%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL002-1 : 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 : n001.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 15.83s 12.67s
% Output : CNFRefutation 15.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 3
% Syntax : Number of formulae : 125 ( 64 unt; 0 def)
% Number of atoms : 188 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 128 ( 65 ~; 63 |; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 457 ( 204 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_1,axiom,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
file('theBenchmark.p',an_1) ).
cnf(c_3,plain,
~ is_a_theorem(or(not(or(not(b),c)),or(not(or(a,b)),or(a,c)))),
inference(clausify,[status(thm)],[an_1]) ).
cnf(c_8894,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_8894,c_2]) ).
cnf(c_8895,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_6,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_8895,c_4]) ).
cnf(c_8896,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_10,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_8896,c_6]) ).
cnf(c_8897,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_10]) ).
cnf(c_13,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_8897,c_10]) ).
cnf(c_8898,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_13]) ).
cnf(c_27,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_8898,c_10]) ).
cnf(c_8899,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_27]) ).
cnf(c_28,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_8899,c_27]) ).
cnf(c_8900,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_33,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_8900,c_28]) ).
cnf(c_8901,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_44,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_8901,c_33]) ).
cnf(c_8902,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_10]) ).
cnf(c_56,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_8902,c_44]) ).
cnf(c_8903,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_131,plain,
is_a_theorem(or(not(or(not(not(or(not(A),B))),C)),or(D,or(or(not(A),B),C)))),
inference(resolve,[status(thm)],[c_8903,c_56]) ).
cnf(c_8904,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_13]) ).
cnf(c_179,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(or(not(D),E),C))))),
inference(resolve,[status(thm)],[c_8904,c_131]) ).
cnf(c_8905,plain,
( is_a_theorem(or(not(or(not(B),C)),or(not(C),or(or(not(D),E),C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_179]) ).
cnf(c_194,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(or(not(C),D),B)))),
inference(resolve,[status(thm)],[c_8905,c_179]) ).
cnf(c_8906,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_206,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),C)),or(not(D),or(D,C)))),
inference(resolve,[status(thm)],[c_8906,c_194]) ).
cnf(c_8907,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_13]) ).
cnf(c_224,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(C,C))))),
inference(resolve,[status(thm)],[c_8907,c_206]) ).
cnf(c_8908,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_224]) ).
cnf(c_316,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(B,B)))),
inference(resolve,[status(thm)],[c_8908,c_224]) ).
cnf(c_8909,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_328,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(A),or(A,B)))),
inference(resolve,[status(thm)],[c_8909,c_316]) ).
cnf(c_8910,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_333,plain,
is_a_theorem(or(not(or(not(A),A)),or(not(A),or(B,A)))),
inference(resolve,[status(thm)],[c_8910,c_328]) ).
cnf(c_8911,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_13]) ).
cnf(c_348,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(not(C),or(D,C))))),
inference(resolve,[status(thm)],[c_8911,c_333]) ).
cnf(c_8912,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_348]) ).
cnf(c_497,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(B),or(C,B)))),
inference(resolve,[status(thm)],[c_8912,c_348]) ).
cnf(c_8913,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_44]) ).
cnf(c_507,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(not(B),or(D,B))))),
inference(resolve,[status(thm)],[c_8913,c_497]) ).
cnf(c_8914,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_10]) ).
cnf(c_508,plain,
is_a_theorem(or(not(or(not(A),or(B,C))),or(D,or(not(C),or(B,C))))),
inference(resolve,[status(thm)],[c_8914,c_497]) ).
cnf(c_8915,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_509,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(C),or(C,B)))),
inference(resolve,[status(thm)],[c_8915,c_497]) ).
cnf(c_8916,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_524,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(A),or(C,B)))),
inference(resolve,[status(thm)],[c_8916,c_509]) ).
cnf(c_8917,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_10]) ).
cnf(c_537,plain,
is_a_theorem(or(not(or(not(A),or(B,C))),or(D,or(not(or(B,C)),or(B,C))))),
inference(resolve,[status(thm)],[c_8917,c_524]) ).
