TSTP Solution File: SYN891-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 12:30:44 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   29
% Syntax   : Number of clauses     :   77 (  28 unt;  24 nHn;  77 RR)
%            Number of literals    :  408 (   0 equ; 301 neg)
%            Maximal clause size   :   19 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   2 prp; 0-15 aty)
%            Number of functors    :   23 (  23 usr;  23 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ssNder1_0,
    file('SYN891-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ ssNder1_0
    | ssNder1_1r1(u) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_0
    | ssNder1_2r1r1(u,v) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_0
    | ssNder1_3r1r1r1(u,v,w) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_0
    | ssNder1_4r1r1r1r1(u,v,w,x) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31)
    | ~ ssNder1_0 ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_0
    | ssNder1_5r1r1r1r1r1(u,v,w,x,y) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_0
    | ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_0
    | ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(14,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_0
    | ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(16,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25)
    | ~ ssNder1_0 ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_0
    | ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_0
    | ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_0
    | ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(21,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_0
    | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(22,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_0
    | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(24,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23)
    | ~ ssNder1_0 ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(27,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_0
    | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(28,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_0
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
    | ~ ssNder1_0 ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssPv19_2r1r1(u,v)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_0
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(31,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_0
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ssPv18_3r1r1r1(u,v,w)
    | ssPv20_1r1(u) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(32,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_0
    | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_0
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(34,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19)
    | ~ ssNder1_0 ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(42,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssPv18_3r1r1r1(u,v,w)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_0
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv20_1r1(u) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(43,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_0
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv19_2r1r1(u,v) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(47,axiom,
    ( ~ ssPv20_1r1(u)
    | ~ ssNder1_1r1(u)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssPv17_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_0
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ ssNder1_1r1(u)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
    | ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
    | ~ ssNder1_4r1r1r1r1(u,v,w,x)
    | ~ ssNder1_3r1r1r1(u,v,w)
    | ~ ssNder1_2r1r1(u,v)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ~ ssNder1_0
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y)
    | ssPv17_4r1r1r1r1(u,v,w,x) ),
    file('SYN891-1.p',unknown),
    [] ).

cnf(87,plain,
    ssNder1_1r1(u),
    inference(mrr,[status(thm)],[2,1]),
    [iquote('0:MRR:2.0,1.0')] ).

cnf(88,plain,
    ssNder1_2r1r1(u,v),
    inference(mrr,[status(thm)],[3,87,1]),
    [iquote('0:MRR:3.0,3.1,87.0,1.0')] ).

cnf(89,plain,
    ssNder1_3r1r1r1(u,v,w),
    inference(mrr,[status(thm)],[4,87,88,1]),
    [iquote('0:MRR:4.0,4.1,4.2,87.0,88.0,1.0')] ).

cnf(90,plain,
    ssNder1_4r1r1r1r1(u,v,w,x),
    inference(mrr,[status(thm)],[5,87,88,89,1]),
    [iquote('0:MRR:5.0,5.1,5.2,5.3,87.0,88.0,89.0,1.0')] ).

cnf(92,plain,
    ~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
    inference(mrr,[status(thm)],[7,87,89,88,1]),
    [iquote('0:MRR:7.0,7.1,7.2,7.4,87.0,89.0,88.0,1.0')] ).

cnf(93,plain,
    ssNder1_5r1r1r1r1r1(u,v,w,x,y),
    inference(mrr,[status(thm)],[8,87,89,88,90,1]),
    [iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,87.0,89.0,88.0,90.0,1.0')] ).

cnf(94,plain,
    ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28),
    inference(mrr,[status(thm)],[9,87,89,88,90,1]),
    [iquote('0:MRR:9.0,9.1,9.2,9.3,9.4,87.0,89.0,88.0,90.0,1.0')] ).

cnf(96,plain,
    ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
    inference(mrr,[status(thm)],[11,87,90,89,88,93,1]),
    [iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,87.0,90.0,89.0,88.0,93.0,1.0')] ).

cnf(99,plain,
    ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
    inference(mrr,[status(thm)],[14,87,93,90,89,88,96,1]),
    [iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,87.0,93.0,90.0,89.0,88.0,96.0,1.0')] ).

cnf(101,plain,
    ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
    inference(mrr,[status(thm)],[16,87,96,93,90,89,88,1]),
    [iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,16.5,16.7,87.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).

cnf(102,plain,
    ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
    inference(mrr,[status(thm)],[17,87,96,93,90,89,88,99,1]),
    [iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,87.0,96.0,93.0,90.0,89.0,88.0,99.0,1.0')] ).

cnf(104,plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
    inference(mrr,[status(thm)],[19,87,99,96,93,90,89,88,102,1]),
    [iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,87.0,99.0,96.0,93.0,90.0,89.0,88.0,102.0,1.0')] ).

