%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 11:19:01 AM UTC 2026
% Result : Unsatisfiable 0.99s 1.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.32 % Computer : n015.cluster.edu
% 0.07/0.32 % Model : x86_64 x86_64
% 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.32 % Memory : 8046.5625MB
% 0.07/0.32 % OS : Linux 6.8.0-71-generic
% 0.07/0.32 % CPULimit : 300
% 0.07/0.32 % WCLimit : 300
% 0.07/0.32 % DateTime : Sat Sep 5 21:54:43 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.25/0.49 start to proof:theBenchmark
% 0.99/1.15 %-------------------------------------------
% 0.99/1.15 % File :CSE---1.7
% 0.99/1.15 % Problem :theBenchmark
% 0.99/1.15 % Transform :cnf
% 0.99/1.15 % Format :tptp:raw
% 0.99/1.15 % Command :java -jar mcs_scs.jar %d %s
% 0.99/1.15
% 0.99/1.15 % Result :Theorem 0.676278s
% 0.99/1.15 % Output :CNFRefutation 0.676278s
% 0.99/1.15 %-------------------------------------------
% 0.99/1.15 %--------------------------------------------------------------------------
% 0.99/1.15 % File : LCL362-1 : TPTP v9.3.1. Released v2.3.0.
% 0.99/1.15 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 0.99/1.15 % Problem : CN-11 depends on the Lukasiewicz system
% 0.99/1.15 % Version : [McC92] axioms.
% 0.99/1.15 % English : An axiomatisation of the Implication/Negation 2 valued
% 0.99/1.15 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 0.99/1.15 % Show that CN-11 depends on the Lukasiewicz system.
% 0.99/1.15
% 0.99/1.15 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 0.99/1.15 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 0.99/1.15 % Source : [Wos96]
% 0.99/1.15 % Names : thesis_11 [Wos96]
% 0.99/1.15
% 0.99/1.15 % Status : Unsatisfiable
% 0.99/1.15 % 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
% 0.99/1.15 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 0.99/1.15 % Number of literals : 7 ( 0 equ; 3 neg)
% 0.99/1.15 % Maximal clause size : 3 ( 1 avg)
% 0.99/1.15 % Maximal term depth : 6 ( 2 avg)
% 0.99/1.15 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.99/1.15 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.99/1.15 % Number of variables : 8 ( 1 sgn)
% 0.99/1.15 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.99/1.15
% 0.99/1.15 % Comments :
% 0.99/1.15 %--------------------------------------------------------------------------
% 0.99/1.15 cnf(condensed_detachment,axiom,
% 0.99/1.15 ( ~ is_a_theorem(implies(X,Y))
% 0.99/1.15 | ~ is_a_theorem(X)
% 0.99/1.15 | is_a_theorem(Y) ) ).
% 0.99/1.15
% 0.99/1.15 cnf(cn_1,axiom,
% 0.99/1.15 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 0.99/1.16
% 0.99/1.16 cnf(cn_2,axiom,
% 0.99/1.16 is_a_theorem(implies(implies(not(X),X),X)) ).
% 0.99/1.16
% 0.99/1.16 cnf(cn_3,axiom,
% 0.99/1.16 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 0.99/1.16
% 0.99/1.16 cnf(prove_cn_11,negated_conjecture,
% 0.99/1.16 ~ is_a_theorem(implies(implies(x,implies(implies(not(y),y),y)),implies(implies(not(y),y),y))) ).
