TSTP Solution File: CAT017-4 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : CAT017-4 : 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 : n014.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 18:13:48 EDT 2023
% Result : Unsatisfiable 0.22s 0.69s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n014.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 00:09:02 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.22/0.68 %-------------------------------------------
% 0.22/0.68 % File :CSE---1.6
% 0.22/0.68 % Problem :theBenchmark
% 0.22/0.68 % Transform :cnf
% 0.22/0.68 % Format :tptp:raw
% 0.22/0.68 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.68
% 0.22/0.68 % Result :Theorem 0.030000s
% 0.22/0.68 % Output :CNFRefutation 0.030000s
% 0.22/0.68 %-------------------------------------------
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 % File : CAT017-4 : TPTP v8.1.2. Released v1.0.0.
% 0.22/0.69 % Domain : Category Theory
% 0.22/0.69 % Problem : If x exists, then codomain(x) exists
% 0.22/0.69 % Version : [Sco79] axioms : Reduced > Complete.
% 0.22/0.69 % English :
% 0.22/0.69
% 0.22/0.69 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 0.22/0.69 % Source : [TPTP]
% 0.22/0.69 % Names :
% 0.22/0.69
% 0.22/0.69 % Status : Unsatisfiable
% 0.22/0.69 % 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
% 0.22/0.69 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 0.22/0.69 % Number of literals : 23 ( 7 equ; 11 neg)
% 0.22/0.69 % Maximal clause size : 3 ( 1 avg)
% 0.22/0.69 % Maximal term depth : 3 ( 1 avg)
% 0.22/0.69 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 0.22/0.69 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 0.22/0.69 % Number of variables : 19 ( 2 sgn)
% 0.22/0.69 % SPC : CNF_UNS_RFO_SEQ_HRN
% 0.22/0.69
% 0.22/0.69 % Comments : The dependent axioms have been removed.
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 %----Include Scott's axioms for category theory
% 0.22/0.69 include('Axioms/CAT004-0.ax').
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 cnf(assume_a_exists,hypothesis,
% 0.22/0.69 there_exists(a) ).
% 0.22/0.69
% 0.22/0.69 cnf(prove_codomain_of_a_exists,negated_conjecture,
% 0.22/0.69 ~ there_exists(codomain(a)) ).
% 0.22/0.69
% 0.22/0.69 %--------------------------------------------------------------------------
% 0.22/0.69 %-------------------------------------------
% 0.22/0.69 % Proof found
% 0.22/0.69 % SZS status Theorem for theBenchmark
% 0.22/0.69 % SZS output start Proof
% 0.22/0.69 %ClaNum:23(EqnAxiom:10)
% 0.22/0.69 %VarNum:40(SingletonVarNum:19)
% 0.22/0.69 %MaxLitNum:3
% 0.22/0.69 %MaxfuncDepth:2
% 0.22/0.69 %SharedTerms:4
% 0.22/0.69 %goalClause: 15
% 0.22/0.69 %singleGoalClaCount:1
% 0.22/0.69 [11]P1(a1)
% 0.22/0.69 [15]~P1(f4(a1))
% 0.22/0.69 [12]E(f3(x121,f2(x121)),x121)
% 0.22/0.69 [13]E(f3(f4(x131),x131),x131)
% 0.22/0.69 [14]E(f3(f3(x141,x142),x143),f3(x141,f3(x142,x143)))
% 0.22/0.69 [16]P1(x161)+~P1(f2(x161))
% 0.22/0.69 [17]P1(x171)+~P1(f4(x171))
% 0.22/0.69 [18]~P2(x181,x182)+E(x181,x182)
% 0.22/0.69 [20]P1(x201)+~P2(x201,x202)
% 0.22/0.69 [21]E(f4(x211),f2(x212))+~P1(f3(x212,x211))
% 0.22/0.69 [22]P1(f2(x221))+~P1(f3(x221,x222))
% 0.22/0.69 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 0.22/0.69 [23]~E(f4(x232),f2(x231))+~P1(f2(x231))+P1(f3(x231,x232))
% 0.22/0.69 %EqnAxiom
% 0.22/0.69 [1]E(x11,x11)
% 0.22/0.69 [2]E(x22,x21)+~E(x21,x22)
% 0.22/0.69 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.22/0.69 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.22/0.69 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.22/0.69 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.22/0.69 [7]~E(x71,x72)+E(f4(x71),f4(x72))
% 0.22/0.69 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 0.22/0.69 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 0.22/0.69 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 0.22/0.69
% 0.22/0.69 %-------------------------------------------
% 0.22/0.70 cnf(24,plain,
% 0.22/0.70 (E(x241,f3(x241,f2(x241)))),
% 0.22/0.70 inference(scs_inference,[],[12,2])).
