TSTP Solution File: CAT005-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT005-1 : 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 : n006.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 18:13:40 EDT 2023
% Result : Unsatisfiable 0.20s 0.69s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 00:05:22 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.62 start to proof:theBenchmark
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 % File :CSE---1.6
% 0.20/0.68 % Problem :theBenchmark
% 0.20/0.68 % Transform :cnf
% 0.20/0.68 % Format :tptp:raw
% 0.20/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.68
% 0.20/0.68 % Result :Theorem 0.010000s
% 0.20/0.68 % Output :CNFRefutation 0.010000s
% 0.20/0.68 %-------------------------------------------
% 0.20/0.68 %--------------------------------------------------------------------------
% 0.20/0.68 % File : CAT005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.68 % Domain : Category Theory
% 0.20/0.68 % Problem : Domain is the unique right identity
% 0.20/0.68 % Version : [Mit67] axioms.
% 0.20/0.68 % English : domain(x) is the unique identity i such that xi is defined.
% 0.20/0.68
% 0.20/0.68 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 0.20/0.68 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.20/0.68 % Source : [ANL]
% 0.20/0.68 % Names : C5 [MOW76]
% 0.20/0.68 % : p5.ver1.in [ANL]
% 0.20/0.68
% 0.20/0.68 % Status : Unsatisfiable
% 0.20/0.68 % 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 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.7.0, 0.00 v2.2.1, 0.11 v2.2.0, 0.00 v2.0.0
% 0.20/0.68 % Syntax : Number of clauses : 21 ( 9 unt; 0 nHn; 15 RR)
% 0.20/0.68 % Number of literals : 48 ( 2 equ; 28 neg)
% 0.20/0.68 % Maximal clause size : 4 ( 2 avg)
% 0.20/0.68 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.68 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.20/0.68 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.20/0.68 % Number of variables : 52 ( 5 sgn)
% 0.20/0.68 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.20/0.68
% 0.20/0.68 % Comments :
% 0.20/0.68 %--------------------------------------------------------------------------
% 0.20/0.68 %----Include Mitchell's axioms for category theory
% 0.20/0.68 include('Axioms/CAT001-0.ax').
% 0.20/0.68 %--------------------------------------------------------------------------
% 0.20/0.69 cnf(ad_defined,hypothesis,
% 0.20/0.69 defined(a,d) ).
% 0.20/0.69
% 0.20/0.69 cnf(d_is_identity_map,hypothesis,
% 0.20/0.69 identity_map(d) ).
% 0.20/0.69
% 0.20/0.69 cnf(prove_domain_of_a_is_d,negated_conjecture,
% 0.20/0.69 domain(a) != d ).
% 0.20/0.69
% 0.20/0.69 %--------------------------------------------------------------------------
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 % Proof found
% 0.20/0.69 % SZS status Theorem for theBenchmark
% 0.20/0.69 % SZS output start Proof
% 0.20/0.69 %ClaNum:34(EqnAxiom:13)
% 0.20/0.69 %VarNum:108(SingletonVarNum:52)
% 0.20/0.69 %MaxLitNum:4
% 0.20/0.69 %MaxfuncDepth:1
% 0.20/0.69 %SharedTerms:6
% 0.20/0.69 %goalClause: 22
% 0.20/0.69 %singleGoalClaCount:1
% 0.20/0.69 [14]P1(a1)
% 0.20/0.69 [17]P2(a3,a1)
% 0.20/0.69 [22]~E(f5(a3),a1)
% 0.20/0.69 [15]P1(f5(x151))
% 0.20/0.69 [16]P1(f2(x161))
% 0.20/0.69 [18]P2(x181,f5(x181))
% 0.20/0.69 [19]P2(f2(x191),x191)
% 0.20/0.69 [20]P3(x201,f5(x201),x201)
% 0.20/0.69 [21]P3(f2(x211),x211,x211)
% 0.20/0.69 [27]~P2(x271,x272)+P3(x271,x272,f4(x271,x272))
