%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG020+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 : 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 06:49:08 AM UTC 2026
% Result : Theorem 0.13s 5.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 4
% Syntax : Number of formulae : 94 ( 37 unt; 0 def)
% Number of atoms : 418 ( 417 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 337 ( 13 ~; 195 |; 127 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 4 avg)
% Maximal term depth : 3 ( 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_14,plain,
e22 != 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_47,plain,
op1(e13,e10) = e13,
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_59,plain,
op2(e22,e20) = e22,
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_73,negated_conjecture,
( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = 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_724,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_724]) ).
cnf(c_85,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_725,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_725]) ).
cnf(c_95,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_726,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_726]) ).
cnf(c_99,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_727,negated_conjecture,
h(e13) = op2(h(e13),h(e10)),
inference(paramod,[status(thm)],[c_47,c_99]) ).
cnf(c_100,negated_conjecture,
op2(h(e13),h(e10)) = h(e13),
inference(copy,[status(thm)],[c_727]) ).
cnf(c_105,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_728,negated_conjecture,
h(e10) = op2(h(e13),h(e13)),
inference(paramod,[status(thm)],[c_50,c_105]) ).
cnf(c_106,negated_conjecture,
op2(h(e13),h(e13)) = h(e10),
inference(copy,[status(thm)],[c_728]) ).
cnf(c_141,negated_conjecture,
h(j(e22)) = e22,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_147,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_213,plain,
( h(e13) = e22
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_73,c_141]) ).
cnf(c_729,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_147]) ).
cnf(c_730,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_729]) ).
cnf(c_731,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_730]) ).
cnf(c_732,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_731]) ).
cnf(c_733,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_732]) ).
cnf(c_734,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_733]) ).
cnf(c_219,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_734]) ).
cnf(c_220,plain,
( op2(e22,h(e10)) = h(e10)
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_219,c_76]) ).
cnf(c_263,plain,
( h(e12) = e22
| h(e13) = e22
| j(e22) = e11
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_213,c_141]) ).
cnf(c_328,plain,
( h(e11) = e22
| h(e12) = e22
| h(e13) = e22
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_263,c_141]) ).
cnf(c_366,plain,
( h(e10) = e22
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(paramod,[status(thm)],[c_328,c_141]) ).
cnf(c_400,plain,
( op2(e22,h(e10)) = h(e13)
| h(e10) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_366,c_100]) ).
cnf(c_404,plain,
( op2(h(e13),e22) = h(e10)
| h(e10) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_366,c_106]) ).
cnf(c_735,plain,
( op2(e22,e22) = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_219,c_220]) ).
cnf(c_736,plain,
( e23 = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_61,c_735]) ).
cnf(c_737,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_736]) ).
cnf(c_738,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_737]) ).
cnf(c_453,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_738]) ).
cnf(c_739,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_453,c_219]) ).
cnf(c_740,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_739]) ).
cnf(c_741,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_740]) ).
cnf(c_464,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(resolve,[status(thm)],[c_18,c_741]) ).
cnf(c_465,plain,
( op2(e21,h(e10)) = h(e10)
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_464,c_76]) ).
cnf(c_742,plain,
( op2(e21,e21) = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_464,c_465]) ).
cnf(c_743,plain,
( e23 = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_56,c_742]) ).
cnf(c_744,plain,
( h(e10) = e23
| h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_743]) ).
cnf(c_485,plain,
( h(e10) = e23
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_744]) ).
cnf(c_745,plain,
( e23 = e21
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_485,c_464]) ).
cnf(c_746,plain,
( e23 = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_745]) ).
cnf(c_496,plain,
h(e10) = e20,
inference(resolve,[status(thm)],[c_17,c_746]) ).
cnf(c_747,plain,
( op2(h(e13),e22) = h(e10)
| e20 = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_496,c_404]) ).
cnf(c_748,plain,
( op2(h(e13),e22) = e20
| e20 = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_496,c_747]) ).
cnf(c_749,plain,
( op2(h(e13),e22) = e20
| e22 = e20
| h(e11) = e22
| h(e12) = e22 ),
inference(copy,[status(thm)],[c_748]) ).
