TSTP Solution File: LCL036-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n015.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 06:47:44 EDT 2023
% Result : Unsatisfiable 60.71s 60.88s
% Output : CNFRefutation 60.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n015.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 05:42:51 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 60.71/60.86 %-------------------------------------------
% 60.71/60.86 % File :CSE---1.6
% 60.71/60.86 % Problem :theBenchmark
% 60.71/60.86 % Transform :cnf
% 60.71/60.86 % Format :tptp:raw
% 60.71/60.86 % Command :java -jar mcs_scs.jar %d %s
% 60.71/60.86
% 60.71/60.86 % Result :Theorem 60.140000s
% 60.71/60.86 % Output :CNFRefutation 60.140000s
% 60.71/60.86 %-------------------------------------------
% 60.71/60.88 %--------------------------------------------------------------------------
% 60.71/60.88 % File : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% 60.71/60.88 % Domain : Logic Calculi (Implication/Falsehood 2 valued sentential)
% 60.71/60.88 % Problem : C0-5 depends on the Merideth axiom
% 60.71/60.88 % Version : [McC92] axioms.
% 60.71/60.88 % English : Axiomatisations for the Implication/Falsehood 2 valued
% 60.71/60.88 % sentential calculus are {C0-1,C0-2,C0-3,C0-4}
% 60.71/60.88 % by Tarski-Bernays, {C0-2,C0-5,C0-6} by Church, and the single
% 60.71/60.88 % Meredith axioms. Show that C0-5 can be derived from the
% 60.71/60.88 % single Meredith axiom.
% 60.71/60.88
% 60.71/60.88 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 60.71/60.88 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 60.71/60.88 % Source : [McC92]
% 60.71/60.88 % Names : C0-48 [MW92]
% 60.71/60.88
% 60.71/60.88 % Status : Unsatisfiable
% 60.71/60.88 % Rating : 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.19 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.15 v5.1.0, 0.25 v5.0.0, 0.20 v4.1.0, 0.27 v4.0.1, 0.00 v3.1.0, 0.17 v2.7.0, 0.25 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.56 v2.1.0, 0.63 v2.0.0
% 60.71/60.88 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 60.71/60.88 % Number of literals : 5 ( 0 equ; 3 neg)
% 60.71/60.88 % Maximal clause size : 3 ( 1 avg)
% 60.71/60.88 % Maximal term depth : 6 ( 2 avg)
% 60.71/60.88 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 60.71/60.88 % Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% 60.71/60.88 % Number of variables : 7 ( 2 sgn)
% 60.71/60.88 % SPC : CNF_UNS_RFO_NEQ_HRN
% 60.71/60.88
% 60.71/60.88 % Comments :
% 60.71/60.88 %--------------------------------------------------------------------------
% 60.71/60.88 cnf(condensed_detachment,axiom,
% 60.71/60.88 ( ~ is_a_theorem(implies(X,Y))
% 60.71/60.88 | ~ is_a_theorem(X)
% 60.71/60.88 | is_a_theorem(Y) ) ).
% 60.71/60.88
% 60.71/60.88 cnf(c0_CAMerideth,axiom,
% 60.71/60.88 is_a_theorem(implies(implies(implies(implies(implies(X,Y),implies(Z,falsehood)),U),V),implies(implies(V,X),implies(Z,X)))) ).
% 60.71/60.88
% 60.71/60.88 cnf(prove_c0_5,negated_conjecture,
% 60.71/60.88 ~ is_a_theorem(implies(implies(implies(a,falsehood),falsehood),a)) ).
