%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT012-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 04:40:14 EDT 2024
% Result : Unsatisfiable 0.50s 0.67s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT012-3 : TPTP v8.2.0. Released v1.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n012.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jun 18 12:00:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.45/0.56 start to proof:theBenchmark
% 0.50/0.66 %-------------------------------------------
% 0.50/0.66 % File :CSE---1.7
% 0.50/0.66 % Problem :theBenchmark
% 0.50/0.66 % Transform :cnf
% 0.50/0.66 % Format :tptp:raw
% 0.50/0.66 % Command :java -jar mcs_scs.jar %d %s
% 0.50/0.66
% 0.50/0.66 % Result :Theorem 0.050000s
% 0.50/0.66 % Output :CNFRefutation 0.050000s
% 0.50/0.66 %-------------------------------------------
% 0.50/0.67 %--------------------------------------------------------------------------
% 0.50/0.67 % File : CAT012-3 : TPTP v8.2.0. Released v1.0.0.
% 0.50/0.67 % Domain : Category Theory
% 0.50/0.67 % Problem : codomain(domain(x)) = domain(x)
% 0.50/0.67 % Version : [Sco79] axioms : Reduced > Complete.
% 0.50/0.67 % English :
% 0.50/0.67
% 0.50/0.67 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.50/0.67 % Source : [ANL]
% 0.50/0.67 % Names : p12.ver3.in [ANL]
% 0.50/0.67
% 0.50/0.67 % Status : Unsatisfiable
% 0.50/0.67 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.20 v5.4.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.18 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v4.0.0, 0.09 v3.7.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.3.0, 0.11 v2.2.1, 0.11 v2.2.0, 0.11 v2.1.0, 0.00 v2.0.0
% 0.50/0.67 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 0.50/0.67 % Number of literals : 39 ( 16 equ; 18 neg)
% 0.50/0.67 % Maximal clause size : 4 ( 2 avg)
% 0.50/0.67 % Maximal term depth : 3 ( 1 avg)
% 0.50/0.67 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.50/0.67 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.50/0.67 % Number of variables : 31 ( 4 sgn)
% 0.50/0.67 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.50/0.67
% 0.50/0.67 % Comments : Axioms simplified by Art Quaife.
% 0.50/0.67 %--------------------------------------------------------------------------
% 0.50/0.67 %----Include Scott's axioms for category theory
% 0.50/0.67 include('Axioms/CAT003-0.ax').
% 0.50/0.67 %--------------------------------------------------------------------------
% 0.50/0.67 cnf(assume_domain_exists,hypothesis,
% 0.50/0.67 there_exists(domain(a)) ).
% 0.50/0.67
% 0.50/0.67 cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
% 0.50/0.67 codomain(domain(a)) != domain(a) ).
% 0.50/0.67
% 0.50/0.67 %--------------------------------------------------------------------------
% 0.50/0.67 %-------------------------------------------
% 0.50/0.67 % Proof found
% 0.50/0.67 % SZS status Theorem for theBenchmark
% 0.50/0.67 % SZS output start Proof
% 0.50/0.67 %ClaNum:30(EqnAxiom:12)
% 0.50/0.67 %VarNum:58(SingletonVarNum:27)
% 0.50/0.67 %MaxLitNum:3
% 0.50/0.67 %MaxfuncDepth:2
% 0.50/0.67 %SharedTerms:5
% 0.50/0.67 %goalClause: 17
% 0.50/0.67 %singleGoalClaCount:1
% 0.50/0.67 [13]P1(f2(a1))
% 0.50/0.67 [17]~E(f4(f2(a1)),f2(a1))
% 0.50/0.67 [14]E(f3(x141,f2(x141)),x141)
% 0.50/0.67 [15]E(f3(f4(x151),x151),x151)
% 0.50/0.67 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 0.50/0.67 [18]P1(x181)+~P1(f2(x181))
% 0.50/0.67 [19]P1(x191)+~P1(f4(x191))
% 0.50/0.67 [20]~P2(x201,x202)+E(x201,x202)
% 0.50/0.67 [22]P1(x221)+~P2(x222,x221)
% 0.50/0.67 [23]P1(x231)+~P2(x231,x232)
% 0.50/0.67 [25]E(x251,x252)+P1(f5(x251,x252))
% 0.50/0.67 [27]E(f4(x271),f2(x272))+~P1(f3(x272,x271))
% 0.50/0.67 [28]P1(f2(x281))+~P1(f3(x281,x282))
% 0.50/0.67 [29]P1(f4(x291))+~P1(f3(x291,x292))
% 0.50/0.67 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 0.50/0.67 [26]E(x261,x262)+E(f5(x261,x262),x262)+E(f5(x261,x262),x261)
% 0.50/0.67 [30]~E(f4(x302),f2(x301))+~P1(f2(x301))+P1(f3(x301,x302))
% 0.50/0.67 %EqnAxiom
% 0.50/0.67 [1]E(x11,x11)
% 0.50/0.67 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.67 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.67 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.50/0.67 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.50/0.67 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.50/0.67 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.50/0.67 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.50/0.67 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.50/0.67 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.50/0.67 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.50/0.67 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.50/0.67
% 0.50/0.67 %-------------------------------------------
% 0.50/0.68 cnf(34,plain,
% 0.50/0.68 (E(x341,f3(x341,f2(x341)))),
% 0.50/0.68 inference(scs_inference,[],[17,14,20,2])).