cnf(c_8918,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_575,plain,
is_a_theorem(or(not(or(not(not(A)),B)),or(C,or(or(D,A),B)))),
inference(resolve,[status(thm)],[c_8918,c_507]) ).
cnf(c_8919,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_851,plain,
is_a_theorem(or(not(or(not(or(A,B)),not(B))),or(C,or(D,not(B))))),
inference(resolve,[status(thm)],[c_8919,c_575]) ).
cnf(c_8920,plain,
( is_a_theorem(or(D,or(not(C),or(B,C))))
| ~ is_a_theorem(or(not(A),or(B,C))) ),
inference(resolve,[status(thm)],[c_1,c_508]) ).
cnf(c_907,plain,
is_a_theorem(or(A,or(not(or(B,not(C))),or(D,or(B,not(C)))))),
inference(resolve,[status(thm)],[c_8920,c_851]) ).
cnf(c_8921,plain,
( is_a_theorem(or(not(or(B,not(C))),or(D,or(B,not(C)))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_907]) ).
cnf(c_1290,plain,
is_a_theorem(or(not(or(A,not(B))),or(C,or(A,not(B))))),
inference(resolve,[status(thm)],[c_8921,c_907]) ).
cnf(c_8922,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_1311,plain,
is_a_theorem(or(not(or(not(not(A)),A)),or(B,or(not(C),A)))),
inference(resolve,[status(thm)],[c_8922,c_1290]) ).
cnf(c_8923,plain,
( is_a_theorem(or(D,or(not(C),or(B,C))))
| ~ is_a_theorem(or(not(A),or(B,C))) ),
inference(resolve,[status(thm)],[c_1,c_508]) ).
cnf(c_1338,plain,
is_a_theorem(or(A,or(not(or(not(B),C)),or(D,or(not(B),C))))),
inference(resolve,[status(thm)],[c_8923,c_1311]) ).
cnf(c_8924,plain,
( is_a_theorem(or(not(or(not(B),C)),or(D,or(not(B),C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_1338]) ).
cnf(c_1702,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(not(A),B)))),
inference(resolve,[status(thm)],[c_8924,c_1338]) ).
cnf(c_8925,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_1726,plain,
is_a_theorem(or(not(or(not(not(A)),A)),or(B,or(C,A)))),
inference(resolve,[status(thm)],[c_8925,c_1702]) ).
cnf(c_8926,plain,
( is_a_theorem(or(D,or(not(C),or(B,C))))
| ~ is_a_theorem(or(not(A),or(B,C))) ),
inference(resolve,[status(thm)],[c_1,c_508]) ).
cnf(c_1752,plain,
is_a_theorem(or(A,or(not(or(B,C)),or(D,or(B,C))))),
inference(resolve,[status(thm)],[c_8926,c_1726]) ).
cnf(c_8927,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_1759,plain,
is_a_theorem(or(not(or(not(A),not(B))),or(C,or(B,not(B))))),
inference(resolve,[status(thm)],[c_8927,c_1726]) ).
cnf(c_8928,plain,
( is_a_theorem(or(not(or(B,C)),or(D,or(B,C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_1752]) ).
cnf(c_1897,plain,
is_a_theorem(or(not(or(A,B)),or(C,or(A,B)))),
inference(resolve,[status(thm)],[c_8928,c_1752]) ).
cnf(c_8929,plain,
( is_a_theorem(or(not(A),or(C,B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_524]) ).
cnf(c_1907,plain,
is_a_theorem(or(not(or(A,B)),or(C,or(D,or(A,B))))),
inference(resolve,[status(thm)],[c_8929,c_1897]) ).
cnf(c_8930,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_1916,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(or(not(B),D),B)))),
inference(resolve,[status(thm)],[c_8930,c_1907]) ).
