TSTP Solution File: CAT012-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT012-3 : 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 : n023.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 18:13:45 EDT 2023
% Result : Unsatisfiable 0.55s 0.63s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 00:23:56 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.55/0.62 %-------------------------------------------
% 0.55/0.62 % File :CSE---1.6
% 0.55/0.62 % Problem :theBenchmark
% 0.55/0.62 % Transform :cnf
% 0.55/0.62 % Format :tptp:raw
% 0.55/0.62 % Command :java -jar mcs_scs.jar %d %s
% 0.55/0.62
% 0.55/0.62 % Result :Theorem 0.010000s
% 0.55/0.62 % Output :CNFRefutation 0.010000s
% 0.55/0.62 %-------------------------------------------
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 % File : CAT012-3 : TPTP v8.1.2. Released v1.0.0.
% 0.55/0.63 % Domain : Category Theory
% 0.55/0.63 % Problem : codomain(domain(x)) = domain(x)
% 0.55/0.63 % Version : [Sco79] axioms : Reduced > Complete.
% 0.55/0.63 % English :
% 0.55/0.63
% 0.55/0.63 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.55/0.63 % Source : [ANL]
% 0.55/0.63 % Names : p12.ver3.in [ANL]
% 0.55/0.63
% 0.55/0.63 % Status : Unsatisfiable
% 0.55/0.63 % 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
% 0.55/0.63 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 0.55/0.63 % Number of literals : 39 ( 16 equ; 18 neg)
% 0.55/0.63 % Maximal clause size : 4 ( 2 avg)
% 0.55/0.63 % Maximal term depth : 3 ( 1 avg)
% 0.55/0.63 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.55/0.63 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.55/0.63 % Number of variables : 31 ( 4 sgn)
% 0.55/0.63 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.55/0.63
% 0.55/0.63 % Comments : Axioms simplified by Art Quaife.
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 %----Include Scott's axioms for category theory
% 0.55/0.63 include('Axioms/CAT003-0.ax').
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 cnf(assume_domain_exists,hypothesis,
% 0.55/0.63 there_exists(domain(a)) ).
% 0.55/0.63
% 0.55/0.63 cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
% 0.55/0.63 codomain(domain(a)) != domain(a) ).
% 0.55/0.63
% 0.55/0.63 %--------------------------------------------------------------------------
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 % Proof found
% 0.55/0.63 % SZS status Theorem for theBenchmark
% 0.55/0.63 % SZS output start Proof
% 0.55/0.63 %ClaNum:30(EqnAxiom:12)
% 0.55/0.63 %VarNum:58(SingletonVarNum:27)
% 0.55/0.63 %MaxLitNum:3
% 0.55/0.63 %MaxfuncDepth:2
% 0.55/0.63 %SharedTerms:5
% 0.55/0.63 %goalClause: 17
% 0.55/0.63 %singleGoalClaCount:1
% 0.55/0.63 [13]P1(f2(a1))
% 0.55/0.63 [17]~E(f4(f2(a1)),f2(a1))
% 0.55/0.63 [14]E(f3(x141,f2(x141)),x141)
% 0.55/0.63 [15]E(f3(f4(x151),x151),x151)
% 0.55/0.63 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 0.55/0.63 [18]P1(x181)+~P1(f2(x181))
% 0.55/0.63 [19]P1(x191)+~P1(f4(x191))
% 0.55/0.63 [20]~P2(x201,x202)+E(x201,x202)
% 0.55/0.63 [22]P1(x221)+~P2(x222,x221)
% 0.55/0.63 [23]P1(x231)+~P2(x231,x232)
% 0.55/0.63 [25]E(x251,x252)+P1(f5(x251,x252))
% 0.55/0.63 [27]E(f4(x271),f2(x272))+~P1(f3(x272,x271))
% 0.55/0.63 [28]P1(f2(x281))+~P1(f3(x281,x282))
% 0.55/0.63 [29]P1(f4(x291))+~P1(f3(x291,x292))
% 0.55/0.63 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 0.55/0.63 [26]E(x261,x262)+E(f5(x261,x262),x262)+E(f5(x261,x262),x261)
% 0.55/0.63 [30]~E(f4(x302),f2(x301))+~P1(f2(x301))+P1(f3(x301,x302))
% 0.55/0.63 %EqnAxiom
% 0.55/0.63 [1]E(x11,x11)
% 0.55/0.63 [2]E(x22,x21)+~E(x21,x22)
% 0.55/0.63 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.55/0.63 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.55/0.63 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.55/0.63 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.55/0.63 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.55/0.63 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.55/0.63 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.55/0.63 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.55/0.63 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.55/0.63 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.55/0.63
% 0.55/0.63 %-------------------------------------------
% 0.55/0.63 cnf(31,plain,
% 0.55/0.63 (E(x311,f3(x311,f2(x311)))),
% 0.55/0.63 inference(scs_inference,[],[14,2])).
% 0.55/0.63 cnf(34,plain,
% 0.57/0.63 (P1(a1)),
% 0.57/0.63 inference(scs_inference,[],[17,13,14,2,20,18])).
% 0.57/0.63 cnf(38,plain,
% 0.57/0.63 (E(f3(f4(x381),x381),x381)),
% 0.57/0.64 inference(rename_variables,[],[15])).
% 0.57/0.64 cnf(53,plain,
% 0.57/0.64 (~P1(f3(a1,f2(a1)))),
% 0.57/0.64 inference(scs_inference,[],[17,13,14,15,38,2,20,18,10,3,21,9,8,7,6,5,4,29,28,25,27])).
% 0.57/0.64 cnf(66,plain,
% 0.57/0.64 (~P2(x661,f3(a1,f2(a1)))),
% 0.57/0.64 inference(scs_inference,[],[53,19,23,22])).
% 0.57/0.64 cnf(81,plain,
% 0.57/0.64 (E(x811,f3(x811,f2(x811)))),
% 0.57/0.64 inference(rename_variables,[],[31])).
% 0.57/0.64 cnf(83,plain,
% 0.57/0.64 ($false),
% 0.57/0.64 inference(scs_inference,[],[31,81,16,66,34,53,12,2,10]),
% 0.57/0.64 ['proof']).
% 0.57/0.64 % SZS output end Proof
% 0.57/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------