TSTP Solution File: ALG037+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:59:42 EDT 2022
% Result : Theorem 4.67s 4.91s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 104
% Syntax : Number of clauses : 260 ( 175 unt; 75 nHn; 260 RR)
% Number of literals : 549 ( 548 equ; 238 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(9,axiom,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(10,axiom,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(12,axiom,
( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(13,axiom,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(15,axiom,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(19,axiom,
op1(unit1,e11) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(20,axiom,
op1(e11,unit1) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(21,axiom,
op1(unit1,e12) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(22,axiom,
op1(e12,unit1) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(24,axiom,
op1(e13,unit1) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(25,axiom,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(50,axiom,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(55,axiom,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(57,axiom,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
cnf(64,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(66,axiom,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(67,axiom,
( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(69,axiom,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(70,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(72,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(76,axiom,
op2(unit2,e21) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(77,axiom,
op2(e21,unit2) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(78,axiom,
op2(unit2,e22) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(79,axiom,
op2(e22,unit2) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(81,axiom,
op2(e23,unit2) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(82,axiom,
( unit2 = e20
| unit2 = e21
| unit2 = e22
| unit2 = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(107,axiom,
( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(112,axiom,
( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(114,axiom,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
cnf(116,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(117,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(118,axiom,
op1(e11,e10) != op1(e12,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(119,axiom,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(122,axiom,
op1(e10,e11) != op1(e12,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(124,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(126,axiom,
op1(e12,e11) != op1(e13,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(127,axiom,
op1(e10,e12) != op1(e11,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(131,axiom,
op1(e11,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(132,axiom,
op1(e12,e12) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(138,axiom,
op1(e12,e13) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(148,axiom,
op1(e11,e11) != op1(e11,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(150,axiom,
op1(e11,e12) != op1(e11,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(151,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(153,axiom,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(155,axiom,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(157,axiom,
op1(e13,e10) != op1(e13,e11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(158,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(160,axiom,
op1(e13,e11) != op1(e13,e12),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(161,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
cnf(164,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(165,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(166,axiom,
op2(e21,e20) != op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(167,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(170,axiom,
op2(e20,e21) != op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(172,axiom,
op2(e21,e21) != op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(174,axiom,
op2(e22,e21) != op2(e23,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(175,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(179,axiom,
op2(e21,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(180,axiom,
op2(e22,e22) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(186,axiom,
op2(e22,e23) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(196,axiom,
op2(e21,e21) != op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(198,axiom,
op2(e21,e22) != op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(199,axiom,
op2(e22,e20) != op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(201,axiom,
op2(e22,e20) != op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(203,axiom,
op2(e22,e21) != op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(205,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(206,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(208,axiom,
op2(e23,e21) != op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(209,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
cnf(211,axiom,
e10 != e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(212,axiom,
e10 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(213,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(216,axiom,
e12 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
cnf(217,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(218,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(219,axiom,
e20 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(222,axiom,
e22 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
cnf(259,axiom,
( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(377,axiom,
( op1(e12,e12) = e10
| op1(e10,e10) = e11
| op1(e13,e13) = e12
| op1(e10,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
cnf(511,axiom,
( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(629,axiom,
( op2(e22,e22) = e20
| op2(e20,e20) = e21
| op2(e23,e23) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
cnf(743,axiom,
op1(e11,e11) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(744,axiom,
op1(e13,e11) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
cnf(745,axiom,
op2(e21,e21) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(746,axiom,
op2(e23,e21) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
cnf(749,axiom,
h1(e10) = op2(e20,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(750,axiom,
h1(e12) = op2(e21,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
cnf(755,axiom,
h2(e12) = op2(e22,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
cnf(760,axiom,
h3(e12) = op2(e23,e20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
cnf(765,axiom,
h4(e12) = op2(e20,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
cnf(770,axiom,
h5(e12) = op2(e22,e21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
cnf(779,axiom,
h7(e10) = op2(e22,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
cnf(780,axiom,
h7(e12) = op2(e20,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
cnf(785,axiom,
h8(e12) = op2(e21,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
cnf(790,axiom,
h9(e12) = op2(e23,e22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
cnf(793,axiom,
h10(e10) = op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(794,axiom,
h10(e12) = op2(e20,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
cnf(795,axiom,
h11(e11) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(796,axiom,
h11(e13) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(797,axiom,
h11(e10) = op2(e23,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(798,plain,
h11(e10) = h10(e10),
inference('REWRITE',[status(thm)],[797,793,theory(equality)]) ).
