%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL356-1 : 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 : n009.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 58.14s 58.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sat Sep 5 09:17:36 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.26/0.46 start to proof:theBenchmark
% 58.14/58.35 %-------------------------------------------
% 58.14/58.35 % File :CSE---1.7
% 58.14/58.35 % Problem :theBenchmark
% 58.14/58.35 % Transform :cnf
% 58.14/58.35 % Format :tptp:raw
% 58.14/58.35 % Command :java -jar mcs_scs.jar %d %s
% 58.14/58.35
% 58.14/58.35 % Result :Theorem 57.881092s
% 58.14/58.35 % Output :CNFRefutation 57.881092s
% 58.14/58.35 %-------------------------------------------
% 58.14/58.35 %--------------------------------------------------------------------------
% 58.14/58.35 % File : LCL356-1 : TPTP v9.3.1. Released v2.3.0.
% 58.14/58.35 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 58.14/58.35 % Problem : CN-05 depends on the Lukasiewicz system
% 58.14/58.35 % Version : [McC92] axioms.
% 58.14/58.35 % English : An axiomatisation of the Implication/Negation 2 valued
% 58.14/58.35 % sentential calculus is {CN-1,CN-2,CN-3} by Lukasiewicz.
% 58.14/58.35 % Show that CN-05 depends on the Lukasiewicz system.
% 58.14/58.35
% 58.14/58.35 % Refs : [Wos96] Wos (1996), Combining Resonance with Heat
% 58.14/58.35 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 58.14/58.35 % Source : [Wos96]
% 58.14/58.35 % Names : thesis_05 [Wos96]
% 58.14/58.35
% 58.14/58.35 % Status : Unsatisfiable
% 58.14/58.35 % 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, 0.00 v2.3.0
% 58.14/58.35 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 58.14/58.35 % Number of literals : 7 ( 0 equ; 3 neg)
% 58.14/58.35 % Maximal clause size : 3 ( 1 avg)
% 58.14/58.35 % Maximal term depth : 5 ( 2 avg)
% 58.14/58.35 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 58.14/58.35 % Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% 58.14/58.35 % Number of variables : 8 ( 1 sgn)
% 58.14/58.35 % SPC : CNF_UNS_RFO_NEQ_HRN
% 58.14/58.35
% 58.14/58.35 % Comments :
% 58.14/58.35 %--------------------------------------------------------------------------
% 58.14/58.35 cnf(condensed_detachment,axiom,
% 58.14/58.35 ( ~ is_a_theorem(implies(X,Y))
% 58.14/58.35 | ~ is_a_theorem(X)
% 58.14/58.35 | is_a_theorem(Y) ) ).
% 58.14/58.35
% 58.14/58.35 cnf(cn_1,axiom,
% 58.14/58.35 is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) ).
% 58.14/58.35
% 58.14/58.35 cnf(cn_2,axiom,
% 58.14/58.35 is_a_theorem(implies(implies(not(X),X),X)) ).
% 58.14/58.35
% 58.14/58.35 cnf(cn_3,axiom,
% 58.14/58.35 is_a_theorem(implies(X,implies(not(X),Y))) ).
% 58.14/58.35
% 58.14/58.35 cnf(prove_cn_05,negated_conjecture,
% 58.14/58.35 ~ is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(u,y),implies(x,implies(u,z))))) ).
% 58.14/58.35
% 58.14/58.35 %--------------------------------------------------------------------------
% 58.14/58.35 %-------------------------------------------
% 58.14/58.35 % Proof found
% 58.14/58.35 % SZS status Theorem for theBenchmark
% 58.14/58.35 % SZS output start Proof
% 58.14/58.35 %ClaNum:5(EqnAxiom:0)
% 58.14/58.35 %VarNum:16(SingletonVarNum:8)
% 58.14/58.35 %MaxLitNum:3
% 58.14/58.35 %MaxfuncDepth:4
% 58.14/58.35 %SharedTerms:12
% 58.14/58.35 %goalClause: 4
% 58.14/58.35 %singleGoalClaCount:1
% 58.14/58.35 [4]~P1(f2(f2(a3,f2(a5,a6)),f2(f2(a4,a5),f2(a3,f2(a4,a6)))))
% 58.14/58.35 [2]P1(f2(f2(f1(x21),x21),x21))
% 58.14/58.35 [1]P1(f2(x11,f2(f1(x11),x12)))
% 58.14/58.35 [3]P1(f2(f2(x31,x32),f2(f2(x32,x33),f2(x31,x33))))
% 58.14/58.35 [5]P1(x51)+~P1(x52)+~P1(f2(x52,x51))
% 58.14/58.35 %EqnAxiom
% 58.14/58.35
% 58.14/58.35 %-------------------------------------------
% 58.14/58.36 cnf(6,plain,
% 58.14/58.36 (P1(f2(f2(x61,x62),f2(f2(f1(x61),x61),x62)))),
% 58.14/58.36 inference(scs_inference,[],[2,3,5])).
% 58.14/58.36 cnf(17,plain,
% 58.14/58.36 (P1(f2(f2(f1(f2(x171,x172)),f2(x171,x172)),f2(f2(x172,x173),f2(x171,x173))))),
% 58.14/58.36 inference(scs_inference,[],[3,6,5])).
% 58.14/58.36 cnf(20,plain,
% 58.14/58.36 (P1(f2(f2(x201,x202),f2(x203,x202)))+~P1(f2(f1(f2(x203,x201)),f2(x203,x201)))),
% 58.14/58.36 inference(scs_inference,[],[17,5])).
% 58.14/58.36 cnf(90,plain,
% 58.14/58.36 (P1(f2(f2(f2(f2(x901,x902),f2(x903,x902)),x904),f2(f2(x903,x901),x904)))),
% 58.14/58.36 inference(scs_inference,[],[3,1,5,20])).
% 58.14/58.36 cnf(92,plain,
% 58.14/58.36 (~P1(f2(f2(f2(f2(a5,a6),x921),f2(a3,x921)),f2(f2(a4,a5),f2(a3,f2(a4,a6)))))),
% 58.14/58.36 inference(scs_inference,[],[90,4,5])).
% 58.14/58.36 cnf(98,plain,
% 58.14/58.36 ($false),
% 58.14/58.36 inference(scs_inference,[],[90,92]),
% 58.14/58.36 ['proof']).
% 58.14/58.36 % SZS output end Proof
% 58.14/58.36 % Total time :57.881092s
%------------------------------------------------------------------------------