cnf(105,plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
    inference(mrr,[status(thm)],[20,87,102,99,96,93,90,89,88,104,1]),
    [iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,87.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,104.0,1.0')] ).

cnf(106,plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
    inference(mrr,[status(thm)],[21,87,104,102,99,96,93,90,89,88,105,1]),
    [iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,87.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,105.0,1.0')] ).

cnf(107,plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
    inference(mrr,[status(thm)],[22,87,105,104,102,99,96,93,90,89,88,106,1]),
    [iquote('0:MRR:22.0,22.1,22.2,22.3,22.4,22.5,22.6,22.7,22.8,22.9,22.10,22.11,87.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,1.0')] ).

cnf(109,plain,
    ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23),
    inference(mrr,[status(thm)],[24,87,106,105,104,102,99,96,93,90,89,88,1]),
    [iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.12,87.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).

cnf(112,plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
    inference(mrr,[status(thm)],[27,87,106,105,104,102,99,96,93,90,89,88,107,1]),
    [iquote('0:MRR:27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,27.10,27.11,27.12,87.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,107.0,1.0')] ).

cnf(113,plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
    inference(mrr,[status(thm)],[28,87,106,105,104,102,99,96,93,90,89,88,107,1]),
    [iquote('0:MRR:28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,28.10,28.11,28.12,87.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,107.0,1.0')] ).

cnf(114,plain,
    ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
    inference(mrr,[status(thm)],[29,87,107,106,105,104,102,99,96,93,90,89,88,1]),
    [iquote('0:MRR:29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,29.10,29.11,29.13,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).

cnf(115,plain,
    ( ~ ssPv19_2r1r1(u,v)
    | ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    inference(mrr,[status(thm)],[30,87,105,104,102,99,96,93,90,89,88,106,1]),
    [iquote('0:MRR:30.0,30.2,30.3,30.4,30.5,30.7,30.8,30.9,30.10,30.12,30.13,30.14,87.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,1.0')] ).

cnf(116,plain,
    ( ssPv20_1r1(u)
    | ssPv18_3r1r1r1(u,v,w)
    | ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
    inference(mrr,[status(thm)],[31,87,106,105,104,102,99,96,93,90,89,88,107,1]),
    [iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,87.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,107.0,1.0')] ).

cnf(117,plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
    inference(mrr,[status(thm)],[32,87,107,106,105,104,102,99,96,93,90,89,88,112,1]),
    [iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,32.10,32.11,32.12,32.13,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).

cnf(118,plain,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18),
    inference(mrr,[status(thm)],[33,87,107,106,105,104,102,99,96,93,90,89,88,112,1]),
    [iquote('0:MRR:33.0,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,33.10,33.11,33.12,33.13,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).

cnf(119,plain,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
    inference(mrr,[status(thm)],[34,87,112,107,106,105,104,102,99,96,93,90,89,88,1]),
    [iquote('0:MRR:34.0,34.1,34.2,34.3,34.4,34.5,34.6,34.7,34.8,34.9,34.10,34.11,34.12,34.14,87.0,112.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).

cnf(127,plain,
    ( ~ ssPv18_3r1r1r1(u,v,w)
    | ssPv20_1r1(u)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
    inference(mrr,[status(thm)],[42,87,107,106,105,104,102,99,96,93,90,89,88,112,1]),
    [iquote('0:MRR:42.0,42.1,42.2,42.3,42.4,42.5,42.6,42.7,42.8,42.9,42.11,42.12,42.13,42.14,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).

cnf(128,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv19_2r1r1(u,v)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
    inference(mrr,[status(thm)],[43,87,107,106,105,104,102,99,96,93,90,89,88,112,1]),
    [iquote('0:MRR:43.0,43.2,43.3,43.4,43.5,43.6,43.7,43.8,43.9,43.10,43.11,43.12,43.13,43.14,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).

cnf(132,plain,
    ( ~ ssPv20_1r1(u)
    | ~ ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
    inference(mrr,[status(thm)],[47,87,107,106,105,104,102,99,96,93,90,89,88,117,112,1]),
    [iquote('0:MRR:47.1,47.2,47.3,47.4,47.5,47.6,47.7,47.8,47.9,47.11,47.12,47.13,47.14,47.15,47.16,87.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,117.0,112.0,1.0')] ).

cnf(135,plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
    inference(mrr,[status(thm)],[50,87,112,107,106,105,104,102,99,96,93,90,89,88,117,1]),
    [iquote('0:MRR:50.0,50.2,50.3,50.4,50.5,50.6,50.7,50.8,50.9,50.10,50.11,50.12,50.13,50.14,50.15,87.0,112.0,107.0,106.0,105.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,117.0,1.0')] ).

