TSTP Solution File: LCL362-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL362-1 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 12.50s 12.59s
% Output : CNFRefutation 12.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL362-1 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Fri Aug 25 06:28:57 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.15/0.46 start to proof:theBenchmark
% 12.50/12.58 %-------------------------------------------
% 12.50/12.58 % File :CSE---1.6
% 12.50/12.58 % Problem :theBenchmark
% 12.50/12.58 % Transform :cnf
% 12.50/12.58 % Format :tptp:raw
% 12.50/12.58 % Command :java -jar mcs_scs.jar %d %s
% 12.50/12.58
% 12.50/12.58 % Result :Theorem 12.080000s
% 12.50/12.58 % Output :CNFRefutation 12.080000s
% 12.50/12.58 %-------------------------------------------
% 12.50/12.58 %--------------------------------------------------------------------------
% 12.50/12.58 % File : LCL362-1 : TPTP v8.1.2. Released v2.3.0.
% 12.50/12.58 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 12.50/12.59 % Problem : CN-11 depends on the Lukasiewicz system
% 12.50/12.59 % Version : [McC92] axioms.
% 12.50/12.59 % English : An axiomatisation of the Implication/Negation 2 valued
% 12.50/12.59 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 12.50/12.59 % Show that CN-11 depends on the Lukasiewicz system.
% 12.50/12.59
% 12.50/12.59 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 12.50/12.59 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 12.50/12.59 % Source : [Wos96]
% 12.50/12.59 % Names : thesis_11 [Wos96]
% 12.50/12.59
% 12.50/12.59 % Status : Unsatisfiable
% 12.50/12.59 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.3.0
% 12.50/12.59 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 12.50/12.59 % Number of literals : 7 ( 0 equ; 3 neg)
% 12.50/12.59 % Maximal clause size : 3 ( 1 avg)
% 12.50/12.59 % Maximal term depth : 6 ( 2 avg)
% 12.50/12.59 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 12.50/12.59 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 12.50/12.59 % Number of variables : 8 ( 1 sgn)
% 12.50/12.59 % SPC : CNF_UNS_RFO_NEQ_HRN
% 12.50/12.59
% 12.50/12.59 % Comments :
% 12.50/12.59 %--------------------------------------------------------------------------
% 12.50/12.59 cnf(condensed_detachment,axiom,
% 12.50/12.59 ( ~ is_a_theorem(implies(X,Y))
% 12.50/12.59 | ~ is_a_theorem(X)
% 12.50/12.59 | is_a_theorem(Y) ) ).
% 12.50/12.59
% 12.50/12.59 cnf(cn_1,axiom,
% 12.50/12.59 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 12.50/12.59
% 12.50/12.59 cnf(cn_2,axiom,
% 12.50/12.59 is_a_theorem(implies(implies(not(X),X),X)) ).
% 12.50/12.59
% 12.50/12.59 cnf(cn_3,axiom,
% 12.50/12.59 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 12.50/12.59
% 12.50/12.59 cnf(prove_cn_11,negated_conjecture,
% 12.50/12.59 ~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))) ).
% 12.50/12.59
% 12.50/12.59 %--------------------------------------------------------------------------
% 12.50/12.59 %-------------------------------------------
% 12.50/12.59 % Proof found
% 12.50/12.59 % SZS status Theorem for theBenchmark
% 12.50/12.59 % SZS output start Proof
% 12.50/12.59 %ClaNum:5(EqnAxiom:0)
% 12.50/12.59 %VarNum:16(SingletonVarNum:8)
% 12.50/12.59 %MaxLitNum:3
% 12.50/12.59 %MaxfuncDepth:4
% 12.50/12.59 %SharedTerms:8
% 12.50/12.59 %goalClause: 4
% 12.50/12.59 %singleGoalClaCount:1
% 12.50/12.59 [4]~P1(f2(f2(a3,f2(f2(f1(a4),a4),a4)),f2(f2(f1(a4),a4),a4)))
% 12.50/12.59 [2]P1(f2(f2(f1(x21),x21),x21))
% 12.50/12.59 [1]P1(f2(x11,f2(f1(x11),x12)))
% 12.50/12.59 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 12.50/12.59 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 12.50/12.59 %EqnAxiom
% 12.50/12.59
% 12.50/12.59 %-------------------------------------------
% 12.50/12.60 cnf(6,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(f1(x61),x61),x61)),x62))),
% 12.50/12.60 inference(scs_inference,[],[2,1,5])).
