%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL189-3 : 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 : n008.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 11:18:46 AM UTC 2026
% Result : Unsatisfiable 86.29s 86.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL189-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.35 % Computer : n008.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 : Fri Sep 4 18:49:53 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.24/0.51 start to proof:theBenchmark
% 86.29/86.43 %-------------------------------------------
% 86.29/86.43 % File :CSE---1.7
% 86.29/86.43 % Problem :theBenchmark
% 86.29/86.43 % Transform :cnf
% 86.29/86.43 % Format :tptp:raw
% 86.29/86.43 % Command :java -jar mcs_scs.jar %d %s
% 86.29/86.43
% 86.29/86.43 % Result :Theorem 85.895790s
% 86.29/86.43 % Output :CNFRefutation 85.895790s
% 86.29/86.43 %-------------------------------------------
% 86.29/86.43 %--------------------------------------------------------------------------
% 86.29/86.43 % File : LCL189-3 : TPTP v9.3.1. Released v2.3.0.
% 86.29/86.43 % Domain : Logic Calculi (Propositional)
% 86.29/86.43 % Problem : Principia Mathematica 2.26
% 86.29/86.43 % Version : [WR27] axioms.
% 86.29/86.43 % English :
% 86.29/86.43
% 86.29/86.43 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 86.29/86.43 % Source : [WR27]
% 86.29/86.43 % Names : Problem 2.26 [WR27]
% 86.29/86.43
% 86.29/86.43 % Status : Unsatisfiable
% 86.29/86.43 % Rating : 0.00 v9.3.0, 0.17 v9.1.0, 0.15 v9.0.0, 0.00 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.11 v5.5.0, 0.06 v5.4.0, 0.07 v5.3.0, 0.17 v5.2.0, 0.12 v5.1.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v3.3.0, 0.14 v3.2.0, 0.00 v2.3.0
% 86.29/86.43 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 86.29/86.43 % Number of literals : 12 ( 1 equ; 4 neg)
% 86.29/86.43 % Maximal clause size : 3 ( 1 avg)
% 86.29/86.43 % Maximal term depth : 4 ( 2 avg)
% 86.29/86.43 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 86.29/86.43 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 86.29/86.43 % Number of variables : 16 ( 1 sgn)
% 86.29/86.43 % SPC : CNF_UNS_RFO_SEQ_HRN
% 86.29/86.43
% 86.29/86.43 % Comments :
% 86.29/86.43 %--------------------------------------------------------------------------
% 86.29/86.43 %----Include axioms of propositional logic
% 86.29/86.43 include('Axioms/LCL004-0.ax').
% 86.29/86.43 %--------------------------------------------------------------------------
% 86.29/86.43 cnf(prove_this,negated_conjecture,
% 86.29/86.43 ~ theorem(or(not(p),implies(implies(p,q),q))) ).
% 86.29/86.43
% 86.29/86.43 %--------------------------------------------------------------------------
% 86.29/86.43 %-------------------------------------------
% 86.29/86.43 % Proof found
% 86.29/86.43 % SZS status Theorem for theBenchmark
% 86.29/86.43 % SZS output start Proof
% 86.29/86.43 %ClaNum:8(EqnAxiom:0)
% 86.29/86.43 %VarNum:28(SingletonVarNum:14)
% 86.29/86.43 %MaxLitNum:3
% 86.29/86.43 %MaxfuncDepth:5
% 86.29/86.43 %SharedTerms:8
% 86.29/86.43 %goalClause: 6
% 86.29/86.43 %singleGoalClaCount:1
% 86.29/86.43 [6]~P2(f2(f1(a3),f2(f1(f2(f1(a3),a4)),a4)))
% 86.29/86.43 [2]P1(f2(f1(f2(x21,x21)),x21))
% 86.29/86.43 [1]P1(f2(f1(x11),f2(x12,x11)))
% 86.29/86.43 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 86.29/86.43 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 86.29/86.43 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 86.29/86.43 [7]~P1(x71)+P2(x71)
% 86.29/86.43 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 86.29/86.43 %EqnAxiom
% 86.29/86.43
% 86.29/86.43 %-------------------------------------------
% 86.60/86.75 cnf(328619,plain,
% 86.60/86.75 (P2(f2(f1(f2(x3286191,x3286191)),x3286191))),
% 86.60/86.75 inference(scs_inference,[],[2,7])).
% 86.60/86.75 cnf(329032,plain,
% 86.60/86.75 (P2(f2(f1(f2(x3290321,f2(x3290322,x3290322))),f2(x3290321,x3290322)))),
% 86.60/86.75 inference(scs_inference,[],[5,328619,7,8])).
% 86.60/86.75 cnf(330508,plain,
% 86.60/86.75 (P2(f2(f1(x3305081),x3305081))),
% 86.60/86.75 inference(scs_inference,[],[1,329032,7,8])).
% 86.60/86.75 cnf(330517,plain,
% 86.60/86.75 ($false),
% 86.60/86.75 inference(scs_inference,[],[4,330508,6,7,8]),
% 86.60/86.75 ['proof']).
% 86.71/86.86 % SZS output end Proof
% 86.71/86.86 % Total time :85.895790s
%------------------------------------------------------------------------------