cnf(799,axiom,
h11(e12) = op2(e21,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
cnf(804,axiom,
h12(e12) = op2(e22,e23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
cnf(1271,negated_conjecture,
( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| h11(e10) != e20
| h11(e13) != e21
| h11(e12) != e22
| h11(e11) != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(1272,plain,
( h11(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h11(op1(e10,e11)) != op2(h10(e10),e23)
| h11(op1(e10,e12)) != op2(h10(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h10(e10),e21)
| h11(op1(e11,e10)) != op2(e23,h10(e10))
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(op1(e12,e10)) != op2(h11(e12),h10(e10))
| h11(op1(e12,e11)) != op2(h11(e12),e23)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e21)
| h11(op1(e13,e10)) != op2(e21,h10(e10))
| h11(op1(e13,e12)) != op2(e21,h11(e12))
| h11(op1(e13,e13)) != e20
| h10(e10) != e20
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[1271,745,799,744,746,793,743,796,795,798,theory(equality)]) ).
cnf(1364,plain,
( h12(e12) = e20
| h12(e12) = e21
| h12(e12) = e22
| h12(e12) = e23 ),
inference('REWRITE',[status(thm)],[69,804,theory(equality)]) ).
cnf(1373,plain,
( h10(e12) = e22
| h11(e12) = e22
| h12(e12) = e22
| h10(e10) = e22 ),
inference('REWRITE',[status(thm)],[112,804,799,794,793,theory(equality)]) ).
cnf(1374,plain,
( h10(e12) = e23
| h11(e12) = e23
| h12(e12) = e23
| h10(e10) = e23 ),
inference('REWRITE',[status(thm)],[114,804,799,794,793,theory(equality)]) ).
cnf(1377,plain,
h12(e12) != h10(e10),
inference('REWRITE',[status(thm)],[186,804,793,theory(equality)]) ).
cnf(1378,plain,
( h9(e12) = e20
| h9(e12) = e21
| h9(e12) = e22
| h9(e12) = e23 ),
inference('REWRITE',[status(thm)],[72,790,theory(equality)]) ).
cnf(1380,plain,
( h8(e12) = e20
| h8(e12) = e21
| h8(e12) = e22
| h8(e12) = e23 ),
inference('REWRITE',[status(thm)],[64,785,theory(equality)]) ).
cnf(1381,plain,
h8(e12) != h9(e12),
inference('REWRITE',[status(thm)],[179,790,785,theory(equality)]) ).
cnf(1382,plain,
h8(e12) != h11(e12),
inference('REWRITE',[status(thm)],[198,799,785,theory(equality)]) ).
cnf(1384,plain,
h7(e12) != h8(e12),
inference('REWRITE',[status(thm)],[175,785,780,theory(equality)]) ).
cnf(1394,plain,
h7(e10) != h9(e12),
inference('REWRITE',[status(thm)],[180,790,779,theory(equality)]) ).
cnf(1410,plain,
( h5(e12) = e20
| h5(e12) = e21
| h5(e12) = e22
| h5(e12) = e23 ),
inference('REWRITE',[status(thm)],[67,770,theory(equality)]) ).
cnf(1412,plain,
h5(e12) != h12(e12),
inference('REWRITE',[status(thm)],[203,804,770,theory(equality)]) ).
cnf(1414,plain,
h4(e12) != h5(e12),
inference('REWRITE',[status(thm)],[170,770,765,theory(equality)]) ).
cnf(1417,plain,
( h3(e12) = e20
| h3(e12) = e21
| h3(e12) = e22
| h3(e12) = e23 ),
inference('REWRITE',[status(thm)],[70,760,theory(equality)]) ).
cnf(1418,plain,
h3(e12) != h9(e12),
inference('REWRITE',[status(thm)],[206,790,760,theory(equality)]) ).
cnf(1420,plain,
( h2(e12) = e20
| h2(e12) = e21
| h2(e12) = e22
| h2(e12) = e23 ),
inference('REWRITE',[status(thm)],[66,755,theory(equality)]) ).
cnf(1426,plain,
h2(e12) != h5(e12),
inference('REWRITE',[status(thm)],[199,770,755,theory(equality)]) ).
cnf(1428,plain,
h2(e12) != h12(e12),
inference('REWRITE',[status(thm)],[201,804,755,theory(equality)]) ).