% 12.50/12.60 cnf(8,plain,
% 12.50/12.60 (P1(f2(f2(f2(f1(x81),x82),x83),f2(x81,x83)))),
% 12.50/12.60 inference(scs_inference,[],[1,3,5])).
% 12.50/12.60 cnf(17,plain,
% 12.50/12.60 (P1(f2(x171,x171))),
% 12.50/12.60 inference(scs_inference,[],[2,8,5])).
% 12.50/12.60 cnf(21,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(x211,x212),f2(f2(x212,x213),f2(x211,x213)))),x214))),
% 12.50/12.60 inference(scs_inference,[],[3,1,5])).
% 12.50/12.60 cnf(43,plain,
% 12.50/12.60 (P1(f2(f1(f2(x431,x431)),x432))),
% 12.50/12.60 inference(scs_inference,[],[17,1,5])).
% 12.50/12.60 cnf(63,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(f2(f1(x631),x632),x633),f2(x631,x633))),x634))),
% 12.50/12.60 inference(scs_inference,[],[1,8,5])).
% 12.50/12.60 cnf(71,plain,
% 12.50/12.60 (P1(f2(f2(x711,x712),f2(f1(f2(f2(f2(f1(x713),x714),x715),f2(x713,x715))),x712)))),
% 12.50/12.60 inference(scs_inference,[],[63,3,5])).
% 12.50/12.60 cnf(76,plain,
% 12.50/12.60 (P1(f2(f2(x761,x762),f2(f2(f1(x761),x761),x762)))),
% 12.50/12.60 inference(scs_inference,[],[2,3,5])).
% 12.50/12.60 cnf(81,plain,
% 12.50/12.60 (P1(f2(f2(f1(x811),x811),f2(f1(x811),x812)))),
% 12.50/12.60 inference(scs_inference,[],[76,1,5])).
% 12.50/12.60 cnf(85,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(f1(x851),x851),x852),x853),f2(f2(x851,x852),x853)))),
% 12.50/12.60 inference(scs_inference,[],[76,3,5])).
% 12.50/12.60 cnf(90,plain,
% 12.50/12.60 (P1(f2(f2(x901,x902),f2(f2(f1(f2(f1(x901),x901)),f2(f1(x901),x901)),x902)))),
% 12.50/12.60 inference(scs_inference,[],[85,76,5])).
% 12.50/12.60 cnf(100,plain,
% 12.50/12.60 (P1(f2(f2(x1001,x1002),f2(f2(x1002,x1003),f2(f2(f1(x1001),x1001),x1003))))),
% 12.50/12.60 inference(scs_inference,[],[85,3,5])).
% 12.50/12.60 cnf(116,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(x1161,x1162),f2(f2(f1(x1163),x1163),x1162)),x1164),f2(f2(x1163,x1161),x1164)))),
% 12.50/12.60 inference(scs_inference,[],[100,3,5])).
% 12.50/12.60 cnf(128,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(f1(x1281),x1281),f2(f1(x1281),x1282))),x1283))),
% 12.50/12.60 inference(scs_inference,[],[1,81,5])).
% 12.50/12.60 cnf(141,plain,
% 12.50/12.60 (P1(f2(f2(f2(f1(x1411),x1412),x1413),f2(f2(f1(x1411),x1411),x1413)))),
% 12.50/12.60 inference(scs_inference,[],[1,100,5])).
