TSTP Solution File: LCL222-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL222-1 : 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 : n022.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 06:48:32 EDT 2023
% Result : Unsatisfiable 4.73s 4.94s
% Output : CNFRefutation 4.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL222-1 : 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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 06:01:10 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 4.73/4.93 %-------------------------------------------
% 4.73/4.93 % File :CSE---1.6
% 4.73/4.93 % Problem :theBenchmark
% 4.73/4.93 % Transform :cnf
% 4.73/4.93 % Format :tptp:raw
% 4.73/4.93 % Command :java -jar mcs_scs.jar %d %s
% 4.73/4.93
% 4.73/4.93 % Result :Theorem 4.290000s
% 4.73/4.93 % Output :CNFRefutation 4.290000s
% 4.73/4.93 %-------------------------------------------
% 4.73/4.93 %--------------------------------------------------------------------------
% 4.73/4.93 % File : LCL222-1 : TPTP v8.1.2. Released v1.1.0.
% 4.73/4.93 % Domain : Logic Calculi (Propositional)
% 4.73/4.93 % Problem : Principia Mathematica 2.74
% 4.73/4.94 % Version : [WR27] axioms : Reduced & Augmented.
% 4.73/4.94 % English :
% 4.73/4.94
% 4.73/4.94 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 4.73/4.94 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 4.73/4.94 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 4.73/4.94 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 4.73/4.94 % Source : [SE94]
% 4.73/4.94 % Names : Problem 2.74 [WR27]
% 4.73/4.94
% 4.73/4.94 % Status : Unsatisfiable
% 4.73/4.94 % Rating : 0.29 v8.1.0, 0.25 v7.4.0, 0.17 v7.3.0, 0.25 v6.2.0, 0.33 v6.1.0, 0.64 v6.0.0, 0.78 v5.5.0, 0.75 v5.4.0, 0.78 v5.3.0, 0.80 v5.2.0, 0.62 v5.1.0, 0.56 v5.0.0, 0.53 v4.1.0, 0.60 v4.0.1, 0.14 v3.7.0, 0.29 v3.4.0, 0.40 v3.3.0, 0.00 v3.1.0, 0.33 v2.7.0, 0.62 v2.6.0, 0.57 v2.5.0, 0.71 v2.4.0, 0.71 v2.3.0, 0.86 v2.2.1, 1.00 v2.0.0
% 4.73/4.94 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 4.73/4.94 % Number of literals : 14 ( 0 equ; 6 neg)
% 4.73/4.94 % Maximal clause size : 3 ( 1 avg)
% 4.73/4.94 % Maximal term depth : 6 ( 2 avg)
% 4.73/4.94 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 4.73/4.94 % Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% 4.73/4.94 % Number of variables : 17 ( 1 sgn)
% 4.73/4.94 % SPC : CNF_UNS_RFO_NEQ_HRN
% 4.73/4.94
% 4.73/4.94 % Comments : Reduced to use only or and not, and includes a redundant rule
% 4.73/4.94 % of transitivity of implication, and a reduced rule of
% 4.73/4.94 % detachment.
% 4.73/4.94 %--------------------------------------------------------------------------
% 4.73/4.94 %----Include axioms of propositional logic
% 4.73/4.94 include('Axioms/LCL003-0.ax').
% 4.73/4.94 %--------------------------------------------------------------------------
% 4.73/4.94 cnf(prove_this,negated_conjecture,
% 4.73/4.94 ~ theorem(or(not(or(not(q),p)),or(not(or(or(p,q),r)),or(p,r)))) ).
% 4.73/4.94
% 4.73/4.94 %--------------------------------------------------------------------------
% 4.73/4.94 %-------------------------------------------
% 4.73/4.94 % Proof found
% 4.73/4.94 % SZS status Theorem for theBenchmark
% 4.73/4.94 % SZS output start Proof
% 4.73/4.94 %ClaNum:9(EqnAxiom:0)
% 4.73/4.94 %VarNum:34(SingletonVarNum:17)
% 4.73/4.94 %MaxLitNum:3
% 4.73/4.94 %MaxfuncDepth:3
% 4.73/4.94 %SharedTerms:13
% 4.73/4.94 %goalClause: 6
% 4.73/4.94 %singleGoalClaCount:1
% 4.73/4.94 [6]~P2(f2(f1(f2(f1(a3),a4)),f2(f1(f2(f2(a4,a3),a5)),f2(a4,a5))))
% 4.73/4.94 [2]P1(f2(f1(f2(x21,x21)),x21))
% 4.73/4.94 [1]P1(f2(f1(x11),f2(x12,x11)))
% 4.73/4.94 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 4.73/4.94 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 4.73/4.94 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 4.73/4.94 [7]~P1(x71)+P2(x71)
% 4.73/4.94 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 4.73/4.94 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 4.73/4.94 %EqnAxiom
% 4.73/4.94
% 4.73/4.94 %-------------------------------------------
% 4.73/4.94 cnf(11,plain,
% 4.73/4.94 (~P2(f2(f1(f2(f2(a4,a3),a5)),f2(a4,a5)))),
% 4.73/4.94 inference(scs_inference,[],[6,1,7,8])).
