%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : LCL174-3 : 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 : n010.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 11:18:43 AM UTC 2026
% Result : Unsatisfiable 58.32s 58.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL174-3 : 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
% 0.11/0.36 % Computer : n010.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 11:34:08 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.25/0.53 start to proof:theBenchmark
% 58.32/58.59 %-------------------------------------------
% 58.32/58.59 % File :CSE---1.7
% 58.32/58.59 % Problem :theBenchmark
% 58.32/58.59 % Transform :cnf
% 58.32/58.59 % Format :tptp:raw
% 58.32/58.59 % Command :java -jar mcs_scs.jar %d %s
% 58.32/58.59
% 58.32/58.59 % Result :Theorem 58.008114s
% 58.32/58.59 % Output :CNFRefutation 58.008114s
% 58.32/58.59 %-------------------------------------------
% 58.32/58.59 %--------------------------------------------------------------------------
% 58.32/58.59 % File : LCL174-3 : TPTP v9.3.1. Released v2.3.0.
% 58.32/58.59 % Domain : Logic Calculi (Propositional)
% 58.32/58.59 % Problem : Principia Mathematica 2.06
% 58.32/58.59 % Version : [WR27] axioms.
% 58.32/58.59 % English :
% 58.32/58.59
% 58.32/58.59 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 58.32/58.59 % Source : [Wr27]
% 58.32/58.59 % Names : Problem 2.06 [WR27]
% 58.32/58.59
% 58.32/58.59 % Status : Unsatisfiable
% 58.32/58.59 % Rating : 0.00 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.44 v5.4.0, 0.47 v5.3.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v4.0.0, 0.17 v3.7.0, 0.33 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.14 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 58.32/58.59 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 58.32/58.59 % Number of literals : 12 ( 1 equ; 4 neg)
% 58.32/58.59 % Maximal clause size : 3 ( 1 avg)
% 58.32/58.59 % Maximal term depth : 4 ( 2 avg)
% 58.32/58.59 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 58.32/58.59 % Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% 58.32/58.59 % Number of variables : 16 ( 1 sgn)
% 58.32/58.59 % SPC : CNF_UNS_RFO_SEQ_HRN
% 58.32/58.59
% 58.32/58.59 % Comments :
% 58.32/58.59 %--------------------------------------------------------------------------
% 58.32/58.59 %----Include axioms of propositional logic
% 58.32/58.59 include('Axioms/LCL004-0.ax').
% 58.32/58.59 %--------------------------------------------------------------------------
% 58.32/58.59 cnf(prove_this,negated_conjecture,
% 58.32/58.59 ~ theorem(implies(implies(p,q),implies(implies(q,r),implies(p,r)))) ).
% 58.32/58.59
% 58.32/58.59 %--------------------------------------------------------------------------
% 58.32/58.59 %-------------------------------------------
% 58.32/58.60 % Proof found
% 58.32/58.60 % SZS status Theorem for theBenchmark
% 58.32/58.60 % SZS output start Proof
% 58.32/58.60 %ClaNum:8(EqnAxiom:0)
% 58.32/58.60 %VarNum:28(SingletonVarNum:14)
% 58.32/58.60 %MaxLitNum:3
% 58.32/58.60 %MaxfuncDepth:4
% 58.32/58.60 %SharedTerms:13
% 58.32/58.60 %goalClause: 6
% 58.32/58.60 %singleGoalClaCount:1
% 58.32/58.60 [6]~P2(f2(f1(f2(f1(a3),a4)),f2(f1(f2(f1(a4),a5)),f2(f1(a3),a5))))
% 58.32/58.60 [2]P1(f2(f1(f2(x21,x21)),x21))
% 58.32/58.60 [1]P1(f2(f1(x11),f2(x12,x11)))
% 58.32/58.60 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 58.32/58.60 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 58.32/58.60 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 58.32/58.60 [7]~P1(x71)+P2(x71)
% 58.32/58.60 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 58.32/58.60 %EqnAxiom
% 58.32/58.60
% 58.32/58.60 %-------------------------------------------
% 58.61/58.89 cnf(303869,plain,
% 58.61/58.89 (P2(f2(f1(f2(x3038691,f2(x3038692,x3038693))),f2(x3038692,f2(x3038691,x3038693))))),
% 58.61/58.89 inference(scs_inference,[],[4,7])).
% 58.61/58.89 cnf(303873,plain,
% 58.61/58.89 ($false),
% 58.61/58.89 inference(scs_inference,[],[6,303869,5,7,8]),
% 58.61/58.89 ['proof']).
% 58.72/58.99 % SZS output end Proof
% 58.72/58.99 % Total time :58.008114s
%------------------------------------------------------------------------------