cnf(1430,plain,
h1(e12) != h2(e12),
inference('REWRITE',[status(thm)],[166,755,750,theory(equality)]) ).
cnf(1431,plain,
h1(e12) != h3(e12),
inference('REWRITE',[status(thm)],[167,760,750,theory(equality)]) ).
cnf(1444,plain,
h1(e10) != h2(e12),
inference('REWRITE',[status(thm)],[164,755,749,theory(equality)]) ).
cnf(1445,plain,
h1(e10) != h3(e12),
inference('REWRITE',[status(thm)],[165,760,749,theory(equality)]) ).
cnf(1481,plain,
( h7(e10) = e20
| h1(e10) = e21
| h10(e10) = e22
| h1(e10) = e23 ),
inference('REWRITE',[status(thm)],[629,793,779,749,theory(equality)]) ).
cnf(1513,plain,
( h3(e12) = e20
| h9(e12) = e20
| h10(e10) = e20 ),
inference('REWRITE',[status(thm)],[107,793,790,218,760,746,theory(equality)]) ).
cnf(1519,plain,
h5(e12) != e22,
inference('REWRITE',[status(thm)],[174,770,746,theory(equality)]) ).
cnf(1520,plain,
( h5(e12) = e20
| h5(e12) = e21
| h5(e12) = e23 ),
inference('REWRITE',[status(thm)],[1410,1519]) ).
cnf(1522,plain,
h3(e12) != e22,
inference('REWRITE',[status(thm)],[205,760,746,theory(equality)]) ).
cnf(1523,plain,
( h3(e12) = e20
| h3(e12) = e21
| h3(e12) = e23 ),
inference('REWRITE',[status(thm)],[1417,1522]) ).
cnf(1525,plain,
h9(e12) != e22,
inference('REWRITE',[status(thm)],[208,790,746,theory(equality)]) ).
cnf(1526,plain,
( h9(e12) = e20
| h9(e12) = e21
| h9(e12) = e23 ),
inference('REWRITE',[status(thm)],[1378,1525]) ).
cnf(1528,plain,
h10(e10) != e22,
inference('REWRITE',[status(thm)],[209,793,746,theory(equality)]) ).
cnf(1530,plain,
( h10(e12) = e22
| h11(e12) = e22
| h12(e12) = e22 ),
inference('REWRITE',[status(thm)],[1373,1528]) ).
cnf(1547,plain,
( h7(e10) = e20
| h1(e10) = e21
| h1(e10) = e23 ),
inference('REWRITE',[status(thm)],[1481,1528]) ).
cnf(1565,plain,
h5(e12) != e20,
inference('REWRITE',[status(thm)],[172,770,745,theory(equality)]) ).
cnf(1567,plain,
( h5(e12) = e21
| h5(e12) = e23 ),
inference('REWRITE',[status(thm)],[1520,1565]) ).
cnf(1571,plain,
h8(e12) != e20,
inference('REWRITE',[status(thm)],[196,785,745,theory(equality)]) ).
cnf(1572,plain,
( h8(e12) = e21
| h8(e12) = e22
| h8(e12) = e23 ),
inference('REWRITE',[status(thm)],[1380,1571]) ).
cnf(1582,plain,
h1(e10) = e20,
inference('REWRITE',[status(thm)],[511,219,218,217,749,745,theory(equality)]) ).
cnf(1583,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[749,1582,theory(equality)]) ).
cnf(1600,plain,
h2(e12) != e20,
inference('REWRITE',[status(thm)],[1444,1582,theory(equality)]) ).
cnf(1601,plain,
( h2(e12) = e21
| h2(e12) = e22
| h2(e12) = e23 ),
inference('REWRITE',[status(thm)],[1420,1600]) ).
cnf(1603,plain,
h3(e12) != e20,
inference('REWRITE',[status(thm)],[1445,1582,theory(equality)]) ).
cnf(1604,plain,
( h9(e12) = e20
| h10(e10) = e20 ),
inference('REWRITE',[status(thm)],[1513,1603]) ).
cnf(1605,plain,
( h3(e12) = e21
| h3(e12) = e23 ),
inference('REWRITE',[status(thm)],[1523,1603]) ).
cnf(1614,plain,
h7(e10) = e20,
inference('REWRITE',[status(thm)],[1547,219,217,1582,theory(equality)]) ).
cnf(1615,plain,
op2(e22,e22) = e20,
inference('REWRITE',[status(thm)],[779,1614,theory(equality)]) ).