% 0.99/1.16
% 0.99/1.16 %--------------------------------------------------------------------------
% 0.99/1.16 %-------------------------------------------
% 0.99/1.16 % Proof found
% 0.99/1.16 % SZS status Theorem for theBenchmark
% 0.99/1.16 % SZS output start Proof
% 0.99/1.16 %ClaNum:5(EqnAxiom:0)
% 0.99/1.16 %VarNum:16(SingletonVarNum:8)
% 0.99/1.16 %MaxLitNum:3
% 0.99/1.16 %MaxfuncDepth:4
% 0.99/1.16 %SharedTerms:8
% 0.99/1.16 %goalClause: 4
% 0.99/1.16 %singleGoalClaCount:1
% 0.99/1.16 [4]~P1(f2(f2(a3,f2(f2(f1(a4),a4),a4)),f2(f2(f1(a4),a4),a4)))
% 0.99/1.16 [2]P1(f2(f2(f1(x21),x21),x21))
% 0.99/1.16 [1]P1(f2(x11,f2(f1(x11),x12)))
% 0.99/1.16 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 0.99/1.16 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 0.99/1.16 %EqnAxiom
% 0.99/1.16
% 0.99/1.16 %-------------------------------------------
% 0.99/1.16 cnf(6,plain,
% 0.99/1.16 (P1(f2(f2(x61,x62),f2(f2(f1(x61),x61),x62)))),
% 0.99/1.16 inference(scs_inference,[],[2,3,5])).
% 0.99/1.16 cnf(9,plain,
% 0.99/1.16 (P1(f2(f2(f1(x91),x91),f2(f1(x91),x92)))),
% 0.99/1.16 inference(scs_inference,[],[6,1,5])).
% 0.99/1.16 cnf(19,plain,
% 0.99/1.16 (P1(f2(f2(f2(f1(x191),x192),x193),f2(x191,x193)))),
% 0.99/1.16 inference(scs_inference,[],[1,3,5])).
% 0.99/1.16 cnf(25,plain,
% 0.99/1.16 (P1(f2(f1(f2(f2(f1(x251),x251),x251)),x252))),
% 0.99/1.16 inference(scs_inference,[],[2,1,5])).
% 0.99/1.16 cnf(31,plain,
% 0.99/1.16 (P1(f2(f2(f1(f2(x311,x312)),f2(x311,x312)),f2(f2(x312,x313),f2(x311,x313))))),
% 0.99/1.16 inference(scs_inference,[],[3,6,5])).
% 0.99/1.16 cnf(34,plain,
% 0.99/1.16 (P1(f2(f1(f2(f2(x341,x342),f2(f2(x342,x343),f2(x341,x343)))),x344))),
% 0.99/1.16 inference(scs_inference,[],[3,1,5])).
% 0.99/1.16 cnf(37,plain,
% 0.99/1.16 (P1(f2(f2(f2(f2(x371,x372),f2(x373,x372)),x374),f2(f2(x373,x371),x374)))),
% 0.99/1.16 inference(scs_inference,[],[31,34,5])).
% 0.99/1.16 cnf(65,plain,
% 0.99/1.16 (P1(f2(f1(f2(f2(f2(f1(x651),x652),x653),f2(x651,x653))),x654))),
% 0.99/1.16 inference(scs_inference,[],[19,1,5])).
% 0.99/1.16 cnf(71,plain,
% 0.99/1.16 (P1(f2(f2(f2(x711,x712),x713),f2(f2(f2(f1(x711),x714),x712),x713)))),
% 0.99/1.16 inference(scs_inference,[],[31,65,5])).
% 0.99/1.16 cnf(81,plain,
% 0.99/1.16 (P1(f2(f1(f2(f2(f1(f2(x811,x812)),f2(x811,x812)),f2(f2(x812,x813),f2(x811,x813)))),x814))),
% 0.99/1.16 inference(scs_inference,[],[31,1,5])).
% 0.99/1.16 cnf(84,plain,
% 0.99/1.16 (P1(f2(f2(f2(f2(x841,x842),f2(x843,x842)),x844),f2(f2(f1(f2(x843,x841)),f2(x843,x841)),x844)))),
% 0.99/1.16 inference(scs_inference,[],[31,81,5])).
% 0.99/1.16 cnf(103,plain,
% 0.99/1.16 (P1(f2(f2(f1(f2(x1031,x1032)),f2(x1031,x1032)),f2(f2(f2(f1(x1032),x1033),x1034),f2(x1031,x1034))))),
% 0.99/1.16 inference(scs_inference,[],[71,84,5])).
