%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT011-2 : 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 : n007.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 04:40:13 EDT 2024
% Result : Unsatisfiable 67.97s 68.28s
% Output : CNFRefutation 68.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : CAT011-2 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n007.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jun 18 12:50:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.57 start to proof:theBenchmark
% 67.97/68.27 %-------------------------------------------
% 67.97/68.27 % File :CSE---1.7
% 67.97/68.27 % Problem :theBenchmark
% 67.97/68.27 % Transform :cnf
% 67.97/68.27 % Format :tptp:raw
% 67.97/68.27 % Command :java -jar mcs_scs.jar %d %s
% 67.97/68.27
% 67.97/68.27 % Result :Theorem 67.440000s
% 67.97/68.27 % Output :CNFRefutation 67.440000s
% 67.97/68.27 %-------------------------------------------
% 67.97/68.28 %--------------------------------------------------------------------------
% 67.97/68.28 % File : CAT011-2 : TPTP v8.2.0. Released v1.0.0.
% 67.97/68.28 % Domain : Category Theory
% 67.97/68.28 % Problem : domain(domain(x)) = domain(x)
% 67.97/68.28 % Version : [Qua89] (equality) axioms.
% 67.97/68.28 % English :
% 67.97/68.28
% 67.97/68.28 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 67.97/68.28 % Source : [ANL]
% 67.97/68.28 % Names : p11.ver2.in [ANL]
% 67.97/68.28
% 67.97/68.28 % Status : Unsatisfiable
% 67.97/68.28 % Rating : 0.00 v6.3.0, 0.10 v6.2.0, 0.20 v6.1.0, 0.09 v6.0.0, 0.00 v5.3.0, 0.10 v5.2.0, 0.00 v2.0.0
% 67.97/68.28 % Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% 67.97/68.28 % Number of literals : 12 ( 12 equ; 5 neg)
% 67.97/68.28 % Maximal clause size : 3 ( 1 avg)
% 67.97/68.28 % Maximal term depth : 3 ( 2 avg)
% 67.97/68.28 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 67.97/68.28 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 67.97/68.28 % Number of variables : 11 ( 0 sgn)
% 67.97/68.28 % SPC : CNF_UNS_RFO_PEQ_NUE
% 67.97/68.28
% 67.97/68.28 % Comments :
% 67.97/68.28 %--------------------------------------------------------------------------
% 67.97/68.28 %----Include Quaife's axioms for category theory
% 67.97/68.28 include('Axioms/CAT002-0.ax').
% 67.97/68.28 %--------------------------------------------------------------------------
% 67.97/68.28 cnf(prove_domain_is_idempotent,negated_conjecture,
% 67.97/68.28 domain(domain(a)) != domain(a) ).
% 67.97/68.28
% 67.97/68.28 %--------------------------------------------------------------------------
% 67.97/68.28 %-------------------------------------------
% 67.97/68.28 % Proof found
% 67.97/68.28 % SZS status Theorem for theBenchmark
% 67.97/68.28 % SZS output start Proof
% 68.03/68.29 %ClaNum:15(EqnAxiom:7)
% 68.03/68.29 %VarNum:30(SingletonVarNum:11)
% 68.03/68.29 %MaxLitNum:3
% 68.03/68.29 %MaxfuncDepth:2
% 68.03/68.29 %SharedTerms:4
% 68.03/68.29 %goalClause: 12
% 68.03/68.30 %singleGoalClaCount:1
% 68.03/68.30 [12]~E(f3(f3(a2)),f3(a2))
% 68.03/68.30 [8]E(f3(f1(x81)),f1(x81))
% 68.03/68.30 [9]E(f1(f3(x91)),f3(x91))
% 68.03/68.30 [10]E(f4(x101,f1(x101)),x101)
% 68.03/68.30 [11]E(f4(f3(x111),x111),x111)
% 68.03/68.30 [13]~E(f1(x131),f3(x132))+E(f3(f4(x131,x132)),f3(x131))
% 68.03/68.30 [14]~E(f1(x141),f3(x142))+E(f1(f4(x141,x142)),f1(x142))
% 68.03/68.30 [15]~E(f1(x152),f3(x153))+~E(f1(x151),f3(x152))+E(f4(f4(x151,x152),x153),f4(x151,f4(x152,x153)))
% 68.03/68.30 %EqnAxiom
% 68.03/68.30 [1]E(x11,x11)
% 68.03/68.30 [2]E(x22,x21)+~E(x21,x22)
% 68.03/68.30 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 68.03/68.30 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 68.03/68.30 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 68.03/68.30 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 68.03/68.30 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 68.03/68.30
% 68.03/68.30 %-------------------------------------------
% 68.03/68.31 cnf(16,plain,
% 68.03/68.31 (E(x161,f4(x161,f1(x161)))),
% 68.03/68.31 inference(scs_inference,[],[10,2])).
