TSTP Solution File: SYN356+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN356+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 : n032.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 01:45:24 EDT 2023
% Result : Theorem 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 20:33:59 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.49 start to proof:theBenchmark
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % File :CSE---1.6
% 0.14/0.53 % Problem :theBenchmark
% 0.14/0.53 % Transform :cnf
% 0.14/0.53 % Format :tptp:raw
% 0.14/0.53 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.53
% 0.14/0.53 % Result :Theorem 0.000000s
% 0.14/0.53 % Output :CNFRefutation 0.000000s
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 % File : SYN356+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.53 % Domain : Syntactic
% 0.14/0.53 % Problem : Peter Andrews Problem X2107
% 0.14/0.53 % Version : Especial.
% 0.14/0.53 % English :
% 0.14/0.53
% 0.14/0.53 % Refs : [And86] Andrews (1986), An Introduction to Mathematical Logic
% 0.14/0.53 % : [And94] Andrews (1994), Email to G. Sutcliffe
% 0.14/0.53 % Source : [And94]
% 0.14/0.53 % Names : X2107 [And86]
% 0.14/0.53
% 0.14/0.53 % Status : Theorem
% 0.14/0.53 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0
% 0.14/0.53 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.14/0.53 % Number of atoms : 8 ( 0 equ)
% 0.14/0.53 % Maximal formula atoms : 8 ( 8 avg)
% 0.14/0.53 % Number of connectives : 7 ( 0 ~; 0 |; 4 &)
% 0.14/0.53 % ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% 0.14/0.53 % Maximal formula depth : 8 ( 8 avg)
% 0.14/0.53 % Maximal term depth : 1 ( 1 avg)
% 0.14/0.53 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.14/0.53 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.14/0.53 % Number of variables : 4 ( 4 !; 0 ?)
% 0.14/0.53 % SPC : FOF_THM_EPR_NEQ
% 0.14/0.53
% 0.14/0.53 % Comments :
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 fof(x2107,conjecture,
% 0.14/0.53 ( ( big_r(a,b)
% 0.14/0.53 & ! [X,Y] :
% 0.14/0.53 ( big_r(X,Y)
% 0.14/0.53 => ( big_r(Y,X)
% 0.14/0.53 & big_q(X,Y) ) )
% 0.14/0.53 & ! [U,V] :
% 0.14/0.53 ( big_q(U,V)
% 0.14/0.53 => big_q(U,U) ) )
% 0.14/0.53 => ( big_q(a,a)
% 0.14/0.53 & big_q(b,b) ) ) ).
% 0.14/0.53
% 0.14/0.53 %--------------------------------------------------------------------------
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % Proof found
% 0.14/0.53 % SZS status Theorem for theBenchmark
% 0.14/0.53 % SZS output start Proof
% 0.14/0.53 %ClaNum:5(EqnAxiom:0)
% 0.14/0.53 %VarNum:12(SingletonVarNum:6)
% 0.14/0.53 %MaxLitNum:2
% 0.14/0.53 %MaxfuncDepth:0
% 0.14/0.53 %SharedTerms:5
% 0.14/0.53 %goalClause: 1 2 3 4 5
% 0.14/0.53 %singleGoalClaCount:1
% 0.14/0.53 [1]P1(a1,a2)
% 0.14/0.53 [2]~P2(a1,a1)+~P2(a2,a2)
% 0.14/0.53 [3]~P1(x32,x31)+P1(x31,x32)
% 0.14/0.53 [4]~P1(x41,x42)+P2(x41,x42)
% 0.14/0.53 [5]P2(x51,x51)+~P2(x51,x52)
% 0.14/0.53 %EqnAxiom
% 0.14/0.53
% 0.14/0.53 %-------------------------------------------
% 0.14/0.54 cnf(6,plain,
% 0.14/0.54 (P2(a1,a2)),
% 0.14/0.54 inference(scs_inference,[],[1,4])).
% 0.14/0.54 cnf(7,plain,
% 0.14/0.54 (P1(a2,a1)),
% 0.14/0.54 inference(scs_inference,[],[1,4,3])).
% 0.14/0.54 cnf(10,plain,
% 0.14/0.54 (~P2(a2,a2)),
% 0.14/0.54 inference(scs_inference,[],[6,5,2])).
% 0.14/0.54 cnf(15,plain,
% 0.14/0.54 ($false),
% 0.14/0.54 inference(scs_inference,[],[7,10,5,4]),
% 0.14/0.54 ['proof']).
% 0.14/0.54 % SZS output end Proof
% 0.14/0.54 % Total time :0.000000s
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