%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG084+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 : n003.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 0.12s 0.77s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 5
% Syntax : Number of formulae : 198 ( 72 unt; 0 def)
% Number of atoms : 898 ( 897 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 732 ( 32 ~; 496 |; 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) = e21
& op2(e24,e23) = e22
& op2(e24,e22) = e20
& op2(e24,e21) = e23
& op2(e24,e20) = e24
& op2(e23,e24) = e22
& op2(e23,e23) = e21
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e21
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& 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_19,plain,
e23 != 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_52,plain,
op1(e10,e10) = e10,
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_60,plain,
op1(e11,e13) = e12,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_66,plain,
op1(e12,e14) = e11,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_68,plain,
op1(e13,e11) = e12,
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_74,plain,
op1(e14,e12) = e11,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_76,plain,
op1(e14,e14) = e12,
inference(clausify,[status(thm)],[ax4]) ).
cnf(c_83,plain,
op2(e21,e21) = e22,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_86,plain,
op2(e21,e24) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_89,plain,
op2(e22,e22) = e21,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_95,plain,
op2(e23,e23) = e21,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_98,plain,
op2(e24,e21) = e23,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_99,plain,
op2(e24,e22) = e20,
inference(clausify,[status(thm)],[ax5]) ).
cnf(c_101,plain,
op2(e24,e24) = e21,
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_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_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_1504,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_1504]) ).
cnf(c_124,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1505,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_1505]) ).
cnf(c_126,negated_conjecture,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1506,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_1506]) ).
cnf(c_140,negated_conjecture,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1507,negated_conjecture,
h(e11) = op2(h(e12),h(e14)),
inference(paramod,[status(thm)],[c_66,c_140]) ).
cnf(c_141,negated_conjecture,
op2(h(e12),h(e14)) = h(e11),
inference(copy,[status(thm)],[c_1507]) ).
cnf(c_148,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1508,negated_conjecture,
h(e11) = op2(h(e13),h(e13)),
inference(paramod,[status(thm)],[c_70,c_148]) ).
cnf(c_149,negated_conjecture,
op2(h(e13),h(e13)) = h(e11),
inference(copy,[status(thm)],[c_1508]) ).
cnf(c_180,negated_conjecture,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1509,negated_conjecture,
j(e20) = op1(j(e21),j(e24)),
inference(paramod,[status(thm)],[c_86,c_180]) ).
cnf(c_181,negated_conjecture,
op1(j(e21),j(e24)) = j(e20),
inference(copy,[status(thm)],[c_1509]) ).
cnf(c_210,negated_conjecture,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(clausify,[status(thm)],[co1_neg]) ).
cnf(c_1510,negated_conjecture,
j(e21) = op1(j(e24),j(e24)),
inference(paramod,[status(thm)],[c_101,c_210]) ).
cnf(c_211,negated_conjecture,
op1(j(e24),j(e24)) = j(e21),
inference(copy,[status(thm)],[c_1510]) ).
cnf(c_213,negated_conjecture,
h(j(e21)) = e21,
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_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_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_1511,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_1512,plain,
( e21 = 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_1511]) ).
cnf(c_1513,plain,
( h(e10) = e21
| 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_1512]) ).
cnf(c_1514,plain,
( h(e10) = e21
| 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_1513]) ).
cnf(c_1515,plain,
( h(e10) = e21
| h(e10) = e23
| h(e10) = e22
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1514]) ).
cnf(c_1516,plain,
( h(e10) = e21
| h(e10) = e23
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1515]) ).
cnf(c_1517,plain,
( h(e10) = e21
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1516]) ).
cnf(c_332,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1517]) ).
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_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_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_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_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_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_710,plain,
( op1(e14,j(e24)) = j(e20)
| h(e10) = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_649,c_181]) ).
cnf(c_735,plain,
( op1(j(e21),e14) = j(e20)
| h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_689,c_181]) ).
cnf(c_743,plain,
( op1(j(e24),e14) = j(e21)
| h(e10) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_689,c_211]) ).
cnf(c_1518,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_1519,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_1518]) ).
cnf(c_1520,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_1519]) ).
cnf(c_1521,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1520]) ).
cnf(c_1522,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1521]) ).
cnf(c_1523,plain,
( h(e10) = e21
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1522]) ).
cnf(c_774,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1523]) ).
