%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:57:44 AM UTC 2026
% Result : Unsatisfiable 12.09s 2.05s
% Output : CNFRefutation 11.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 127 ( 65 unt; 0 def)
% Number of atoms : 191 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 130 ( 66 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 482 ( 206 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(condensed_detachment,axiom,
! [VAR_0,VAR_1] :
( is_a_theorem(VAR_1)
| ~ is_a_theorem(VAR_0)
| ~ is_a_theorem(or(not(VAR_0),VAR_1)) ),
file('theBenchmark.p',condensed_detachment) ).
cnf(c_1,plain,
( is_a_theorem(B)
| ~ is_a_theorem(A)
| ~ is_a_theorem(or(not(A),B)) ),
inference(clausify,[status(thm)],[condensed_detachment]) ).
fof(an_CAMeredith,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] : is_a_theorem(or(not(or(not(or(not(VAR_0),VAR_1)),or(VAR_2,or(VAR_3,VAR_4)))),or(not(or(not(VAR_3),VAR_0)),or(VAR_2,or(VAR_4,VAR_0))))),
file('theBenchmark.p',an_CAMeredith) ).
cnf(c_2,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),or(C,or(D,E)))),or(not(or(not(D),A)),or(C,or(E,A))))),
inference(clausify,[status(thm)],[an_CAMeredith]) ).
fof(an_4,axiom,
~ is_a_theorem(or(not(or(a,a)),a)),
file('theBenchmark.p',an_4) ).
cnf(c_3,plain,
~ is_a_theorem(or(not(or(a,a)),a)),
inference(clausify,[status(thm)],[an_4]) ).
cnf(c_11039,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_4,plain,
is_a_theorem(or(not(or(not(A),or(not(B),C))),or(not(or(not(D),B)),or(or(E,B),or(not(B),C))))),
inference(resolve,[status(thm)],[c_11039,c_2]) ).
cnf(c_11040,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_5,plain,
is_a_theorem(or(not(or(not(or(A,B)),C)),or(not(or(not(D),B)),or(or(not(B),E),C)))),
inference(resolve,[status(thm)],[c_11040,c_4]) ).
cnf(c_11041,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_9,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),or(C,A))),or(not(or(not(D),A)),or(E,or(C,A))))),
inference(resolve,[status(thm)],[c_11041,c_5]) ).
cnf(c_11042,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_11,plain,
is_a_theorem(or(not(or(not(A),or(not(B),or(C,B)))),or(D,or(not(or(not(E),B)),or(not(B),or(C,B)))))),
inference(resolve,[status(thm)],[c_11042,c_9]) ).
cnf(c_11043,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_16,plain,
is_a_theorem(or(not(or(not(not(or(not(A),B))),C)),or(D,or(or(not(B),or(E,B)),C)))),
inference(resolve,[status(thm)],[c_11043,c_11]) ).
cnf(c_11044,plain,
( is_a_theorem(or(D,or(not(or(not(E),B)),or(not(B),or(C,B)))))
| ~ is_a_theorem(or(not(A),or(not(B),or(C,B)))) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_17,plain,
is_a_theorem(or(A,or(not(or(not(B),or(not(C),D))),or(not(or(not(C),D)),or(E,or(not(C),D)))))),
inference(resolve,[status(thm)],[c_11044,c_9]) ).
cnf(c_11045,plain,
( is_a_theorem(or(not(or(not(B),or(not(C),D))),or(not(or(not(C),D)),or(E,or(not(C),D)))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_17]) ).
cnf(c_18,plain,
is_a_theorem(or(not(or(not(A),or(not(B),C))),or(not(or(not(B),C)),or(D,or(not(B),C))))),
inference(resolve,[status(thm)],[c_11045,c_17]) ).
cnf(c_11046,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_21,plain,
is_a_theorem(or(not(or(not(A),or(B,or(not(C),D)))),or(E,or(not(or(not(C),D)),or(B,or(not(C),D)))))),
inference(resolve,[status(thm)],[c_11046,c_18]) ).
