TSTP Solution File: LCL203-1 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL203-1 : 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 : 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 06:48:25 EDT 2023
% Result : Unsatisfiable 199.09s 199.10s
% Output : CNFRefutation 199.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : LCL203-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri Aug 25 07:06:27 EDT 2023
% 0.09/0.28 % CPUTime :
% 0.12/0.42 start to proof:theBenchmark
% 199.09/199.08 %-------------------------------------------
% 199.09/199.08 % File :CSE---1.6
% 199.09/199.08 % Problem :theBenchmark
% 199.09/199.08 % Transform :cnf
% 199.09/199.08 % Format :tptp:raw
% 199.09/199.08 % Command :java -jar mcs_scs.jar %d %s
% 199.09/199.08
% 199.09/199.08 % Result :Theorem 198.620000s
% 199.09/199.08 % Output :CNFRefutation 198.620000s
% 199.09/199.08 %-------------------------------------------
% 199.09/199.09 %--------------------------------------------------------------------------
% 199.09/199.09 % File : LCL203-1 : TPTP v8.1.2. Released v1.1.0.
% 199.09/199.09 % Domain : Logic Calculi (Propositional)
% 199.09/199.09 % Problem : Principia Mathematica 2.49
% 199.09/199.09 % Version : [WR27] axioms : Reduced & Augmented.
% 199.09/199.09 % English :
% 199.09/199.09
% 199.09/199.09 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 199.09/199.09 % : [NSS63] Newell et al. (1963), Empirical Explorations with the
% 199.09/199.09 % : [ORo89] O'Rourke (1989), LT Revisited: Explanation-Based Learn
% 199.09/199.09 % : [SE94] Segre & Elkan (1994), A High-Performance Explanation-B
% 199.09/199.09 % Source : [SE94]
% 199.09/199.09 % Names : Problem 2.49 [WR27]
% 199.09/199.09
% 199.09/199.09 % Status : Unsatisfiable
% 199.09/199.09 % 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
% 199.09/199.09 % Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 4 RR)
% 199.09/199.09 % Number of literals : 14 ( 0 equ; 6 neg)
% 199.09/199.09 % Maximal clause size : 3 ( 1 avg)
% 199.09/199.09 % Maximal term depth : 5 ( 2 avg)
% 199.09/199.09 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 199.09/199.09 % Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% 199.09/199.09 % Number of variables : 17 ( 1 sgn)
% 199.09/199.09 % SPC : CNF_UNS_RFO_NEQ_HRN
% 199.09/199.09
% 199.09/199.09 % Comments : Reduced to use only or and not, and includes a redundant rule
% 199.09/199.09 % of transitivity of implication, and a reduced rule of
% 199.09/199.09 % detachment.
% 199.09/199.09 %--------------------------------------------------------------------------
% 199.09/199.09 %----Include axioms of propositional logic
% 199.09/199.09 include('Axioms/LCL003-0.ax').
% 199.09/199.10 %--------------------------------------------------------------------------
% 199.09/199.10 cnf(prove_this,negated_conjecture,
% 199.09/199.10 ~ theorem(or(not(not(or(p,q))),or(not(p),not(q)))) ).
% 199.09/199.10
% 199.09/199.10 %--------------------------------------------------------------------------
% 199.09/199.10 %-------------------------------------------
% 199.09/199.10 % Proof found
% 199.09/199.10 % SZS status Theorem for theBenchmark
% 199.09/199.10 % SZS output start Proof
% 199.09/199.10 %ClaNum:9(EqnAxiom:0)
% 199.09/199.10 %VarNum:34(SingletonVarNum:17)
% 199.09/199.10 %MaxLitNum:3
% 199.09/199.10 %MaxfuncDepth:3
% 199.09/199.10 %SharedTerms:10
% 199.09/199.10 %goalClause: 6
% 199.09/199.10 %singleGoalClaCount:1
% 199.09/199.10 [6]~P2(f2(f1(f1(f2(a3,a4))),f2(f1(a3),f1(a4))))
% 199.09/199.10 [2]P1(f2(f1(f2(x21,x21)),x21))
% 199.09/199.10 [1]P1(f2(f1(x11),f2(x12,x11)))
% 199.09/199.10 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 199.09/199.10 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 199.09/199.10 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 199.09/199.10 [7]~P1(x71)+P2(x71)
% 199.09/199.10 [8]P2(x81)+~P2(x82)+~P1(f2(f1(x82),x81))
% 199.09/199.10 [9]~P2(f2(f1(x93),x92))+P2(f2(f1(x91),x92))+~P1(f2(f1(x91),x93))
% 199.09/199.10 %EqnAxiom
% 199.09/199.10
% 199.09/199.10 %-------------------------------------------
% 199.09/199.12 cnf(11,plain,
% 199.09/199.12 (~P2(f2(f1(a3),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[6,1,7,8])).
