TSTP Solution File: LCL011-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 06:47:39 EDT 2023
% Result : Unsatisfiable 120.75s 121.61s
% Output : CNFRefutation 120.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 02:17:51 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof:theBenchmark
% 120.67/121.57 %-------------------------------------------
% 120.67/121.57 % File :CSE---1.6
% 120.67/121.57 % Problem :theBenchmark
% 120.67/121.57 % Transform :cnf
% 120.67/121.57 % Format :tptp:raw
% 120.67/121.57 % Command :java -jar mcs_scs.jar %d %s
% 120.67/121.57
% 120.67/121.57 % Result :Theorem 120.100000s
% 120.67/121.57 % Output :CNFRefutation 120.100000s
% 120.67/121.57 %-------------------------------------------
% 120.75/121.61 %--------------------------------------------------------------------------
% 120.75/121.61 % File : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 120.75/121.61 % Domain : Logic Calculi (Equivalential)
% 120.75/121.61 % Problem : YQF depends on YQJ
% 120.75/121.61 % Version : [McC92] axioms.
% 120.75/121.61 % English : Show that the single Lukasiewicz axiom YQF can be derived
% 120.75/121.61 % from the single Lukasiewicz axiom YQJ.
% 120.75/121.61
% 120.75/121.61 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 120.75/121.61 % : [McC92] McCune (1992), Email to G. Sutcliffe
% 120.75/121.61 % : [Wos95] Wos (1995), Searching for Circles of Pure Proofs
% 120.75/121.61 % Source : [McC92]
% 120.75/121.61 % Names : EC-74 [MW92]
% 120.75/121.61
% 120.75/121.61 % Status : Unsatisfiable
% 120.75/121.61 % Rating : 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.4.0, 0.06 v5.3.0, 0.05 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, 0.25 v2.0.0
% 120.75/121.61 % Syntax : Number of clauses : 3 ( 2 unt; 0 nHn; 2 RR)
% 120.75/121.61 % Number of literals : 5 ( 0 equ; 3 neg)
% 120.75/121.61 % Maximal clause size : 3 ( 1 avg)
% 120.75/121.61 % Maximal term depth : 4 ( 2 avg)
% 120.75/121.61 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 120.75/121.61 % Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% 120.75/121.61 % Number of variables : 5 ( 0 sgn)
% 120.75/121.61 % SPC : CNF_UNS_RFO_NEQ_HRN
% 120.75/121.61
% 120.75/121.61 % Comments :
% 120.75/121.61 %--------------------------------------------------------------------------
% 120.75/121.61 cnf(condensed_detachment,axiom,
% 120.75/121.61 ( ~ is_a_theorem(equivalent(X,Y))
% 120.75/121.61 | ~ is_a_theorem(X)
% 120.75/121.61 | is_a_theorem(Y) ) ).
% 120.75/121.61
% 120.75/121.61 %----Axiom by Lukasiewicz
% 120.75/121.61 cnf(yqj,axiom,
% 120.75/121.61 is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Z,X),equivalent(Y,Z)))) ).
% 120.75/121.61
% 120.75/121.61 %----Axiom by Lukasiewicz
% 120.75/121.61 cnf(prove_yqf,negated_conjecture,
% 120.75/121.61 ~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(a,c),equivalent(c,b)))) ).
% 120.75/121.61
% 120.75/121.61 %--------------------------------------------------------------------------
% 120.75/121.61 %-------------------------------------------
% 120.75/121.61 % Proof found
% 120.75/121.61 % SZS status Theorem for theBenchmark
% 120.75/121.61 % SZS output start Proof
% 120.75/121.64 %ClaNum:3(EqnAxiom:0)
% 120.75/121.64 %VarNum:10(SingletonVarNum:5)
% 120.75/121.64 %MaxLitNum:3
% 120.75/121.64 %MaxfuncDepth:3
% 120.75/121.64 %SharedTerms:9
% 120.75/121.64 %goalClause: 2
% 120.75/121.64 %singleGoalClaCount:1
% 120.75/121.64 [2]~P1(f1(f1(a2,a3),f1(f1(a2,a4),f1(a4,a3))))
% 120.75/121.64 [1]P1(f1(f1(x11,x12),f1(f1(x13,x11),f1(x12,x13))))
% 120.75/121.64 [3]P1(x31)+~P1(x32)+~P1(f1(x32,x31))
% 120.75/121.64 %EqnAxiom
% 120.75/121.64
% 120.75/121.64 %-------------------------------------------
% 120.75/121.67 cnf(4,plain,
% 120.75/121.67 (P1(f1(f1(x41,x42),f1(x43,x41)))+~P1(f1(x42,x43))),
% 120.75/121.67 inference(scs_inference,[],[1,3])).
% 120.75/121.67 cnf(5,plain,
% 120.75/121.67 (P1(f1(f1(x51,f1(x52,x53)),f1(f1(f1(x54,x52),f1(x53,x54)),x51)))),
% 120.75/121.67 inference(scs_inference,[],[1,4])).
% 120.75/121.67 cnf(6,plain,
% 120.75/121.67 (P1(f1(f1(f1(x61,x62),f1(x63,x61)),x64))+~P1(f1(x64,f1(x62,x63)))),
% 120.75/121.67 inference(scs_inference,[],[1,4,3])).
