%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 11:18:35 AM UTC 2026
% Result : Unsatisfiable 181.44s 181.59s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.35 % Computer : n019.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 : Fri Sep 4 23:26:08 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.24/0.51 start to proof:theBenchmark
% 181.44/181.58 %-------------------------------------------
% 181.44/181.58 % File :CSE---1.7
% 181.44/181.58 % Problem :theBenchmark
% 181.44/181.58 % Transform :cnf
% 181.44/181.58 % Format :tptp:raw
% 181.44/181.58 % Command :java -jar mcs_scs.jar %d %s
% 181.44/181.58
% 181.44/181.59 % Result :Theorem 181.082004s
% 181.44/181.59 % Output :CNFRefutation 181.082004s
% 181.44/181.59 %-------------------------------------------
% 181.44/181.59 %--------------------------------------------------------------------------
% 181.44/181.59 % File : LCL065-1 : TPTP v9.3.1. Released v1.0.0.
% 181.44/181.59 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 181.44/181.59 % Problem : CN-2 depends on the Church system
% 181.44/181.59 % Version : [McC92] axioms.
% 181.44/181.59 % English : Axiomatisations of the Implication/Negation 2 valued
% 181.44/181.59 % sentential calculus are {CN-1,CN-2,CN-3} by Lukasiewicz,
% 181.44/181.59 % {CN-18,CN-21,CN-35,CN-39,CN-39,CN-40,CN-46} by Frege,
% 181.44/181.59 % {CN-3,CN-18,CN-21,CN-22,CN-30,CN-54} by Hilbert, {CN-18,
% 181.44/181.59 % CN-35,CN-49} by Church, {CN-19,CN-37,CN-59} by Lukasiewicz,
% 181.44/181.59 % {CN-19,CN-37,CN-60} by Wos, and the single Meredith axiom.
% 181.44/181.59 % Show that CN-2 depends on the Church system.
% 181.44/181.59
% 181.44/181.59 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 181.44/181.59 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 181.44/181.59 % Source : [McC92]
% 181.44/181.59 % Names : CN-26 [MW92]
% 181.44/181.59
% 181.44/181.59 % Status : Unsatisfiable
% 181.44/181.59 % 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, 0.20 v5.2.0, 0.15 v5.1.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.13 v4.0.1, 0.00 v2.7.0, 0.12 v2.6.0, 0.00 v2.5.0, 0.14 v2.4.0, 0.00 v2.1.0, 0.00 v2.0.0
% 181.44/181.59 % Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 2 RR)
% 181.44/181.59 % Number of literals : 7 ( 0 equ; 3 neg)
% 181.44/181.59 % Maximal clause size : 3 ( 1 avg)
% 181.44/181.59 % Maximal term depth : 4 ( 2 avg)
% 181.44/181.59 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 181.44/181.59 % Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% 181.44/181.59 % Number of variables : 9 ( 1 sgn)
% 181.44/181.59 % SPC : CNF_UNS_RFO_NEQ_HRN
% 181.44/181.59
% 181.44/181.59 % Comments :
% 181.44/181.59 %--------------------------------------------------------------------------
% 181.44/181.59 cnf(condensed_detachment,axiom,
% 181.44/181.59 ( ~ is_a_theorem(implies(X,Y))
% 181.44/181.59 | ~ is_a_theorem(X)
% 181.44/181.59 | is_a_theorem(Y) ) ).
% 181.44/181.59
% 181.44/181.59 cnf(cn_18,axiom,
% 181.44/181.59 is_a_theorem(implies(X,implies(Y,X))) ).
% 181.44/181.59
% 181.44/181.59 cnf(cn_35,axiom,
% 181.44/181.59 is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ).
% 181.44/181.59
% 181.44/181.59 cnf(cn_49,axiom,
% 181.44/181.59 is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) ).
% 181.44/181.59
% 181.44/181.59 cnf(prove_cn_2,negated_conjecture,
% 181.44/181.59 ~ is_a_theorem(implies(implies(not(a),a),a)) ).
