TSTP Solution File: ALG185+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG185+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 18:00:06 EDT 2022
% Result : Theorem 7.36s 7.58s
% Output : Refutation 7.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 78
% Syntax : Number of clauses : 238 ( 102 unt; 136 nHn; 238 RR)
% Number of literals : 770 ( 769 equ; 16 neg)
% Maximal clause size : 8 ( 3 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)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
e10 != e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(2,axiom,
e10 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(3,axiom,
e10 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
e10 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(5,axiom,
e11 != e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(7,axiom,
e11 != e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(8,axiom,
e12 != e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
cnf(11,axiom,
e20 != e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(12,axiom,
e20 != e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(13,axiom,
e20 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(14,axiom,
e20 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(16,axiom,
e21 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(17,axiom,
e21 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(18,axiom,
e22 != e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(19,axiom,
e22 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(20,axiom,
e23 != e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
cnf(47,axiom,
op1(e10,e11) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(48,axiom,
op1(e10,e12) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(49,axiom,
op1(e10,e13) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(50,axiom,
op1(e10,e14) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(51,axiom,
op1(e11,e10) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(53,axiom,
op1(e11,e12) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(54,axiom,
op1(e11,e13) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(55,axiom,
op1(e11,e14) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(56,axiom,
op1(e12,e10) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(57,axiom,
op1(e12,e11) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(59,axiom,
op1(e12,e13) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(60,axiom,
op1(e12,e14) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(61,axiom,
op1(e13,e10) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(65,axiom,
op1(e13,e14) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(66,axiom,
op1(e14,e10) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(69,axiom,
op1(e14,e13) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
cnf(72,axiom,
op2(e20,e21) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(73,axiom,
op2(e20,e22) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(76,axiom,
op2(e21,e20) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(78,axiom,
op2(e21,e22) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(79,axiom,
op2(e21,e23) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(81,axiom,
op2(e22,e20) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(82,axiom,
op2(e22,e21) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(85,axiom,
op2(e22,e24) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(86,axiom,
op2(e23,e20) = e24,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(87,axiom,
op2(e23,e21) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(88,axiom,
op2(e23,e22) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(90,axiom,
op2(e23,e24) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(91,axiom,
op2(e24,e20) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(92,axiom,
op2(e24,e21) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(93,axiom,
op2(e24,e22) = e20,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(94,axiom,
op2(e24,e23) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
cnf(96,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(97,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(98,negated_conjecture,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(99,negated_conjecture,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(100,negated_conjecture,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(102,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(103,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(108,negated_conjecture,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(109,plain,
h(e13) = op2(h(e10),h(e11)),
inference('REWRITE',[status(thm)],[108,47,theory(equality)]) ).
cnf(110,negated_conjecture,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(111,plain,
h(e14) = op2(h(e10),h(e12)),
inference('REWRITE',[status(thm)],[110,48,theory(equality)]) ).
cnf(112,negated_conjecture,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(113,plain,
h(e11) = op2(h(e10),h(e13)),
inference('REWRITE',[status(thm)],[112,49,theory(equality)]) ).
cnf(116,negated_conjecture,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(117,plain,
h(e14) = op2(h(e11),h(e10)),
inference('REWRITE',[status(thm)],[116,51,theory(equality)]) ).
cnf(120,negated_conjecture,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(121,plain,
h(e13) = op2(h(e11),h(e12)),
inference('REWRITE',[status(thm)],[120,53,theory(equality)]) ).
cnf(122,negated_conjecture,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(123,plain,
h(e12) = op2(h(e11),h(e13)),
inference('REWRITE',[status(thm)],[122,54,theory(equality)]) ).
cnf(126,negated_conjecture,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(127,plain,
h(e11) = op2(h(e12),h(e10)),
inference('REWRITE',[status(thm)],[126,56,theory(equality)]) ).
cnf(132,negated_conjecture,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(133,plain,
h(e14) = op2(h(e12),h(e13)),
inference('REWRITE',[status(thm)],[132,59,theory(equality)]) ).
cnf(134,negated_conjecture,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(135,plain,
h(e13) = op2(h(e12),h(e14)),
inference('REWRITE',[status(thm)],[134,60,theory(equality)]) ).
