%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 11:18:34 AM UTC 2026
% Result : Unsatisfiable 176.95s 177.12s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 17:12:26 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.23/0.51 start to proof:theBenchmark
% 176.95/177.11 %-------------------------------------------
% 176.95/177.11 % File :CSE---1.7
% 176.95/177.12 % Problem :theBenchmark
% 176.95/177.12 % Transform :cnf
% 176.95/177.12 % Format :tptp:raw
% 176.95/177.12 % Command :java -jar mcs_scs.jar %d %s
% 176.95/177.12
% 176.95/177.12 % Result :Theorem 176.553011s
% 176.95/177.12 % Output :CNFRefutation 176.553011s
% 176.95/177.12 %-------------------------------------------
% 176.95/177.12 %--------------------------------------------------------------------------
% 176.95/177.12 % File : LCL048-1 : TPTP v9.3.1. Released v1.0.0.
% 176.95/177.12 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 176.95/177.12 % Problem : CN-19 depends on the Lukasiewicz system
% 176.95/177.12 % Version : [McC92] axioms.
% 176.95/177.12 % English : Axiomatisations of the Implication/Negation 2 valued
% 176.95/177.12 % sentential calculus are {CN-1,CN-2,CN-3} by Lukasiewicz,
% 176.95/177.12 % {CN-18,CN-21,CN-35,CN-39,CN-39,CN-40,CN-46} by Frege,
% 176.95/177.12 % {CN-3,CN-18,CN-21,CN-22,CN-30,CN-54} by Hilbert, {CN-18,
% 176.95/177.12 % CN-35,CN-49} by Church, {CN-19,CN-37,CN-59} by Lukasiewicz,
% 176.95/177.12 % {CN-19,CN-37,CN-60} by Wos, and the single Meredith axiom.
% 176.95/177.12 % Show that CN-19 depends on the short Lukasiewicz system.
% 176.95/177.12
% 176.95/177.12 % Refs : [Wos96] Wos (1996), The Power of Combining Resonance with Heat
% 176.95/177.12 % : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 176.95/177.12 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 176.95/177.12 % Source : [McC92]
% 176.95/177.12 % Names : thesis_19 [Wos96]
% 176.95/177.12 % : CN-9 [MW92]
% 176.95/177.12 % : cn.in part 3 [OTTER]
% 176.95/177.12
% 176.95/177.12 % Status : Unsatisfiable
% 176.95/177.12 % Rating : 0.00 v9.3.0, 0.06 v9.1.0, 0.07 v9.0.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.25 v5.4.0, 0.28 v5.3.0, 0.35 v5.2.0, 0.15 v5.1.0, 0.31 v5.0.0, 0.20 v4.1.0, 0.33 v4.0.1, 0.00 v3.1.0, 0.17 v2.7.0, 0.25 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.56 v2.1.0, 0.75 v2.0.0
% 176.95/177.12 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 176.95/177.12 % Number of literals : 7 ( 0 equ; 3 neg)
% 176.95/177.12 % Maximal clause size : 3 ( 1 avg)
% 176.95/177.12 % Maximal term depth : 4 ( 2 avg)
% 176.95/177.12 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 176.95/177.12 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 176.95/177.12 % Number of variables : 8 ( 1 sgn)
% 176.95/177.12 % SPC : CNF_UNS_RFO_NEQ_HRN
% 176.95/177.12
% 176.95/177.12 % Comments :
% 176.95/177.12 %--------------------------------------------------------------------------
% 176.95/177.12 cnf(condensed_detachment,axiom,
% 176.95/177.12 ( ~ is_a_theorem(implies(X,Y))
% 176.95/177.12 | ~ is_a_theorem(X)
% 176.95/177.12 | is_a_theorem(Y) ) ).
% 176.95/177.12
% 176.95/177.12 cnf(cn_1,axiom,
% 176.95/177.12 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 176.95/177.12
% 176.95/177.12 cnf(cn_2,axiom,
% 176.95/177.12 is_a_theorem(implies(implies(not(X),X),X)) ).
% 176.95/177.12
% 176.95/177.12 cnf(cn_3,axiom,
% 176.95/177.12 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 176.95/177.12
% 176.95/177.12 cnf(prove_cn_19,negated_conjecture,
% 176.95/177.12 ~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))) ).
% 176.95/177.12
% 176.95/177.12 %--------------------------------------------------------------------------
% 176.95/177.12 %-------------------------------------------
% 176.95/177.12 % Proof found
% 176.95/177.12 % SZS status Theorem for theBenchmark
% 176.95/177.12 % SZS output start Proof
% 176.95/177.12 %ClaNum:5(EqnAxiom:0)
% 176.95/177.12 %VarNum:16(SingletonVarNum:8)
% 176.95/177.12 %MaxLitNum:3
% 176.95/177.12 %MaxfuncDepth:3
% 176.95/177.12 %SharedTerms:8
% 176.95/177.12 %goalClause: 4
% 176.95/177.12 %singleGoalClaCount:1
% 176.95/177.12 [4]~P1(f2(f2(f2(a3,a4),a5),f2(a4,a5)))
% 176.95/177.12 [2]P1(f2(f2(f1(x21),x21),x21))
% 176.95/177.12 [1]P1(f2(x11,f2(f1(x11),x12)))
% 176.95/177.12 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 176.95/177.12 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 176.95/177.12 %EqnAxiom
% 176.95/177.12
% 176.95/177.12 %-------------------------------------------
% 176.95/177.13 cnf(9,plain,
% 176.95/177.13 (P1(f2(f2(f2(f1(x91),x92),x93),f2(x91,x93)))),
% 176.95/177.13 inference(scs_inference,[],[1,3,5])).
