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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN729+1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s

% Computer : n022.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 19:06:26 EDT 2024

% Result   : Theorem 60.84s 61.88s
% Output   : CNFRefutation 61.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN729+1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun Jun 23 18:54:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.54/0.57  start to proof:theBenchmark
% 60.84/61.85  %-------------------------------------------
% 60.84/61.85  % File        :CSE---1.7
% 60.84/61.85  % Problem     :theBenchmark
% 60.84/61.85  % Transform   :cnf
% 60.84/61.85  % Format      :tptp:raw
% 60.84/61.85  % Command     :java -jar mcs_scs.jar %d %s
% 60.84/61.85  
% 60.84/61.85  % Result      :Theorem 60.260000s
% 60.84/61.85  % Output      :CNFRefutation 60.260000s
% 60.84/61.85  %-------------------------------------------
% 60.84/61.87  %--------------------------------------------------------------------------
% 60.84/61.87  % File     : SYN729+1 : TPTP v8.2.0. Released v2.5.0.
% 60.84/61.87  % Domain   : Syntactic
% 60.84/61.87  % Problem  : Peter Andrews Problem THM72
% 60.84/61.87  % Version  : Especial.
% 60.84/61.87  % English  :
% 60.84/61.87  
% 60.84/61.87  % Refs     : [And97] Andrews (1994), Email to G. Sutcliffe
% 60.84/61.87  % Source   : [And97]
% 60.84/61.87  % Names    : THM72 [And97]
% 60.84/61.87  
% 60.84/61.87  % Status   : Theorem
% 60.84/61.87  % Rating   : 0.00 v5.5.0, 0.04 v5.3.0, 0.09 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.00 v2.5.0
% 60.84/61.87  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 60.84/61.87  %            Number of atoms       :    9 (   0 equ)
% 60.84/61.87  %            Maximal formula atoms :    9 (   9 avg)
% 60.84/61.87  %            Number of connectives :    8 (   0   ~;   0   |;   4   &)
% 60.84/61.87  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 60.84/61.87  %            Maximal formula depth :    7 (   7 avg)
% 60.84/61.87  %            Maximal term depth    :    3 (   1 avg)
% 60.84/61.87  %            Number of predicates  :    2 (   2 usr;   0 prp; 1-2 aty)
% 60.84/61.87  %            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
% 60.84/61.87  %            Number of variables   :    5 (   3   !;   2   ?)
% 60.84/61.87  % SPC      : FOF_THM_RFO_NEQ
% 60.84/61.87  
% 60.84/61.87  % Comments :
% 60.84/61.87  %--------------------------------------------------------------------------
% 60.84/61.87  fof(thm72,conjecture,
% 60.84/61.87      ( ( ! [X] :
% 60.84/61.87          ? [Y] :
% 60.84/61.87            ( p(X)
% 60.84/61.87           => ( l(X,g(h(Y)))
% 60.84/61.87              & p(Y) ) )
% 60.84/61.87        & ! [W] :
% 60.84/61.87            ( p(W)
% 60.84/61.87           => ( p(g(W))
% 60.84/61.87              & p(h(W)) ) ) )
% 60.84/61.87     => ! [X] :
% 60.84/61.87          ( p(X)
% 60.84/61.87         => ? [Y] :
% 60.84/61.87              ( l(X,Y)
% 60.84/61.87              & p(Y) ) ) ) ).
% 60.84/61.87  
% 60.84/61.87  %--------------------------------------------------------------------------
% 60.84/61.87  %-------------------------------------------
% 60.84/61.87  % Proof found
% 60.84/61.88  % SZS status Theorem for theBenchmark
% 60.84/61.88  % SZS output start Proof
% 60.84/61.89  %ClaNum:6(EqnAxiom:0)
% 60.84/61.89  %VarNum:11(SingletonVarNum:5)
% 60.84/61.89  %MaxLitNum:2
% 60.84/61.89  %MaxfuncDepth:3
% 60.84/61.89  %SharedTerms:2
% 60.84/61.89  %goalClause: 1 2 3 4 5 6
% 60.84/61.89  %singleGoalClaCount:1
% 60.84/61.89  [1]P1(a1)
% 60.84/61.89  [5]~P1(x51)+~P2(a1,x51)
% 60.84/61.89  [2]~P1(x21)+P1(f3(x21))
% 60.84/61.89  [3]~P1(x31)+P1(f4(x31))
% 60.84/61.89  [4]~P1(x41)+P1(f2(x41))
% 60.84/61.89  [6]~P1(x61)+P2(x61,f4(f3(f2(x61))))
% 60.84/61.89  %EqnAxiom
% 60.84/61.89  
% 60.84/61.89  %-------------------------------------------
% 61.00/62.00  cnf(17,plain,
% 61.00/62.00     (P1(f3(f2(a1)))),
% 61.00/62.00     inference(scs_inference,[],[1,2,4])).
% 61.00/62.00  cnf(154425,plain,
% 61.00/62.00     (P1(f4(f3(f2(a1))))),
% 61.00/62.00     inference(scs_inference,[],[17,4,3])).
% 61.00/62.00  cnf(155075,plain,
% 61.00/62.00     (P2(a1,f4(f3(f2(a1))))),
% 61.00/62.00     inference(scs_inference,[],[1,6])).
% 61.00/62.00  cnf(155078,plain,
% 61.00/62.00     ($false),
% 61.00/62.00     inference(scs_inference,[],[155075,154425,5]),
% 61.00/62.00     ['proof']).
% 61.14/62.15  % SZS output end Proof
% 61.14/62.15  % Total time :60.260000s
%------------------------------------------------------------------------------