TSTP Solution File: LCL216-3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL216-3 : 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 : n002.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 06:48:30 EDT 2023
% Result : Unsatisfiable 229.06s 229.12s
% Output : CNFRefutation 229.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL216-3 : TPTP v8.1.2. Released v2.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Aug 25 02:01:17 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.57 start to proof:theBenchmark
% 229.06/229.10 %-------------------------------------------
% 229.06/229.10 % File :CSE---1.6
% 229.06/229.10 % Problem :theBenchmark
% 229.06/229.10 % Transform :cnf
% 229.06/229.10 % Format :tptp:raw
% 229.06/229.10 % Command :java -jar mcs_scs.jar %d %s
% 229.06/229.10
% 229.06/229.10 % Result :Theorem 228.450000s
% 229.06/229.10 % Output :CNFRefutation 228.450000s
% 229.06/229.10 %-------------------------------------------
% 229.06/229.12 %--------------------------------------------------------------------------
% 229.06/229.12 % File : LCL216-3 : TPTP v8.1.2. Released v2.3.0.
% 229.06/229.12 % Domain : Logic Calculi (Propositional)
% 229.06/229.12 % Problem : Principia Mathematica 2.64
% 229.06/229.12 % Version : [WR27] axioms.
% 229.06/229.12 % English :
% 229.06/229.12
% 229.06/229.12 % Refs : [WR27] Whitehead & Russell (1927), Principia Mathematica
% 229.06/229.12 % Source : [WR27]
% 229.06/229.12 % Names : Problem 2.64 [WR27]
% 229.06/229.12
% 229.06/229.12 % Status : Unsatisfiable
% 229.06/229.12 % Rating : 0.33 v8.1.0, 0.22 v7.5.0, 0.40 v7.4.0, 0.44 v7.2.0, 0.50 v7.1.0, 0.57 v6.3.0, 0.50 v6.2.0, 0.00 v6.1.0, 0.40 v6.0.0, 0.78 v5.5.0, 0.88 v5.4.0, 0.80 v5.3.0, 0.83 v5.2.0, 0.75 v5.1.0, 0.57 v4.1.0, 0.67 v4.0.1, 0.50 v4.0.0, 0.67 v3.5.0, 0.50 v3.4.0, 0.67 v3.3.0, 0.71 v3.1.0, 0.56 v2.7.0, 0.50 v2.6.0, 0.57 v2.5.0, 0.40 v2.4.0, 0.67 v2.3.0
% 229.06/229.12 % Syntax : Number of clauses : 9 ( 7 unt; 0 nHn; 3 RR)
% 229.06/229.12 % Number of literals : 12 ( 1 equ; 4 neg)
% 229.06/229.12 % Maximal clause size : 3 ( 1 avg)
% 229.06/229.12 % Maximal term depth : 5 ( 2 avg)
% 229.06/229.12 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 229.06/229.12 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 229.06/229.12 % Number of variables : 16 ( 1 sgn)
% 229.06/229.12 % SPC : CNF_UNS_RFO_SEQ_HRN
% 229.06/229.12
% 229.06/229.12 % Comments :
% 229.06/229.12 %--------------------------------------------------------------------------
% 229.06/229.12 %----Include axioms of propositional logic
% 229.06/229.12 include('Axioms/LCL004-0.ax').
% 229.06/229.12 %--------------------------------------------------------------------------
% 229.06/229.12 cnf(prove_this,negated_conjecture,
% 229.06/229.12 ~ theorem(implies(or(p,q),implies(or(p,not(q)),p))) ).