cnf(1626,plain,
h9(e12) != e20,
inference('REWRITE',[status(thm)],[1394,1614,theory(equality)]) ).
cnf(1627,plain,
( h9(e12) = e21
| h9(e12) = e23 ),
inference('REWRITE',[status(thm)],[1526,1626]) ).
cnf(1628,plain,
h10(e10) = e20,
inference('REWRITE',[status(thm)],[1604,1626]) ).
cnf(1629,plain,
op2(e23,e23) = e20,
inference('REWRITE',[status(thm)],[793,1628,theory(equality)]) ).
cnf(1630,plain,
h11(e10) = e20,
inference('REWRITE',[status(thm)],[798,1628,theory(equality)]) ).
cnf(1632,plain,
( h11(op1(e10,e10)) != e20
| h11(op1(e10,e11)) != h10(e12)
| h11(op1(e10,e12)) != op2(e20,h11(e12))
| h11(op1(e10,e13)) != h4(e12)
| h11(op1(e11,e10)) != h3(e12)
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(op1(e12,e10)) != op2(h11(e12),e20)
| h11(op1(e12,e11)) != op2(h11(e12),e23)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e21)
| h11(op1(e13,e10)) != h1(e12)
| h11(op1(e13,e12)) != op2(e21,h11(e12))
| h11(op1(e13,e13)) != e20
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[1272,750,760,765,794,1583,1628,theory(equality)]) ).
cnf(1634,plain,
( h10(e12) = e23
| h11(e12) = e23
| h12(e12) = e23 ),
inference('REWRITE',[status(thm)],[1374,219,1628,theory(equality)]) ).
cnf(1635,plain,
h12(e12) != e20,
inference('REWRITE',[status(thm)],[1377,1628,theory(equality)]) ).
cnf(1636,plain,
( h12(e12) = e21
| h12(e12) = e22
| h12(e12) = e23 ),
inference('REWRITE',[status(thm)],[1364,1635]) ).
cnf(1650,plain,
( op1(e13,e10) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference('REWRITE',[status(thm)],[50,212,744,theory(equality)]) ).
cnf(1656,plain,
op1(e12,e11) != e12,
inference('REWRITE',[status(thm)],[126,744,theory(equality)]) ).
cnf(1657,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[10,1656]) ).
cnf(1659,plain,
op1(e13,e10) != e12,
inference('REWRITE',[status(thm)],[157,744,theory(equality)]) ).
cnf(1660,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[13,1659]) ).
cnf(1662,plain,
op1(e13,e12) != e12,
inference('REWRITE',[status(thm)],[160,744,theory(equality)]) ).
cnf(1663,plain,
( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[15,1662]) ).
cnf(1665,plain,
op1(e13,e13) != e12,
inference('REWRITE',[status(thm)],[161,744,theory(equality)]) ).
cnf(1667,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[55,1665]) ).
cnf(1677,plain,
( op1(e12,e12) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e13 ),
inference('REWRITE',[status(thm)],[377,1665]) ).
cnf(1702,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[124,743,theory(equality)]) ).
cnf(1704,plain,
( op1(e12,e11) = e11
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[1657,1702]) ).
cnf(1708,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[148,743,theory(equality)]) ).
cnf(1709,plain,
( op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[7,1708]) ).
cnf(1719,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[259,213,212,211,743,theory(equality)]) ).
cnf(1724,plain,
op1(e12,e10) != e10,
inference('REWRITE',[status(thm)],[116,1719,theory(equality)]) ).
cnf(1725,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference('REWRITE',[status(thm)],[9,1724]) ).
cnf(1727,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[117,1719,theory(equality)]) ).
cnf(1728,plain,
( op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
inference('REWRITE',[status(thm)],[1650,1727]) ).
cnf(1729,plain,
( op1(e13,e10) = e11
| op1(e13,e10) = e13 ),
inference('REWRITE',[status(thm)],[1660,1727]) ).
cnf(1738,plain,
( h11(op1(e10,e11)) != h10(e12)
| h11(op1(e10,e12)) != op2(e20,h11(e12))
| h11(op1(e10,e13)) != h4(e12)
| h11(op1(e11,e10)) != h3(e12)
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(op1(e12,e10)) != op2(h11(e12),e20)
| h11(op1(e12,e11)) != op2(h11(e12),e23)
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e21)
| h11(op1(e13,e10)) != h1(e12)
| h11(op1(e13,e12)) != op2(e21,h11(e12))
| h11(op1(e13,e13)) != e20
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[1632,1630,1719,theory(equality)]) ).
