%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT013-4 : 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 : n028.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 04:40:15 EDT 2024
% Result : Unsatisfiable 0.49s 0.64s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : CAT013-4 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n028.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 13:01:08 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.47/0.55 start to proof:theBenchmark
% 0.49/0.64 %-------------------------------------------
% 0.49/0.64 % File :CSE---1.7
% 0.49/0.64 % Problem :theBenchmark
% 0.49/0.64 % Transform :cnf
% 0.49/0.64 % Format :tptp:raw
% 0.49/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.49/0.64
% 0.49/0.64 % Result :Theorem 0.050000s
% 0.49/0.64 % Output :CNFRefutation 0.050000s
% 0.49/0.64 %-------------------------------------------
% 0.49/0.64 %--------------------------------------------------------------------------
% 0.49/0.64 % File : CAT013-4 : TPTP v8.2.0. Released v1.0.0.
% 0.49/0.64 % Domain : Category Theory
% 0.49/0.64 % Problem : domain(codomain(x)) = codomain(x)
% 0.49/0.64 % Version : [Sco79] axioms : Reduced > Complete.
% 0.49/0.64 % English :
% 0.49/0.64
% 0.49/0.64 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.49/0.64 % Source : [TPTP]
% 0.49/0.64 % Names :
% 0.49/0.64
% 0.49/0.64 % Status : Unsatisfiable
% 0.49/0.64 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v2.0.0
% 0.49/0.64 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.49/0.64 % Number of literals : 23 ( 8 equ; 11 neg)
% 0.49/0.64 % Maximal clause size : 3 ( 1 avg)
% 0.49/0.64 % Maximal term depth : 3 ( 1 avg)
% 0.49/0.64 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.49/0.64 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.49/0.64 % Number of variables : 19 ( 2 sgn)
% 0.49/0.64 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.49/0.64
% 0.49/0.64 % Comments : The dependent axioms have been removed.
% 0.49/0.64 %--------------------------------------------------------------------------
% 0.49/0.64 %----Include Scott's axioms for category theory
% 0.49/0.64 include('Axioms/CAT004-0.ax').
% 0.49/0.64 %--------------------------------------------------------------------------
% 0.49/0.64 cnf(assume_codomain_exists,hypothesis,
% 0.49/0.64 there_exists(codomain(a)) ).
% 0.49/0.64
% 0.49/0.64 cnf(prove_domain_of_codomain_is_codomain,negated_conjecture,
% 0.49/0.64 domain(codomain(a)) != codomain(a) ).
% 0.49/0.64
% 0.49/0.64 %--------------------------------------------------------------------------
% 0.49/0.64 %-------------------------------------------
% 0.49/0.64 % Proof found
% 0.49/0.64 % SZS status Theorem for theBenchmark
% 0.49/0.64 % SZS output start Proof
% 0.49/0.64 %ClaNum:23(EqnAxiom:10)
% 0.49/0.64 %VarNum:40(SingletonVarNum:19)
% 0.49/0.64 %MaxLitNum:3
% 0.49/0.64 %MaxfuncDepth:2
% 0.49/0.64 %SharedTerms:5
% 0.49/0.64 %goalClause: 15
% 0.49/0.64 %singleGoalClaCount:1
% 0.49/0.64 [11]P1(f2(a1))
% 0.49/0.64 [15]~E(f3(f2(a1)),f2(a1))
% 0.49/0.64 [12]E(f4(x121,f3(x121)),x121)
% 0.49/0.64 [13]E(f4(f2(x131),x131),x131)
% 0.49/0.64 [14]E(f4(f4(x141,x142),x143),f4(x141,f4(x142,x143)))
% 0.49/0.64 [16]P1(x161)+~P1(f3(x161))
% 0.49/0.64 [17]P1(x171)+~P1(f2(x171))
% 0.49/0.64 [18]~P2(x181,x182)+E(x181,x182)
% 0.49/0.64 [20]P1(x201)+~P2(x201,x202)
% 0.49/0.64 [21]E(f2(x211),f3(x212))+~P1(f4(x212,x211))
% 0.49/0.64 [22]P1(f3(x221))+~P1(f4(x221,x222))
% 0.49/0.64 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.49/0.64 [23]~E(f2(x232),f3(x231))+~P1(f3(x231))+P1(f4(x231,x232))
% 0.49/0.64 %EqnAxiom
% 0.49/0.64 [1]E(x11,x11)
% 0.49/0.64 [2]E(x22,x21)+~E(x21,x22)
% 0.49/0.64 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.49/0.64 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.49/0.64 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 0.49/0.64 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 0.49/0.65 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 0.49/0.65 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.49/0.65 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.49/0.65 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.49/0.65
% 0.49/0.65 %-------------------------------------------
% 0.49/0.65 cnf(27,plain,
% 0.49/0.65 (E(x271,f4(x271,f3(x271)))),
% 0.49/0.65 inference(scs_inference,[],[15,12,18,2])).
% 0.49/0.65 cnf(28,plain,
% 0.49/0.65 (P1(a1)),
% 0.49/0.65 inference(scs_inference,[],[15,12,11,18,2,17])).
% 0.49/0.65 cnf(30,plain,
% 0.49/0.65 (P2(f2(a1),f4(f2(a1),f3(f2(a1))))),
% 0.49/0.65 inference(scs_inference,[],[15,12,11,18,2,17,19])).
% 0.49/0.65 cnf(32,plain,
% 0.49/0.65 (~E(f3(f2(a1)),f4(f2(f2(a1)),f2(a1)))),
% 0.49/0.65 inference(scs_inference,[],[15,12,13,11,18,2,17,19,3])).
