TSTP Solution File: CAT013-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT013-1 : 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 : n029.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 0.19s 0.65s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 01:01:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % File :CSE---1.6
% 0.19/0.65 % Problem :theBenchmark
% 0.19/0.65 % Transform :cnf
% 0.19/0.65 % Format :tptp:raw
% 0.19/0.65 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.65
% 0.19/0.65 % Result :Theorem 0.020000s
% 0.19/0.65 % Output :CNFRefutation 0.020000s
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 % File : CAT013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.19/0.65 % Domain : Category Theory
% 0.19/0.65 % Problem : domain(codomain(x)) = codomain(x)
% 0.19/0.65 % Version : [Mit67] axioms.
% 0.19/0.65 % English :
% 0.19/0.65
% 0.19/0.65 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 0.19/0.65 % Source : [ANL]
% 0.19/0.65 % Names : p13.ver1.in [ANL]
% 0.19/0.65
% 0.19/0.65 % Status : Unsatisfiable
% 0.19/0.65 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v2.0.0
% 0.19/0.65 % Syntax : Number of clauses : 19 ( 7 unt; 0 nHn; 13 RR)
% 0.19/0.65 % Number of literals : 46 ( 2 equ; 28 neg)
% 0.19/0.65 % Maximal clause size : 4 ( 2 avg)
% 0.19/0.65 % Maximal term depth : 3 ( 1 avg)
% 0.19/0.65 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.19/0.65 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.19/0.65 % Number of variables : 52 ( 5 sgn)
% 0.19/0.65 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.19/0.65
% 0.19/0.65 % Comments :
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %----Include Mitchell's axioms for category theory
% 0.19/0.65 include('Axioms/CAT001-0.ax').
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 cnf(prove_domain_of_codomain_is_codomain,negated_conjecture,
% 0.19/0.65 domain(codomain(a)) != codomain(a) ).
% 0.19/0.65
% 0.19/0.65 %--------------------------------------------------------------------------
% 0.19/0.65 %-------------------------------------------
% 0.19/0.65 % Proof found
% 0.19/0.65 % SZS status Theorem for theBenchmark
% 0.19/0.65 % SZS output start Proof
% 0.19/0.65 %ClaNum:32(EqnAxiom:13)
% 0.19/0.65 %VarNum:108(SingletonVarNum:52)
% 0.19/0.65 %MaxLitNum:4
% 0.19/0.65 %MaxfuncDepth:2
% 0.19/0.65 %SharedTerms:4
% 0.19/0.65 %goalClause: 20
% 0.19/0.65 %singleGoalClaCount:1
% 0.19/0.65 [20]~E(f1(f2(a3)),f2(a3))
% 0.19/0.65 [14]P1(f1(x141))
% 0.19/0.65 [15]P1(f2(x151))
% 0.19/0.65 [16]P2(x161,f1(x161))
% 0.19/0.66 [17]P2(f2(x171),x171)
% 0.19/0.66 [18]P3(x181,f1(x181),x181)
% 0.19/0.66 [19]P3(f2(x191),x191,x191)
% 0.19/0.66 [25]~P2(x251,x252)+P3(x251,x252,f4(x251,x252))
% 0.19/0.66 [24]P2(x241,x242)+~P3(x241,x242,x243)
% 0.19/0.66 [22]~P1(x221)+~P2(x221,x222)+P3(x221,x222,x222)
% 0.19/0.66 [23]~P1(x232)+~P2(x231,x232)+P3(x231,x232,x231)
% 0.19/0.66 [26]P2(x261,x262)+~P3(x262,x264,x263)+~P2(x261,x263)
% 0.19/0.66 [27]P2(x271,x272)+~P3(x274,x271,x273)+~P2(x273,x272)
% 0.19/0.66 [28]~P3(x283,x284,x281)+E(x281,x282)+~P3(x283,x284,x282)
% 0.19/0.66 [21]~P2(x213,x212)+~P2(x211,x213)+P2(x211,x212)+~P1(x213)
% 0.19/0.66 [29]~P3(x295,x292,x294)+P2(x291,x292)+~P3(x293,x295,x291)+~P2(x293,x294)
% 0.19/0.66 [30]~P3(x301,x305,x303)+P2(x301,x302)+~P3(x305,x304,x302)+~P2(x303,x304)
% 0.19/0.66 [31]~P3(x316,x312,x315)+P3(x311,x312,x313)+~P3(x314,x315,x313)+~P3(x314,x316,x311)
% 0.19/0.66 [32]~P3(x321,x326,x324)+P3(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x326,x325,x322)
% 0.19/0.66 %EqnAxiom
% 0.19/0.66 [1]E(x11,x11)
% 0.19/0.66 [2]E(x22,x21)+~E(x21,x22)
% 0.19/0.66 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.19/0.66 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.19/0.66 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.19/0.66 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.19/0.66 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.19/0.66 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.19/0.66 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.19/0.66 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.19/0.66 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.19/0.66 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.19/0.66 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.19/0.66
% 0.19/0.66 %-------------------------------------------
% 0.19/0.66 cnf(33,plain,
% 0.19/0.66 (P2(f1(x331),f1(x331))),
% 0.19/0.66 inference(scs_inference,[],[18,16,27])).
% 0.19/0.66 cnf(34,plain,
% 0.19/0.66 (P2(x341,f1(x341))),
% 0.19/0.66 inference(rename_variables,[],[16])).
% 0.19/0.66 cnf(42,plain,
% 0.19/0.66 (E(f4(x421,f1(x421)),x421)),
% 0.19/0.66 inference(scs_inference,[],[20,18,19,16,34,14,27,26,2,25,8,28])).
% 0.19/0.66 cnf(64,plain,
% 0.19/0.66 (E(x641,f4(x641,f1(x641)))),
% 0.19/0.66 inference(scs_inference,[],[14,42,33,23,2])).
% 0.19/0.66 cnf(65,plain,
% 0.19/0.66 (~P3(f2(f2(a3)),f2(a3),f1(f2(a3)))),
% 0.19/0.66 inference(scs_inference,[],[20,19,14,42,33,23,2,28])).
% 0.19/0.66 cnf(68,plain,
% 0.19/0.66 (P3(f2(x681),f1(f2(x681)),f1(f2(x681)))),
% 0.19/0.66 inference(scs_inference,[],[20,19,16,15,14,42,33,23,2,28,22])).
% 0.19/0.66 cnf(95,plain,
% 0.19/0.66 ($false),
% 0.19/0.66 inference(scs_inference,[],[19,17,18,64,68,65,13,32]),
% 0.19/0.66 ['proof']).
% 0.19/0.66 % SZS output end Proof
% 0.19/0.66 % Total time :0.020000s
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