% 12.50/12.60 cnf(146,plain,
% 12.50/12.60 (P1(f2(x1461,f2(f2(x1462,x1463),f2(f1(x1461),x1463))))),
% 12.50/12.60 inference(scs_inference,[],[3,8,5])).
% 12.50/12.60 cnf(209,plain,
% 12.50/12.60 (P1(f2(x2091,f2(f1(f2(f2(f2(f1(x2092),x2093),x2094),f2(x2092,x2094))),x2095)))),
% 12.50/12.60 inference(scs_inference,[],[71,8,5])).
% 12.50/12.60 cnf(218,plain,
% 12.50/12.60 (P1(f2(f2(x2181,f2(f1(x2182),x2182)),f2(f2(x2182,x2183),f2(f2(f1(x2181),x2181),x2183))))),
% 12.50/12.60 inference(scs_inference,[],[85,116,5])).
% 12.50/12.60 cnf(228,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(f1(f2(x2281,x2282)),f2(x2281,x2282))),f2(f1(f2(x2281,x2282)),f2(x2281,x2282))),f2(f2(x2282,x2283),f2(x2281,x2283))))),
% 12.50/12.60 inference(scs_inference,[],[90,3,5])).
% 12.50/12.60 cnf(251,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(x2511,x2512),f2(f1(x2513),x2512)),x2514),f2(f2(f1(x2513),x2513),x2514)))),
% 12.50/12.60 inference(scs_inference,[],[146,100,5])).
% 12.50/12.60 cnf(256,plain,
% 12.50/12.60 (P1(f2(f2(f1(x2561),x2561),f2(f2(x2562,x2563),f2(f2(f1(f1(x2561)),f1(x2561)),x2563))))),
% 12.50/12.60 inference(scs_inference,[],[141,218,5])).
% 12.50/12.60 cnf(292,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(f2(f1(x2921),x2922),x2923),f2(x2921,x2923)),x2924),f2(f2(f1(x2925),x2925),x2924)))),
% 12.50/12.60 inference(scs_inference,[],[209,218,5])).
% 12.50/12.60 cnf(302,plain,
% 12.50/12.60 (P1(f2(f2(f1(x3021),x3021),f2(f2(f1(x3022),x3022),f2(x3023,f2(f1(x3022),x3024)))))),
% 12.50/12.60 inference(scs_inference,[],[292,251,5])).
% 12.50/12.60 cnf(306,plain,
% 12.50/12.60 (P1(f2(f2(f1(x3061),x3061),f2(x3062,f2(f1(x3061),x3063))))),
% 12.50/12.60 inference(scs_inference,[],[302,6,5])).
% 12.50/12.60 cnf(317,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(x3171,x3172)),f2(x3171,x3172)),f2(f2(x3172,x3173),f2(x3171,x3173))))),
% 12.50/12.60 inference(scs_inference,[],[228,8,5])).
% 12.50/12.60 cnf(335,plain,
% 12.50/12.60 (P1(f2(x3351,f2(f2(x3352,x3353),f2(f2(f1(f1(x3351)),f1(x3351)),x3353))))),
% 12.50/12.60 inference(scs_inference,[],[256,8,5])).
% 12.50/12.60 cnf(354,plain,
% 12.50/12.60 (P1(f2(x3541,f2(f1(f2(x3542,x3542)),x3543)))),
% 12.50/12.60 inference(scs_inference,[],[306,43,5])).
% 12.50/12.60 cnf(363,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(x3631,x3632),f2(x3633,x3632)),x3634),f2(f2(x3633,x3631),x3634)))),
% 12.50/12.60 inference(scs_inference,[],[317,21,5])).
% 12.50/12.60 cnf(376,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(x3761,x3762),f2(f2(f1(f1(x3763)),f1(x3763)),x3762)),x3764),f2(x3763,x3764)))),
% 12.50/12.60 inference(scs_inference,[],[335,3,5])).