% 60.71/60.88
% 60.71/60.88 %--------------------------------------------------------------------------
% 60.71/60.88 %-------------------------------------------
% 60.71/60.88 % Proof found
% 60.71/60.88 % SZS status Theorem for theBenchmark
% 60.71/60.88 % SZS output start Proof
% 60.71/60.89 %ClaNum:3(EqnAxiom:0)
% 60.71/60.89 %VarNum:13(SingletonVarNum:7)
% 60.71/60.89 %MaxLitNum:3
% 60.71/60.89 %MaxfuncDepth:3
% 60.71/60.89 %SharedTerms:6
% 60.71/60.89 %goalClause: 2
% 60.71/60.89 %singleGoalClaCount:1
% 60.71/60.89 [2]~P1(f1(f1(f1(a3,a2),a2),a3))
% 60.71/60.89 [1]P1(f1(f1(f1(f1(f1(x11,x12),f1(x13,a2)),x14),x15),f1(f1(x15,x11),f1(x13,x11))))
% 60.71/60.89 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 60.71/60.89 %EqnAxiom
% 60.71/60.89
% 60.71/60.89 %-------------------------------------------
% 60.71/60.91 cnf(4,plain,
% 60.71/60.91 (P1(f1(f1(x41,x42),f1(x43,x42)))+~P1(f1(f1(f1(f1(x42,x44),f1(x43,a2)),x45),x41))),
% 60.71/60.91 inference(scs_inference,[],[1,3])).
% 60.71/60.91 cnf(5,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(x51,x52),f1(x53,x52)),f1(x52,x54)),f1(x55,f1(x52,x54))))),
% 60.71/60.91 inference(scs_inference,[],[1,4])).
% 60.71/60.91 cnf(6,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(f1(x61,x62),f1(x63,a2)),x64),x65),f1(f1(x65,x61),f1(x63,x61))))),
% 60.71/60.91 inference(rename_variables,[],[1])).
% 60.71/60.91 cnf(7,plain,
% 60.71/60.91 (P1(f1(f1(f1(x71,f1(a2,x72)),x73),f1(x74,x73)))),
% 60.71/60.91 inference(scs_inference,[],[1,6,4,3])).
% 60.71/60.91 cnf(10,plain,
% 60.71/60.91 (P1(f1(x101,f1(f1(a2,x102),f1(x103,f1(a2,x102)))))),
% 60.71/60.91 inference(scs_inference,[],[5,7,3])).
% 60.71/60.91 cnf(14,plain,
% 60.71/60.91 (P1(f1(f1(a2,x141),f1(x142,f1(a2,x141))))),
% 60.71/60.91 inference(scs_inference,[],[1,10,3])).
% 60.71/60.91 cnf(17,plain,
% 60.71/60.91 (~P1(f1(f1(x171,f1(a2,x172)),a3))),
% 60.71/60.91 inference(scs_inference,[],[7,2,3])).
% 60.71/60.91 cnf(24,plain,
% 60.71/60.91 (P1(f1(f1(f1(x241,x242),x243),f1(a2,x243)))),
% 60.71/60.91 inference(scs_inference,[],[7,14,10,3,4])).
% 60.71/60.91 cnf(33,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(a2,x331),f1(x332,f1(a2,x331))),x333),f1(x334,x333)))),
% 60.71/60.91 inference(scs_inference,[],[10,1,3])).
% 60.71/60.91 cnf(40,plain,
% 60.71/60.91 (P1(f1(f1(f1(a2,x401),x402),f1(x403,x402)))),
% 60.71/60.91 inference(scs_inference,[],[33,24,17,3,4])).
% 60.71/60.91 cnf(53,plain,
% 60.71/60.91 (P1(f1(x531,f1(x532,f1(x533,x532))))),
% 60.71/60.91 inference(scs_inference,[],[40,5,3])).
% 60.71/60.91 cnf(57,plain,
% 60.71/60.91 (P1(f1(f1(f1(x571,f1(x572,x571)),x573),f1(x574,x573)))),
% 60.71/60.91 inference(scs_inference,[],[40,5,3,4])).
% 60.71/60.91 cnf(62,plain,
% 60.71/60.91 (P1(f1(x621,f1(x622,x621)))),
% 60.71/60.91 inference(scs_inference,[],[53,57,3])).
% 60.71/60.91 cnf(91,plain,
% 60.71/60.91 (P1(f1(f1(f1(x911,f1(f1(f1(x912,x913),f1(x914,a2)),x915)),x912),f1(x914,x912)))),
% 60.71/60.91 inference(scs_inference,[],[62,4])).
