%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG087+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 : n008.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 06:49:27 AM UTC 2026
% Result : Theorem 1.89s 0.66s
% Output : CNFRefutation 1.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 5
% Syntax : Number of formulae : 201 ( 68 unt; 0 def)
% Number of atoms : 956 ( 955 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 786 ( 31 ~; 551 |; 202 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('theBenchmark.p',ax1) ).
fof(ax2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('theBenchmark.p',ax2) ).
fof(ax4,axiom,
( op1(e14,e14) = e10
& op1(e14,e13) = e12
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e10
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e14) = e12
& op1(e11,e13) = e14
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('theBenchmark.p',ax4) ).
fof(ax5,axiom,
( op2(e24,e24) = e22
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e20
& op2(e23,e23) = e24
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e20
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e22
& op2(e21,e22) = e24
& op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('theBenchmark.p',ax5) ).
fof(co1,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& 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,e24)) = op1(j(e22),j(e24))
& 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,e24)) = op1(j(e21),j(e24))
& 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,e24)) = op1(j(e20),j(e24))
& 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(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& 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,e14)) = op2(h(e12),h(e14))
& 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,e14)) = op2(h(e11),h(e14))
& 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,e14)) = op2(h(e10),h(e14))
& 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(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& 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,e24)) = op1(j(e22),j(e24))
& 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,e24)) = op1(j(e21),j(e24))
& 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,e24)) = op1(j(e20),j(e24))
& 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(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& 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,e14)) = op2(h(e12),h(e14))
& 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,e14)) = op2(h(e11),h(e14))
& 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,e14)) = op2(h(e10),h(e14))
& 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_7,plain,
e11 != e10,
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_16,plain,
e14 != e13,
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_18,plain,
e22 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_19,plain,
e23 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_20,plain,
e24 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_23,plain,
e24 != e21,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_24,plain,
e23 != e22,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_26,plain,
e24 != e23,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_52,plain,
op1(e10,e10) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_57,plain,
op1(e11,e10) = e11,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_58,plain,
op1(e11,e11) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_59,plain,
op1(e11,e12) = e13,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_61,plain,
op1(e11,e14) = e12,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_63,plain,
op1(e12,e11) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_68,plain,
op1(e13,e11) = e12,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_72,plain,
op1(e14,e10) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_83,plain,
op2(e21,e21) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_85,plain,
op2(e21,e23) = e22,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_86,plain,
op2(e21,e24) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_89,plain,
op2(e22,e22) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_92,plain,
op2(e23,e20) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_93,plain,
op2(e23,e21) = e22,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_95,plain,
op2(e23,e23) = e24,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_97,plain,
op2(e24,e20) = e24,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_98,plain,
op2(e24,e21) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_101,plain,
op2(e24,e24) = e22,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_102,negated_conjecture,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_103,negated_conjecture,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_111,negated_conjecture,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_112,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1407,negated_conjecture,
h(e10) = op2(h(e10),h(e10)),
inference(paramod,[status(thm)],[c_52,c_112]) ).
cnf(c_113,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(copy,[status(thm)],[c_1407]) ).
cnf(c_122,negated_conjecture,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1408,negated_conjecture,
h(e11) = op2(h(e11),h(e10)),
inference(paramod,[status(thm)],[c_57,c_122]) ).
cnf(c_123,negated_conjecture,
op2(h(e11),h(e10)) = h(e11),
inference(copy,[status(thm)],[c_1408]) ).
cnf(c_124,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1409,negated_conjecture,
h(e10) = op2(h(e11),h(e11)),
inference(paramod,[status(thm)],[c_58,c_124]) ).
cnf(c_125,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(copy,[status(thm)],[c_1409]) ).
cnf(c_130,negated_conjecture,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1410,negated_conjecture,
h(e12) = op2(h(e11),h(e14)),
inference(paramod,[status(thm)],[c_61,c_130]) ).
cnf(c_131,negated_conjecture,
op2(h(e11),h(e14)) = h(e12),
inference(copy,[status(thm)],[c_1410]) ).
cnf(c_144,negated_conjecture,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1411,negated_conjecture,
h(e12) = op2(h(e13),h(e11)),
inference(paramod,[status(thm)],[c_68,c_144]) ).
cnf(c_145,negated_conjecture,
op2(h(e13),h(e11)) = h(e12),
inference(copy,[status(thm)],[c_1411]) ).
cnf(c_152,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1412,negated_conjecture,
h(e14) = op2(h(e14),h(e10)),
inference(paramod,[status(thm)],[c_72,c_152]) ).
cnf(c_153,negated_conjecture,
op2(h(e14),h(e10)) = h(e14),
inference(copy,[status(thm)],[c_1412]) ).
