%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:51:07 AM UTC 2026
% Result : Unsatisfiable 0.21s 5.52s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 19
% Syntax : Number of formulae : 87 ( 17 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 214 ( 78 ~; 136 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 96 ( 3 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1_06,axiom,
! [VAR_0,VAR_1] :
( 'LE'(f(VAR_1),'0')
| 'E'('0',f(VAR_1))
| ~ iLEQ(VAR_0,VAR_1)
| ~ 'LE'(f(VAR_0),s('0')) ),
file('theBenchmark.p',clause_1_06) ).
cnf(c_1,plain,
( 'LE'(f(B),'0')
| 'E'('0',f(B))
| ~ iLEQ(A,B)
| ~ 'LE'(f(A),s('0')) ),
inference(clausify,[status(thm)],[clause_1_06]) ).
fof(clause_18_04,axiom,
! [VAR_0] : iLEQ(VAR_0,VAR_0),
file('theBenchmark.p',clause_18_04) ).
cnf(c_2,plain,
iLEQ(A,A),
inference(clausify,[status(thm)],[clause_18_04]) ).
fof(clause_14_03,axiom,
! [VAR_0] : iLEQ(VAR_0,g(VAR_0)),
file('theBenchmark.p',clause_14_03) ).
cnf(c_3,plain,
iLEQ(A,g(A)),
inference(clausify,[status(thm)],[clause_14_03]) ).
fof(clause_20_08,axiom,
! [VAR_0] : iLEQ(VAR_0,VAR_0),
file('theBenchmark.p',clause_20_08) ).
cnf(c_5,plain,
iLEQ(A,A),
inference(clausify,[status(thm)],[clause_20_08]) ).
fof(clause_16_15,axiom,
! [VAR_0,VAR_1] :
( 'LE'(f(VAR_1),s(s('0')))
| 'E'(s(s('0')),f(VAR_1))
| ~ iLEQ(VAR_0,VAR_1)
| ~ 'LE'(f(VAR_0),s(s(s('0')))) ),
file('theBenchmark.p',clause_16_15) ).
cnf(c_6,plain,
( 'LE'(f(B),s(s('0')))
| 'E'(s(s('0')),f(B))
| ~ iLEQ(A,B)
| ~ 'LE'(f(A),s(s(s('0')))) ),
inference(clausify,[status(thm)],[clause_16_15]) ).
fof(clause_7_16,axiom,
! [VAR_0,VAR_1] :
( 'LE'(f(VAR_1),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(VAR_1))
| ~ iLEQ(VAR_0,VAR_1)
| ~ 'LE'(f(VAR_0),s(s(s(s(s('0')))))) ),
file('theBenchmark.p',clause_7_16) ).
cnf(c_7,plain,
( 'LE'(f(B),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(B))
| ~ iLEQ(A,B)
| ~ 'LE'(f(A),s(s(s(s(s('0')))))) ),
inference(clausify,[status(thm)],[clause_7_16]) ).
fof(clause_26_17,axiom,
! [VAR_0,VAR_1] :
( 'LE'(f(VAR_1),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(VAR_1))
| ~ iLEQ(VAR_0,VAR_1)
| ~ 'LE'(f(VAR_0),s(s(s(s('0'))))) ),
file('theBenchmark.p',clause_26_17) ).
cnf(c_8,plain,
( 'LE'(f(B),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(B))
| ~ iLEQ(A,B)
| ~ 'LE'(f(A),s(s(s(s('0'))))) ),
inference(clausify,[status(thm)],[clause_26_17]) ).
fof(clause_22_25,axiom,
! [VAR_0] : iLEQ(VAR_0,g(VAR_0)),
file('theBenchmark.p',clause_22_25) ).
cnf(c_14,plain,
iLEQ(A,g(A)),
inference(clausify,[status(thm)],[clause_22_25]) ).
fof(clause_2_29,axiom,
! [VAR_0] : iLEQ(VAR_0,VAR_0),
file('theBenchmark.p',clause_2_29) ).
cnf(c_16,plain,
iLEQ(A,A),
inference(clausify,[status(thm)],[clause_2_29]) ).
fof(clause_17_32,axiom,
! [VAR_0,VAR_1] :
( 'LE'(f(VAR_1),s('0'))
| 'E'(s('0'),f(VAR_1))
| ~ iLEQ(VAR_0,VAR_1)
| ~ 'LE'(f(VAR_0),s(s('0'))) ),
file('theBenchmark.p',clause_17_32) ).
cnf(c_17,plain,
( 'LE'(f(B),s('0'))
| 'E'(s('0'),f(B))
| ~ iLEQ(A,B)
| ~ 'LE'(f(A),s(s('0'))) ),
inference(clausify,[status(thm)],[clause_17_32]) ).
