TSTP Solution File: LCL086-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL086-1 : 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 : n008.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 06:47:55 EDT 2023
% Result : Unsatisfiable 0.20s 0.67s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 18:25:32 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof:theBenchmark
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % File :CSE---1.6
% 0.20/0.67 % Problem :theBenchmark
% 0.20/0.67 % Transform :cnf
% 0.20/0.67 % Format :tptp:raw
% 0.20/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.67
% 0.20/0.67 % Result :Theorem 0.050000s
% 0.20/0.67 % Output :CNFRefutation 0.050000s
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 % File : LCL086-1 : TPTP v8.1.2. Released v1.0.0.
% 0.20/0.67 % Domain : Logic Calculi (Implicational propositional)
% 0.20/0.67 % Problem : IC-1 depends on the 4th Lukasiewicz axiom
% 0.20/0.67 % Version : [TPTP] axioms.
% 0.20/0.67 % English : Axiomatisations of the Implicational propositional calculus
% 0.20/0.67 % are {IC-2,IC-3,IC-4} by Tarski-Bernays and single Lukasiewicz
% 0.20/0.67 % axioms. Show that IC-1 depends on the fourth Lukasiewicz
% 0.20/0.67 % axiom.
% 0.20/0.67
% 0.20/0.67 % Refs : [Luk48] Lukasiewicz (1948), The Shortest Axiom of the Implicat
% 0.20/0.67 % : [Pfe88] Pfenning (1988), Single Axioms in the Implicational Pr
% 0.20/0.67 % Source : [TPTP]
% 0.20/0.67 % Names :
% 0.20/0.67
% 0.20/0.67 % Status : Unsatisfiable
% 0.20/0.67 % Rating : 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.17 v5.3.0, 0.20 v5.2.0, 0.08 v5.1.0, 0.19 v5.0.0, 0.20 v4.0.1, 0.00 v2.6.0, 0.29 v2.5.0, 0.00 v2.4.0, 0.00 v2.3.0, 0.14 v2.2.1, 0.22 v2.1.0, 0.25 v2.0.0
% 0.20/0.67 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 0.20/0.67 % Number of literals : 5 ( 0 equ; 3 neg)
% 0.20/0.67 % Maximal clause size : 3 ( 1 avg)
% 0.20/0.67 % Maximal term depth : 5 ( 2 avg)
% 0.20/0.67 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 0.20/0.67 % Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.20/0.67 % Number of variables : 7 ( 2 sgn)
% 0.20/0.67 % SPC : CNF_UNS_RFO_NEQ_HRN
% 0.20/0.67
% 0.20/0.67 % Comments :
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 cnf(condensed_detachment,axiom,
% 0.20/0.67 ( ~ is_a_theorem(implies(X,Y))
% 0.20/0.67 | ~ is_a_theorem(X)
% 0.20/0.67 | is_a_theorem(Y) ) ).
% 0.20/0.67
% 0.20/0.67 cnf(ic_JLukasiewicz_4,axiom,
% 0.20/0.67 is_a_theorem(implies(implies(implies(P,Q),implies(R,S)),implies(T,implies(implies(S,P),implies(R,P))))) ).
% 0.20/0.67
% 0.20/0.67 cnf(prove_ic_1,negated_conjecture,
% 0.20/0.67 ~ is_a_theorem(implies(a,a)) ).
% 0.20/0.67
% 0.20/0.67 %--------------------------------------------------------------------------
% 0.20/0.67 %-------------------------------------------
% 0.20/0.67 % Proof found
% 0.20/0.67 % SZS status Theorem for theBenchmark
% 0.20/0.67 % SZS output start Proof
% 0.20/0.67 %ClaNum:3(EqnAxiom:0)
% 0.20/0.67 %VarNum:13(SingletonVarNum:7)
% 0.20/0.67 %MaxLitNum:3
% 0.20/0.67 %MaxfuncDepth:4
% 0.20/0.67 %SharedTerms:3
% 0.20/0.67 %goalClause: 2
% 0.20/0.67 %singleGoalClaCount:1
% 0.20/0.67 [2]~P1(f1(a2,a2))
% 0.20/0.67 [1]P1(f1(f1(f1(x11,x12),f1(x13,x14)),f1(x15,f1(f1(x14,x11),f1(x13,x11)))))
% 0.20/0.67 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 0.20/0.67 %EqnAxiom
% 0.20/0.67
% 0.20/0.67 %-------------------------------------------
% 0.20/0.68 cnf(5,plain,
% 0.20/0.68 (P1(f1(x51,f1(f1(x52,x53),f1(x54,x53))))+~P1(f1(f1(x53,x55),f1(x54,x52)))),
% 0.20/0.68 inference(scs_inference,[],[1,3])).