cnf(c_178,negated_conjecture,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1413,negated_conjecture,
j(e22) = op1(j(e21),j(e23)),
inference(paramod,[status(thm)],[c_85,c_178]) ).
cnf(c_179,negated_conjecture,
op1(j(e21),j(e23)) = j(e22),
inference(copy,[status(thm)],[c_1413]) ).
cnf(c_180,negated_conjecture,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1414,negated_conjecture,
j(e23) = op1(j(e21),j(e24)),
inference(paramod,[status(thm)],[c_86,c_180]) ).
cnf(c_181,negated_conjecture,
op1(j(e21),j(e24)) = j(e23),
inference(copy,[status(thm)],[c_1414]) ).
cnf(c_194,negated_conjecture,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1415,negated_conjecture,
j(e22) = op1(j(e23),j(e21)),
inference(paramod,[status(thm)],[c_93,c_194]) ).
cnf(c_195,negated_conjecture,
op1(j(e23),j(e21)) = j(e22),
inference(copy,[status(thm)],[c_1415]) ).
cnf(c_204,negated_conjecture,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1416,negated_conjecture,
j(e23) = op1(j(e24),j(e21)),
inference(paramod,[status(thm)],[c_98,c_204]) ).
cnf(c_205,negated_conjecture,
op1(j(e24),j(e21)) = j(e23),
inference(copy,[status(thm)],[c_1416]) ).
cnf(c_216,negated_conjecture,
h(j(e24)) = e24,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_217,negated_conjecture,
j(h(e10)) = e10,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_218,negated_conjecture,
j(h(e11)) = e11,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_219,negated_conjecture,
j(h(e12)) = e12,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_222,plain,
( op2(e24,h(e10)) = h(e10)
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_102,c_113]) ).
cnf(c_234,plain,
( op2(e24,h(e11)) = h(e10)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_103,c_125]) ).
cnf(c_326,plain,
( h(e14) = e24
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(paramod,[status(thm)],[c_111,c_216]) ).
cnf(c_1417,plain,
( op2(e24,e24) = h(e10)
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_102,c_222]) ).
cnf(c_1418,plain,
( e22 = h(e10)
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_101,c_1417]) ).
cnf(c_1419,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1418]) ).
cnf(c_1420,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1419]) ).
cnf(c_1421,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1420]) ).
cnf(c_1422,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1421]) ).
cnf(c_1423,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1422]) ).
cnf(c_332,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1423]) ).
cnf(c_333,plain,
( op2(e23,h(e10)) = h(e10)
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_332,c_113]) ).
cnf(c_410,plain,
( h(e13) = e24
| h(e14) = e24
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(paramod,[status(thm)],[c_326,c_216]) ).
cnf(c_513,plain,
( h(e12) = e24
| h(e13) = e24
| h(e14) = e24
| j(e24) = e11
| j(e24) = e10 ),
inference(paramod,[status(thm)],[c_410,c_216]) ).
cnf(c_570,plain,
( h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e14) = e24
| j(e24) = e10 ),
inference(paramod,[status(thm)],[c_513,c_216]) ).
cnf(c_627,plain,
( h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e14) = e24 ),
inference(paramod,[status(thm)],[c_570,c_216]) ).
cnf(c_683,plain,
( op2(e24,h(e10)) = h(e14)
| h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_627,c_153]) ).
cnf(c_1424,plain,
( op2(e24,e24) = h(e10)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_103,c_234]) ).
cnf(c_1425,plain,
( e22 = h(e10)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_101,c_1424]) ).
cnf(c_1426,plain,
( h(e10) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1425]) ).
cnf(c_1427,plain,
( h(e10) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1426]) ).
cnf(c_1428,plain,
( h(e10) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1427]) ).
cnf(c_1429,plain,
( h(e10) = e22
| h(e11) = e23
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1428]) ).
cnf(c_744,plain,
( h(e10) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1429]) ).
cnf(c_746,plain,
( op2(e23,h(e10)) = h(e11)
| h(e10) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_744,c_123]) ).
cnf(c_748,plain,
( op2(h(e11),e23) = h(e10)
| h(e10) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_744,c_125]) ).
cnf(c_1430,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_332,c_333]) ).
cnf(c_1431,plain,
( e24 = 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_95,c_1430]) ).
cnf(c_1432,plain,
( h(e10) = e24
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1431]) ).
cnf(c_1433,plain,
( h(e10) = e24
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1432]) ).
cnf(c_1434,plain,
( h(e10) = e24
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1433]) ).
cnf(c_767,plain,
( h(e10) = e24
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1434]) ).
cnf(c_1435,plain,
( e24 = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_767,c_332]) ).
cnf(c_1436,plain,
( e24 = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1435]) ).
cnf(c_1437,plain,
( e24 = e23
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1436]) ).
cnf(c_1438,plain,
( e24 = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1437]) ).
