%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL287-3 : 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 : n004.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 11:18:56 AM UTC 2026
% Result : Unsatisfiable 58.50s 58.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL287-3 : 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
% 0.08/0.34 % Computer : n004.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Sat Sep 5 05:19:14 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.23/0.51 start to proof:theBenchmark
% 58.50/58.66 %-------------------------------------------
% 58.50/58.66 % File :CSE---1.7
% 58.50/58.66 % Problem :theBenchmark
% 58.50/58.66 % Transform :cnf
% 58.50/58.66 % Format :tptp:raw
% 58.50/58.66 % Command :java -jar mcs_scs.jar %d %s
% 58.50/58.66
% 58.50/58.66 % Result :Theorem 58.155929s
% 58.50/58.66 % Output :CNFRefutation 58.155929s
% 58.50/58.66 %-------------------------------------------
% 58.50/58.67 %--------------------------------------------------------------------------
% 58.50/58.67 % File : LCL287-3 : TPTP v9.3.1. Released v2.3.0.
% 58.50/58.67 % Domain : Logic Calculi (Propositional)
% 58.50/58.67 % Problem : Principia Mathematica 4.5
% 58.50/58.67 % Version : [WR27] axioms.
% 58.50/58.67 % English :
% 58.50/58.67
% 58.50/58.67 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 58.50/58.67 % Source : [WR27]
% 58.50/58.67 % Names : Problem 4.5 [WR27]
% 58.50/58.67
% 58.50/58.67 % Status : Unsatisfiable
% 58.50/58.67 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.00 v7.0.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.31 v5.4.0, 0.40 v5.3.0, 0.42 v5.2.0, 0.12 v5.1.0, 0.14 v5.0.0, 0.29 v4.1.0, 0.22 v4.0.1, 0.00 v3.7.0, 0.17 v3.4.0, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.3.0
% 58.50/58.67 % Syntax : Number of clauses : 11 ( 9 unt; 0 nHn; 3 RR)
% 58.50/58.67 % Number of literals : 14 ( 3 equ; 4 neg)
% 58.50/58.67 % Maximal clause size : 3 ( 1 avg)
% 58.50/58.67 % Maximal term depth : 5 ( 2 avg)
% 58.50/58.67 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 58.50/58.67 % Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% 58.50/58.67 % Number of variables : 20 ( 1 sgn)
% 58.50/58.67 % SPC : CNF_UNS_RFO_SEQ_HRN
% 58.50/58.67
% 58.50/58.67 % Comments :
% 58.50/58.67 %--------------------------------------------------------------------------
% 58.50/58.67 %----Include axioms of propositional logic
% 58.50/58.67 include('Axioms/LCL004-0.ax').
% 58.50/58.67 include('Axioms/LCL004-1.ax').
% 58.50/58.67 include('Axioms/LCL004-2.ax').
% 58.50/58.67 %--------------------------------------------------------------------------
% 58.50/58.67 cnf(prove_this,negated_conjecture,
% 58.50/58.67 ~ theorem(equivalent(and(p,q),not(or(not(p),not(q))))) ).
% 58.50/58.67
% 58.50/58.67 %--------------------------------------------------------------------------
% 58.50/58.67 %-------------------------------------------
% 58.50/58.67 % Proof found
% 58.50/58.67 % SZS status Theorem for theBenchmark
% 58.50/58.67 % SZS output start Proof
% 58.50/58.67 %ClaNum:8(EqnAxiom:0)
% 58.50/58.67 %VarNum:28(SingletonVarNum:14)
% 58.50/58.67 %MaxLitNum:3
% 58.50/58.67 %MaxfuncDepth:7
% 58.50/58.67 %SharedTerms:12
% 58.50/58.67 %goalClause: 6
% 58.50/58.67 %singleGoalClaCount:1
% 58.50/58.67 [6]~P2(f1(f2(f1(f2(f1(f1(f2(f1(a3),f1(a4)))),f1(f2(f1(a3),f1(a4))))),f1(f2(f1(f1(f2(f1(a3),f1(a4)))),f1(f2(f1(a3),f1(a4))))))))
% 58.50/58.67 [2]P1(f2(f1(f2(x21,x21)),x21))
% 58.50/58.67 [1]P1(f2(f1(x11),f2(x12,x11)))
% 58.50/58.67 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 58.50/58.67 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 58.50/58.67 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 58.50/58.67 [7]~P1(x71)+P2(x71)
% 58.50/58.67 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 58.50/58.67 %EqnAxiom
% 58.50/58.67
% 58.50/58.67 %-------------------------------------------
% 58.79/58.92 cnf(248369,plain,
% 58.79/58.92 (P2(f2(f1(x2483691),f2(x2483692,x2483691)))),
% 58.79/58.92 inference(scs_inference,[],[1,7])).
% 58.79/58.92 cnf(248373,plain,
% 58.79/58.92 (P2(f2(f1(f2(x2483731,x2483731)),x2483731))),
% 58.79/58.92 inference(scs_inference,[],[2,7])).
% 58.79/58.92 cnf(248386,plain,
% 58.79/58.92 (P2(f2(x2483861,f1(f2(x2483861,x2483861))))),
% 58.79/58.92 inference(scs_inference,[],[3,248373,7,8])).
% 58.79/58.92 cnf(248425,plain,
% 58.79/58.92 (P2(f2(x2484251,f2(f1(x2484252),x2484252)))),
% 58.79/58.92 inference(scs_inference,[],[4,248369,7,8])).
% 58.79/58.92 cnf(248449,plain,
% 58.79/58.92 (P2(f2(f1(x2484491),x2484491))),
% 58.79/58.92 inference(scs_inference,[],[2,248425,7,8])).
% 58.79/58.92 cnf(248450,plain,
% 58.79/58.92 ($false),
% 58.79/58.92 inference(scs_inference,[],[248449,248386,6,8]),
% 58.79/58.92 ['proof']).
% 58.79/58.99 % SZS output end Proof
% 58.79/58.99 % Total time :58.155929s
%------------------------------------------------------------------------------