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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN934+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n032.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 : Mon Jun 24 19:07:23 EDT 2024

% Result   : Theorem 0.48s 0.57s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SYN934+1 : TPTP v8.2.0. Released v3.1.0.
% 0.06/0.10  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sun Jun 23 21:00:23 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.54  start to proof:theBenchmark
% 0.48/0.56  %-------------------------------------------
% 0.48/0.56  % File        :CSE---1.7
% 0.48/0.56  % Problem     :theBenchmark
% 0.48/0.56  % Transform   :cnf
% 0.48/0.56  % Format      :tptp:raw
% 0.48/0.56  % Command     :java -jar mcs_scs.jar %d %s
% 0.48/0.56  
% 0.48/0.56  % Result      :Theorem 0.000000s
% 0.48/0.56  % Output      :CNFRefutation 0.000000s
% 0.48/0.56  %-------------------------------------------
% 0.48/0.57  %--------------------------------------------------------------------------
% 0.48/0.57  % File     : SYN934+1 : TPTP v8.2.0. Released v3.1.0.
% 0.48/0.57  % Domain   : Syntactic
% 0.48/0.57  % Problem  : From Smullyan
% 0.48/0.57  % Version  : Especial.
% 0.48/0.57  % English  :
% 0.48/0.57  
% 0.48/0.57  % Refs     : [Smu68] Smullyan (1968), First-Order Logic
% 0.48/0.57  %            [Shu04] Shults (2004), Email to G. Sutcliffe
% 0.48/0.57  % Source   : [Shu04]
% 0.48/0.57  % Names    :
% 0.48/0.57  
% 0.48/0.57  % Status   : Theorem
% 0.48/0.57  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0
% 0.48/0.57  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.48/0.57  %            Number of atoms       :    4 (   0 equ)
% 0.48/0.57  %            Maximal formula atoms :    4 (   4 avg)
% 0.48/0.57  %            Number of connectives :    3 (   0   ~;   0   |;   0   &)
% 0.48/0.57  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.48/0.57  %            Maximal formula depth :    4 (   4 avg)
% 0.48/0.57  %            Maximal term depth    :    1 (   1 avg)
% 0.48/0.57  %            Number of predicates  :    2 (   2 usr;   1 prp; 0-1 aty)
% 0.48/0.57  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.48/0.57  %            Number of variables   :    2 (   0   !;   2   ?)
% 0.48/0.57  % SPC      : FOF_THM_EPR_NEQ
% 0.48/0.57  
% 0.48/0.57  % Comments :
% 0.48/0.57  %--------------------------------------------------------------------------
% 0.48/0.57  fof(prove_this,conjecture,
% 0.48/0.57      ( ? [X] :
% 0.48/0.57          ( c
% 0.48/0.57         => p(X) )
% 0.48/0.57    <=> ( c
% 0.48/0.57       => ? [X] : p(X) ) ) ).
% 0.48/0.57  
% 0.48/0.57  %--------------------------------------------------------------------------
% 0.48/0.57  %-------------------------------------------
% 0.48/0.57  % Proof found
% 0.48/0.57  % SZS status Theorem for theBenchmark
% 0.48/0.57  % SZS output start Proof
% 0.48/0.57  %ClaNum:5(EqnAxiom:0)
% 0.48/0.57  %VarNum:2(SingletonVarNum:2)
% 0.48/0.57  %MaxLitNum:3
% 0.48/0.57  %MaxfuncDepth:0
% 0.48/0.57  %SharedTerms:7
% 0.48/0.57  %goalClause: 1 2 5
% 0.48/0.57  %singleGoalClaCount:1
% 0.48/0.57  [1]P1(a5000)
% 0.48/0.57  [5]~P2(x51)+~P2(x52)
% 0.48/0.57  [2]P2(a1)+P2(a2)+~P1(a5000)
% 0.48/0.57  %EqnAxiom
% 0.48/0.57  
% 0.48/0.57  %-------------------------------------------
% 0.48/0.57  cnf(6,plain,
% 0.48/0.57     (P2(a1)+P2(a2)),
% 0.48/0.57     inference(scs_inference,[],[1,2])).
% 0.48/0.57  cnf(7,plain,
% 0.48/0.57     (P2(a2)),
% 0.48/0.57     inference(scs_inference,[],[5,6])).
% 0.48/0.57  cnf(9,plain,
% 0.48/0.57     ($false),
% 0.48/0.57     inference(scs_inference,[],[7,5]),
% 0.48/0.57     ['proof']).
% 0.48/0.57  % SZS output end Proof
% 0.48/0.57  % Total time :0.000000s
%------------------------------------------------------------------------------