cnf(1748,plain,
op1(e12,e12) = e10,
inference('REWRITE',[status(thm)],[1677,213,211,1719,theory(equality)]) ).
cnf(1753,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[132,1748,theory(equality)]) ).
cnf(1754,plain,
( op1(e13,e12) = e11
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[1663,1753]) ).
cnf(1755,plain,
op1(e13,e13) = e10,
inference('REWRITE',[status(thm)],[1728,1753]) ).
cnf(1757,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[57,213,1755,theory(equality)]) ).
cnf(1758,plain,
op1(e12,e13) != e10,
inference('REWRITE',[status(thm)],[138,1755,theory(equality)]) ).
cnf(1759,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[12,1758]) ).
cnf(1766,plain,
( h11(op1(e10,e11)) != h10(e12)
| h11(op1(e10,e12)) != op2(e20,h11(e12))
| h11(op1(e10,e13)) != h4(e12)
| h11(op1(e11,e10)) != h3(e12)
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(op1(e12,e10)) != op2(h11(e12),e20)
| h11(op1(e12,e11)) != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e21)
| h11(op1(e13,e10)) != h1(e12)
| h11(op1(e13,e12)) != op2(e21,h11(e12))
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[1738,1755,1630,1748,theory(equality)]) ).
cnf(1825,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,25,theory(equality)]),213,1755,theory(equality)]) ).
cnf(1826,plain,
( unit2 = e20
| unit2 = e21
| unit2 = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[81,82,theory(equality)]),219,1629,theory(equality)]) ).
cnf(2386,plain,
( unit1 = e10
| unit1 = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22,1825,theory(equality)]),212,1748,theory(equality)]) ).
cnf(2387,plain,
unit1 = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,2386,theory(equality)]),216,744,theory(equality)]) ).
cnf(2388,plain,
op1(e10,e11) = e11,
inference('REWRITE',[status(thm)],[19,2387,theory(equality)]) ).
cnf(2389,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[122,2388,theory(equality)]) ).
cnf(2390,plain,
op1(e12,e11) = e13,
inference('REWRITE',[status(thm)],[1704,2389]) ).
cnf(2391,plain,
op1(e12,e10) != e13,
inference('REWRITE',[status(thm)],[151,2390,theory(equality)]) ).
cnf(2393,plain,
( op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference('REWRITE',[status(thm)],[1725,2391]) ).
cnf(2396,plain,
op1(e12,e13) != e13,
inference('REWRITE',[status(thm)],[155,2390,theory(equality)]) ).
cnf(2397,plain,
( op1(e10,e13) = e13
| op1(e11,e13) = e13 ),
inference('REWRITE',[status(thm)],[1757,2396]) ).
cnf(2398,plain,
( op1(e12,e13) = e11
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[1759,2396]) ).
cnf(2423,plain,
( h10(e12) != e23
| h11(op1(e10,e12)) != op2(e20,h11(e12))
| h11(op1(e10,e13)) != h4(e12)
| h11(op1(e11,e10)) != h3(e12)
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(op1(e12,e10)) != op2(h11(e12),e20)
| e21 != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),e21)
| h11(op1(e13,e10)) != h1(e12)
| h11(op1(e13,e12)) != op2(e21,h11(e12))
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[1766,796,2390,795,2388,theory(equality)]) ).
cnf(2741,plain,
op1(e11,e10) = e11,
inference('REWRITE',[status(thm)],[20,2387,theory(equality)]) ).
cnf(2742,plain,
op1(e12,e10) != e11,
inference('REWRITE',[status(thm)],[118,2741,theory(equality)]) ).
cnf(2743,plain,
op1(e12,e10) = e12,
inference('REWRITE',[status(thm)],[2393,2742]) ).
cnf(2744,plain,
op1(e12,e13) != e12,
inference('REWRITE',[status(thm)],[153,2743,theory(equality)]) ).
cnf(2745,plain,
( op1(e10,e13) = e12
| op1(e11,e13) = e12 ),
inference('REWRITE',[status(thm)],[1667,2744]) ).
cnf(2746,plain,
op1(e12,e13) = e11,
inference('REWRITE',[status(thm)],[2398,2744]) ).
cnf(2751,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[119,2741,theory(equality)]) ).
cnf(2752,plain,
op1(e13,e10) = e13,
inference('REWRITE',[status(thm)],[1729,2751]) ).
