TSTP Solution File: LCL365-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL365-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n031.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 : Thu Aug 31 06:49:02 EDT 2023
% Result : Unsatisfiable 49.10s 49.20s
% Output : CNFRefutation 49.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL365-1 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.11/0.33 % Computer : n031.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % 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 : Fri Aug 25 01:50:36 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 49.10/49.19 %-------------------------------------------
% 49.10/49.19 % File :CSE---1.6
% 49.10/49.19 % Problem :theBenchmark
% 49.10/49.19 % Transform :cnf
% 49.10/49.19 % Format :tptp:raw
% 49.10/49.19 % Command :java -jar mcs_scs.jar %d %s
% 49.10/49.19
% 49.10/49.19 % Result :Theorem 48.560000s
% 49.10/49.19 % Output :CNFRefutation 48.560000s
% 49.10/49.19 %-------------------------------------------
% 49.10/49.20 %--------------------------------------------------------------------------
% 49.10/49.20 % File : LCL365-1 : TPTP v8.1.2. Released v2.3.0.
% 49.10/49.20 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 49.10/49.20 % Problem : CN-14 depends on the Lukasiewicz system
% 49.10/49.20 % Version : [McC92] axioms.
% 49.10/49.20 % English : An axiomatisation of the Implication/Negation 2 valued
% 49.10/49.20 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 49.10/49.20 % Show that CN-14 depends on the Lukasiewicz system.
% 49.10/49.20
% 49.10/49.20 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 49.10/49.20 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 49.10/49.20 % Source : [Wos96]
% 49.10/49.20 % Names : thesis_14 [Wos96]
% 49.10/49.20
% 49.10/49.20 % Status : Unsatisfiable
% 49.10/49.20 % Rating : 0.29 v8.1.0, 0.25 v7.4.0, 0.33 v7.3.0, 0.25 v6.2.0, 0.17 v6.1.0, 0.29 v6.0.0, 0.33 v5.5.0, 0.38 v5.4.0, 0.44 v5.3.0, 0.60 v5.2.0, 0.38 v5.1.0, 0.50 v5.0.0, 0.53 v4.0.1, 0.29 v3.7.0, 0.14 v3.4.0, 0.20 v3.3.0, 0.00 v2.7.0, 0.12 v2.6.0, 0.43 v2.4.0, 0.25 v2.3.0
% 49.10/49.20 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 49.10/49.20 % Number of literals : 7 ( 0 equ; 3 neg)
% 49.10/49.20 % Maximal clause size : 3 ( 1 avg)
% 49.10/49.20 % Maximal term depth : 6 ( 2 avg)
% 49.10/49.20 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 49.10/49.20 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 49.10/49.20 % Number of variables : 8 ( 1 sgn)
% 49.10/49.20 % SPC : CNF_UNS_RFO_NEQ_HRN
% 49.10/49.20
% 49.10/49.20 % Comments :
% 49.10/49.20 %--------------------------------------------------------------------------
% 49.10/49.20 cnf(condensed_detachment,axiom,
% 49.10/49.20 ( ~ is_a_theorem(implies(X,Y))
% 49.10/49.20 | ~ is_a_theorem(X)
% 49.10/49.20 | is_a_theorem(Y) ) ).
% 49.10/49.20
% 49.10/49.20 cnf(cn_1,axiom,
% 49.10/49.20 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 49.10/49.20
% 49.10/49.20 cnf(cn_2,axiom,
% 49.10/49.20 is_a_theorem(implies(implies(not(X),X),X)) ).
% 49.10/49.20
% 49.10/49.20 cnf(cn_3,axiom,
% 49.10/49.20 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 49.10/49.20
% 49.10/49.20 cnf(prove_cn_14,negated_conjecture,
% 49.10/49.20 ~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(not(z),y),u))) ).