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_1524,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_1525,plain,
( e21 = h(e10)
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_89,c_1524]) ).
cnf(c_1526,plain,
( h(e10) = e21
| h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1525]) ).
cnf(c_1527,plain,
( h(e10) = e21
| h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1526]) ).
cnf(c_1528,plain,
( h(e10) = e21
| h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1527]) ).
cnf(c_800,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1528]) ).
cnf(c_803,plain,
( op2(e21,h(e10)) = h(e10)
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_800,c_113]) ).
cnf(c_1529,plain,
( op2(e21,e21) = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_800,c_803]) ).
cnf(c_1530,plain,
( e22 = h(e10)
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_83,c_1529]) ).
cnf(c_1531,plain,
( h(e10) = e22
| h(e10) = e20
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1530]) ).
cnf(c_828,plain,
( h(e10) = e22
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1531]) ).
cnf(c_1532,plain,
( e22 = e21
| h(e10) = e20
| h(e10) = e20 ),
inference(paramod,[status(thm)],[c_828,c_800]) ).
cnf(c_1533,plain,
( e22 = e21
| h(e10) = e20 ),
inference(copy,[status(thm)],[c_1532]) ).
cnf(c_841,plain,
h(e10) = e20,
inference(resolve,[status(thm)],[c_21,c_1533]) ).
cnf(c_1534,plain,
( op1(j(e24),e14) = j(e21)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_841,c_743]) ).
cnf(c_1535,plain,
( op1(j(e24),e14) = j(e21)
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1534]) ).
cnf(c_846,plain,
( op1(j(e24),e14) = j(e21)
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1535]) ).
cnf(c_1536,plain,
( op1(j(e21),e14) = j(e20)
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_841,c_735]) ).
cnf(c_1537,plain,
( op1(j(e21),e14) = j(e20)
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1536]) ).
cnf(c_854,plain,
( op1(j(e21),e14) = j(e20)
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1537]) ).
cnf(c_1538,plain,
( op1(e14,j(e24)) = j(e20)
| e20 = e21
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_841,c_710]) ).
cnf(c_1539,plain,
( op1(e14,j(e24)) = j(e20)
| e21 = e20
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(copy,[status(thm)],[c_1538]) ).
cnf(c_879,plain,
( op1(e14,j(e24)) = j(e20)
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(resolve,[status(thm)],[c_17,c_1539]) ).
cnf(c_1540,plain,
( j(e24) = e14
| e20 = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_841,c_689]) ).
cnf(c_1541,plain,
( j(e24) = e14
| e24 = e20
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1540]) ).
cnf(c_889,plain,
( j(e24) = e14
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_20,c_1541]) ).
cnf(c_940,negated_conjecture,
j(e20) = e10,
inference(paramod,[status(thm)],[c_841,c_217]) ).
cnf(c_947,negated_conjecture,
op2(h(e11),h(e12)) = e20,
inference(paramod,[status(thm)],[c_841,c_127]) ).
cnf(c_953,plain,
( op1(e14,j(e24)) = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21 ),
inference(paramod,[status(thm)],[c_940,c_879]) ).
cnf(c_959,plain,
( op1(j(e21),e14) = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_940,c_854]) ).
cnf(c_1009,negated_conjecture,
op1(j(e21),j(e24)) = e10,
inference(paramod,[status(thm)],[c_940,c_181]) ).
cnf(c_1542,plain,
( op1(e14,e14) = j(e21)
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_889,c_846]) ).
cnf(c_1543,plain,
( e12 = j(e21)
| 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_1542]) ).
cnf(c_1544,plain,
( j(e21) = e12
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1543]) ).
cnf(c_1545,plain,
( j(e21) = e12
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1544]) ).
cnf(c_1546,plain,
( j(e21) = e12
| h(e11) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1545]) ).
cnf(c_1171,plain,
( j(e21) = e12
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1546]) ).
cnf(c_1547,plain,
( op1(e12,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_1171,c_959]) ).
cnf(c_1548,plain,
( e11 = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(paramod,[status(thm)],[c_66,c_1547]) ).
cnf(c_1549,plain,
( e11 = e10
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1548]) ).
cnf(c_1550,plain,
( e11 = e10
| h(e11) = e24
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1549]) ).
cnf(c_1551,plain,
( e11 = e10
| h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(copy,[status(thm)],[c_1550]) ).