% 120.75/121.67 cnf(7,plain,
% 120.75/121.67 (P1(f1(f1(f1(x71,f1(f1(x72,x73),f1(x74,x72))),f1(x75,x71)),f1(x75,f1(x73,x74))))),
% 120.75/121.67 inference(scs_inference,[],[1,6,4])).
% 120.75/121.67 cnf(8,plain,
% 120.75/121.67 (P1(f1(f1(x81,f1(f1(x82,f1(x83,x84)),f1(f1(x85,x83),x82))),f1(f1(x84,x85),x81)))),
% 120.75/121.67 inference(scs_inference,[],[1,6,4])).
% 120.75/121.67 cnf(9,plain,
% 120.75/121.67 (P1(f1(f1(f1(x91,f1(x92,x93)),f1(f1(x94,x92),x91)),f1(x93,x94)))),
% 120.75/121.67 inference(scs_inference,[],[1,6])).
% 120.75/121.67 cnf(11,plain,
% 120.75/121.67 (P1(f1(f1(x111,f1(f1(x112,f1(f1(x113,x114),f1(x115,x113))),f1(x116,x112))),f1(f1(x116,f1(x114,x115)),x111)))),
% 120.75/121.67 inference(scs_inference,[],[1,7,6,4])).
% 120.75/121.67 cnf(13,plain,
% 120.75/121.67 (~P1(f1(f1(x131,f1(f1(x132,f1(a2,a4)),f1(f1(a4,a3),x132))),f1(f1(a2,a3),x131)))),
% 120.75/121.67 inference(scs_inference,[],[1,7,2,6,4,3])).
% 120.75/121.67 cnf(19,plain,
% 120.75/121.67 (P1(f1(f1(f1(x191,x192),f1(x193,x191)),f1(f1(x194,f1(x195,x192)),f1(f1(x193,x195),x194))))),
% 120.75/121.67 inference(scs_inference,[],[9,6])).
% 120.75/121.67 cnf(21,plain,
% 120.75/121.67 (P1(f1(f1(x211,f1(x212,f1(x213,x214))),f1(f1(f1(f1(x215,x213),f1(x214,x215)),x212),x211)))),
% 120.75/121.67 inference(scs_inference,[],[9,5,6,4])).
% 120.75/121.67 cnf(26,plain,
% 120.75/121.67 (P1(f1(f1(f1(x261,f1(x262,x263)),f1(x264,x261)),f1(x264,f1(f1(x265,f1(x266,x262)),f1(f1(x263,x266),x265)))))),
% 120.75/121.67 inference(scs_inference,[],[8,6])).
% 120.75/121.67 cnf(31,plain,
% 120.75/121.67 (P1(f1(f1(f1(x311,f1(x312,f1(x313,x314))),f1(x315,x311)),f1(x315,f1(f1(x316,f1(f1(x317,x313),f1(x314,x317))),f1(x312,x316)))))),
% 120.75/121.67 inference(scs_inference,[],[11,6])).
% 120.75/121.67 cnf(33,plain,
% 120.75/121.67 (~P1(f1(f1(f1(a2,a3),f1(f1(x331,x332),f1(x333,x331))),f1(f1(f1(x334,f1(a2,a4)),f1(f1(a4,a3),x334)),f1(x332,x333))))),
% 120.75/121.67 inference(scs_inference,[],[11,21,13,6,3])).
% 120.75/121.67 cnf(81,plain,
% 120.75/121.67 (~P1(f1(f1(x811,f1(a3,f1(a4,a3))),f1(f1(a2,f1(a2,a4)),x811)))),
% 120.75/121.67 inference(scs_inference,[],[19,33,3])).
% 120.75/121.67 cnf(93,plain,
% 120.75/121.67 (~P1(f1(f1(f1(a2,f1(a2,a4)),f1(f1(x931,x932),f1(x933,x931))),f1(f1(a3,f1(a4,a3)),f1(x932,x933))))),
% 120.75/121.67 inference(scs_inference,[],[21,81,3])).
% 120.75/121.67 cnf(110,plain,
% 120.75/121.67 (~P1(f1(f1(f1(x1101,a2),f1(f1(a2,a4),x1101)),f1(a3,f1(a4,a3))))),
% 120.75/121.67 inference(scs_inference,[],[93,1,3])).
% 120.75/121.67 cnf(114,plain,
% 120.75/121.67 (~P1(f1(f1(a3,f1(a4,a3)),f1(f1(x1141,f1(f1(x1142,f1(a2,a4)),f1(x1143,x1142))),f1(f1(x1143,a2),x1141))))),
% 120.75/121.67 inference(scs_inference,[],[11,110,3])).
% 120.75/121.67 cnf(117,plain,
% 120.75/121.67 (~P1(f1(f1(x1171,f1(f1(x1172,a2),f1(f1(a2,a4),x1172))),f1(f1(a3,f1(a4,a3)),x1171)))),
% 120.75/121.67 inference(scs_inference,[],[31,114,3])).
% 120.75/121.67 cnf(120,plain,
% 120.75/121.67 ($false),
% 120.75/121.67 inference(scs_inference,[],[26,117,1,3]),
% 120.75/121.67 ['proof']).
% 120.75/121.67 % SZS output end Proof
% 120.75/121.67 % Total time :120.100000s
%------------------------------------------------------------------------------