% 49.10/49.20
% 49.10/49.20 %--------------------------------------------------------------------------
% 49.10/49.20 %-------------------------------------------
% 49.10/49.20 % Proof found
% 49.10/49.20 % SZS status Theorem for theBenchmark
% 49.10/49.20 % SZS output start Proof
% 49.14/49.21 %ClaNum:5(EqnAxiom:0)
% 49.14/49.21 %VarNum:16(SingletonVarNum:8)
% 49.14/49.21 %MaxLitNum:3
% 49.14/49.21 %MaxfuncDepth:4
% 49.14/49.21 %SharedTerms:13
% 49.14/49.21 %goalClause: 4
% 49.14/49.21 %singleGoalClaCount:1
% 49.14/49.21 [4]~P1(f2(f2(f2(a3,f2(f2(a5,a6),a6)),a4),f2(f2(f1(a6),a5),a4)))
% 49.14/49.21 [2]P1(f2(f2(f1(x21),x21),x21))
% 49.14/49.21 [1]P1(f2(x11,f2(f1(x11),x12)))
% 49.14/49.21 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 49.14/49.21 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 49.14/49.21 %EqnAxiom
% 49.14/49.21
% 49.14/49.21 %-------------------------------------------
% 49.14/49.22 cnf(6,plain,
% 49.14/49.22 (P1(f2(f1(f2(f2(f1(x61),x61),x61)),x62))),
% 49.14/49.22 inference(scs_inference,[],[2,1,5])).
% 49.14/49.22 cnf(8,plain,
% 49.14/49.22 (P1(f2(f2(f2(f1(x81),x82),x83),f2(x81,x83)))),
% 49.14/49.22 inference(scs_inference,[],[1,3,5])).
% 49.14/49.22 cnf(17,plain,
% 49.14/49.22 (P1(f2(x171,x171))),
% 49.14/49.22 inference(scs_inference,[],[2,8,5])).
% 49.14/49.22 cnf(21,plain,
% 49.14/49.22 (~P1(f2(f2(f1(a6),a5),f2(a3,f2(f2(a5,a6),a6))))),
% 49.14/49.22 inference(scs_inference,[],[3,4,5])).
% 49.14/49.22 cnf(26,plain,
% 49.14/49.22 (P1(f2(x261,f2(f1(f2(f1(x261),x262)),x263)))),
% 49.14/49.22 inference(scs_inference,[],[8,1,5])).
% 49.14/49.22 cnf(51,plain,
% 49.14/49.22 (P1(f2(f2(f2(f1(f2(f1(x511),x512)),x513),x514),f2(x511,x514)))),
% 49.14/49.22 inference(scs_inference,[],[26,3,5])).
% 49.14/49.22 cnf(84,plain,
% 49.14/49.22 (P1(f2(f1(f2(f2(x841,x842),f2(f2(x842,x843),f2(x841,x843)))),x844))),
% 49.14/49.22 inference(scs_inference,[],[1,3,5])).
% 49.14/49.22 cnf(92,plain,
% 49.14/49.22 (P1(f2(f2(x921,x922),f2(f2(f1(x921),x921),x922)))),
% 49.14/49.22 inference(scs_inference,[],[2,3,5])).
% 49.14/49.22 cnf(98,plain,
% 49.14/49.22 (P1(f2(x981,f2(f2(f1(f1(x981)),f1(x981)),x982)))),
% 49.14/49.22 inference(scs_inference,[],[8,92,5])).
% 49.14/49.22 cnf(145,plain,
% 49.14/49.22 (P1(f2(f2(f1(f2(f1(x1451),x1451)),f2(f1(x1451),x1451)),x1451))),
% 49.14/49.22 inference(scs_inference,[],[92,2,5])).
% 49.14/49.22 cnf(154,plain,
% 49.14/49.22 (P1(f2(f2(x1541,x1542),f2(f2(f1(f2(f1(x1541),x1541)),f2(f1(x1541),x1541)),x1542)))),
% 49.14/49.22 inference(scs_inference,[],[145,3,5])).
% 49.14/49.22 cnf(163,plain,
% 49.14/49.22 (P1(f2(f2(f1(f2(f1(f2(x1631,x1632)),f2(x1631,x1632))),f2(f1(f2(x1631,x1632)),f2(x1631,x1632))),f2(f2(x1632,x1633),f2(x1631,x1633))))),
% 49.14/49.22 inference(scs_inference,[],[154,3,5])).
