%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 11:19:06 AM UTC 2026
% Result : Unsatisfiable 281.67s 281.78s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.07/0.33 % Computer : n003.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Sat Sep 5 18:44:06 UTC 2026
% 0.07/0.33 % CPUTime :
% 0.31/0.47 start to proof:theBenchmark
% 281.67/281.77 %-------------------------------------------
% 281.67/281.78 % File :CSE---1.7
% 281.67/281.78 % Problem :theBenchmark
% 281.67/281.78 % Transform :cnf
% 281.67/281.78 % Format :tptp:raw
% 281.67/281.78 % Command :java -jar mcs_scs.jar %d %s
% 281.67/281.78
% 281.67/281.78 % Result :Theorem 281.306492s
% 281.67/281.78 % Output :CNFRefutation 281.306492s
% 281.67/281.78 %-------------------------------------------
% 281.67/281.78 %--------------------------------------------------------------------------
% 281.67/281.78 % File : LCL397-1 : TPTP v9.3.1. Released v2.3.0.
% 281.67/281.78 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 281.67/281.78 % Problem : CN-63 depends on the Lukasiewicz system
% 281.67/281.78 % Version : [McC92] axioms.
% 281.67/281.78 % English : An axiomatisation of the Implication/Negation 2 valued
% 281.67/281.78 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 281.67/281.78 % Show that CN-63 depends on the Lukasiewicz system.
% 281.67/281.78
% 281.67/281.78 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 281.67/281.78 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 281.67/281.78 % Source : [Wos96]
% 281.67/281.78 % Names : thesis_63 [Wos96]
% 281.67/281.78
% 281.67/281.78 % Status : Unsatisfiable
% 281.67/281.78 % Rating : 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.12 v5.0.0, 0.13 v4.0.1, 0.00 v2.6.0, 0.14 v2.5.0, 0.00 v2.3.0
% 281.67/281.78 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 281.67/281.78 % Number of literals : 7 ( 0 equ; 3 neg)
% 281.67/281.78 % Maximal clause size : 3 ( 1 avg)
% 281.67/281.78 % Maximal term depth : 4 ( 2 avg)
% 281.67/281.78 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 281.67/281.78 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 281.67/281.78 % Number of variables : 8 ( 1 sgn)
% 281.67/281.78 % SPC : CNF_UNS_RFO_NEQ_HRN
% 281.67/281.78
% 281.67/281.78 % Comments :
% 281.67/281.78 %--------------------------------------------------------------------------
% 281.67/281.78 cnf(condensed_detachment,axiom,
% 281.67/281.78 ( ~ is_a_theorem(implies(X,Y))
% 281.67/281.78 | ~ is_a_theorem(X)
% 281.67/281.78 | is_a_theorem(Y) ) ).
% 281.67/281.78
% 281.67/281.78 cnf(cn_1,axiom,
% 281.67/281.78 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 281.67/281.78
% 281.67/281.78 cnf(cn_2,axiom,
% 281.67/281.78 is_a_theorem(implies(implies(not(X),X),X)) ).
% 281.67/281.78
% 281.67/281.78 cnf(cn_3,axiom,
% 281.67/281.78 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 281.67/281.78
% 281.67/281.78 cnf(prove_cn_63,negated_conjecture,
% 281.67/281.78 ~ is_a_theorem(implies(x,implies(y,y))) ).
% 281.67/281.78
% 281.67/281.78 %--------------------------------------------------------------------------
% 281.67/281.78 %-------------------------------------------
% 281.67/281.78 % Proof found
% 281.67/281.78 % SZS status Theorem for theBenchmark
% 281.67/281.78 % SZS output start Proof
% 281.67/281.78 %ClaNum:5(EqnAxiom:0)
% 281.67/281.78 %VarNum:16(SingletonVarNum:8)
% 281.67/281.78 %MaxLitNum:3
% 281.67/281.78 %MaxfuncDepth:3
% 281.67/281.78 %SharedTerms:5
% 281.67/281.78 %goalClause: 4
% 281.67/281.78 %singleGoalClaCount:1
% 281.67/281.78 [4]~P1(f2(a3,f2(a4,a4)))
% 281.67/281.78 [2]P1(f2(f2(f1(x21),x21),x21))
% 281.67/281.78 [1]P1(f2(x11,f2(f1(x11),x12)))
% 281.67/281.78 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 281.67/281.78 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 281.67/281.78 %EqnAxiom
% 281.67/281.78
% 281.67/281.78 %-------------------------------------------
% 281.67/281.79 cnf(6,plain,
% 281.67/281.79 (P1(f2(f2(f2(f1(x61),x62),x63),f2(x61,x63)))),
% 281.67/281.79 inference(scs_inference,[],[1,3,5])).
% 281.67/281.79 cnf(9,plain,
% 281.67/281.79 (~P1(f2(f2(f1(a3),x91),f2(a4,a4)))),
% 281.67/281.79 inference(scs_inference,[],[6,4,5])).
% 281.67/281.79 cnf(19,plain,
% 281.67/281.79 (P1(f2(x191,x191))),
% 281.67/281.79 inference(scs_inference,[],[6,2,5])).
% 281.67/281.79 cnf(23,plain,
% 281.67/281.79 (P1(f2(f1(f2(x231,x231)),x232))),
% 281.67/281.79 inference(scs_inference,[],[19,1,5])).
% 281.67/281.79 cnf(77,plain,
% 281.67/281.79 (~P1(f2(f2(f1(f2(f1(a3),x771)),x772),f2(a4,a4)))),
% 281.67/281.79 inference(scs_inference,[],[9,6,5])).
% 281.67/281.79 cnf(264,plain,
% 281.67/281.79 (~P1(f2(f2(f2(f1(x2641),x2641),x2641),f2(f2(f1(f2(f1(a3),x2642)),x2643),f2(a4,a4))))),
% 281.67/281.79 inference(scs_inference,[],[2,77,5])).
% 281.67/281.79 cnf(1514,plain,
% 281.67/281.79 (P1(f2(f2(x15141,x15142),f2(f1(f2(x15143,x15143)),x15142)))),
% 281.67/281.79 inference(scs_inference,[],[3,23,5])).
% 281.67/281.79 cnf(1518,plain,
% 281.67/281.79 ($false),
% 281.67/281.79 inference(scs_inference,[],[3,1514,264,5]),
% 281.67/281.79 ['proof']).
% 281.67/281.79 % SZS output end Proof
% 281.67/281.79 % Total time :281.306492s
%------------------------------------------------------------------------------