% 0.20/0.68 cnf(6,plain,
% 0.20/0.68 (P1(f1(x61,f1(f1(f1(f1(x62,x63),f1(x64,x63)),f1(x63,x65)),f1(x66,f1(x63,x65)))))),
% 0.20/0.68 inference(scs_inference,[],[1,5])).
% 0.20/0.68 cnf(8,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(x81,x82),f1(x83,x82)),f1(x82,x84)),f1(x85,f1(x82,x84))))),
% 0.20/0.68 inference(scs_inference,[],[6,1,3])).
% 0.20/0.68 cnf(16,plain,
% 0.20/0.68 (P1(f1(x161,f1(x162,f1(f1(x162,x163),f1(x164,x163)))))),
% 0.20/0.68 inference(scs_inference,[],[8,1,3])).
% 0.20/0.68 cnf(20,plain,
% 0.20/0.68 (P1(f1(x201,f1(f1(f1(f1(x202,x203),f1(x204,x203)),x205),f1(x202,x205))))),
% 0.20/0.68 inference(scs_inference,[],[16,5])).
% 0.20/0.68 cnf(21,plain,
% 0.20/0.68 (P1(f1(x211,f1(x212,f1(f1(x212,x213),f1(x214,x213)))))),
% 0.20/0.68 inference(rename_variables,[],[16])).
% 0.20/0.68 cnf(23,plain,
% 0.20/0.68 (P1(f1(x231,f1(f1(x231,x232),f1(x233,x232))))),
% 0.20/0.68 inference(scs_inference,[],[16,21,6,5,3])).
% 0.20/0.68 cnf(28,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(x281,x282),f1(x283,x282)),x284),f1(x281,x284)))),
% 0.20/0.68 inference(scs_inference,[],[16,20,3])).
% 0.20/0.68 cnf(34,plain,
% 0.20/0.68 (P1(f1(f1(f1(f1(f1(f1(x341,x342),f1(x343,x342)),x344),f1(x341,x344)),x345),f1(x346,x345)))),
% 0.20/0.68 inference(scs_inference,[],[23,28,3])).
% 0.20/0.68 cnf(37,plain,
% 0.20/0.68 (~P1(f1(f1(x371,f1(f1(x371,x372),f1(x373,x372))),f1(a2,a2)))),
% 0.20/0.68 inference(scs_inference,[],[23,2,3])).
% 0.20/0.68 cnf(39,plain,
% 0.20/0.68 (P1(f1(f1(x391,x392),f1(x393,f1(x392,f1(x394,x392)))))),
% 0.20/0.68 inference(scs_inference,[],[28,8,3])).
% 0.20/0.68 cnf(50,plain,
% 0.20/0.68 (P1(f1(x501,f1(f1(x502,x503),f1(x504,f1(x502,x503)))))),
% 0.20/0.68 inference(scs_inference,[],[28,39,3])).
% 0.20/0.68 cnf(53,plain,
% 0.20/0.68 (P1(f1(f1(x531,x532),f1(x533,f1(x531,x532))))),
% 0.20/0.68 inference(scs_inference,[],[34,50,3])).
% 0.20/0.68 cnf(56,plain,
% 0.20/0.68 (P1(f1(x561,f1(f1(f1(x562,x563),x562),f1(x564,x562))))),
% 0.20/0.68 inference(scs_inference,[],[53,5])).
% 0.20/0.68 cnf(60,plain,
% 0.20/0.68 (P1(f1(f1(f1(x601,x602),x601),f1(x603,x601)))),
% 0.20/0.68 inference(scs_inference,[],[34,56,3])).
% 0.20/0.68 cnf(63,plain,
% 0.20/0.68 (~P1(f1(f1(f1(a2,a2),x631),f1(a2,a2)))),
% 0.20/0.68 inference(scs_inference,[],[37,60,3])).
% 0.20/0.68 cnf(66,plain,
% 0.20/0.68 ($false),
% 0.20/0.68 inference(scs_inference,[],[63,60]),
% 0.20/0.68 ['proof']).
% 0.20/0.68 % SZS output end Proof
% 0.20/0.68 % Total time :0.050000s
%------------------------------------------------------------------------------