% 49.14/49.22 cnf(178,plain,
% 49.14/49.22 (P1(f2(f2(f2(x1781,x1782),x1783),f2(f2(f2(f1(x1781),x1784),x1782),x1783)))),
% 49.14/49.22 inference(scs_inference,[],[8,3,5])).
% 49.14/49.22 cnf(186,plain,
% 49.14/49.22 (P1(f2(x1861,f2(f2(x1862,x1863),f2(f1(x1861),x1863))))),
% 49.14/49.22 inference(scs_inference,[],[3,8,5])).
% 49.14/49.22 cnf(190,plain,
% 49.14/49.22 (P1(f2(f2(x1901,x1902),f2(f1(f2(x1903,x1903)),x1902)))),
% 49.14/49.22 inference(scs_inference,[],[17,186,5])).
% 49.14/49.22 cnf(201,plain,
% 49.14/49.22 (P1(f2(f2(f1(f2(x2011,x2012)),f2(x2011,x2012)),f2(f2(x2012,x2013),f2(x2011,x2013))))),
% 49.14/49.22 inference(scs_inference,[],[163,8,5])).
% 49.14/49.22 cnf(212,plain,
% 49.14/49.22 (P1(f2(f2(f2(f2(x2121,x2122),f2(x2123,x2122)),x2124),f2(f2(x2123,x2121),x2124)))),
% 49.14/49.22 inference(scs_inference,[],[201,84,5])).
% 49.14/49.22 cnf(234,plain,
% 49.14/49.22 (P1(f2(f2(x2341,x2342),f2(f2(f1(f2(x2342,x2343)),f2(x2342,x2343)),f2(x2341,x2343))))),
% 49.14/49.22 inference(scs_inference,[],[92,212,5])).
% 49.14/49.22 cnf(240,plain,
% 49.14/49.22 (P1(f2(f2(f2(f2(f1(f1(x2401)),f1(x2401)),x2402),x2403),f2(x2401,x2403)))),
% 49.14/49.22 inference(scs_inference,[],[98,3,5])).
% 49.14/49.22 cnf(268,plain,
% 49.14/49.22 (P1(f2(f2(f1(f2(f1(f2(x2681,x2682)),f2(x2681,x2682))),f2(f1(f2(x2681,x2682)),f2(x2681,x2682))),f2(f2(f1(f2(x2682,x2683)),f2(x2682,x2683)),f2(x2681,x2683))))),
% 49.14/49.22 inference(scs_inference,[],[154,234,5])).
% 49.14/49.22 cnf(291,plain,
% 49.14/49.22 (P1(f2(x2911,f2(f2(f2(f1(f1(f1(x2911))),x2912),f1(x2911)),x2913)))),
% 49.14/49.22 inference(scs_inference,[],[178,240,5])).
% 49.14/49.22 cnf(304,plain,
% 49.14/49.22 (P1(f2(x3041,f2(f1(f2(x3042,x3042)),x3043)))),
% 49.14/49.22 inference(scs_inference,[],[190,51,5])).
% 49.14/49.22 cnf(320,plain,
% 49.14/49.22 (P1(f2(f2(x3201,f2(f1(f1(x3202)),f1(x3202))),f2(x3202,f2(x3201,x3203))))),
% 49.14/49.22 inference(scs_inference,[],[212,240,5])).
% 49.14/49.22 cnf(327,plain,
% 49.14/49.22 (P1(f2(f2(f1(f1(x3271)),x3272),f2(x3271,f2(f2(x3272,f1(x3271)),x3273))))),
% 49.14/49.22 inference(scs_inference,[],[212,320,5])).
% 49.14/49.22 cnf(402,plain,
% 49.14/49.22 (P1(f2(f2(f1(f2(x4021,x4022)),f2(x4021,x4022)),f2(f2(f1(f2(x4022,x4023)),f2(x4022,x4023)),f2(x4021,x4023))))),
% 49.14/49.22 inference(scs_inference,[],[268,8,5])).