cnf(c_18,plain,
( 'LE'(f(g(A)),s('0'))
| 'E'(s('0'),f(g(A)))
| ~ 'LE'(f(A),s(s('0'))) ),
inference(resolve,[status(thm)],[c_17,c_14]) ).
cnf(c_19,plain,
( 'LE'(f(A),s('0'))
| 'E'(s('0'),f(A))
| ~ 'LE'(f(A),s(s('0'))) ),
inference(resolve,[status(thm)],[c_17,c_16]) ).
cnf(c_20,plain,
( 'LE'(f(g(A)),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(A)))
| ~ 'LE'(f(A),s(s(s(s('0'))))) ),
inference(resolve,[status(thm)],[c_8,c_3]) ).
cnf(c_21,plain,
( 'LE'(f(A),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(A))
| ~ 'LE'(f(A),s(s(s(s('0'))))) ),
inference(resolve,[status(thm)],[c_8,c_5]) ).
cnf(c_22,plain,
( 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A)))
| ~ 'LE'(f(A),s(s(s(s(s('0')))))) ),
inference(resolve,[status(thm)],[c_7,c_3]) ).
cnf(c_23,plain,
( 'LE'(f(A),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(A))
| ~ 'LE'(f(A),s(s(s(s(s('0')))))) ),
inference(resolve,[status(thm)],[c_7,c_5]) ).
cnf(c_24,plain,
( 'LE'(f(g(A)),s(s('0')))
| 'E'(s(s('0')),f(g(A)))
| ~ 'LE'(f(A),s(s(s('0')))) ),
inference(resolve,[status(thm)],[c_6,c_3]) ).
cnf(c_25,plain,
( 'LE'(f(A),s(s('0')))
| 'E'(s(s('0')),f(A))
| ~ 'LE'(f(A),s(s(s('0')))) ),
inference(resolve,[status(thm)],[c_6,c_5]) ).
cnf(c_26,plain,
( 'LE'(f(g(A)),'0')
| 'E'('0',f(g(A)))
| ~ 'LE'(f(A),s('0')) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_27,plain,
( 'LE'(f(A),'0')
| 'E'('0',f(A))
| ~ 'LE'(f(A),s('0')) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause_24_31,axiom,
! [VAR_0] : ~ 'E'(f(VAR_0),f(g(VAR_0))),
file('theBenchmark.p',clause_24_31) ).
cnf(c_28,plain,
~ 'E'(f(A),f(g(A))),
inference(clausify,[status(thm)],[clause_24_31]) ).
fof(clause_12_30,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'(s(s(s(s('0')))),f(g(VAR_0)))
| ~ 'E'(s(s(s(s('0')))),f(VAR_0)) ),
file('theBenchmark.p',clause_12_30) ).
cnf(c_29,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'(s(s(s(s('0')))),f(g(A)))
| ~ 'E'(s(s(s(s('0')))),f(A)) ),
inference(clausify,[status(thm)],[clause_12_30]) ).
cnf(c_30,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(A)))
| ~ 'E'(s(s(s(s('0')))),f(A)) ),
inference(resolve,[status(thm)],[c_28,c_29]) ).
fof(clause_29_24,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'('0',f(g(VAR_0)))
| ~ 'E'('0',f(VAR_0)) ),
file('theBenchmark.p',clause_29_24) ).
cnf(c_31,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'('0',f(g(A)))
| ~ 'E'('0',f(A)) ),
inference(clausify,[status(thm)],[clause_29_24]) ).
cnf(c_32,plain,
( ~ 'E'('0',f(g(A)))
| ~ 'E'('0',f(A)) ),
inference(resolve,[status(thm)],[c_28,c_31]) ).
fof(clause_30_13,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'(s('0'),f(g(VAR_0)))
| ~ 'E'(s('0'),f(VAR_0)) ),
file('theBenchmark.p',clause_30_13) ).
cnf(c_34,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'(s('0'),f(g(A)))
| ~ 'E'(s('0'),f(A)) ),
inference(clausify,[status(thm)],[clause_30_13]) ).
cnf(c_35,plain,
( ~ 'E'(s('0'),f(g(A)))
| ~ 'E'(s('0'),f(A)) ),
inference(resolve,[status(thm)],[c_28,c_34]) ).
fof(clause_27_12,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'(s(s('0')),f(g(VAR_0)))
| ~ 'E'(s(s('0')),f(VAR_0)) ),
file('theBenchmark.p',clause_27_12) ).
cnf(c_36,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'(s(s('0')),f(g(A)))
| ~ 'E'(s(s('0')),f(A)) ),
inference(clausify,[status(thm)],[clause_27_12]) ).
cnf(c_37,plain,
( ~ 'E'(s(s('0')),f(g(A)))
| ~ 'E'(s(s('0')),f(A)) ),
inference(resolve,[status(thm)],[c_28,c_36]) ).