cnf(c_8931,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_2125,plain,
is_a_theorem(or(not(or(not(or(not(A),B)),C)),or(D,or(A,C)))),
inference(resolve,[status(thm)],[c_8931,c_1916]) ).
cnf(c_8932,plain,
( is_a_theorem(or(D,or(A,C)))
| ~ is_a_theorem(or(not(or(not(A),B)),C)) ),
inference(resolve,[status(thm)],[c_1,c_2125]) ).
cnf(c_2847,plain,
is_a_theorem(or(A,or(B,or(C,or(D,not(D)))))),
inference(resolve,[status(thm)],[c_8932,c_1759]) ).
cnf(c_8933,plain,
( is_a_theorem(or(D,or(A,C)))
| ~ is_a_theorem(or(not(or(not(A),B)),C)) ),
inference(resolve,[status(thm)],[c_1,c_2125]) ).
cnf(c_2853,plain,
is_a_theorem(or(A,or(B,or(not(C),or(C,D))))),
inference(resolve,[status(thm)],[c_8933,c_509]) ).
cnf(c_8934,plain,
( is_a_theorem(or(D,or(A,C)))
| ~ is_a_theorem(or(not(or(not(A),B)),C)) ),
inference(resolve,[status(thm)],[c_1,c_2125]) ).
cnf(c_2855,plain,
is_a_theorem(or(A,or(B,or(not(C),or(D,C))))),
inference(resolve,[status(thm)],[c_8934,c_497]) ).
cnf(c_8935,plain,
( is_a_theorem(or(B,or(not(C),or(C,D))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_2853]) ).
cnf(c_2991,plain,
is_a_theorem(or(A,or(not(B),or(B,C)))),
inference(resolve,[status(thm)],[c_8935,c_2853]) ).
cnf(c_8936,plain,
( is_a_theorem(or(not(B),or(B,C)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_2991]) ).
cnf(c_3001,plain,
is_a_theorem(or(not(A),or(A,B))),
inference(resolve,[status(thm)],[c_8936,c_2991]) ).
cnf(c_8937,plain,
( is_a_theorem(or(B,or(not(C),or(D,C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_2855]) ).
cnf(c_3248,plain,
is_a_theorem(or(A,or(not(B),or(C,B)))),
inference(resolve,[status(thm)],[c_8937,c_2855]) ).
cnf(c_8938,plain,
( is_a_theorem(or(not(B),or(C,B)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_3248]) ).
cnf(c_3254,plain,
is_a_theorem(or(not(A),or(B,A))),
inference(resolve,[status(thm)],[c_8938,c_3248]) ).
cnf(c_8939,plain,
( is_a_theorem(or(B,or(C,or(D,not(D)))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_2847]) ).
cnf(c_4288,plain,
is_a_theorem(or(A,or(B,or(C,not(C))))),
inference(resolve,[status(thm)],[c_8939,c_2847]) ).
cnf(c_8940,plain,
( is_a_theorem(or(B,or(C,not(C))))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_4288]) ).
cnf(c_4293,plain,
is_a_theorem(or(A,or(B,not(B)))),
inference(resolve,[status(thm)],[c_8940,c_4288]) ).
cnf(c_8941,plain,
( is_a_theorem(or(B,not(B)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_4293]) ).
cnf(c_4301,plain,
is_a_theorem(or(A,not(A))),
inference(resolve,[status(thm)],[c_8941,c_4293]) ).
cnf(c_8942,plain,
( is_a_theorem(not(not(A)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_4301]) ).
cnf(c_4309,plain,
is_a_theorem(not(not(or(A,not(A))))),
inference(resolve,[status(thm)],[c_8942,c_4301]) ).
cnf(c_8943,plain,
( is_a_theorem(or(A,B))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_3001]) ).
cnf(c_4484,plain,
is_a_theorem(or(not(not(or(A,not(A)))),B)),
inference(resolve,[status(thm)],[c_8943,c_4309]) ).
