%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT011-4 : 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 : n005.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 5.40s 5.54s
% Output : CNFRefutation 5.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : CAT011-4 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jun 18 12:10:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.46/0.54 start to proof:theBenchmark
% 5.40/5.53 %-------------------------------------------
% 5.40/5.53 % File :CSE---1.7
% 5.40/5.53 % Problem :theBenchmark
% 5.40/5.53 % Transform :cnf
% 5.40/5.53 % Format :tptp:raw
% 5.40/5.53 % Command :java -jar mcs_scs.jar %d %s
% 5.40/5.53
% 5.40/5.53 % Result :Theorem 4.960000s
% 5.40/5.53 % Output :CNFRefutation 4.960000s
% 5.40/5.53 %-------------------------------------------
% 5.40/5.53 %--------------------------------------------------------------------------
% 5.40/5.54 % File : CAT011-4 : TPTP v8.2.0. Released v1.0.0.
% 5.40/5.54 % Domain : Category Theory
% 5.40/5.54 % Problem : domain(domain(x)) = domain(x)
% 5.40/5.54 % Version : [Sco79] axioms : Reduced > Complete.
% 5.40/5.54 % English :
% 5.40/5.54
% 5.40/5.54 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 5.40/5.54 % Source : [TPTP]
% 5.40/5.54 % Names :
% 5.40/5.54
% 5.40/5.54 % Status : Unsatisfiable
% 5.40/5.54 % Rating : 0.00 v6.0.0, 0.11 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.25 v5.2.0, 0.12 v5.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 5.40/5.54 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 5.40/5.54 % Number of literals : 23 ( 8 equ; 11 neg)
% 5.40/5.54 % Maximal clause size : 3 ( 1 avg)
% 5.40/5.54 % Maximal term depth : 3 ( 1 avg)
% 5.40/5.54 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 5.40/5.54 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 5.40/5.54 % Number of variables : 19 ( 2 sgn)
% 5.40/5.54 % SPC : CNF_UNS_RFO_SEQ_HRN
% 5.40/5.54
% 5.40/5.54 % Comments : The dependent axioms have been removed.
% 5.40/5.54 %--------------------------------------------------------------------------
% 5.40/5.54 %----Include Scott's axioms for category theory
% 5.40/5.54 include('Axioms/CAT004-0.ax').
% 5.40/5.54 %--------------------------------------------------------------------------
% 5.40/5.54 cnf(assume_domain_exists,hypothesis,
% 5.40/5.54 there_exists(domain(a)) ).
% 5.40/5.54
% 5.40/5.54 cnf(prove_domain_is_idempotent,negated_conjecture,
% 5.40/5.54 domain(domain(a)) != domain(a) ).
% 5.40/5.54
% 5.40/5.54 %--------------------------------------------------------------------------
% 5.40/5.54 %-------------------------------------------
% 5.40/5.54 % Proof found
% 5.40/5.54 % SZS status Theorem for theBenchmark
% 5.40/5.54 % SZS output start Proof
% 5.40/5.54 %ClaNum:23(EqnAxiom:10)
% 5.40/5.54 %VarNum:40(SingletonVarNum:19)
% 5.40/5.54 %MaxLitNum:3
% 5.40/5.54 %MaxfuncDepth:2
% 5.40/5.54 %SharedTerms:5
% 5.40/5.54 %goalClause: 15
% 5.40/5.54 %singleGoalClaCount:1
% 5.40/5.54 [11]P1(f2(a1))
% 5.40/5.54 [15]~E(f2(f2(a1)),f2(a1))
% 5.40/5.54 [12]E(f3(x121,f2(x121)),x121)
% 5.40/5.54 [13]E(f3(f4(x131),x131),x131)
% 5.40/5.54 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 5.40/5.54 [16]P1(x161)+~P1(f2(x161))
% 5.40/5.54 [17]P1(x171)+~P1(f4(x171))
% 5.40/5.54 [18]~P2(x181,x182)+E(x181,x182)
% 5.40/5.54 [20]P1(x201)+~P2(x201,x202)
% 5.40/5.54 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 5.40/5.54 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 5.40/5.54 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 5.40/5.54 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 5.40/5.54 %EqnAxiom
% 5.40/5.54 [1]E(x11,x11)
% 5.40/5.54 [2]E(x22,x21)+~E(x21,x22)
% 5.40/5.54 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 5.40/5.54 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 5.40/5.54 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 5.40/5.54 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 5.40/5.54 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 5.40/5.54 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 5.40/5.54 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 5.40/5.54 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 5.40/5.54
% 5.40/5.54 %-------------------------------------------
% 5.48/5.54 cnf(27,plain,
% 5.48/5.54 (E(x271,f3(x271,f2(x271)))),
% 5.48/5.54 inference(scs_inference,[],[15,12,18,2])).
% 5.48/5.54 cnf(28,plain,
% 5.48/5.54 (~E(f2(a1),a1)),
% 5.48/5.54 inference(scs_inference,[],[15,12,18,2,4])).
% 5.48/5.54 cnf(29,plain,
% 5.48/5.54 (P1(a1)),
% 5.48/5.54 inference(scs_inference,[],[15,12,11,18,2,4,16])).
% 5.48/5.54 cnf(31,plain,
% 5.48/5.54 (P2(f2(a1),f3(f2(a1),f2(f2(a1))))),
% 5.48/5.54 inference(scs_inference,[],[15,12,11,18,2,4,16,19])).
% 5.48/5.54 cnf(56,plain,
% 5.48/5.54 (P1(f3(f4(f2(a1)),f2(a1)))),
% 5.48/5.54 inference(scs_inference,[],[28,31,13,11,18,2,10,8])).
% 5.48/5.54 cnf(83,plain,
% 5.48/5.54 (P2(f3(f4(f2(a1)),f2(a1)),f2(a1))),
% 5.48/5.54 inference(scs_inference,[],[13,56,19])).
% 5.48/5.54 cnf(152,plain,
% 5.48/5.54 (E(f4(f2(a1)),f2(a1))),
% 5.48/5.54 inference(scs_inference,[],[29,27,8,21])).
% 5.48/5.54 cnf(155,plain,
% 5.48/5.54 (~E(f2(f2(a1)),f4(f2(a1)))),
% 5.48/5.54 inference(scs_inference,[],[29,15,27,8,21,2,3])).
% 5.48/5.54 cnf(432,plain,
% 5.48/5.54 (~P1(f3(f2(a1),f2(a1)))),
% 5.48/5.54 inference(scs_inference,[],[155,2,21])).
% 5.48/5.54 cnf(433,plain,
% 5.48/5.54 (~P2(f3(f2(a1),f2(a1)),x4331)),
% 5.48/5.54 inference(scs_inference,[],[432,20])).
% 5.48/5.54 cnf(445,plain,
% 5.48/5.54 ($false),
% 5.48/5.54 inference(scs_inference,[],[433,83,152,9,6]),
% 5.48/5.54 ['proof']).
% 5.48/5.54 % SZS output end Proof
% 5.48/5.54 % Total time :4.960000s
%------------------------------------------------------------------------------