fof(clause_21_11,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'(s(s(s('0'))),f(g(VAR_0)))
| ~ 'E'(s(s(s('0'))),f(VAR_0)) ),
file('theBenchmark.p',clause_21_11) ).
cnf(c_38,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'(s(s(s('0'))),f(g(A)))
| ~ 'E'(s(s(s('0'))),f(A)) ),
inference(clausify,[status(thm)],[clause_21_11]) ).
cnf(c_39,plain,
( ~ 'E'(s(s(s('0'))),f(g(A)))
| ~ 'E'(s(s(s('0'))),f(A)) ),
inference(resolve,[status(thm)],[c_28,c_38]) ).
fof(clause_3_10,axiom,
! [VAR_0] :
( 'E'(f(VAR_0),f(g(VAR_0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(VAR_0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(VAR_0)) ),
file('theBenchmark.p',clause_3_10) ).
cnf(c_40,plain,
( 'E'(f(A),f(g(A)))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(A)))
| ~ 'E'(s(s(s(s(s('0'))))),f(A)) ),
inference(clausify,[status(thm)],[clause_3_10]) ).
cnf(c_41,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(A)))
| ~ 'E'(s(s(s(s(s('0'))))),f(A)) ),
inference(resolve,[status(thm)],[c_28,c_40]) ).
fof(clause_6_07,axiom,
! [VAR_0] : ~ 'LE'(f(VAR_0),'0'),
file('theBenchmark.p',clause_6_07) ).
cnf(c_42,plain,
~ 'LE'(f(A),'0'),
inference(clausify,[status(thm)],[clause_6_07]) ).
fof(clause_8_01,axiom,
! [VAR_0] :
( 'LE'(f(VAR_0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(VAR_0)) ),
file('theBenchmark.p',clause_8_01) ).
cnf(c_43,plain,
( 'LE'(f(A),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s(s('0'))))),f(A)) ),
inference(clausify,[status(thm)],[clause_8_01]) ).
cnf(c_44,plain,
( 'E'('0',f(g(A)))
| ~ 'LE'(f(A),s('0')) ),
inference(resolve,[status(thm)],[c_42,c_26]) ).
cnf(c_45,plain,
( 'E'('0',f(A))
| ~ 'LE'(f(A),s('0')) ),
inference(resolve,[status(thm)],[c_42,c_27]) ).
cnf(c_47,plain,
( 'LE'(f(A),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(A))
| 'E'(s(s(s(s(s('0'))))),f(A)) ),
inference(resolve,[status(thm)],[c_43,c_23]) ).
cnf(c_48,plain,
( 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A)))
| 'E'(s(s(s(s(s('0'))))),f(A)) ),
inference(resolve,[status(thm)],[c_43,c_22]) ).
cnf(c_51,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(A))
| 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(resolve,[status(thm)],[c_47,c_41]) ).
cnf(c_199,plain,
( 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A)))
| 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(resolve,[status(thm)],[c_51,c_48]) ).
cnf(c_200,plain,
( 'LE'(f(g(A)),s(s(s(s('0')))))
| 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(copy,[status(thm)],[c_199]) ).
cnf(c_63,plain,
( 'LE'(f(g(A)),s(s(s(s('0')))))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(copy,[status(thm)],[c_200]) ).
cnf(c_66,plain,
( 'LE'(f(g(A)),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(A)))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(resolve,[status(thm)],[c_63,c_21]) ).
cnf(c_67,plain,
( 'LE'(f(g(g(A))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(A))))
| 'E'(s(s(s(s('0')))),f(g(A))) ),
inference(resolve,[status(thm)],[c_63,c_20]) ).
cnf(c_73,plain,
( ~ 'E'(s(s(s(s('0')))),f(A))
| 'LE'(f(g(A)),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(A))) ),
inference(resolve,[status(thm)],[c_66,c_30]) ).
cnf(c_201,plain,
( 'LE'(f(g(g(A))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(A))))
| 'LE'(f(g(g(A))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(A)))) ),
inference(resolve,[status(thm)],[c_67,c_73]) ).
cnf(c_202,plain,
( 'LE'(f(g(g(A))),s(s(s('0'))))
| 'LE'(f(g(g(A))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(A)))) ),
inference(copy,[status(thm)],[c_201]) ).
cnf(c_75,plain,
( 'LE'(f(g(g(A))),s(s(s('0'))))
| 'E'(s(s(s('0'))),f(g(g(A)))) ),
inference(copy,[status(thm)],[c_202]) ).
cnf(c_80,plain,
( 'LE'(f(g(g(A))),s(s('0')))
| 'E'(s(s('0')),f(g(g(A))))
| 'E'(s(s(s('0'))),f(g(g(A)))) ),
inference(resolve,[status(thm)],[c_75,c_25]) ).