cnf(136,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(137,plain,
h(e12) = op2(h(e13),h(e10)),
inference('REWRITE',[status(thm)],[136,61,theory(equality)]) ).
cnf(146,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(147,plain,
h(e13) = op2(h(e14),h(e10)),
inference('REWRITE',[status(thm)],[146,66,theory(equality)]) ).
cnf(158,negated_conjecture,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(159,plain,
j(e23) = op1(j(e20),j(e21)),
inference('REWRITE',[status(thm)],[158,72,theory(equality)]) ).
cnf(184,negated_conjecture,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(185,plain,
j(e23) = op1(j(e22),j(e24)),
inference('REWRITE',[status(thm)],[184,85,theory(equality)]) ).
cnf(194,negated_conjecture,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(195,plain,
j(e22) = op1(j(e23),j(e24)),
inference('REWRITE',[status(thm)],[194,90,theory(equality)]) ).
cnf(198,negated_conjecture,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(199,plain,
j(e22) = op1(j(e24),j(e21)),
inference('REWRITE',[status(thm)],[198,92,theory(equality)]) ).
cnf(207,negated_conjecture,
h(j(e21)) = e21,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(208,negated_conjecture,
h(j(e22)) = e22,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(209,negated_conjecture,
h(j(e23)) = e23,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(211,negated_conjecture,
j(h(e10)) = e10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(212,negated_conjecture,
j(h(e11)) = e11,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(213,negated_conjecture,
j(h(e12)) = e12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(214,negated_conjecture,
j(h(e13)) = e13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(215,negated_conjecture,
j(h(e14)) = e14,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
cnf(216,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| j(e24) = e10 ),
inference('PARAMODULATE',[status(thm)],[211,96,theory(equality)]) ).
cnf(222,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e11) = op2(e24,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[113,96,theory(equality)]) ).
cnf(224,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e13) = op2(e24,h(e11)) ),
inference('PARAMODULATE',[status(thm)],[109,96,theory(equality)]) ).
cnf(225,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| j(e24) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,97,theory(equality)]) ).
cnf(230,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e12) = op2(e24,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[123,97,theory(equality)]) ).
cnf(231,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e13) = op2(e24,h(e12)) ),
inference('PARAMODULATE',[status(thm)],[121,97,theory(equality)]) ).
cnf(234,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| j(e24) = e12 ),
inference('PARAMODULATE',[status(thm)],[213,98,theory(equality)]) ).
cnf(237,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e13) = op2(e24,h(e14)) ),
inference('PARAMODULATE',[status(thm)],[135,98,theory(equality)]) ).
cnf(238,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e14) = op2(e24,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[133,98,theory(equality)]) ).
cnf(243,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| j(e24) = e13 ),
inference('PARAMODULATE',[status(thm)],[214,99,theory(equality)]) ).
cnf(252,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| j(e24) = e14 ),
inference('PARAMODULATE',[status(thm)],[215,100,theory(equality)]) ).
cnf(270,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| h(e14) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,102,theory(equality)]) ).
cnf(279,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| h(e14) = e22 ),
inference('PARAMODULATE',[status(thm)],[208,103,theory(equality)]) ).
cnf(322,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,225,theory(equality)]),1]) ).
cnf(331,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[225,234,theory(equality)]),5]) ).
cnf(337,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| j(e22) = op1(j(e23),e13) ),
inference('PARAMODULATE',[status(thm)],[195,243,theory(equality)]) ).
cnf(338,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| j(e23) = op1(j(e22),e13) ),
inference('PARAMODULATE',[status(thm)],[185,243,theory(equality)]) ).
cnf(341,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[234,243,theory(equality)]),8]) ).
cnf(348,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| j(e22) = op1(j(e23),e14) ),
inference('PARAMODULATE',[status(thm)],[195,252,theory(equality)]) ).
cnf(349,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| j(e23) = op1(j(e22),e14) ),
inference('PARAMODULATE',[status(thm)],[185,252,theory(equality)]) ).
cnf(365,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| h(e14) = e21
| h(e13) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,270,theory(equality)]) ).
cnf(374,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| h(e14) = e22
| h(e13) = e22 ),
inference('PARAMODULATE',[status(thm)],[208,279,theory(equality)]) ).
