TSTP Solution File: LCL187-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:48:19 EDT 2023
% Result : Unsatisfiable 61.75s 61.87s
% Output : CNFRefutation 61.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.16 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.15/0.37 % Computer : n004.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri Aug 25 05:18:08 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.62 start to proof:theBenchmark
% 61.75/61.86 %-------------------------------------------
% 61.75/61.86 % File :CSE---1.6
% 61.75/61.86 % Problem :theBenchmark
% 61.75/61.86 % Transform :cnf
% 61.75/61.86 % Format :tptp:raw
% 61.75/61.86 % Command :java -jar mcs_scs.jar %d %s
% 61.75/61.86
% 61.75/61.86 % Result :Theorem 61.120000s
% 61.75/61.86 % Output :CNFRefutation 61.120000s
% 61.75/61.86 %-------------------------------------------
% 61.75/61.87 %--------------------------------------------------------------------------
% 61.75/61.87 % File : LCL187-3 : TPTP v8.1.2. Released v2.3.0.
% 61.75/61.87 % Domain : Logic Calculi (Propositional)
% 61.75/61.87 % Problem : Principia Mathematica 2.24
% 61.75/61.87 % Version : [WR27] axioms.
% 61.75/61.87 % English :
% 61.75/61.87
% 61.75/61.87 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 61.75/61.87 % Source : [WR27]
% 61.75/61.87 % Names : Problem 2.24 [WR27]
% 61.75/61.87
% 61.75/61.87 % Status : Unsatisfiable
% 61.75/61.87 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.22 v7.2.0, 0.25 v7.1.0, 0.29 v6.3.0, 0.17 v6.2.0, 0.00 v6.0.0, 0.33 v5.5.0, 0.25 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.38 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 v3.1.0, 0.11 v2.7.0, 0.00 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 61.75/61.87 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 61.75/61.87 % Number of literals : 12 ( 1 equ; 4 neg)
% 61.75/61.87 % Maximal clause size : 3 ( 1 avg)
% 61.75/61.87 % Maximal term depth : 4 ( 2 avg)
% 61.75/61.87 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 61.75/61.87 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 61.75/61.87 % Number of variables : 16 ( 1 sgn)
% 61.75/61.87 % SPC : CNF_UNS_RFO_SEQ_HRN
% 61.75/61.87
% 61.75/61.87 % Comments :
% 61.75/61.87 %--------------------------------------------------------------------------
% 61.75/61.87 %----Include axioms of propositional logic
% 61.75/61.87 include('Axioms/LCL004-0.ax').
% 61.75/61.87 %--------------------------------------------------------------------------
% 61.75/61.87 cnf(prove_this,negated_conjecture,
% 61.75/61.87 ~ theorem(implies(p,implies(not(p),q))) ).
% 61.75/61.87
% 61.75/61.87 %--------------------------------------------------------------------------
% 61.75/61.87 %-------------------------------------------
% 61.75/61.87 % Proof found
% 61.75/61.87 % SZS status Theorem for theBenchmark
% 61.75/61.87 % SZS output start Proof
% 61.75/61.89 %ClaNum:8(EqnAxiom:0)
% 61.75/61.89 %VarNum:28(SingletonVarNum:14)
% 61.75/61.89 %MaxLitNum:3
% 61.75/61.89 %MaxfuncDepth:4
% 61.75/61.89 %SharedTerms:7
% 61.75/61.89 %goalClause: 6
% 61.75/61.89 %singleGoalClaCount:1
% 61.75/61.89 [6]~P2(f2(f1(a3),f2(f1(f1(a3)),a4)))
% 61.75/61.89 [2]P1(f2(f1(f2(x21,x21)),x21))
% 61.75/61.89 [1]P1(f2(f1(x11),f2(x12,x11)))
% 61.75/61.89 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 61.75/61.89 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 61.75/61.89 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 61.75/61.89 [7]~P1(x71)+P2(x71)
% 61.75/61.89 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 61.75/61.89 %EqnAxiom
% 61.75/61.89
% 61.75/61.89 %-------------------------------------------
% 61.75/61.91 cnf(20,plain,
% 61.75/61.91 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 61.75/61.91 inference(scs_inference,[],[3,7])).
% 61.75/61.91 cnf(24,plain,
% 61.75/61.91 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 61.75/61.91 inference(scs_inference,[],[4,7])).
% 61.75/61.91 cnf(28,plain,
% 61.75/61.91 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 61.75/61.91 inference(scs_inference,[],[5,7])).
% 61.75/61.91 cnf(34,plain,
% 61.75/61.91 (~P2(f2(f1(f1(a3)),f2(f1(a3),a4)))),
% 61.75/61.91 inference(scs_inference,[],[24,6,8])).
% 61.75/61.91 cnf(61,plain,
% 61.75/61.91 (~P2(f2(f1(f2(f1(x611),f2(x612,x611))),f2(f1(f1(a3)),f2(f1(a3),a4))))),
% 61.75/61.91 inference(scs_inference,[],[1,34,7,8])).
% 61.75/61.91 cnf(3712,plain,
% 61.75/61.91 ($false),
% 61.75/61.91 inference(scs_inference,[],[20,28,61,8]),
% 61.75/61.91 ['proof']).
% 61.75/61.92 % SZS output end Proof
% 61.75/61.92 % Total time :61.120000s
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