% 4.73/4.94 cnf(14,plain,
% 4.73/4.94 (~P2(f2(f1(x141),x142))+P2(f2(f1(f2(x141,x141)),x142))),
% 4.73/4.94 inference(scs_inference,[],[6,1,2,7,8,9])).
% 4.73/4.94 cnf(16,plain,
% 4.73/4.94 (P2(f2(f1(f2(x161,x162)),f2(x162,x161)))),
% 4.73/4.94 inference(scs_inference,[],[3,7])).
% 4.73/4.94 cnf(20,plain,
% 4.73/4.94 (P2(f2(f1(f2(f2(x201,x202),f2(x201,x202))),f2(x202,x201)))),
% 4.73/4.94 inference(scs_inference,[],[3,11,7,8,14])).
% 4.73/4.94 cnf(23,plain,
% 4.73/4.94 (P2(f2(f1(x231),x232))+~P2(f2(f1(x233),x232))+~P1(f2(f1(x231),x233))),
% 4.73/4.94 inference(rename_variables,[],[9])).
% 4.73/4.94 cnf(24,plain,
% 4.73/4.94 (~P2(f2(f1(f2(f1(f2(x241,a3)),f2(x241,a4))),f2(f1(f2(f2(a4,a3),a5)),f2(a4,a5))))),
% 4.73/4.94 inference(scs_inference,[],[6,3,5,11,7,8,14,9,23])).
% 4.73/4.95 cnf(30,plain,
% 4.73/4.95 (P1(f2(f1(x301),f2(x302,x301)))),
% 4.73/4.95 inference(rename_variables,[],[1])).
% 4.73/4.95 cnf(32,plain,
% 4.73/4.95 (P2(f2(f1(x321),f2(x321,x322)))),
% 4.73/4.95 inference(scs_inference,[],[1,30,11,20,16,7,8,9])).
% 4.73/4.95 cnf(37,plain,
% 4.73/4.95 (~P2(f2(a4,a5))),
% 4.73/4.95 inference(scs_inference,[],[1,11,7,8])).
% 4.73/4.95 cnf(50,plain,
% 4.73/4.95 (P2(f2(f1(f2(x501,x501)),x501))),
% 4.73/4.95 inference(scs_inference,[],[2,7])).
% 4.73/4.95 cnf(56,plain,
% 4.73/4.95 (P2(f2(f1(f2(x561,x561)),f2(x561,x562)))),
% 4.73/4.95 inference(scs_inference,[],[2,4,16,32,7,8,9])).
% 4.73/4.95 cnf(64,plain,
% 4.73/4.95 (P1(f2(f1(f2(x641,x642)),f2(x642,x641)))),
% 4.73/4.95 inference(rename_variables,[],[3])).
% 4.73/4.95 cnf(66,plain,
% 4.73/4.95 (~P2(f2(f1(f2(a5,f2(a4,a3))),f2(a4,a5)))),
% 4.73/4.95 inference(scs_inference,[],[3,64,11,7,8,9])).
% 4.73/4.95 cnf(77,plain,
% 4.73/4.95 (P2(f2(f1(f2(f2(x771,x772),f2(x771,x772))),f2(x772,x771)))),
% 4.73/4.95 inference(rename_variables,[],[20])).
% 4.73/4.95 cnf(78,plain,
% 4.73/4.95 (P1(f2(f1(f2(x781,f2(x782,x783))),f2(x782,f2(x781,x783))))),
% 4.73/4.95 inference(rename_variables,[],[4])).
% 4.73/4.95 cnf(82,plain,
% 4.73/4.95 (P2(f2(f1(f2(x821,f2(f2(x821,x822),x822))),f2(x822,x821)))),
% 4.73/4.95 inference(scs_inference,[],[4,78,24,20,77,8,7,9])).
% 4.73/4.95 cnf(86,plain,
% 4.73/4.95 (~P2(f2(f1(f2(f2(a4,a3),a5)),f2(f1(f2(f1(f2(x861,a3)),f2(x861,a4))),f2(a4,a5))))),
% 4.73/4.95 inference(scs_inference,[],[4,24,8])).
% 4.73/4.95 cnf(139,plain,
% 4.73/4.95 (~P2(f2(f2(a4,a5),f2(a4,a5)))),
% 4.73/4.95 inference(scs_inference,[],[24,37,2,7,8])).
% 4.73/4.95 cnf(182,plain,
% 4.73/4.95 (P2(f2(f1(f2(f2(x1821,x1822),x1822)),f2(x1822,x1821)))),
% 4.73/4.95 inference(scs_inference,[],[82,1,9])).
