TSTP Solution File: LCL081-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL081-1 : 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 : 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 06:47:54 EDT 2023
% Result : Unsatisfiable 120.63s 121.40s
% Output : CNFRefutation 120.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL081-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox/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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Aug 25 05:35:32 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 120.53/121.34 %-------------------------------------------
% 120.53/121.34 % File :CSE---1.6
% 120.53/121.34 % Problem :theBenchmark
% 120.53/121.34 % Transform :cnf
% 120.53/121.34 % Format :tptp:raw
% 120.53/121.34 % Command :java -jar mcs_scs.jar %d %s
% 120.53/121.34
% 120.53/121.34 % Result :Theorem 120.040000s
% 120.53/121.34 % Output :CNFRefutation 120.040000s
% 120.53/121.34 %-------------------------------------------
% 120.63/121.40 %--------------------------------------------------------------------------
% 120.63/121.40 % File : LCL081-1 : TPTP v8.1.2. Released v1.0.0.
% 120.63/121.40 % Domain : Logic Calculi (Implicational propositional)
% 120.63/121.40 % Problem : IC-1 depends on the 1st Lukasiewicz axiom
% 120.63/121.40 % Version : [McC92] axioms.
% 120.63/121.40 % English : Axiomatisations of the Implicational propositional calculus
% 120.63/121.40 % are {IC-2,IC-3,IC-4} by Tarski-Bernays and single Lukasiewicz
% 120.63/121.40 % axioms.Show that IC-1 depends on the first Lukasiewicz axiom.
% 120.63/121.40
% 120.63/121.40 % Refs : [Luk48] Lukasiewicz (1948), The Shortest Axiom of the Implicat
% 120.63/121.40 % : [Pfe88] Pfenning (1988), Single Axioms in the Implicational Pr
% 120.63/121.40 % : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 120.63/121.40 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 120.63/121.40 % Source : [McC92]
% 120.63/121.40 % Names : I1 [Pfe88]
% 120.63/121.40 % : IC-64 [MW92]
% 120.63/121.40 % : ls1 [SETHEO]
% 120.63/121.40
% 120.63/121.40 % Status : Unsatisfiable
% 120.63/121.40 % Rating : 0.00 v5.4.0, 0.06 v5.3.0, 0.10 v5.2.0, 0.08 v5.1.0, 0.06 v5.0.0, 0.07 v4.0.1, 0.00 v2.2.1, 0.11 v2.1.0, 0.00 v2.0.0
% 120.63/121.40 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 120.63/121.40 % Number of literals : 5 ( 0 equ; 3 neg)
% 120.63/121.40 % Maximal clause size : 3 ( 1 avg)
% 120.63/121.40 % Maximal term depth : 4 ( 2 avg)
% 120.63/121.40 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.63/121.40 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 120.63/121.40 % Number of variables : 6 ( 2 sgn)
% 120.63/121.40 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.63/121.40
% 120.63/121.40 % Comments :
% 120.63/121.40 %--------------------------------------------------------------------------
% 120.63/121.40 cnf(condensed_detachment,axiom,
% 120.63/121.40 ( ~ is_a_theorem(implies(X,Y))
% 120.63/121.40 | ~ is_a_theorem(X)
% 120.63/121.40 | is_a_theorem(Y) ) ).
% 120.63/121.40
% 120.63/121.40 cnf(ic_JLukasiewicz,axiom,
% 120.63/121.40 is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))) ).
% 120.63/121.40
% 120.63/121.40 cnf(prove_ic_1,negated_conjecture,
% 120.63/121.40 ~ is_a_theorem(implies(a,a)) ).