cnf(410,plain,
( j(e21) = e10
| j(e21) = e11
| h(e14) = e21
| h(e13) = e21
| h(e12) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,365,theory(equality)]) ).
cnf(455,plain,
( j(e21) = e10
| h(e14) = e21
| h(e13) = e21
| h(e12) = e21
| h(e11) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,410,theory(equality)]) ).
cnf(500,plain,
( h(e14) = e21
| h(e13) = e21
| h(e12) = e21
| h(e11) = e21
| h(e10) = e21 ),
inference('PARAMODULATE',[status(thm)],[207,455,theory(equality)]) ).
cnf(829,plain,
( h(e13) = e21
| h(e12) = e21
| h(e11) = e21
| h(e10) = e21
| h(e13) = op2(e21,h(e10)) ),
inference('PARAMODULATE',[status(thm)],[147,500,theory(equality)]) ).
cnf(982,plain,
( j(e22) = e10
| j(e22) = e11
| h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e23) = e14 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[338,374,theory(equality)]),59,theory(equality)]) ).
cnf(1012,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e23) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[349,279,theory(equality)]),65,theory(equality)]) ).
cnf(1976,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e13) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,322,theory(equality)]),94,theory(equality)]) ).
cnf(1989,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e13) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[231,331,theory(equality)]),94,theory(equality)]) ).
cnf(2012,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e14) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,341,theory(equality)]),94,theory(equality)]) ).
cnf(2197,plain,
( j(e22) = e10
| j(e22) = e11
| h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[337,982,theory(equality)]),69,theory(equality)]) ).
cnf(2199,plain,
( j(e22) = e10
| h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e23) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[338,2197,theory(equality)]),54,theory(equality)]) ).
cnf(2248,plain,
( j(e22) = e10
| h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e22) = e14 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[337,2199,theory(equality)]),59,theory(equality)]) ).
cnf(2368,plain,
( j(e22) = e10
| h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23 ),
inference('PARAMODULATE',[status(thm)],[208,2248,theory(equality)]) ).
cnf(2370,plain,
( h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e23) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[338,2368,theory(equality)]),49,theory(equality)]) ).
cnf(2406,plain,
( h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e22) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[337,2370,theory(equality)]),54,theory(equality)]) ).
cnf(2502,plain,
( h(e14) = e22
| h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2368,2406,theory(equality)]),2]) ).
cnf(2503,plain,
( h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e22) = e14 ),
inference('PARAMODULATE',[status(thm)],[215,2502,theory(equality)]) ).
cnf(2515,plain,
( h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e23) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[338,2503,theory(equality)]),69,theory(equality)]) ).
cnf(2561,plain,
( h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| j(e22) = e11 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[337,2515,theory(equality)]),49,theory(equality)]) ).
cnf(2694,plain,
( h(e13) = e22
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2503,2561,theory(equality)]),7]) ).
cnf(3282,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,1012,theory(equality)]),55,theory(equality)]) ).
cnf(3284,plain,
( j(e22) = e10
| j(e22) = e11
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e23) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[349,3282,theory(equality)]),60,theory(equality)]) ).
cnf(3321,plain,
( j(e22) = e10
| j(e22) = e11
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,3284,theory(equality)]),65,theory(equality)]) ).
cnf(3323,plain,
( j(e22) = e10
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e23) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[349,3321,theory(equality)]),55,theory(equality)]) ).
cnf(3367,plain,
( j(e22) = e10
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e22) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,3323,theory(equality)]),50,theory(equality)]) ).
cnf(3468,plain,
( j(e22) = e10
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3321,3367,theory(equality)]),5,2]) ).
cnf(3470,plain,
( h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e23) = e12 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[349,3468,theory(equality)]),50,theory(equality)]) ).
cnf(3505,plain,
( h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23
| j(e22) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,3470,theory(equality)]),60,theory(equality)]) ).
cnf(3584,plain,
( h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3468,3505,theory(equality)]),3]) ).
cnf(3585,plain,
( h(e14) = e22
| h(e14) = e20
| h(e14) = e21
| j(e23) = e14 ),
inference('PARAMODULATE',[status(thm)],[215,3584,theory(equality)]) ).