% 0.49/0.65 cnf(37,plain,
% 0.49/0.65 (~E(f2(a1),f3(f2(a1)))),
% 0.49/0.65 inference(scs_inference,[],[15,12,13,11,18,2,17,19,3,8,10,9])).
% 0.49/0.65 cnf(40,plain,
% 0.49/0.65 (E(f4(x401,f4(x402,x403)),f4(f4(x401,x402),x403))),
% 0.49/0.65 inference(scs_inference,[],[32,14,18,2])).
% 0.49/0.65 cnf(41,plain,
% 0.49/0.65 (P2(a1,f4(a1,f3(a1)))),
% 0.49/0.65 inference(scs_inference,[],[27,32,28,14,18,2,19])).
% 0.49/0.65 cnf(42,plain,
% 0.49/0.65 (E(x421,f4(x421,f3(x421)))),
% 0.49/0.65 inference(rename_variables,[],[27])).
% 0.49/0.65 cnf(46,plain,
% 0.49/0.65 (~P1(f4(f4(x461,x462),x463))+P1(f4(x461,f4(x462,x463)))),
% 0.49/0.65 inference(scs_inference,[],[27,42,32,28,14,18,2,19,9,8])).
% 0.49/0.65 cnf(47,plain,
% 0.49/0.65 (~P2(f4(f4(x471,x472),x473),x474)+P1(f4(x471,f4(x472,x473)))),
% 0.49/0.65 inference(scs_inference,[],[27,42,32,28,14,18,2,19,9,8,20])).
% 0.49/0.65 cnf(52,plain,
% 0.49/0.65 (E(x521,f4(f2(x521),x521))),
% 0.49/0.65 inference(scs_inference,[],[13,37,18,2])).
% 0.49/0.65 cnf(54,plain,
% 0.49/0.65 (P2(a1,f4(f2(a1),a1))),
% 0.49/0.65 inference(scs_inference,[],[52,28,19])).
% 0.49/0.65 cnf(55,plain,
% 0.49/0.65 (E(x551,f4(f2(x551),x551))),
% 0.49/0.65 inference(rename_variables,[],[52])).
% 0.49/0.65 cnf(57,plain,
% 0.49/0.65 (P2(f4(f2(a1),a1),f4(a1,f3(a1)))),
% 0.49/0.65 inference(scs_inference,[],[52,55,41,28,19,9])).
% 0.49/0.65 cnf(59,plain,
% 0.49/0.65 (~P1(f4(x591,f4(x592,x593)))+P1(f4(f4(x591,x592),x593))),
% 0.49/0.65 inference(scs_inference,[],[52,55,40,41,28,19,9,8])).
% 0.49/0.65 cnf(61,plain,
% 0.49/0.65 (~P2(f4(x611,f4(x612,x613)),x614)+P1(f4(f4(x611,x612),x613))),
% 0.49/0.65 inference(scs_inference,[],[52,55,40,41,28,19,9,8,46,20])).
% 0.49/0.65 cnf(66,plain,
% 0.49/0.65 (~P1(f3(f4(f2(a1),a1)))),
% 0.49/0.65 inference(scs_inference,[],[37,16,21])).
% 0.49/0.65 cnf(69,plain,
% 0.49/0.65 (~P1(f4(f2(a1),f4(a1,x691)))),
% 0.49/0.65 inference(scs_inference,[],[66,22,59])).
% 0.49/0.65 cnf(70,plain,
% 0.49/0.65 (~P2(f4(f2(a1),f4(a1,x701)),x702)),
% 0.49/0.65 inference(scs_inference,[],[66,22,59,61])).
% 0.49/0.65 cnf(72,plain,
% 0.49/0.65 (~P2(f3(f4(f2(a1),a1)),x721)),
% 0.49/0.65 inference(scs_inference,[],[66,22,59,61,20])).
% 0.49/0.65 cnf(74,plain,
% 0.49/0.65 (~E(f2(a1),f4(f2(a1),f4(a1,x741)))),
% 0.49/0.65 inference(scs_inference,[],[30,66,22,59,61,20,9])).
% 0.49/0.65 cnf(77,plain,
% 0.49/0.65 (~E(f2(a1),f4(f4(f2(a1),a1),x771))),
% 0.49/0.65 inference(scs_inference,[],[30,14,66,22,59,61,20,9,47,3])).
% 0.49/0.65 cnf(86,plain,
% 0.49/0.65 (~E(f2(a1),f4(f2(a1),a1))),
% 0.49/0.65 inference(scs_inference,[],[27,77,74,18,3])).
% 0.49/0.65 cnf(92,plain,
% 0.49/0.65 (~P2(f2(a1),f4(f2(a1),a1))),
% 0.49/0.65 inference(scs_inference,[],[86,18])).
% 0.49/0.65 cnf(94,plain,
% 0.49/0.65 (~E(f2(a1),f3(f4(f2(a1),a1)))),
% 0.49/0.65 inference(scs_inference,[],[86,30,72,18,9])).
% 0.49/0.65 cnf(99,plain,
% 0.49/0.65 (~E(a1,f2(a1))),
% 0.49/0.65 inference(scs_inference,[],[92,54,94,18,9])).
% 0.49/0.65 cnf(100,plain,
% 0.49/0.65 (E(f4(x1001,a1),f4(x1001,f4(a1,f3(a1))))),
% 0.49/0.65 inference(scs_inference,[],[41,7,18])).
% 0.49/0.65 cnf(110,plain,
% 0.49/0.65 ($false),
% 0.49/0.65 inference(scs_inference,[],[54,41,69,57,70,100,99,2,18,10,8,9,20]),
% 0.49/0.65 ['proof']).
% 0.49/0.65 % SZS output end Proof
% 0.49/0.65 % Total time :0.050000s
%------------------------------------------------------------------------------