%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT007-1 : 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 : n014.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 04:40:11 EDT 2024
% Result : Unsatisfiable 0.50s 0.58s
% Output : CNFRefutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : CAT007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n014.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Jun 18 12:43:53 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.15/0.52 start to proof:theBenchmark
% 0.15/0.57 %-------------------------------------------
% 0.15/0.57 % File :CSE---1.7
% 0.15/0.57 % Problem :theBenchmark
% 0.15/0.57 % Transform :cnf
% 0.15/0.57 % Format :tptp:raw
% 0.15/0.57 % Command :java -jar mcs_scs.jar %d %s
% 0.15/0.57
% 0.15/0.57 % Result :Theorem 0.020000s
% 0.15/0.57 % Output :CNFRefutation 0.020000s
% 0.15/0.57 %-------------------------------------------
% 0.50/0.57 %--------------------------------------------------------------------------
% 0.50/0.57 % File : CAT007-1 : TPTP v8.2.0. Released v1.0.0.
% 0.50/0.57 % Domain : Category Theory
% 0.50/0.57 % Problem : If domain(x) = codomain(y) then xy is defined
% 0.50/0.57 % Version : [Mit67] axioms.
% 0.50/0.57 % English :
% 0.50/0.57
% 0.50/0.57 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 0.50/0.57 % : [MOW76] McCharen et al. (1976), Problems and Experiments for a
% 0.50/0.57 % Source : [ANL]
% 0.50/0.58 % Names : C7 [MOW76]
% 0.50/0.58 % : p7.ver1.in [ANL]
% 0.50/0.58
% 0.50/0.58 % Status : Unsatisfiable
% 0.50/0.58 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.19 v5.4.0, 0.13 v5.3.0, 0.25 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
% 0.50/0.58 % Syntax : Number of clauses : 20 ( 8 unt; 0 nHn; 14 RR)
% 0.50/0.58 % Number of literals : 47 ( 2 equ; 28 neg)
% 0.50/0.58 % Maximal clause size : 4 ( 2 avg)
% 0.50/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.50/0.58 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.50/0.58 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.50/0.58 % Number of variables : 52 ( 5 sgn)
% 0.50/0.58 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.50/0.58
% 0.50/0.58 % Comments :
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.58 %----Include Mitchell's axioms for category theory
% 0.50/0.58 include('Axioms/CAT001-0.ax').
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.58 cnf(domain_of_a_equals_codomain_of_b,hypothesis,
% 0.50/0.58 domain(a) = codomain(b) ).
% 0.50/0.58
% 0.50/0.58 cnf(prove_ab_is_defined,negated_conjecture,
% 0.50/0.58 ~ defined(a,b) ).
% 0.50/0.58
% 0.50/0.58 %--------------------------------------------------------------------------
% 0.50/0.58 %-------------------------------------------
% 0.50/0.58 % Proof found
% 0.50/0.58 % SZS status Theorem for theBenchmark
% 0.50/0.58 % SZS output start Proof
% 0.50/0.58 %ClaNum:33(EqnAxiom:13)
% 0.50/0.58 %VarNum:108(SingletonVarNum:52)
% 0.50/0.58 %MaxLitNum:4
% 0.50/0.58 %MaxfuncDepth:1
% 0.50/0.58 %SharedTerms:6
% 0.50/0.58 %goalClause: 21
% 0.50/0.58 %singleGoalClaCount:1
% 0.50/0.58 [21]~P2(a2,a1)
% 0.50/0.58 [14]E(f3(a1),f4(a2))
% 0.50/0.58 [15]P1(f4(x151))
% 0.50/0.58 [16]P1(f3(x161))
% 0.50/0.58 [17]P2(x171,f4(x171))
% 0.50/0.58 [18]P2(f3(x181),x181)
% 0.50/0.58 [19]P3(x191,f4(x191),x191)
% 0.50/0.58 [20]P3(f3(x201),x201,x201)
% 0.50/0.58 [26]~P2(x261,x262)+P3(x261,x262,f5(x261,x262))
% 0.50/0.58 [25]P2(x251,x252)+~P3(x251,x252,x253)
% 0.50/0.58 [23]~P1(x231)+~P2(x231,x232)+P3(x231,x232,x232)
% 0.50/0.58 [24]~P1(x242)+~P2(x241,x242)+P3(x241,x242,x241)
% 0.50/0.58 [27]P2(x271,x272)+~P3(x272,x274,x273)+~P2(x271,x273)
% 0.50/0.58 [28]P2(x281,x282)+~P3(x284,x281,x283)+~P2(x283,x282)
% 0.50/0.58 [29]~P3(x293,x294,x291)+E(x291,x292)+~P3(x293,x294,x292)
% 0.50/0.58 [22]~P2(x223,x222)+~P2(x221,x223)+P2(x221,x222)+~P1(x223)
% 0.50/0.58 [30]~P3(x305,x302,x304)+P2(x301,x302)+~P3(x303,x305,x301)+~P2(x303,x304)
% 0.50/0.58 [31]~P3(x311,x315,x313)+P2(x311,x312)+~P3(x315,x314,x312)+~P2(x313,x314)
% 0.50/0.58 [32]~P3(x326,x322,x325)+P3(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x324,x326,x321)
% 0.50/0.58 [33]~P3(x331,x336,x334)+P3(x331,x332,x333)+~P3(x334,x335,x333)+~P3(x336,x335,x332)
% 0.50/0.58 %EqnAxiom
% 0.50/0.58 [1]E(x11,x11)
% 0.50/0.58 [2]E(x22,x21)+~E(x21,x22)
% 0.50/0.58 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.50/0.58 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 0.50/0.58 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.50/0.58 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 0.50/0.58 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 0.50/0.58 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.50/0.58 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.50/0.58 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.50/0.58 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.50/0.58 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.50/0.58 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.50/0.58
% 0.50/0.58 %-------------------------------------------
% 0.50/0.58 cnf(36,plain,
% 0.50/0.58 (E(f4(a2),f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,14,25,2])).