% 0.50/0.68 cnf(35,plain,
% 0.50/0.68 (P1(a1)),
% 0.50/0.68 inference(scs_inference,[],[17,14,13,20,2,18])).
% 0.50/0.68 cnf(37,plain,
% 0.50/0.68 (P2(f2(a1),f3(f2(a1),f2(f2(a1))))),
% 0.50/0.68 inference(scs_inference,[],[17,14,13,20,2,18,21])).
% 0.50/0.68 cnf(39,plain,
% 0.50/0.68 (~E(f4(f2(a1)),f3(f4(f2(a1)),f2(a1)))),
% 0.50/0.68 inference(scs_inference,[],[17,14,15,13,20,2,18,21,3])).
% 0.50/0.68 cnf(44,plain,
% 0.50/0.68 (~E(f2(a1),f4(f2(a1)))),
% 0.50/0.68 inference(scs_inference,[],[17,14,15,13,20,2,18,21,3,10,12,11])).
% 0.50/0.68 cnf(47,plain,
% 0.50/0.68 (E(f3(x471,f3(x472,x473)),f3(f3(x471,x472),x473))),
% 0.50/0.68 inference(scs_inference,[],[39,16,20,2])).
% 0.50/0.68 cnf(48,plain,
% 0.50/0.68 (P2(a1,f3(a1,f2(a1)))),
% 0.50/0.68 inference(scs_inference,[],[34,39,35,16,20,2,21])).
% 0.50/0.68 cnf(49,plain,
% 0.50/0.68 (E(x491,f3(x491,f2(x491)))),
% 0.50/0.68 inference(rename_variables,[],[34])).
% 0.50/0.68 cnf(53,plain,
% 0.50/0.68 (~P1(f3(f3(x531,x532),x533))+P1(f3(x531,f3(x532,x533)))),
% 0.50/0.68 inference(scs_inference,[],[34,49,39,35,16,20,2,21,11,10])).
% 0.50/0.68 cnf(54,plain,
% 0.50/0.68 (~P2(x541,f3(f3(x542,x543),x544))+P1(f3(x542,f3(x543,x544)))),
% 0.50/0.68 inference(scs_inference,[],[34,49,39,35,16,20,2,21,11,10,22])).
% 0.50/0.68 cnf(56,plain,
% 0.50/0.68 (~P2(f3(f3(x561,x562),x563),x564)+P1(f3(x561,f3(x562,x563)))),
% 0.50/0.68 inference(scs_inference,[],[34,49,39,35,16,20,2,21,11,10,22,23])).
% 0.50/0.68 cnf(62,plain,
% 0.50/0.68 (E(x621,f3(f4(x621),x621))),
% 0.50/0.68 inference(scs_inference,[],[15,44,20,2])).
% 0.50/0.68 cnf(65,plain,
% 0.50/0.68 (E(x651,f3(f4(x651),x651))),
% 0.50/0.68 inference(rename_variables,[],[62])).
% 0.50/0.68 cnf(69,plain,
% 0.50/0.68 (~P1(f3(x691,f3(x692,x693)))+P1(f3(f3(x691,x692),x693))),
% 0.50/0.68 inference(scs_inference,[],[62,65,47,48,35,21,11,10])).
% 0.50/0.68 cnf(71,plain,
% 0.50/0.68 (~P2(f3(x711,f3(x712,x713)),x714)+P1(f3(f3(x711,x712),x713))),
% 0.50/0.68 inference(scs_inference,[],[62,65,47,48,35,21,11,10,53,23])).
% 0.50/0.68 cnf(73,plain,
% 0.50/0.68 (~P2(x731,f3(x732,f3(x733,x734)))+P1(f3(f3(x732,x733),x734))),
% 0.50/0.68 inference(scs_inference,[],[62,65,47,48,35,21,11,10,53,23,22])).
% 0.50/0.68 cnf(80,plain,
% 0.50/0.68 (~P1(f4(f3(a1,f2(a1))))),
% 0.50/0.68 inference(scs_inference,[],[17,19,27])).
% 0.50/0.68 cnf(97,plain,
% 0.50/0.68 (~P2(x971,f3(f3(a1,f2(a1)),x972))),
% 0.50/0.68 inference(scs_inference,[],[13,37,80,35,29,69,71,73,23,22,30,21,11,54])).
% 0.50/0.68 cnf(103,plain,
% 0.50/0.68 (~E(a1,f3(f3(a1,f2(a1)),x1031))),
% 0.50/0.68 inference(scs_inference,[],[13,37,16,80,35,29,69,71,73,23,22,30,21,11,54,56,20,3])).
% 0.50/0.68 cnf(107,plain,
% 0.50/0.68 (E(x1071,f3(x1071,f2(x1071)))),
% 0.50/0.68 inference(rename_variables,[],[34])).
% 0.50/0.68 cnf(109,plain,
% 0.50/0.68 ($false),
% 0.50/0.68 inference(scs_inference,[],[34,107,103,48,97,3,12]),
% 0.50/0.68 ['proof']).
% 0.50/0.68 % SZS output end Proof
% 0.50/0.68 % Total time :0.050000s
%------------------------------------------------------------------------------