%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : CAT014-4 : 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 : n024.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 04:40:16 EDT 2024
% Result : Unsatisfiable 63.05s 63.18s
% Output : CNFRefutation 63.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT014-4 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 12:13:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 63.05/63.17 %-------------------------------------------
% 63.05/63.17 % File :CSE---1.7
% 63.05/63.17 % Problem :theBenchmark
% 63.05/63.17 % Transform :cnf
% 63.05/63.17 % Format :tptp:raw
% 63.05/63.17 % Command :java -jar mcs_scs.jar %d %s
% 63.05/63.17
% 63.05/63.17 % Result :Theorem 62.570000s
% 63.05/63.17 % Output :CNFRefutation 62.570000s
% 63.05/63.17 %-------------------------------------------
% 63.05/63.18 %--------------------------------------------------------------------------
% 63.05/63.18 % File : CAT014-4 : TPTP v8.2.0. Released v1.0.0.
% 63.05/63.18 % Domain : Category Theory
% 63.05/63.18 % Problem : codomain(codomain(x)) = codomain(x)
% 63.05/63.18 % Version : [Sco79] axioms : Reduced > Complete.
% 63.05/63.18 % English :
% 63.05/63.18
% 63.05/63.18 % Refs : [Sco79] Scott (1979), Identity and Existence in Intuitionist L
% 63.05/63.18 % Source : [TPTP]
% 63.05/63.18 % Names :
% 63.05/63.18
% 63.05/63.18 % Status : Unsatisfiable
% 63.05/63.18 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.00 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.33 v3.7.0, 0.17 v3.3.0, 0.14 v3.1.0, 0.22 v2.7.0, 0.17 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.17 v2.2.1, 0.11 v2.2.0, 0.14 v2.1.0, 0.20 v2.0.0
% 63.05/63.18 % Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 10 RR)
% 63.05/63.18 % Number of literals : 23 ( 8 equ; 11 neg)
% 63.05/63.18 % Maximal clause size : 3 ( 1 avg)
% 63.05/63.18 % Maximal term depth : 3 ( 1 avg)
% 63.05/63.18 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 63.05/63.18 % Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% 63.05/63.18 % Number of variables : 19 ( 2 sgn)
% 63.05/63.18 % SPC : CNF_UNS_RFO_SEQ_HRN
% 63.05/63.18
% 63.05/63.18 % Comments : The dependent axioms have been removed.
% 63.05/63.18 %--------------------------------------------------------------------------
% 63.05/63.18 %----Include Scott's axioms for category theory
% 63.05/63.18 include('Axioms/CAT004-0.ax').
% 63.05/63.18 %--------------------------------------------------------------------------
% 63.05/63.18 cnf(assume_codomain_exists,hypothesis,
% 63.05/63.18 there_exists(codomain(a)) ).
% 63.05/63.18
% 63.05/63.18 cnf(prove_codomain_is_idempotent,negated_conjecture,
% 63.05/63.18 codomain(codomain(a)) != codomain(a) ).
% 63.05/63.18
% 63.05/63.18 %--------------------------------------------------------------------------
% 63.05/63.18 %-------------------------------------------
% 63.05/63.18 % Proof found
% 63.05/63.18 % SZS status Theorem for theBenchmark
% 63.05/63.18 % SZS output start Proof
% 63.17/63.18 %ClaNum:23(EqnAxiom:10)
% 63.17/63.18 %VarNum:40(SingletonVarNum:19)
% 63.17/63.18 %MaxLitNum:3
% 63.17/63.18 %MaxfuncDepth:2
% 63.17/63.18 %SharedTerms:5
% 63.17/63.18 %goalClause: 15
% 63.17/63.19 %singleGoalClaCount:1
% 63.17/63.19 [11]P1(f2(a1))
% 63.17/63.19 [15]~E(f2(f2(a1)),f2(a1))
% 63.17/63.19 [12]E(f4(x121,f3(x121)),x121)
% 63.17/63.19 [13]E(f4(f2(x131),x131),x131)
% 63.17/63.19 [14]E(f4(f4(x141,x142),x143),f4(x141,f4(x142,x143)))
% 63.17/63.19 [16]P1(x161)+~P1(f3(x161))
% 63.17/63.19 [17]P1(x171)+~P1(f2(x171))
% 63.17/63.19 [18]~P2(x181,x182)+E(x181,x182)
% 63.17/63.19 [20]P1(x201)+~P2(x201,x202)
% 63.17/63.19 [21]E(f2(x211),f3(x212))+~P1(f4(x212,x211))
% 63.17/63.19 [22]P1(f3(x221))+~P1(f4(x221,x222))
% 63.17/63.19 [19]~E(x191,x192)+~P1(x191)+P2(x191,x192)
% 63.17/63.19 [23]~E(f2(x232),f3(x231))+~P1(f3(x231))+P1(f4(x231,x232))
% 63.17/63.19 %EqnAxiom
% 63.17/63.19 [1]E(x11,x11)
% 63.17/63.19 [2]E(x22,x21)+~E(x21,x22)
% 63.17/63.19 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 63.17/63.19 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 63.17/63.19 [5]~E(x51,x52)+E(f3(x51),f3(x52))
% 63.17/63.19 [6]~E(x61,x62)+E(f4(x61,x63),f4(x62,x63))
% 63.17/63.19 [7]~E(x71,x72)+E(f4(x73,x71),f4(x73,x72))
% 63.17/63.19 [8]~P1(x81)+P1(x82)+~E(x81,x82)
% 63.17/63.19 [9]P2(x92,x93)+~E(x91,x92)+~P2(x91,x93)
% 63.17/63.19 [10]P2(x103,x102)+~E(x101,x102)+~P2(x103,x101)
% 63.17/63.19
% 63.17/63.19 %-------------------------------------------
% 63.17/63.19 cnf(27,plain,
% 63.17/63.19 (E(x271,f4(x271,f3(x271)))),
% 63.17/63.19 inference(scs_inference,[],[15,12,18,2])).
