TSTP Solution File: CAT014-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed Aug 30 18:13:46 EDT 2023
% Result : Unsatisfiable 128.92s 128.94s
% Output : CNFRefutation 128.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32 % Computer : n016.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun Aug 27 00:36:12 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 128.84/128.92 %-------------------------------------------
% 128.84/128.92 % File :CSE---1.6
% 128.84/128.92 % Problem :theBenchmark
% 128.84/128.92 % Transform :cnf
% 128.84/128.92 % Format :tptp:raw
% 128.84/128.92 % Command :java -jar mcs_scs.jar %d %s
% 128.84/128.92
% 128.84/128.92 % Result :Theorem 128.330000s
% 128.84/128.92 % Output :CNFRefutation 128.330000s
% 128.84/128.92 %-------------------------------------------
% 128.92/128.94 %--------------------------------------------------------------------------
% 128.92/128.94 % File : CAT014-2 : TPTP v8.1.2. Released v1.0.0.
% 128.92/128.94 % Domain : Category Theory
% 128.92/128.94 % Problem : codomain(codomain(x)) = codomain(x)
% 128.92/128.94 % Version : [Qua89] (equality) axioms.
% 128.92/128.94 % English :
% 128.92/128.94
% 128.92/128.94 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 128.92/128.94 % Source : [ANL]
% 128.92/128.94 % Names : p14.ver2.in [ANL]
% 128.92/128.94
% 128.92/128.94 % Status : Unsatisfiable
% 128.92/128.94 % Rating : 0.00 v6.2.0, 0.10 v6.1.0, 0.09 v6.0.0, 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0
% 128.92/128.94 % Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% 128.92/128.94 % Number of literals : 12 ( 12 equ; 5 neg)
% 128.92/128.94 % Maximal clause size : 3 ( 1 avg)
% 128.92/128.94 % Maximal term depth : 3 ( 2 avg)
% 128.92/128.94 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 128.92/128.94 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 128.92/128.94 % Number of variables : 11 ( 0 sgn)
% 128.92/128.94 % SPC : CNF_UNS_RFO_PEQ_NUE
% 128.92/128.94
% 128.92/128.94 % Comments :
% 128.92/128.94 %--------------------------------------------------------------------------
% 128.92/128.94 %----Include Quaife's axioms for category theory
% 128.92/128.94 include('Axioms/CAT002-0.ax').
% 128.92/128.94 %--------------------------------------------------------------------------
% 128.92/128.94 cnf(prove_codomain_is_idempotent,negated_conjecture,
% 128.92/128.94 codomain(codomain(a)) != codomain(a) ).
% 128.92/128.94
% 128.92/128.94 %--------------------------------------------------------------------------
% 128.92/128.94 %-------------------------------------------
% 128.92/128.94 % Proof found
% 128.92/128.94 % SZS status Theorem for theBenchmark
% 128.92/128.94 % SZS output start Proof
% 128.92/128.95 %ClaNum:15(EqnAxiom:7)
% 128.92/128.95 %VarNum:30(SingletonVarNum:11)
% 128.92/128.95 %MaxLitNum:3
% 128.92/128.95 %MaxfuncDepth:2
% 128.92/128.95 %SharedTerms:4
% 128.92/128.95 %goalClause: 12
% 128.92/128.95 %singleGoalClaCount:1
% 128.92/128.95 [12]~E(f1(f1(a2)),f1(a2))
% 128.92/128.95 [8]E(f3(f1(x81)),f1(x81))
% 128.92/128.95 [9]E(f1(f3(x91)),f3(x91))
% 128.92/128.95 [10]E(f4(x101,f1(x101)),x101)
% 128.92/128.95 [11]E(f4(f3(x111),x111),x111)
% 128.92/128.95 [13]~E(f1(x131),f3(x132))+E(f3(f4(x131,x132)),f3(x131))
% 128.92/128.95 [14]~E(f1(x141),f3(x142))+E(f1(f4(x141,x142)),f1(x142))
% 128.92/128.95 [15]~E(f1(x152),f3(x153))+~E(f1(x151),f3(x152))+E(f4(f4(x151,x152),x153),f4(x151,f4(x152,x153)))
% 128.92/128.95 %EqnAxiom
% 128.92/128.95 [1]E(x11,x11)
% 128.92/128.95 [2]E(x22,x21)+~E(x21,x22)
% 128.92/128.95 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 128.92/128.95 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 128.92/128.95 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 128.92/128.95 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 128.92/128.95 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 128.92/128.95
% 128.92/128.95 %-------------------------------------------
% 128.92/128.97 cnf(22,plain,
% 128.92/128.97 (E(f3(f4(x221,f1(x221))),f3(x221))),
% 128.92/128.97 inference(scs_inference,[],[12,10,11,2,4,3,7,6,5])).
% 128.92/128.97 cnf(26,plain,
% 128.92/128.97 (E(f1(f4(x261,f1(x261))),f1(x261))),
% 128.92/128.97 inference(scs_inference,[],[12,10,2,4])).
% 128.92/128.97 cnf(29,plain,
% 128.92/128.97 (E(f1(x291),f3(f1(x291)))),
% 128.92/128.97 inference(scs_inference,[],[8,2])).
% 128.92/128.97 cnf(238,plain,
% 128.92/128.97 (E(f1(f1(x2381)),f1(f4(x2381,f1(x2381))))),
% 128.92/128.97 inference(scs_inference,[],[29,2,14])).
% 128.92/128.97 cnf(934,plain,
% 128.92/128.97 (E(f3(f4(f4(x9341,f1(x9341)),f1(f4(x9341,f1(x9341))))),f3(x9341))),
% 128.92/128.97 inference(scs_inference,[],[29,22,13,3])).
% 128.92/128.97 cnf(1833,plain,
% 128.92/128.97 ($false),
% 128.92/128.97 inference(scs_inference,[],[238,12,934,26,2,3]),
% 128.92/128.97 ['proof']).
% 128.92/128.97 % SZS output end Proof
% 128.92/128.97 % Total time :128.330000s
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