TSTP Solution File: SYN726+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n018.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 01:47:08 EDT 2023
% Result : Theorem 0.20s 0.70s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 20:42:45 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % File :CSE---1.6
% 0.20/0.70 % Problem :theBenchmark
% 0.20/0.70 % Transform :cnf
% 0.20/0.70 % Format :tptp:raw
% 0.20/0.70 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.70
% 0.20/0.70 % Result :Theorem 0.060000s
% 0.20/0.70 % Output :CNFRefutation 0.060000s
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 %--------------------------------------------------------------------------
% 0.20/0.70 % File : SYN726+1 : TPTP v8.1.2. Released v2.5.0.
% 0.20/0.70 % Domain : Syntactic
% 0.20/0.70 % Problem : Peter Andrews Problem THM400
% 0.20/0.70 % Version : Especial.
% 0.20/0.70 % English :
% 0.20/0.70
% 0.20/0.70 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe
% 0.20/0.70 % Source : [And97]
% 0.20/0.70 % Names : THM400 [And97]
% 0.20/0.70
% 0.20/0.70 % Status : Theorem
% 0.20/0.70 % Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0
% 0.20/0.70 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.20/0.70 % Number of atoms : 12 ( 0 equ)
% 0.20/0.70 % Maximal formula atoms : 12 ( 12 avg)
% 0.20/0.70 % Number of connectives : 11 ( 0 ~; 2 |; 5 &)
% 0.20/0.70 % ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% 0.20/0.70 % Maximal formula depth : 10 ( 10 avg)
% 0.20/0.70 % Maximal term depth : 1 ( 1 avg)
% 0.20/0.70 % Number of predicates : 2 ( 2 usr; 0 prp; 2-2 aty)
% 0.20/0.70 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.20/0.70 % Number of variables : 14 ( 14 !; 0 ?)
% 0.20/0.70 % SPC : FOF_THM_EPR_NEQ
% 0.20/0.70
% 0.20/0.70 % Comments :
% 0.20/0.70 %--------------------------------------------------------------------------
% 0.20/0.70 fof(thm400,conjecture,
% 0.20/0.70 ( ( ( ! [X,Y,Z] :
% 0.20/0.70 ( ( p(X,Y)
% 0.20/0.70 & p(Y,Z) )
% 0.20/0.70 => p(X,Z) )
% 0.20/0.70 & ! [X,Y,Z] :
% 0.20/0.70 ( ( q(X,Y)
% 0.20/0.70 & q(Y,Z) )
% 0.20/0.70 => q(X,Z) )
% 0.20/0.70 & ! [X,Y] :
% 0.20/0.70 ( q(X,Y)
% 0.20/0.70 => q(Y,X) )
% 0.20/0.70 & ! [X,Y] :
% 0.20/0.70 ( p(X,Y)
% 0.20/0.70 | q(X,Y) ) )
% 0.20/0.70 => ! [X,Y] : p(X,Y) )
% 0.20/0.70 | ! [X,Y] : q(X,Y) ) ).
% 0.20/0.70
% 0.20/0.70 %--------------------------------------------------------------------------
% 0.20/0.70 %-------------------------------------------
% 0.20/0.70 % Proof found
% 0.20/0.70 % SZS status Theorem for theBenchmark
% 0.20/0.70 % SZS output start Proof
% 0.20/0.70 %ClaNum:7(EqnAxiom:0)
% 0.20/0.70 %VarNum:20(SingletonVarNum:10)
% 0.20/0.70 %MaxLitNum:4
% 0.20/0.70 %MaxfuncDepth:0
% 0.20/0.70 %SharedTerms:9
% 0.20/0.70 %goalClause: 1 2 3
% 0.20/0.70 %singleGoalClaCount:3
% 0.20/0.70 [1]P1(a500)
% 0.20/0.70 [2]~P2(a1,a2)
% 0.20/0.70 [3]~P3(a3,a4)
% 0.20/0.71 [4]P3(x41,x42)+P2(x41,x42)+~P1(a500)
% 0.20/0.71 [5]~P3(x52,x51)+P3(x51,x52)+~P1(a500)
% 0.20/0.71 [6]~P2(x61,x63)+P2(x61,x62)+~P2(x63,x62)+~P1(a500)
% 0.20/0.71 [7]~P3(x71,x73)+P3(x71,x72)+~P3(x73,x72)+~P1(a500)
% 0.20/0.71 %EqnAxiom
% 0.20/0.71
% 0.20/0.71 %-------------------------------------------
% 0.20/0.71 cnf(8,plain,
% 0.20/0.71 (~P3(a4,a3)),
% 0.20/0.71 inference(scs_inference,[],[1,3,5])).
