TSTP Solution File: CAT014-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT014-1 : 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 : n019.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 18:13:46 EDT 2023
% Result : Unsatisfiable 0.21s 0.69s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 00:08:58 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.63 start to proof:theBenchmark
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % File :CSE---1.6
% 0.21/0.69 % Problem :theBenchmark
% 0.21/0.69 % Transform :cnf
% 0.21/0.69 % Format :tptp:raw
% 0.21/0.69 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.69
% 0.21/0.69 % Result :Theorem 0.010000s
% 0.21/0.69 % Output :CNFRefutation 0.010000s
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 % File : CAT014-1 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.69 % Domain : Category Theory
% 0.21/0.69 % Problem : codomain(codomain(x)) = codomain(x)
% 0.21/0.69 % Version : [Mit67] axioms.
% 0.21/0.69 % English :
% 0.21/0.69
% 0.21/0.69 % Refs : [Mit67] Mitchell (1967), Theory of Categories
% 0.21/0.69 % Source : [ANL]
% 0.21/0.69 % Names : p14.ver1.in [ANL]
% 0.21/0.69
% 0.21/0.69 % Status : Unsatisfiable
% 0.21/0.69 % Rating : 0.00 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.22 v5.5.0, 0.19 v5.4.0, 0.13 v5.3.0, 0.25 v5.1.0, 0.14 v5.0.0, 0.00 v2.0.0
% 0.21/0.69 % Syntax : Number of clauses : 19 ( 7 unt; 0 nHn; 13 RR)
% 0.21/0.69 % Number of literals : 46 ( 2 equ; 28 neg)
% 0.21/0.69 % Maximal clause size : 4 ( 2 avg)
% 0.21/0.69 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.69 % Number of predicates : 4 ( 3 usr; 0 prp; 1-3 aty)
% 0.21/0.69 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.21/0.69 % Number of variables : 52 ( 5 sgn)
% 0.21/0.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.69
% 0.21/0.69 % Comments :
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 %----Include Mitchell's axioms for category theory
% 0.21/0.69 include('Axioms/CAT001-0.ax').
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 cnf(prove_codomain_is_idempotent,negated_conjecture,
% 0.21/0.69 codomain(codomain(a)) != codomain(a) ).
% 0.21/0.69
% 0.21/0.69 %--------------------------------------------------------------------------
% 0.21/0.69 %-------------------------------------------
% 0.21/0.69 % Proof found
% 0.21/0.69 % SZS status Theorem for theBenchmark
% 0.21/0.69 % SZS output start Proof
% 0.21/0.70 %ClaNum:32(EqnAxiom:13)
% 0.21/0.70 %VarNum:108(SingletonVarNum:52)
% 0.21/0.70 %MaxLitNum:4
% 0.21/0.70 %MaxfuncDepth:2
% 0.21/0.70 %SharedTerms:4
% 0.21/0.70 %goalClause: 20
% 0.21/0.70 %singleGoalClaCount:1
% 0.21/0.70 [20]~E(f2(f2(a3)),f2(a3))
% 0.21/0.70 [14]P1(f1(x141))
% 0.21/0.70 [15]P1(f2(x151))
% 0.21/0.70 [16]P2(x161,f1(x161))
% 0.21/0.70 [17]P2(f2(x171),x171)
% 0.21/0.70 [18]P3(x181,f1(x181),x181)
% 0.21/0.70 [19]P3(f2(x191),x191,x191)
% 0.21/0.70 [25]~P2(x251,x252)+P3(x251,x252,f4(x251,x252))
% 0.21/0.70 [24]P2(x241,x242)+~P3(x241,x242,x243)
% 0.21/0.70 [22]~P1(x221)+~P2(x221,x222)+P3(x221,x222,x222)
% 0.21/0.70 [23]~P1(x232)+~P2(x231,x232)+P3(x231,x232,x231)
% 0.21/0.70 [26]P2(x261,x262)+~P3(x262,x264,x263)+~P2(x261,x263)
% 0.21/0.70 [27]P2(x271,x272)+~P3(x274,x271,x273)+~P2(x273,x272)
% 0.21/0.70 [28]~P3(x283,x284,x281)+E(x281,x282)+~P3(x283,x284,x282)
% 0.21/0.70 [21]~P2(x213,x212)+~P2(x211,x213)+P2(x211,x212)+~P1(x213)
% 0.21/0.70 [29]~P3(x295,x292,x294)+P2(x291,x292)+~P3(x293,x295,x291)+~P2(x293,x294)
% 0.21/0.70 [30]~P3(x301,x305,x303)+P2(x301,x302)+~P3(x305,x304,x302)+~P2(x303,x304)
% 0.21/0.70 [31]~P3(x316,x312,x315)+P3(x311,x312,x313)+~P3(x314,x315,x313)+~P3(x314,x316,x311)
% 0.21/0.70 [32]~P3(x321,x326,x324)+P3(x321,x322,x323)+~P3(x324,x325,x323)+~P3(x326,x325,x322)
% 0.21/0.70 %EqnAxiom
% 0.21/0.70 [1]E(x11,x11)
% 0.21/0.70 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.70 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.21/0.70 [5]~E(x51,x52)+E(f2(x51),f2(x52))
% 0.21/0.70 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.21/0.70 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.21/0.70 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/0.70 [9]P3(x92,x93,x94)+~E(x91,x92)+~P3(x91,x93,x94)
% 0.21/0.70 [10]P3(x103,x102,x104)+~E(x101,x102)+~P3(x103,x101,x104)
% 0.21/0.70 [11]P3(x113,x114,x112)+~E(x111,x112)+~P3(x113,x114,x111)
% 0.21/0.70 [12]P2(x122,x123)+~E(x121,x122)+~P2(x121,x123)
% 0.21/0.70 [13]P2(x133,x132)+~E(x131,x132)+~P2(x133,x131)
% 0.21/0.70
% 0.21/0.70 %-------------------------------------------
% 0.21/0.70 cnf(34,plain,
% 0.21/0.70 (P2(f1(x341),f1(x341))),
% 0.21/0.70 inference(scs_inference,[],[20,18,16,5,27])).
% 0.21/0.70 cnf(35,plain,
% 0.21/0.70 (P2(x351,f1(x351))),
% 0.21/0.70 inference(rename_variables,[],[16])).
% 0.21/0.70 cnf(44,plain,
% 0.21/0.70 (E(f4(x441,f1(x441)),x441)),
% 0.21/0.70 inference(scs_inference,[],[20,18,19,16,35,14,5,27,26,2,25,8,28])).
% 0.21/0.70 cnf(46,plain,
% 0.21/0.70 (P3(f2(f2(x461)),f2(x461),f2(f2(x461)))),
% 0.21/0.70 inference(scs_inference,[],[20,18,19,16,35,17,14,15,5,27,26,2,25,8,28,23])).
% 0.21/0.70 cnf(70,plain,
% 0.21/0.70 ($false),
% 0.21/0.70 inference(scs_inference,[],[20,19,16,15,14,44,46,34,22,23,2,28]),
% 0.21/0.70 ['proof']).
% 0.21/0.70 % SZS output end Proof
% 0.21/0.70 % Total time :0.010000s
%------------------------------------------------------------------------------