%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 79.70s 79.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.01 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 4 22:25:42 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.08/0.38 start to proof:theBenchmark
% 79.70/79.96 %-------------------------------------------
% 79.70/79.96 % File :CSE---1.7
% 79.70/79.96 % Problem :theBenchmark
% 79.70/79.96 % Transform :cnf
% 79.70/79.96 % Format :tptp:raw
% 79.70/79.96 % Command :java -jar mcs_scs.jar %d %s
% 79.70/79.96
% 79.70/79.96 % Result :Theorem 79.582870s
% 79.70/79.96 % Output :CNFRefutation 79.582870s
% 79.70/79.96 %-------------------------------------------
% 79.70/79.96 %--------------------------------------------------------------------------
% 79.70/79.96 % File : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 79.70/79.96 % Domain : Logic Calculi (Implication/Negation 2 valued sentential)
% 79.70/79.96 % Problem : CN-1 depends on the Church system
% 79.70/79.96 % Version : [ANL] axioms : Reduced > Incomplete.
% 79.70/79.96 % English : Axiomatisations of the Implication/Negation 2 valued
% 79.70/79.96 % sentential calculus are {CN-1,CN-2,CN-3} by Lukasiewicz,
% 79.70/79.96 % {CN-18,CN-21,CN-35,CN-39,CN-39,CN-40,CN-46} by Frege,
% 79.70/79.96 % {CN-3,CN-18,CN-21,CN-22,CN-30,CN-54} by Hilbert, {CN-18,
% 79.70/79.96 % CN-35,CN-49} by Church, {CN-19,CN-37,CN-59} by Lukasiewicz,
% 79.70/79.96 % {CN-19,CN-37,CN-60} by Wos, and the single Meredith axiom.
% 79.70/79.96 % Show that CN-1 depends on a simplified Church system.
% 79.70/79.96
% 79.70/79.96 % Refs :
% 79.70/79.96 % Source : [ANL]
% 79.70/79.96 % Names : morgan.six.ver1.in [ANL]
% 79.70/79.96
% 79.70/79.96 % Status : Unsatisfiable
% 79.70/79.96 % 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 v5.1.0, 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 v2.1.0, 0.00 v2.0.0
% 79.70/79.96 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% 79.70/79.96 % Number of literals : 6 ( 0 equ; 3 neg)
% 79.70/79.96 % Maximal clause size : 3 ( 1 avg)
% 79.70/79.96 % Maximal term depth : 4 ( 2 avg)
% 79.70/79.96 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 79.70/79.96 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 79.70/79.96 % Number of variables : 7 ( 1 sgn)
% 79.70/79.96 % SPC : CNF_UNS_RFO_NEQ_HRN
% 79.70/79.96
% 79.70/79.96 % Comments : Contributed to the ANL library by Charles Morgan.
% 79.70/79.96 %--------------------------------------------------------------------------
% 79.70/79.96 cnf(condensed_detachment,axiom,
% 79.70/79.96 ( ~ is_a_theorem(implies(X,Y))
% 79.70/79.96 | ~ is_a_theorem(X)
% 79.70/79.96 | is_a_theorem(Y) ) ).
% 79.70/79.96
% 79.70/79.96 cnf(cn_18,axiom,
% 79.70/79.96 is_a_theorem(implies(X,implies(Y,X))) ).
% 79.70/79.96
% 79.70/79.96 cnf(cn_35,axiom,
% 79.70/79.96 is_a_theorem(implies(implies(X,implies(Y,Z)),implies(implies(X,Y),implies(X,Z)))) ).
% 79.70/79.96
% 79.70/79.96 cnf(prove_cn_1,negated_conjecture,
% 79.70/79.96 ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))) ).
% 79.70/79.96
% 79.70/79.96 %--------------------------------------------------------------------------
% 79.70/79.96 %-------------------------------------------
% 79.70/79.96 % Proof found
% 79.70/79.96 % SZS status Theorem for theBenchmark
% 79.70/79.96 % SZS output start Proof
% 79.70/79.96 %ClaNum:4(EqnAxiom:0)
% 79.70/79.96 %VarNum:14(SingletonVarNum:7)
% 79.70/79.96 %MaxLitNum:3
% 79.70/79.96 %MaxfuncDepth:3
% 79.70/79.96 %SharedTerms:9
% 79.70/79.96 %goalClause: 3
% 79.70/79.96 %singleGoalClaCount:1
% 79.70/79.96 [3]~P1(f1(f1(a2,a3),f1(f1(a3,a4),f1(a2,a4))))
% 79.70/79.96 [1]P1(f1(x11,f1(x12,x11)))
% 79.70/79.96 [2]P1(f1(f1(x21,f1(x22,x23)),f1(f1(x21,x22),f1(x21,x23))))
% 79.70/79.96 [4]P1(x41)+~P1(x42)+~P1(f1(x42,x41))
% 79.70/79.96 %EqnAxiom
% 79.70/79.96
% 79.70/79.96 %-------------------------------------------
% 79.70/79.96 cnf(41,plain,
% 79.70/79.96 (~P1(f1(f1(x411,f1(x412,x411)),f1(f1(a2,a3),f1(f1(a3,a4),f1(a2,a4)))))),
% 79.70/79.96 inference(scs_inference,[],[1,3,4])).
% 79.70/79.96 cnf(210,plain,
% 79.70/79.96 (P1(f1(x2101,f1(f1(x2102,f1(x2103,x2104)),f1(f1(x2102,x2103),f1(x2102,x2104)))))),
% 79.70/79.96 inference(scs_inference,[],[1,2,4])).
% 79.70/79.96 cnf(529,plain,
% 79.70/79.96 (~P1(f1(f1(a2,a3),f1(f1(x5291,f1(a2,a3)),f1(f1(a3,a4),f1(a2,a4)))))),
% 79.70/79.96 inference(scs_inference,[],[41,2,4])).
% 79.70/79.96 cnf(597,plain,
% 79.70/79.96 (~P1(f1(f1(x5971,f1(a2,a3)),f1(f1(a3,a4),f1(a2,a4))))),
% 79.70/79.96 inference(scs_inference,[],[529,1,4])).
% 79.70/79.96 cnf(613,plain,
% 79.70/79.96 (~P1(f1(f1(a3,a4),f1(f1(a2,a3),f1(a2,a4))))),
% 79.70/79.96 inference(scs_inference,[],[597,2,4])).
% 79.70/79.96 cnf(726,plain,
% 79.70/79.96 (~P1(f1(f1(x7261,f1(x7262,x7261)),f1(f1(a3,a4),f1(f1(a2,a3),f1(a2,a4)))))),
% 79.70/79.96 inference(scs_inference,[],[613,1,4])).
% 79.70/79.96 cnf(758,plain,
% 79.70/79.96 ($false),
% 79.70/79.96 inference(scs_inference,[],[726,210,2,4]),
% 79.70/79.96 ['proof']).
% 79.70/79.96 % SZS output end Proof
% 79.70/79.96 % Total time :79.582870s
%------------------------------------------------------------------------------