%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG085+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 06:49:26 AM UTC 2026
% Result : Theorem 0.15s 5.75s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 87
% Number of leaves : 5
% Syntax : Number of formulae : 236 ( 76 unt; 0 def)
% Number of atoms : 1118 (1117 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 916 ( 34 ~; 678 |; 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) = e12
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e13
& op1(e14,e10) = e14
& op1(e13,e14) = e10
& op1(e13,e13) = e11
& op1(e13,e12) = e14
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e14) = e11
& op1(e12,e13) = e14
& op1(e12,e12) = e13
& op1(e12,e11) = e10
& op1(e12,e10) = e12
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e10
& op1(e11,e11) = e14
& 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) = e20
& op2(e24,e23) = e22
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e20
& op2(e23,e21) = e24
& op2(e23,e20) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e24
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e24) = e23
& op2(e21,e23) = e20
& op2(e21,e22) = e24
& op2(e21,e21) = e22
& 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_8,plain,
e12 != e10,
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_9,plain,
e13 != e10,
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_10,plain,
e14 != e10,
inference(clausify,[status(thm)],[ax1]) ).
cnf(c_17,plain,
e21 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_18,plain,
e22 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_20,plain,
e24 != e20,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_21,plain,
e22 != e21,
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_25,plain,
e24 != e22,
inference(clausify,[status(thm)],[ax2]) ).
cnf(c_52,plain,
op1(e10,e10) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_56,plain,
op1(e10,e14) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_58,plain,
op1(e11,e11) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_59,plain,
op1(e11,e12) = e10,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_61,plain,
op1(e11,e14) = e13,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_64,plain,
op1(e12,e12) = e13,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_65,plain,
op1(e12,e13) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_69,plain,
op1(e13,e12) = e14,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_70,plain,
op1(e13,e13) = e11,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_73,plain,
op1(e14,e11) = e13,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_76,plain,
op1(e14,e14) = e12,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_77,plain,
op2(e20,e20) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_83,plain,
op2(e21,e21) = e22,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_84,plain,
op2(e21,e22) = e24,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_85,plain,
op2(e21,e23) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_88,plain,
op2(e22,e21) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_89,plain,
op2(e22,e22) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_94,plain,
op2(e23,e22) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_95,plain,
op2(e23,e23) = e21,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_99,plain,
op2(e24,e22) = e21,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_101,plain,
op2(e24,e24) = e20,
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_108,negated_conjecture,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_109,negated_conjecture,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
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_1395,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_1395]) ).
cnf(c_124,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1396,negated_conjecture,
h(e14) = op2(h(e11),h(e11)),
inference(paramod,[status(thm)],[c_58,c_124]) ).
cnf(c_125,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(copy,[status(thm)],[c_1396]) ).
cnf(c_126,negated_conjecture,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1397,negated_conjecture,
h(e10) = op2(h(e11),h(e12)),
inference(paramod,[status(thm)],[c_59,c_126]) ).
cnf(c_127,negated_conjecture,
op2(h(e11),h(e12)) = h(e10),
inference(copy,[status(thm)],[c_1397]) ).
cnf(c_138,negated_conjecture,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1398,negated_conjecture,
h(e14) = op2(h(e12),h(e13)),
inference(paramod,[status(thm)],[c_65,c_138]) ).
cnf(c_139,negated_conjecture,
op2(h(e12),h(e13)) = h(e14),
inference(copy,[status(thm)],[c_1398]) ).
cnf(c_146,negated_conjecture,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1399,negated_conjecture,
h(e14) = op2(h(e13),h(e12)),
inference(paramod,[status(thm)],[c_69,c_146]) ).
cnf(c_147,negated_conjecture,
op2(h(e13),h(e12)) = h(e14),
inference(copy,[status(thm)],[c_1399]) ).
cnf(c_162,negated_conjecture,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1400,negated_conjecture,
j(e20) = op1(j(e20),j(e20)),
inference(paramod,[status(thm)],[c_77,c_162]) ).
cnf(c_163,negated_conjecture,
op1(j(e20),j(e20)) = j(e20),
inference(copy,[status(thm)],[c_1400]) ).
cnf(c_178,negated_conjecture,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1401,negated_conjecture,
j(e20) = op1(j(e21),j(e23)),
inference(paramod,[status(thm)],[c_85,c_178]) ).
cnf(c_179,negated_conjecture,
op1(j(e21),j(e23)) = j(e20),
inference(copy,[status(thm)],[c_1401]) ).
