TSTP Solution File: LCL206-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL206-3 : TPTP v8.1.2. Bugfixed v2.4.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n023.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 06:48:26 EDT 2023
% Result : Unsatisfiable 15.45s 15.55s
% Output : CNFRefutation 15.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL206-3 : TPTP v8.1.2. Bugfixed v2.4.1.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.33 % DateTime : Thu Aug 24 19:35:12 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 15.45/15.54 %-------------------------------------------
% 15.45/15.54 % File :CSE---1.6
% 15.45/15.54 % Problem :theBenchmark
% 15.45/15.54 % Transform :cnf
% 15.45/15.54 % Format :tptp:raw
% 15.45/15.54 % Command :java -jar mcs_scs.jar %d %s
% 15.45/15.54
% 15.45/15.54 % Result :Theorem 14.950000s
% 15.45/15.54 % Output :CNFRefutation 14.950000s
% 15.45/15.54 %-------------------------------------------
% 15.45/15.55 %--------------------------------------------------------------------------
% 15.45/15.55 % File : LCL206-3 : TPTP v8.1.2. Bugfixed v2.4.1.
% 15.45/15.55 % Domain : Logic Calculi (Propositional)
% 15.45/15.55 % Problem : Principia Mathematica 2.52
% 15.45/15.55 % Version : [WR27] axioms.
% 15.45/15.55 % English :
% 15.45/15.55
% 15.45/15.55 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 15.45/15.55 % Source : [WR27]
% 15.45/15.55 % Names : Problem 2.52 [WR27]
% 15.45/15.55
% 15.45/15.55 % Status : Unsatisfiable
% 15.45/15.55 % Rating : 0.08 v8.1.0, 0.11 v7.5.0, 0.10 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, 0.33 v5.5.0, 0.44 v5.4.0, 0.40 v5.3.0, 0.33 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 v3.5.0, 0.17 v3.4.0, 0.33 v3.3.0, 0.43 v3.2.0, 0.14 v3.1.0, 0.33 v2.7.0, 0.17 v2.6.0, 0.50 v2.5.0
% 15.45/15.55 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 15.45/15.55 % Number of literals : 12 ( 1 equ; 4 neg)
% 15.45/15.55 % Maximal clause size : 3 ( 1 avg)
% 15.45/15.55 % Maximal term depth : 4 ( 2 avg)
% 15.45/15.55 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 15.45/15.55 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 15.45/15.55 % Number of variables : 16 ( 1 sgn)
% 15.45/15.55 % SPC : CNF_UNS_RFO_SEQ_HRN
% 15.45/15.55
% 15.45/15.55 % Comments :
% 15.45/15.55 % Bugfixes : v2.4.1 - Fixed clause prove_this.
% 15.45/15.55 %--------------------------------------------------------------------------
% 15.45/15.55 %----Include axioms of propositional logic
% 15.45/15.55 include('Axioms/LCL004-0.ax').
% 15.45/15.55 %--------------------------------------------------------------------------
% 15.45/15.55 cnf(prove_this,negated_conjecture,
% 15.45/15.55 ~ theorem(implies(not(implies(p,q)),implies(not(p),not(q)))) ).
% 15.45/15.55
% 15.45/15.55 %--------------------------------------------------------------------------
% 15.45/15.55 %-------------------------------------------
% 15.45/15.55 % Proof found
% 15.45/15.55 % SZS status Theorem for theBenchmark
% 15.45/15.55 % SZS output start Proof
% 15.45/15.55 %ClaNum:8(EqnAxiom:0)
% 15.45/15.55 %VarNum:28(SingletonVarNum:14)
% 15.45/15.55 %MaxLitNum:3
% 15.45/15.55 %MaxfuncDepth:3
% 15.45/15.55 %SharedTerms:11
% 15.45/15.55 %goalClause: 6
% 15.45/15.55 %singleGoalClaCount:1
% 15.45/15.55 [6]~P2(f2(f1(f1(f2(f1(a3),a4))),f2(f1(f1(a3)),f1(a4))))
% 15.45/15.55 [2]P1(f2(f1(f2(x21,x21)),x21))
% 15.45/15.55 [1]P1(f2(f1(x11),f2(x12,x11)))
% 15.45/15.55 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 15.45/15.55 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 15.45/15.55 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 15.45/15.55 [7]~P1(x71)+P2(x71)
% 15.45/15.55 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 15.45/15.55 %EqnAxiom
% 15.45/15.55
% 15.45/15.55 %-------------------------------------------
% 15.45/15.56 cnf(10,plain,
% 15.45/15.56 (P2(f2(f1(x101),f2(x102,x101)))),
% 15.45/15.56 inference(scs_inference,[],[1,7])).
% 15.45/15.56 cnf(11,plain,
% 15.45/15.56 (~P2(f2(f1(f1(a3)),f1(a4)))),
% 15.45/15.56 inference(scs_inference,[],[10,6,8])).
% 15.45/15.56 cnf(18,plain,
% 15.45/15.56 (P2(f2(f1(f2(x181,x181)),x181))),
% 15.45/15.56 inference(scs_inference,[],[2,10,11,8,7])).