cnf(2753,plain,
op1(e13,e12) != e13,
inference('REWRITE',[status(thm)],[158,2752,theory(equality)]) ).
cnf(2755,plain,
op1(e13,e12) = e11,
inference('REWRITE',[status(thm)],[1754,2753]) ).
cnf(2756,plain,
op1(e11,e12) != e11,
inference('REWRITE',[status(thm)],[131,2755,theory(equality)]) ).
cnf(2757,plain,
( op1(e11,e12) = e12
| op1(e11,e12) = e13 ),
inference('REWRITE',[status(thm)],[1709,2756]) ).
cnf(2766,plain,
( h10(e12) != e23
| h11(op1(e10,e12)) != op2(e20,h11(e12))
| h11(op1(e10,e13)) != h4(e12)
| h3(e12) != e23
| h11(op1(e11,e12)) != op2(e23,h11(e12))
| h11(op1(e11,e13)) != e22
| h11(e12) != op2(h11(e12),e20)
| e21 != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| e23 != op2(h11(e12),e21)
| h1(e12) != e21
| e23 != op2(e21,h11(e12))
| h11(e12) != e22 ),
inference('REWRITE',[status(thm)],[2423,2755,796,2752,2746,2743,795,2741,theory(equality)]) ).
cnf(2926,plain,
op1(e10,e12) = e12,
inference('REWRITE',[status(thm)],[21,2387,theory(equality)]) ).
cnf(2927,plain,
op1(e11,e12) != e12,
inference('REWRITE',[status(thm)],[127,2926,theory(equality)]) ).
cnf(2928,plain,
op1(e11,e12) = e13,
inference('REWRITE',[status(thm)],[2757,2927]) ).
cnf(2929,plain,
op1(e11,e13) != e13,
inference('REWRITE',[status(thm)],[150,2928,theory(equality)]) ).
cnf(2930,plain,
op1(e10,e13) = e13,
inference('REWRITE',[status(thm)],[2397,2929]) ).
cnf(2931,plain,
op1(e11,e13) = e12,
inference('REWRITE',[status(thm)],[2745,216,2930,theory(equality)]) ).
cnf(2934,plain,
( h10(e12) != e23
| h11(e12) != op2(e20,h11(e12))
| h4(e12) != e21
| h3(e12) != e23
| e21 != op2(e23,h11(e12))
| h11(e12) != e22
| h11(e12) != op2(h11(e12),e20)
| e21 != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| e23 != op2(h11(e12),e21)
| h1(e12) != e21
| e23 != op2(e21,h11(e12)) ),
inference('REWRITE',[status(thm)],[2766,2931,2928,796,2930,2926,theory(equality)]) ).
cnf(3000,plain,
( unit2 = e20
| unit2 = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[79,1826,theory(equality)]),218,1615,theory(equality)]) ).
cnf(3001,plain,
unit2 = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[81,3000,theory(equality)]),222,746,theory(equality)]) ).
cnf(3002,plain,
h4(e12) = e21,
inference('REWRITE',[status(thm)],[76,765,3001,theory(equality)]) ).
cnf(3004,plain,
h5(e12) != e21,
inference('REWRITE',[status(thm)],[1414,3002,theory(equality)]) ).
cnf(3005,plain,
h5(e12) = e23,
inference('REWRITE',[status(thm)],[1567,3004]) ).
cnf(3006,plain,
op2(e22,e21) = e23,
inference('REWRITE',[status(thm)],[770,3005,theory(equality)]) ).
cnf(3007,plain,
h12(e12) != e23,
inference('REWRITE',[status(thm)],[1412,3005,theory(equality)]) ).
cnf(3008,plain,
( h10(e12) = e23
| h11(e12) = e23 ),
inference('REWRITE',[status(thm)],[1634,3007]) ).
cnf(3009,plain,
( h12(e12) = e21
| h12(e12) = e22 ),
inference('REWRITE',[status(thm)],[1636,3007]) ).
cnf(3011,plain,
h2(e12) != e23,
inference('REWRITE',[status(thm)],[1426,3005,theory(equality)]) ).
cnf(3013,plain,
( h2(e12) = e21
| h2(e12) = e22 ),
inference('REWRITE',[status(thm)],[1601,3011]) ).
