TSTP Solution File: LCL208-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL208-3 : 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 : n009.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 06:48:27 EDT 2023
% Result : Unsatisfiable 201.59s 201.59s
% Output : CNFRefutation 201.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 17:43:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 201.59/201.57 %-------------------------------------------
% 201.59/201.57 % File :CSE---1.6
% 201.59/201.57 % Problem :theBenchmark
% 201.59/201.57 % Transform :cnf
% 201.59/201.57 % Format :tptp:raw
% 201.59/201.57 % Command :java -jar mcs_scs.jar %d %s
% 201.59/201.57
% 201.59/201.57 % Result :Theorem 200.960000s
% 201.59/201.57 % Output :CNFRefutation 200.960000s
% 201.59/201.57 %-------------------------------------------
% 201.59/201.58 %--------------------------------------------------------------------------
% 201.59/201.58 % File : LCL208-3 : TPTP v8.1.2. Released v2.3.0.
% 201.59/201.58 % Domain : Logic Calculi (Propositional)
% 201.59/201.58 % Problem : Principia Mathematica 2.53
% 201.59/201.58 % Version : [WR27] axioms.
% 201.59/201.58 % English :
% 201.59/201.58
% 201.59/201.58 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 201.59/201.58 % Source : [WR27]
% 201.59/201.58 % Names : Problem 2.53 [WR27]
% 201.59/201.58
% 201.59/201.58 % Status : Unsatisfiable
% 201.59/201.58 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.20 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, 0.44 v5.5.0, 0.56 v5.4.0, 0.53 v5.3.0, 0.50 v5.2.0, 0.38 v5.1.0, 0.29 v4.1.0, 0.33 v4.0.1, 0.17 v4.0.0, 0.33 v3.7.0, 0.50 v3.5.0, 0.17 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.29 v3.1.0, 0.44 v2.7.0, 0.17 v2.6.0, 0.57 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 201.59/201.58 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 201.59/201.58 % Number of literals : 12 ( 1 equ; 4 neg)
% 201.59/201.58 % Maximal clause size : 3 ( 1 avg)
% 201.59/201.58 % Maximal term depth : 4 ( 2 avg)
% 201.59/201.58 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 201.59/201.59 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 201.59/201.59 % Number of variables : 16 ( 1 sgn)
% 201.59/201.59 % SPC : CNF_UNS_RFO_SEQ_HRN
% 201.59/201.59
% 201.59/201.59 % Comments :
% 201.59/201.59 %--------------------------------------------------------------------------
% 201.59/201.59 %----Include axioms of propositional logic
% 201.59/201.59 include('Axioms/LCL004-0.ax').
% 201.59/201.59 %--------------------------------------------------------------------------
% 201.59/201.59 cnf(prove_this,negated_conjecture,
% 201.59/201.59 ~ theorem(implies(or(p,q),implies(not(p),q))) ).
% 201.59/201.59
% 201.59/201.59 %--------------------------------------------------------------------------
% 201.59/201.59 %-------------------------------------------
% 201.59/201.59 % Proof found
% 201.59/201.59 % SZS status Theorem for theBenchmark
% 201.59/201.59 % SZS output start Proof
% 201.59/201.60 %ClaNum:8(EqnAxiom:0)
% 201.59/201.60 %VarNum:28(SingletonVarNum:14)
% 201.59/201.60 %MaxLitNum:3
% 201.59/201.60 %MaxfuncDepth:4
% 201.59/201.60 %SharedTerms:9
% 201.59/201.60 %goalClause: 6
% 201.59/201.60 %singleGoalClaCount:1
% 201.59/201.60 [6]~P2(f2(f1(f2(a3,a4)),f2(f1(f1(a3)),a4)))
% 201.59/201.60 [2]P1(f2(f1(f2(x21,x21)),x21))
% 201.59/201.60 [1]P1(f2(f1(x11),f2(x12,x11)))
% 201.59/201.60 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 201.59/201.60 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 201.59/201.60 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 201.59/201.60 [7]~P1(x71)+P2(x71)
% 201.59/201.60 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 201.59/201.60 %EqnAxiom
% 201.59/201.60
% 201.59/201.60 %-------------------------------------------
% 201.63/201.61 cnf(10,plain,
% 201.63/201.61 (P2(f2(f1(x101),f2(x102,x101)))),
% 201.63/201.61 inference(scs_inference,[],[1,7])).