% 68.03/68.31 cnf(26,plain,
% 68.03/68.31 (E(x261,f4(f3(x261),x261))),
% 68.03/68.31 inference(scs_inference,[],[11,2])).
% 68.03/68.31 cnf(27,plain,
% 68.03/68.31 (E(f3(x271),f1(f3(x271)))),
% 68.03/68.31 inference(scs_inference,[],[9,2])).
% 68.03/68.31 cnf(34,plain,
% 68.03/68.31 (E(f1(f4(f3(x341),x341)),f1(x341))),
% 68.03/68.31 inference(scs_inference,[],[27,14,2])).
% 68.03/68.31 cnf(36,plain,
% 68.03/68.31 (E(f4(f3(x361),x361),f4(x361,f1(x361)))),
% 68.03/68.31 inference(scs_inference,[],[11,16,34,2,3])).
% 68.03/68.31 cnf(90,plain,
% 68.03/68.31 (E(f3(f4(f3(x901),x901)),f3(x901))),
% 68.03/68.31 inference(scs_inference,[],[26,2,5])).
% 68.03/68.31 cnf(91,plain,
% 68.03/68.31 (E(f3(x911),f3(f4(f3(x911),x911)))),
% 68.03/68.31 inference(scs_inference,[],[90,2])).
% 68.03/68.31 cnf(736,plain,
% 68.03/68.31 (~E(f1(x7361),f4(f3(x7362),f1(f3(x7362))))+E(f3(f4(x7361,x7362)),f3(x7361))),
% 68.03/68.31 inference(scs_inference,[],[10,13,3])).
% 68.03/68.31 cnf(765,plain,
% 68.03/68.31 (~E(f1(x7651),f4(f3(x7652),f1(f3(x7652))))+E(f3(f4(x7651,x7652)),f1(f3(x7651)))),
% 68.03/68.31 inference(scs_inference,[],[27,736,3])).
% 68.03/68.31 cnf(766,plain,
% 68.03/68.31 (~E(f1(x7661),f4(f3(x7662),f1(f3(x7662))))+E(f1(f3(x7661)),f3(f4(x7661,x7662)))),
% 68.03/68.31 inference(scs_inference,[],[765,2])).
% 68.03/68.31 cnf(891,plain,
% 68.03/68.31 (E(f1(f3(x8911)),f3(f4(x8911,x8912)))+~E(f1(x8911),f4(f3(f3(x8912)),f3(x8912)))),
% 68.03/68.31 inference(scs_inference,[],[36,766,3])).
% 68.03/68.31 cnf(991,plain,
% 68.03/68.31 (~E(f1(x9911),f4(f3(f3(x9912)),f3(x9912)))+E(f3(f4(x9911,x9912)),f1(f3(x9911)))),
% 68.03/68.31 inference(scs_inference,[],[891,2])).
% 68.03/68.31 cnf(1470,plain,
% 68.03/68.31 (~E(f3(a2),f1(f3(f3(a2))))),
% 68.03/68.31 inference(scs_inference,[],[12,27,3,2])).
% 68.03/68.31 cnf(1621,plain,
% 68.03/68.31 (~E(f1(f3(a2)),f4(f3(f3(a2)),f3(a2)))),
% 68.03/68.31 inference(scs_inference,[],[91,1470,991,3])).
% 68.03/68.31 cnf(1678,plain,
% 68.03/68.31 ($false),
% 68.03/68.31 inference(scs_inference,[],[1621,9,26,3]),
% 68.03/68.31 ['proof']).
% 68.03/68.31 % SZS output end Proof
% 68.03/68.31 % Total time :67.440000s
%------------------------------------------------------------------------------