% 0.20/0.69 [26]P2(x261,x262)+~P3(x261,x262,x263)
% 0.20/0.69 [24]~P1(x241)+~P2(x241,x242)+P3(x241,x242,x242)
% 0.20/0.69 [25]~P1(x252)+~P2(x251,x252)+P3(x251,x252,x251)
% 0.20/0.69 [28]P2(x281,x282)+~P3(x282,x284,x283)+~P2(x281,x283)
% 0.20/0.69 [29]P2(x291,x292)+~P3(x294,x291,x293)+~P2(x293,x292)
% 0.20/0.69 [30]~P3(x303,x304,x301)+E(x301,x302)+~P3(x303,x304,x302)
% 0.20/0.69 [23]~P2(x233,x232)+~P2(x231,x233)+P2(x231,x232)+~P1(x233)
% 0.20/0.69 [31]~P3(x315,x312,x314)+P2(x311,x312)+~P3(x313,x315,x311)+~P2(x313,x314)
% 0.20/0.69 [32]~P3(x321,x325,x323)+P2(x321,x322)+~P3(x325,x324,x322)+~P2(x323,x324)
% 0.20/0.69 [33]~P3(x336,x332,x335)+P3(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x334,x336,x331)
% 0.20/0.69 [34]~P3(x341,x346,x344)+P3(x341,x342,x343)+~P3(x344,x345,x343)+~P3(x346,x345,x342)
% 0.20/0.69 %EqnAxiom
% 0.20/0.69 [1]E(x11,x11)
% 0.20/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.20/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.20/0.69 [4]~E(x41,x42)+E(f5(x41),f5(x42))
% 0.20/0.69 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.20/0.69 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.20/0.69 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.20/0.69 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.20/0.69 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.20/0.69 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.20/0.69 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.20/0.69 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.20/0.69 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.20/0.69
% 0.20/0.69 %-------------------------------------------
% 0.20/0.69 cnf(35,plain,
% 0.20/0.69 (P2(f5(a3),a1)),
% 0.20/0.69 inference(scs_inference,[],[17,20,29])).
% 0.20/0.69 cnf(36,plain,
% 0.20/0.69 (P3(x361,f5(x361),x361)),
% 0.20/0.69 inference(rename_variables,[],[20])).
% 0.20/0.69 cnf(42,plain,
% 0.20/0.69 (P3(x421,f5(x421),x421)),
% 0.20/0.69 inference(rename_variables,[],[20])).
% 0.20/0.69 cnf(46,plain,
% 0.20/0.69 (P3(a1,f5(a1),f5(a1))),
% 0.20/0.69 inference(scs_inference,[],[22,14,17,20,36,18,29,2,27,8,30,25,24])).
% 0.20/0.69 cnf(48,plain,
% 0.20/0.69 (~P3(f2(f5(a3)),f5(a3),a1)),
% 0.20/0.69 inference(scs_inference,[],[22,14,17,20,36,42,21,18,29,2,27,8,30,25,24,33])).
% 0.20/0.69 cnf(68,plain,
% 0.20/0.69 (P3(x681,f5(x681),x681)),
% 0.20/0.69 inference(rename_variables,[],[20])).
% 0.20/0.69 cnf(70,plain,
% 0.20/0.69 (P3(f5(a3),a1,a1)),
% 0.20/0.69 inference(scs_inference,[],[22,15,20,35,30,24])).
% 0.20/0.69 cnf(71,plain,
% 0.20/0.69 (P1(f5(x711))),
% 0.20/0.69 inference(rename_variables,[],[15])).
% 0.20/0.69 cnf(74,plain,
% 0.20/0.69 (P3(x741,f5(x741),x741)),
% 0.20/0.69 inference(rename_variables,[],[20])).
% 0.20/0.69 cnf(83,plain,
% 0.20/0.69 (P3(f5(a3),a1,f5(a3))),
% 0.20/0.69 inference(scs_inference,[],[22,19,15,71,20,68,21,14,46,35,30,24,33,23,34,25])).
% 0.20/0.69 cnf(85,plain,
% 0.20/0.69 (~E(a1,f5(f5(a3)))),
% 0.20/0.69 inference(scs_inference,[],[22,19,15,71,20,68,74,21,14,46,35,30,24,33,23,34,25,11])).
% 0.20/0.69 cnf(117,plain,
% 0.20/0.69 (P3(f2(x1171),x1171,x1171)),
% 0.20/0.69 inference(rename_variables,[],[21])).
% 0.20/0.69 cnf(119,plain,
% 0.20/0.69 ($false),
% 0.20/0.69 inference(scs_inference,[],[21,117,85,70,48,83,30,34]),
% 0.20/0.69 ['proof']).
% 0.20/0.69 % SZS output end Proof
% 0.20/0.69 % Total time :0.010000s
%------------------------------------------------------------------------------