cnf(c_81,plain,
( 'LE'(f(g(g(g(A)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(A)))))
| 'E'(s(s(s('0'))),f(g(g(A)))) ),
inference(resolve,[status(thm)],[c_75,c_24]) ).
cnf(c_89,plain,
( ~ 'E'(s(s(s('0'))),f(g(A)))
| 'LE'(f(g(g(A))),s(s('0')))
| 'E'(s(s('0')),f(g(g(A)))) ),
inference(resolve,[status(thm)],[c_80,c_39]) ).
cnf(c_203,plain,
( 'LE'(f(g(g(g(A)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(A)))))
| 'LE'(f(g(g(g(A)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(A))))) ),
inference(resolve,[status(thm)],[c_89,c_81]) ).
cnf(c_204,plain,
( 'LE'(f(g(g(g(A)))),s(s('0')))
| 'LE'(f(g(g(g(A)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(A))))) ),
inference(copy,[status(thm)],[c_203]) ).
cnf(c_94,plain,
( 'LE'(f(g(g(g(A)))),s(s('0')))
| 'E'(s(s('0')),f(g(g(g(A))))) ),
inference(copy,[status(thm)],[c_204]) ).
cnf(c_96,plain,
( 'LE'(f(g(g(g(A)))),s('0'))
| 'E'(s('0'),f(g(g(g(A)))))
| 'E'(s(s('0')),f(g(g(g(A))))) ),
inference(resolve,[status(thm)],[c_94,c_19]) ).
cnf(c_97,plain,
( 'LE'(f(g(g(g(g(A))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(A))))))
| 'E'(s(s('0')),f(g(g(g(A))))) ),
inference(resolve,[status(thm)],[c_94,c_18]) ).
cnf(c_106,plain,
( ~ 'E'(s(s('0')),f(g(g(A))))
| 'LE'(f(g(g(g(A)))),s('0'))
| 'E'(s('0'),f(g(g(g(A))))) ),
inference(resolve,[status(thm)],[c_96,c_37]) ).
cnf(c_205,plain,
( 'LE'(f(g(g(g(g(A))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(A))))))
| 'LE'(f(g(g(g(g(A))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(A)))))) ),
inference(resolve,[status(thm)],[c_97,c_106]) ).
cnf(c_206,plain,
( 'LE'(f(g(g(g(g(A))))),s('0'))
| 'LE'(f(g(g(g(g(A))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(A)))))) ),
inference(copy,[status(thm)],[c_205]) ).
cnf(c_116,plain,
( 'LE'(f(g(g(g(g(A))))),s('0'))
| 'E'(s('0'),f(g(g(g(g(A)))))) ),
inference(copy,[status(thm)],[c_206]) ).
cnf(c_126,plain,
( 'E'('0',f(g(g(g(g(A))))))
| 'E'(s('0'),f(g(g(g(g(A)))))) ),
inference(resolve,[status(thm)],[c_116,c_45]) ).
cnf(c_127,plain,
( 'E'('0',f(g(g(g(g(g(A)))))))
| 'E'(s('0'),f(g(g(g(g(A)))))) ),
inference(resolve,[status(thm)],[c_116,c_44]) ).
cnf(c_134,plain,
( ~ 'E'(s('0'),f(g(g(g(A)))))
| 'E'('0',f(g(g(g(g(A)))))) ),
inference(resolve,[status(thm)],[c_126,c_35]) ).
cnf(c_207,plain,
( 'E'('0',f(g(g(g(g(g(A)))))))
| 'E'('0',f(g(g(g(g(g(A))))))) ),
inference(resolve,[status(thm)],[c_127,c_134]) ).
cnf(c_191,plain,
'E'('0',f(g(g(g(g(g(A))))))),
inference(copy,[status(thm)],[c_207]) ).
cnf(c_197,plain,
~ 'E'('0',f(g(g(g(g(A)))))),
inference(resolve,[status(thm)],[c_191,c_32]) ).
cnf(c_198,plain,
$false,
inference(resolve,[status(thm)],[c_197,c_191]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYO630-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n017.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Sat Sep 26 19:35:57 UTC 2026
% 0.16/5.43 % CPUTime :
% 0.16/5.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/5.43 % Process 1500420 was started by sandbox2 on n017,
% 0.16/5.43 % Sat Sep 26 19:35:57 2026
% 0.16/5.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/5.44
% 0.16/5.44 % From the command line: assign(max_seconds, 300).
% 0.21/5.52
% 0.21/5.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/5.52
% 0.21/5.52 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.21/5.52 % Length of proof is 59.
% 0.21/5.52 % Level of proof is 18.
% 0.21/5.52 % Maximum clause weight is 27.000.
% 0.21/5.52 % Given clauses 87.
% 0.21/5.52
% 0.21/5.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
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