cnf(3050,plain,
( h10(e12) != e23
| h11(e12) != op2(e20,h11(e12))
| h3(e12) != e23
| e21 != op2(e23,h11(e12))
| h11(e12) != e22
| h11(e12) != op2(h11(e12),e20)
| e21 != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| e23 != op2(h11(e12),e21)
| h1(e12) != e21
| e23 != op2(e21,h11(e12)) ),
inference('REWRITE',[status(thm)],[2934,3002,theory(equality)]) ).
cnf(3074,plain,
h1(e12) = e21,
inference('REWRITE',[status(thm)],[77,750,3001,theory(equality)]) ).
cnf(3076,plain,
h2(e12) != e21,
inference('REWRITE',[status(thm)],[1430,3074,theory(equality)]) ).
cnf(3077,plain,
h2(e12) = e22,
inference('REWRITE',[status(thm)],[3013,3076]) ).
cnf(3078,plain,
op2(e22,e20) = e22,
inference('REWRITE',[status(thm)],[755,3077,theory(equality)]) ).
cnf(3079,plain,
h12(e12) != e22,
inference('REWRITE',[status(thm)],[1428,3077,theory(equality)]) ).
cnf(3080,plain,
( h10(e12) = e22
| h11(e12) = e22 ),
inference('REWRITE',[status(thm)],[1530,3079]) ).
cnf(3083,plain,
h12(e12) = e21,
inference('REWRITE',[status(thm)],[3009,3079]) ).
cnf(3084,plain,
op2(e22,e23) = e21,
inference('REWRITE',[status(thm)],[804,3083,theory(equality)]) ).
cnf(3099,plain,
h3(e12) != e21,
inference('REWRITE',[status(thm)],[1431,3074,theory(equality)]) ).
cnf(3100,plain,
h3(e12) = e23,
inference('REWRITE',[status(thm)],[1605,3099]) ).
cnf(3102,plain,
h9(e12) != e23,
inference('REWRITE',[status(thm)],[1418,3100,theory(equality)]) ).
cnf(3104,plain,
h9(e12) = e21,
inference('REWRITE',[status(thm)],[1627,3102]) ).
cnf(3105,plain,
op2(e23,e22) = e21,
inference('REWRITE',[status(thm)],[790,3104,theory(equality)]) ).
cnf(3106,plain,
h8(e12) != e21,
inference('REWRITE',[status(thm)],[1381,3104,theory(equality)]) ).
cnf(3107,plain,
( h8(e12) = e22
| h8(e12) = e23 ),
inference('REWRITE',[status(thm)],[1572,3106]) ).
cnf(3119,plain,
( h10(e12) != e23
| h11(e12) != op2(e20,h11(e12))
| e21 != op2(e23,h11(e12))
| h11(e12) != e22
| h11(e12) != op2(h11(e12),e20)
| e21 != op2(h11(e12),e23)
| e20 != op2(h11(e12),h11(e12))
| e23 != op2(h11(e12),e21)
| e23 != op2(e21,h11(e12)) ),
inference('REWRITE',[status(thm)],[3050,3100,3074,theory(equality)]) ).
cnf(3126,plain,
h7(e12) = e22,
inference('REWRITE',[status(thm)],[78,780,3001,theory(equality)]) ).
cnf(3127,plain,
op2(e20,e22) = e22,
inference('REWRITE',[status(thm)],[780,3126,theory(equality)]) ).
cnf(3128,plain,
h8(e12) != e22,
inference('REWRITE',[status(thm)],[1384,3126,theory(equality)]) ).
cnf(3129,plain,
h8(e12) = e23,
inference('REWRITE',[status(thm)],[3107,3128]) ).
cnf(3130,plain,
op2(e21,e22) = e23,
inference('REWRITE',[status(thm)],[785,3129,theory(equality)]) ).
cnf(3131,plain,
h11(e12) != e23,
inference('REWRITE',[status(thm)],[1382,3129,theory(equality)]) ).
cnf(3132,plain,
h10(e12) = e23,
inference('REWRITE',[status(thm)],[3008,3131]) ).
cnf(3134,plain,
h11(e12) = e22,
inference('REWRITE',[status(thm)],[3080,222,3132,theory(equality)]) ).
cnf(3136,plain,
$false,
inference('REWRITE',[status(thm)],[3119,3130,3006,1615,3084,3078,3105,3127,3134,3132,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 8 20:15:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T20:15:22
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-08T20:15:22
% 4.67/4.91
% 4.67/4.91
% 4.67/4.91 #||
% 4.67/4.91 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.67/4.91 % SZS output start Refutation
% See solution above
% 4.74/4.93 ||#
% 4.74/4.93
% 4.74/4.93 ; Summary of computation:
% 4.74/4.93 ; 7771 formulas have been input or derived (from 302 formulas).
