%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT008-1 : 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 : n025.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 04:40:12 EDT 2024
% Result : Unsatisfiable 58.53s 58.95s
% Output : CNFRefutation 58.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CAT008-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n025.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 12:29:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.54 start to proof:theBenchmark
% 58.50/58.94 %-------------------------------------------
% 58.50/58.94 % File :CSE---1.7
% 58.50/58.94 % Problem :theBenchmark
% 58.50/58.94 % Transform :cnf
% 58.50/58.94 % Format :tptp:raw
% 58.50/58.94 % Command :java -jar mcs_scs.jar %d %s
% 58.50/58.94
% 58.50/58.94 % Result :Theorem 58.010000s
% 58.50/58.94 % Output :CNFRefutation 58.010000s
% 58.50/58.94 %-------------------------------------------
% 58.53/58.95 %--------------------------------------------------------------------------
% 58.53/58.95 % File : CAT008-1 : TPTP v8.2.0. Released v1.0.0.
% 58.53/58.95 % Domain : Category Theory
% 58.53/58.95 % Problem : If xy is defined then domain(x) = codomain(y)
% 58.53/58.95 % Version : [Mit67] axioms.
% 58.53/58.95 % English :
% 58.53/58.95
% 58.53/58.95 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 58.53/58.95 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 58.53/58.95 % Source : [ANL]
% 58.53/58.95 % Names : C8 [MOW76]
% 58.53/58.95 % : p8.ver1.in [ANL]
% 58.53/58.95
% 58.53/58.95 % Status : Unsatisfiable
% 58.53/58.95 % Rating : 0.00 v6.0.0, 0.22 v5.5.0, 0.25 v5.4.0, 0.20 v5.3.0, 0.33 v5.2.0, 0.25 v5.1.0, 0.29 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.00 v2.0.0
% 58.53/58.95 % Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 14 RR)
% 58.53/58.95 % Number of literals : 47 ( 2 equ; 28 neg)
% 58.53/58.95 % Maximal clause size : 4 ( 2 avg)
% 58.53/58.95 % Maximal term depth : 2 ( 1 avg)
% 58.53/58.95 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 58.53/58.95 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 58.53/58.95 % Number of variables : 52 ( 5 sgn)
% 58.53/58.95 % SPC : CNF_UNS_RFO_SEQ_HRN
% 58.53/58.95
% 58.53/58.95 % Comments :
% 58.53/58.95 %--------------------------------------------------------------------------
% 58.53/58.95 %----Include Mitchell's axioms for category theory
% 58.53/58.95 include('Axioms/CAT001-0.ax').
% 58.53/58.95 %--------------------------------------------------------------------------
% 58.53/58.95 cnf(ab_defined,hypothesis,
% 58.53/58.95 defined(a,b) ).
% 58.53/58.95
% 58.53/58.95 cnf(prove_domain_of_a_equals_codomain_of_b,negated_conjecture,
% 58.53/58.95 domain(a) != codomain(b) ).
% 58.53/58.95
% 58.53/58.95 %--------------------------------------------------------------------------
% 58.53/58.95 %-------------------------------------------
% 58.53/58.95 % Proof found
% 58.53/58.95 % SZS status Theorem for theBenchmark
% 58.53/58.95 % SZS output start Proof
% 58.53/58.96 %ClaNum:33(EqnAxiom:13)
% 58.53/58.96 %VarNum:108(SingletonVarNum:52)
% 58.53/58.96 %MaxLitNum:4
% 58.53/58.96 %MaxfuncDepth:1
% 58.53/58.96 %SharedTerms:6
% 58.53/58.96 %goalClause: 21
% 58.53/58.96 %singleGoalClaCount:1
% 58.53/58.96 [16]P2(a3,a4)
% 58.53/58.96 [21]~E(f2(a4),f1(a3))
% 58.53/58.96 [14]P1(f1(x141))
% 58.53/58.96 [15]P1(f2(x151))
% 58.53/58.96 [17]P2(x171,f1(x171))
% 58.53/58.96 [18]P2(f2(x181),x181)
% 58.53/58.96 [19]P3(x191,f1(x191),x191)