% 0.22/0.70 cnf(25,plain,
% 0.22/0.70 (~P2(f4(a1),x251)),
% 0.22/0.70 inference(scs_inference,[],[15,12,2,20])).
% 0.22/0.70 cnf(28,plain,
% 0.22/0.70 (E(f3(x281,f2(x281)),x281)),
% 0.22/0.70 inference(rename_variables,[],[12])).
% 0.22/0.70 cnf(29,plain,
% 0.22/0.70 (~P1(f4(f4(a1)))),
% 0.22/0.70 inference(scs_inference,[],[15,12,2,20,8,17])).
% 0.22/0.70 cnf(31,plain,
% 0.22/0.70 (~P1(f2(f4(a1)))),
% 0.22/0.70 inference(scs_inference,[],[15,12,2,20,8,17,16])).
% 0.22/0.70 cnf(33,plain,
% 0.22/0.70 (E(f4(f3(x331,f2(x331))),f4(x331))),
% 0.22/0.70 inference(scs_inference,[],[15,12,28,2,20,8,17,16,7])).
% 0.22/0.70 cnf(34,plain,
% 0.22/0.70 (E(f3(x341,f3(x342,f2(x342))),f3(x341,x342))),
% 0.22/0.70 inference(scs_inference,[],[15,12,28,2,20,8,17,16,7,6])).
% 0.22/0.70 cnf(37,plain,
% 0.22/0.70 (~P2(f3(f4(a1),f2(f4(a1))),x371)),
% 0.22/0.70 inference(scs_inference,[],[15,12,28,2,20,8,17,16,7,6,5,4,9])).
% 0.22/0.70 cnf(41,plain,
% 0.22/0.70 (~P1(f3(f4(a1),x411))),
% 0.22/0.70 inference(scs_inference,[],[31,22])).
% 0.22/0.70 cnf(43,plain,
% 0.22/0.70 (E(f3(f3(x431,x432),f2(x432)),f3(x431,x432))),
% 0.22/0.70 inference(scs_inference,[],[14,34,31,22,3])).
% 0.22/0.70 cnf(48,plain,
% 0.22/0.70 (~E(a1,f4(a1))),
% 0.22/0.70 inference(scs_inference,[],[15,11,14,33,34,25,31,22,3,9,8])).
% 0.22/0.70 cnf(52,plain,
% 0.22/0.70 (~P2(a1,f4(a1))),
% 0.22/0.70 inference(scs_inference,[],[15,11,14,24,33,34,25,31,22,3,9,8,19,18])).
% 0.22/0.70 cnf(54,plain,
% 0.22/0.70 (~P2(a1,f3(f4(f4(a1)),f4(a1)))),
% 0.22/0.70 inference(scs_inference,[],[15,11,14,13,24,33,34,25,31,22,3,9,8,19,18,10])).
% 0.22/0.70 cnf(55,plain,
% 0.22/0.70 (~E(f4(a1),a1)),
% 0.22/0.70 inference(scs_inference,[],[15,11,14,13,24,33,34,25,31,22,3,9,8,19,18,10,2])).
% 0.22/0.70 cnf(57,plain,
% 0.22/0.70 (E(x571,f3(x571,f2(x571)))),
% 0.22/0.70 inference(rename_variables,[],[24])).
% 0.22/0.70 cnf(58,plain,
% 0.22/0.70 (P2(a1,f3(a1,f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[11,24,57,55,3,19])).
% 0.22/0.70 cnf(64,plain,
% 0.22/0.70 (P2(a1,a1)),
% 0.22/0.70 inference(scs_inference,[],[11,24,57,14,12,37,55,3,19,2,9,10])).
% 0.22/0.70 cnf(66,plain,
% 0.22/0.70 (E(f3(f4(x661),x661),f3(x661,f2(x661)))),
% 0.22/0.70 inference(scs_inference,[],[24,13,3])).