cnf(c_11047,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_22,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(not(C),D)),or(or(not(C),D),B)))),
inference(resolve,[status(thm)],[c_11047,c_18]) ).
cnf(c_11048,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_27,plain,
is_a_theorem(or(not(or(not(A),or(or(not(B),C),D))),or(E,or(not(or(not(B),C)),or(or(not(B),C),D))))),
inference(resolve,[status(thm)],[c_11048,c_22]) ).
cnf(c_11049,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_30,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),C)),or(not(or(not(A),B)),or(D,C)))),
inference(resolve,[status(thm)],[c_11049,c_22]) ).
cnf(c_11050,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_41,plain,
is_a_theorem(or(not(or(not(A),or(not(B),C))),or(D,or(not(or(not(B),C)),or(not(B),C))))),
inference(resolve,[status(thm)],[c_11050,c_30]) ).
cnf(c_11051,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_81,plain,
is_a_theorem(or(not(or(not(A),or(not(or(not(B),C)),or(not(B),C)))),or(D,or(E,or(not(or(not(B),C)),or(not(B),C)))))),
inference(resolve,[status(thm)],[c_11051,c_41]) ).
cnf(c_11052,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_91,plain,
is_a_theorem(or(not(or(not(or(not(A),or(B,A))),not(or(not(C),A)))),or(D,or(E,not(or(not(C),A)))))),
inference(resolve,[status(thm)],[c_11052,c_16]) ).
cnf(c_11053,plain,
( is_a_theorem(or(E,or(not(or(not(C),D)),or(B,or(not(C),D)))))
| ~ is_a_theorem(or(not(A),or(B,or(not(C),D)))) ),
inference(resolve,[status(thm)],[c_1,c_21]) ).
cnf(c_129,plain,
is_a_theorem(or(A,or(not(or(not(B),not(or(not(C),D)))),or(E,or(not(B),not(or(not(C),D))))))),
inference(resolve,[status(thm)],[c_11053,c_91]) ).
cnf(c_11054,plain,
( is_a_theorem(or(E,or(not(or(not(C),D)),or(B,or(not(C),D)))))
| ~ is_a_theorem(or(not(A),or(B,or(not(C),D)))) ),
inference(resolve,[status(thm)],[c_1,c_21]) ).
cnf(c_130,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(or(not(D),E)),or(not(B),C))))),
inference(resolve,[status(thm)],[c_11054,c_30]) ).
cnf(c_11055,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(or(not(D),E)),or(not(B),C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_130]) ).
cnf(c_133,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(not(C),D)),or(not(A),B)))),
inference(resolve,[status(thm)],[c_11055,c_130]) ).
cnf(c_11056,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_142,plain,
is_a_theorem(or(not(or(not(not(A)),A)),or(not(or(not(B),C)),or(D,A)))),
inference(resolve,[status(thm)],[c_11056,c_133]) ).
cnf(c_11057,plain,
( is_a_theorem(or(not(or(not(B),not(or(not(C),D)))),or(E,or(not(B),not(or(not(C),D))))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_129]) ).
cnf(c_188,plain,
is_a_theorem(or(not(or(not(A),not(or(not(B),C)))),or(D,or(not(A),not(or(not(B),C)))))),
inference(resolve,[status(thm)],[c_11057,c_129]) ).
cnf(c_11058,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_193,plain,
is_a_theorem(or(not(or(not(not(A)),A)),or(B,or(not(or(not(C),D)),A)))),
inference(resolve,[status(thm)],[c_11058,c_188]) ).
cnf(c_11059,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_229,plain,
is_a_theorem(or(not(or(not(not(or(not(A),B))),not(C))),or(D,or(C,not(C))))),
inference(resolve,[status(thm)],[c_11059,c_193]) ).
cnf(c_11060,plain,
( is_a_theorem(or(E,or(not(or(not(B),C)),or(or(not(B),C),D))))
| ~ is_a_theorem(or(not(A),or(or(not(B),C),D))) ),
inference(resolve,[status(thm)],[c_1,c_27]) ).