cnf(c_1181,plain,
( h(e11) = e24
| h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[status(thm)],[c_7,c_1551]) ).
cnf(c_1186,plain,
( op2(e24,h(e13)) = h(e11)
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1181,c_149]) ).
cnf(c_1188,plain,
( j(e24) = e13
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1181,c_220]) ).
cnf(c_1204,plain,
( op1(j(e21),e13) = e10
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1188,c_1009]) ).
cnf(c_1552,plain,
( op2(e24,e24) = h(e11)
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1181,c_1186]) ).
cnf(c_1553,plain,
( e21 = h(e11)
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_101,c_1552]) ).
cnf(c_1554,plain,
( h(e11) = e21
| h(e11) = e24
| h(e12) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1553]) ).
cnf(c_1555,plain,
( h(e11) = e21
| h(e11) = e24
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1554]) ).
cnf(c_1214,plain,
( h(e11) = e21
| h(e11) = e24
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1555]) ).
cnf(c_1221,plain,
( j(e24) = e12
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1214,c_219]) ).
cnf(c_1237,plain,
( op1(j(e21),e12) = e10
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1221,c_1009]) ).
cnf(c_1556,plain,
( op1(e14,e12) = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1221,c_953]) ).
cnf(c_1557,plain,
( e11 = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_74,c_1556]) ).
cnf(c_1558,plain,
( e11 = e10
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1557]) ).
cnf(c_1238,plain,
( h(e12) = e21
| h(e13) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(resolve,[status(thm)],[c_7,c_1558]) ).
cnf(c_1246,plain,
( j(e21) = e13
| h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1238,c_220]) ).
cnf(c_1559,plain,
( op1(e13,e12) = e10
| h(e11) = e21
| h(e11) = e24
| h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1246,c_1237]) ).
cnf(c_1560,plain,
( e14 = e10
| h(e11) = e21
| h(e11) = e24
| h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_69,c_1559]) ).
cnf(c_1561,plain,
( e14 = e10
| h(e11) = e21
| h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1560]) ).
cnf(c_1562,plain,
( e14 = e10
| h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1561]) ).
cnf(c_1265,plain,
( h(e12) = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(resolve,[status(thm)],[c_10,c_1562]) ).
cnf(c_1563,plain,
( h(e11) = e21
| h(e11) = e24
| e21 = e24
| h(e11) = e21
| h(e11) = e24 ),
inference(paramod,[status(thm)],[c_1265,c_1214]) ).
cnf(c_1564,plain,
( h(e11) = e21
| h(e11) = e24
| e24 = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1563]) ).
cnf(c_1565,plain,
( h(e11) = e21
| e24 = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1564]) ).
cnf(c_1566,plain,
( e24 = e21
| h(e11) = e21
| h(e11) = e24 ),
inference(copy,[status(thm)],[c_1565]) ).
cnf(c_1275,plain,
( h(e11) = e21
| h(e11) = e24 ),
inference(resolve,[status(thm)],[c_23,c_1566]) ).
cnf(c_1282,plain,
( j(e24) = e11
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1275,c_218]) ).
cnf(c_1284,plain,
( op2(e24,h(e12)) = e20
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1275,c_947]) ).
cnf(c_1298,plain,
( op1(j(e21),e11) = e10
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1282,c_1009]) ).
cnf(c_1567,plain,
( op1(e14,e11) = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1282,c_953]) ).
cnf(c_1568,plain,
( e13 = e10
| h(e11) = e21
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_73,c_1567]) ).
cnf(c_1569,plain,
( e13 = e10
| h(e12) = e21
| h(e13) = e21
| h(e11) = e21 ),
inference(copy,[status(thm)],[c_1568]) ).
cnf(c_1299,plain,
( h(e12) = e21
| h(e13) = e21
| h(e11) = e21 ),
inference(resolve,[status(thm)],[c_9,c_1569]) ).
cnf(c_1307,plain,
( j(e21) = e13
| h(e12) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1299,c_220]) ).
cnf(c_1570,plain,
( op1(e13,e11) = e10
| h(e11) = e21
| h(e12) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1307,c_1298]) ).
cnf(c_1571,plain,
( e12 = e10
| h(e11) = e21
| h(e12) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_68,c_1570]) ).
cnf(c_1572,plain,
( e12 = e10
| h(e12) = e21
| h(e11) = e21 ),
inference(copy,[status(thm)],[c_1571]) ).