% 201.63/201.61 cnf(11,plain,
% 201.63/201.61 (~P2(f2(f1(f1(a3)),a4))),
% 201.63/201.61 inference(scs_inference,[],[10,6,8])).
% 201.63/201.61 cnf(16,plain,
% 201.63/201.61 (P2(f2(f1(f2(x161,x161)),x161))),
% 201.63/201.61 inference(scs_inference,[],[2,7])).
% 201.63/201.61 cnf(20,plain,
% 201.63/201.61 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 201.63/201.61 inference(scs_inference,[],[3,7])).
% 201.63/201.61 cnf(24,plain,
% 201.63/201.61 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 201.63/201.61 inference(scs_inference,[],[4,7])).
% 201.63/201.61 cnf(28,plain,
% 201.63/201.61 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 201.63/201.61 inference(scs_inference,[],[5,7])).
% 201.63/201.61 cnf(41,plain,
% 201.63/201.61 (P2(f2(f1(f2(x411,f2(x412,x412))),f2(x411,x412)))),
% 201.63/201.61 inference(scs_inference,[],[16,28,8])).
% 201.63/201.61 cnf(52,plain,
% 201.63/201.61 (P2(f2(x521,f2(f1(f2(f1(x522),x523)),f2(f1(f2(x524,x522)),f2(x524,x523)))))),
% 201.63/201.61 inference(scs_inference,[],[1,28,7,8])).
% 201.63/201.61 cnf(54,plain,
% 201.63/201.61 (~P2(f2(f1(f1(a3)),f2(a4,a4)))),
% 201.63/201.61 inference(scs_inference,[],[41,11,8])).
% 201.63/201.61 cnf(170,plain,
% 201.63/201.61 (P2(f2(f1(f2(x1701,x1702)),f2(f1(f2(f1(x1702),x1703)),f2(x1701,x1703))))),
% 201.63/201.61 inference(scs_inference,[],[28,24,8])).
% 201.63/201.61 cnf(184,plain,
% 201.63/201.61 (P2(f2(x1841,f2(f1(f2(x1842,f2(x1843,x1843))),f2(x1842,x1843))))),
% 201.63/201.61 inference(scs_inference,[],[10,41,8])).
% 201.63/201.61 cnf(209,plain,
% 201.63/201.61 (P2(f2(x2091,f2(f1(f2(x2092,x2093)),f2(x2093,x2092))))),
% 201.63/201.61 inference(scs_inference,[],[20,10,8])).
% 201.63/201.61 cnf(227,plain,
% 201.63/201.61 (P2(f2(f1(f2(x2271,x2272)),f2(x2271,f2(x2273,x2272))))),
% 201.63/201.61 inference(scs_inference,[],[10,28,8])).
% 201.63/201.61 cnf(259,plain,
% 201.63/201.61 (P2(f2(f1(f2(f2(x2591,x2592),x2592)),f2(x2591,x2592)))),
% 201.63/201.61 inference(scs_inference,[],[41,227,8])).
% 201.63/201.61 cnf(264,plain,
% 201.63/201.61 (~P2(f2(f2(f1(f1(a3)),f2(a4,a4)),f2(a4,a4)))),
% 201.63/201.61 inference(scs_inference,[],[54,259,8])).
% 201.63/201.61 cnf(285,plain,
% 201.63/201.62 (P2(f2(f1(f2(x2851,f2(x2852,x2852))),f2(x2853,f2(x2851,x2852))))),
% 201.63/201.62 inference(scs_inference,[],[184,24,8])).
% 201.63/201.62 cnf(397,plain,
% 201.63/201.62 (~P2(f2(f1(f2(f1(x3971),f2(x3972,x3971))),f2(f2(f1(f1(a3)),f2(a4,a4)),f2(a4,a4))))),
% 201.63/201.62 inference(scs_inference,[],[264,10,8])).
% 201.63/201.62 cnf(406,plain,
% 201.63/201.62 (P2(f2(f1(f2(f2(x4061,x4062),x4062)),f2(x4063,f2(x4061,x4062))))),
% 201.63/201.62 inference(scs_inference,[],[259,227,8])).
% 201.63/201.62 cnf(451,plain,
% 201.63/201.62 (P2(f2(x4511,f2(f1(x4512),x4512)))),
% 201.63/201.62 inference(scs_inference,[],[285,10,8])).