cnf(3658,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[222,1976,theory(equality)]),92,theory(equality)]) ).
cnf(3660,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e13) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,3658,theory(equality)]),93,theory(equality)]) ).
cnf(3690,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[222,3660,theory(equality)]),91,theory(equality)]) ).
cnf(3738,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3658,3690,theory(equality)]),18,16,13]) ).
cnf(3740,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e13) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,3738,theory(equality)]),92,theory(equality)]) ).
cnf(3771,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[222,3740,theory(equality)]),93,theory(equality)]) ).
cnf(3773,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[224,3771,theory(equality)]),91,theory(equality)]) ).
cnf(3806,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[222,3773,theory(equality)]),94,theory(equality)]) ).
cnf(3844,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3771,3806,theory(equality)]),11]) ).
cnf(3845,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| j(e23) = e10 ),
inference('PARAMODULATE',[status(thm)],[211,3844,theory(equality)]) ).
cnf(3849,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e14) = op2(h(e11),e23) ),
inference('PARAMODULATE',[status(thm)],[117,3844,theory(equality)]) ).
cnf(3851,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e11) = op2(e23,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[113,3844,theory(equality)]) ).
cnf(3853,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e13) = op2(e23,h(e11)) ),
inference('PARAMODULATE',[status(thm)],[109,3844,theory(equality)]) ).
cnf(3878,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e14) = e22
| h(e14) = e20
| h(e14) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3585,3845,theory(equality)]),4]) ).
cnf(3960,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[230,1989,theory(equality)]),92,theory(equality)]) ).
cnf(3962,plain,
( h(e12) = e20
| h(e12) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e13) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[231,3960,theory(equality)]),93,theory(equality)]) ).
cnf(3990,plain,
( h(e12) = e20
| h(e12) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[230,3962,theory(equality)]),91,theory(equality)]) ).
cnf(4047,plain,
( h(e12) = e20
| h(e12) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3960,3990,theory(equality)]),18,16,13]) ).
cnf(4049,plain,
( h(e12) = e20
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e13) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[231,4047,theory(equality)]),92,theory(equality)]) ).
cnf(4079,plain,
( h(e12) = e20
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[230,4049,theory(equality)]),93,theory(equality)]) ).
cnf(4081,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[231,4079,theory(equality)]),91,theory(equality)]) ).
cnf(4115,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e12) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[230,4081,theory(equality)]),94,theory(equality)]) ).
cnf(4171,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4079,4115,theory(equality)]),11]) ).
cnf(4172,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| j(e23) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,4171,theory(equality)]) ).
cnf(4177,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e12) = op2(e23,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[123,4171,theory(equality)]) ).
cnf(4178,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e13) = op2(e23,h(e12)) ),
inference('PARAMODULATE',[status(thm)],[121,4171,theory(equality)]) ).
cnf(4199,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3845,4172,theory(equality)]),1]) ).
cnf(4253,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e13) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3853,4199,theory(equality)]),88,theory(equality)]) ).
cnf(4277,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,2012,theory(equality)]),92,theory(equality)]) ).
cnf(4279,plain,
( h(e13) = e20
| h(e13) = e21
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e14) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,4277,theory(equality)]),93,theory(equality)]) ).
cnf(4311,plain,
( h(e13) = e20
| h(e13) = e21
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e13) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,4279,theory(equality)]),91,theory(equality)]) ).
cnf(4367,plain,
( h(e13) = e20
| h(e13) = e21
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4277,4311,theory(equality)]),18,16,13]) ).
cnf(4369,plain,
( h(e13) = e20
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e14) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,4367,theory(equality)]),92,theory(equality)]) ).
cnf(4401,plain,
( h(e13) = e20
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,4369,theory(equality)]),93,theory(equality)]) ).
cnf(4403,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[238,4401,theory(equality)]),91,theory(equality)]) ).
cnf(4440,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e13) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,4403,theory(equality)]),94,theory(equality)]) ).
cnf(4496,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4401,4440,theory(equality)]),11]) ).
cnf(4497,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| j(e23) = e12 ),
inference('PARAMODULATE',[status(thm)],[213,4496,theory(equality)]) ).
cnf(4526,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4172,4497,theory(equality)]),5]) ).