cnf(c_533,plain,
( op2(h(e13),e22) = e20
| h(e11) = e22
| h(e12) = e22 ),
inference(resolve,[status(thm)],[c_14,c_749]) ).
cnf(c_750,plain,
( op2(e22,h(e10)) = h(e13)
| e20 = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_496,c_400]) ).
cnf(c_751,plain,
( op2(e22,e20) = h(e13)
| e20 = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_496,c_750]) ).
cnf(c_752,plain,
( e22 = h(e13)
| e20 = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_59,c_751]) ).
cnf(c_753,plain,
( e22 = h(e13)
| e22 = e20
| h(e11) = e22
| h(e12) = e22 ),
inference(copy,[status(thm)],[c_752]) ).
cnf(c_754,plain,
( h(e13) = e22
| e22 = e20
| h(e11) = e22
| h(e12) = e22 ),
inference(copy,[status(thm)],[c_753]) ).
cnf(c_537,plain,
( h(e13) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(resolve,[status(thm)],[c_14,c_754]) ).
cnf(c_557,negated_conjecture,
op2(h(e12),h(e12)) = e20,
inference(paramod,[status(thm)],[c_496,c_96]) ).
cnf(c_559,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(paramod,[status(thm)],[c_496,c_86]) ).
cnf(c_755,plain,
( op2(e22,e22) = e20
| h(e11) = e22
| h(e12) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_537,c_533]) ).
cnf(c_756,plain,
( e23 = e20
| h(e11) = e22
| h(e12) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(paramod,[status(thm)],[c_61,c_755]) ).
cnf(c_757,plain,
( e23 = e20
| h(e11) = e22
| h(e11) = e22
| h(e12) = e22 ),
inference(copy,[status(thm)],[c_756]) ).
cnf(c_758,plain,
( e23 = e20
| h(e11) = e22
| h(e12) = e22 ),
inference(copy,[status(thm)],[c_757]) ).
cnf(c_691,plain,
( h(e11) = e22
| h(e12) = e22 ),
inference(resolve,[status(thm)],[c_15,c_758]) ).
cnf(c_697,plain,
( op2(e22,h(e12)) = e20
| h(e11) = e22 ),
inference(paramod,[status(thm)],[c_691,c_557]) ).
cnf(c_759,plain,
( op2(e22,e22) = e20
| h(e11) = e22
| h(e11) = e22 ),
inference(paramod,[status(thm)],[c_691,c_697]) ).
cnf(c_760,plain,
( e23 = e20
| h(e11) = e22
| h(e11) = e22 ),
inference(paramod,[status(thm)],[c_61,c_759]) ).
cnf(c_761,plain,
( e23 = e20
| h(e11) = e22 ),
inference(copy,[status(thm)],[c_760]) ).
cnf(c_706,plain,
h(e11) = e22,
inference(resolve,[status(thm)],[c_15,c_761]) ).
cnf(c_762,negated_conjecture,
op2(e22,h(e11)) = e20,
inference(paramod,[status(thm)],[c_706,c_559]) ).
cnf(c_763,negated_conjecture,
op2(e22,e22) = e20,
inference(paramod,[status(thm)],[c_706,c_762]) ).
cnf(c_764,negated_conjecture,
e23 = e20,
inference(paramod,[status(thm)],[c_61,c_763]) ).
cnf(c_723,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_15,c_764]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG020+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n026.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 21:02:03 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.38 % Process 1944428 was started by sandbox2 on n026,
% 0.10/5.38 % Sat Sep 26 21:02:03 2026
% 0.10/5.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/5.38
% 0.10/5.38 % From the command line: assign(max_seconds, 300).
% 0.13/5.46
% 0.13/5.46 % SZS status Theorem for theBenchmark
% 0.13/5.46
% 0.13/5.46 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.13/5.46 % Length of proof is 52.
% 0.13/5.46 % Level of proof is 15.
% 0.13/5.46 % Maximum clause weight is 34.000.
% 0.13/5.46 % Given clauses 195.
% 0.13/5.46
% 0.13/5.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------