% 181.44/181.59
% 181.44/181.59 %--------------------------------------------------------------------------
% 181.44/181.59 %-------------------------------------------
% 181.44/181.59 % Proof found
% 181.44/181.59 % SZS status Theorem for theBenchmark
% 181.44/181.59 % SZS output start Proof
% 181.44/181.59 %ClaNum:5(EqnAxiom:0)
% 181.44/181.59 %VarNum:18(SingletonVarNum:9)
% 181.44/181.59 %MaxLitNum:3
% 181.44/181.59 %MaxfuncDepth:3
% 181.44/181.59 %SharedTerms:5
% 181.44/181.59 %goalClause: 4
% 181.44/181.59 %singleGoalClaCount:1
% 181.44/181.59 [4]~P1(f1(f1(f3(a2),a2),a2))
% 181.44/181.59 [1]P1(f1(x11,f1(x12,x11)))
% 181.44/181.59 [2]P1(f1(f1(f3(x21),f3(x22)),f1(x22,x21)))
% 181.44/181.59 [3]P1(f1(f1(x31,f1(x32,x33)),f1(f1(x31,x32),f1(x31,x33))))
% 181.44/181.59 [5]P1(x51)+~P1(x52)+~P1(f1(x52,x51))
% 181.44/181.59 %EqnAxiom
% 181.44/181.59
% 181.44/181.59 %-------------------------------------------
% 181.56/181.60 cnf(9,plain,
% 181.56/181.60 (P1(f1(f1(x91,x92),f1(x91,x91)))),
% 181.56/181.60 inference(scs_inference,[],[1,3,5])).
% 181.56/181.60 cnf(12,plain,
% 181.56/181.60 (P1(f1(x121,x121))),
% 181.56/181.60 inference(scs_inference,[],[1,9,5])).
% 181.56/181.60 cnf(295,plain,
% 181.56/181.60 (P1(f1(x2951,f1(x2952,x2952)))),
% 181.56/181.60 inference(scs_inference,[],[12,1,5])).
% 181.56/181.60 cnf(378,plain,
% 181.56/181.60 (~P1(f1(f1(x3781,f1(x3782,x3782)),f1(f1(f3(a2),a2),a2)))),
% 181.56/181.60 inference(scs_inference,[],[4,295,5])).
% 181.56/181.60 cnf(383,plain,
% 181.56/181.60 (P1(f1(x3831,f1(f1(f3(x3832),f3(x3833)),f1(x3833,x3832))))),
% 181.56/181.60 inference(scs_inference,[],[2,1,5])).
% 181.56/181.60 cnf(388,plain,
% 181.56/181.60 (P1(f1(f1(x3881,f1(f3(x3882),f3(x3883))),f1(x3881,f1(x3883,x3882))))),
% 181.56/181.60 inference(scs_inference,[],[3,383,5])).
% 181.56/181.60 cnf(635,plain,
% 181.56/181.60 (~P1(f1(f1(f3(a2),a2),f1(f1(x6351,x6351),a2)))),
% 181.56/181.60 inference(scs_inference,[],[378,3,5])).
% 181.56/181.60 cnf(730,plain,
% 181.56/181.60 (~P1(f1(f1(f3(a2),a2),f1(f3(a2),f3(f1(x7301,x7301)))))),
% 181.56/181.60 inference(scs_inference,[],[635,388,5])).
% 181.56/181.60 cnf(4329,plain,
% 181.56/181.60 (~P1(f1(f3(a2),f1(a2,f3(f1(x43291,x43291)))))),
% 181.56/181.60 inference(scs_inference,[],[730,3,5])).
% 181.56/181.60 cnf(4412,plain,
% 181.56/181.60 ($false),
% 181.56/181.60 inference(scs_inference,[],[1,4329,388,5]),
% 181.56/181.60 ['proof']).
% 181.56/181.60 % SZS output end Proof
% 181.56/181.60 % Total time :181.082004s
%------------------------------------------------------------------------------