%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT012-4 : 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 : n026.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 0.69s 0.83s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : CAT012-4 : TPTP v8.2.0. Released v1.0.0.
% 0.09/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.34 % Computer : n026.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue Jun 18 12:31:24 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 0.69/0.83 %-------------------------------------------
% 0.69/0.83 % File :CSE---1.7
% 0.69/0.83 % Problem :theBenchmark
% 0.69/0.83 % Transform :cnf
% 0.69/0.83 % Format :tptp:raw
% 0.69/0.83 % Command :java -jar mcs_scs.jar %d %s
% 0.69/0.83
% 0.69/0.83 % Result :Theorem 0.250000s
% 0.69/0.83 % Output :CNFRefutation 0.250000s
% 0.69/0.83 %-------------------------------------------
% 0.69/0.83 %--------------------------------------------------------------------------
% 0.69/0.83 % File : CAT012-4 : TPTP v8.2.0. Released v1.0.0.
% 0.69/0.83 % Domain : Category Theory
% 0.69/0.83 % Problem : codomain(domain(x)) = domain(x)
% 0.69/0.83 % Version : [Sco79] axioms : Reduced > Complete.
% 0.69/0.83 % English :
% 0.69/0.83
% 0.69/0.83 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.69/0.83 % Source : [TPTP]
% 0.69/0.83 % Names :
% 0.69/0.83
% 0.69/0.83 % Status : Unsatisfiable
% 0.69/0.83 % 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
% 0.69/0.83 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.69/0.83 % Number of literals : 23 ( 8 equ; 11 neg)
% 0.69/0.83 % Maximal clause size : 3 ( 1 avg)
% 0.69/0.83 % Maximal term depth : 3 ( 1 avg)
% 0.69/0.83 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.69/0.83 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.69/0.83 % Number of variables : 19 ( 2 sgn)
% 0.69/0.83 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.69/0.83
% 0.69/0.83 % Comments : The dependent axioms have been removed.
% 0.69/0.83 %--------------------------------------------------------------------------
% 0.69/0.83 %----Include Scott's axioms for category theory
% 0.69/0.83 include('Axioms/CAT004-0.ax').
% 0.69/0.83 %--------------------------------------------------------------------------
% 0.69/0.83 cnf(assume_domain_exists,hypothesis,
% 0.69/0.83 there_exists(domain(a)) ).
% 0.69/0.83
% 0.69/0.83 cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
% 0.69/0.83 codomain(domain(a)) != domain(a) ).
% 0.69/0.83
% 0.69/0.83 %--------------------------------------------------------------------------
% 0.69/0.83 %-------------------------------------------
% 0.69/0.83 % Proof found
% 0.69/0.83 % SZS status Theorem for theBenchmark
% 0.69/0.83 % SZS output start Proof
% 0.69/0.84 %ClaNum:23(EqnAxiom:10)
% 0.69/0.84 %VarNum:40(SingletonVarNum:19)
% 0.69/0.84 %MaxLitNum:3
% 0.69/0.84 %MaxfuncDepth:2
% 0.69/0.84 %SharedTerms:5
% 0.69/0.84 %goalClause: 15
% 0.69/0.84 %singleGoalClaCount:1
% 0.69/0.84 [11]P1(f2(a1))
% 0.69/0.84 [15]~E(f4(f2(a1)),f2(a1))
% 0.69/0.84 [12]E(f3(x121,f2(x121)),x121)
% 0.69/0.84 [13]E(f3(f4(x131),x131),x131)
% 0.69/0.84 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 0.69/0.84 [16]P1(x161)+~P1(f2(x161))
% 0.69/0.84 [17]P1(x171)+~P1(f4(x171))
% 0.69/0.84 [18]~P2(x181,x182)+E(x181,x182)
% 0.69/0.84 [20]P1(x201)+~P2(x201,x202)
% 0.69/0.84 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 0.69/0.84 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 0.69/0.84 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.69/0.84 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 0.69/0.84 %EqnAxiom
% 0.69/0.84 [1]E(x11,x11)
% 0.69/0.84 [2]E(x22,x21)+~E(x21,x22)
% 0.69/0.84 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.69/0.84 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.69/0.84 [5]~E(x51,x52)+E(f4(x51),f4(x52))
% 0.69/0.84 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.69/0.84 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.69/0.84 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.69/0.84 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.69/0.84 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.69/0.84
% 0.69/0.84 %-------------------------------------------
% 0.69/0.84 cnf(27,plain,
% 0.69/0.84 (E(x271,f3(x271,f2(x271)))),
% 0.69/0.84 inference(scs_inference,[],[15,12,18,2])).
% 0.69/0.84 cnf(28,plain,
% 0.69/0.84 (P1(a1)),
% 0.69/0.84 inference(scs_inference,[],[15,12,11,18,2,16])).
% 0.69/0.84 cnf(230,plain,
% 0.69/0.84 ($false),
% 0.69/0.84 inference(scs_inference,[],[28,15,27,8,21]),
% 0.69/0.84 ['proof']).
% 0.69/0.84 % SZS output end Proof
% 0.69/0.84 % Total time :0.250000s
%------------------------------------------------------------------------------