%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT011-3 : 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 : n008.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 04:40:14 EDT 2024
% Result : Unsatisfiable 3.22s 3.37s
% Output : CNFRefutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT011-3 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n008.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Jun 18 11:58:39 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.60 start to proof:theBenchmark
% 3.22/3.36 %-------------------------------------------
% 3.22/3.36 % File :CSE---1.7
% 3.22/3.36 % Problem :theBenchmark
% 3.22/3.36 % Transform :cnf
% 3.22/3.36 % Format :tptp:raw
% 3.22/3.36 % Command :java -jar mcs_scs.jar %d %s
% 3.22/3.36
% 3.22/3.36 % Result :Theorem 2.670000s
% 3.22/3.36 % Output :CNFRefutation 2.670000s
% 3.22/3.36 %-------------------------------------------
% 3.22/3.37 %--------------------------------------------------------------------------
% 3.22/3.37 % File : CAT011-3 : TPTP v8.2.0. Released v1.0.0.
% 3.22/3.37 % Domain : Category Theory
% 3.22/3.37 % Problem : domain(domain(x)) = domain(x)
% 3.22/3.37 % Version : [Sco79] axioms : Reduced > Complete.
% 3.22/3.37 % English :
% 3.22/3.37
% 3.22/3.37 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 3.22/3.37 % Source : [ANL]
% 3.22/3.37 % Names : p11.ver3.in [ANL]
% 3.22/3.37
% 3.22/3.37 % Status : Unsatisfiable
% 3.22/3.37 % Rating : 0.10 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, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.10 v6.1.0, 0.21 v6.0.0, 0.10 v5.5.0, 0.35 v5.4.0, 0.30 v5.3.0, 0.33 v5.2.0, 0.19 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.08 v4.0.1, 0.18 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.17 v3.3.0, 0.21 v3.2.0, 0.23 v3.1.0, 0.27 v2.7.0, 0.25 v2.6.0, 0.30 v2.5.0, 0.25 v2.4.0, 0.22 v2.3.0, 0.33 v2.2.1, 0.44 v2.2.0, 0.56 v2.1.0, 0.56 v2.0.0
% 3.22/3.37 % Syntax : Number of clauses : 19 ( 5 unt; 2 nHn; 14 RR)
% 3.22/3.37 % Number of literals : 39 ( 16 equ; 18 neg)
% 3.22/3.37 % Maximal clause size : 4 ( 2 avg)
% 3.22/3.37 % Maximal term depth : 3 ( 1 avg)
% 3.22/3.37 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 3.22/3.37 % Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% 3.22/3.37 % Number of variables : 31 ( 4 sgn)
% 3.22/3.37 % SPC : CNF_UNS_RFO_SEQ_NHN
% 3.22/3.37
% 3.22/3.37 % Comments : Axioms simplified by Art Quaife.
% 3.22/3.37 %--------------------------------------------------------------------------
% 3.22/3.37 %----Include Scott's axioms for category theory
% 3.22/3.37 include('Axioms/CAT003-0.ax').
% 3.22/3.37 %--------------------------------------------------------------------------
% 3.22/3.37 cnf(assume_domain_exists,hypothesis,
% 3.22/3.37 there_exists(domain(a)) ).
% 3.22/3.37
% 3.22/3.37 cnf(prove_domain_is_idempotent,negated_conjecture,
% 3.22/3.37 domain(domain(a)) != domain(a) ).