% 12.50/12.60 cnf(381,plain,
% 12.50/12.60 (P1(f2(x3811,f2(f2(x3812,x3813),f2(f2(f1(f1(x3811)),f1(x3811)),f2(x3812,x3814)))))),
% 12.50/12.60 inference(scs_inference,[],[376,363,5])).
% 12.50/12.60 cnf(400,plain,
% 12.50/12.60 (P1(f2(f2(x4001,f2(x4002,x4003)),f2(f2(x4004,x4002),f2(f2(f1(x4001),x4001),f2(x4004,x4003)))))),
% 12.50/12.60 inference(scs_inference,[],[363,116,5])).
% 12.50/12.60 cnf(406,plain,
% 12.50/12.60 (P1(f2(f2(x4061,x4062),f2(f2(x4063,x4061),f2(f2(f1(f2(x4062,x4064)),f2(x4062,x4064)),f2(x4063,x4064)))))),
% 12.50/12.60 inference(scs_inference,[],[363,400,5])).
% 12.50/12.60 cnf(438,plain,
% 12.50/12.60 (P1(f2(f2(x4381,x4382),f2(f2(f1(f2(x4382,x4383)),f2(x4382,x4383)),f2(x4381,x4383))))),
% 12.50/12.60 inference(scs_inference,[],[406,17,5])).
% 12.50/12.60 cnf(456,plain,
% 12.50/12.60 (P1(f2(f2(x4561,x4562),f2(f2(f1(f2(f2(x4561,x4563),x4564)),f2(f2(x4561,x4563),x4564)),f2(f2(x4562,x4563),x4564))))),
% 12.50/12.60 inference(scs_inference,[],[438,363,5])).
% 12.50/12.60 cnf(462,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(x4621,x4622)),f2(x4621,x4622)),f2(f2(f1(x4621),x4621),x4622)))),
% 12.50/12.60 inference(scs_inference,[],[438,2,5])).
% 12.50/12.60 cnf(483,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(f1(f2(x4831,x4832)),f2(x4831,x4832)),f2(f2(x4832,x4833),f2(x4831,x4833)))),x4834))),
% 12.50/12.60 inference(scs_inference,[],[1,317,5])).
% 12.50/12.60 cnf(497,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(f1(x4971),x4971),x4972),x4973),f2(f2(f1(f2(x4971,x4972)),f2(x4971,x4972)),x4973)))),
% 12.50/12.60 inference(scs_inference,[],[3,462,5])).
% 12.50/12.60 cnf(505,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(x5051,x5052)),f2(x5051,x5052)),f2(f2(x5053,f2(f1(x5051),x5051)),f2(f2(f1(f2(x5052,x5054)),f2(x5052,x5054)),f2(x5053,x5054)))))),
% 12.50/12.60 inference(scs_inference,[],[497,406,5])).
% 12.50/12.60 cnf(515,plain,
% 12.50/12.60 (P1(f2(f2(x5151,f2(f1(x5152),x5152)),f2(f2(f1(f2(x5152,x5153)),f2(x5152,x5153)),f2(x5151,x5153))))),
% 12.50/12.60 inference(scs_inference,[],[43,505,5])).
% 12.50/12.60 cnf(525,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(f2(x5251,x5251),x5252)),f2(f2(x5251,x5251),x5252)),f2(x5253,x5252)))),
% 12.50/12.60 inference(scs_inference,[],[515,354,5])).
% 12.50/12.60 cnf(539,plain,
% 12.50/12.60 (P1(f2(x5391,f2(f2(x5392,x5393),f2(x5392,x5393))))),
% 12.50/12.60 inference(scs_inference,[],[525,21,5])).
% 12.50/12.60 cnf(560,plain,
% 12.50/12.60 (P1(f2(x5601,f2(x5602,x5602)))),
% 12.50/12.60 inference(scs_inference,[],[539,525,5])).
% 12.50/12.60 cnf(662,plain,
% 12.50/12.60 (P1(f2(f2(x6621,x6622),f2(f2(f1(f2(f2(x6623,x6623),x6624)),f2(f2(x6623,x6623),x6624)),f2(x6621,x6624))))),
% 12.50/12.60 inference(scs_inference,[],[406,560,5])).