% 63.17/63.19 cnf(28,plain,
% 63.17/63.19 (~E(f2(a1),a1)),
% 63.17/63.19 inference(scs_inference,[],[15,12,18,2,4])).
% 63.17/63.19 cnf(29,plain,
% 63.17/63.19 (P1(a1)),
% 63.17/63.19 inference(scs_inference,[],[15,12,11,18,2,4,17])).
% 63.17/63.19 cnf(33,plain,
% 63.17/63.19 (~E(f2(f2(a1)),f4(f2(f2(a1)),f2(a1)))),
% 63.17/63.19 inference(scs_inference,[],[15,12,13,11,18,2,4,17,19,3])).
% 63.17/63.19 cnf(38,plain,
% 63.17/63.19 (~E(f2(a1),f2(f2(a1)))),
% 63.17/63.19 inference(scs_inference,[],[15,12,13,11,18,2,4,17,19,3,8,10,9])).
% 63.17/63.19 cnf(41,plain,
% 63.17/63.19 (~E(a1,f2(a1))),
% 63.17/63.19 inference(scs_inference,[],[33,38,18,4])).
% 63.17/63.19 cnf(42,plain,
% 63.17/63.19 (E(f4(x421,f4(x422,x423)),f4(f4(x421,x422),x423))),
% 63.17/63.19 inference(scs_inference,[],[33,38,14,18,4,2])).
% 63.17/63.19 cnf(43,plain,
% 63.17/63.19 (P2(a1,f4(a1,f3(a1)))),
% 63.17/63.19 inference(scs_inference,[],[27,33,38,29,14,18,4,2,19])).
% 63.17/63.19 cnf(44,plain,
% 63.17/63.19 (E(x441,f4(x441,f3(x441)))),
% 63.17/63.19 inference(rename_variables,[],[27])).
% 63.17/63.19 cnf(48,plain,
% 63.17/63.19 (~P1(f4(f4(x481,x482),x483))+P1(f4(x481,f4(x482,x483)))),
% 63.17/63.19 inference(scs_inference,[],[27,44,33,38,29,14,18,4,2,19,9,8])).
% 63.17/63.19 cnf(54,plain,
% 63.17/63.19 (E(x541,f4(f2(x541),x541))),
% 63.17/63.19 inference(scs_inference,[],[28,13,18,2])).
% 63.17/63.19 cnf(64,plain,
% 63.17/63.19 (~P2(f4(x641,f4(x642,x643)),x644)+P1(f4(f4(x641,x642),x643))),
% 63.17/63.19 inference(scs_inference,[],[54,42,41,43,18,9,10,8,48,20])).
% 63.17/63.19 cnf(136,plain,
% 63.17/63.19 (E(f3(f2(a1)),f2(a1))),
% 63.17/63.19 inference(scs_inference,[],[29,54,8,21,2])).
% 63.17/63.19 cnf(137,plain,
% 63.17/63.20 (E(f4(f2(f2(a1)),f2(a1)),f3(f2(a1)))),
% 63.17/63.20 inference(scs_inference,[],[29,54,13,8,21,2,3])).
% 63.17/63.20 cnf(141,plain,
% 63.17/63.20 (~E(f2(f2(a1)),f3(f2(a1)))),
% 63.17/63.20 inference(scs_inference,[],[15,137,136,2,3])).
% 63.17/63.20 cnf(177,plain,
% 63.17/63.20 (~P2(f4(x1771,f4(x1772,x1773)),x1774)+P1(f3(f4(x1771,x1772)))),
% 63.17/63.20 inference(scs_inference,[],[64,22])).
% 63.17/63.20 cnf(178,plain,
% 63.17/63.20 (~P2(f4(x1781,f4(x1782,x1783)),x1784)+P1(f4(x1781,x1782))),
% 63.17/63.20 inference(scs_inference,[],[177,16])).
% 63.17/63.20 cnf(179,plain,
% 63.17/63.20 (~P2(f4(f2(a1),f4(f2(a1),x1791)),x1792)),
% 63.17/63.20 inference(scs_inference,[],[141,178,21])).
% 63.17/63.20 cnf(403,plain,
% 63.17/63.20 (~E(a1,f4(f2(a1),f4(f2(a1),x4031)))),
% 63.17/63.20 inference(scs_inference,[],[179,43,9])).
% 63.17/63.20 cnf(1703,plain,
% 63.17/63.20 (E(f4(x17031,x17032),f4(x17031,f4(f2(x17032),x17032)))),
% 63.17/63.20 inference(scs_inference,[],[54,6,7])).
% 63.17/63.20 cnf(1844,plain,
% 63.17/63.20 ($false),
% 63.17/63.20 inference(scs_inference,[],[54,1703,403,3]),
% 63.17/63.20 ['proof']).
% 63.17/63.20 % SZS output end Proof
% 63.17/63.20 % Total time :62.570000s
%------------------------------------------------------------------------------