% 201.63/201.62 cnf(456,plain,
% 201.63/201.62 (P2(f2(f1(x4561),x4561))),
% 201.63/201.62 inference(scs_inference,[],[285,451,8])).
% 201.63/201.62 cnf(489,plain,
% 201.63/201.62 (~P2(f2(f2(f1(f1(a3)),f2(a4,a4)),a4))),
% 201.63/201.62 inference(scs_inference,[],[397,170,8])).
% 201.63/201.62 cnf(502,plain,
% 201.63/201.62 (P2(f2(x5021,f2(x5022,f2(f1(x5023),x5023))))),
% 201.63/201.62 inference(scs_inference,[],[406,451,8])).
% 201.63/201.62 cnf(753,plain,
% 201.63/201.62 (P2(f2(f1(f2(x7531,x7532)),f2(x7533,f2(x7532,x7531))))),
% 201.63/201.62 inference(scs_inference,[],[209,24,8])).
% 201.63/201.62 cnf(882,plain,
% 201.63/201.62 (P2(f2(x8821,f2(x8822,f1(x8822))))),
% 201.63/201.62 inference(scs_inference,[],[456,489,753,7,8])).
% 201.63/201.62 cnf(889,plain,
% 201.63/201.62 (P2(f2(x8891,f1(x8891)))),
% 201.63/201.62 inference(scs_inference,[],[502,882,8])).
% 201.63/201.62 cnf(4157,plain,
% 201.63/201.62 (P2(f2(f1(f2(f1(x41571),x41572)),f2(x41573,f2(f1(f2(x41574,x41571)),f2(x41574,x41572)))))),
% 201.63/201.62 inference(scs_inference,[],[52,24,8])).
% 201.63/201.62 cnf(4725,plain,
% 201.63/201.62 (P2(f2(f1(f2(f1(f2(x47251,x47252)),x47253)),f2(f1(f2(x47252,x47251)),x47253)))),
% 201.63/201.62 inference(scs_inference,[],[170,20,8])).
% 201.63/201.62 cnf(4729,plain,
% 201.63/201.62 (~P2(f2(f1(f2(a4,a3)),f2(f1(f1(a3)),a4)))),
% 201.63/201.62 inference(scs_inference,[],[6,4725,8])).
% 201.63/201.62 cnf(4749,plain,
% 201.63/201.62 (P2(f2(f1(f2(f1(x47491),x47492)),f2(f1(f2(x47491,x47491)),x47492)))),
% 201.63/201.62 inference(scs_inference,[],[170,16,8])).
% 201.63/201.62 cnf(4872,plain,
% 201.63/201.62 (P2(f2(x48721,f2(f1(f2(x48722,f2(x48723,x48724))),f2(x48722,f2(x48724,x48723)))))),
% 201.63/201.62 inference(scs_inference,[],[20,4157,8])).
% 201.63/201.62 cnf(4993,plain,
% 201.63/201.62 (P2(f2(f2(f1(f2(x49931,f2(x49932,x49933))),f2(x49931,f2(x49933,x49932))),x49934))),
% 201.63/201.62 inference(scs_inference,[],[20,4872,8])).
% 201.63/201.62 cnf(5938,plain,
% 201.63/201.62 (P2(f2(f1(f2(f2(f1(x59381),x59382),f2(f1(x59381),x59382))),f2(f1(f2(x59383,x59381)),f2(x59383,x59382))))),
% 201.63/201.62 inference(scs_inference,[],[28,4749,8])).
% 201.63/201.62 cnf(6068,plain,
% 201.63/201.62 (P2(f2(f1(f2(x60681,f2(x60682,f2(x60683,x60684)))),f2(x60681,f2(x60682,f2(x60684,x60683)))))),
% 201.63/201.62 inference(scs_inference,[],[4993,5938,8])).
% 201.63/201.62 cnf(6083,plain,
% 201.63/201.62 (P2(f2(f1(f2(f1(x60831),x60832)),f2(f1(f2(x60833,x60831)),f2(x60832,x60833))))),
% 201.63/201.62 inference(scs_inference,[],[28,6068,8])).
% 201.63/201.62 cnf(7380,plain,
% 201.63/201.62 ($false),
% 201.63/201.62 inference(scs_inference,[],[4729,6083,889,8]),
% 201.63/201.62 ['proof']).
% 201.63/201.62 % SZS output end Proof
% 201.63/201.62 % Total time :200.960000s
%------------------------------------------------------------------------------