TSTP Solution File: LCL219-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL219-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n011.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 06:48:31 EDT 2023
% Result : Unsatisfiable 156.95s 156.99s
% Output : CNFRefutation 157.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL219-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 02:55:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 156.95/156.98 %-------------------------------------------
% 156.95/156.98 % File :CSE---1.6
% 156.95/156.98 % Problem :theBenchmark
% 156.95/156.98 % Transform :cnf
% 156.95/156.98 % Format :tptp:raw
% 156.95/156.98 % Command :java -jar mcs_scs.jar %d %s
% 156.95/156.98
% 156.95/156.98 % Result :Theorem 156.310000s
% 156.95/156.98 % Output :CNFRefutation 156.310000s
% 156.95/156.98 %-------------------------------------------
% 156.95/156.99 %--------------------------------------------------------------------------
% 156.95/156.99 % File : LCL219-3 : TPTP v8.1.2. Released v2.3.0.
% 156.95/156.99 % Domain : Logic Calculi (Propositional)
% 156.95/156.99 % Problem : Principia Mathematica 2.68
% 156.95/156.99 % Version : [WR27] axioms.
% 156.95/156.99 % English :
% 156.95/156.99
% 156.95/156.99 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 156.95/156.99 % Source : [WR27]
% 156.95/156.99 % Names : Problem 2.68 [WR27]
% 156.95/156.99
% 156.95/156.99 % Status : Unsatisfiable
% 156.95/156.99 % Rating : 0.17 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, 0.56 v5.4.0, 0.53 v5.3.0, 0.50 v5.1.0, 0.43 v4.1.0, 0.33 v4.0.1, 0.17 v4.0.0, 0.33 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.00 v3.1.0, 0.33 v2.6.0, 0.29 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 156.95/156.99 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 156.95/156.99 % Number of literals : 12 ( 1 equ; 4 neg)
% 156.95/156.99 % Maximal clause size : 3 ( 1 avg)
% 156.95/156.99 % Maximal term depth : 4 ( 2 avg)
% 156.95/156.99 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 156.95/156.99 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 156.95/156.99 % Number of variables : 16 ( 1 sgn)
% 156.95/156.99 % SPC : CNF_UNS_RFO_SEQ_HRN
% 156.95/156.99
% 156.95/156.99 % Comments :
% 156.95/156.99 %--------------------------------------------------------------------------
% 156.95/156.99 %----Include axioms of propositional logic
% 156.95/156.99 include('Axioms/LCL004-0.ax').
% 156.95/156.99 %--------------------------------------------------------------------------
% 156.95/156.99 cnf(prove_this,negated_conjecture,
% 156.95/156.99 ~ theorem(implies(implies(implies(p,q),q),or(p,q))) ).
% 156.95/156.99
% 156.95/156.99 %--------------------------------------------------------------------------
% 156.95/156.99 %-------------------------------------------
% 156.95/156.99 % Proof found
% 156.95/156.99 % SZS status Theorem for theBenchmark
% 156.95/156.99 % SZS output start Proof
% 156.95/157.00 %ClaNum:8(EqnAxiom:0)
% 156.95/157.00 %VarNum:28(SingletonVarNum:14)
% 156.95/157.00 %MaxLitNum:3
% 156.95/157.00 %MaxfuncDepth:3
% 156.95/157.00 %SharedTerms:10
% 156.95/157.00 %goalClause: 6
% 156.95/157.00 %singleGoalClaCount:1
% 156.95/157.00 [6]~P2(f2(f1(f2(f1(f2(f1(a3),a4)),a4)),f2(a3,a4)))
% 156.95/157.00 [2]P1(f2(f1(f2(x21,x21)),x21))
% 156.95/157.00 [1]P1(f2(f1(x11),f2(x12,x11)))
% 156.95/157.00 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 156.95/157.00 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 156.95/157.00 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 156.95/157.00 [7]~P1(x71)+P2(x71)
% 156.95/157.00 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 156.95/157.00 %EqnAxiom
% 156.95/157.00
% 156.95/157.00 %-------------------------------------------
% 157.01/157.02 cnf(10,plain,
% 157.01/157.02 (P2(f2(f1(x101),f2(x102,x101)))),
% 157.01/157.02 inference(scs_inference,[],[1,7])).