cnf(c_8944,plain,
( is_a_theorem(or(D,or(not(or(B,C)),or(B,C))))
| ~ is_a_theorem(or(not(A),or(B,C))) ),
inference(resolve,[status(thm)],[c_1,c_537]) ).
cnf(c_5450,plain,
is_a_theorem(or(A,or(not(or(B,C)),or(B,C)))),
inference(resolve,[status(thm)],[c_8944,c_4484]) ).
cnf(c_8945,plain,
( is_a_theorem(or(not(or(B,C)),or(B,C)))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_5450]) ).
cnf(c_5563,plain,
is_a_theorem(or(not(or(A,B)),or(A,B))),
inference(resolve,[status(thm)],[c_8945,c_5450]) ).
cnf(c_8946,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_5581,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(A,C)),or(C,B)))),
inference(resolve,[status(thm)],[c_8946,c_5450]) ).
cnf(c_8947,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_10]) ).
cnf(c_5593,plain,
is_a_theorem(or(not(or(not(A),B)),or(C,or(not(B),B)))),
inference(resolve,[status(thm)],[c_8947,c_5563]) ).
cnf(c_8948,plain,
( is_a_theorem(or(C,or(not(B),B)))
| ~ is_a_theorem(or(not(A),B)) ),
inference(resolve,[status(thm)],[c_1,c_5593]) ).
cnf(c_5838,plain,
is_a_theorem(or(A,or(not(B),B))),
inference(resolve,[status(thm)],[c_8948,c_4484]) ).
cnf(c_8949,plain,
( is_a_theorem(or(not(B),B))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_5838]) ).
cnf(c_5839,plain,
is_a_theorem(or(not(A),A)),
inference(resolve,[status(thm)],[c_8949,c_5838]) ).
cnf(c_8950,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_5581]) ).
cnf(c_6190,plain,
is_a_theorem(or(not(or(A,B)),or(B,A))),
inference(resolve,[status(thm)],[c_8950,c_5839]) ).
cnf(c_8951,plain,
( is_a_theorem(or(B,A))
| ~ is_a_theorem(A) ),
inference(resolve,[status(thm)],[c_1,c_3254]) ).
cnf(c_6265,plain,
is_a_theorem(or(A,or(not(or(B,C)),or(C,B)))),
inference(resolve,[status(thm)],[c_8951,c_6190]) ).
cnf(c_8952,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_8892,plain,
is_a_theorem(or(not(or(not(A),B)),or(not(or(C,A)),or(C,B)))),
inference(resolve,[status(thm)],[c_8952,c_6265]) ).
cnf(c_8893,plain,
$false,
inference(resolve,[status(thm)],[c_8892,c_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.58 % Computer : n001.cluster.edu
% 0.10/10.58 % Model : x86_64 x86_64
% 0.10/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.58 % Memory : 8046.5625MB
% 0.10/10.58 % OS : Linux 6.8.0-71-generic
% 0.10/10.58 % CPULimit : 300
% 0.10/10.58 % WCLimit : 300
% 0.10/10.58 % DateTime : Fri Sep 25 21:48:37 UTC 2026
% 0.10/10.58 % CPUTime :
% 0.10/10.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/10.58 % Process 124810 was started by sandbox2 on n001,
% 0.10/10.58 % Fri Sep 25 21:48:37 2026
% 0.10/10.58 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/10.59
% 0.10/10.59 % From the command line: assign(max_seconds, 300).
% 15.83/12.67
% 15.83/12.67 % Assigning unary symbol not kb_weight 0 and highest precedence (6).
% 15.83/12.67
% 15.83/12.67 % SZS status Unsatisfiable for theBenchmark
% 15.83/12.67
% 15.83/12.67 % Proof 1 at 1.38 (+ 0.62) seconds.
% 15.83/12.67 % Length of proof is 63.
% 15.83/12.67 % Level of proof is 48.
% 15.83/12.67 % Maximum clause weight is 73.000.
% 15.83/12.67 % Given clauses 399.
% 15.83/12.67
% 15.83/12.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------