% 15.45/15.56 cnf(20,plain,
% 15.45/15.56 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 15.45/15.56 inference(scs_inference,[],[10,18,8])).
% 15.45/15.56 cnf(28,plain,
% 15.45/15.56 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 15.45/15.56 inference(scs_inference,[],[3,11,10,8,7])).
% 15.45/15.56 cnf(37,plain,
% 15.45/15.56 (P2(f2(f1(f2(x371,f2(x372,x373))),f2(x372,f2(x371,x373))))),
% 15.45/15.56 inference(scs_inference,[],[4,10,20,8,7])).
% 15.45/15.56 cnf(46,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(x461),x462)),f2(f1(f2(x463,x461)),f2(x463,x462))))),
% 15.45/15.56 inference(scs_inference,[],[5,18,11,8,7])).
% 15.45/15.56 cnf(50,plain,
% 15.45/15.56 (P2(f2(x501,f2(f1(f2(x502,f2(x503,x504))),f2(x503,f2(x502,x504)))))),
% 15.45/15.56 inference(scs_inference,[],[10,37,8])).
% 15.45/15.56 cnf(53,plain,
% 15.45/15.56 (P2(f2(x531,f2(f1(x532),f2(x533,x532))))),
% 15.45/15.56 inference(scs_inference,[],[1,10,7,8])).
% 15.45/15.56 cnf(62,plain,
% 15.45/15.56 (~P2(f2(f1(f2(f1(f2(x621,x622)),f2(x622,x621))),f2(f1(f1(a3)),f1(a4))))),
% 15.45/15.56 inference(scs_inference,[],[3,11,7,8])).
% 15.45/15.56 cnf(69,plain,
% 15.45/15.56 (P2(f2(f2(f1(f2(x691,x691)),x691),x692))),
% 15.45/15.56 inference(scs_inference,[],[20,28,8])).
% 15.45/15.56 cnf(115,plain,
% 15.45/15.56 (P2(f2(f1(f2(x1151,f2(x1152,x1153))),f2(x1154,f2(x1152,f2(x1151,x1153)))))),
% 15.45/15.56 inference(scs_inference,[],[37,50,8])).
% 15.45/15.56 cnf(126,plain,
% 15.45/15.56 (P2(f2(f1(f2(x1261,x1262)),f2(x1261,f2(f1(x1263),f2(x1264,x1263)))))),
% 15.45/15.56 inference(scs_inference,[],[53,46,8])).
% 15.45/15.56 cnf(131,plain,
% 15.45/15.56 (P2(f2(x1311,f2(f1(f2(x1312,x1313)),f2(f1(f2(f1(x1313),x1314)),f2(x1312,x1314)))))),
% 15.45/15.56 inference(scs_inference,[],[46,115,8])).
% 15.45/15.56 cnf(138,plain,
% 15.45/15.56 (P2(f2(f1(f2(x1381,x1382)),f2(f1(f2(f1(x1382),x1383)),f2(x1381,x1383))))),
% 15.45/15.56 inference(scs_inference,[],[50,62,131,7,8])).
% 15.45/15.56 cnf(146,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(f2(f1(x1461),f2(x1462,x1461))),x1463)),f2(x1464,x1463)))),
% 15.45/15.56 inference(scs_inference,[],[53,138,8])).
% 15.45/15.56 cnf(165,plain,
% 15.45/15.56 (P2(f2(x1651,f2(f1(x1652),f2(f1(x1653),f2(x1654,x1653)))))),
% 15.45/15.56 inference(scs_inference,[],[126,146,8])).
% 15.45/15.56 cnf(173,plain,
% 15.45/15.56 (P2(f2(x1731,f2(f1(x1732),f2(x1733,f2(f1(x1734),f2(x1735,x1734))))))),
% 15.45/15.56 inference(scs_inference,[],[165,115,8])).
% 15.45/15.56 cnf(178,plain,
% 15.45/15.56 (P2(f2(f1(x1781),f2(x1782,f2(f1(x1783),f2(x1784,x1783)))))),
% 15.45/15.56 inference(scs_inference,[],[69,173,8])).
% 15.45/15.56 cnf(203,plain,
% 15.45/15.56 (P2(f2(f1(f2(x2031,x2032)),f2(x2031,f2(x2033,f2(f1(x2034),f2(x2035,x2034))))))),
% 15.45/15.56 inference(scs_inference,[],[178,46,8])).
% 15.45/15.56 cnf(228,plain,
% 15.45/15.56 (P2(f2(x2281,f2(x2282,f2(f1(x2283),f2(x2284,x2283)))))),
% 15.45/15.56 inference(scs_inference,[],[131,203,8])).
% 15.45/15.56 cnf(287,plain,
% 15.45/15.56 (P2(f2(f2(x2871,f2(f1(x2872),f2(x2873,x2872))),x2874))),
% 15.45/15.56 inference(scs_inference,[],[228,28,8])).
