TSTP Solution File: SEU163+1 by CSE---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.5
% Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n001.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 : Tue Sep 20 05:13:54 EDT 2022

% Result   : Theorem 0.56s 0.64s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35  % Computer : n001.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 : Sat Sep  3 10:09:55 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.55/0.59  start to proof:theBenchmark
% 0.56/0.63  %-------------------------------------------
% 0.56/0.63  % File        :CSE---1.5
% 0.56/0.63  % Problem     :theBenchmark
% 0.56/0.63  % Transform   :cnf
% 0.56/0.63  % Format      :tptp:raw
% 0.56/0.63  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.63  
% 0.56/0.63  % Result      :Theorem 0.000000s
% 0.56/0.63  % Output      :CNFRefutation 0.000000s
% 0.56/0.63  %-------------------------------------------
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  % File     : SEU163+1 : TPTP v8.1.0. Released v3.3.0.
% 0.56/0.64  % Domain   : Set theory
% 0.56/0.64  % Problem  : MPTP bushy problem t92_zfmisc_1
% 0.56/0.64  % Version  : [Urb07] axioms : Especial.
% 0.56/0.64  % English  :
% 0.56/0.64  
% 0.56/0.64  % Refs     : [Ban01] Bancerek et al. (2001), On the Characterizations of Co
% 0.56/0.64  %          : [Urb07] Urban (2006), Email to G. Sutcliffe
% 0.56/0.64  % Source   : [Urb07]
% 0.56/0.64  % Names    : bushy-t92_zfmisc_1 [Urb07]
% 0.56/0.64  
% 0.56/0.64  % Status   : Theorem
% 0.56/0.64  % Rating   : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.00 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v3.3.0
% 0.56/0.64  % Syntax   : Number of formulae    :    5 (   2 unt;   0 def)
% 0.56/0.64  %            Number of atoms       :    8 (   0 equ)
% 0.56/0.64  %            Maximal formula atoms :    2 (   1 avg)
% 0.56/0.64  %            Number of connectives :    4 (   1   ~;   0   |;   0   &)
% 0.56/0.64  %                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
% 0.56/0.64  %            Maximal formula depth :    5 (   3 avg)
% 0.56/0.64  %            Maximal term depth    :    2 (   1 avg)
% 0.56/0.64  %            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
% 0.56/0.64  %            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
% 0.56/0.64  %            Number of variables   :    8 (   8   !;   0   ?)
% 0.56/0.64  % SPC      : FOF_THM_RFO_NEQ
% 0.56/0.64  
% 0.56/0.64  % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 0.56/0.64  %            library, www.mizar.org
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  fof(reflexivity_r1_tarski,axiom,
% 0.56/0.64      ! [A,B] : subset(A,A) ).
% 0.56/0.64  
% 0.56/0.64  fof(antisymmetry_r2_hidden,axiom,
% 0.56/0.64      ! [A,B] :
% 0.56/0.64        ( in(A,B)
% 0.56/0.64       => ~ in(B,A) ) ).
% 0.56/0.64  
% 0.56/0.64  fof(dt_k3_tarski,axiom,
% 0.56/0.64      $true ).
% 0.56/0.64  
% 0.56/0.64  fof(t92_zfmisc_1,conjecture,
% 0.56/0.64      ! [A,B] :
% 0.56/0.64        ( in(A,B)
% 0.56/0.64       => subset(A,union(B)) ) ).
% 0.56/0.64  
% 0.56/0.64  fof(l50_zfmisc_1,axiom,
% 0.56/0.64      ! [A,B] :
% 0.56/0.64        ( in(A,B)
% 0.56/0.64       => subset(A,union(B)) ) ).
% 0.56/0.64  
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % Proof found
% 0.56/0.64  % SZS status Theorem for theBenchmark
% 0.56/0.64  % SZS output start Proof
% 0.56/0.64  %ClaNum:5(EqnAxiom:0)
% 0.56/0.64  %VarNum:10(SingletonVarNum:5)
% 0.56/0.64  %MaxLitNum:2
% 0.56/0.64  %MaxfuncDepth:1
% 0.56/0.64  %SharedTerms:5
% 0.56/0.64  %goalClause: 1 3
% 0.56/0.64  %singleGoalClaCount:2
% 0.56/0.64  [1]P1(a1,a2)
% 0.56/0.64  [3]~P2(a1,f3(a2))
% 0.56/0.64  [2]P2(x21,x21)
% 0.56/0.64  [5]~P1(x52,x51)+~P1(x51,x52)
% 0.56/0.64  [4]~P1(x41,x42)+P2(x41,f3(x42))
% 0.56/0.64  %EqnAxiom
% 0.56/0.64  
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  cnf(6,plain,
% 0.56/0.64     ($false),
% 0.56/0.64     inference(scs_inference,[],[1,3,4]),
% 0.56/0.64     ['proof']).
% 0.56/0.64  % SZS output end Proof
% 0.56/0.64  % Total time :0.000000s
%------------------------------------------------------------------------------