% 0.50/0.58 cnf(37,plain,
% 0.50/0.58 (~P3(a1,x371,f4(a2))),
% 0.50/0.58 inference(scs_inference,[],[21,17,14,25,2,27])).
% 0.50/0.58 cnf(38,plain,
% 0.50/0.58 (P2(x381,f4(x381))),
% 0.50/0.58 inference(rename_variables,[],[17])).
% 0.50/0.58 cnf(40,plain,
% 0.50/0.58 (P2(f4(x401),f4(x401))),
% 0.50/0.58 inference(scs_inference,[],[21,19,17,38,14,25,2,27,28])).
% 0.50/0.58 cnf(41,plain,
% 0.50/0.58 (P2(x411,f4(x411))),
% 0.50/0.58 inference(rename_variables,[],[17])).
% 0.50/0.58 cnf(43,plain,
% 0.50/0.58 (P2(f4(a2),f4(f3(a1)))),
% 0.50/0.58 inference(scs_inference,[],[21,19,17,38,41,14,25,2,27,28,12])).
% 0.50/0.58 cnf(44,plain,
% 0.50/0.58 (P2(x441,f4(x441))),
% 0.50/0.58 inference(rename_variables,[],[17])).
% 0.50/0.58 cnf(46,plain,
% 0.50/0.58 (P3(x461,f4(x461),x461)),
% 0.50/0.58 inference(rename_variables,[],[19])).
% 0.50/0.58 cnf(47,plain,
% 0.50/0.58 (P3(f3(f3(a1)),f4(a2),f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,19,20,17,38,41,14,25,2,27,28,12,9,10])).
% 0.50/0.58 cnf(48,plain,
% 0.50/0.58 (P3(f3(x481),x481,x481)),
% 0.50/0.58 inference(rename_variables,[],[20])).
% 0.50/0.58 cnf(49,plain,
% 0.50/0.58 (P3(f3(a1),f4(f3(a1)),f4(a2))),
% 0.50/0.58 inference(scs_inference,[],[21,19,46,20,17,38,41,14,25,2,27,28,12,9,10,11])).
% 0.50/0.58 cnf(50,plain,
% 0.50/0.58 (P3(x501,f4(x501),x501)),
% 0.50/0.58 inference(rename_variables,[],[19])).
% 0.50/0.58 cnf(53,plain,
% 0.50/0.58 (~P2(f4(a2),a1)),
% 0.50/0.58 inference(scs_inference,[],[21,19,46,20,17,38,41,44,18,14,15,25,2,27,28,12,9,10,11,13,22])).
% 0.50/0.58 cnf(55,plain,
% 0.50/0.58 (P2(x551,f4(x551))),
% 0.50/0.58 inference(rename_variables,[],[17])).
% 0.50/0.58 cnf(58,plain,
% 0.50/0.58 (P3(x581,f4(x581),x581)),
% 0.50/0.58 inference(rename_variables,[],[19])).
% 0.50/0.58 cnf(62,plain,
% 0.50/0.58 (P3(x621,f4(x621),x621)),
% 0.50/0.58 inference(rename_variables,[],[19])).
% 0.50/0.58 cnf(67,plain,
% 0.50/0.58 (P3(f3(f3(a1)),f4(a2),f4(a2))),
% 0.50/0.58 inference(scs_inference,[],[21,19,46,50,58,62,20,48,17,38,41,44,55,18,14,15,25,2,27,28,12,9,10,11,13,22,30,31,32,33])).
% 0.50/0.58 cnf(72,plain,
% 0.50/0.58 (~P3(x721,a2,f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,53,18,25,28])).
% 0.50/0.58 cnf(73,plain,
% 0.50/0.58 (P2(f3(x731),x731)),
% 0.50/0.58 inference(rename_variables,[],[18])).
% 0.50/0.58 cnf(77,plain,
% 0.50/0.58 (P2(f3(a1),f4(a2))),
% 0.50/0.58 inference(scs_inference,[],[21,40,53,43,36,18,25,28,27,12])).
% 0.50/0.58 cnf(85,plain,
% 0.50/0.58 (~P2(a2,f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,40,53,43,37,67,36,16,20,18,73,25,28,27,12,9,11,13,10,22])).
% 0.50/0.58 cnf(89,plain,
% 0.50/0.58 (P3(f3(a1),f4(f4(a2)),f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,40,53,43,37,67,47,36,16,20,18,73,19,25,28,27,12,9,11,13,10,22,32])).
% 0.50/0.58 cnf(106,plain,
% 0.50/0.58 (P2(f3(a1),f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[85,77,49,89,25,28,27])).
% 0.50/0.58 cnf(109,plain,
% 0.50/0.58 (P2(f3(x1091),x1091)),
% 0.50/0.58 inference(rename_variables,[],[18])).
% 0.50/0.58 cnf(117,plain,
% 0.50/0.58 (~P2(f4(a2),f3(a1))),
% 0.50/0.58 inference(scs_inference,[],[21,85,72,77,37,49,17,36,14,89,15,18,109,25,28,27,12,9,11,10,13,22])).
% 0.50/0.58 cnf(132,plain,
% 0.50/0.58 ($false),
% 0.50/0.58 inference(scs_inference,[],[106,117,47,25,28]),
% 0.50/0.58 ['proof']).
% 0.50/0.58 % SZS output end Proof
% 0.50/0.58 % Total time :0.020000s
%------------------------------------------------------------------------------