TSTP Solution File: SYN327+1 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d

% Computer : n016.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 : Fri Sep  1 01:45:12 EDT 2023

% Result   : Theorem 0.21s 0.63s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34  % Computer : n016.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   : Sat Aug 26 21:22:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 0.21/0.62  %-------------------------------------------
% 0.21/0.62  % File        :CSE---1.6
% 0.21/0.62  % Problem     :theBenchmark
% 0.21/0.62  % Transform   :cnf
% 0.21/0.62  % Format      :tptp:raw
% 0.21/0.62  % Command     :java -jar mcs_scs.jar %d %s
% 0.21/0.62  
% 0.21/0.62  % Result      :Theorem 0.000000s
% 0.21/0.62  % Output      :CNFRefutation 0.000000s
% 0.21/0.62  %-------------------------------------------
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  % File     : SYN327+1 : TPTP v8.1.2. Released v2.0.0.
% 0.21/0.63  % Domain   : Syntactic
% 0.21/0.63  % Problem  : Church problem 46.12 (2)
% 0.21/0.63  % Version  : Especial.
% 0.21/0.63  % English  :
% 0.21/0.63  
% 0.21/0.63  % Refs     : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.21/0.63  % Source   : [Chu56]
% 0.21/0.63  % Names    : 46.12 (2) [Chu56]
% 0.21/0.63  
% 0.21/0.63  % Status   : Theorem
% 0.21/0.63  % Rating   : 0.00 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.11 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
% 0.21/0.63  % Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
% 0.21/0.63  %            Number of atoms       :    7 (   0 equ)
% 0.21/0.63  %            Maximal formula atoms :    7 (   7 avg)
% 0.21/0.63  %            Number of connectives :    7 (   1   ~;   0   |;   2   &)
% 0.21/0.63  %                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
% 0.21/0.63  %            Maximal formula depth :    9 (   9 avg)
% 0.21/0.63  %            Maximal term depth    :    1 (   1 avg)
% 0.21/0.63  %            Number of predicates  :    1 (   1 usr;   0 prp; 2-2 aty)
% 0.21/0.63  %            Number of functors    :    0 (   0 usr;   0 con; --- aty)
% 0.21/0.63  %            Number of variables   :    3 (   2   !;   1   ?)
% 0.21/0.63  % SPC      : FOF_THM_RFO_NEQ
% 0.21/0.63  
% 0.21/0.63  % Comments :
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  fof(church_46_12_2,conjecture,
% 0.21/0.63      ! [X] :
% 0.21/0.63      ? [Y] :
% 0.21/0.63      ! [Z] :
% 0.21/0.63        ( big_f(Y,X)
% 0.21/0.63       => ( ( big_f(X,Z)
% 0.21/0.63           => big_f(X,Y) )
% 0.21/0.63          & ( big_f(X,Y)
% 0.21/0.63           => ( ~ big_f(X,Z)
% 0.21/0.63             => ( big_f(Y,X)
% 0.21/0.63                & big_f(Z,Y) ) ) ) ) ) ).
% 0.21/0.63  
% 0.21/0.63  %--------------------------------------------------------------------------
% 0.21/0.63  %-------------------------------------------
% 0.21/0.63  % Proof found
% 0.21/0.63  % SZS status Theorem for theBenchmark
% 0.21/0.63  % SZS output start Proof
% 0.21/0.63  %ClaNum:5(EqnAxiom:0)
% 0.21/0.63  %VarNum:13(SingletonVarNum:5)
% 0.21/0.63  %MaxLitNum:3
% 0.21/0.63  %MaxfuncDepth:1
% 0.21/0.63  %SharedTerms:1
% 0.21/0.63  %goalClause: 1 2 3 4 5
% 0.21/0.63  %singleGoalClaCount:1
% 0.21/0.63  [1]P1(x11,a1)
% 0.21/0.63  [2]P1(a1,x21)+P1(a1,f2(x21))
% 0.21/0.63  [3]~P1(a1,x31)+~P1(a1,f2(x31))
% 0.21/0.63  [4]~P1(x41,a1)+~P1(f2(x41),x41)+P1(a1,f2(x41))
% 0.21/0.63  [5]~P1(a1,x51)+~P1(f2(x51),x51)+~P1(x51,a1)
% 0.21/0.63  %EqnAxiom
% 0.21/0.63  
% 0.21/0.63  %-------------------------------------------
% 0.21/0.63  cnf(7,plain,
% 0.21/0.63     (P1(x71,a1)),
% 0.21/0.63     inference(rename_variables,[],[1])).
% 0.21/0.63  cnf(11,plain,
% 0.21/0.63     ($false),
% 0.21/0.63     inference(scs_inference,[],[1,7,5,3,2]),
% 0.21/0.63     ['proof']).
% 0.21/0.63  % SZS output end Proof
% 0.21/0.63  % Total time :0.000000s
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