TSTP Solution File: CAT012-4 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 18:13:45 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n004.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 00:29:07 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % File :CSE---1.6
% 0.21/0.64 % Problem :theBenchmark
% 0.21/0.64 % Transform :cnf
% 0.21/0.64 % Format :tptp:raw
% 0.21/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.21/0.64
% 0.21/0.64 % Result :Theorem 0.010000s
% 0.21/0.64 % Output :CNFRefutation 0.010000s
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 % File : CAT012-4 : TPTP v8.1.2. Released v1.0.0.
% 0.21/0.64 % Domain : Category Theory
% 0.21/0.64 % Problem : codomain(domain(x)) = domain(x)
% 0.21/0.64 % Version : [Sco79] axioms : Reduced > Complete.
% 0.21/0.64 % English :
% 0.21/0.64
% 0.21/0.64 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.21/0.64 % Source : [TPTP]
% 0.21/0.64 % Names :
% 0.21/0.64
% 0.21/0.64 % Status : Unsatisfiable
% 0.21/0.64 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.14 v3.1.0, 0.11 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.00 v2.0.0
% 0.21/0.64 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.21/0.64 % Number of literals : 23 ( 8 equ; 11 neg)
% 0.21/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.21/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.21/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.21/0.64 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.21/0.64 % Number of variables : 19 ( 2 sgn)
% 0.21/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.21/0.64
% 0.21/0.64 % Comments : The dependent axioms have been removed.
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %----Include Scott's axioms for category theory
% 0.21/0.64 include('Axioms/CAT004-0.ax').
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 cnf(assume_domain_exists,hypothesis,
% 0.21/0.64 there_exists(domain(a)) ).
% 0.21/0.64
% 0.21/0.64 cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
% 0.21/0.64 codomain(domain(a)) != domain(a) ).
% 0.21/0.64
% 0.21/0.64 %--------------------------------------------------------------------------
% 0.21/0.64 %-------------------------------------------
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark
% 0.21/0.64 % SZS output start Proof
% 0.21/0.64 %ClaNum:23(EqnAxiom:10)
% 0.21/0.64 %VarNum:40(SingletonVarNum:19)
% 0.21/0.64 %MaxLitNum:3
% 0.21/0.64 %MaxfuncDepth:2
% 0.21/0.64 %SharedTerms:5
% 0.21/0.64 %goalClause: 15
% 0.21/0.64 %singleGoalClaCount:1
% 0.21/0.64 [11]P1(f2(a1))
% 0.21/0.64 [15]~E(f4(f2(a1)),f2(a1))
% 0.21/0.64 [12]E(f3(x121,f2(x121)),x121)
% 0.21/0.64 [13]E(f3(f4(x131),x131),x131)
% 0.21/0.64 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 0.21/0.64 [16]P1(x161)+~P1(f2(x161))
% 0.21/0.64 [17]P1(x171)+~P1(f4(x171))
% 0.21/0.64 [18]~P2(x181,x182)+E(x181,x182)
% 0.21/0.64 [20]P1(x201)+~P2(x201,x202)
% 0.21/0.64 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 0.21/0.64 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 0.21/0.64 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.21/0.65 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 0.21/0.65 %EqnAxiom
% 0.21/0.65 [1]E(x11,x11)
% 0.21/0.65 [2]E(x22,x21)+~E(x21,x22)
% 0.21/0.65 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.21/0.65 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.21/0.65 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.21/0.65 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.21/0.65 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.21/0.65 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.21/0.65 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.21/0.65 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.21/0.65
% 0.21/0.65 %-------------------------------------------
% 0.21/0.65 cnf(24,plain,
% 0.21/0.65 (E(x241,f3(x241,f2(x241)))),
% 0.21/0.65 inference(scs_inference,[],[12,2])).
% 0.21/0.65 cnf(27,plain,
% 0.21/0.65 (P1(a1)),
% 0.21/0.65 inference(scs_inference,[],[15,11,12,2,18,16])).
% 0.21/0.65 cnf(31,plain,
% 0.21/0.65 (E(f3(f4(x311),x311),x311)),
% 0.21/0.65 inference(rename_variables,[],[13])).
% 0.21/0.65 cnf(40,plain,
% 0.21/0.65 (~P1(f3(a1,f2(a1)))),
% 0.21/0.65 inference(scs_inference,[],[15,11,12,13,31,2,18,16,8,3,19,7,6,5,4,22,21])).
% 0.21/0.65 cnf(49,plain,
% 0.21/0.65 (~P2(f3(a1,f2(a1)),x491)),
% 0.21/0.65 inference(scs_inference,[],[40,17,20])).
% 0.21/0.65 cnf(66,plain,
% 0.21/0.65 (E(x661,f3(x661,f2(x661)))),
% 0.21/0.65 inference(rename_variables,[],[24])).
% 0.21/0.65 cnf(67,plain,
% 0.21/0.65 ($false),
% 0.21/0.65 inference(scs_inference,[],[24,66,14,49,27,40,2,9,8]),
% 0.21/0.65 ['proof']).
% 0.21/0.65 % SZS output end Proof
% 0.21/0.65 % Total time :0.010000s
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