cnf(c_780,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(resolve,[status(thm)],[c_26,c_1438]) ).
cnf(c_781,plain,
( op2(e22,h(e10)) = h(e10)
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_780,c_113]) ).
cnf(c_1439,plain,
( op2(e22,e22) = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_780,c_781]) ).
cnf(c_1440,plain,
( e23 = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_89,c_1439]) ).
cnf(c_1441,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1440]) ).
cnf(c_1442,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1441]) ).
cnf(c_806,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1442]) ).
cnf(c_1443,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_806,c_780]) ).
cnf(c_1444,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1443]) ).
cnf(c_1445,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1444]) ).
cnf(c_819,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(resolve,[status(thm)],[c_24,c_1445]) ).
cnf(c_820,plain,
( op2(e21,h(e10)) = h(e10)
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_819,c_113]) ).
cnf(c_1446,plain,
( op2(e21,e21) = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_819,c_820]) ).
cnf(c_1447,plain,
( e20 = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_83,c_1446]) ).
cnf(c_1448,plain,
( h(e10) = e20
| h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1447]) ).
cnf(c_1449,plain,
( h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1448]) ).
cnf(c_845,plain,
h(e10) = e20,
inference(copy,[status(thm)],[c_1449]) ).
cnf(c_1450,plain,
( op2(h(e11),e23) = h(e10)
| e20 = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_845,c_748]) ).
cnf(c_1451,plain,
( op2(h(e11),e23) = e20
| e20 = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_845,c_1450]) ).
cnf(c_1452,plain,
( op2(h(e11),e23) = e20
| e22 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1451]) ).
cnf(c_863,plain,
( op2(h(e11),e23) = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_18,c_1452]) ).
cnf(c_1453,plain,
( op2(e23,h(e10)) = h(e11)
| e20 = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_845,c_746]) ).
cnf(c_1454,plain,
( op2(e23,e20) = h(e11)
| e20 = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_845,c_1453]) ).
cnf(c_1455,plain,
( e23 = h(e11)
| e20 = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_92,c_1454]) ).
cnf(c_1456,plain,
( e23 = h(e11)
| e22 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1455]) ).
cnf(c_1457,plain,
( h(e11) = e23
| e22 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1456]) ).
cnf(c_865,plain,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_18,c_1457]) ).
cnf(c_1458,plain,
( op2(e24,h(e10)) = h(e14)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_845,c_683]) ).
cnf(c_1459,plain,
( op2(e24,e20) = h(e14)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_845,c_1458]) ).
cnf(c_1460,plain,
( e24 = h(e14)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_97,c_1459]) ).
cnf(c_1461,plain,
( e24 = h(e14)
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1460]) ).
cnf(c_1462,plain,
( h(e14) = e24
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1461]) ).
cnf(c_915,plain,
( h(e14) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1462]) ).
cnf(c_958,negated_conjecture,
j(e20) = e10,
inference(paramod,[status(thm)],[c_845,c_217]) ).
cnf(c_965,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(paramod,[status(thm)],[c_845,c_125]) ).
cnf(c_1463,plain,
( op2(e23,e23) = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_865,c_863]) ).
cnf(c_1464,plain,
( e24 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_95,c_1463]) ).
cnf(c_1465,plain,
( e24 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1464]) ).
cnf(c_1466,plain,
( e24 = e20
| h(e11) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1465]) ).
cnf(c_1467,plain,
( e24 = e20
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1466]) ).
cnf(c_1043,plain,
( h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_20,c_1467]) ).
cnf(c_1056,plain,
( op2(e22,h(e11)) = e20
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1043,c_965]) ).
cnf(c_1468,plain,
( op2(e22,e22) = e20
| h(e11) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1043,c_1056]) ).
cnf(c_1469,plain,
( e23 = e20
| h(e11) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_89,c_1468]) ).
cnf(c_1470,plain,
( e23 = e20
| h(e11) = e21
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1469]) ).
cnf(c_1471,plain,
( e23 = e20
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1470]) ).
cnf(c_1070,plain,
( h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_19,c_1471]) ).
cnf(c_1073,plain,
( op2(e21,h(e14)) = h(e12)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1070,c_131]) ).
cnf(c_1075,plain,
( op2(h(e13),e21) = h(e12)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1070,c_145]) ).
cnf(c_1077,plain,
( j(e21) = e11
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1070,c_218]) ).
cnf(c_1087,plain,
( op1(e11,j(e23)) = j(e22)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1077,c_179]) ).
cnf(c_1088,plain,
( op1(e11,j(e24)) = j(e23)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1077,c_181]) ).
cnf(c_1090,plain,
( op1(j(e23),e11) = j(e22)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1077,c_195]) ).
cnf(c_1091,plain,
( op1(j(e24),e11) = j(e23)
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1077,c_205]) ).