% 199.09/199.12 cnf(12,plain,
% 199.09/199.12 (P1(f2(f1(x121),f2(x122,x121)))),
% 199.09/199.12 inference(rename_variables,[],[1])).
% 199.09/199.12 cnf(14,plain,
% 199.09/199.12 (~P2(f2(f1(f2(x141,a3)),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[6,1,12,7,8,9])).
% 199.09/199.12 cnf(17,plain,
% 199.09/199.12 (~P2(f2(f1(f2(a3,x171)),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[3,14,9])).
% 199.09/199.12 cnf(20,plain,
% 199.09/199.12 (P2(f2(f1(f2(x201,x201)),x201))),
% 199.09/199.12 inference(scs_inference,[],[2,3,14,9,7])).
% 199.09/199.12 cnf(22,plain,
% 199.09/199.12 (P2(f2(f1(x221),x221))),
% 199.09/199.12 inference(scs_inference,[],[1,20,9])).
% 199.09/199.12 cnf(31,plain,
% 199.09/199.12 (P1(f2(f1(x311),f2(x312,x311)))),
% 199.09/199.12 inference(rename_variables,[],[1])).
% 199.09/199.12 cnf(37,plain,
% 199.09/199.12 (P2(f2(f1(x371),f2(x372,x371)))),
% 199.09/199.12 inference(scs_inference,[],[1,31,4,11,17,8,9,7])).
% 199.09/199.12 cnf(52,plain,
% 199.09/199.12 (P2(f2(f1(f2(f1(x521),x522)),f2(f1(f2(x523,x521)),f2(x523,x522))))),
% 199.09/199.12 inference(scs_inference,[],[5,14,37,6,8,9,7])).
% 199.09/199.12 cnf(64,plain,
% 199.09/199.12 (P1(f2(f1(f2(x641,x642)),f2(x642,x641)))),
% 199.09/199.12 inference(rename_variables,[],[3])).
% 199.09/199.12 cnf(66,plain,
% 199.09/199.12 (P2(f2(f1(f2(x661,f1(x662))),f2(f1(f2(x663,x662)),f2(x663,x661))))),
% 199.09/199.12 inference(scs_inference,[],[3,64,52,8,9])).
% 199.09/199.12 cnf(67,plain,
% 199.09/199.12 (P1(f2(f1(f2(x671,x672)),f2(x672,x671)))),
% 199.09/199.12 inference(rename_variables,[],[3])).
% 199.09/199.12 cnf(69,plain,
% 199.09/199.12 (P2(f2(f1(f2(x691,x692)),f2(x692,x691)))),
% 199.09/199.12 inference(scs_inference,[],[3,64,67,52,8,9,7])).
% 199.09/199.12 cnf(75,plain,
% 199.09/199.12 (P2(f2(f1(f2(x751,f2(f2(x751,x752),x752))),f2(x751,x752)))),
% 199.09/199.12 inference(scs_inference,[],[4,20,17,69,8,7,9])).
% 199.09/199.12 cnf(83,plain,
% 199.09/199.12 (~P2(f2(f2(f1(a3),f1(a4)),f2(f1(a3),f1(a4))))),
% 199.09/199.12 inference(scs_inference,[],[5,14,11,2,9,8])).
% 199.09/199.12 cnf(107,plain,
% 199.09/199.12 (P2(f2(f1(f2(x1071,f2(x1072,x1072))),f2(x1071,x1072)))),
% 199.09/199.12 inference(scs_inference,[],[20,5,8])).
% 199.09/199.12 cnf(115,plain,
% 199.09/199.12 (P2(f2(f1(f2(f2(f2(x1151,x1152),x1152),x1151)),f2(x1151,x1152)))),
% 199.09/199.12 inference(scs_inference,[],[14,22,75,3,8,9])).
% 199.09/199.12 cnf(124,plain,
% 199.09/199.12 (~P2(f2(f1(f2(x1241,f2(x1242,a3))),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[14,3,1,8,9])).
% 199.09/199.12 cnf(146,plain,
% 199.09/199.12 (P2(f2(x1461,f1(f2(x1461,x1461))))),
% 199.09/199.12 inference(scs_inference,[],[20,3,8])).