cnf(4579,plain,
( h(e12) = e20
| h(e12) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e13) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4178,4526,theory(equality)]),88,theory(equality)]) ).
cnf(4678,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3851,4253,theory(equality)]),87,theory(equality)]) ).
cnf(4681,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e14) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3849,4678,theory(equality)]),79,theory(equality)]) ).
cnf(4730,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3878,4681,theory(equality)]),17,14,19]) ).
cnf(4732,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e13) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3853,4730,theory(equality)]),86,theory(equality)]) ).
cnf(4775,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2694,4732,theory(equality)]),20,17,14,19]) ).
cnf(4776,plain,
( h(e10) = e20
| h(e10) = e21
| j(e22) = e10 ),
inference('PARAMODULATE',[status(thm)],[211,4775,theory(equality)]) ).
cnf(4780,plain,
( h(e10) = e20
| h(e10) = e21
| h(e14) = op2(h(e11),e22) ),
inference('PARAMODULATE',[status(thm)],[117,4775,theory(equality)]) ).
cnf(4784,plain,
( h(e10) = e20
| h(e10) = e21
| h(e13) = op2(e22,h(e11)) ),
inference('PARAMODULATE',[status(thm)],[109,4775,theory(equality)]) ).
cnf(4935,plain,
( h(e12) = e20
| h(e12) = e21
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4177,4579,theory(equality)]),87,theory(equality)]) ).
cnf(4937,plain,
( h(e12) = e20
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e13) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4178,4935,theory(equality)]),87,theory(equality)]) ).
cnf(4969,plain,
( h(e12) = e20
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e12) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4177,4937,theory(equality)]),86,theory(equality)]) ).
cnf(5017,plain,
( h(e12) = e20
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4935,4969,theory(equality)]),17,14]) ).
cnf(5019,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e13) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4178,5017,theory(equality)]),86,theory(equality)]) ).
cnf(5061,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2694,5019,theory(equality)]),20,17,14,19]) ).
cnf(5062,plain,
( h(e11) = e20
| h(e11) = e21
| j(e22) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,5061,theory(equality)]) ).
cnf(5069,plain,
( h(e11) = e20
| h(e11) = e21
| h(e14) = op2(e22,h(e10)) ),
inference('PARAMODULATE',[status(thm)],[117,5061,theory(equality)]) ).
cnf(5095,plain,
( h(e11) = e20
| h(e11) = e21
| h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4776,5062,theory(equality)]),1]) ).
cnf(5159,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21
| h(e13) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4784,5095,theory(equality)]),82,theory(equality)]) ).
cnf(5203,plain,
( h(e11) = e20
| h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2694,5159,theory(equality)]),20,17,14,19]) ).
cnf(5206,plain,
( h(e10) = e20
| h(e10) = e21
| h(e14) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4780,5203,theory(equality)]),73,theory(equality)]) ).
cnf(5264,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3584,5206,theory(equality)]),20,17,14,19]) ).
cnf(5265,plain,
( h(e10) = e20
| j(e21) = e10 ),
inference('PARAMODULATE',[status(thm)],[211,5264,theory(equality)]) ).
cnf(5271,plain,
( h(e10) = e20
| h(e11) = op2(e21,h(e13)) ),
inference('PARAMODULATE',[status(thm)],[113,5264,theory(equality)]) ).
cnf(5273,plain,
( h(e10) = e20
| h(e13) = op2(e21,h(e11)) ),
inference('PARAMODULATE',[status(thm)],[109,5264,theory(equality)]) ).
cnf(5275,plain,
( h(e10) = e20
| h(e11) = e20
| h(e11) = e21
| h(e14) = e24 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5069,5264,theory(equality)]),82,theory(equality)]) ).
cnf(5462,plain,
( h(e10) = e20
| h(e11) = e20
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3584,5275,theory(equality)]),20,17,14,19]) ).
cnf(5463,plain,
( h(e10) = e20
| h(e11) = e20
| j(e21) = e11 ),
inference('PARAMODULATE',[status(thm)],[212,5462,theory(equality)]) ).
cnf(5481,plain,
( h(e10) = e20
| h(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5265,5463,theory(equality)]),1]) ).
cnf(5483,plain,
( h(e10) = e20
| h(e13) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5273,5481,theory(equality)]),76,theory(equality)]) ).
