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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN936+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 : n029.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 0.58s 0.63s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN936+1 : TPTP v8.2.0. Released v3.1.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n029.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    : 300
% 0.12/0.33  % DateTime   : Sun Jun 23 21:28:24 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.49/0.59  start to proof:theBenchmark
% 0.49/0.62  %-------------------------------------------
% 0.49/0.62  % File        :CSE---1.7
% 0.49/0.62  % Problem     :theBenchmark
% 0.49/0.62  % Transform   :cnf
% 0.49/0.62  % Format      :tptp:raw
% 0.49/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.49/0.62  
% 0.49/0.62  % Result      :Theorem 0.000000s
% 0.49/0.62  % Output      :CNFRefutation 0.000000s
% 0.49/0.62  %-------------------------------------------
% 0.58/0.63  %--------------------------------------------------------------------------
% 0.58/0.63  % File     : SYN936+1 : TPTP v8.2.0. Released v3.1.0.
% 0.58/0.63  % Domain   : Syntactic
% 0.58/0.63  % Problem  : From Smullyan
% 0.58/0.63  % Version  : Especial.
% 0.58/0.63  % English  :
% 0.58/0.63  
% 0.58/0.63  % Refs     : [Smu68] Smullyan (1968), First-Order Logic
% 0.58/0.63  %            [Shu04] Shults (2004), Email to G. Sutcliffe
% 0.58/0.63  % Source   : [Shu04]
% 0.58/0.63  % Names    :
% 0.58/0.63  
% 0.58/0.63  % Status   : Theorem
% 0.58/0.63  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v3.1.0
% 0.58/0.63  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.58/0.63  %            Number of atoms       :    4 (   0 equ)
% 0.58/0.63  %            Maximal formula atoms :    4 (   4 avg)
% 0.58/0.63  %            Number of connectives :    3 (   0   ~;   0   |;   0   &)
% 0.58/0.63  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.58/0.63  %            Maximal formula depth :    4 (   4 avg)
% 0.58/0.63  %            Maximal term depth    :    1 (   1 avg)
% 0.58/0.63  %            Number of predicates  :    2 (   2 usr;   1 prp; 0-1 aty)
% 0.58/0.63  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.58/0.63  %            Number of variables   :    2 (   2   !;   0   ?)
% 0.58/0.63  % SPC      : FOF_THM_EPR_NEQ
% 0.58/0.63  
% 0.58/0.63  % Comments :
% 0.58/0.63  %--------------------------------------------------------------------------
% 0.58/0.63  fof(prove_this,conjecture,
% 0.58/0.63      ( ! [X] :
% 0.58/0.63          ( c
% 0.58/0.63         => p(X) )
% 0.58/0.63    <=> ( c
% 0.58/0.63       => ! [X] : p(X) ) ) ).
% 0.58/0.63  
% 0.58/0.63  %--------------------------------------------------------------------------
% 0.58/0.63  %-------------------------------------------
% 0.58/0.63  % Proof found
% 0.58/0.63  % SZS status Theorem for theBenchmark
% 0.58/0.63  % SZS output start Proof
% 0.58/0.63  %ClaNum:5(EqnAxiom:0)
% 0.58/0.63  %VarNum:2(SingletonVarNum:2)
% 0.58/0.63  %MaxLitNum:3
% 0.58/0.63  %MaxfuncDepth:0
% 0.58/0.63  %SharedTerms:7
% 0.58/0.63  %goalClause: 1 4 5
% 0.58/0.63  %singleGoalClaCount:1
% 0.58/0.63  [1]P1(a5000)
% 0.58/0.63  [4]~P2(a1)+~P2(a2)
% 0.58/0.63  [5]P2(x51)+P2(x52)+~P1(a5000)
% 0.58/0.63  %EqnAxiom
% 0.58/0.63  
% 0.58/0.63  %-------------------------------------------
% 0.58/0.63  cnf(6,plain,
% 0.58/0.63     (P2(x61)+P2(x62)),
% 0.58/0.63     inference(scs_inference,[],[1,5])).
% 0.58/0.63  cnf(7,plain,
% 0.58/0.63     (~P2(a2)),
% 0.58/0.63     inference(scs_inference,[],[4,6])).
% 0.58/0.63  cnf(9,plain,
% 0.58/0.63     ($false),
% 0.58/0.63     inference(scs_inference,[],[7,6]),
% 0.58/0.63     ['proof']).
% 0.58/0.63  % SZS output end Proof
% 0.58/0.63  % Total time :0.000000s
%------------------------------------------------------------------------------