% 49.14/49.22 cnf(478,plain,
% 49.14/49.22 (P1(f2(f2(x4781,x4782),f2(f1(f2(f2(x4782,x4783),f2(x4781,x4783))),x4784)))),
% 49.14/49.22 inference(scs_inference,[],[1,212,5])).
% 49.14/49.22 cnf(495,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(f2(f1(f1(f1(x4951))),x4952),f1(x4951)),x4953),x4954),f2(x4951,x4954)))),
% 49.14/49.23 inference(scs_inference,[],[3,291,5])).
% 49.14/49.23 cnf(499,plain,
% 49.14/49.23 (P1(f2(f1(f2(f2(f2(f2(x4991,x4992),f2(x4993,x4992)),x4994),f2(f2(x4993,x4991),x4994))),x4995))),
% 49.14/49.23 inference(scs_inference,[],[3,478,5])).
% 49.14/49.23 cnf(515,plain,
% 49.14/49.23 (~P1(f2(f2(f2(a5,x5151),f2(f1(a6),x5151)),f2(a3,f2(f2(a5,a6),a6))))),
% 49.14/49.23 inference(scs_inference,[],[21,212,5])).
% 49.14/49.23 cnf(558,plain,
% 49.14/49.23 (P1(f2(f2(x5581,x5582),f2(f2(f2(f1(x5582),x5583),x5584),f2(x5581,x5584))))),
% 49.14/49.23 inference(scs_inference,[],[178,212,5])).
% 49.14/49.23 cnf(577,plain,
% 49.14/49.23 (P1(f2(f2(x5771,f2(f2(f1(f1(f1(x5772))),x5773),f1(x5772))),f2(x5772,f2(x5771,x5774))))),
% 49.14/49.23 inference(scs_inference,[],[212,495,5])).
% 49.14/49.23 cnf(591,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(f1(f2(x5911,x5912)),f2(x5911,x5912)),f2(x5913,x5912)),x5914),f2(f2(x5913,x5911),x5914)))),
% 49.14/49.23 inference(scs_inference,[],[234,3,5])).
% 49.14/49.23 cnf(605,plain,
% 49.14/49.23 (P1(f2(f1(f2(f2(f2(f1(f2(x6051,x6051)),x6052),x6053),f2(x6054,x6053))),x6055))),
% 49.14/49.23 inference(scs_inference,[],[304,478,5])).
% 49.14/49.23 cnf(697,plain,
% 49.14/49.23 (P1(f2(f2(f2(f1(x6971),x6972),x6973),f2(f2(f1(x6971),x6971),x6973)))),
% 49.14/49.23 inference(scs_inference,[],[558,2,5])).
% 49.14/49.23 cnf(715,plain,
% 49.14/49.23 (P1(f2(f2(f1(x7151),x7151),f2(x7152,f2(f1(x7151),x7153))))),
% 49.14/49.23 inference(scs_inference,[],[577,697,5])).
% 49.14/49.23 cnf(860,plain,
% 49.14/49.23 (P1(f2(f2(x8601,x8602),f2(f1(f2(f2(f1(f2(x8602,x8603)),f2(x8602,x8603)),f2(x8601,x8603))),x8604)))),
% 49.14/49.23 inference(scs_inference,[],[1,591,5])).
% 49.14/49.23 cnf(866,plain,
% 49.14/49.23 (P1(f2(f2(f2(f1(f2(x8661,x8661)),x8662),x8663),f2(x8664,x8663)))),
% 49.14/49.23 inference(scs_inference,[],[2,605,5])).
% 49.14/49.23 cnf(966,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(x9661,x9662),x9663),x9664),f2(f2(f2(f2(x9662,x9665),f2(x9661,x9665)),x9663),x9664)))),
% 49.14/49.23 inference(scs_inference,[],[201,499,5])).