% 4.73/4.95 cnf(191,plain,
% 4.73/4.95 (~P2(a5)),
% 4.73/4.95 inference(scs_inference,[],[37,1,8])).
% 4.73/4.95 cnf(199,plain,
% 4.73/4.95 (~P2(f2(f1(f2(a4,f2(a5,a3))),f2(a4,a5)))),
% 4.73/4.95 inference(scs_inference,[],[50,66,139,4,8,9])).
% 4.73/4.95 cnf(221,plain,
% 4.73/4.95 (P1(f2(f1(f2(x2211,x2212)),f2(x2212,x2211)))),
% 4.73/4.95 inference(rename_variables,[],[3])).
% 4.73/4.95 cnf(223,plain,
% 4.73/4.95 (~P2(f2(f1(f2(a5,f2(a4,a3))),f2(f1(f2(f1(f2(x2231,a3)),f2(x2231,a4))),f2(a4,a5))))),
% 4.73/4.95 inference(scs_inference,[],[66,86,3,221,8,9])).
% 4.73/4.95 cnf(232,plain,
% 4.73/4.95 (P2(f2(f1(f2(x2321,f2(f2(x2321,x2322),x2322))),f2(f2(x2321,x2322),x2323)))),
% 4.73/4.95 inference(scs_inference,[],[56,1,4,8,9])).
% 4.73/4.95 cnf(244,plain,
% 4.73/4.95 (~P2(f2(f1(f2(x2441,f2(a5,f2(a4,a3)))),f2(a4,a5)))),
% 4.73/4.95 inference(scs_inference,[],[66,1,9])).
% 4.73/4.95 cnf(542,plain,
% 4.73/4.95 (P2(f2(f1(f2(x5421,f2(x5422,x5421))),f2(x5421,x5422)))),
% 4.73/4.95 inference(scs_inference,[],[182,191,3,8,9])).
% 4.73/4.95 cnf(557,plain,
% 4.73/4.95 (~P2(f2(f2(f1(f2(a4,f2(a5,a3))),f2(a4,a5)),f2(f1(f2(a4,f2(a5,a3))),f2(a4,a5))))),
% 4.73/4.95 inference(scs_inference,[],[199,2,8])).
% 4.73/4.95 cnf(608,plain,
% 4.73/4.95 (~P2(f2(f1(f2(f1(f2(x6081,a3)),f2(x6081,a4))),f2(f1(f2(a5,f2(a4,a3))),f2(a4,a5))))),
% 4.73/4.95 inference(scs_inference,[],[223,4,8])).
% 4.73/4.95 cnf(658,plain,
% 4.73/4.95 (P2(f2(f1(f2(f2(f2(x6581,x6582),x6582),x6581)),f2(f2(x6581,x6582),x6583)))),
% 4.73/4.95 inference(scs_inference,[],[232,3,9])).
% 4.73/4.95 cnf(666,plain,
% 4.73/4.95 (~P2(f2(f2(a4,a5),f1(f2(x6661,f2(a5,f2(a4,a3))))))),
% 4.73/4.95 inference(scs_inference,[],[244,3,8])).
% 4.73/4.95 cnf(1337,plain,
% 4.73/4.95 (P2(f2(f1(f2(x13371,f2(x13372,x13372))),f2(x13372,x13371)))),
% 4.73/4.95 inference(scs_inference,[],[542,557,1,4,7,8,9])).
% 4.73/4.95 cnf(1472,plain,
% 4.73/4.95 (P2(f2(f1(x14721),f2(f2(x14721,x14722),x14723)))),
% 4.73/4.95 inference(scs_inference,[],[658,1,9])).
% 4.73/4.95 cnf(1476,plain,
% 4.73/4.95 (P2(f2(f1(f2(x14761,x14761)),f2(f2(x14761,x14762),x14763)))),
% 4.73/4.95 inference(scs_inference,[],[1472,14])).
% 4.73/4.95 cnf(1496,plain,
% 4.73/4.95 (P2(f2(f1(f2(f2(x14961,x14961),f2(x14961,x14961))),f2(f2(x14961,x14962),x14963)))),
% 4.73/4.95 inference(scs_inference,[],[666,1476,2,1,8,7,9])).
% 4.73/4.95 cnf(1503,plain,
% 4.73/4.95 (P2(f2(f1(f2(x15031,f2(x15032,f2(x15033,x15033)))),f2(x15031,f2(x15033,x15032))))),
% 4.73/4.95 inference(scs_inference,[],[1496,1337,5,14,8])).
% 4.73/4.95 cnf(1511,plain,
% 4.73/4.95 ($false),
% 4.73/4.95 inference(scs_inference,[],[1503,608,5,9]),
% 4.73/4.95 ['proof']).
% 4.73/4.95 % SZS output end Proof
% 4.73/4.95 % Total time :4.290000s
%------------------------------------------------------------------------------