cnf(c_196,negated_conjecture,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1402,negated_conjecture,
j(e20) = op1(j(e23),j(e22)),
inference(paramod,[status(thm)],[c_94,c_196]) ).
cnf(c_197,negated_conjecture,
op1(j(e23),j(e22)) = j(e20),
inference(copy,[status(thm)],[c_1402]) ).
cnf(c_210,negated_conjecture,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1403,negated_conjecture,
j(e20) = op1(j(e24),j(e24)),
inference(paramod,[status(thm)],[c_101,c_210]) ).
cnf(c_211,negated_conjecture,
op1(j(e24),j(e24)) = j(e20),
inference(copy,[status(thm)],[c_1403]) ).
cnf(c_213,negated_conjecture,
h(j(e21)) = e21,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_214,negated_conjecture,
h(j(e22)) = e22,
inference(clausify,[status(thm)],[co1_neg]) ).
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_220,negated_conjecture,
j(h(e13)) = e13,
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_221,negated_conjecture,
j(h(e14)) = e14,
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(e14)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_103,c_125]) ).
cnf(c_323,plain,
( h(e14) = e21
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_108,c_213]) ).
cnf(c_324,plain,
( h(e14) = e22
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_109,c_214]) ).
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_1404,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_1405,plain,
( e20 = 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_1404]) ).
cnf(c_1406,plain,
( h(e10) = e20
| 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_1405]) ).
cnf(c_1407,plain,
( h(e10) = e20
| 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_1406]) ).
cnf(c_1408,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1407]) ).
cnf(c_1409,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1408]) ).
cnf(c_1410,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1409]) ).
cnf(c_332,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1410]) ).
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_375,plain,
( h(e13) = e21
| h(e14) = e21
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_323,c_213]) ).
cnf(c_386,plain,
( h(e13) = e22
| h(e14) = e22
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_324,c_214]) ).
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_480,plain,
( h(e12) = e21
| h(e13) = e21
| h(e14) = e21
| j(e21) = e11
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_375,c_213]) ).
cnf(c_491,plain,
( h(e12) = e22
| h(e13) = e22
| h(e14) = e22
| j(e22) = e11
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_386,c_214]) ).
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_535,plain,
( h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e14) = e21
| j(e21) = e10 ),
inference(paramod,[status(thm)],[c_480,c_213]) ).
cnf(c_548,plain,
( h(e11) = e22
| h(e12) = e22
| h(e13) = e22
| h(e14) = e22
| j(e22) = e10 ),
inference(paramod,[status(thm)],[c_491,c_214]) ).
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_592,plain,
( h(e10) = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e14) = e21 ),
inference(paramod,[status(thm)],[c_535,c_213]) ).
cnf(c_603,plain,
( h(e10) = e22
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22
| h(e14) = e22 ),
inference(paramod,[status(thm)],[c_548,c_214]) ).
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_649,plain,
( j(e21) = e14
| h(e10) = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_592,c_221]) ).
cnf(c_661,plain,
( j(e22) = e14
| h(e10) = e22
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(paramod,[status(thm)],[c_603,c_221]) ).
cnf(c_689,plain,
( j(e24) = e14
| h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_627,c_221]) ).
cnf(c_709,plain,
( op1(e14,j(e23)) = j(e20)
| h(e10) = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_649,c_179]) ).
cnf(c_722,plain,
( op1(j(e23),e14) = j(e20)
| h(e10) = e22
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(paramod,[status(thm)],[c_661,c_197]) ).
cnf(c_742,plain,
( op1(e14,j(e24)) = j(e20)
| h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_689,c_211]) ).
cnf(c_1411,plain,
( op2(e24,e24) = h(e14)
| 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_1412,plain,
( e20 = h(e14)
| 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_1411]) ).
cnf(c_1413,plain,
( h(e14) = e20
| 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_1412]) ).
cnf(c_1414,plain,
( h(e14) = e20
| 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_1413]) ).
cnf(c_1415,plain,
( h(e14) = e20
| h(e11) = e23
| h(e11) = e22
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1414]) ).
cnf(c_1416,plain,
( h(e14) = e20
| h(e11) = e23
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1415]) ).
cnf(c_744,plain,
( h(e14) = e20
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1416]) ).
cnf(c_759,plain,
( j(e20) = e14
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_744,c_221]) ).
cnf(c_765,plain,
( op1(j(e20),e14) = j(e20)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_759,c_163]) ).
cnf(c_1417,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_1418,plain,
( e21 = 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_1417]) ).
cnf(c_1419,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1418]) ).
cnf(c_1420,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1419]) ).
cnf(c_1421,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1420]) ).
