TSTP Solution File: LCL197-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL197-3 : 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 : n024.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 06:48:23 EDT 2023
% Result : Unsatisfiable 61.05s 61.09s
% Output : CNFRefutation 61.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL197-3 : 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
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 18:35:09 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 60.98/61.08 %-------------------------------------------
% 60.98/61.08 % File :CSE---1.6
% 60.98/61.08 % Problem :theBenchmark
% 60.98/61.08 % Transform :cnf
% 60.98/61.08 % Format :tptp:raw
% 60.98/61.08 % Command :java -jar mcs_scs.jar %d %s
% 60.98/61.08
% 60.98/61.08 % Result :Theorem 60.460000s
% 60.98/61.08 % Output :CNFRefutation 60.460000s
% 60.98/61.08 %-------------------------------------------
% 61.05/61.09 %--------------------------------------------------------------------------
% 61.05/61.09 % File : LCL197-3 : TPTP v8.1.2. Released v2.3.0.
% 61.05/61.09 % Domain : Logic Calculi (Propositional)
% 61.05/61.09 % Problem : Principia Mathematica 2.41
% 61.05/61.09 % Version : [WR27] axioms.
% 61.05/61.09 % English :
% 61.05/61.09
% 61.05/61.09 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 61.05/61.09 % Source : [WR27]
% 61.05/61.09 % Names : Problem 2.41 [WR27]
% 61.05/61.09
% 61.05/61.09 % Status : Unsatisfiable
% 61.05/61.09 % 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, 0.19 v5.4.0, 0.20 v5.3.0, 0.17 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 v4.1.0, 0.22 v4.0.1, 0.00 v4.0.0, 0.17 v3.5.0, 0.00 v3.4.0, 0.17 v3.3.0, 0.29 v3.2.0, 0.00 v3.1.0, 0.11 v2.7.0, 0.00 v2.3.0
% 61.05/61.09 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 61.05/61.09 % Number of literals : 12 ( 1 equ; 4 neg)
% 61.05/61.09 % Maximal clause size : 3 ( 1 avg)
% 61.05/61.09 % Maximal term depth : 4 ( 2 avg)
% 61.05/61.09 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 61.05/61.09 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 61.05/61.09 % Number of variables : 16 ( 1 sgn)
% 61.05/61.09 % SPC : CNF_UNS_RFO_SEQ_HRN
% 61.05/61.09
% 61.05/61.09 % Comments :
% 61.05/61.09 %--------------------------------------------------------------------------
% 61.05/61.09 %----Include axioms of propositional logic
% 61.05/61.09 include('Axioms/LCL004-0.ax').
% 61.05/61.09 %--------------------------------------------------------------------------
% 61.05/61.09 cnf(prove_this,negated_conjecture,
% 61.05/61.09 ~ theorem(implies(or(q,or(p,q)),or(p,q))) ).
% 61.05/61.09
% 61.05/61.09 %--------------------------------------------------------------------------
% 61.05/61.09 %-------------------------------------------
% 61.05/61.09 % Proof found
% 61.05/61.09 % SZS status Theorem for theBenchmark
% 61.05/61.09 % SZS output start Proof
% 61.05/61.10 %ClaNum:8(EqnAxiom:0)
% 61.05/61.10 %VarNum:28(SingletonVarNum:14)
% 61.05/61.10 %MaxLitNum:3
% 61.05/61.10 %MaxfuncDepth:3
% 61.05/61.10 %SharedTerms:7
% 61.05/61.10 %goalClause: 6
% 61.05/61.10 %singleGoalClaCount:1
% 61.05/61.10 [6]~P2(f2(f1(f2(a3,f2(a4,a3))),f2(a4,a3)))
% 61.05/61.10 [2]P1(f2(f1(f2(x21,x21)),x21))
% 61.05/61.10 [1]P1(f2(f1(x11),f2(x12,x11)))
% 61.05/61.10 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 61.05/61.10 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 61.05/61.10 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 61.05/61.10 [7]~P1(x71)+P2(x71)
% 61.05/61.10 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 61.05/61.10 %EqnAxiom
% 61.05/61.10
% 61.05/61.10 %-------------------------------------------
% 61.05/61.11 cnf(10,plain,
% 61.05/61.11 (~P2(x101)+~P2(f2(f1(x101),f2(f1(f2(a3,f2(a4,a3))),f2(a4,a3))))),
% 61.05/61.11 inference(scs_inference,[],[6,7,8])).
