TSTP Solution File: LCL261-3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL261-3 : 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 : n017.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 06:48:45 EDT 2023
% Result : Unsatisfiable 41.45s 41.60s
% Output : CNFRefutation 41.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL261-3 : 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
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 20:38:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 41.45/41.58 %-------------------------------------------
% 41.45/41.58 % File :CSE---1.6
% 41.45/41.58 % Problem :theBenchmark
% 41.45/41.58 % Transform :cnf
% 41.45/41.58 % Format :tptp:raw
% 41.45/41.58 % Command :java -jar mcs_scs.jar %d %s
% 41.45/41.58
% 41.45/41.58 % Result :Theorem 40.960000s
% 41.45/41.58 % Output :CNFRefutation 40.960000s
% 41.45/41.58 %-------------------------------------------
% 41.45/41.60 %--------------------------------------------------------------------------
% 41.45/41.60 % File : LCL261-3 : TPTP v8.1.2. Released v2.3.0.
% 41.45/41.60 % Domain : Logic Calculi (Propositional)
% 41.45/41.60 % Problem : Principia Mathematica 3.12
% 41.45/41.60 % Version : [WR27] axioms.
% 41.45/41.60 % English :
% 41.45/41.60
% 41.45/41.60 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 41.45/41.60 % Source : [WR27]
% 41.45/41.60 % Names : Problem 3.12 [WR27]
% 41.45/41.60
% 41.45/41.60 % Status : Unsatisfiable
% 41.45/41.60 % Rating : 0.33 v8.1.0, 0.11 v7.5.0, 0.10 v7.4.0, 0.22 v7.3.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.29 v6.3.0, 0.33 v6.2.0, 0.00 v6.1.0, 0.20 v6.0.0, 0.44 v5.5.0, 0.50 v5.4.0, 0.47 v5.3.0, 0.33 v5.2.0, 0.50 v5.1.0, 0.43 v5.0.0, 0.29 v4.1.0, 0.44 v4.0.1, 0.33 v4.0.0, 0.50 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 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 41.45/41.60 % Syntax : Number of clauses : 10 ( 8 unt; 0 nHn; 3 RR)
% 41.45/41.60 % Number of literals : 13 ( 2 equ; 4 neg)
% 41.45/41.60 % Maximal clause size : 3 ( 1 avg)
% 41.45/41.60 % Maximal term depth : 4 ( 2 avg)
% 41.45/41.60 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 41.45/41.60 % Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% 41.45/41.60 % Number of variables : 18 ( 1 sgn)
% 41.45/41.60 % SPC : CNF_UNS_RFO_SEQ_HRN
% 41.45/41.60
% 41.45/41.60 % Comments :
% 41.45/41.60 %--------------------------------------------------------------------------
% 41.45/41.60 %----Include axioms of propositional logic
% 41.45/41.60 include('Axioms/LCL004-0.ax').
% 41.45/41.60 include('Axioms/LCL004-1.ax').
% 41.45/41.60 %--------------------------------------------------------------------------
% 41.45/41.60 cnf(prove_this,negated_conjecture,
% 41.45/41.60 ~ theorem(or(not(p),or(not(q),and(p,q)))) ).
% 41.45/41.60
% 41.45/41.60 %--------------------------------------------------------------------------
% 41.45/41.60 %-------------------------------------------
% 41.45/41.60 % Proof found
% 41.45/41.60 % SZS status Theorem for theBenchmark
% 41.45/41.60 % SZS output start Proof
% 41.54/41.60 %ClaNum:8(EqnAxiom:0)
% 41.54/41.60 %VarNum:28(SingletonVarNum:14)
% 41.54/41.60 %MaxLitNum:3
% 41.54/41.60 %MaxfuncDepth:5
% 41.54/41.60 %SharedTerms:9
% 41.54/41.60 %goalClause: 6
% 41.54/41.60 %singleGoalClaCount:1
% 41.54/41.60 [6]~P2(f2(f1(a3),f2(f1(a4),f1(f2(f1(a3),f1(a4))))))
% 41.54/41.60 [2]P1(f2(f1(f2(x21,x21)),x21))
% 41.54/41.60 [1]P1(f2(f1(x11),f2(x12,x11)))
% 41.54/41.60 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 41.54/41.60 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 41.54/41.60 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 41.54/41.60 [7]~P1(x71)+P2(x71)
% 41.54/41.60 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 41.54/41.60 %EqnAxiom
% 41.54/41.60
% 41.54/41.61 %-------------------------------------------
% 41.54/41.62 cnf(20,plain,
% 41.54/41.62 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 41.54/41.62 inference(scs_inference,[],[3,7])).
% 41.54/41.62 cnf(24,plain,
% 41.54/41.62 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 41.54/41.62 inference(scs_inference,[],[4,7])).
% 41.54/41.62 cnf(28,plain,
% 41.54/41.62 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 41.54/41.62 inference(scs_inference,[],[5,7])).
% 41.54/41.62 cnf(34,plain,
% 41.54/41.62 (~P2(f2(f1(a4),f2(f1(a3),f1(f2(f1(a3),f1(a4))))))),
% 41.54/41.62 inference(scs_inference,[],[24,6,8])).
% 41.54/41.62 cnf(52,plain,
% 41.54/41.62 (P2(f2(x521,f2(f1(f2(f1(x522),x523)),f2(f1(f2(x524,x522)),f2(x524,x523)))))),
% 41.54/41.62 inference(scs_inference,[],[1,28,7,8])).
% 41.54/41.62 cnf(78,plain,
% 41.54/41.62 (P2(f2(x781,f2(f1(f2(x782,x781)),x782)))),
% 41.54/41.62 inference(scs_inference,[],[20,24,8])).
% 41.54/41.62 cnf(1188,plain,
% 41.54/41.62 (P2(f2(f1(f2(f1(x11881),x11882)),f2(x11883,f2(f1(f2(x11884,x11881)),f2(x11884,x11882)))))),
% 41.54/41.62 inference(scs_inference,[],[52,24,8])).
% 41.54/41.62 cnf(1923,plain,
% 41.54/41.62 (P2(f2(x19231,f2(f1(f2(x19232,f2(x19233,x19234))),f2(x19232,f2(x19234,x19233)))))),
% 41.54/41.62 inference(scs_inference,[],[1188,20,8])).
% 41.54/41.62 cnf(1927,plain,
% 41.54/41.62 (P2(f2(f1(f2(x19271,f2(x19272,x19273))),f2(x19271,f2(x19273,x19272))))),
% 41.54/41.62 inference(scs_inference,[],[1188,1923,8])).
% 41.54/41.62 cnf(3204,plain,
% 41.54/41.62 ($false),
% 41.54/41.62 inference(scs_inference,[],[34,78,1927,8]),
% 41.54/41.62 ['proof']).
% 41.54/41.62 % SZS output end Proof
% 41.54/41.62 % Total time :40.960000s
%------------------------------------------------------------------------------