%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT017-3 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 04:40:17 EDT 2024
% Result : Unsatisfiable 0.53s 0.60s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT017-3 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 12:31:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.56 start to proof:theBenchmark
% 0.53/0.59 %-------------------------------------------
% 0.53/0.59 % File :CSE---1.7
% 0.53/0.59 % Problem :theBenchmark
% 0.53/0.59 % Transform :cnf
% 0.53/0.59 % Format :tptp:raw
% 0.53/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.59
% 0.53/0.59 % Result :Theorem 0.000000s
% 0.53/0.59 % Output :CNFRefutation 0.000000s
% 0.53/0.59 %-------------------------------------------
% 0.53/0.60 %--------------------------------------------------------------------------
% 0.53/0.60 % File : CAT017-3 : TPTP v8.2.0. Released v1.0.0.
% 0.53/0.60 % Domain : Category Theory
% 0.53/0.60 % Problem : If x exists, then codomain(x) exists
% 0.53/0.60 % Version : [Sco79] axioms : Reduced > Complete.
% 0.53/0.60 % English :
% 0.53/0.60
% 0.53/0.60 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.53/0.60 % Source : [ANL]
% 0.53/0.60 % Names : p17.ver3.in [ANL]
% 0.53/0.60
% 0.53/0.60 % Status : Unsatisfiable
% 0.53/0.60 % Rating : 0.05 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.15 v5.3.0, 0.11 v5.2.0, 0.12 v5.1.0, 0.06 v5.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.08 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 0.53/0.60 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 0.53/0.60 % Number of literals : 39 ( 15 equ; 18 neg)
% 0.53/0.60 % Maximal clause size : 4 ( 2 avg)
% 0.53/0.60 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.60 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.53/0.60 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 0.53/0.60 % Number of variables : 31 ( 4 sgn)
% 0.53/0.60 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.53/0.60
% 0.53/0.60 % Comments : Axioms simplified by Art Quaife.
% 0.53/0.60 %--------------------------------------------------------------------------
% 0.53/0.60 %----Include Scott's axioms for category theory
% 0.53/0.60 include('Axioms/CAT003-0.ax').
% 0.53/0.60 %--------------------------------------------------------------------------
% 0.53/0.60 cnf(assume_a_exists,hypothesis,
% 0.53/0.60 there_exists(a) ).
% 0.53/0.60
% 0.53/0.60 cnf(prove_codomain_of_a_exists,negated_conjecture,
% 0.53/0.60 ~ there_exists(codomain(a)) ).
% 0.53/0.60
% 0.53/0.60 %--------------------------------------------------------------------------
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 % Proof found
% 0.53/0.60 % SZS status Theorem for theBenchmark
% 0.53/0.60 % SZS output start Proof
% 0.53/0.60 %ClaNum:30(EqnAxiom:12)
% 0.53/0.60 %VarNum:58(SingletonVarNum:27)
% 0.53/0.60 %MaxLitNum:3
% 0.53/0.60 %MaxfuncDepth:2
% 0.53/0.60 %SharedTerms:4
% 0.53/0.60 %goalClause: 17
% 0.53/0.60 %singleGoalClaCount:1
% 0.53/0.60 [13]P1(a1)
% 0.53/0.60 [17]~P1(f4(a1))
% 0.53/0.60 [14]E(f3(x141,f2(x141)),x141)
% 0.53/0.60 [15]E(f3(f4(x151),x151),x151)
% 0.53/0.60 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 0.53/0.60 [18]P1(x181)+~P1(f2(x181))
% 0.53/0.60 [19]P1(x191)+~P1(f4(x191))
% 0.53/0.60 [20]~P2(x201,x202)+E(x201,x202)
% 0.53/0.60 [22]P1(x221)+~P2(x222,x221)
% 0.53/0.60 [23]P1(x231)+~P2(x231,x232)
% 0.53/0.60 [25]E(x251,x252)+P1(f5(x251,x252))
% 0.53/0.60 [27]E(f4(x271),f2(x272))+~P1(f3(x272,x271))
% 0.53/0.60 [28]P1(f2(x281))+~P1(f3(x281,x282))
% 0.53/0.60 [29]P1(f4(x291))+~P1(f3(x291,x292))
% 0.53/0.60 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 0.53/0.60 [26]E(x261,x262)+E(f5(x261,x262),x262)+E(f5(x261,x262),x261)
% 0.53/0.60 [30]~E(f4(x302),f2(x301))+~P1(f2(x301))+P1(f3(x301,x302))
% 0.53/0.60 %EqnAxiom
% 0.53/0.60 [1]E(x11,x11)
% 0.53/0.60 [2]E(x22,x21)+~E(x21,x22)
% 0.53/0.60 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.53/0.60 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.53/0.60 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.53/0.60 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.53/0.60 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.53/0.60 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 0.53/0.60 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 0.53/0.60 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.53/0.60 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.53/0.60 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.53/0.60
% 0.53/0.60 %-------------------------------------------
% 0.53/0.60 cnf(36,plain,
% 0.53/0.60 (~P1(f3(a1,x361))),
% 0.53/0.60 inference(scs_inference,[],[17,22,23,29])).
% 0.53/0.60 cnf(38,plain,
% 0.53/0.60 (E(x381,f3(x381,f2(x381)))),
% 0.53/0.60 inference(scs_inference,[],[17,14,22,23,29,2])).
% 0.53/0.60 cnf(39,plain,
% 0.53/0.61 (~P1(f3(f4(a1),f2(f4(a1))))),
% 0.53/0.61 inference(scs_inference,[],[17,14,22,23,29,2,10])).
% 0.53/0.61 cnf(54,plain,
% 0.53/0.61 ($false),
% 0.53/0.61 inference(scs_inference,[],[39,36,38,15,13,23,22,2,10]),
% 0.53/0.61 ['proof']).
% 0.53/0.61 % SZS output end Proof
% 0.53/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------