TSTP Solution File: CAT011-2 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT011-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n022.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 18:13:44 EDT 2023
% Result : Unsatisfiable 120.56s 120.89s
% Output : CNFRefutation 120.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT011-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 00:56:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof:theBenchmark
% 120.56/120.87 %-------------------------------------------
% 120.56/120.87 % File :CSE---1.6
% 120.56/120.87 % Problem :theBenchmark
% 120.56/120.87 % Transform :cnf
% 120.56/120.87 % Format :tptp:raw
% 120.56/120.87 % Command :java -jar mcs_scs.jar %d %s
% 120.56/120.87
% 120.56/120.87 % Result :Theorem 120.020000s
% 120.56/120.87 % Output :CNFRefutation 120.020000s
% 120.56/120.87 %-------------------------------------------
% 120.56/120.89 %--------------------------------------------------------------------------
% 120.56/120.89 % File : CAT011-2 : TPTP v8.1.2. Released v1.0.0.
% 120.56/120.89 % Domain : Category Theory
% 120.56/120.89 % Problem : domain(domain(x)) = domain(x)
% 120.56/120.89 % Version : [Qua89] (equality) axioms.
% 120.56/120.89 % English :
% 120.56/120.89
% 120.56/120.89 % Refs : [Qua89] Quaife (1989), Email to L. Wos
% 120.56/120.89 % Source : [ANL]
% 120.56/120.89 % Names : p11.ver2.in [ANL]
% 120.56/120.89
% 120.56/120.89 % Status : Unsatisfiable
% 120.56/120.89 % 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
% 120.56/120.89 % Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 4 RR)
% 120.56/120.89 % Number of literals : 12 ( 12 equ; 5 neg)
% 120.56/120.89 % Maximal clause size : 3 ( 1 avg)
% 120.56/120.89 % Maximal term depth : 3 ( 2 avg)
% 120.56/120.89 % Number of predicates : 1 ( 0 usr; 0 prp; 2-2 aty)
% 120.56/120.89 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 120.56/120.89 % Number of variables : 11 ( 0 sgn)
% 120.56/120.89 % SPC : CNF_UNS_RFO_PEQ_NUE
% 120.56/120.89
% 120.56/120.89 % Comments :
% 120.56/120.89 %--------------------------------------------------------------------------
% 120.56/120.89 %----Include Quaife's axioms for category theory
% 120.56/120.89 include('Axioms/CAT002-0.ax').
% 120.56/120.89 %--------------------------------------------------------------------------
% 120.56/120.89 cnf(prove_domain_is_idempotent,negated_conjecture,
% 120.56/120.89 domain(domain(a)) != domain(a) ).
% 120.56/120.89
% 120.56/120.89 %--------------------------------------------------------------------------
% 120.56/120.89 %-------------------------------------------
% 120.56/120.89 % Proof found
% 120.56/120.89 % SZS status Theorem for theBenchmark
% 120.56/120.89 % SZS output start Proof
% 120.56/120.91 %ClaNum:15(EqnAxiom:7)
% 120.56/120.91 %VarNum:30(SingletonVarNum:11)
% 120.56/120.91 %MaxLitNum:3
% 120.56/120.91 %MaxfuncDepth:2
% 120.56/120.91 %SharedTerms:4
% 120.56/120.91 %goalClause: 12
% 120.56/120.91 %singleGoalClaCount:1
% 120.56/120.91 [12]~E(f3(f3(a2)),f3(a2))
% 120.56/120.91 [8]E(f3(f1(x81)),f1(x81))
% 120.56/120.91 [9]E(f1(f3(x91)),f3(x91))
% 120.56/120.91 [10]E(f4(x101,f1(x101)),x101)
% 120.56/120.91 [11]E(f4(f3(x111),x111),x111)
% 120.56/120.91 [13]~E(f1(x131),f3(x132))+E(f3(f4(x131,x132)),f3(x131))
% 120.56/120.91 [14]~E(f1(x141),f3(x142))+E(f1(f4(x141,x142)),f1(x142))
% 120.56/120.91 [15]~E(f1(x152),f3(x153))+~E(f1(x151),f3(x152))+E(f4(f4(x151,x152),x153),f4(x151,f4(x152,x153)))
% 120.56/120.91 %EqnAxiom
% 120.56/120.91 [1]E(x11,x11)
% 120.56/120.91 [2]E(x22,x21)+~E(x21,x22)
% 120.56/120.91 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 120.56/120.91 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 120.56/120.91 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 120.56/120.91 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 120.56/120.91 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 120.56/120.91
% 120.56/120.91 %-------------------------------------------
% 120.56/120.94 cnf(16,plain,
% 120.56/120.94 (E(x161,f4(x161,f1(x161)))),
% 120.56/120.94 inference(scs_inference,[],[10,2])).
