%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL236-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 11:18:52 AM UTC 2026
% Result : Unsatisfiable 61.61s 61.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL236-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.07/0.40 % Computer : n004.cluster.edu
% 0.07/0.40 % Model : x86_64 x86_64
% 0.07/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.40 % Memory : 8046.5625MB
% 0.07/0.40 % OS : Linux 6.8.0-71-generic
% 0.07/0.40 % CPULimit : 300
% 0.07/0.40 % WCLimit : 300
% 0.07/0.41 % DateTime : Sat Sep 5 10:24:14 UTC 2026
% 0.07/0.41 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 61.61/61.87 %-------------------------------------------
% 61.61/61.87 % File :CSE---1.7
% 61.61/61.87 % Problem :theBenchmark
% 61.61/61.87 % Transform :cnf
% 61.61/61.87 % Format :tptp:raw
% 61.61/61.87 % Command :java -jar mcs_scs.jar %d %s
% 61.61/61.87
% 61.61/61.87 % Result :Theorem 61.321962s
% 61.61/61.87 % Output :CNFRefutation 61.321962s
% 61.61/61.87 %-------------------------------------------
% 61.61/61.88 %--------------------------------------------------------------------------
% 61.61/61.88 % File : LCL236-3 : TPTP v9.3.1. Released v2.3.0.
% 61.61/61.88 % Domain : Logic Calculi (Propositional)
% 61.61/61.88 % Problem : Principia Mathematica 3.14
% 61.61/61.88 % Version : [WR27] axioms.
% 61.61/61.88 % English :
% 61.61/61.88
% 61.61/61.88 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 61.61/61.88 % Source : [WR27]
% 61.61/61.88 % Names : Problem 3.14 [WR27]
% 61.61/61.88
% 61.61/61.88 % Status : Unsatisfiable
% 61.61/61.88 % 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, 0.33 v5.5.0, 0.25 v5.4.0, 0.27 v5.3.0, 0.17 v5.2.0, 0.25 v5.1.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.00 v2.3.0
% 61.61/61.88 % Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 3 RR)
% 61.61/61.88 % Number of literals : 13 ( 2 equ; 4 neg)
% 61.61/61.88 % Maximal clause size : 3 ( 1 avg)
% 61.61/61.88 % Maximal term depth : 4 ( 2 avg)
% 61.61/61.88 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 61.61/61.88 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 61.61/61.88 % Number of variables : 18 ( 1 sgn)
% 61.61/61.88 % SPC : CNF_UNS_RFO_SEQ_HRN
% 61.61/61.88
% 61.61/61.88 % Comments :
% 61.61/61.88 %--------------------------------------------------------------------------
% 61.61/61.88 %----Include axioms of propositional logic
% 61.61/61.88 include('Axioms/LCL004-0.ax').
% 61.61/61.88 include('Axioms/LCL004-1.ax').
% 61.61/61.88 %--------------------------------------------------------------------------
% 61.61/61.88 cnf(prove_this,negated_conjecture,
% 61.61/61.88 ~ theorem(implies(or(not(p),not(q)),not(and(p,q)))) ).
% 61.61/61.88
% 61.61/61.88 %--------------------------------------------------------------------------
% 61.61/61.88 %-------------------------------------------
% 61.61/61.88 % Proof found
% 61.61/61.88 % SZS status Theorem for theBenchmark
% 61.61/61.88 % SZS output start Proof
% 61.61/61.88 %ClaNum:8(EqnAxiom:0)
% 61.61/61.88 %VarNum:28(SingletonVarNum:14)
% 61.61/61.88 %MaxLitNum:3
% 61.61/61.88 %MaxfuncDepth:5
% 61.61/61.88 %SharedTerms:9
% 61.61/61.88 %goalClause: 6
% 61.61/61.88 %singleGoalClaCount:1
% 61.61/61.88 [6]~P2(f2(f1(f2(f1(a3),f1(a4))),f1(f1(f2(f1(a3),f1(a4))))))
% 61.61/61.88 [2]P1(f2(f1(f2(x21,x21)),x21))
% 61.61/61.88 [1]P1(f2(f1(x11),f2(x12,x11)))
% 61.61/61.88 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 61.61/61.88 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 61.61/61.88 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 61.61/61.88 [7]~P1(x71)+P2(x71)
% 61.61/61.88 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 61.61/61.88 %EqnAxiom
% 61.61/61.88
% 61.61/61.88 %-------------------------------------------
% 61.94/62.18 cnf(764953,plain,
% 61.94/62.18 (P2(f2(f1(x7649531),f2(x7649532,x7649531)))),
% 61.94/62.18 inference(scs_inference,[],[1,7])).
% 61.94/62.18 cnf(764957,plain,
% 61.94/62.18 (P2(f2(f1(f2(x7649571,x7649572)),f2(x7649572,x7649571)))),
% 61.94/62.18 inference(scs_inference,[],[3,7])).
% 61.94/62.18 cnf(765325,plain,
% 61.94/62.18 (P2(f2(x7653251,f2(f1(x7653252),x7653252)))),
% 61.94/62.18 inference(scs_inference,[],[4,764953,7,8])).
% 61.94/62.18 cnf(765331,plain,
% 61.94/62.18 (P2(f2(f1(x7653311),x7653311))),
% 61.94/62.18 inference(scs_inference,[],[2,765325,7,8])).
% 61.94/62.18 cnf(765482,plain,
% 61.94/62.18 ($false),
% 61.94/62.18 inference(scs_inference,[],[6,765331,764957,8]),
% 61.94/62.18 ['proof']).
% 62.10/62.34 % SZS output end Proof
% 62.10/62.34 % Total time :61.321962s
%------------------------------------------------------------------------------