cnf(5522,plain,
( h(e10) = e20
| h(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5271,5483,theory(equality)]),78,theory(equality)]) ).
cnf(5562,plain,
h(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5481,5522,theory(equality)]),13]) ).
cnf(5564,plain,
h(e14) = op2(e20,h(e12)),
inference('REWRITE',[status(thm)],[111,5562,theory(equality)]) ).
cnf(5567,plain,
h(e14) = op2(h(e11),e20),
inference('REWRITE',[status(thm)],[117,5562,theory(equality)]) ).
cnf(5569,plain,
h(e11) = op2(h(e12),e20),
inference('REWRITE',[status(thm)],[127,5562,theory(equality)]) ).
cnf(5571,plain,
h(e12) = op2(h(e13),e20),
inference('REWRITE',[status(thm)],[137,5562,theory(equality)]) ).
cnf(5575,plain,
j(e20) = e10,
inference('REWRITE',[status(thm)],[211,5562,theory(equality)]) ).
cnf(5576,plain,
j(e23) = op1(e10,j(e21)),
inference('REWRITE',[status(thm)],[159,5575,theory(equality)]) ).
cnf(5762,plain,
( h(e13) = e21
| h(e12) = e21
| h(e11) = e21
| h(e13) = e22 ),
inference('REWRITE',[status(thm)],[829,76,11,5562,theory(equality)]) ).
cnf(5890,plain,
( h(e13) = e21
| h(e12) = e21
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5571,5762,theory(equality)]),81,theory(equality)]) ).
cnf(5892,plain,
( h(e12) = e21
| h(e11) = e21
| h(e12) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5571,5890,theory(equality)]),76,theory(equality)]) ).
cnf(5918,plain,
( h(e12) = e21
| h(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5569,5892,theory(equality)]),81,theory(equality)]) ).
cnf(5920,plain,
( h(e11) = e21
| h(e11) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5569,5918,theory(equality)]),76,theory(equality)]) ).
cnf(5921,plain,
( h(e11) = e21
| h(e14) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5564,5918,theory(equality)]),72,theory(equality)]) ).
cnf(5943,plain,
( h(e11) = e21
| h(e14) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5567,5920,theory(equality)]),81,theory(equality)]) ).
cnf(5976,plain,
h(e11) = e21,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5921,5943,theory(equality)]),16]) ).
cnf(5984,plain,
j(e21) = e11,
inference('REWRITE',[status(thm)],[212,5976,theory(equality)]) ).
cnf(5993,plain,
j(e22) = op1(j(e24),e11),
inference('REWRITE',[status(thm)],[199,5984,theory(equality)]) ).
cnf(6030,plain,
j(e23) = e13,
inference('REWRITE',[status(thm)],[5576,47,5984,theory(equality)]) ).
cnf(6033,plain,
h(e13) = e23,
inference('REWRITE',[status(thm)],[209,6030,theory(equality)]) ).
cnf(6042,plain,
h(e12) = e24,
inference('REWRITE',[status(thm)],[5571,86,6033,theory(equality)]) ).
cnf(6043,plain,
j(e24) = e12,
inference('REWRITE',[status(thm)],[213,6042,theory(equality)]) ).
cnf(6050,plain,
j(e22) = e10,
inference('REWRITE',[status(thm)],[5993,57,6043,theory(equality)]) ).
cnf(6051,plain,
$false,
inference('REWRITE',[status(thm)],[208,12,5562,6050,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG185+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 04:09:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T04:09:20
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-09T04:09:20
% 7.36/7.58
% 7.36/7.58
% 7.36/7.58 #||
% 7.36/7.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.36/7.58 % SZS output start Refutation
% See solution above
% 7.45/7.61 ||#
% 7.45/7.61
% 7.45/7.61 ; Summary of computation:
% 7.45/7.61 ; 19461 formulas have been input or derived (from 966 formulas).
% 7.45/7.61 ; 6051 (31%) were retained. Of these,
% 7.45/7.61 ; 5943 (98%) were simplified or subsumed later,
% 7.45/7.61 ; 108 ( 2%) are still being kept.