cnf(c_1472,plain,
( op2(e21,e24) = h(e12)
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_915,c_1073]) ).
cnf(c_1473,plain,
( e23 = h(e12)
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_86,c_1472]) ).
cnf(c_1100,plain,
( h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1473]) ).
cnf(c_1474,plain,
( op2(e24,e21) = h(e12)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1100,c_1075]) ).
cnf(c_1475,plain,
( e23 = h(e12)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_98,c_1474]) ).
cnf(c_1476,plain,
( h(e12) = e23
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1475]) ).
cnf(c_1477,plain,
( h(e12) = e23
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1476]) ).
cnf(c_1197,plain,
( h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1477]) ).
cnf(c_1204,plain,
( j(e24) = e12
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1197,c_219]) ).
cnf(c_1478,plain,
( op1(e11,e12) = j(e23)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1204,c_1088]) ).
cnf(c_1479,plain,
( e13 = j(e23)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_59,c_1478]) ).
cnf(c_1480,plain,
( j(e23) = e13
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1479]) ).
cnf(c_1220,plain,
( j(e23) = e13
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1480]) ).
cnf(c_1481,plain,
( op1(e12,e11) = j(e23)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1204,c_1091]) ).
cnf(c_1482,plain,
( e14 = j(e23)
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_63,c_1481]) ).
cnf(c_1483,plain,
( j(e23) = e14
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1482]) ).
cnf(c_1222,plain,
( j(e23) = e14
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1483]) ).
cnf(c_1484,plain,
( e14 = e13
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1222,c_1220]) ).
cnf(c_1485,plain,
( e14 = e13
| h(e12) = e23
| h(e11) = e20
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1484]) ).
cnf(c_1486,plain,
( e14 = e13
| h(e12) = e23
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1485]) ).
cnf(c_1487,plain,
( e14 = e13
| h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1486]) ).
cnf(c_1274,plain,
( h(e12) = e23
| h(e11) = e20
| h(e11) = e24 ),
inference(resolve,[status(thm)],[c_16,c_1487]) ).
cnf(c_1281,plain,
( j(e23) = e12
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1274,c_219]) ).
cnf(c_1488,plain,
( op1(e11,e12) = j(e22)
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1281,c_1087]) ).
cnf(c_1489,plain,
( e13 = j(e22)
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_59,c_1488]) ).
cnf(c_1490,plain,
( j(e22) = e13
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1489]) ).
cnf(c_1299,plain,
( j(e22) = e13
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1490]) ).
cnf(c_1491,plain,
( op1(e12,e11) = j(e22)
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1281,c_1090]) ).
cnf(c_1492,plain,
( e14 = j(e22)
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_63,c_1491]) ).
cnf(c_1493,plain,
( j(e22) = e14
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1492]) ).
cnf(c_1301,plain,
( j(e22) = e14
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1493]) ).
cnf(c_1494,plain,
( e14 = e13
| h(e11) = e20
| h(e11) = e24
| h(e11) = e20
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1301,c_1299]) ).
cnf(c_1495,plain,
( e14 = e13
| h(e11) = e20
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1494]) ).
cnf(c_1496,plain,
( e14 = e13
| h(e11) = e20
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1495]) ).
cnf(c_1353,plain,
( h(e11) = e20
| h(e11) = e24 ),
inference(resolve,[status(thm)],[c_16,c_1496]) ).
cnf(c_1497,plain,
( e24 = e21
| h(e11) = e20
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1353,c_1070]) ).
cnf(c_1498,plain,
( e24 = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1497]) ).
cnf(c_1369,plain,
h(e11) = e20,
inference(resolve,[status(thm)],[c_23,c_1498]) ).
cnf(c_1499,negated_conjecture,
j(e20) = e11,
inference(paramod,[status(thm)],[c_1369,c_218]) ).
cnf(c_1500,negated_conjecture,
e10 = e11,
inference(paramod,[status(thm)],[c_958,c_1499]) ).
cnf(c_1501,negated_conjecture,
e11 = e10,
inference(copy,[status(thm)],[c_1500]) ).
cnf(c_1406,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_7,c_1501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG087+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 21:07:54 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 360098 was started by sandbox2 on n008,
% 0.09/0.36 % Sat Sep 26 21:07:54 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 1.89/0.66
% 1.89/0.66 % SZS status Theorem for theBenchmark
% 1.89/0.66
% 1.89/0.66 % Proof 1 at 0.22 (+ 0.05) seconds.
% 1.89/0.66 % Length of proof is 105.
% 1.89/0.66 % Level of proof is 27.
% 1.89/0.66 % Maximum clause weight is 38.000.
% 1.89/0.66 % Given clauses 304.
% 1.89/0.66
% 1.89/0.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------