cnf(c_1327,plain,
( h(e12) = e21
| h(e11) = e21 ),
inference(resolve,[status(thm)],[c_8,c_1572]) ).
cnf(c_1573,plain,
( op2(e24,e21) = e20
| h(e11) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_1327,c_1284]) ).
cnf(c_1574,plain,
( e23 = e20
| h(e11) = e21
| h(e11) = e21 ),
inference(paramod,[status(thm)],[c_98,c_1573]) ).
cnf(c_1575,plain,
( e23 = e20
| h(e11) = e21 ),
inference(copy,[status(thm)],[c_1574]) ).
cnf(c_1337,plain,
h(e11) = e21,
inference(resolve,[status(thm)],[c_19,c_1575]) ).
cnf(c_1576,plain,
( op1(j(e21),e13) = e10
| e21 = e24
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1337,c_1204]) ).
cnf(c_1577,plain,
( op1(j(e21),e13) = e10
| e24 = e21
| h(e12) = e24 ),
inference(copy,[status(thm)],[c_1576]) ).
cnf(c_1344,plain,
( op1(j(e21),e13) = e10
| h(e12) = e24 ),
inference(resolve,[status(thm)],[c_23,c_1577]) ).
cnf(c_1451,negated_conjecture,
j(e21) = e11,
inference(paramod,[status(thm)],[c_1337,c_218]) ).
cnf(c_1456,negated_conjecture,
op2(h(e12),h(e14)) = e21,
inference(paramod,[status(thm)],[c_1337,c_141]) ).
cnf(c_1578,negated_conjecture,
op2(e21,h(e11)) = h(e14),
inference(paramod,[status(thm)],[c_1337,c_125]) ).
cnf(c_1579,negated_conjecture,
op2(e21,e21) = h(e14),
inference(paramod,[status(thm)],[c_1337,c_1578]) ).
cnf(c_1580,negated_conjecture,
e22 = h(e14),
inference(paramod,[status(thm)],[c_83,c_1579]) ).
cnf(c_1459,negated_conjecture,
h(e14) = e22,
inference(copy,[status(thm)],[c_1580]) ).
cnf(c_1581,plain,
( op1(e11,e13) = e10
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_1451,c_1344]) ).
cnf(c_1582,plain,
( e12 = e10
| h(e12) = e24 ),
inference(paramod,[status(thm)],[c_60,c_1581]) ).
cnf(c_1471,plain,
h(e12) = e24,
inference(resolve,[status(thm)],[c_8,c_1582]) ).
cnf(c_1583,negated_conjecture,
op2(e24,h(e14)) = e21,
inference(paramod,[status(thm)],[c_1471,c_1456]) ).
cnf(c_1584,negated_conjecture,
op2(e24,e22) = e21,
inference(paramod,[status(thm)],[c_1459,c_1583]) ).
cnf(c_1585,negated_conjecture,
e20 = e21,
inference(paramod,[status(thm)],[c_99,c_1584]) ).
cnf(c_1586,negated_conjecture,
e21 = e20,
inference(copy,[status(thm)],[c_1585]) ).
cnf(c_1503,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_17,c_1586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG084+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.56 % Computer : n003.cluster.edu
% 0.09/0.56 % Model : x86_64 x86_64
% 0.09/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.56 % Memory : 8046.5625MB
% 0.09/0.56 % OS : Linux 6.8.0-71-generic
% 0.09/0.56 % CPULimit : 300
% 0.09/0.56 % WCLimit : 300
% 0.09/0.56 % DateTime : Sat Sep 26 21:09:10 UTC 2026
% 0.09/0.56 % CPUTime :
% 0.09/0.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.57 % Process 3771094 was started by sandbox2 on n003,
% 0.09/0.57 % Sat Sep 26 21:09:10 2026
% 0.09/0.57 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.58
% 0.09/0.58 % From the command line: assign(max_seconds, 300).
% 0.12/0.77
% 0.12/0.77 % SZS status Theorem for theBenchmark
% 0.12/0.77
% 0.12/0.77 % Proof 1 at 0.15 (+ 0.03) seconds.
% 0.12/0.77 % Length of proof is 114.
% 0.12/0.77 % Level of proof is 29.
% 0.12/0.77 % Maximum clause weight is 38.000.
% 0.12/0.77 % Given clauses 328.
% 0.12/0.77
% 0.12/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------