TSTP Solution File: LCL104-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : LCL104-1 : 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 : n005.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 06:47:58 EDT 2023
% Result : Unsatisfiable 1.15s 1.24s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL104-1 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.35 % Computer : n005.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 04:23:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.60 start to proof:theBenchmark
% 1.15/1.23 %-------------------------------------------
% 1.15/1.23 % File :CSE---1.6
% 1.15/1.23 % Problem :theBenchmark
% 1.15/1.23 % Transform :cnf
% 1.15/1.23 % Format :tptp:raw
% 1.15/1.23 % Command :java -jar mcs_scs.jar %d %s
% 1.15/1.23
% 1.15/1.23 % Result :Theorem 0.580000s
% 1.15/1.23 % Output :CNFRefutation 0.580000s
% 1.15/1.23 %-------------------------------------------
% 1.15/1.23 %--------------------------------------------------------------------------
% 1.15/1.23 % File : LCL104-1 : TPTP v8.1.2. Released v1.0.0.
% 1.15/1.24 % Domain : Logic Calculi (Left group)
% 1.15/1.24 % Problem : P-1 depends on the 6th McCune system
% 1.15/1.24 % Version : [McC92b] axioms.
% 1.15/1.24 % English : Axiomatisations of the left group calculus are {LG-1,
% 1.15/1.24 % LG-2,LG-3,LG-4,LG-5} by Kalman, {LG-2,LG-3}, {LG-2,P-1},
% 1.15/1.24 % {LG-2,P-4}, {LG-2,Q-1,Q-2}, {P-1,Q-3}, {P-4,Q-3}, {Q-1,
% 1.15/1.24 % Q-2,Q-3}, {Q-1,Q-3,Q-4}, {LG-27-1690} all by McCune. Show
% 1.15/1.24 % that P-1 depends on the sixth McCune system.
% 1.15/1.24
% 1.15/1.24 % Refs : [MW92] McCune & Wos (1992), Experiments in Automated Deductio
% 1.15/1.24 % : [McC92a] McCune (1992), Automated Discovery of New Axiomatisat
% 1.15/1.24 % : [McC92b] McCune (1992), Email to G. Sutcliffe
% 1.15/1.24 % Source : [McC92b]
% 1.15/1.24 % Names : LG-97 [MW92]
% 1.15/1.24
% 1.15/1.24 % Status : Unsatisfiable
% 1.15/1.24 % 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, 0.13 v2.0.0
% 1.15/1.24 % Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% 1.15/1.24 % Number of literals : 6 ( 0 equ; 3 neg)
% 1.15/1.24 % Maximal clause size : 3 ( 1 avg)
% 1.15/1.24 % Maximal term depth : 6 ( 2 avg)
% 1.15/1.24 % Number of predicates : 1 ( 1 usr; 0 prp; 1-1 aty)
% 1.15/1.24 % Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% 1.15/1.24 % Number of variables : 9 ( 0 sgn)
% 1.15/1.24 % SPC : CNF_UNS_RFO_NEQ_HRN
% 1.15/1.24
% 1.15/1.24 % Comments :
% 1.15/1.24 %--------------------------------------------------------------------------
% 1.15/1.24 cnf(condensed_detachment,axiom,
% 1.15/1.24 ( ~ is_a_theorem(equivalent(X,Y))
% 1.15/1.24 | ~ is_a_theorem(X)
% 1.15/1.24 | is_a_theorem(Y) ) ).
% 1.15/1.24
% 1.15/1.24 cnf(p_4,axiom,
% 1.15/1.24 is_a_theorem(equivalent(X,equivalent(equivalent(equivalent(equivalent(Y,Z),equivalent(Y,U)),equivalent(Z,U)),X))) ).
% 1.15/1.24
% 1.15/1.24 cnf(q_3,axiom,
% 1.15/1.24 is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),Z)),Z)) ).
% 1.15/1.24
% 1.15/1.24 cnf(prove_p_1,negated_conjecture,
% 1.15/1.24 ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))) ).