% 0.99/1.16 cnf(113,plain,
% 0.99/1.16 (P1(f2(f2(f1(f2(x1131,f2(x1132,x1133))),f2(x1131,f2(x1132,x1133))),f2(f2(x1134,x1132),f2(x1131,f2(x1134,x1133)))))),
% 0.99/1.16 inference(scs_inference,[],[37,84,5])).
% 0.99/1.16 cnf(121,plain,
% 0.99/1.16 (P1(f2(f2(x1211,x1212),f2(f2(f1(f2(x1212,x1213)),f2(x1212,x1213)),f2(x1211,x1213))))),
% 0.99/1.16 inference(scs_inference,[],[25,113,5])).
% 0.99/1.16 cnf(125,plain,
% 0.99/1.16 (P1(f2(f2(f2(f2(x1251,x1252),x1253),x1254),f2(f2(f2(f2(x1252,x1255),f2(x1251,x1255)),x1253),x1254)))),
% 0.99/1.16 inference(scs_inference,[],[37,3,5])).
% 0.99/1.16 cnf(169,plain,
% 0.99/1.16 (P1(f2(f2(f2(f2(f2(f1(x1691),x1692),x1693),f2(x1694,x1693)),x1695),f2(f2(f1(f2(x1694,x1691)),f2(x1694,x1691)),x1695)))),
% 0.99/1.16 inference(scs_inference,[],[103,3,5])).
% 0.99/1.16 cnf(199,plain,
% 0.99/1.16 (P1(f2(f2(x1991,f2(x1992,x1993)),f2(f2(x1994,x1992),f2(x1991,f2(x1994,x1993)))))),
% 0.99/1.16 inference(scs_inference,[],[34,113,5])).
% 0.99/1.16 cnf(203,plain,
% 0.99/1.16 (P1(f2(f2(x2031,f2(f1(f2(x2032,x2033)),f2(x2032,x2033))),f2(f2(x2034,x2032),f2(x2031,f2(x2034,x2033)))))),
% 0.99/1.16 inference(scs_inference,[],[121,199,5])).
% 0.99/1.16 cnf(221,plain,
% 0.99/1.16 (P1(f2(f2(f1(f2(x2211,x2212)),f2(x2211,x2212)),f2(f2(f2(f2(x2213,x2214),f2(f1(x2212),x2214)),x2215),f2(x2211,x2215))))),
% 0.99/1.16 inference(scs_inference,[],[125,169,5])).
% 0.99/1.16 cnf(236,plain,
% 0.99/1.16 (P1(f2(f2(f2(f2(x2361,x2362),f2(f1(x2363),x2362)),x2364),f2(f2(f1(x2363),x2363),x2364)))),
% 0.99/1.16 inference(scs_inference,[],[25,221,5])).
% 0.99/1.16 cnf(463,plain,
% 0.99/1.16 (P1(f2(f2(f1(f2(x4631,x4632)),f2(x4631,x4632)),f2(f2(x4633,x4631),f2(f2(x4634,f2(x4631,x4632)),f2(x4633,x4632)))))),
% 0.99/1.16 inference(scs_inference,[],[203,236,5])).
% 0.99/1.16 cnf(502,plain,
% 0.99/1.16 (P1(f2(f2(x5021,f2(f1(x5022),x5022)),f2(f2(x5023,f2(f2(f1(x5022),x5022),x5022)),f2(x5021,x5022))))),
% 0.99/1.16 inference(scs_inference,[],[25,463,5])).
% 0.99/1.16 cnf(506,plain,
% 0.99/1.16 ($false),
% 0.99/1.16 inference(scs_inference,[],[9,502,4,5]),
% 0.99/1.16 ['proof']).
% 0.99/1.16 % SZS output end Proof
% 0.99/1.16 % Total time :0.676278s
%------------------------------------------------------------------------------