TSTP Solution File: LCL320-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL320-3 : 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 : n022.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 06:48:54 EDT 2023
% Result : Unsatisfiable 225.12s 225.15s
% Output : CNFRefutation 225.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL320-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Thu Aug 24 17:02:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 225.12/225.13 %-------------------------------------------
% 225.12/225.13 % File :CSE---1.6
% 225.12/225.13 % Problem :theBenchmark
% 225.12/225.13 % Transform :cnf
% 225.12/225.13 % Format :tptp:raw
% 225.12/225.13 % Command :java -jar mcs_scs.jar %d %s
% 225.12/225.13
% 225.12/225.13 % Result :Theorem 224.450000s
% 225.12/225.13 % Output :CNFRefutation 224.450000s
% 225.12/225.13 %-------------------------------------------
% 225.12/225.15 %--------------------------------------------------------------------------
% 225.12/225.15 % File : LCL320-3 : TPTP v8.1.2. Released v2.3.0.
% 225.12/225.15 % Domain : Logic Calculi (Propositional)
% 225.12/225.15 % Problem : Principia Mathematica 5.11
% 225.12/225.15 % Version : [WR27] axioms.
% 225.12/225.15 % English :
% 225.12/225.15
% 225.12/225.15 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 225.12/225.15 % Source : [WR27]
% 225.12/225.15 % Names : Problem 5.11 [WR27]
% 225.12/225.15
% 225.12/225.15 % Status : Unsatisfiable
% 225.12/225.15 % 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, 0.31 v5.4.0, 0.27 v5.3.0, 0.17 v5.2.0, 0.38 v5.1.0, 0.29 v5.0.0, 0.14 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, 0.22 v2.7.0, 0.17 v2.6.0, 0.14 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 225.12/225.15 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 225.12/225.15 % Number of literals : 12 ( 1 equ; 4 neg)
% 225.12/225.15 % Maximal clause size : 3 ( 1 avg)
% 225.12/225.15 % Maximal term depth : 4 ( 2 avg)
% 225.12/225.15 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 225.12/225.15 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 225.12/225.15 % Number of variables : 16 ( 1 sgn)
% 225.12/225.15 % SPC : CNF_UNS_RFO_SEQ_HRN
% 225.12/225.15
% 225.12/225.15 % Comments :
% 225.12/225.15 %--------------------------------------------------------------------------
% 225.12/225.15 %----Include axioms of propositional logic
% 225.12/225.15 include('Axioms/LCL004-0.ax').
% 225.12/225.15 %--------------------------------------------------------------------------
% 225.12/225.15 cnf(prove_this,negated_conjecture,
% 225.12/225.15 ~ theorem(or(implies(p,q),implies(not(p),q))) ).
% 225.12/225.15
% 225.12/225.15 %--------------------------------------------------------------------------
% 225.12/225.15 %-------------------------------------------
% 225.12/225.15 % Proof found
% 225.12/225.15 % SZS status Theorem for theBenchmark
% 225.12/225.15 % SZS output start Proof
% 225.12/225.16 %ClaNum:8(EqnAxiom:0)
% 225.12/225.16 %VarNum:28(SingletonVarNum:14)
% 225.12/225.16 %MaxLitNum:3
% 225.12/225.16 %MaxfuncDepth:4
% 225.12/225.16 %SharedTerms:8
% 225.12/225.16 %goalClause: 6
% 225.12/225.16 %singleGoalClaCount:1
% 225.12/225.16 [6]~P2(f2(f2(f1(a3),a4),f2(f1(f1(a3)),a4)))
% 225.12/225.16 [2]P1(f2(f1(f2(x21,x21)),x21))
% 225.12/225.16 [1]P1(f2(f1(x11),f2(x12,x11)))
% 225.12/225.16 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 225.12/225.16 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 225.12/225.16 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 225.12/225.16 [7]~P1(x71)+P2(x71)
% 225.12/225.16 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 225.12/225.16 %EqnAxiom
% 225.12/225.16
% 225.12/225.16 %-------------------------------------------
% 225.18/225.18 cnf(10,plain,
% 225.18/225.18 (P2(f2(f1(x101),f2(x102,x101)))),
% 225.18/225.18 inference(scs_inference,[],[1,7])).
% 225.18/225.18 cnf(20,plain,
% 225.18/225.18 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 225.18/225.18 inference(scs_inference,[],[3,7])).
% 225.18/225.18 cnf(24,plain,
% 225.18/225.18 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 225.18/225.18 inference(scs_inference,[],[4,7])).
% 225.18/225.18 cnf(28,plain,
% 225.18/225.18 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 225.18/225.18 inference(scs_inference,[],[5,7])).
% 225.18/225.18 cnf(170,plain,
% 225.18/225.18 (P2(f2(f1(f2(x1701,x1702)),f2(f1(f2(f1(x1702),x1703)),f2(x1701,x1703))))),
% 225.18/225.18 inference(scs_inference,[],[28,24,8])).
% 225.18/225.18 cnf(3830,plain,
% 225.18/225.18 (P2(f2(f1(f2(x38301,f2(x38302,x38303))),f2(x38301,f2(x38303,x38302))))),
% 225.18/225.18 inference(scs_inference,[],[20,28,8])).
% 225.18/225.18 cnf(3866,plain,
% 225.18/225.18 (~P2(f2(f2(f1(a3),a4),f2(a4,f1(f1(a3)))))),
% 225.18/225.18 inference(scs_inference,[],[6,3830,8])).
% 225.18/225.18 cnf(4974,plain,
% 225.18/225.18 (P2(f2(f1(f2(f1(f2(x49741,x49742)),x49743)),f2(f1(x49742),x49743)))),
% 225.18/225.18 inference(scs_inference,[],[170,10,8])).
% 225.18/225.18 cnf(4996,plain,
% 225.18/225.18 (P2(f2(f1(x49961),f2(x49961,x49962)))),
% 225.18/225.18 inference(scs_inference,[],[20,4974,8])).
% 225.18/225.18 cnf(5032,plain,
% 225.18/225.18 (P2(f2(f2(x50321,x50322),f1(x50321)))),
% 225.18/225.18 inference(scs_inference,[],[20,4996,8])).
% 225.18/225.18 cnf(5707,plain,
% 225.18/225.18 (P2(f2(x57071,f2(f2(x57072,x57073),f1(x57072))))),
% 225.18/225.18 inference(scs_inference,[],[10,5032,8])).
% 225.18/225.18 cnf(7422,plain,
% 225.18/225.18 ($false),
% 225.18/225.18 inference(scs_inference,[],[3866,5707,24,8]),
% 225.18/225.18 ['proof']).
% 225.18/225.18 % SZS output end Proof
% 225.18/225.18 % Total time :224.450000s
%------------------------------------------------------------------------------