% 1.15/1.24
% 1.15/1.24 %--------------------------------------------------------------------------
% 1.15/1.24 %-------------------------------------------
% 1.15/1.24 % Proof found
% 1.15/1.24 % SZS status Theorem for theBenchmark
% 1.15/1.24 % SZS output start Proof
% 1.15/1.24 %ClaNum:4(EqnAxiom:0)
% 1.15/1.24 %VarNum:18(SingletonVarNum:9)
% 1.15/1.24 %MaxLitNum:3
% 1.15/1.24 %MaxfuncDepth:4
% 1.15/1.24 %SharedTerms:12
% 1.15/1.24 %goalClause: 3
% 1.15/1.24 %singleGoalClaCount:1
% 1.15/1.24 [3]~P1(f1(f1(f1(a2,a3),a4),f1(f1(a5,a3),f1(f1(a2,a5),a4))))
% 1.15/1.24 [1]P1(f1(f1(f1(x11,x12),f1(f1(x12,x11),x13)),x13))
% 1.15/1.24 [2]P1(f1(x21,f1(f1(f1(f1(x22,x23),f1(x22,x24)),f1(x23,x24)),x21)))
% 1.15/1.24 [4]P1(x41)+~P1(x42)+~P1(f1(x42,x41))
% 1.15/1.24 %EqnAxiom
% 1.15/1.24
% 1.15/1.24 %-------------------------------------------
% 1.15/1.24 cnf(5,plain,
% 1.15/1.24 (P1(f1(f1(x51,x52),f1(f1(x53,x51),f1(x53,x52))))),
% 1.15/1.24 inference(scs_inference,[],[1,2,4])).
% 1.15/1.24 cnf(9,plain,
% 1.15/1.24 (P1(f1(f1(x91,f1(f1(x92,x93),f1(f1(x93,x92),x94))),f1(x91,x94)))),
% 1.15/1.24 inference(scs_inference,[],[1,5,4])).
% 1.15/1.24 cnf(15,plain,
% 1.15/1.24 (P1(f1(x151,x151))),
% 1.15/1.24 inference(scs_inference,[],[5,1,4])).
% 1.15/1.24 cnf(19,plain,
% 1.15/1.24 (P1(f1(f1(f1(f1(x191,x192),f1(x191,x193)),f1(x192,x193)),f1(x194,x194)))),
% 1.15/1.24 inference(scs_inference,[],[15,2,4])).
% 1.15/1.24 cnf(22,plain,
% 1.15/1.24 (P1(f1(f1(x221,f1(f1(f1(x222,x223),f1(x222,x224)),f1(x223,x224))),f1(x221,f1(x225,x225))))),
% 1.15/1.24 inference(scs_inference,[],[5,19,4])).
% 1.15/1.24 cnf(25,plain,
% 1.15/1.24 (P1(f1(f1(f1(f1(x251,x252),f1(x251,x253)),f1(f1(x254,x255),f1(f1(x255,x254),f1(x252,x253)))),f1(x256,x256)))),
% 1.15/1.24 inference(scs_inference,[],[9,22,4])).
% 1.15/1.24 cnf(37,plain,
% 1.15/1.24 (P1(f1(f1(f1(x371,x372),f1(f1(x372,x371),f1(x373,x374))),f1(f1(x375,x373),f1(x375,x374))))),
% 1.15/1.24 inference(scs_inference,[],[1,25,4])).
% 1.15/1.24 cnf(48,plain,
% 1.15/1.24 (P1(f1(f1(x481,f1(x482,x483)),f1(x481,f1(f1(x484,x482),f1(x484,x483)))))),
% 1.15/1.24 inference(scs_inference,[],[2,37,4])).
% 1.15/1.24 cnf(66,plain,
% 1.15/1.24 (P1(f1(f1(f1(x661,x662),f1(x661,x663)),f1(x662,x663)))),
% 1.15/1.24 inference(scs_inference,[],[9,48,4])).
% 1.15/1.24 cnf(78,plain,
% 1.15/1.24 (P1(f1(f1(x781,f1(f1(x782,x783),f1(x782,x784))),f1(x781,f1(x783,x784))))),
% 1.15/1.24 inference(scs_inference,[],[66,5,4])).
% 1.15/1.24 cnf(121,plain,
% 1.15/1.24 (P1(f1(f1(f1(f1(x1211,x1212),f1(x1211,x1213)),x1214),f1(f1(x1212,x1213),x1214)))),
% 1.15/1.24 inference(scs_inference,[],[78,2,4])).
% 1.15/1.24 cnf(125,plain,
% 1.15/1.24 (~P1(f1(f1(f1(x1251,f1(a2,a3)),f1(x1251,a4)),f1(f1(a5,a3),f1(f1(a2,a5),a4))))),
% 1.15/1.24 inference(scs_inference,[],[121,3,4])).
% 1.15/1.24 cnf(128,plain,
% 1.15/1.24 ($false),
% 1.15/1.24 inference(scs_inference,[],[125,121]),
% 1.15/1.24 ['proof']).
% 1.15/1.24 % SZS output end Proof
% 1.15/1.24 % Total time :0.580000s
%------------------------------------------------------------------------------