TSTP Solution File: LCL199-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n029.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 06:48:24 EDT 2023
% Result : Unsatisfiable 34.82s 34.86s
% Output : CNFRefutation 34.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 18:50:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.60 start to proof:theBenchmark
% 34.82/34.85 %-------------------------------------------
% 34.82/34.85 % File :CSE---1.6
% 34.82/34.85 % Problem :theBenchmark
% 34.82/34.85 % Transform :cnf
% 34.82/34.85 % Format :tptp:raw
% 34.82/34.85 % Command :java -jar mcs_scs.jar %d %s
% 34.82/34.85
% 34.82/34.85 % Result :Theorem 34.190000s
% 34.82/34.85 % Output :CNFRefutation 34.190000s
% 34.82/34.85 %-------------------------------------------
% 34.82/34.86 %--------------------------------------------------------------------------
% 34.82/34.86 % File : LCL199-1 : TPTP v8.1.2. Released v1.1.0.
% 34.82/34.86 % Domain : Logic Calculi (Propositional)
% 34.82/34.86 % Problem : Principia Mathematica 2.45
% 34.82/34.86 % Version : [WR27] axioms : Reduced & Augmented.
% 34.82/34.86 % English :
% 34.82/34.86
% 34.82/34.86 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 34.82/34.86 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 34.82/34.86 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 34.82/34.86 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 34.82/34.86 % Source : [SE94]
% 34.82/34.86 % Names : Problem 2.45 [WR27]
% 34.82/34.86
% 34.82/34.86 % Status : Unsatisfiable
% 34.82/34.86 % Rating : 0.00 v5.5.0, 0.06 v5.4.0, 0.11 v5.3.0, 0.15 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.0.0
% 34.82/34.86 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 34.82/34.86 % Number of literals : 14 ( 0 equ; 6 neg)
% 34.82/34.86 % Maximal clause size : 3 ( 1 avg)
% 34.82/34.86 % Maximal term depth : 5 ( 2 avg)
% 34.82/34.86 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 34.82/34.86 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 34.82/34.86 % Number of variables : 17 ( 1 sgn)
% 34.82/34.86 % SPC : CNF_UNS_RFO_NEQ_HRN
% 34.82/34.86
% 34.82/34.86 % Comments : Reduced to use only or and not, and includes a redundant rule
% 34.82/34.86 % of transitivity of implication, and a reduced rule of
% 34.82/34.86 % detachment.
% 34.82/34.86 %--------------------------------------------------------------------------
% 34.82/34.86 %----Include axioms of propositional logic
% 34.82/34.86 include('Axioms/LCL003-0.ax').
% 34.82/34.86 %--------------------------------------------------------------------------
% 34.82/34.86 cnf(prove_this,negated_conjecture,
% 34.82/34.86 ~ theorem(or(not(not(or(p,q))),not(p))) ).
% 34.82/34.86
% 34.82/34.86 %--------------------------------------------------------------------------
% 34.82/34.86 %-------------------------------------------
% 34.82/34.86 % Proof found
% 34.82/34.86 % SZS status Theorem for theBenchmark
% 34.82/34.86 % SZS output start Proof
% 34.82/34.86 %ClaNum:9(EqnAxiom:0)
% 34.82/34.86 %VarNum:34(SingletonVarNum:17)
% 34.82/34.86 %MaxLitNum:3
% 34.82/34.86 %MaxfuncDepth:3
% 34.82/34.86 %SharedTerms:8
% 34.82/34.86 %goalClause: 6
% 34.82/34.86 %singleGoalClaCount:1
% 34.82/34.86 [6]~P2(f2(f1(f1(f2(a3,a4))),f1(a3)))
% 34.82/34.87 [2]P1(f2(f1(f2(x21,x21)),x21))
% 34.82/34.87 [1]P1(f2(f1(x11),f2(x12,x11)))
% 34.82/34.87 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 34.82/34.87 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 34.82/34.87 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 34.82/34.87 [7]~P1(x71)+P2(x71)
% 34.82/34.87 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 34.82/34.87 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 34.82/34.87 %EqnAxiom
% 34.82/34.87
% 34.82/34.87 %-------------------------------------------
% 34.82/34.88 cnf(11,plain,
% 34.82/34.88 (~P2(f1(a3))),
% 34.82/34.88 inference(scs_inference,[],[6,1,7,8])).
% 34.82/34.88 cnf(17,plain,
% 34.82/34.88 (P2(f2(f1(f2(x171,x171)),x171))),
% 34.82/34.88 inference(scs_inference,[],[2,7])).
% 34.82/34.88 cnf(27,plain,
% 34.82/34.88 (P1(f2(f1(x271),f2(x272,x271)))),
% 34.82/34.88 inference(rename_variables,[],[1])).
% 34.82/34.88 cnf(29,plain,
% 34.82/34.88 (P2(f2(f1(x291),x291))),
% 34.82/34.88 inference(scs_inference,[],[1,27,11,17,7,8,9])).
% 34.82/34.88 cnf(4280,plain,
% 34.82/34.88 (~P2(f2(f1(a3),f1(f1(f2(a3,a4)))))),
% 34.82/34.88 inference(scs_inference,[],[6,3,8])).
% 34.82/34.88 cnf(4286,plain,
% 34.82/34.88 (~P2(f2(f1(f2(x42861,a3)),f1(f1(f2(a3,a4)))))),
% 34.82/34.88 inference(scs_inference,[],[4280,1,9])).
% 34.82/34.88 cnf(4307,plain,
% 34.82/34.88 (~P2(f2(f1(f2(a3,x43071)),f1(f1(f2(a3,a4)))))),
% 34.82/34.88 inference(scs_inference,[],[4286,3,9])).
% 34.82/34.88 cnf(4378,plain,
% 34.82/34.88 ($false),
% 34.82/34.88 inference(scs_inference,[],[4307,29,3,8]),
% 34.82/34.88 ['proof']).
% 34.82/34.88 % SZS output end Proof
% 34.82/34.88 % Total time :34.190000s
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