% 58.53/58.96 [20]P3(f2(x201),x201,x201)
% 58.53/58.96 [26]~P2(x261,x262)+P3(x261,x262,f5(x261,x262))
% 58.53/58.96 [25]P2(x251,x252)+~P3(x251,x252,x253)
% 58.53/58.96 [23]~P1(x231)+~P2(x231,x232)+P3(x231,x232,x232)
% 58.53/58.96 [24]~P1(x242)+~P2(x241,x242)+P3(x241,x242,x241)
% 58.53/58.96 [27]P2(x271,x272)+~P3(x272,x274,x273)+~P2(x271,x273)
% 58.53/58.96 [28]P2(x281,x282)+~P3(x284,x281,x283)+~P2(x283,x282)
% 58.53/58.96 [29]~P3(x293,x294,x291)+E(x291,x292)+~P3(x293,x294,x292)
% 58.53/58.96 [22]~P2(x223,x222)+~P2(x221,x223)+P2(x221,x222)+~P1(x223)
% 58.53/58.96 [30]~P3(x305,x302,x304)+P2(x301,x302)+~P3(x303,x305,x301)+~P2(x303,x304)
% 58.53/58.96 [31]~P3(x311,x315,x313)+P2(x311,x312)+~P3(x315,x314,x312)+~P2(x313,x314)
% 58.53/58.96 [32]~P3(x326,x322,x325)+P3(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x324,x326,x321)
% 58.53/58.96 [33]~P3(x331,x336,x334)+P3(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x336,x335,x332)
% 58.53/58.96 %EqnAxiom
% 58.53/58.96 [1]E(x11,x11)
% 58.53/58.96 [2]E(x22,x21)+~E(x21,x22)
% 58.53/58.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 58.53/58.96 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 58.53/58.96 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 58.53/58.96 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 58.53/58.96 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 58.53/58.96 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 58.53/58.96 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 58.53/58.96 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 58.53/58.96 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 58.53/58.96 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 58.53/58.96 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 58.53/58.96
% 58.53/58.96 %-------------------------------------------
% 58.53/58.98 cnf(34,plain,
% 58.53/58.98 (P2(f1(x341),f1(x341))),
% 58.53/58.98 inference(scs_inference,[],[19,17,28])).
% 58.53/58.98 cnf(68,plain,
% 58.53/58.98 (P3(f2(x681),x681,x682)+~E(x681,x682)),
% 58.53/58.98 inference(scs_inference,[],[19,20,34,28,11])).
% 58.53/58.98 cnf(114,plain,
% 58.53/58.98 (P2(x1141,f1(x1142))+~E(x1142,x1141)),
% 58.53/58.98 inference(scs_inference,[],[17,12])).
% 58.53/58.98 cnf(201,plain,
% 58.53/58.98 (~P3(f1(a3),f1(f1(a3)),f2(a4))),
% 58.53/58.98 inference(scs_inference,[],[21,19,29])).
% 58.53/58.98 cnf(218,plain,
% 58.53/58.98 (~E(f1(a3),f2(a4))),
% 58.53/58.98 inference(scs_inference,[],[21,201,19,20,29,11])).
% 58.53/58.98 cnf(319,plain,
% 58.53/58.98 (P3(x3191,f1(x3191),f5(x3191,f1(x3191)))),
% 58.53/58.98 inference(scs_inference,[],[19,25,26])).
% 58.53/58.98 cnf(325,plain,
% 58.53/58.98 (P3(f2(x3251),x3251,x3251)),
% 58.53/58.98 inference(rename_variables,[],[20])).
% 58.53/58.98 cnf(330,plain,
% 58.53/58.98 (P3(f2(x3301),x3301,x3301)),
% 58.53/58.98 inference(rename_variables,[],[20])).
% 58.53/58.98 cnf(333,plain,
% 58.53/58.98 (P3(f2(x3331),x3331,x3331)),
% 58.53/58.98 inference(rename_variables,[],[20])).
% 58.53/58.98 cnf(342,plain,
% 58.53/58.98 (P2(f1(a3),f2(a4))),
% 58.53/58.98 inference(scs_inference,[],[19,20,325,330,333,319,18,16,29,9,10,12,13,33,31,2,68,114,8,27,28])).
% 58.53/58.98 cnf(3265,plain,
% 58.53/58.98 ($false),
% 58.53/58.98 inference(scs_inference,[],[218,342,15,14,24,23,29]),
% 58.53/58.98 ['proof']).
% 58.53/58.98 % SZS output end Proof
% 58.53/58.98 % Total time :58.010000s
%------------------------------------------------------------------------------