% 60.71/60.91 cnf(94,plain,
% 60.71/60.91 (P1(f1(f1(f1(x941,x942),x943),f1(f1(f1(x942,x944),f1(x941,a2)),x943)))),
% 60.71/60.91 inference(scs_inference,[],[91,4])).
% 60.71/60.91 cnf(97,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(f1(f1(x971,a2),x972),f1(f1(x973,x974),a2)),x975),x973),f1(x971,x973)))),
% 60.71/60.91 inference(scs_inference,[],[94,4])).
% 60.71/60.91 cnf(100,plain,
% 60.71/60.91 (P1(f1(f1(f1(x1001,x1002),f1(f1(x1001,a2),x1003)),f1(x1004,f1(f1(x1001,a2),x1003))))),
% 60.71/60.91 inference(scs_inference,[],[97,4])).
% 60.71/60.91 cnf(103,plain,
% 60.71/60.91 (P1(f1(x1031,f1(f1(x1032,a2),f1(x1032,x1033))))),
% 60.71/60.91 inference(scs_inference,[],[62,97,4,3])).
% 60.71/60.91 cnf(109,plain,
% 60.71/60.91 (P1(f1(f1(x1091,a2),f1(x1091,x1092)))),
% 60.71/60.91 inference(scs_inference,[],[62,100,103,4,3])).
% 60.71/60.91 cnf(124,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(f1(x1241,x1242),f1(x1243,a2)),x1244),x1241),f1(x1243,x1241)))),
% 60.71/60.91 inference(scs_inference,[],[109,4])).
% 60.71/60.91 cnf(130,plain,
% 60.71/60.91 (P1(f1(f1(f1(x1301,x1302),f1(x1302,x1303)),f1(x1304,f1(x1302,x1303))))),
% 60.71/60.91 inference(scs_inference,[],[124,4])).
% 60.71/60.91 cnf(136,plain,
% 60.71/60.91 (P1(f1(f1(f1(x1361,f1(f1(x1362,a2),x1363)),x1364),f1(x1362,x1364)))),
% 60.71/60.91 inference(scs_inference,[],[130,4])).
% 60.71/60.91 cnf(142,plain,
% 60.71/60.91 (P1(f1(f1(f1(x1421,x1422),x1423),f1(f1(x1421,a2),x1423)))),
% 60.71/60.91 inference(scs_inference,[],[136,4])).
% 60.71/60.91 cnf(226,plain,
% 60.71/60.91 (P1(f1(x2261,f1(f1(f1(x2262,x2263),a2),f1(x2263,x2264))))),
% 60.71/60.91 inference(scs_inference,[],[130,100,3])).
% 60.71/60.91 cnf(238,plain,
% 60.71/60.91 (P1(f1(f1(f1(f1(x2381,a2),x2382),x2383),f1(x2381,x2383)))),
% 60.71/60.91 inference(scs_inference,[],[136,226,3,4])).
% 60.71/60.91 cnf(240,plain,
% 60.71/60.91 (P1(f1(f1(f1(x2401,x2402),x2401),f1(x2403,x2401)))),
% 60.71/60.91 inference(scs_inference,[],[238,4])).
% 60.71/60.91 cnf(247,plain,
% 60.71/60.91 (P1(f1(f1(f1(x2471,x2472),x2471),f1(x2473,x2471)))),
% 60.71/60.91 inference(rename_variables,[],[240])).
% 60.71/60.91 cnf(249,plain,
% 60.71/60.91 (P1(f1(x2491,f1(f1(f1(x2492,x2493),a2),x2492)))),
% 60.71/60.91 inference(scs_inference,[],[240,247,100,4,3])).
% 60.71/60.91 cnf(260,plain,
% 60.71/60.91 (P1(f1(x2601,f1(f1(f1(x2602,x2603),a2),x2602)))),
% 60.71/60.91 inference(rename_variables,[],[249])).
% 60.71/60.91 cnf(262,plain,
% 60.71/60.91 ($false),
% 60.71/60.91 inference(scs_inference,[],[142,249,260,2,4,3]),
% 60.71/60.91 ['proof']).
% 60.71/60.91 % SZS output end Proof
% 60.71/60.91 % Total time :60.140000s
%------------------------------------------------------------------------------