% 199.09/199.12 cnf(224,plain,
% 199.09/199.12 (P2(f2(f1(f1(x2241)),f2(f1(f2(x2242,x2241)),f2(x2242,x2243))))),
% 199.09/199.12 inference(scs_inference,[],[66,1,9])).
% 199.09/199.12 cnf(240,plain,
% 199.09/199.12 (~P2(f2(f1(a3),f2(f2(f1(a3),f1(a4)),f1(a4))))),
% 199.09/199.12 inference(scs_inference,[],[83,4,8])).
% 199.09/199.12 cnf(330,plain,
% 199.09/199.12 (P1(f2(f1(f2(x3301,x3302)),f2(x3302,x3301)))),
% 199.09/199.12 inference(rename_variables,[],[3])).
% 199.09/199.12 cnf(332,plain,
% 199.09/199.12 (P2(f2(f1(f2(f2(x3321,x3321),x3322)),f2(x3322,x3321)))),
% 199.09/199.12 inference(scs_inference,[],[107,124,3,330,8,9])).
% 199.09/199.12 cnf(584,plain,
% 199.09/199.12 (P2(f2(f1(f2(x5841,x5842)),f2(f1(f1(x5842)),f2(x5841,x5843))))),
% 199.09/199.12 inference(scs_inference,[],[224,240,332,4,9,8])).
% 199.09/199.12 cnf(1331,plain,
% 199.09/199.12 (P2(f2(f1(f2(f2(x13311,x13312),f2(x13311,x13312))),f2(f1(f1(x13312)),f2(x13311,x13313))))),
% 199.09/199.12 inference(scs_inference,[],[584,2,9])).
% 199.09/199.12 cnf(2710,plain,
% 199.09/199.12 (P2(f2(f1(f2(f1(x27101),f1(x27101))),f2(f1(f2(f2(x27102,x27101),f2(x27102,x27101))),f2(x27102,x27103))))),
% 199.09/199.12 inference(scs_inference,[],[4,1331,2,8,9])).
% 199.09/199.12 cnf(5786,plain,
% 199.09/199.12 (~P2(f2(f1(a3),f2(f1(f1(f2(a3,a4))),f1(a4))))),
% 199.09/199.12 inference(scs_inference,[],[6,4,8])).
% 199.09/199.12 cnf(5809,plain,
% 199.09/199.12 (P2(f2(f1(x58091),f1(f2(f1(f2(x58092,x58091)),f1(f2(x58092,x58091))))))),
% 199.09/199.12 inference(scs_inference,[],[1,146,9])).
% 199.09/199.12 cnf(8401,plain,
% 199.09/199.12 (~P2(f2(f1(f1(f2(a3,a4))),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[5786,1,8])).
% 199.09/199.12 cnf(8410,plain,
% 199.09/199.12 (~P2(f2(f1(f2(x84101,f1(f2(a3,a4)))),f1(a4)))),
% 199.09/199.12 inference(scs_inference,[],[115,8401,1,4,8,9])).
% 199.09/199.12 cnf(8755,plain,
% 199.09/199.12 (P2(f2(f1(f2(f2(f1(x87551),f1(x87551)),f2(f1(x87551),f1(x87551)))),f2(f1(f2(f2(x87552,x87551),f2(x87552,x87551))),f2(x87552,x87553))))),
% 199.09/199.12 inference(scs_inference,[],[2,2710,9])).
% 199.09/199.12 cnf(8775,plain,
% 199.09/199.12 (P2(f2(f1(f2(f1(x87751),f2(f2(f1(x87751),f1(x87751)),f1(x87751)))),f2(f1(f2(f2(x87752,x87751),f2(x87752,x87751))),f2(x87752,x87753))))),
% 199.09/199.12 inference(scs_inference,[],[8755,4,9])).
% 199.09/199.12 cnf(8830,plain,
% 199.09/199.12 (P1(f2(f1(f2(x88301,x88302)),f2(x88302,x88301)))),
% 199.09/199.12 inference(rename_variables,[],[3])).
% 199.09/199.12 cnf(8832,plain,
% 199.09/199.12 ($false),
% 199.09/199.12 inference(scs_inference,[],[8775,5809,8410,3,8830,9,8]),
% 199.09/199.12 ['proof']).
% 199.09/199.12 % SZS output end Proof
% 199.09/199.12 % Total time :198.620000s
%------------------------------------------------------------------------------