% 229.06/229.12
% 229.06/229.12 %--------------------------------------------------------------------------
% 229.06/229.12 %-------------------------------------------
% 229.06/229.12 % Proof found
% 229.06/229.12 % SZS status Theorem for theBenchmark
% 229.06/229.12 % SZS output start Proof
% 229.06/229.13 %ClaNum:8(EqnAxiom:0)
% 229.06/229.13 %VarNum:28(SingletonVarNum:14)
% 229.06/229.13 %MaxLitNum:3
% 229.06/229.13 %MaxfuncDepth:5
% 229.06/229.13 %SharedTerms:9
% 229.06/229.13 %goalClause: 6
% 229.06/229.13 %singleGoalClaCount:1
% 229.06/229.13 [6]~P2(f2(f1(f2(a3,a4)),f2(f1(f2(a3,f1(a4))),a3)))
% 229.06/229.13 [2]P1(f2(f1(f2(x21,x21)),x21))
% 229.06/229.13 [1]P1(f2(f1(x11),f2(x12,x11)))
% 229.06/229.13 [3]P1(f2(f1(f2(x31,x32)),f2(x32,x31)))
% 229.06/229.13 [4]P1(f2(f1(f2(x41,f2(x42,x43))),f2(x42,f2(x41,x43))))
% 229.06/229.13 [5]P1(f2(f1(f2(f1(x51),x52)),f2(f1(f2(x53,x51)),f2(x53,x52))))
% 229.06/229.13 [7]~P1(x71)+P2(x71)
% 229.06/229.13 [8]P2(x81)+~P2(x82)+~P2(f2(f1(x82),x81))
% 229.06/229.13 %EqnAxiom
% 229.06/229.13
% 229.06/229.13 %-------------------------------------------
% 229.06/229.15 cnf(16,plain,
% 229.06/229.15 (P2(f2(f1(f2(x161,x161)),x161))),
% 229.06/229.15 inference(scs_inference,[],[2,7])).
% 229.06/229.15 cnf(20,plain,
% 229.06/229.15 (P2(f2(f1(f2(x201,x202)),f2(x202,x201)))),
% 229.06/229.15 inference(scs_inference,[],[3,7])).
% 229.06/229.15 cnf(24,plain,
% 229.06/229.15 (P2(f2(f1(f2(x241,f2(x242,x243))),f2(x242,f2(x241,x243))))),
% 229.06/229.15 inference(scs_inference,[],[4,7])).
% 229.06/229.15 cnf(28,plain,
% 229.06/229.15 (P2(f2(f1(f2(f1(x281),x282)),f2(f1(f2(x283,x281)),f2(x283,x282))))),
% 229.06/229.15 inference(scs_inference,[],[5,7])).
% 229.06/229.15 cnf(34,plain,
% 229.06/229.15 (~P2(f2(f1(f2(a3,f1(a4))),f2(f1(f2(a3,a4)),a3)))),
% 229.06/229.15 inference(scs_inference,[],[24,6,8])).
% 229.06/229.15 cnf(41,plain,
% 229.06/229.15 (P2(f2(f1(f2(x411,f2(x412,x412))),f2(x411,x412)))),
% 229.06/229.15 inference(scs_inference,[],[16,28,8])).
% 229.06/229.15 cnf(1077,plain,
% 229.06/229.15 (P2(f2(f1(f2(x10771,x10772)),f2(f1(f2(f1(x10772),x10773)),f2(x10771,x10773))))),
% 229.06/229.15 inference(scs_inference,[],[28,24,8])).
% 229.06/229.15 cnf(1101,plain,
% 229.06/229.15 (P2(f2(f1(f2(x11011,f2(x11012,f2(x11013,x11013)))),f2(x11011,f2(x11012,x11013))))),
% 229.06/229.15 inference(scs_inference,[],[28,41,8])).
% 229.06/229.15 cnf(1105,plain,
% 229.06/229.15 (~P2(f2(f1(f2(a3,f1(a4))),f2(f1(f2(a3,a4)),f2(a3,a3))))),
% 229.06/229.15 inference(scs_inference,[],[34,1101,8])).
% 229.06/229.15 cnf(5110,plain,
% 229.06/229.15 (P2(f2(f1(f2(f1(f2(x51101,x51102)),x51103)),f2(f1(f2(x51102,x51101)),x51103)))),
% 229.06/229.15 inference(scs_inference,[],[20,1077,8])).
% 229.06/229.15 cnf(7319,plain,
% 229.06/229.15 ($false),
% 229.06/229.15 inference(scs_inference,[],[28,1105,5110,8]),
% 229.06/229.15 ['proof']).
% 229.06/229.16 % SZS output end Proof
% 229.06/229.16 % Total time :228.450000s
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