%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 06:49:20 AM UTC 2026
% Result : Theorem 0.82s 0.67s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 4
% Syntax : Number of formulae : 84 ( 33 unt; 0 def)
% Number of atoms : 400 ( 399 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 329 ( 13 ~; 187 |; 127 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax2,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('theBenchmark.p',ax2) ).
fof(ax4,axiom,
( op1(e13,e13) = e10
& op1(e13,e12) = e11
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e13
& op1(e12,e10) = e12
& op1(e11,e13) = e12
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
( op2(e23,e23) = e20
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e23) = e22
& op2(e21,e22) = e20
& op2(e21,e21) = e23
& op2(e21,e20) = e21
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('theBenchmark.p',ax5) ).
fof(co1,conjecture,
( ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('theBenchmark.p',co1) ).
fof(co1_neg,negated_conjecture,
~ ( ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
cnf(c_13,plain,
e21 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_15,plain,
e23 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_17,plain,
e23 != e21,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_18,plain,
e23 != e22,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_35,plain,
op1(e10,e10) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_40,plain,
op1(e11,e11) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_45,plain,
op1(e12,e12) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_50,plain,
op1(e13,e13) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_56,plain,
op2(e21,e21) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_61,plain,
op2(e22,e22) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_66,plain,
op2(e23,e23) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_67,negated_conjecture,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_72,negated_conjecture,
( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_75,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_788,negated_conjecture,
h(e10) = op2(h(e10),h(e10)),
inference(paramod,[status(thm)],[c_35,c_75]) ).
cnf(c_76,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(copy,[status(thm)],[c_788]) ).
cnf(c_85,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_789,negated_conjecture,
h(e10) = op2(h(e11),h(e11)),
inference(paramod,[status(thm)],[c_40,c_85]) ).
cnf(c_86,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(copy,[status(thm)],[c_789]) ).
cnf(c_95,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_790,negated_conjecture,
h(e10) = op2(h(e12),h(e12)),
inference(paramod,[status(thm)],[c_45,c_95]) ).
cnf(c_96,negated_conjecture,
op2(h(e12),h(e12)) = h(e10),
inference(copy,[status(thm)],[c_790]) ).
cnf(c_117,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_118,negated_conjecture,
j(e23) = op1(j(e21),j(e21)),
inference(paramod,[status(thm)],[c_56,c_117]) ).
cnf(c_140,negated_conjecture,
h(j(e21)) = e21,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_143,negated_conjecture,
h(j(e23)) = e23,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_144,negated_conjecture,
h(op1(j(e21),j(e21))) = e23,
inference(paramod,[status(thm)],[c_118,c_143]) ).
cnf(c_157,plain,
( op2(e23,h(e10)) = h(e10)
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_67,c_76]) ).
cnf(c_244,plain,
( h(op1(e13,j(e21))) = e23
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_72,c_144]) ).
cnf(c_791,plain,
( op2(e23,e23) = h(e10)
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_67,c_157]) ).
cnf(c_792,plain,
( e20 = h(e10)
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_66,c_791]) ).
cnf(c_793,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_792]) ).
cnf(c_794,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_793]) ).
cnf(c_795,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_794]) ).
cnf(c_796,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_795]) ).
cnf(c_309,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_796]) ).
cnf(c_310,plain,
( op2(e22,h(e10)) = h(e10)
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_309,c_76]) ).
cnf(c_797,plain,
( op2(e22,e22) = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_309,c_310]) ).
cnf(c_798,plain,
( e23 = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_61,c_797]) ).
cnf(c_799,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_798]) ).
cnf(c_800,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_799]) ).
cnf(c_319,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_800]) ).
cnf(c_801,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_319,c_309]) ).
cnf(c_802,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_801]) ).
cnf(c_803,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_802]) ).
cnf(c_330,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(resolve,[status(thm)],[c_18,c_803]) ).
cnf(c_331,plain,
( op2(e21,h(e10)) = h(e10)
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_330,c_76]) ).
cnf(c_804,plain,
( op2(e21,e21) = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_330,c_331]) ).
cnf(c_805,plain,
( e23 = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_56,c_804]) ).
cnf(c_806,plain,
( h(e10) = e23
| h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_805]) ).
