TSTP Solution File: LCL211-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL211-3 : 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 : n014.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 06:48:28 EDT 2023
% Result : Unsatisfiable 191.64s 191.66s
% Output : CNFRefutation 191.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL211-3 : 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
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 24 17:32:18 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 191.57/191.64 %-------------------------------------------
% 191.57/191.64 % File :CSE---1.6
% 191.57/191.64 % Problem :theBenchmark
% 191.57/191.64 % Transform :cnf
% 191.57/191.64 % Format :tptp:raw
% 191.57/191.64 % Command :java -jar mcs_scs.jar %d %s
% 191.57/191.64
% 191.57/191.64 % Result :Theorem 190.940000s
% 191.57/191.64 % Output :CNFRefutation 190.940000s
% 191.57/191.64 %-------------------------------------------
% 191.64/191.66 %--------------------------------------------------------------------------
% 191.64/191.66 % File : LCL211-3 : TPTP v8.1.2. Released v2.3.0.
% 191.64/191.66 % Domain : Logic Calculi (Propositional)
% 191.64/191.66 % Problem : Principia Mathematica 2.56
% 191.64/191.66 % Version : [WR27] axioms.
% 191.64/191.66 % English :
% 191.64/191.66
% 191.64/191.66 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 191.64/191.66 % Source : [WR27]
% 191.64/191.66 % Names : Problem 2.56 [WR27]
% 191.64/191.66
% 191.64/191.66 % Status : Unsatisfiable
% 191.64/191.66 % 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, 0.47 v5.3.0, 0.42 v5.2.0, 0.38 v5.1.0, 0.29 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, 0.22 v2.7.0, 0.00 v2.6.0, 0.43 v2.5.0, 0.20 v2.4.0, 0.00 v2.3.0
% 191.64/191.66 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 191.64/191.66 % Number of literals : 12 ( 1 equ; 4 neg)
% 191.64/191.66 % Maximal clause size : 3 ( 1 avg)
% 191.64/191.66 % Maximal term depth : 4 ( 2 avg)
% 191.64/191.66 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 191.64/191.66 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 191.64/191.66 % Number of variables : 16 ( 1 sgn)
% 191.64/191.66 % SPC : CNF_UNS_RFO_SEQ_HRN
% 191.64/191.66
% 191.64/191.66 % Comments :
% 191.64/191.66 %--------------------------------------------------------------------------
% 191.64/191.66 %----Include axioms of propositional logic
% 191.64/191.66 include('Axioms/LCL004-0.ax').
% 191.64/191.66 %--------------------------------------------------------------------------
% 191.64/191.66 cnf(prove_this,negated_conjecture,
% 191.64/191.66 ~ theorem(implies(not(q),implies(or(p,q),p))) ).
% 191.64/191.66
% 191.64/191.66 %--------------------------------------------------------------------------
% 191.64/191.66 %-------------------------------------------
% 191.64/191.66 % Proof found
% 191.64/191.66 % SZS status Theorem for theBenchmark
% 191.64/191.66 % SZS output start Proof
% 191.64/191.67 %ClaNum:8(EqnAxiom:0)
% 191.64/191.67 %VarNum:28(SingletonVarNum:14)
% 191.64/191.67 %MaxLitNum:3
% 191.64/191.67 %MaxfuncDepth:4
% 191.64/191.67 %SharedTerms:9
% 191.64/191.67 %goalClause: 6
% 191.64/191.67 %singleGoalClaCount:1
% 191.64/191.67 [6]~P2(f2(f1(f1(a3)),f2(f1(f2(a4,a3)),a4)))
% 191.64/191.67 [2]P1(f2(f1(f2(x21,x21)),x21))
% 191.64/191.67 [1]P1(f2(f1(x11),f2(x12,x11)))
% 191.64/191.67 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 191.64/191.67 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 191.64/191.67 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 191.64/191.67 [7]~P1(x71)+P2(x71)
% 191.64/191.67 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 191.64/191.67 %EqnAxiom
% 191.64/191.67
% 191.64/191.67 %-------------------------------------------
% 191.66/191.69 cnf(10,plain,
% 191.66/191.69 (P2(f2(f1(x101),f2(x102,x101)))),
% 191.66/191.69 inference(scs_inference,[],[1,7])).
% 191.66/191.69 cnf(16,plain,
% 191.66/191.69 (P2(f2(f1(f2(x161,x161)),x161))),
% 191.66/191.69 inference(scs_inference,[],[2,7])).
% 191.66/191.69 cnf(20,plain,
% 191.66/191.69 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 191.66/191.69 inference(scs_inference,[],[3,7])).
% 191.66/191.69 cnf(24,plain,
% 191.66/191.69 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 191.66/191.69 inference(scs_inference,[],[4,7])).
% 191.66/191.69 cnf(28,plain,
% 191.66/191.69 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 191.66/191.69 inference(scs_inference,[],[5,7])).
% 191.66/191.69 cnf(34,plain,
% 191.66/191.69 (~P2(f2(f1(f2(a4,a3)),f2(f1(f1(a3)),a4)))),
% 191.66/191.69 inference(scs_inference,[],[24,6,8])).
% 191.66/191.69 cnf(3324,plain,
% 191.66/191.69 (P2(f2(x33241,f2(f1(x33242),x33242)))),
% 191.66/191.69 inference(scs_inference,[],[10,24,8])).
% 191.66/191.69 cnf(3343,plain,
% 191.66/191.69 (P2(f2(f1(x33431),x33431))),
% 191.66/191.69 inference(scs_inference,[],[16,3324,8])).
% 191.66/191.69 cnf(3353,plain,
% 191.66/191.69 (P2(f2(x33531,f1(x33531)))),
% 191.66/191.69 inference(scs_inference,[],[20,3343,8])).
% 191.66/191.69 cnf(4507,plain,
% 191.66/191.69 (P2(f2(f1(f2(x45071,f2(x45072,x45073))),f2(x45071,f2(x45073,x45072))))),
% 191.66/191.69 inference(scs_inference,[],[20,28,8])).
% 191.66/191.69 cnf(6904,plain,
% 191.66/191.69 (~P2(f2(f1(f2(a4,a3)),f2(a4,f1(f1(a3)))))),
% 191.66/191.69 inference(scs_inference,[],[34,4507,8])).
% 191.66/191.69 cnf(7743,plain,
% 191.66/191.69 ($false),
% 191.66/191.69 inference(scs_inference,[],[6,6904,3353,28,7,8]),
% 191.66/191.69 ['proof']).
% 191.66/191.70 % SZS output end Proof
% 191.66/191.70 % Total time :190.940000s
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