% 120.63/121.40
% 120.63/121.40 %--------------------------------------------------------------------------
% 120.63/121.40 %-------------------------------------------
% 120.63/121.40 % Proof found
% 120.63/121.40 % SZS status Theorem for theBenchmark
% 120.63/121.40 % SZS output start Proof
% 120.69/121.45 %ClaNum:3(EqnAxiom:0)
% 120.69/121.45 %VarNum:11(SingletonVarNum:6)
% 120.69/121.45 %MaxLitNum:3
% 120.69/121.45 %MaxfuncDepth:3
% 120.69/121.45 %SharedTerms:3
% 120.69/121.45 %goalClause: 2
% 120.69/121.45 %singleGoalClaCount:1
% 120.69/121.45 [2]~P1(f1(a2,a2))
% 120.69/121.45 [1]P1(f1(f1(f1(x11,x12),x13),f1(f1(x13,x11),f1(x14,x11))))
% 120.69/121.45 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 120.69/121.45 %EqnAxiom
% 120.69/121.45
% 120.69/121.45 %-------------------------------------------
% 120.69/121.50 cnf(4,plain,
% 120.69/121.50 (~P1(f1(f1(f1(f1(x41,x42),x43),f1(f1(x43,x41),f1(x44,x41))),f1(a2,a2)))),
% 120.69/121.50 inference(scs_inference,[],[2,1,3])).
% 120.69/121.50 cnf(5,plain,
% 120.69/121.50 (P1(f1(f1(x51,x52),f1(x53,x52)))+~P1(f1(f1(x52,x54),x51))),
% 120.69/121.50 inference(scs_inference,[],[1,3])).
% 120.69/121.50 cnf(6,plain,
% 120.69/121.50 (P1(f1(f1(f1(f1(x61,x62),f1(x63,x62)),f1(x62,x64)),f1(x65,f1(x62,x64))))),
% 120.69/121.50 inference(scs_inference,[],[1,5])).
% 120.69/121.50 cnf(8,plain,
% 120.69/121.50 (~P1(f1(f1(f1(x81,a2),f1(x82,a2)),f1(a2,a2)))),
% 120.69/121.50 inference(scs_inference,[],[6,4,3])).
% 120.69/121.50 cnf(11,plain,
% 120.69/121.50 (P1(f1(f1(f1(x111,f1(x112,x113)),f1(f1(x114,x112),f1(x115,x112))),f1(x116,f1(f1(x114,x112),f1(x115,x112)))))),
% 120.69/121.50 inference(scs_inference,[],[6,1,3])).
% 120.69/121.50 cnf(14,plain,
% 120.69/121.50 (P1(f1(f1(f1(x141,f1(f1(x142,x143),f1(x144,x143))),f1(x145,f1(x143,x146))),f1(x147,f1(x145,f1(x143,x146)))))),
% 120.69/121.50 inference(scs_inference,[],[1,11,3])).
% 120.69/121.50 cnf(17,plain,
% 120.69/121.50 (P1(f1(x171,f1(f1(f1(f1(x172,x173),f1(x174,x173)),x175),f1(x173,x175))))),
% 120.69/121.50 inference(scs_inference,[],[1,14,3])).
% 120.69/121.50 cnf(28,plain,
% 120.69/121.50 (P1(f1(f1(f1(f1(x281,x282),f1(x283,x282)),x284),f1(x282,x284)))),
% 120.69/121.50 inference(scs_inference,[],[1,17,3])).
% 120.69/121.50 cnf(31,plain,
% 120.69/121.50 (P1(f1(f1(f1(x311,x312),f1(f1(x313,x311),f1(x314,x311))),f1(x315,f1(f1(x313,x311),f1(x314,x311)))))),
% 120.69/121.50 inference(scs_inference,[],[1,28,3])).
% 120.69/121.50 cnf(34,plain,
% 120.69/121.50 (P1(f1(f1(f1(x341,f1(f1(x342,x343),f1(x344,x343))),f1(x343,x345)),f1(x346,f1(x343,x345))))),
% 120.69/121.50 inference(scs_inference,[],[1,31,3])).
% 120.69/121.50 cnf(46,plain,
% 120.69/121.50 (P1(f1(x461,f1(f1(x462,x463),f1(x463,x463))))),
% 120.69/121.50 inference(scs_inference,[],[34,11,3])).