cnf(c_1422,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1421]) ).
cnf(c_774,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1422]) ).
cnf(c_775,plain,
( op2(e22,h(e10)) = h(e10)
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_774,c_113]) ).
cnf(c_1423,plain,
( op2(e22,e22) = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_774,c_775]) ).
cnf(c_1424,plain,
( e23 = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_89,c_1423]) ).
cnf(c_1425,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1424]) ).
cnf(c_1426,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1425]) ).
cnf(c_800,plain,
( h(e10) = e23
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1426]) ).
cnf(c_1427,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_800,c_774]) ).
cnf(c_1428,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1427]) ).
cnf(c_1429,plain,
( e23 = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1428]) ).
cnf(c_815,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(resolve,[status(thm)],[c_24,c_1429]) ).
cnf(c_816,plain,
( op2(e21,h(e10)) = h(e10)
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_815,c_113]) ).
cnf(c_1430,plain,
( op2(e21,e21) = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_815,c_816]) ).
cnf(c_1431,plain,
( e22 = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_83,c_1430]) ).
cnf(c_1432,plain,
( h(e10) = e22
| h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1431]) ).
cnf(c_841,plain,
( h(e10) = e22
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1432]) ).
cnf(c_1433,plain,
( e22 = e21
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_841,c_815]) ).
cnf(c_1434,plain,
( e22 = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1433]) ).
cnf(c_854,plain,
h(e10) = e20,
inference(resolve,[status(thm)],[c_21,c_1434]) ).
cnf(c_1435,plain,
( op1(e14,j(e24)) = j(e20)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_854,c_742]) ).
cnf(c_1436,plain,
( op1(e14,j(e24)) = j(e20)
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1435]) ).
cnf(c_861,plain,
( op1(e14,j(e24)) = j(e20)
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1436]) ).
cnf(c_1437,plain,
( op1(j(e23),e14) = j(e20)
| e20 = e22
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(paramod,[status(thm)],[c_854,c_722]) ).
cnf(c_1438,plain,
( op1(j(e23),e14) = j(e20)
| e22 = e20
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(copy,[status(thm)],[c_1437]) ).
cnf(c_881,plain,
( op1(j(e23),e14) = j(e20)
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(resolve,[status(thm)],[c_18,c_1438]) ).
cnf(c_1439,plain,
( op1(e14,j(e23)) = j(e20)
| e20 = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_854,c_709]) ).
cnf(c_1440,plain,
( op1(e14,j(e23)) = j(e20)
| e21 = e20
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(copy,[status(thm)],[c_1439]) ).
cnf(c_894,plain,
( op1(e14,j(e23)) = j(e20)
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(resolve,[status(thm)],[c_17,c_1440]) ).
cnf(c_1441,plain,
( j(e24) = e14
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_854,c_689]) ).
cnf(c_1442,plain,
( j(e24) = e14
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1441]) ).
cnf(c_903,plain,
( j(e24) = e14
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1442]) ).
cnf(c_954,negated_conjecture,
j(e20) = e10,
inference(paramod,[status(thm)],[c_854,c_217]) ).
cnf(c_961,negated_conjecture,
op2(h(e11),h(e12)) = e20,
inference(paramod,[status(thm)],[c_854,c_127]) ).
cnf(c_967,plain,
( op1(e14,j(e23)) = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_954,c_894]) ).
cnf(c_970,plain,
( op1(j(e23),e14) = e10
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22 ),
inference(paramod,[status(thm)],[c_954,c_881]) ).
cnf(c_973,plain,
( op1(e14,j(e24)) = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_954,c_861]) ).
cnf(c_1443,plain,
( op1(e10,e14) = j(e20)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_954,c_765]) ).
cnf(c_1444,plain,
( e14 = j(e20)
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_56,c_1443]) ).
cnf(c_1445,plain,
( e14 = e10
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_954,c_1444]) ).
cnf(c_975,plain,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_10,c_1445]) ).
cnf(c_1014,negated_conjecture,
op1(j(e24),j(e24)) = e10,
inference(paramod,[status(thm)],[c_954,c_211]) ).
cnf(c_1039,plain,
( j(e23) = e11
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_975,c_218]) ).
cnf(c_1446,plain,
( op1(e14,e11) = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1039,c_967]) ).
cnf(c_1447,plain,
( e13 = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_73,c_1446]) ).
cnf(c_1448,plain,
( e13 = e10
| h(e12) = e21
| h(e13) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1447]) ).
cnf(c_1085,plain,
( h(e12) = e21
| h(e13) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_9,c_1448]) ).
