TSTP Solution File: LAT270-2 by CSE_E---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.4
% Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n004.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  : 300s
% DateTime : Sat Sep 17 17:49:35 EDT 2022

% Result   : Unsatisfiable 0.69s 0.75s
% Output   : CNFRefutation 0.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   0 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-4 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0,axiom,
    ( c_lessequals(X3,v_A,tc_set(t_a))
    | ~ c_in(X1,v_A,t_a)
    | ~ c_in(X2,v_A,t_a)
    | ~ c_lessequals(X3,c_Tarski_Ointerval(v_r,X2,X1,t_a),tc_set(t_a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_a,v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_b,v_A,t_a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_6,negated_conjecture,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).

cnf(c_0_5,axiom,
    ( c_lessequals(X3,v_A,tc_set(t_a))
    | ~ c_in(X1,v_A,t_a)
    | ~ c_in(X2,v_A,t_a)
    | ~ c_lessequals(X3,c_Tarski_Ointerval(v_r,X2,X1,t_a),tc_set(t_a)) ),
    cls_Tarski_O_91_124_Aa1_A_58_AA_59_Ab1_A_58_AA_59_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_A_124_93_A_61_61_62_AS1_A_60_61_AA_A_61_61_ATrue_0 ).

cnf(c_0_6,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
    cls_conjecture_2 ).

cnf(c_0_7,negated_conjecture,
    c_in(v_a,v_A,t_a),
    cls_conjecture_0 ).

cnf(c_0_8,negated_conjecture,
    c_in(v_b,v_A,t_a),
    cls_conjecture_1 ).

cnf(c_0_9,negated_conjecture,
    ~ c_lessequals(v_S,v_A,tc_set(t_a)),
    cls_conjecture_6 ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LAT270-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command   : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Sep  1 12:52:49 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.46  openjdk version "1.8.0_171"
% 0.21/0.46  OpenJDK Runtime Environment (build 1.8.0_171-b10)
% 0.21/0.46  OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode)
% 0.21/0.46  file=/export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.71  start to proof: theBenchmark
% 0.69/0.75  % Version  : CSE_E---1.4
% 0.69/0.75  % Problem  : theBenchmark.p
% 0.69/0.75  % Proof found
% 0.69/0.75  % SZS status Theorem for theBenchmark.p
% 0.69/0.75  % SZS output start Proof
% See solution above
% 0.69/0.75  % Total time : 0.030000 s
%------------------------------------------------------------------------------