% 120.69/121.50 cnf(50,plain,
% 120.69/121.50 (P1(f1(f1(x501,x502),f1(x502,x502)))),
% 120.69/121.50 inference(scs_inference,[],[46,31,3])).
% 120.69/121.50 cnf(56,plain,
% 120.69/121.50 (P1(f1(x561,f1(f1(x562,f1(f1(x563,x564),f1(x565,x564))),f1(x564,f1(f1(x563,x564),f1(x565,x564))))))),
% 120.69/121.50 inference(scs_inference,[],[6,31,3])).
% 120.69/121.50 cnf(60,plain,
% 120.69/121.50 (P1(f1(f1(x601,f1(f1(x602,x603),f1(x604,x603))),f1(x603,f1(f1(x602,x603),f1(x604,x603)))))),
% 120.69/121.50 inference(scs_inference,[],[6,56,3])).
% 120.69/121.50 cnf(63,plain,
% 120.69/121.50 (P1(f1(x631,f1(f1(x632,x631),f1(x633,x631))))),
% 120.69/121.50 inference(scs_inference,[],[6,60,3])).
% 120.69/121.50 cnf(67,plain,
% 120.69/121.50 (P1(f1(f1(x671,f1(f1(x672,x673),f1(x673,x673))),f1(x674,f1(f1(x672,x673),f1(x673,x673)))))),
% 120.69/121.50 inference(scs_inference,[],[63,50,3])).
% 120.69/121.50 cnf(73,plain,
% 120.69/121.50 (P1(f1(x731,f1(f1(x732,f1(x733,x733)),f1(f1(x734,x733),f1(x733,x733)))))),
% 120.69/121.50 inference(scs_inference,[],[67,31,3])).
% 120.69/121.50 cnf(77,plain,
% 120.69/121.50 (P1(f1(f1(f1(f1(x771,f1(x772,x772)),f1(f1(x773,x772),f1(x772,x772))),x774),f1(x775,x774)))),
% 120.69/121.50 inference(scs_inference,[],[73,1,3])).
% 120.69/121.50 cnf(81,plain,
% 120.69/121.50 (~P1(f1(f1(f1(x811,f1(x812,x812)),f1(f1(x813,x812),f1(x812,x812))),f1(a2,a2)))),
% 120.69/121.50 inference(scs_inference,[],[8,77,3])).
% 120.69/121.50 cnf(84,plain,
% 120.69/121.50 (P1(f1(f1(f1(f1(x841,x842),f1(x842,x842)),x843),f1(x844,x843)))),
% 120.69/121.50 inference(scs_inference,[],[46,1,3])).
% 120.69/121.50 cnf(88,plain,
% 120.69/121.50 (~P1(f1(f1(f1(x881,x882),f1(x882,x882)),f1(a2,a2)))),
% 120.69/121.50 inference(scs_inference,[],[84,81,3])).
% 120.69/121.50 cnf(91,plain,
% 120.69/121.50 (~P1(f1(f1(f1(x911,f1(f1(x912,x913),f1(x913,x913))),f1(x914,f1(f1(x912,x913),f1(x913,x913)))),f1(a2,a2)))),
% 120.69/121.50 inference(scs_inference,[],[28,88,3])).
% 120.69/121.50 cnf(101,plain,
% 120.69/121.50 (P1(f1(f1(f1(x1011,x1011),x1012),f1(x1013,x1012)))),
% 120.69/121.50 inference(scs_inference,[],[50,1,3])).
% 120.69/121.50 cnf(104,plain,
% 120.69/121.51 ($false),
% 120.69/121.51 inference(scs_inference,[],[50,101,91,3]),
% 120.69/121.51 ['proof']).
% 120.69/121.51 % SZS output end Proof
% 120.69/121.51 % Total time :120.040000s
%------------------------------------------------------------------------------