cnf(c_1449,plain,
( op1(e11,e14) = e10
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1039,c_970]) ).
cnf(c_1450,plain,
( e13 = e10
| h(e11) = e22
| h(e12) = e22
| h(e13) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_61,c_1449]) ).
cnf(c_1451,plain,
( e13 = e10
| h(e12) = e22
| h(e13) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1450]) ).
cnf(c_1136,plain,
( h(e12) = e22
| h(e13) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_9,c_1451]) ).
cnf(c_1140,plain,
( op2(h(e12),e22) = h(e14)
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1136,c_139]) ).
cnf(c_1142,plain,
( op2(e22,h(e12)) = h(e14)
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1136,c_147]) ).
cnf(c_1452,plain,
( h(e12) = e21
| e22 = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1136,c_1085]) ).
cnf(c_1453,plain,
( h(e12) = e21
| e22 = e21
| h(e11) = e22
| h(e11) = e21
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1452]) ).
cnf(c_1454,plain,
( h(e12) = e21
| e22 = e21
| h(e11) = e22
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1453]) ).
cnf(c_1455,plain,
( h(e12) = e21
| e22 = e21
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(copy,[status(thm)],[c_1454]) ).
cnf(c_1150,plain,
( h(e12) = e21
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(resolve,[status(thm)],[c_21,c_1455]) ).
cnf(c_1191,plain,
( op2(h(e11),e22) = e20
| h(e12) = e21
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(paramod,[status(thm)],[c_1150,c_961]) ).
cnf(c_1456,plain,
( op1(e14,e14) = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_903,c_973]) ).
cnf(c_1457,plain,
( e12 = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_76,c_1456]) ).
cnf(c_1458,plain,
( e12 = e10
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1457]) ).
cnf(c_1459,plain,
( e12 = e10
| h(e11) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1458]) ).
cnf(c_1460,plain,
( e12 = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1459]) ).
cnf(c_1268,plain,
( h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_8,c_1460]) ).
cnf(c_1275,plain,
( j(e24) = e13
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1268,c_220]) ).
cnf(c_1296,plain,
( op1(e13,j(e24)) = e10
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1275,c_1014]) ).
cnf(c_1461,plain,
( op1(e13,e13) = e10
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1275,c_1296]) ).
cnf(c_1462,plain,
( e11 = e10
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_70,c_1461]) ).
cnf(c_1463,plain,
( e11 = e10
| h(e11) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1462]) ).
cnf(c_1464,plain,
( e11 = e10
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1463]) ).
cnf(c_1301,plain,
( h(e11) = e24
| h(e12) = e24 ),
inference(resolve,[status(thm)],[c_7,c_1464]) ).
cnf(c_1308,plain,
( j(e24) = e12
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1301,c_219]) ).
cnf(c_1326,plain,
( op1(e12,j(e24)) = e10
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1308,c_1014]) ).
cnf(c_1465,plain,
( op1(e12,e12) = e10
| h(e11) = e24
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1308,c_1326]) ).
cnf(c_1466,plain,
( e13 = e10
| h(e11) = e24
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_64,c_1465]) ).
cnf(c_1467,plain,
( e13 = e10
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1466]) ).
cnf(c_1331,plain,
h(e11) = e24,
inference(resolve,[status(thm)],[c_9,c_1467]) ).
cnf(c_1468,plain,
( op2(h(e11),e22) = e20
| h(e12) = e21
| h(e11) = e22
| h(e11) = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1191]) ).
cnf(c_1469,plain,
( op2(h(e11),e22) = e20
| h(e12) = e21
| h(e11) = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1468]) ).
cnf(c_1470,plain,
( op2(h(e11),e22) = e20
| h(e12) = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1469]) ).
cnf(c_1471,plain,
( op2(e24,e22) = e20
| h(e12) = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1470]) ).
cnf(c_1472,plain,
( e21 = e20
| h(e12) = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_99,c_1471]) ).
cnf(c_1473,plain,
( e21 = e20
| h(e12) = e21
| e24 = e22
| e24 = e21 ),
inference(resolve,[status(thm)],[c_20,c_1472]) ).
cnf(c_1474,plain,
( e21 = e20
| h(e12) = e21
| e24 = e22 ),
inference(resolve,[status(thm)],[c_23,c_1473]) ).
cnf(c_1475,plain,
( e21 = e20
| h(e12) = e21 ),
inference(resolve,[status(thm)],[c_25,c_1474]) ).
cnf(c_1378,plain,
h(e12) = e21,
inference(resolve,[status(thm)],[c_17,c_1475]) ).
