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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN365+1 : TPTP v8.2.0. Released v2.0.0.
% 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 19:05:20 EDT 2024

% Result   : Theorem 58.54s 59.65s
% Output   : CNFRefutation 58.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN365+1 : TPTP v8.2.0. Released v2.0.0.
% 0.11/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun Jun 23 19:50:54 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.19/0.56  start to proof:theBenchmark
% 58.54/59.63  %-------------------------------------------
% 58.54/59.63  % File        :CSE---1.7
% 58.54/59.63  % Problem     :theBenchmark
% 58.54/59.63  % Transform   :cnf
% 58.54/59.63  % Format      :tptp:raw
% 58.54/59.63  % Command     :java -jar mcs_scs.jar %d %s
% 58.54/59.63  
% 58.54/59.63  % Result      :Theorem 58.010000s
% 58.54/59.63  % Output      :CNFRefutation 58.010000s
% 58.54/59.63  %-------------------------------------------
% 58.54/59.65  %--------------------------------------------------------------------------
% 58.54/59.65  % File     : SYN365+1 : TPTP v8.2.0. Released v2.0.0.
% 58.54/59.65  % Domain   : Syntactic
% 58.54/59.65  % Problem  : Peter Andrews Problem X2116
% 58.54/59.65  % Version  : Especial.
% 58.54/59.65  % English  :
% 58.54/59.65  
% 58.54/59.65  % Refs     : [And86] Andrews (1986), An Introduction to Mathematical Logic
% 58.54/59.65  %          : [And94] Andrews (1994), Email to G. Sutcliffe
% 58.54/59.65  % Source   : [And94]
% 58.54/59.65  % Names    : X2116 [And86]
% 58.54/59.65  
% 58.54/59.65  % Status   : Theorem
% 58.54/59.65  % Rating   : 0.00 v5.5.0, 0.04 v5.3.0, 0.13 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 v2.1.0
% 58.54/59.65  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 58.54/59.65  %            Number of atoms       :    9 (   0 equ)
% 58.54/59.65  %            Maximal formula atoms :    9 (   9 avg)
% 58.54/59.65  %            Number of connectives :    8 (   0   ~;   0   |;   4   &)
% 58.54/59.65  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 58.54/59.65  %            Maximal formula depth :    7 (   7 avg)
% 58.54/59.65  %            Maximal term depth    :    3 (   1 avg)
% 58.54/59.65  %            Number of predicates  :    2 (   2 usr;   0 prp; 1-2 aty)
% 58.54/59.65  %            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
% 58.54/59.65  %            Number of variables   :    5 (   3   !;   2   ?)
% 58.54/59.65  % SPC      : FOF_THM_RFO_NEQ
% 58.54/59.65  
% 58.54/59.65  % Comments :
% 58.54/59.65  %--------------------------------------------------------------------------
% 58.54/59.65  fof(x2116,conjecture,
% 58.54/59.65      ( ( ! [X] :
% 58.54/59.65          ? [Y] :
% 58.54/59.65            ( big_p(X)
% 58.54/59.65           => ( big_r(X,g(h(Y)))
% 58.54/59.65              & big_p(Y) ) )
% 58.54/59.65        & ! [W] :
% 58.54/59.65            ( big_p(W)
% 58.54/59.65           => ( big_p(g(W))
% 58.54/59.65              & big_p(h(W)) ) ) )
% 58.54/59.65     => ! [X] :
% 58.54/59.65          ( big_p(X)
% 58.54/59.65         => ? [Y] :
% 58.54/59.65              ( big_r(X,Y)
% 58.54/59.65              & big_p(Y) ) ) ) ).
% 58.54/59.65  
% 58.54/59.65  %--------------------------------------------------------------------------
% 58.54/59.65  %-------------------------------------------
% 58.54/59.65  % Proof found
% 58.54/59.65  % SZS status Theorem for theBenchmark
% 58.54/59.65  % SZS output start Proof
% 58.60/59.66  %ClaNum:6(EqnAxiom:0)
% 58.60/59.66  %VarNum:11(SingletonVarNum:5)
% 58.60/59.66  %MaxLitNum:2
% 58.60/59.66  %MaxfuncDepth:3
% 58.60/59.66  %SharedTerms:2
% 58.60/59.66  %goalClause: 1 2 3 4 5 6
% 58.60/59.66  %singleGoalClaCount:1
% 58.60/59.66  [1]P1(a1)
% 58.60/59.66  [5]~P1(x51)+~P2(a1,x51)
% 58.60/59.66  [2]~P1(x21)+P1(f3(x21))
% 58.60/59.66  [3]~P1(x31)+P1(f4(x31))
% 58.60/59.66  [4]~P1(x41)+P1(f2(x41))
% 58.60/59.66  [6]~P1(x61)+P2(x61,f4(f3(f2(x61))))
% 58.60/59.66  %EqnAxiom
% 58.60/59.66  
% 58.60/59.66  %-------------------------------------------
% 58.71/59.75  cnf(7,plain,
% 58.71/59.75     (P1(f3(f4(a1)))),
% 58.71/59.75     inference(scs_inference,[],[1,2,3])).
% 58.71/59.75  cnf(17,plain,
% 58.71/59.75     (P1(f3(f2(a1)))),
% 58.71/59.75     inference(scs_inference,[],[1,2,4])).
% 58.71/59.75  cnf(139276,plain,
% 58.71/59.75     (~P1(f4(f3(f2(a1))))),
% 58.71/59.75     inference(scs_inference,[],[7,1,2,3,4,6,5])).
% 58.71/59.75  cnf(139295,plain,
% 58.71/59.75     ($false),
% 58.71/59.75     inference(scs_inference,[],[139276,17,2,3]),
% 58.71/59.75     ['proof']).
% 58.81/59.86  % SZS output end Proof
% 58.81/59.86  % Total time :58.010000s
%------------------------------------------------------------------------------