cnf(181,plain,
    ( ssPv20_1r1(u)
    | ssPv18_3r1r1r1(u,v,w)
    | ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
    inference(res,[status(thm),theory(equality)],[116,109]),
    [iquote('0:Res:116.3,109.0')] ).

cnf(182,plain,
    ( ssPv20_1r1(u)
    | ssPv18_3r1r1r1(u,v,w) ),
    inference(res,[status(thm),theory(equality)],[181,101]),
    [iquote('0:Res:181.2,101.0')] ).

cnf(183,plain,
    ( ssPv20_1r1(u)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
    inference(mrr,[status(thm)],[127,182]),
    [iquote('0:MRR:127.0,182.1')] ).

cnf(184,plain,
    ( ssPv20_1r1(u)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
    inference(res,[status(thm),theory(equality)],[183,114]),
    [iquote('0:Res:183.2,114.0')] ).

cnf(185,plain,
    ssPv20_1r1(u),
    inference(res,[status(thm),theory(equality)],[184,109]),
    [iquote('0:Res:184.1,109.0')] ).

cnf(189,plain,
    ( ~ ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
    inference(mrr,[status(thm)],[132,185]),
    [iquote('0:MRR:132.0,185.0')] ).

cnf(197,plain,
    ( ssPv19_2r1r1(u,v)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
    inference(res,[status(thm),theory(equality)],[113,128]),
    [iquote('0:Res:113.0,128.0')] ).

cnf(198,plain,
    ( ssPv19_2r1r1(u,v)
    | ssPv17_4r1r1r1r1(u,v,w,x) ),
    inference(res,[status(thm),theory(equality)],[197,109]),
    [iquote('0:Res:197.2,109.0')] ).

cnf(199,plain,
    ( ssPv19_2r1r1(u,v)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
    inference(res,[status(thm),theory(equality)],[198,189]),
    [iquote('0:Res:198.1,189.0')] ).

cnf(200,plain,
    ( ssPv19_2r1r1(u,v)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
    inference(res,[status(thm),theory(equality)],[199,119]),
    [iquote('0:Res:199.2,119.0')] ).

cnf(205,plain,
    ssPv19_2r1r1(u,v),
    inference(res,[status(thm),theory(equality)],[200,114]),
    [iquote('0:Res:200.1,114.0')] ).

cnf(206,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    inference(mrr,[status(thm)],[115,205]),
    [iquote('0:MRR:115.0,205.0')] ).

cnf(215,plain,
    ( ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
    inference(res,[status(thm),theory(equality)],[118,135]),
    [iquote('0:Res:118.0,135.0')] ).

cnf(216,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    inference(res,[status(thm),theory(equality)],[215,206]),
    [iquote('0:Res:215.2,206.1')] ).

cnf(218,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
    | ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    inference(obv,[status(thm),theory(equality)],[216]),
    [iquote('0:Obv:216.2')] ).

cnf(220,plain,
    ( ssPv17_4r1r1r1r1(u,v,w,x)
    | ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
    inference(res,[status(thm),theory(equality)],[94,218]),
    [iquote('0:Res:94.0,218.0')] ).

cnf(222,plain,
    ssPv17_4r1r1r1r1(u,v,w,x),
    inference(res,[status(thm),theory(equality)],[220,92]),
    [iquote('0:Res:220.1,92.0')] ).

cnf(224,plain,
    ( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
    inference(mrr,[status(thm)],[189,222]),
    [iquote('0:MRR:189.0,222.0')] ).

cnf(225,plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
    inference(res,[status(thm),theory(equality)],[224,119]),
    [iquote('0:Res:224.1,119.0')] ).

cnf(226,plain,
    $false,
    inference(unc,[status(thm)],[225,114]),
    [iquote('0:UnC:225.0,114.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN891-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 06:22:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  
% 0.18/0.49  SPASS V 3.9 
% 0.18/0.49  SPASS beiseite: Proof found.
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.49  SPASS derived 43 clauses, backtracked 0 clauses, performed 0 splits and kept 128 clauses.
% 0.18/0.49  SPASS allocated 76452 KBytes.
% 0.18/0.49  SPASS spent	0:00:00.15 on the problem.
% 0.18/0.49  		0:00:00.05 for the input.
% 0.18/0.49  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.49  		0:00:00.00 for inferences.
% 0.18/0.49  		0:00:00.00 for the backtracking.
% 0.18/0.49  		0:00:00.06 for the reduction.
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  Here is a proof with depth 5, length 77 :
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause7 clause8 clause9 clause11 clause14 clause16 clause17 clause19 clause20 clause21 clause22 clause24 clause27 clause28 clause29 clause30 clause31 clause32 clause33 clause34 clause42 clause43 clause47 clause50
% 0.18/0.49  
%------------------------------------------------------------------------------