cnf(c_1476,plain,
( op2(e22,h(e12)) = h(e14)
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1142]) ).
cnf(c_1477,plain,
( op2(e22,h(e12)) = h(e14)
| h(e12) = e22
| h(e11) = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1476]) ).
cnf(c_1478,plain,
( op2(e22,h(e12)) = h(e14)
| h(e12) = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1477]) ).
cnf(c_1479,plain,
( op2(e22,h(e12)) = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1378,c_1478]) ).
cnf(c_1480,plain,
( op2(e22,e21) = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1378,c_1479]) ).
cnf(c_1481,plain,
( e20 = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_88,c_1480]) ).
cnf(c_1482,plain,
( e20 = h(e14)
| e22 = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(copy,[status(thm)],[c_1481]) ).
cnf(c_1483,plain,
( h(e14) = e20
| e22 = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(copy,[status(thm)],[c_1482]) ).
cnf(c_1484,plain,
( h(e14) = e20
| e22 = e21
| e24 = e22
| e24 = e21 ),
inference(resolve,[status(thm)],[c_20,c_1483]) ).
cnf(c_1485,plain,
( h(e14) = e20
| e22 = e21
| e24 = e22 ),
inference(resolve,[status(thm)],[c_23,c_1484]) ).
cnf(c_1486,plain,
( h(e14) = e20
| e22 = e21 ),
inference(resolve,[status(thm)],[c_25,c_1485]) ).
cnf(c_1393,plain,
h(e14) = e20,
inference(resolve,[status(thm)],[c_21,c_1486]) ).
cnf(c_1487,plain,
( op2(h(e12),e22) = h(e14)
| h(e12) = e22
| h(e11) = e22
| h(e11) = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1140]) ).
cnf(c_1488,plain,
( op2(h(e12),e22) = h(e14)
| h(e12) = e22
| h(e11) = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1487]) ).
cnf(c_1489,plain,
( op2(h(e12),e22) = h(e14)
| h(e12) = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1331,c_1488]) ).
cnf(c_1490,plain,
( op2(h(e12),e22) = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1378,c_1489]) ).
cnf(c_1491,plain,
( op2(e21,e22) = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1378,c_1490]) ).
cnf(c_1492,plain,
( e24 = h(e14)
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_84,c_1491]) ).
cnf(c_1493,plain,
( e24 = e20
| e21 = e22
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(paramod,[status(thm)],[c_1393,c_1492]) ).
cnf(c_1494,plain,
( e24 = e20
| e22 = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(copy,[status(thm)],[c_1493]) ).
cnf(c_1495,plain,
( e22 = e21
| e24 = e22
| e24 = e21
| e24 = e20 ),
inference(copy,[status(thm)],[c_1494]) ).
cnf(c_1496,plain,
( e22 = e21
| e24 = e22
| e24 = e21 ),
inference(resolve,[status(thm)],[c_20,c_1495]) ).
cnf(c_1497,plain,
( e22 = e21
| e24 = e22 ),
inference(resolve,[status(thm)],[c_23,c_1496]) ).
cnf(c_1498,plain,
e22 = e21,
inference(resolve,[status(thm)],[c_25,c_1497]) ).
cnf(c_1394,plain,
$false,
inference(resolve,[status(thm)],[c_21,c_1498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG085+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.58 % Computer : n019.cluster.edu
% 0.12/5.58 % Model : x86_64 x86_64
% 0.12/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.58 % Memory : 8046.5625MB
% 0.12/5.58 % OS : Linux 6.8.0-71-generic
% 0.12/5.58 % CPULimit : 300
% 0.12/5.58 % WCLimit : 300
% 0.12/5.58 % DateTime : Sat Sep 26 21:07:40 UTC 2026
% 0.12/5.58 % CPUTime :
% 0.12/5.59 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/5.59 % Process 2194832 was started by sandbox on n019,
% 0.12/5.59 % Sat Sep 26 21:07:40 2026
% 0.12/5.59 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/5.59
% 0.12/5.59 % From the command line: assign(max_seconds, 300).
% 0.15/5.75
% 0.15/5.75 % SZS status Theorem for theBenchmark
% 0.15/5.75
% 0.15/5.75 % Proof 1 at 0.12 (+ 0.03) seconds.
% 0.15/5.75 % Length of proof is 131.
% 0.15/5.75 % Level of proof is 24.
% 0.15/5.75 % Maximum clause weight is 38.000.
% 0.15/5.75 % Given clauses 314.
% 0.15/5.75
% 0.15/5.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------