%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL361-1 : 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 : n031.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 74.61s 74.76s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL361-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.34 % Computer : n031.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 5 01:38:24 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.24/0.52 start to proof:theBenchmark
% 74.61/74.76 %-------------------------------------------
% 74.61/74.76 % File :CSE---1.7
% 74.61/74.76 % Problem :theBenchmark
% 74.61/74.76 % Transform :cnf
% 74.61/74.76 % Format :tptp:raw
% 74.61/74.76 % Command :java -jar mcs_scs.jar %d %s
% 74.61/74.76
% 74.61/74.76 % Result :Theorem 74.247725s
% 74.61/74.76 % Output :CNFRefutation 74.247725s
% 74.61/74.76 %-------------------------------------------
% 74.61/74.76 %--------------------------------------------------------------------------
% 74.61/74.76 % File : LCL361-1 : TPTP v9.3.1. Released v2.3.0.
% 74.61/74.76 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 74.61/74.76 % Problem : CN-10 depends on the Lukasiewicz system
% 74.61/74.76 % Version : [McC92] axioms.
% 74.61/74.76 % English : An axiomatisation of the Implication/Negation 2 valued
% 74.61/74.76 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 74.61/74.76 % Show that CN-10 depends on the Lukasiewicz system.
% 74.61/74.76
% 74.61/74.76 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 74.61/74.76 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 74.61/74.76 % Source : [Wos96]
% 74.61/74.76 % Names : thesis_10 [Wos96]
% 74.61/74.76
% 74.61/74.76 % Status : Unsatisfiable
% 74.61/74.76 % 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
% 74.61/74.76 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 74.61/74.76 % Number of literals : 7 ( 0 equ; 3 neg)
% 74.61/74.76 % Maximal clause size : 3 ( 1 avg)
% 74.61/74.76 % Maximal term depth : 6 ( 2 avg)
% 74.61/74.76 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 74.61/74.76 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 74.61/74.76 % Number of variables : 8 ( 1 sgn)
% 74.61/74.76 % SPC : CNF_UNS_RFO_NEQ_HRN
% 74.61/74.76
% 74.61/74.76 % Comments :
% 74.61/74.76 %--------------------------------------------------------------------------
% 74.61/74.76 cnf(condensed_detachment,axiom,
% 74.61/74.76 ( ~ is_a_theorem(implies(X,Y))
% 74.61/74.76 | ~ is_a_theorem(X)
% 74.61/74.76 | is_a_theorem(Y) ) ).
% 74.61/74.76
% 74.61/74.76 cnf(cn_1,axiom,
% 74.61/74.76 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 74.61/74.76
% 74.61/74.76 cnf(cn_2,axiom,
% 74.61/74.76 is_a_theorem(implies(implies(not(X),X),X)) ).
% 74.61/74.76
% 74.61/74.76 cnf(cn_3,axiom,
% 74.61/74.76 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 74.61/74.76
% 74.61/74.76 cnf(prove_cn_10,negated_conjecture,
% 74.61/74.76 ~ is_a_theorem(implies(x,implies(implies(implies(not(x),x),x),implies(implies(y,x),x)))) ).
% 74.61/74.76
% 74.61/74.76 %--------------------------------------------------------------------------
% 74.61/74.76 %-------------------------------------------
% 74.61/74.76 % Proof found
% 74.61/74.76 % SZS status Theorem for theBenchmark
% 74.61/74.76 % SZS output start Proof
% 74.61/74.76 %ClaNum:5(EqnAxiom:0)
% 74.61/74.76 %VarNum:16(SingletonVarNum:8)
% 74.61/74.76 %MaxLitNum:3
% 74.61/74.76 %MaxfuncDepth:4
% 74.61/74.76 %SharedTerms:10
% 74.61/74.76 %goalClause: 4
% 74.61/74.76 %singleGoalClaCount:1
% 74.61/74.76 [4]~P1(f2(a3,f2(f2(f2(f1(a3),a3),a3),f2(f2(a4,a3),a3))))
% 74.61/74.76 [2]P1(f2(f2(f1(x21),x21),x21))
% 74.61/74.76 [1]P1(f2(x11,f2(f1(x11),x12)))
% 74.61/74.76 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 74.61/74.76 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 74.61/74.76 %EqnAxiom
% 74.61/74.76
% 74.61/74.76 %-------------------------------------------
% 74.61/74.77 cnf(6,plain,
% 74.61/74.77 (P1(f2(f2(x61,x62),f2(f2(f1(x61),x61),x62)))),
% 74.61/74.77 inference(scs_inference,[],[2,3,5])).