% 15.45/15.56 cnf(340,plain,
% 15.45/15.56 (~P2(f2(f1(f1(a3)),f2(f1(f1(f2(f1(a3),a4))),f1(a4))))),
% 15.45/15.56 inference(scs_inference,[],[6,37,8])).
% 15.45/15.56 cnf(386,plain,
% 15.45/15.56 (P2(f2(x3861,f2(f2(x3862,f2(f1(x3863),f2(x3864,x3863))),x3865)))),
% 15.45/15.56 inference(scs_inference,[],[10,287,8])).
% 15.45/15.56 cnf(398,plain,
% 15.45/15.56 (P2(f2(x3981,f2(f1(f2(f1(x3982),x3983)),f2(f1(f2(x3984,x3982)),f2(x3984,x3983)))))),
% 15.45/15.56 inference(scs_inference,[],[10,46,8])).
% 15.45/15.56 cnf(555,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(x5551),x5552)),f2(f1(f2(x5551,x5551)),x5552)))),
% 15.45/15.56 inference(scs_inference,[],[138,18,8])).
% 15.45/15.56 cnf(691,plain,
% 15.45/15.56 (P2(f2(f2(f2(x6911,f2(f1(x6912),f2(x6913,x6912))),x6914),x6915))),
% 15.45/15.56 inference(scs_inference,[],[386,28,8])).
% 15.45/15.56 cnf(706,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(x7061),x7062)),f2(x7063,f2(f1(f2(x7064,x7061)),f2(x7064,x7062)))))),
% 15.45/15.56 inference(scs_inference,[],[398,37,8])).
% 15.45/15.56 cnf(833,plain,
% 15.45/15.56 (P2(f2(f1(f2(f2(x8331,x8332),f2(x8331,x8332))),f2(f1(f2(f1(x8332),x8333)),f2(x8331,x8333))))),
% 15.45/15.56 inference(scs_inference,[],[555,138,8])).
% 15.45/15.56 cnf(935,plain,
% 15.45/15.56 (P2(f2(x9351,f2(f1(f2(x9352,f2(x9353,x9353))),f2(x9352,x9353))))),
% 15.45/15.56 inference(scs_inference,[],[706,18,8])).
% 15.45/15.56 cnf(940,plain,
% 15.45/15.56 (P2(f2(f1(f2(x9401,f2(x9402,x9402))),f2(x9401,x9402)))),
% 15.45/15.56 inference(scs_inference,[],[691,935,8])).
% 15.45/15.56 cnf(1007,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(f2(x10071,x10072)),x10073)),f2(f1(x10072),x10073)))),
% 15.45/15.56 inference(scs_inference,[],[833,53,8])).
% 15.45/15.56 cnf(1109,plain,
% 15.45/15.56 (P2(f2(f1(f2(f1(f2(x11091,x11092)),f1(x11092))),f1(x11092)))),
% 15.52/15.56 inference(scs_inference,[],[940,1007,8])).
% 15.52/15.56 cnf(1216,plain,
% 15.52/15.56 (P2(f2(f1(f2(x12161,f2(f1(f2(x12162,x12163)),f1(x12163)))),f2(x12161,f1(x12163))))),
% 15.52/15.56 inference(scs_inference,[],[1109,46,8])).
% 15.52/15.56 cnf(1398,plain,
% 15.52/15.56 (P2(f2(f1(f2(f1(x13981),f1(f2(x13982,x13981)))),f1(x13981)))),
% 15.52/15.56 inference(scs_inference,[],[28,1216,8])).
% 15.52/15.56 cnf(1438,plain,
% 15.52/15.56 (P2(f2(x14381,f2(f1(x14382),f2(x14383,f2(x14384,x14382)))))),
% 15.52/15.56 inference(scs_inference,[],[53,115,8])).
% 15.52/15.56 cnf(1449,plain,
% 15.52/15.56 (P2(f2(f1(x14491),f2(x14492,f2(x14493,x14491))))),
% 15.52/15.56 inference(scs_inference,[],[69,1438,8])).
% 15.52/15.56 cnf(1509,plain,
% 15.52/15.56 (P2(f2(f1(f2(f1(f2(f1(x15091),f2(x15092,x15091))),f1(x15093))),f1(x15093)))),
% 15.52/15.56 inference(scs_inference,[],[146,1216,8])).
% 15.52/15.56 cnf(1997,plain,
% 15.52/15.56 (P2(f2(f1(f1(f2(x19971,x19972))),f1(x19972)))),
% 15.52/15.56 inference(scs_inference,[],[1007,1398,8])).
% 15.52/15.56 cnf(2257,plain,
% 15.52/15.56 (P2(f2(x22571,f2(x22572,f2(f1(f1(f2(x22573,x22574))),f1(x22574)))))),
% 15.52/15.56 inference(scs_inference,[],[1449,1997,8])).
% 15.52/15.56 cnf(2261,plain,
% 15.52/15.56 ($false),
% 15.52/15.56 inference(scs_inference,[],[1509,2257,340,8]),
% 15.52/15.56 ['proof']).
% 15.52/15.56 % SZS output end Proof
% 15.52/15.57 % Total time :14.950000s
%------------------------------------------------------------------------------