% 3.22/3.37
% 3.22/3.37 %--------------------------------------------------------------------------
% 3.22/3.37 %-------------------------------------------
% 3.22/3.37 % Proof found
% 3.22/3.37 % SZS status Theorem for theBenchmark
% 3.22/3.37 % SZS output start Proof
% 3.22/3.38 %ClaNum:30(EqnAxiom:12)
% 3.22/3.38 %VarNum:58(SingletonVarNum:27)
% 3.22/3.38 %MaxLitNum:3
% 3.22/3.38 %MaxfuncDepth:2
% 3.22/3.38 %SharedTerms:5
% 3.22/3.38 %goalClause: 17
% 3.22/3.38 %singleGoalClaCount:1
% 3.22/3.38 [13]P1(f2(a1))
% 3.22/3.38 [17]~E(f2(f2(a1)),f2(a1))
% 3.22/3.38 [14]E(f3(x141,f2(x141)),x141)
% 3.22/3.38 [15]E(f3(f4(x151),x151),x151)
% 3.22/3.38 [16]E(f3(f3(x161,x162),x163),f3(x161,f3(x162,x163)))
% 3.22/3.38 [18]P1(x181)+~P1(f2(x181))
% 3.22/3.38 [19]P1(x191)+~P1(f4(x191))
% 3.22/3.38 [20]~P2(x201,x202)+E(x201,x202)
% 3.22/3.38 [22]P1(x221)+~P2(x222,x221)
% 3.22/3.38 [23]P1(x231)+~P2(x231,x232)
% 3.22/3.38 [25]E(x251,x252)+P1(f5(x251,x252))
% 3.22/3.38 [27]E(f4(x271),f2(x272))+~P1(f3(x272,x271))
% 3.22/3.38 [28]P1(f2(x281))+~P1(f3(x281,x282))
% 3.22/3.38 [29]P1(f4(x291))+~P1(f3(x291,x292))
% 3.22/3.38 [21]~E(x211,x212)+~P1(x211)+P2(x211,x212)
% 3.22/3.38 [26]E(x261,x262)+E(f5(x261,x262),x262)+E(f5(x261,x262),x261)
% 3.22/3.38 [30]~E(f4(x302),f2(x301))+~P1(f2(x301))+P1(f3(x301,x302))
% 3.22/3.38 %EqnAxiom
% 3.22/3.38 [1]E(x11,x11)
% 3.22/3.38 [2]E(x22,x21)+~E(x21,x22)
% 3.22/3.38 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 3.22/3.38 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 3.22/3.38 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 3.22/3.38 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 3.22/3.38 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 3.22/3.38 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 3.22/3.38 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 3.22/3.38 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 3.22/3.38 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 3.22/3.38 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 3.22/3.38
% 3.22/3.38 %-------------------------------------------
% 3.22/3.38 cnf(34,plain,
% 3.22/3.38 (E(x341,f3(x341,f2(x341)))),
% 3.22/3.38 inference(scs_inference,[],[17,14,20,2])).
% 3.22/3.38 cnf(35,plain,
% 3.22/3.38 (~E(f2(a1),a1)),
% 3.22/3.38 inference(scs_inference,[],[17,14,20,2,4])).
% 3.22/3.38 cnf(36,plain,
% 3.22/3.38 (P1(a1)),
% 3.22/3.38 inference(scs_inference,[],[17,14,13,20,2,4,18])).
% 3.22/3.38 cnf(65,plain,
% 3.22/3.38 (P1(f3(f4(f2(a1)),f2(a1)))),
% 3.22/3.38 inference(scs_inference,[],[35,15,13,20,2,10])).
% 3.22/3.38 cnf(146,plain,
% 3.22/3.38 (E(f4(f2(a1)),f2(a1))),
% 3.22/3.38 inference(scs_inference,[],[36,34,10,27])).
% 3.22/3.38 cnf(149,plain,
% 3.22/3.38 (~E(f2(f2(a1)),f4(f2(a1)))),
% 3.22/3.38 inference(scs_inference,[],[36,17,34,10,27,2,3])).
% 3.22/3.38 cnf(284,plain,
% 3.22/3.38 (~P1(f3(f2(a1),f2(a1)))),
% 3.22/3.38 inference(scs_inference,[],[149,2,27])).
% 3.22/3.38 cnf(287,plain,
% 3.22/3.38 (~P2(x2871,f3(f2(a1),f2(a1)))),
% 3.22/3.38 inference(scs_inference,[],[284,23,22])).
% 3.22/3.38 cnf(373,plain,
% 3.22/3.38 ($false),
% 3.22/3.38 inference(scs_inference,[],[287,146,65,21,6]),
% 3.22/3.38 ['proof']).
% 3.22/3.38 % SZS output end Proof
% 3.22/3.38 % Total time :2.670000s
%------------------------------------------------------------------------------