% 4.74/4.93 ; 3136 (40%) were retained. Of these,
% 4.74/4.93 ; 3025 (96%) were simplified or subsumed later,
% 4.74/4.93 ; 111 ( 4%) are still being kept.
% 4.74/4.93 ;
% 4.74/4.93 ; Run time in seconds excluding printing time:
% 4.74/4.93 ; 0.069 2% Read assertion file (1 call)
% 4.74/4.93 ; 1.146 26% Assert (28 calls)
% 4.74/4.93 ; 0.438 10% Process new row (7,367 calls)
% 4.74/4.93 ; 0.008 0% Resolution (602 calls)
% 4.74/4.93 ; 0.051 1% Paramodulation (301 calls)
% 4.74/4.93 ; 0.000 0% Factoring (72 calls)
% 4.74/4.93 ; 0.005 0% Condensing (3,005 calls)
% 4.74/4.93 ; 0.695 16% Forward subsumption (3,005 calls)
% 4.74/4.93 ; 0.162 4% Backward subsumption (2,449 calls)
% 4.74/4.93 ; 0.087 2% Clause clause subsumption (8,624 calls)
% 4.74/4.93 ; 1.481 34% Forward simplification (7,336 calls)
% 4.74/4.93 ; 0.215 5% Backward simplification (2,787 calls)
% 4.74/4.93 ; 0.006 0% Ordering (7,239 calls)
% 4.74/4.93 ; 0.000 0% Sortal reasoning (32 calls)
% 4.74/4.93 ; 0.010 0% Purity testing (1 call)
% 4.74/4.93 ; 0.047 1% Other
% 4.74/4.93 ; 4.420 Total
% 4.74/4.93 ; 4.445 Real time
% 4.74/4.93 ;
% 4.74/4.93 ; Term-hash-array has 1,259 terms in all.
% 4.74/4.93 ; Feature-vector-row-index has 0 entries (688 at peak, 2,449 added, 2,449 deleted).
% 4.74/4.93 ; Feature-vector-row-index has 1 node (10,758 at peak, 32,614 added, 32,613 deleted).
% 4.74/4.93 ; Retrieved 5,032 possibly forward subsuming rows in 3,005 calls.
% 4.74/4.93 ; Retrieved 4,086 possibly backward subsumed rows in 2,449 calls.
% 4.74/4.93 ; Path-index has 200 entries (834 at peak, 3,726 added, 3,526 deleted).
% 4.74/4.93 ; Path-index has 302 nodes (558 at peak, 1,822 added, 1,520 deleted).
% 4.74/4.93 ; Trie-index has 200 entries (834 at peak, 3,726 added, 3,526 deleted).
% 4.74/4.93 ; Trie-index has 335 nodes (1,902 at peak, 8,918 added, 8,583 deleted).
% 4.74/4.93 ; Retrieved 110,904 generalization terms in 393,338 calls.
% 4.74/4.93 ; Retrieved 337 instance terms in 337 calls.
% 4.74/4.93 ; Retrieved 739 unifiable terms in 2,230 calls.
% 4.74/4.93 ;
% 4.74/4.93 ; The agenda of backward simplifiable rows to process has 39 entries:
% 4.74/4.93 ; 39 with value 0
% 4.74/4.93 ; The agenda of rows to process has 7 entries:
% 4.74/4.93 ; 6 with value 14 1 with value 15
% 4.74/4.93 ; The agenda of input rows to give has 22 entries:
% 4.74/4.93 ; 11 with value 6 11 with value 7
% 4.74/4.93 ; The agenda of rows to give has 1 entry:
% 4.74/4.93 ; 1 with value (4 7)
% 4.74/4.93 Evaluation took:
% 4.74/4.93 4.445 seconds of real time
% 4.74/4.93 4.333344 seconds of user run time
% 4.74/4.93 0.111965 seconds of system run time
% 4.74/4.93 [Run times include 0.159 seconds GC run time.]
% 4.74/4.93 0 calls to %EVAL
% 4.74/4.93 0 page faults and
% 4.74/4.93 353,276,512 bytes consed.
% 4.74/4.93 :PROOF-FOUND
% 4.74/4.93 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T20:15:27
% 4.74/4.93 :PROOF-FOUND
% 4.74/4.93 *
%------------------------------------------------------------------------------