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CSE---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE---1.7
% Problem  : SYN346+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 : n020.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 19:05:16 EDT 2024

% Result   : Theorem 0.53s 0.60s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SYN346+1 : TPTP v8.2.0. Released v2.0.0.
% 0.03/0.12  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33  % Computer : n020.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 22:10:54 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.53/0.57  start to proof:theBenchmark
% 0.53/0.60  %-------------------------------------------
% 0.53/0.60  % File        :CSE---1.7
% 0.53/0.60  % Problem     :theBenchmark
% 0.53/0.60  % Transform   :cnf
% 0.53/0.60  % Format      :tptp:raw
% 0.53/0.60  % Command     :java -jar mcs_scs.jar %d %s
% 0.53/0.60  
% 0.53/0.60  % Result      :Theorem 0.000000s
% 0.53/0.60  % Output      :CNFRefutation 0.000000s
% 0.53/0.60  %-------------------------------------------
% 0.53/0.60  %--------------------------------------------------------------------------
% 0.53/0.60  % File     : SYN346+1 : TPTP v8.2.0. Released v2.0.0.
% 0.53/0.60  % Domain   : Syntactic
% 0.53/0.60  % Problem  : Church problem 46.17 (2)
% 0.53/0.60  % Version  : Especial.
% 0.53/0.60  % English  :
% 0.53/0.60  
% 0.53/0.60  % Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.53/0.60  % Source   : [Chu56]
% 0.53/0.60  % Names    : 46.17 (2) [Chu56]
% 0.53/0.60  
% 0.53/0.60  % Status   : Theorem
% 0.53/0.60  % Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.0.1, 0.05 v3.7.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.53/0.60  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.53/0.60  %            Number of atoms       :    6 (   0 equ)
% 0.53/0.60  %            Maximal formula atoms :    6 (   6 avg)
% 0.53/0.60  %            Number of connectives :    5 (   0   ~;   1   |;   2   &)
% 0.53/0.60  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.53/0.60  %            Maximal formula depth :   11 (  11 avg)
% 0.53/0.60  %            Maximal term depth    :    1 (   1 avg)
% 0.53/0.60  %            Number of predicates  :    1 (   1 usr;   0 prp; 2-2 aty)
% 0.53/0.60  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.53/0.60  %            Number of variables   :    6 (   4   !;   2   ?)
% 0.53/0.60  % SPC      : FOF_THM_RFO_NEQ
% 0.53/0.60  
% 0.53/0.60  % Comments : X1 does not occur, but that's how it is in the book.
% 0.53/0.60  %--------------------------------------------------------------------------
% 0.53/0.60  fof(church_46_17_2,conjecture,
% 0.53/0.60      ! [X1,X2] :
% 0.53/0.60      ? [Y1,Y2] :
% 0.53/0.60      ! [Z1,Z2] :
% 0.53/0.60        ( big_f(X2,Z1)
% 0.53/0.60       => ( big_f(Y1,Z2)
% 0.53/0.60         => ( ( big_f(Y1,Z1)
% 0.53/0.60              & big_f(Y2,Z1) )
% 0.53/0.60            | ( big_f(X2,Z2)
% 0.53/0.60              & big_f(Y2,Z2) ) ) ) ) ).
% 0.53/0.60  
% 0.53/0.60  %--------------------------------------------------------------------------
% 0.53/0.60  %-------------------------------------------
% 0.53/0.60  % Proof found
% 0.53/0.60  % SZS status Theorem for theBenchmark
% 0.53/0.60  % SZS output start Proof
% 0.53/0.60  %ClaNum:4(EqnAxiom:0)
% 0.53/0.60  %VarNum:16(SingletonVarNum:8)
% 0.53/0.60  %MaxLitNum:2
% 0.53/0.60  %MaxfuncDepth:1
% 0.53/0.60  %SharedTerms:1
% 0.53/0.60  %goalClause: 1 2 3 4
% 0.53/0.60  %singleGoalClaCount:2
% 0.53/0.60  [1]P1(a1,f2(x11,x12))
% 0.53/0.60  [2]P1(x21,f3(x21,x22))
% 0.53/0.60  [3]~P1(x31,f3(x32,x31))+~P1(a1,f3(x32,x31))
% 0.53/0.60  [4]~P1(x41,f2(x42,x41))+~P1(x42,f2(x42,x41))
% 0.53/0.60  %EqnAxiom
% 0.53/0.60  
% 0.53/0.60  %-------------------------------------------
% 0.53/0.61  cnf(5,plain,
% 0.53/0.61     ($false),
% 0.53/0.61     inference(scs_inference,[],[2,3]),
% 0.53/0.61     ['proof']).
% 0.53/0.61  % SZS output end Proof
% 0.53/0.61  % Total time :0.000000s
%------------------------------------------------------------------------------