%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT016-4 : 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 : n021.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 0.54s 0.62s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT016-4 : TPTP v8.2.0. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jun 18 12:44:23 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.47/0.57 start to proof:theBenchmark
% 0.54/0.61 %-------------------------------------------
% 0.54/0.61 % File :CSE---1.7
% 0.54/0.61 % Problem :theBenchmark
% 0.54/0.61 % Transform :cnf
% 0.54/0.61 % Format :tptp:raw
% 0.54/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.61
% 0.54/0.61 % Result :Theorem 0.000000s
% 0.54/0.61 % Output :CNFRefutation 0.000000s
% 0.54/0.61 %-------------------------------------------
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 % File : CAT016-4 : TPTP v8.2.0. Released v1.0.0.
% 0.54/0.62 % Domain : Category Theory
% 0.54/0.62 % Problem : If x exists, then domain(x) exists
% 0.54/0.62 % Version : [Sco79] axioms : Reduced > Complete.
% 0.54/0.62 % English :
% 0.54/0.62
% 0.54/0.62 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.54/0.62 % Source : [TPTP]
% 0.54/0.62 % Names :
% 0.54/0.62
% 0.54/0.62 % Status : Unsatisfiable
% 0.54/0.62 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v2.0.0
% 0.54/0.62 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.54/0.62 % Number of literals : 23 ( 7 equ; 11 neg)
% 0.54/0.62 % Maximal clause size : 3 ( 1 avg)
% 0.54/0.62 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.62 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.54/0.62 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.54/0.62 % Number of variables : 19 ( 2 sgn)
% 0.54/0.62 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.54/0.62
% 0.54/0.62 % Comments : The dependent axioms have been removed.
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 %----Include Scott's axioms for category theory
% 0.54/0.62 include('Axioms/CAT004-0.ax').
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 cnf(assume_a_exists,hypothesis,
% 0.54/0.62 there_exists(a) ).
% 0.54/0.62
% 0.54/0.62 cnf(prove_domain_of_a_exists,negated_conjecture,
% 0.54/0.62 ~ there_exists(domain(a)) ).
% 0.54/0.62
% 0.54/0.62 %--------------------------------------------------------------------------
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 % Proof found
% 0.54/0.62 % SZS status Theorem for theBenchmark
% 0.54/0.62 % SZS output start Proof
% 0.54/0.62 %ClaNum:23(EqnAxiom:10)
% 0.54/0.62 %VarNum:40(SingletonVarNum:19)
% 0.54/0.62 %MaxLitNum:3
% 0.54/0.62 %MaxfuncDepth:2
% 0.54/0.62 %SharedTerms:4
% 0.54/0.62 %goalClause: 15
% 0.54/0.62 %singleGoalClaCount:1
% 0.54/0.62 [11]P1(a1)
% 0.54/0.62 [15]~P1(f2(a1))
% 0.54/0.62 [12]E(f3(x121,f2(x121)),x121)
% 0.54/0.62 [13]E(f3(f4(x131),x131),x131)
% 0.54/0.62 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 0.54/0.62 [16]P1(x161)+~P1(f2(x161))
% 0.54/0.62 [17]P1(x171)+~P1(f4(x171))
% 0.54/0.62 [18]~P2(x181,x182)+E(x181,x182)
% 0.54/0.62 [20]P1(x201)+~P2(x201,x202)
% 0.54/0.62 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 0.54/0.62 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 0.54/0.62 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.54/0.62 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 0.54/0.62 %EqnAxiom
% 0.54/0.62 [1]E(x11,x11)
% 0.54/0.62 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.62 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.62 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.54/0.62 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.54/0.62 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.54/0.62 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.54/0.62 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.54/0.62 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.54/0.62 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.54/0.62
% 0.54/0.62 %-------------------------------------------
% 0.54/0.62 cnf(27,plain,
% 0.54/0.62 (~P1(f3(a1,x271))),
% 0.54/0.62 inference(scs_inference,[],[15,20,22])).
% 0.54/0.62 cnf(29,plain,
% 0.54/0.62 (E(x291,f3(x291,f2(x291)))),
% 0.54/0.62 inference(scs_inference,[],[15,12,20,22,2])).
% 0.54/0.62 cnf(30,plain,
% 0.54/0.62 (~P1(f3(f2(a1),f2(f2(a1))))),
% 0.54/0.62 inference(scs_inference,[],[15,12,20,22,2,8])).
% 0.54/0.62 cnf(32,plain,
% 0.54/0.62 (P2(a1,x321)+~E(a1,x321)),
% 0.54/0.62 inference(scs_inference,[],[15,11,12,20,22,2,8,19])).
% 0.54/0.62 cnf(34,plain,
% 0.54/0.62 (~E(a1,x341)+~E(a1,f2(a1))),
% 0.54/0.62 inference(scs_inference,[],[15,11,12,20,22,2,8,19,9])).
% 0.54/0.62 cnf(39,plain,
% 0.54/0.62 (~E(a1,f2(a1))),
% 0.54/0.62 inference(factoring_inference,[],[34])).
% 0.54/0.62 cnf(42,plain,
% 0.54/0.62 (E(x421,f3(x421,f2(x421)))),
% 0.54/0.62 inference(rename_variables,[],[29])).
% 0.54/0.62 cnf(50,plain,
% 0.54/0.62 (E(x501,f3(x501,f2(x501)))),
% 0.54/0.62 inference(rename_variables,[],[29])).
% 0.54/0.62 cnf(51,plain,
% 0.54/0.62 ($false),
% 0.54/0.62 inference(scs_inference,[],[30,27,29,42,50,39,13,11,32,18,20,2,3,8]),
% 0.54/0.62 ['proof']).
% 0.54/0.63 % SZS output end Proof
% 0.54/0.63 % Total time :0.000000s
%------------------------------------------------------------------------------