cnf(c_239,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(or(not(B),C),or(D,not(D)))))),
inference(resolve,[status(thm)],[c_11060,c_229]) ).
cnf(c_11061,plain,
( is_a_theorem(or(not(or(not(B),C)),or(or(not(B),C),or(D,not(D)))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_239]) ).
cnf(c_247,plain,
is_a_theorem(or(not(or(not(A),B)),or(or(not(A),B),or(C,not(C))))),
inference(resolve,[status(thm)],[c_11061,c_239]) ).
cnf(c_11062,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_261,plain,
is_a_theorem(or(not(or(not(A),B)),or(or(not(B),C),or(not(A),B)))),
inference(resolve,[status(thm)],[c_11062,c_247]) ).
cnf(c_11063,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_305,plain,
is_a_theorem(or(not(or(not(not(A)),A)),or(or(not(B),C),or(B,A)))),
inference(resolve,[status(thm)],[c_11063,c_261]) ).
cnf(c_11064,plain,
( is_a_theorem(or(E,or(not(or(not(B),C)),or(or(not(B),C),D))))
| ~ is_a_theorem(or(not(A),or(or(not(B),C),D))) ),
inference(resolve,[status(thm)],[c_1,c_27]) ).
cnf(c_314,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(or(not(B),C),or(B,D))))),
inference(resolve,[status(thm)],[c_11064,c_305]) ).
cnf(c_11065,plain,
( is_a_theorem(or(not(or(not(B),C)),or(or(not(B),C),or(B,D))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_314]) ).
cnf(c_350,plain,
is_a_theorem(or(not(or(not(A),B)),or(or(not(A),B),or(A,C)))),
inference(resolve,[status(thm)],[c_11065,c_314]) ).
cnf(c_11066,plain,
( is_a_theorem(or(not(or(not(A),B)),or(D,C)))
| ~ is_a_theorem(or(not(or(not(A),B)),C)) ),
inference(resolve,[status(thm)],[c_1,c_30]) ).
cnf(c_365,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(or(not(A),B),or(A,D))))),
inference(resolve,[status(thm)],[c_11066,c_350]) ).
cnf(c_11067,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_485,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),A)),or(C,or(or(A,D),A)))),
inference(resolve,[status(thm)],[c_11067,c_365]) ).
cnf(c_11068,plain,
( is_a_theorem(or(D,or(not(or(not(E),B)),or(not(B),or(C,B)))))
| ~ is_a_theorem(or(not(A),or(not(B),or(C,B)))) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_643,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(or(C,D),C))))),
inference(resolve,[status(thm)],[c_11068,c_485]) ).
cnf(c_11069,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(C),or(or(C,D),C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_643]) ).
cnf(c_780,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(or(B,C),B)))),
inference(resolve,[status(thm)],[c_11069,c_643]) ).
cnf(c_11070,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_812,plain,
is_a_theorem(or(not(or(not(or(A,B)),C)),or(not(A),or(A,C)))),
inference(resolve,[status(thm)],[c_11070,c_780]) ).
cnf(c_11071,plain,
( is_a_theorem(or(D,or(not(or(not(E),B)),or(not(B),or(C,B)))))
| ~ is_a_theorem(or(not(A),or(not(B),or(C,B)))) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_843,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(C,C))))),
inference(resolve,[status(thm)],[c_11071,c_812]) ).
cnf(c_11072,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_844,plain,
is_a_theorem(or(not(or(not(A),or(B,C))),or(D,or(not(B),or(B,C))))),
inference(resolve,[status(thm)],[c_11072,c_812]) ).
cnf(c_11073,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(C),or(C,C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_843]) ).
cnf(c_904,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(B,B)))),
inference(resolve,[status(thm)],[c_11073,c_843]) ).
cnf(c_11074,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_939,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(A),or(A,B)))),
inference(resolve,[status(thm)],[c_11074,c_904]) ).