% 0.20/0.71 cnf(9,plain,
% 0.20/0.71 (P3(a1,a2)),
% 0.20/0.71 inference(scs_inference,[],[1,2,3,5,4])).
% 0.20/0.71 cnf(10,plain,
% 0.20/0.71 (~P3(x101,a1)+P3(x101,a2)),
% 0.20/0.71 inference(scs_inference,[],[1,2,3,5,4,7])).
% 0.20/0.71 cnf(11,plain,
% 0.20/0.71 (P2(x111,x112)+P3(x111,x112)),
% 0.20/0.71 inference(scs_inference,[],[1,4])).
% 0.20/0.71 cnf(12,plain,
% 0.20/0.71 (P3(x121,x122)+~P3(x122,x121)),
% 0.20/0.71 inference(scs_inference,[],[1,5])).
% 0.20/0.71 cnf(13,plain,
% 0.20/0.71 (~P2(x131,x132)+~P2(x133,x131)+P2(x133,x132)),
% 0.20/0.71 inference(scs_inference,[],[1,6])).
% 0.20/0.71 cnf(14,plain,
% 0.20/0.71 (~P3(x141,x142)+~P3(x143,x141)+P3(x143,x142)),
% 0.20/0.71 inference(scs_inference,[],[1,7])).
% 0.20/0.71 cnf(23,plain,
% 0.20/0.71 (P2(x231,a4)+~P2(x231,a3)),
% 0.20/0.71 inference(scs_inference,[],[3,9,12,11,10,14,13])).
% 0.20/0.71 cnf(25,plain,
% 0.20/0.71 (~P3(x251,a3)+~P3(a4,x251)),
% 0.20/0.71 inference(scs_inference,[],[8,14])).
% 0.20/0.71 cnf(33,plain,
% 0.20/0.71 (~P2(x331,a2)+~P2(a1,x331)),
% 0.20/0.71 inference(scs_inference,[],[2,13])).
% 0.20/0.71 cnf(35,plain,
% 0.20/0.71 (P3(x351,a2)+~P2(a1,x351)),
% 0.20/0.71 inference(scs_inference,[],[2,13,11])).
% 0.20/0.71 cnf(37,plain,
% 0.20/0.71 (P3(a2,x371)+~P2(a1,x371)),
% 0.20/0.71 inference(scs_inference,[],[2,13,11,12])).
% 0.20/0.71 cnf(45,plain,
% 0.20/0.71 (~P3(a4,x451)+~P3(a3,x451)),
% 0.20/0.71 inference(scs_inference,[],[3,14,12])).
% 0.20/0.71 cnf(47,plain,
% 0.20/0.71 (P2(x471,a4)+~P3(a3,x471)),
% 0.20/0.71 inference(scs_inference,[],[3,14,12,11])).
% 0.20/0.71 cnf(51,plain,
% 0.20/0.71 (~P2(a1,a3)+~P2(a4,a2)),
% 0.20/0.71 inference(scs_inference,[],[23,33])).
% 0.20/0.71 cnf(52,plain,
% 0.20/0.71 (P2(a4,x521)+~P3(x521,a3)),
% 0.20/0.71 inference(scs_inference,[],[25,11])).
% 0.20/0.71 cnf(57,plain,
% 0.20/0.71 (~P3(a3,a1)+P3(a4,a2)),
% 0.20/0.71 inference(scs_inference,[],[35,47])).
% 0.20/0.71 cnf(59,plain,
% 0.20/0.71 (~P3(a4,a2)+~P3(a3,a1)),
% 0.20/0.71 inference(scs_inference,[],[45,10])).
% 0.20/0.71 cnf(61,plain,
% 0.20/0.71 (~P2(a1,a3)+~P3(a2,a3)),
% 0.20/0.71 inference(scs_inference,[],[51,52])).
% 0.20/0.71 cnf(64,plain,
% 0.20/0.71 (~P3(a1,a3)+P3(a4,a2)),
% 0.20/0.71 inference(scs_inference,[],[57,12])).
% 0.20/0.71 cnf(66,plain,
% 0.20/0.71 (~P3(a1,a3)+~P3(a4,a2)),
% 0.20/0.71 inference(scs_inference,[],[59,12])).
% 0.20/0.71 cnf(68,plain,
% 0.20/0.71 (~P2(a1,a3)),
% 0.20/0.71 inference(scs_inference,[],[61,37])).
% 0.20/0.71 cnf(72,plain,
% 0.20/0.71 ($false),
% 0.20/0.71 inference(scs_inference,[],[68,11,66,64]),
% 0.20/0.71 ['proof']).
% 0.20/0.71 % SZS output end Proof
% 0.20/0.71 % Total time :0.060000s
%------------------------------------------------------------------------------