TSTP Solution File: LCL236-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL236-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n032.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 06:48:37 EDT 2023
% Result : Unsatisfiable 0.10s 0.72s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.20 % Problem : LCL236-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.06/0.21 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.07/0.42 % Computer : n032.cluster.edu
% 0.07/0.42 % Model : x86_64 x86_64
% 0.07/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.42 % Memory : 8042.1875MB
% 0.07/0.42 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.42 % CPULimit : 300
% 0.07/0.42 % WCLimit : 300
% 0.07/0.42 % DateTime : Fri Aug 25 04:44:27 EDT 2023
% 0.07/0.42 % CPUTime :
% 0.10/0.68 start to proof:theBenchmark
% 0.10/0.71 %-------------------------------------------
% 0.10/0.71 % File :CSE---1.6
% 0.10/0.71 % Problem :theBenchmark
% 0.10/0.71 % Transform :cnf
% 0.10/0.71 % Format :tptp:raw
% 0.10/0.71 % Command :java -jar mcs_scs.jar %d %s
% 0.10/0.71
% 0.10/0.71 % Result :Theorem 0.000000s
% 0.10/0.71 % Output :CNFRefutation 0.000000s
% 0.10/0.71 %-------------------------------------------
% 0.10/0.72 %--------------------------------------------------------------------------
% 0.10/0.72 % File : LCL236-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.10/0.72 % Domain : Logic Calculi (Propositional)
% 0.10/0.72 % Problem : Principia Mathematica 3.14
% 0.10/0.72 % Version : [WR27] axioms : Reduced & Augmented.
% 0.10/0.72 % English :
% 0.10/0.72
% 0.10/0.72 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 0.10/0.72 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 0.10/0.72 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 0.10/0.72 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 0.10/0.72 % Source : [SE94]
% 0.10/0.72 % Names : Problem 3.14 [WR27]
% 0.10/0.72
% 0.10/0.72 % Status : Unsatisfiable
% 0.10/0.72 % 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 v2.3.0
% 0.10/0.72 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 0.10/0.72 % Number of literals : 14 ( 0 equ; 6 neg)
% 0.10/0.72 % Maximal clause size : 3 ( 1 avg)
% 0.10/0.72 % Maximal term depth : 6 ( 2 avg)
% 0.10/0.72 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 0.10/0.72 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 0.10/0.72 % Number of variables : 17 ( 1 sgn)
% 0.10/0.72 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.10/0.72
% 0.10/0.72 % Comments : Reduced to use only or and not, and includes a redundant rule
% 0.10/0.72 % of transitivity of implication, and a reduced rule of
% 0.10/0.72 % detachment.
% 0.10/0.72 % Bugfixes : v2.3.0 - Function and/2 removed from prove_this
% 0.10/0.72 %--------------------------------------------------------------------------
% 0.10/0.72 %----Include axioms of propositional logic
% 0.10/0.72 include('Axioms/LCL003-0.ax').
% 0.10/0.72 %--------------------------------------------------------------------------
% 0.10/0.72 cnf(prove_this,negated_conjecture,
% 0.10/0.72 ~ theorem(or(not(or(not(p),not(q))),not(not(or(not(p),not(q)))))) ).
% 0.10/0.72
% 0.10/0.72 %--------------------------------------------------------------------------
% 0.10/0.72 %-------------------------------------------
% 0.10/0.72 % Proof found
% 0.10/0.72 % SZS status Theorem for theBenchmark
% 0.10/0.72 % SZS output start Proof
% 0.10/0.73 %ClaNum:9(EqnAxiom:0)
% 0.10/0.73 %VarNum:34(SingletonVarNum:17)
% 0.10/0.73 %MaxLitNum:3
% 0.10/0.73 %MaxfuncDepth:5
% 0.10/0.73 %SharedTerms:9
% 0.10/0.73 %goalClause: 6
% 0.10/0.73 %singleGoalClaCount:1
% 0.10/0.73 [6]~P2(f2(f1(f2(f1(a3),f1(a4))),f1(f1(f2(f1(a3),f1(a4))))))
% 0.10/0.73 [2]P1(f2(f1(f2(x21,x21)),x21))
% 0.10/0.73 [1]P1(f2(f1(x11),f2(x12,x11)))
% 0.10/0.73 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 0.10/0.73 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 0.10/0.73 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 0.10/0.73 [7]~P1(x71)+P2(x71)
% 0.10/0.73 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 0.10/0.73 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 0.10/0.73 %EqnAxiom
% 0.10/0.73
% 0.10/0.73 %-------------------------------------------
% 0.10/0.75 cnf(11,plain,
% 0.10/0.75 (~P2(f1(f1(f2(f1(a3),f1(a4)))))),
% 0.10/0.75 inference(scs_inference,[],[6,1,7,8])).
% 0.10/0.75 cnf(14,plain,
% 0.10/0.75 (~P2(f2(f1(x141),x142))+P2(f2(f1(f2(x141,x141)),x142))),
% 0.10/0.75 inference(scs_inference,[],[6,1,2,7,8,9])).
% 0.10/0.75 cnf(16,plain,
% 0.10/0.75 (~P2(f2(f1(f1(f2(f1(a3),f1(a4)))),f1(f2(f1(a3),f1(a4)))))),
% 0.10/0.75 inference(scs_inference,[],[6,3,8])).
% 0.10/0.75 cnf(17,plain,
% 0.10/0.75 (P1(f2(f1(f2(x171,x172)),f2(x172,x171)))),
% 0.10/0.75 inference(rename_variables,[],[3])).
% 0.10/0.75 cnf(19,plain,
% 0.10/0.75 (P2(f2(f1(f2(x191,x192)),f2(x192,x191)))),
% 0.10/0.75 inference(scs_inference,[],[6,3,17,8,7])).
% 0.10/0.75 cnf(21,plain,
% 0.10/0.75 (P2(f2(f1(f2(f2(x211,x212),f2(x211,x212))),f2(x212,x211)))),
% 0.10/0.75 inference(scs_inference,[],[6,3,17,8,7,14])).
% 0.10/0.75 cnf(29,plain,
% 0.10/0.75 (P1(f2(f1(x291),f2(x292,x291)))),
% 0.10/0.75 inference(rename_variables,[],[1])).
% 0.10/0.75 cnf(31,plain,
% 0.10/0.75 (P2(f2(f1(x311),f2(x311,x312)))),
% 0.10/0.75 inference(scs_inference,[],[1,29,11,21,19,7,8,9])).
% 0.10/0.75 cnf(41,plain,
% 0.10/0.75 (P2(f2(f1(f2(x411,x411)),f2(x411,x412)))),
% 0.10/0.75 inference(scs_inference,[],[2,16,31,7,9])).
% 0.10/0.75 cnf(50,plain,
% 0.10/0.75 ($false),
% 0.10/0.75 inference(scs_inference,[],[2,11,16,41,1,8,7,14,9]),
% 0.10/0.75 ['proof']).
% 0.10/0.75 % SZS output end Proof
% 0.10/0.75 % Total time :0.000000s
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