% 176.95/177.13 cnf(16,plain,
% 176.95/177.13 (P1(f2(x161,x161))),
% 176.95/177.13 inference(scs_inference,[],[9,2,5])).
% 176.95/177.13 cnf(150,plain,
% 176.95/177.13 (P1(f2(f1(f2(f2(x1501,x1502),f2(f2(x1502,x1503),f2(x1501,x1503)))),x1504))),
% 176.95/177.13 inference(scs_inference,[],[1,3,5])).
% 176.95/177.13 cnf(166,plain,
% 176.95/177.13 (P1(f2(f1(f2(f2(f2(f1(x1661),x1662),x1663),f2(x1661,x1663))),x1664))),
% 176.95/177.13 inference(scs_inference,[],[1,9,5])).
% 176.95/177.13 cnf(174,plain,
% 176.95/177.13 (P1(f2(f2(x1741,x1742),f2(f1(f2(f2(f2(f1(x1743),x1744),x1745),f2(x1743,x1745))),x1742)))),
% 176.95/177.13 inference(scs_inference,[],[166,3,5])).
% 176.95/177.13 cnf(219,plain,
% 176.95/177.13 (P1(f2(x2191,f2(f1(f2(f2(f2(f1(x2192),x2193),x2194),f2(x2192,x2194))),x2195)))),
% 176.95/177.13 inference(scs_inference,[],[174,9,5])).
% 176.95/177.13 cnf(238,plain,
% 176.95/177.13 (P1(f2(x2381,f2(f1(f2(f1(x2381),x2382)),x2383)))),
% 176.95/177.13 inference(scs_inference,[],[1,9,5])).
% 176.95/177.13 cnf(246,plain,
% 176.95/177.13 (P1(f2(f2(x2461,x2462),f2(f2(f1(x2461),x2461),x2462)))),
% 176.95/177.13 inference(scs_inference,[],[2,3,5])).
% 176.95/177.13 cnf(254,plain,
% 176.95/177.13 (P1(f2(f2(f1(f2(f1(x2541),x2541)),f2(f1(x2541),x2541)),x2541))),
% 176.95/177.13 inference(scs_inference,[],[2,246,5])).
% 176.95/177.13 cnf(264,plain,
% 176.95/177.13 (P1(f2(f2(x2641,x2642),f2(f2(f1(f2(f1(x2641),x2641)),f2(f1(x2641),x2641)),x2642)))),
% 176.95/177.13 inference(scs_inference,[],[3,254,5])).
% 176.95/177.13 cnf(272,plain,
% 177.07/177.13 (P1(f2(f2(f2(f1(f2(f1(x2721),x2722)),x2723),x2724),f2(x2721,x2724)))),
% 177.07/177.13 inference(scs_inference,[],[3,238,5])).
% 177.07/177.13 cnf(281,plain,
% 177.07/177.13 (P1(f2(f2(f1(f2(f1(f2(x2811,x2812)),f2(x2811,x2812))),f2(f1(f2(x2811,x2812)),f2(x2811,x2812))),f2(f2(x2812,x2813),f2(x2811,x2813))))),
% 177.07/177.13 inference(scs_inference,[],[3,264,5])).
% 177.07/177.13 cnf(290,plain,
% 177.07/177.13 (P1(f2(f2(f2(x2901,x2902),x2903),f2(f2(f2(f1(x2901),x2904),x2902),x2903)))),
% 177.07/177.13 inference(scs_inference,[],[281,219,5])).
% 177.07/177.13 cnf(309,plain,
% 177.07/177.13 (P1(f2(f2(f1(f2(x3091,x3092)),f2(x3091,x3092)),f2(f2(x3092,x3093),f2(x3091,x3093))))),
% 177.07/177.13 inference(scs_inference,[],[9,281,5])).
% 177.07/177.13 cnf(316,plain,
% 177.07/177.13 (P1(f2(x3161,f2(f2(x3162,x3163),f2(f1(x3161),x3163))))),
% 177.07/177.13 inference(scs_inference,[],[309,272,5])).
% 177.07/177.13 cnf(328,plain,
% 177.07/177.13 (P1(f2(f2(x3281,x3282),f2(f1(f2(x3283,x3283)),x3282)))),
% 177.07/177.13 inference(scs_inference,[],[316,16,5])).