% 157.01/157.02 cnf(11,plain,
% 157.01/157.02 (~P2(f2(a3,a4))),
% 157.01/157.02 inference(scs_inference,[],[10,6,8])).
% 157.01/157.02 cnf(18,plain,
% 157.01/157.02 (P2(f2(f1(f2(x181,x181)),x181))),
% 157.01/157.02 inference(scs_inference,[],[2,10,11,8,7])).
% 157.01/157.02 cnf(20,plain,
% 157.01/157.02 (P2(f2(x201,f2(f1(f2(x202,x202)),x202)))),
% 157.01/157.02 inference(scs_inference,[],[10,18,8])).
% 157.01/157.02 cnf(28,plain,
% 157.01/157.02 (P2(f2(f1(f2(x281,x282)),f2(x282,x281)))),
% 157.01/157.02 inference(scs_inference,[],[3,11,10,8,7])).
% 157.01/157.02 cnf(34,plain,
% 157.01/157.02 (P2(f2(f1(f2(x341,f2(x342,x343))),f2(x342,f2(x341,x343))))),
% 157.01/157.02 inference(scs_inference,[],[4,7])).
% 157.01/157.02 cnf(44,plain,
% 157.01/157.02 (P2(f2(f1(f2(f1(x441),x442)),f2(f1(f2(x443,x441)),f2(x443,x442))))),
% 157.01/157.02 inference(scs_inference,[],[5,7])).
% 157.01/157.02 cnf(53,plain,
% 157.01/157.02 (P2(f2(x531,f2(f1(x532),f2(x533,x532))))),
% 157.01/157.02 inference(scs_inference,[],[1,10,7,8])).
% 157.01/157.02 cnf(57,plain,
% 157.01/157.02 (~P2(f2(f2(a3,a4),f2(a3,a4)))),
% 157.01/157.02 inference(scs_inference,[],[2,11,7,8])).
% 157.01/157.02 cnf(161,plain,
% 157.01/157.02 (~P2(f2(f1(f2(x1611,f2(f1(x1612),f2(x1613,x1612)))),f2(f2(a3,a4),f2(a3,a4))))),
% 157.01/157.02 inference(scs_inference,[],[57,53,8])).
% 157.01/157.02 cnf(272,plain,
% 157.01/157.02 (~P2(f2(f2(f2(a3,a4),f2(a3,a4)),f1(f2(x2721,f2(f1(x2722),f2(x2723,x2722))))))),
% 157.01/157.02 inference(scs_inference,[],[161,28,8])).
% 157.01/157.02 cnf(555,plain,
% 157.01/157.02 (P2(f2(f1(f2(x5551,x5551)),f2(x5552,x5551)))),
% 157.01/157.02 inference(scs_inference,[],[20,34,8])).
% 157.01/157.02 cnf(568,plain,
% 157.01/157.02 (P2(f2(x5681,f1(f2(x5681,x5681))))),
% 157.01/157.02 inference(scs_inference,[],[18,28,8])).
% 157.01/157.02 cnf(581,plain,
% 157.01/157.02 (P2(f2(f1(f2(x5811,f2(x5812,x5813))),f2(x5811,f2(x5813,x5812))))),
% 157.01/157.02 inference(scs_inference,[],[28,44,8])).
% 157.01/157.02 cnf(614,plain,
% 157.01/157.02 (P2(f2(f1(f2(x6141,x6142)),f2(x6141,f1(f2(f1(x6142),f1(x6142))))))),
% 157.01/157.02 inference(scs_inference,[],[44,568,8])).
% 157.01/157.02 cnf(2047,plain,
% 157.01/157.02 (P2(f2(f1(f2(x20471,x20471)),f1(f2(f1(f2(x20472,x20471)),f1(f2(x20472,x20471))))))),
% 157.01/157.02 inference(scs_inference,[],[555,614,8])).
% 157.01/157.02 cnf(2178,plain,
% 157.01/157.02 (P2(f2(f1(f2(f1(f2(x21781,x21782)),f1(f2(x21781,x21782)))),f1(f2(x21782,x21782))))),
% 157.01/157.02 inference(scs_inference,[],[2047,28,8])).