% 7.45/7.61 ;
% 7.45/7.61 ; Run time in seconds excluding printing time:
% 7.45/7.61 ; 0.013 0% Read assertion file (1 call)
% 7.45/7.61 ; 0.012 0% Assert (6 calls)
% 7.45/7.61 ; 0.652 9% Process new row (19,069 calls)
% 7.45/7.61 ; 0.023 0% Resolution (1,930 calls)
% 7.45/7.61 ; 0.866 12% Paramodulation (965 calls)
% 7.45/7.61 ; 0.013 0% Factoring (785 calls)
% 7.45/7.61 ; 0.027 0% Condensing (14,660 calls)
% 7.45/7.61 ; 2.598 37% Forward subsumption (14,660 calls)
% 7.45/7.61 ; 0.617 9% Backward subsumption (5,793 calls)
% 7.45/7.61 ; 0.218 3% Clause clause subsumption (18,993 calls)
% 7.45/7.61 ; 1.235 17% Forward simplification (17,645 calls)
% 7.45/7.61 ; 0.142 2% Backward simplification (6,001 calls)
% 7.45/7.61 ; 0.587 8% Ordering (520,867 calls)
% 7.45/7.61 ; 0.000 0% Sortal reasoning (32 calls)
% 7.45/7.61 ; 0.000 0% Purity testing (1 call)
% 7.45/7.61 ; 0.107 2% Other
% 7.45/7.61 ; 7.110 Total
% 7.45/7.61 ; 7.139 Real time
% 7.45/7.61 ;
% 7.45/7.61 ; Term-hash-array has 916 terms in all.
% 7.45/7.61 ; Feature-vector-row-index has 1 entry (2,145 at peak, 5,793 added, 5,792 deleted).
% 7.45/7.61 ; Feature-vector-row-index has 11 nodes (30,000 at peak, 75,886 added, 75,875 deleted).
% 7.45/7.61 ; Retrieved 18,270 possibly forward subsuming rows in 14,660 calls.
% 7.45/7.61 ; Retrieved 6,971 possibly backward subsumed rows in 5,793 calls.
% 7.45/7.61 ; Path-index has 181 entries (749 at peak, 1,299 added, 1,118 deleted).
% 7.45/7.61 ; Path-index has 116 nodes (170 at peak, 170 added, 54 deleted).
% 7.45/7.61 ; Trie-index has 181 entries (749 at peak, 1,299 added, 1,118 deleted).
% 7.45/7.61 ; Trie-index has 290 nodes (1,118 at peak, 1,835 added, 1,545 deleted).
% 7.45/7.61 ; Retrieved 15,232 generalization terms in 225,936 calls.
% 7.45/7.61 ; Retrieved 207 instance terms in 207 calls.
% 7.45/7.61 ; Retrieved 1,456 unifiable terms in 6,069 calls.
% 7.45/7.61 ;
% 7.45/7.61 ; The agenda of backward simplifiable rows to process has 326 entries:
% 7.45/7.61 ; 326 with value 0
% 7.45/7.61 ; The agenda of rows to process has 16 entries:
% 7.45/7.61 ; 1 with value 24 2 with value 27 2 with value 40
% 7.45/7.61 ; 1 with value 25 4 with value 28 2 with value 46
% 7.45/7.61 ; 2 with value 26 1 with value 35 1 with value 48
% 7.45/7.61 ; The agenda of input rows to give has 6 entries:
% 7.45/7.61 ; 6 with value 6
% 7.45/7.61 ; The agenda of rows to give has 3 entries:
% 7.45/7.61 ; 1 with value (4 18) 1 with value (4 32) 1 with value (4 40)
% 7.45/7.61 Evaluation took:
% 7.45/7.61 7.139 seconds of real time
% 7.45/7.61 6.410196 seconds of user run time
% 7.45/7.61 0.728054 seconds of system run time
% 7.45/7.61 [Run times include 0.397 seconds GC run time.]
% 7.45/7.61 0 calls to %EVAL
% 7.45/7.61 0 page faults and
% 7.45/7.61 684,683,008 bytes consed.
% 7.45/7.61 :PROOF-FOUND
% 7.45/7.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T04:09:27
% 7.45/7.61 :PROOF-FOUND
% 7.45/7.61 *
%------------------------------------------------------------------------------