cnf(c_419,plain,
( h(e10) = e23
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_806]) ).
cnf(c_807,plain,
( e23 = e21
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_419,c_330]) ).
cnf(c_808,plain,
( e23 = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_807]) ).
cnf(c_430,plain,
h(e10) = e20,
inference(resolve,[status(thm)],[c_17,c_808]) ).
cnf(c_449,negated_conjecture,
op2(h(e12),h(e12)) = e20,
inference(paramod,[status(thm)],[c_430,c_96]) ).
cnf(c_451,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(paramod,[status(thm)],[c_430,c_86]) ).
cnf(c_809,plain,
( h(op1(e13,e13)) = e23
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_72,c_244]) ).
cnf(c_810,plain,
( h(e10) = e23
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_50,c_809]) ).
cnf(c_811,plain,
( e20 = e23
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_430,c_810]) ).
cnf(c_812,plain,
( e23 = e20
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(copy,[status(thm)],[c_811]) ).
cnf(c_813,plain,
( e23 = e20
| j(e21) = e12
| j(e21) = e11
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(copy,[status(thm)],[c_812]) ).
cnf(c_814,plain,
( e23 = e20
| j(e21) = e12
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(copy,[status(thm)],[c_813]) ).
cnf(c_815,plain,
( e23 = e20
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(copy,[status(thm)],[c_814]) ).
cnf(c_587,plain,
( j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(resolve,[status(thm)],[c_15,c_815]) ).
cnf(c_612,plain,
( h(e12) = e21
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_587,c_140]) ).
cnf(c_678,plain,
( h(e11) = e21
| h(e12) = e21
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_612,c_140]) ).
cnf(c_816,plain,
( h(e10) = e21
| h(e11) = e21
| h(e12) = e21 ),
inference(paramod,[status(thm)],[c_678,c_140]) ).
cnf(c_817,plain,
( e20 = e21
| h(e11) = e21
| h(e12) = e21 ),
inference(paramod,[status(thm)],[c_430,c_816]) ).
cnf(c_818,plain,
( e21 = e20
| h(e11) = e21
| h(e12) = e21 ),
inference(copy,[status(thm)],[c_817]) ).
cnf(c_707,plain,
( h(e11) = e21
| h(e12) = e21 ),
inference(resolve,[status(thm)],[c_13,c_818]) ).
cnf(c_721,plain,
( op2(e21,h(e12)) = e20
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_707,c_449]) ).
cnf(c_819,plain,
( op2(e21,e21) = e20
| h(e11) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_707,c_721]) ).
cnf(c_820,plain,
( e23 = e20
| h(e11) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_56,c_819]) ).
cnf(c_821,plain,
( e23 = e20
| h(e11) = e21 ),
inference(copy,[status(thm)],[c_820]) ).
cnf(c_785,plain,
h(e11) = e21,
inference(resolve,[status(thm)],[c_15,c_821]) ).
cnf(c_822,negated_conjecture,
op2(e21,h(e11)) = e20,
inference(paramod,[status(thm)],[c_785,c_451]) ).
cnf(c_823,negated_conjecture,
op2(e21,e21) = e20,
inference(paramod,[status(thm)],[c_785,c_822]) ).
cnf(c_824,negated_conjecture,
e23 = e20,
inference(paramod,[status(thm)],[c_56,c_823]) ).
cnf(c_787,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_15,c_824]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n018.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Sat Sep 26 21:03:52 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.42 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42 % Process 1402616 was started by sandbox2 on n018,
% 0.16/0.42 % Sat Sep 26 21:03:52 2026
% 0.16/0.42 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.42
% 0.16/0.42 % From the command line: assign(max_seconds, 300).
% 0.82/0.67
% 0.82/0.67 % SZS status Theorem for theBenchmark
% 0.82/0.67
% 0.82/0.67 % Proof 1 at 0.18 (+ 0.05) seconds.
% 0.82/0.67 % Length of proof is 46.
% 0.82/0.67 % Level of proof is 17.
% 0.82/0.67 % Maximum clause weight is 19.000.
% 0.82/0.67 % Given clauses 155.
% 0.82/0.67
% 0.82/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------