% 157.01/157.02 cnf(2210,plain,
% 157.01/157.02 (P2(f1(f2(x22101,x22101)))+~P2(f2(f1(f2(x22102,x22101)),f1(f2(x22102,x22101))))),
% 157.01/157.02 inference(scs_inference,[],[2178,8])).
% 157.01/157.02 cnf(3880,plain,
% 157.01/157.02 (~P2(f1(f2(x38801,f2(f1(x38802),f2(x38803,x38802)))))),
% 157.01/157.02 inference(scs_inference,[],[10,272,8])).
% 157.01/157.02 cnf(3889,plain,
% 157.01/157.02 (P2(f2(f1(x38891),f2(x38891,x38892)))),
% 157.01/157.02 inference(scs_inference,[],[10,581,3880,2210,8])).
% 157.01/157.02 cnf(3921,plain,
% 157.01/157.02 (~P2(f2(f1(f2(f1(x39211),f2(x39211,x39212))),f2(f1(f2(f1(f2(f1(a3),a4)),a4)),f2(a3,a4))))),
% 157.01/157.02 inference(scs_inference,[],[6,3889,8])).
% 157.01/157.02 cnf(5759,plain,
% 157.01/157.02 (P2(f2(f1(f2(x57591,f2(x57592,f2(x57593,x57594)))),f2(x57591,f2(x57593,f2(x57592,x57594)))))),
% 157.01/157.02 inference(scs_inference,[],[44,34,8])).
% 157.01/157.02 cnf(5988,plain,
% 157.01/157.02 (P2(f2(f1(f2(f1(x59881),x59882)),f2(x59883,f2(f1(f2(x59883,x59881)),x59882))))),
% 157.01/157.02 inference(scs_inference,[],[44,5759,8])).
% 157.01/157.02 cnf(5999,plain,
% 157.01/157.02 (P2(f2(x59991,f2(f1(f2(x59991,f2(x59992,f2(x59993,x59994)))),f2(x59993,f2(x59992,x59994)))))),
% 157.01/157.02 inference(scs_inference,[],[34,5988,8])).
% 157.01/157.02 cnf(6012,plain,
% 157.01/157.02 (P2(f2(f1(f2(f1(f2(f1(f2(f1(x60121),x60122)),f2(f1(f2(x60123,x60121)),f2(x60123,x60122)))),f2(x60124,f2(x60125,x60126)))),f2(x60125,f2(x60124,x60126))))),
% 157.01/157.02 inference(scs_inference,[],[44,5999,8])).
% 157.01/157.02 cnf(6036,plain,
% 157.01/157.02 (P2(f2(x60361,f2(f1(f2(x60361,f2(f1(x60362),x60363))),f2(f1(f2(x60364,x60362)),f2(x60364,x60363)))))),
% 157.01/157.02 inference(scs_inference,[],[44,6012,8])).
% 157.01/157.02 cnf(6413,plain,
% 157.01/157.02 (P2(f2(f1(f2(f1(f2(f1(f2(f1(x64131),x64132)),f2(f1(f2(x64133,x64131)),f2(x64133,x64132)))),f2(f1(x64134),x64135))),f2(f1(f2(x64136,x64134)),f2(x64136,x64135))))),
% 157.01/157.02 inference(scs_inference,[],[44,6036,8])).
% 157.01/157.02 cnf(6461,plain,
% 157.01/157.02 (P2(f2(f1(f2(x64611,f2(x64612,x64613))),f2(x64611,f2(f1(f2(f1(x64613),x64614)),f2(x64612,x64614)))))),
% 157.01/157.02 inference(scs_inference,[],[34,6413,8])).
% 157.01/157.02 cnf(6486,plain,
% 157.01/157.02 ($false),
% 157.01/157.02 inference(scs_inference,[],[34,3921,6461,8]),
% 157.01/157.02 ['proof']).
% 157.01/157.03 % SZS output end Proof
% 157.01/157.03 % Total time :156.310000s
%------------------------------------------------------------------------------