% 74.61/74.77 cnf(9,plain,
% 74.61/74.77 (P1(f2(f2(f1(x91),x91),f2(f1(x91),x92)))),
% 74.61/74.77 inference(scs_inference,[],[6,1,5])).
% 74.61/74.77 cnf(19,plain,
% 74.61/74.77 (P1(f2(f2(f2(f1(x191),x192),x193),f2(x191,x193)))),
% 74.61/74.77 inference(scs_inference,[],[1,3,5])).
% 74.61/74.77 cnf(22,plain,
% 74.61/74.77 (~P1(f2(f2(f1(a3),x221),f2(f2(f2(f1(a3),a3),a3),f2(f2(a4,a3),a3))))),
% 74.61/74.77 inference(scs_inference,[],[19,4,5])).
% 74.61/74.77 cnf(35,plain,
% 74.61/74.77 (P1(f2(f1(f2(f2(x351,x352),f2(f2(x352,x353),f2(x351,x353)))),x354))),
% 74.61/74.77 inference(scs_inference,[],[3,1,5])).
% 74.61/74.77 cnf(41,plain,
% 74.61/74.77 (P1(f2(f1(f2(f2(f2(f1(x411),x412),x413),f2(x411,x413))),x414))),
% 74.61/74.77 inference(scs_inference,[],[19,1,5])).
% 74.61/74.77 cnf(47,plain,
% 74.61/74.77 (P1(f2(f1(f2(f2(f1(x471),x471),f2(f1(x471),x472))),x473))),
% 74.61/74.77 inference(scs_inference,[],[9,1,5])).
% 74.61/74.77 cnf(78,plain,
% 74.61/74.77 (P1(f2(f2(f1(f2(x781,x782)),f2(x781,x782)),f2(f2(x782,x783),f2(x781,x783))))),
% 74.61/74.77 inference(scs_inference,[],[3,6,5])).
% 74.61/74.77 cnf(85,plain,
% 74.61/74.77 (P1(f2(f2(f2(x851,x852),x853),f2(f2(f2(f1(x851),x854),x852),x853)))),
% 74.61/74.77 inference(scs_inference,[],[78,41,5])).
% 74.61/74.77 cnf(94,plain,
% 74.61/74.77 (P1(f2(f2(f2(f1(f2(f1(x941),x942)),x943),x944),f2(x941,x944)))),
% 74.61/74.77 inference(scs_inference,[],[19,85,5])).
% 74.61/74.77 cnf(137,plain,
% 74.61/74.77 (P1(f2(f2(f2(f2(x1371,x1372),f2(x1373,x1372)),x1374),f2(f2(x1373,x1371),x1374)))),
% 74.61/74.77 inference(scs_inference,[],[78,35,5])).
% 74.61/74.77 cnf(146,plain,
% 74.61/74.77 (P1(f2(f2(f2(f1(x1461),x1462),x1463),f2(f2(f1(x1461),x1461),x1463)))),
% 74.61/74.77 inference(scs_inference,[],[78,47,5])).
% 74.61/74.77 cnf(169,plain,
% 74.61/74.77 (P1(f2(f2(x1691,f1(f2(f1(x1692),x1693))),f2(x1692,f2(x1691,x1694))))),
% 74.61/74.77 inference(scs_inference,[],[94,137,5])).
% 74.61/74.77 cnf(199,plain,
% 74.61/74.77 (P1(f2(f2(f1(x1991),x1991),f2(x1992,f2(f1(x1991),x1993))))),
% 74.61/74.77 inference(scs_inference,[],[146,169,5])).
% 74.61/74.77 cnf(346,plain,
% 74.61/74.77 (P1(f2(f2(f2(x3461,f2(f1(x3462),x3463)),x3464),f2(f2(f1(x3462),x3462),x3464)))),
% 74.61/74.77 inference(scs_inference,[],[3,199,5])).
% 74.61/74.77 cnf(353,plain,
% 74.61/74.77 ($false),
% 74.61/74.77 inference(scs_inference,[],[3,22,346,5]),
% 74.61/74.77 ['proof']).
% 74.61/74.77 % SZS output end Proof
% 74.61/74.77 % Total time :74.247725s
%------------------------------------------------------------------------------