% 0.22/0.70 cnf(67,plain,
% 0.22/0.70 (E(f3(f4(x671),x671),x671)),
% 0.22/0.70 inference(rename_variables,[],[13])).
% 0.22/0.70 cnf(69,plain,
% 0.22/0.70 (E(f3(f4(x691),x691),x691)),
% 0.22/0.70 inference(rename_variables,[],[13])).
% 0.22/0.70 cnf(73,plain,
% 0.22/0.70 (~E(f3(f4(f4(a1)),f4(a1)),f3(a1,f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[24,13,67,69,58,54,15,3,8,9,10,2])).
% 0.22/0.70 cnf(77,plain,
% 0.22/0.70 (E(x771,f3(x771,f2(x771)))),
% 0.22/0.70 inference(rename_variables,[],[24])).
% 0.22/0.70 cnf(78,plain,
% 0.22/0.70 (~P1(f3(f3(f4(a1),x781),x782))),
% 0.22/0.70 inference(scs_inference,[],[14,24,73,41,3,8])).
% 0.22/0.70 cnf(79,plain,
% 0.22/0.70 (E(f3(f3(x791,x792),x793),f3(x791,f3(x792,x793)))),
% 0.22/0.70 inference(rename_variables,[],[14])).
% 0.22/0.70 cnf(80,plain,
% 0.22/0.70 (~P1(f3(f4(a1),x801))),
% 0.22/0.70 inference(rename_variables,[],[41])).
% 0.22/0.70 cnf(82,plain,
% 0.22/0.70 (E(x821,f3(x821,f2(x821)))),
% 0.22/0.70 inference(rename_variables,[],[24])).
% 0.22/0.70 cnf(85,plain,
% 0.22/0.70 (E(x851,f3(f4(x851),x851))),
% 0.22/0.70 inference(scs_inference,[],[12,14,24,77,13,73,41,64,52,3,8,9,10,2])).
% 0.22/0.70 cnf(88,plain,
% 0.22/0.70 (P1(f3(a1,f2(a1)))),
% 0.22/0.70 inference(scs_inference,[],[12,14,24,77,13,73,41,80,64,52,3,8,9,10,2,17,20])).
% 0.22/0.70 cnf(94,plain,
% 0.22/0.70 (E(f3(x941,x942),f3(f3(x941,f2(x941)),x942))),
% 0.22/0.70 inference(scs_inference,[],[12,14,24,77,82,13,73,41,80,64,52,3,8,9,10,2,17,20,16,7,6,5])).
% 0.22/0.70 cnf(100,plain,
% 0.22/0.70 (P1(f2(a1))),
% 0.22/0.70 inference(scs_inference,[],[12,14,79,24,77,82,13,73,41,80,64,52,3,8,9,10,2,17,20,16,7,6,5,4,19,21,22])).
% 0.22/0.70 cnf(106,plain,
% 0.22/0.70 (~E(f2(a1),f3(f3(f4(a1),x1061),x1062))),
% 0.22/0.70 inference(scs_inference,[],[24,78,48,100,20,3,8])).
% 0.22/0.70 cnf(114,plain,
% 0.22/0.70 (E(f3(f3(f4(x1141),x1141),f2(x1141)),x1141)),
% 0.22/0.70 inference(scs_inference,[],[13,29,43,20,3])).
% 0.22/0.70 cnf(116,plain,
% 0.22/0.70 (E(f3(x1161,f2(x1161)),f3(f4(x1161),x1161))),
% 0.22/0.70 inference(scs_inference,[],[13,29,66,43,20,3,2])).
% 0.22/0.70 cnf(119,plain,
% 0.22/0.70 (~E(f2(a1),f3(f3(f4(a1),x1191),x1192))),
% 0.22/0.70 inference(rename_variables,[],[106])).
% 0.22/0.70 cnf(120,plain,
% 0.22/0.70 (~E(f3(f3(f4(a1),x1201),x1202),f2(a1))),
% 0.22/0.70 inference(scs_inference,[],[94,106,119,3,2])).
% 0.22/0.70 cnf(136,plain,
% 0.22/0.70 ($false),
% 0.22/0.70 inference(scs_inference,[],[14,29,24,114,116,85,88,120,41,100,3,2,17,16,7,6,4,5,19,8]),
% 0.22/0.70 ['proof']).
% 0.22/0.70 % SZS output end Proof
% 0.22/0.70 % Total time :0.030000s
%------------------------------------------------------------------------------