% 61.05/61.11 cnf(11,plain,
% 61.05/61.11 (P2(f2(f1(x111),f2(x112,x111)))),
% 61.05/61.11 inference(scs_inference,[],[1,7])).
% 61.05/61.11 cnf(17,plain,
% 61.05/61.11 (P2(f2(f1(f2(x171,x171)),x171))),
% 61.05/61.11 inference(scs_inference,[],[2,7])).
% 61.05/61.11 cnf(27,plain,
% 61.05/61.11 (P2(f2(f1(f2(x271,x272)),f2(x272,x271)))),
% 61.05/61.11 inference(scs_inference,[],[3,7])).
% 61.05/61.11 cnf(36,plain,
% 61.05/61.11 (P2(f2(f1(f2(x361,f2(x362,x363))),f2(x362,f2(x361,x363))))),
% 61.05/61.11 inference(scs_inference,[],[4,7])).
% 61.05/61.11 cnf(43,plain,
% 61.05/61.11 (P2(f2(f1(f2(f1(x431),x432)),f2(f1(f2(x433,x431)),f2(x433,x432))))),
% 61.05/61.11 inference(scs_inference,[],[5,7])).
% 61.05/61.11 cnf(52,plain,
% 61.05/61.11 (P2(f2(x521,f2(f1(x522),x522)))),
% 61.05/61.11 inference(scs_inference,[],[11,36,8])).
% 61.05/61.11 cnf(70,plain,
% 61.05/61.11 (P2(f2(f1(x701),x701))),
% 61.05/61.11 inference(scs_inference,[],[17,52,8])).
% 61.05/61.11 cnf(523,plain,
% 61.05/61.11 (P2(f2(f1(f2(x5231,f2(x5232,x5233))),f2(x5231,f2(x5233,x5232))))),
% 61.05/61.11 inference(scs_inference,[],[27,43,8])).
% 61.05/61.11 cnf(541,plain,
% 61.05/61.11 (P2(f2(f1(f2(x5411,f2(x5412,x5412))),f2(x5411,x5412)))),
% 61.05/61.11 inference(scs_inference,[],[43,17,8])).
% 61.05/61.11 cnf(551,plain,
% 61.05/61.11 (P2(f2(x5511,f2(f1(f2(x5511,f2(x5512,x5513))),f2(x5513,x5512))))),
% 61.05/61.11 inference(scs_inference,[],[36,523,8])).
% 61.05/61.11 cnf(565,plain,
% 61.05/61.11 (P2(f2(f1(f2(x5651,x5652)),f2(x5651,f2(x5653,x5652))))),
% 61.05/61.11 inference(scs_inference,[],[43,11,8])).
% 61.05/61.11 cnf(851,plain,
% 61.05/61.11 (P2(f2(f1(f2(f1(f2(f1(x8511),x8511)),f2(x8512,x8513))),f2(x8513,x8512)))),
% 61.05/61.11 inference(scs_inference,[],[551,70,8])).
% 61.05/61.11 cnf(975,plain,
% 61.05/61.11 (P2(f2(f1(f2(f2(x9751,x9752),x9752)),f2(x9751,x9752)))),
% 61.05/61.11 inference(scs_inference,[],[541,565,8])).
% 61.05/61.11 cnf(2529,plain,
% 61.05/61.11 (P2(f2(f2(f1(f2(x25291,x25292)),x25292),x25291))),
% 61.05/61.11 inference(scs_inference,[],[851,36,8])).
% 61.05/61.11 cnf(3564,plain,
% 61.05/61.11 (P2(f2(f2(f1(f2(x35641,x35642)),x35642),f2(x35643,x35641)))),
% 61.05/61.11 inference(scs_inference,[],[2529,565,8])).
% 61.05/61.11 cnf(3608,plain,
% 61.05/61.11 ($false),
% 61.05/61.11 inference(scs_inference,[],[3564,975,10]),
% 61.05/61.11 ['proof']).
% 61.05/61.11 % SZS output end Proof
% 61.05/61.11 % Total time :60.460000s
%------------------------------------------------------------------------------