% 12.50/12.60 cnf(678,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(f2(x6781,x6782),x6783)),f2(f2(x6781,x6782),x6783)),f2(f2(f2(x6784,x6784),x6782),x6783)))),
% 12.50/12.60 inference(scs_inference,[],[456,560,5])).
% 12.50/12.60 cnf(700,plain,
% 12.50/12.60 (P1(f2(f2(f2(x7001,x7001),x7002),f2(f1(x7002),x7003)))),
% 12.50/12.60 inference(scs_inference,[],[678,128,5])).
% 12.50/12.60 cnf(704,plain,
% 12.50/12.60 (P1(f2(f2(f1(f2(x7041,x7042)),f2(x7041,x7042)),f2(f2(f2(x7043,x7043),x7041),x7042)))),
% 12.50/12.60 inference(scs_inference,[],[515,700,5])).
% 12.50/12.60 cnf(817,plain,
% 12.50/12.60 (P1(f2(f2(f2(x8171,x8171),f2(x8172,x8173)),f2(f2(x8173,x8174),f2(x8172,x8174))))),
% 12.50/12.60 inference(scs_inference,[],[678,483,5])).
% 12.50/12.60 cnf(854,plain,
% 12.50/12.60 (P1(f2(f1(f2(f2(f1(f2(f2(x8541,x8541),x8542)),f2(f2(x8541,x8541),x8542)),f2(x8543,x8542))),x8544))),
% 12.50/12.60 inference(scs_inference,[],[700,662,5])).
% 12.50/12.60 cnf(863,plain,
% 12.50/12.60 (P1(f2(f2(f2(x8631,x8631),f2(f1(f2(f2(x8632,x8632),x8633)),f2(f2(x8632,x8632),x8633))),f2(x8634,x8633)))),
% 12.50/12.60 inference(scs_inference,[],[704,854,5])).
% 12.50/12.60 cnf(922,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(f1(f1(f2(x9221,x9221))),f1(f2(x9221,x9221))),f2(x9222,x9223)),x9224),f2(f2(x9222,x9225),x9224)))),
% 12.50/12.60 inference(scs_inference,[],[817,381,5])).
% 12.50/12.60 cnf(1033,plain,
% 12.50/12.60 (~P1(f2(f2(f2(f1(f1(f2(x10331,x10331))),f1(f2(x10331,x10331))),f2(a3,x10332)),f2(f2(f1(a4),a4),a4)))),
% 12.50/12.60 inference(scs_inference,[],[4,922,5])).
% 12.50/12.60 cnf(1052,plain,
% 12.50/12.60 (P1(f2(f2(f2(x10521,x10521),x10522),f2(f2(x10522,x10523),f2(x10524,x10523))))),
% 12.50/12.60 inference(scs_inference,[],[21,678,5])).
% 12.50/12.60 cnf(1093,plain,
% 12.50/12.60 (P1(f2(f2(f2(f2(x10931,x10932),f2(f2(f1(x10931),x10931),x10932)),x10933),f2(x10934,x10933)))),
% 12.50/12.60 inference(scs_inference,[],[85,1052,5])).
% 12.50/12.60 cnf(1110,plain,
% 12.50/12.60 (~P1(f2(f2(f2(x11101,x11102),f2(f2(f1(x11101),x11101),x11102)),f2(f2(f1(a4),a4),a4)))),
% 12.50/12.60 inference(scs_inference,[],[1093,1033,5])).
% 12.50/12.60 cnf(1113,plain,
% 12.50/12.60 ($false),
% 12.50/12.60 inference(scs_inference,[],[1110,863,1093,5]),
% 12.50/12.60 ['proof']).
% 12.50/12.60 % SZS output end Proof
% 12.50/12.60 % Total time :12.080000s
%------------------------------------------------------------------------------