% 177.07/177.13 cnf(379,plain,
% 177.07/177.13 (P1(f2(x3791,f2(f1(f2(x3792,x3792)),x3793)))),
% 177.07/177.13 inference(scs_inference,[],[9,328,5])).
% 177.07/177.13 cnf(386,plain,
% 177.07/177.13 (P1(f2(f2(f2(f2(x3861,x3862),f2(x3863,x3862)),x3864),f2(f2(f1(f2(x3863,x3861)),f2(x3863,x3861)),x3864)))),
% 177.07/177.13 inference(scs_inference,[],[3,309,5])).
% 177.07/177.13 cnf(389,plain,
% 177.07/177.13 (P1(f2(f2(f2(f2(f1(x3891),x3891),x3892),x3893),f2(f2(x3891,x3892),x3893)))),
% 177.07/177.13 inference(scs_inference,[],[3,246,5])).
% 177.07/177.13 cnf(400,plain,
% 177.07/177.13 (P1(f2(f2(f2(f1(f2(x4001,x4001)),x4002),x4003),f2(x4004,x4003)))),
% 177.07/177.13 inference(scs_inference,[],[3,379,5])).
% 177.07/177.13 cnf(432,plain,
% 177.07/177.13 (P1(f2(f2(f2(f1(x4321),x4322),x4323),f2(f2(x4323,x4324),f2(x4321,x4324))))),
% 177.07/177.13 inference(scs_inference,[],[290,3,5])).
% 177.07/177.13 cnf(471,plain,
% 177.07/177.13 (P1(f2(f2(f2(f2(x4711,x4712),f2(x4713,x4712)),x4714),f2(f2(f2(f1(x4713),x4715),x4711),x4714)))),
% 177.07/177.13 inference(scs_inference,[],[3,432,5])).
% 177.07/177.13 cnf(474,plain,
% 177.07/177.13 (P1(f2(f2(f2(f2(x4741,x4742),f2(x4743,x4742)),x4744),f2(f2(x4743,x4741),x4744)))),
% 177.07/177.13 inference(scs_inference,[],[309,150,5])).
% 177.07/177.13 cnf(505,plain,
% 177.07/177.13 (P1(f2(f2(f1(f2(x5051,f2(x5052,x5053))),f2(x5051,f2(x5052,x5053))),f2(f2(x5054,x5052),f2(x5051,f2(x5054,x5053)))))),
% 177.07/177.13 inference(scs_inference,[],[386,474,5])).
% 177.07/177.13 cnf(548,plain,
% 177.07/177.13 (P1(f2(f2(f2(x5481,x5481),x5482),f2(x5483,x5482)))),
% 177.07/177.13 inference(scs_inference,[],[389,400,5])).
% 177.07/177.13 cnf(552,plain,
% 177.07/177.13 (P1(f2(f2(f2(x5521,x5522),x5523),f2(f2(f2(x5524,x5524),x5522),x5523)))),
% 177.07/177.13 inference(scs_inference,[],[3,548,5])).
% 177.07/177.13 cnf(563,plain,
% 177.07/177.13 (P1(f2(f2(x5631,f2(x5632,x5633)),f2(f2(x5634,x5632),f2(x5631,f2(x5634,x5633)))))),
% 177.07/177.13 inference(scs_inference,[],[9,505,5])).
% 177.07/177.13 cnf(577,plain,
% 177.07/177.13 (P1(f2(f2(x5771,x5772),f2(f2(f2(x5773,x5773),x5771),x5772)))),
% 177.07/177.13 inference(scs_inference,[],[389,552,5])).
% 177.07/177.13 cnf(825,plain,
% 177.07/177.13 (P1(f2(f2(f2(f1(x8251),x8252),f2(f1(x8253),x8253)),f2(f2(x8253,x8254),f2(x8251,x8254))))),
% 177.07/177.13 inference(scs_inference,[],[471,389,5])).
% 177.07/177.13 cnf(1215,plain,
% 177.07/177.13 (P1(f2(f2(f1(x12151),f1(x12152)),f2(f2(x12151,x12153),f2(x12152,x12153))))),
% 177.07/177.13 inference(scs_inference,[],[474,825,5])).
% 177.07/177.13 cnf(1391,plain,
% 177.07/177.13 (P1(f2(x13911,f2(f2(x13911,x13912),f2(x13913,x13912))))),
% 177.07/177.13 inference(scs_inference,[],[9,1215,5])).
% 177.07/177.13 cnf(3381,plain,
% 177.07/177.13 (P1(f2(f2(x33811,f2(f2(x33812,x33812),x33813)),f2(f2(x33813,x33814),f2(x33811,x33814))))),
% 177.07/177.13 inference(scs_inference,[],[563,577,5])).
% 177.07/177.13 cnf(4433,plain,
% 177.07/177.13 ($false),
% 177.07/177.13 inference(scs_inference,[],[3381,1391,4,5]),
% 177.07/177.13 ['proof']).
% 177.07/177.13 % SZS output end Proof
% 177.07/177.13 % Total time :176.553011s
%------------------------------------------------------------------------------