cnf(c_11075,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_964,plain,
is_a_theorem(or(not(or(not(A),A)),or(not(A),or(B,A)))),
inference(resolve,[status(thm)],[c_11075,c_939]) ).
cnf(c_11076,plain,
( is_a_theorem(or(D,or(not(or(not(E),B)),or(not(B),or(C,B)))))
| ~ is_a_theorem(or(not(A),or(not(B),or(C,B)))) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_995,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(D,C))))),
inference(resolve,[status(thm)],[c_11076,c_964]) ).
cnf(c_11077,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(C),or(D,C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_995]) ).
cnf(c_1231,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(C,B)))),
inference(resolve,[status(thm)],[c_11077,c_995]) ).
cnf(c_11078,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_1270,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(C),or(C,B)))),
inference(resolve,[status(thm)],[c_11078,c_1231]) ).
cnf(c_11079,plain,
( is_a_theorem(or(D,or(E,or(not(or(not(B),C)),or(not(B),C)))))
| ~ is_a_theorem(or(not(A),or(not(or(not(B),C)),or(not(B),C)))) ),
inference(resolve,[status(thm)],[c_1,c_81]) ).
cnf(c_1349,plain,
is_a_theorem(or(A,or(B,or(not(or(not(C),D)),or(not(C),D))))),
inference(resolve,[status(thm)],[c_11079,c_142]) ).
cnf(c_11080,plain,
( is_a_theorem(or(B,or(not(or(not(C),D)),or(not(C),D))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_1349]) ).
cnf(c_4200,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(B),C)))),
inference(resolve,[status(thm)],[c_11080,c_1349]) ).
cnf(c_11081,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(B),C)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_4200]) ).
cnf(c_4216,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(A),B))),
inference(resolve,[status(thm)],[c_11081,c_4200]) ).
cnf(c_11082,plain,
( is_a_theorem(or(D,or(not(B),or(B,C))))
| ~ is_a_theorem(or(not(A),or(B,C))) ),
inference(resolve,[status(thm)],[c_1,c_844]) ).
cnf(c_4295,plain,
is_a_theorem(or(A,or(not(not(B)),or(not(B),C)))),
inference(resolve,[status(thm)],[c_11082,c_4216]) ).
cnf(c_11083,plain,
( is_a_theorem(or(not(or(not(D),A)),or(E,or(C,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,A))) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_4311,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(not(B),B)))),
inference(resolve,[status(thm)],[c_11083,c_4216]) ).
cnf(c_11084,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_4640,plain,
is_a_theorem(or(not(or(not(not(A)),B)),or(C,or(A,B)))),
inference(resolve,[status(thm)],[c_11084,c_4311]) ).
cnf(c_11085,plain,
( is_a_theorem(or(not(not(B)),or(not(B),C)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_4295]) ).
cnf(c_4654,plain,
is_a_theorem(or(not(not(A)),or(not(A),B))),
inference(resolve,[status(thm)],[c_11085,c_4295]) ).
cnf(c_11086,plain,
( is_a_theorem(or(C,or(A,B)))
| ~ is_a_theorem(or(not(not(A)),B)) ),
inference(resolve,[status(thm)],[c_1,c_4640]) ).
cnf(c_6056,plain,
is_a_theorem(or(A,or(B,or(not(B),C)))),
inference(resolve,[status(thm)],[c_11086,c_4654]) ).
cnf(c_11087,plain,
( is_a_theorem(or(B,or(not(B),C)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_6056]) ).
cnf(c_6060,plain,
is_a_theorem(or(A,or(not(A),B))),
inference(resolve,[status(thm)],[c_11087,c_6056]) ).
cnf(c_11088,plain,
( is_a_theorem(or(not(not(A)),B))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_6060]) ).
cnf(c_6070,plain,
is_a_theorem(or(not(not(or(A,or(not(A),B)))),C)),
inference(resolve,[status(thm)],[c_11088,c_6060]) ).
cnf(c_11089,plain,
( is_a_theorem(or(C,or(not(B),B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_4311]) ).