% 49.14/49.23 cnf(975,plain,
% 49.14/49.23 (P1(f2(f2(x9751,f2(x9752,x9753)),f2(f2(f2(f2(x9753,x9754),f2(x9752,x9754)),x9755),f2(x9751,x9755))))),
% 49.14/49.23 inference(scs_inference,[],[212,966,5])).
% 49.14/49.23 cnf(1087,plain,
% 49.14/49.23 (P1(f2(x10871,f2(f2(f1(f2(x10872,x10873)),f2(x10872,x10873)),f2(x10872,x10873))))),
% 49.14/49.23 inference(scs_inference,[],[402,866,5])).
% 49.14/49.23 cnf(1165,plain,
% 49.14/49.23 (P1(f2(f2(f2(f1(f2(f2(f1(f2(x11651,x11652)),f2(x11651,x11652)),f2(x11651,x11652))),x11653),x11654),f2(x11655,x11654)))),
% 49.14/49.23 inference(scs_inference,[],[558,1087,5])).
% 49.14/49.23 cnf(1195,plain,
% 49.14/49.23 (P1(f2(f2(x11951,f2(f1(f2(x11952,x11953)),f2(x11952,x11953))),f2(x11954,f2(x11951,f2(x11952,x11953)))))),
% 49.14/49.23 inference(scs_inference,[],[591,1165,5])).
% 49.14/49.23 cnf(1236,plain,
% 49.14/49.23 (P1(f2(x12361,f2(f2(x12362,x12363),f2(f2(f1(f2(x12363,x12364)),f2(x12363,x12364)),f2(x12362,x12364)))))),
% 49.14/49.23 inference(scs_inference,[],[860,1195,5])).
% 49.14/49.23 cnf(1267,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(f2(f1(x12671),x12672),x12673),f2(x12674,x12673)),x12675),f2(f2(f1(x12671),x12671),x12675)))),
% 49.14/49.23 inference(scs_inference,[],[715,975,5])).
% 49.14/49.23 cnf(1397,plain,
% 49.14/49.23 (P1(f2(x13971,f2(f2(f2(f2(x13972,x13973),f2(f2(f1(f2(x13973,x13974)),f2(x13973,x13974)),f2(x13972,x13974))),f1(x13971)),x13975)))),
% 49.14/49.23 inference(scs_inference,[],[1236,327,5])).
% 49.14/49.23 cnf(1418,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(x14181,x14182),f2(f2(f1(f2(x14182,x14183)),f2(x14182,x14183)),f2(x14181,x14183))),f1(f2(x14184,x14184))),x14185))),
% 49.14/49.23 inference(scs_inference,[],[1397,17,5])).
% 49.14/49.23 cnf(1661,plain,
% 49.14/49.23 (P1(f2(f2(f2(f2(f2(f2(f1(f2(x16611,x16612)),f2(x16611,x16612)),f2(x16613,x16612)),x16614),f2(f2(x16613,x16611),x16614)),x16615),f2(x16616,x16615)))),
% 49.14/49.23 inference(scs_inference,[],[1236,975,5])).
% 49.14/49.23 cnf(1810,plain,
% 49.14/49.23 (P1(f2(x18101,f2(f2(f1(f2(x18102,x18103)),f2(x18102,x18103)),f2(f2(x18104,x18102),f2(x18105,f2(x18104,x18103))))))),
% 49.14/49.23 inference(scs_inference,[],[1661,1267,5])).
% 49.14/49.23 cnf(1814,plain,
% 49.14/49.23 (P1(f2(f2(f1(f2(x18141,x18142)),f2(x18141,x18142)),f2(f2(x18143,x18141),f2(x18144,f2(x18143,x18142)))))),
% 49.14/49.23 inference(scs_inference,[],[1418,1810,5])).
% 49.14/49.23 cnf(1819,plain,
% 49.14/49.23 ($false),
% 49.14/49.23 inference(scs_inference,[],[1814,6,515,5]),
% 49.14/49.23 ['proof']).
% 49.14/49.23 % SZS output end Proof
% 49.14/49.23 % Total time :48.560000s
%------------------------------------------------------------------------------