%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT014-2 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 04:40:15 EDT 2024
% Result : Unsatisfiable 11.66s 11.74s
% Output : CNFRefutation 11.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT014-2 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n026.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 : Tue Jun 18 11:58:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 11.66/11.73 %-------------------------------------------
% 11.66/11.73 % File :CSE---1.7
% 11.66/11.73 % Problem :theBenchmark
% 11.66/11.73 % Transform :cnf
% 11.66/11.73 % Format :tptp:raw
% 11.66/11.73 % Command :java -jar mcs_scs.jar %d %s
% 11.66/11.73
% 11.66/11.73 % Result :Theorem 11.130000s
% 11.66/11.73 % Output :CNFRefutation 11.130000s
% 11.66/11.73 %-------------------------------------------
% 11.66/11.74 %--------------------------------------------------------------------------
% 11.66/11.74 % File : CAT014-2 : TPTP v8.2.0. Released v1.0.0.
% 11.66/11.74 % Domain : Category Theory
% 11.66/11.74 % Problem : codomain(codomain(x)) = codomain(x)
% 11.66/11.74 % Version : [Qua89] (equality) axioms.
% 11.66/11.74 % English :
% 11.66/11.74
% 11.66/11.74 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 11.66/11.74 % Source : [ANL]
% 11.66/11.74 % Names : p14.ver2.in [ANL]
% 11.66/11.74
% 11.66/11.74 % Status : Unsatisfiable
% 11.66/11.74 % 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
% 11.66/11.74 % Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% 11.66/11.74 % Number of literals : 12 ( 12 equ; 5 neg)
% 11.66/11.74 % Maximal clause size : 3 ( 1 avg)
% 11.66/11.74 % Maximal term depth : 3 ( 2 avg)
% 11.66/11.74 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 11.66/11.74 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 11.66/11.74 % Number of variables : 11 ( 0 sgn)
% 11.66/11.74 % SPC : CNF_UNS_RFO_PEQ_NUE
% 11.66/11.74
% 11.66/11.74 % Comments :
% 11.66/11.74 %--------------------------------------------------------------------------
% 11.66/11.74 %----Include Quaife's axioms for category theory
% 11.66/11.74 include('Axioms/CAT002-0.ax').
% 11.66/11.74 %--------------------------------------------------------------------------
% 11.66/11.74 cnf(prove_codomain_is_idempotent,negated_conjecture,
% 11.66/11.74 codomain(codomain(a)) != codomain(a) ).
% 11.66/11.74
% 11.66/11.74 %--------------------------------------------------------------------------
% 11.66/11.74 %-------------------------------------------
% 11.66/11.74 % Proof found
% 11.66/11.74 % SZS status Theorem for theBenchmark
% 11.66/11.74 % SZS output start Proof
% 11.69/11.74 %ClaNum:15(EqnAxiom:7)
% 11.69/11.74 %VarNum:30(SingletonVarNum:11)
% 11.69/11.74 %MaxLitNum:3
% 11.69/11.74 %MaxfuncDepth:2
% 11.69/11.74 %SharedTerms:4
% 11.69/11.74 %goalClause: 12
% 11.69/11.74 %singleGoalClaCount:1
% 11.69/11.74 [12]~E(f1(f1(a2)),f1(a2))
% 11.69/11.74 [8]E(f3(f1(x81)),f1(x81))
% 11.69/11.74 [9]E(f1(f3(x91)),f3(x91))
% 11.69/11.74 [10]E(f4(x101,f1(x101)),x101)
% 11.69/11.74 [11]E(f4(f3(x111),x111),x111)
% 11.69/11.74 [13]~E(f1(x131),f3(x132))+E(f3(f4(x131,x132)),f3(x131))
% 11.69/11.74 [14]~E(f1(x141),f3(x142))+E(f1(f4(x141,x142)),f1(x142))
% 11.69/11.74 [15]~E(f1(x152),f3(x153))+~E(f1(x151),f3(x152))+E(f4(f4(x151,x152),x153),f4(x151,f4(x152,x153)))
% 11.69/11.74 %EqnAxiom
% 11.69/11.74 [1]E(x11,x11)
% 11.69/11.74 [2]E(x22,x21)+~E(x21,x22)
% 11.69/11.74 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 11.69/11.74 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 11.69/11.74 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 11.69/11.74 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 11.69/11.74 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 11.69/11.74
% 11.69/11.74 %-------------------------------------------
% 11.69/11.75 cnf(16,plain,
% 11.69/11.75 (E(x161,f4(x161,f1(x161)))),
% 11.69/11.75 inference(scs_inference,[],[10,2])).
% 11.69/11.75 cnf(20,plain,
% 11.69/11.75 (E(f1(x201),f3(f1(x201)))),
% 11.69/11.75 inference(scs_inference,[],[8,2])).
% 11.69/11.75 cnf(53,plain,
% 11.69/11.75 (E(f1(f4(x531,f1(x531))),f1(x531))),
% 11.69/11.75 inference(scs_inference,[],[16,2,4])).
% 11.69/11.75 cnf(54,plain,
% 11.69/11.75 (E(f1(x541),f1(f4(x541,f1(x541))))),
% 11.69/11.75 inference(scs_inference,[],[53,2])).
% 11.69/11.75 cnf(1066,plain,
% 11.69/11.75 (E(f1(x10661),f1(f1(x10661)))),
% 11.69/11.75 inference(scs_inference,[],[20,54,14,3])).
% 11.69/11.75 cnf(1067,plain,
% 11.69/11.75 ($false),
% 11.69/11.75 inference(scs_inference,[],[12,1066,2]),
% 11.69/11.75 ['proof']).
% 11.69/11.75 % SZS output end Proof
% 11.69/11.75 % Total time :11.130000s
%------------------------------------------------------------------------------