cnf(c_6359,plain,
is_a_theorem(or(A,or(not(B),B))),
inference(resolve,[status(thm)],[c_11089,c_6070]) ).
cnf(c_11090,plain,
( is_a_theorem(or(not(C),or(C,B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_1270]) ).
cnf(c_6361,plain,
is_a_theorem(or(not(A),or(A,B))),
inference(resolve,[status(thm)],[c_11090,c_6070]) ).
cnf(c_11091,plain,
( is_a_theorem(or(not(B),B))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_6359]) ).
cnf(c_6534,plain,
is_a_theorem(or(not(A),A)),
inference(resolve,[status(thm)],[c_11091,c_6359]) ).
cnf(c_11092,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_6543,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(A,C)),or(C,B)))),
inference(resolve,[status(thm)],[c_11092,c_6359]) ).
cnf(c_11093,plain,
( is_a_theorem(or(not(or(not(D),A)),or(C,or(E,A))))
| ~ is_a_theorem(or(not(or(not(A),B)),or(C,or(D,E)))) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
cnf(c_7146,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(B,A)),or(C,B)))),
inference(resolve,[status(thm)],[c_11093,c_6543]) ).
cnf(c_11094,plain,
( is_a_theorem(or(not(or(A,C)),or(C,B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_6543]) ).
cnf(c_7155,plain,
is_a_theorem(or(not(or(A,B)),or(B,or(A,C)))),
inference(resolve,[status(thm)],[c_11094,c_6361]) ).
cnf(c_11095,plain,
( is_a_theorem(or(not(or(B,A)),or(C,B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_7146]) ).
cnf(c_10729,plain,
is_a_theorem(or(not(or(A,A)),or(B,A))),
inference(resolve,[status(thm)],[c_11095,c_6534]) ).
cnf(c_11096,plain,
( is_a_theorem(or(B,or(A,C)))
| ~ is_a_theorem(or(A,B)) ),
inference(resolve,[status(thm)],[c_1,c_7155]) ).
cnf(c_10756,plain,
is_a_theorem(or(or(A,B),or(not(or(B,B)),C))),
inference(resolve,[status(thm)],[c_11096,c_10729]) ).
cnf(c_11097,plain,
( is_a_theorem(or(B,A))
| ~ is_a_theorem(or(A,A)) ),
inference(resolve,[status(thm)],[c_1,c_10729]) ).
cnf(c_11012,plain,
is_a_theorem(or(A,or(not(or(B,B)),B))),
inference(resolve,[status(thm)],[c_11097,c_10756]) ).
cnf(c_11098,plain,
( is_a_theorem(or(not(or(B,B)),B))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_11012]) ).
cnf(c_11037,plain,
is_a_theorem(or(not(or(A,A)),A)),
inference(resolve,[status(thm)],[c_11098,c_11012]) ).
cnf(c_11038,plain,
$false,
inference(resolve,[status(thm)],[c_11037,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 21:45:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.37 % Process 3519310 was started by sandbox2 on n026,
% 0.10/0.37 % Fri Sep 25 21:45:40 2026
% 0.10/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/0.37
% 0.10/0.37 % From the command line: assign(max_seconds, 300).
% 12.09/2.05
% 12.09/2.05 % given #500 (A,wt=79): 1523 is_a_theorem(or(A,or(not(or(not(B),C)),or(D,or(E,or(not(B),or(F,C))))))). [hyper(1,a,1350,a,b,1350,a)].
% 12.09/2.05
% 12.09/2.05 % SZS status Unsatisfiable for theBenchmark
% 12.09/2.05
% 12.09/2.05 % Proof 1 at 1.20 (+ 0.45) seconds.
% 12.09/2.05 % Length of proof is 64.
% 12.09/2.05 % Level of proof is 36.
% 12.09/2.05 % Maximum clause weight is 100.000.
% 12.09/2.05 % Given clauses 551.
% 12.09/2.05
% 12.09/2.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------