% 120.56/120.94 cnf(17,plain,
% 120.56/120.94 (~E(f3(a2),a2)),
% 120.56/120.94 inference(scs_inference,[],[12,10,2,5])).
% 120.56/120.94 cnf(18,plain,
% 120.56/120.94 (~E(f3(f3(a2)),f4(f3(f3(a2)),f3(a2)))),
% 120.56/120.94 inference(scs_inference,[],[12,10,11,2,5,3])).
% 120.56/120.94 cnf(20,plain,
% 120.56/120.94 (E(f4(x201,f4(x202,f1(x202))),f4(x201,x202))),
% 120.56/120.94 inference(scs_inference,[],[12,10,11,2,5,3,7])).
% 120.56/120.94 cnf(27,plain,
% 120.56/120.94 (~E(f4(f3(a2),f1(f3(a2))),a2)),
% 120.56/120.94 inference(scs_inference,[],[12,11,16,17,5,2,3])).
% 120.56/120.94 cnf(29,plain,
% 120.56/120.94 (E(f1(x291),f3(f1(x291)))),
% 120.56/120.94 inference(scs_inference,[],[8,2])).
% 120.56/120.94 cnf(39,plain,
% 120.56/120.94 (E(f3(x391),f1(f3(x391)))),
% 120.56/120.94 inference(scs_inference,[],[9,2])).
% 120.56/120.94 cnf(46,plain,
% 120.56/120.94 (E(f4(f3(x461),f4(x461,f1(x461))),x461)),
% 120.56/120.94 inference(scs_inference,[],[11,20,27,2,3])).
% 120.56/120.94 cnf(56,plain,
% 120.56/120.94 (E(f4(f4(f3(x561),x561),x562),f4(x561,x562))),
% 120.56/120.94 inference(scs_inference,[],[11,46,2,6])).
% 120.56/120.94 cnf(67,plain,
% 120.56/120.94 (E(f4(x671,x672),f4(f4(f3(x671),x671),x672))),
% 120.56/120.94 inference(scs_inference,[],[56,2])).
% 120.56/120.94 cnf(97,plain,
% 120.56/120.94 (E(f3(x971),f3(f1(f3(x971))))),
% 120.56/120.94 inference(scs_inference,[],[29,39,3])).
% 120.56/120.94 cnf(129,plain,
% 120.56/120.94 (E(f1(f3(x1291)),f4(f3(f3(x1291)),f3(x1291)))),
% 120.56/120.94 inference(scs_inference,[],[39,11,3,2])).
% 120.56/120.94 cnf(164,plain,
% 120.56/120.94 (E(x1641,f4(f4(f3(x1641),x1641),f1(x1641)))),
% 120.56/120.94 inference(scs_inference,[],[67,16,3])).
% 120.56/120.94 cnf(169,plain,
% 120.56/120.94 (~E(f3(f3(a2)),f1(f3(a2)))),
% 120.56/120.94 inference(scs_inference,[],[164,129,18,2,3])).
% 120.56/120.94 cnf(560,plain,
% 120.56/120.94 (~E(f3(f3(f1(f3(a2)))),f1(f3(a2)))),
% 120.56/120.94 inference(scs_inference,[],[97,169,5,3])).
% 120.56/120.94 cnf(1775,plain,
% 120.56/120.94 (E(f1(x17751),f3(f3(f1(x17751))))),
% 120.56/120.94 inference(scs_inference,[],[29,5,3])).
% 120.56/120.94 cnf(1776,plain,
% 120.56/120.94 (E(f3(f3(f1(x17761))),f1(x17761))),
% 120.56/120.94 inference(scs_inference,[],[1775,2])).
% 120.56/120.94 cnf(1915,plain,
% 120.56/120.94 ($false),
% 120.56/120.94 inference(scs_inference,[],[1776,560]),
% 120.56/120.94 ['proof']).
% 120.65/120.94 % SZS output end Proof
% 120.65/120.94 % Total time :120.020000s
%------------------------------------------------------------------------------