TSTP Solution File: ALG107+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 17:59:54 EDT 2022
% Result : Theorem 9.82s 9.99s
% Output : Refutation 9.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 133
% Syntax : Number of clauses : 392 ( 192 unt; 180 nHn; 392 RR)
% Number of literals : 879 ( 878 equ; 259 neg)
% Maximal clause size : 20 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(4,axiom,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(16,axiom,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
cnf(18,axiom,
( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(23,axiom,
( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(25,axiom,
( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(28,axiom,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(30,axiom,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(36,axiom,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(37,axiom,
( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(38,axiom,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(39,axiom,
( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(40,axiom,
( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(41,axiom,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(47,axiom,
( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
cnf(49,axiom,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(51,axiom,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(55,axiom,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(60,axiom,
( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(61,axiom,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(62,axiom,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(63,axiom,
( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(64,axiom,
( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(66,axiom,
( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(69,axiom,
( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(71,axiom,
( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(73,axiom,
( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(74,axiom,
( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(78,axiom,
( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(85,axiom,
( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(90,axiom,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(92,axiom,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(96,axiom,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(97,axiom,
op1(e10,e10) != op1(e11,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(98,axiom,
op1(e10,e10) != op1(e12,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(99,axiom,
op1(e10,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(101,axiom,
op1(e11,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(102,axiom,
op1(e12,e10) != op1(e13,e10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(104,axiom,
op1(e10,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(105,axiom,
op1(e10,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(106,axiom,
op1(e11,e11) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(108,axiom,
op1(e12,e11) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(110,axiom,
op1(e10,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(111,axiom,
op1(e10,e12) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(112,axiom,
op1(e11,e12) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(114,axiom,
op1(e12,e12) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(115,axiom,
op1(e10,e13) != op1(e11,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(116,axiom,
op1(e10,e13) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(117,axiom,
op1(e10,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(119,axiom,
op1(e11,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(120,axiom,
op1(e12,e13) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(123,axiom,
op1(e10,e10) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(126,axiom,
op1(e10,e12) != op1(e10,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(128,axiom,
op1(e11,e10) != op1(e11,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(133,axiom,
op1(e12,e10) != op1(e12,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(135,axiom,
op1(e12,e10) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(136,axiom,
op1(e12,e11) != op1(e12,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(137,axiom,
op1(e12,e11) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(138,axiom,
op1(e12,e12) != op1(e12,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(139,axiom,
op1(e13,e10) != op1(e13,e11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(140,axiom,
op1(e13,e10) != op1(e13,e12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(141,axiom,
op1(e13,e10) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(143,axiom,
op1(e13,e11) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(144,axiom,
op1(e13,e12) != op1(e13,e13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
cnf(145,axiom,
op2(e20,e20) != op2(e21,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(146,axiom,
op2(e20,e20) != op2(e22,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(147,axiom,
op2(e20,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(149,axiom,
op2(e21,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(150,axiom,
op2(e22,e20) != op2(e23,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(152,axiom,
op2(e20,e21) != op2(e22,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(153,axiom,
op2(e20,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(155,axiom,
op2(e21,e21) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(157,axiom,
op2(e20,e22) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(158,axiom,
op2(e20,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(159,axiom,
op2(e20,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(160,axiom,
op2(e21,e22) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(162,axiom,
op2(e22,e22) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(163,axiom,
op2(e20,e23) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(167,axiom,
op2(e21,e23) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(169,axiom,
op2(e20,e20) != op2(e20,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(171,axiom,
op2(e20,e20) != op2(e20,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(176,axiom,
op2(e21,e20) != op2(e21,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(177,axiom,
op2(e21,e20) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(180,axiom,
op2(e21,e22) != op2(e21,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(183,axiom,
op2(e22,e20) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(184,axiom,
op2(e22,e21) != op2(e22,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(185,axiom,
op2(e22,e21) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(186,axiom,
op2(e22,e22) != op2(e22,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(187,axiom,
op2(e23,e20) != op2(e23,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(188,axiom,
op2(e23,e20) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(189,axiom,
op2(e23,e20) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(190,axiom,
op2(e23,e21) != op2(e23,e22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(191,axiom,
op2(e23,e21) != op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
cnf(193,axiom,
e10 != e11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(194,axiom,
e10 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(195,axiom,
e10 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(196,axiom,
e11 != e12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(197,axiom,
e11 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(198,axiom,
e12 != e13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
cnf(199,axiom,
e20 != e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(200,axiom,
e20 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(201,axiom,
e20 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(202,axiom,
e21 != e22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(203,axiom,
e21 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(204,axiom,
e22 != e23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
cnf(229,axiom,
( op1(e10,op1(e10,e10)) = e10
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(245,axiom,
( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(293,axiom,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(357,axiom,
( op1(e12,op1(e10,e12)) = e12
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(421,axiom,
( op1(e13,op1(e10,e13)) = e13
| op1(e10,op1(e11,e10)) = e10
| op1(e12,op1(e12,e12)) = e12
| op1(e10,op1(e13,e10)) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
cnf(485,axiom,
( op2(e20,op2(e20,e20)) = e20
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e23,e20)) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(501,axiom,
( op2(e20,op2(e20,e20)) = e20
| op2(e21,op2(e21,e21)) = e21
| op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e23,e20)) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(549,axiom,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e23,e20)) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(613,axiom,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e23,e20)) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(677,axiom,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,op2(e21,e20)) = e20
| op2(e22,op2(e22,e22)) = e22
| op2(e20,op2(e23,e20)) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
cnf(733,axiom,
op1(e12,e12) = e10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(734,axiom,
e11 = op1(e12,op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(735,plain,
op1(e12,e10) = e11,
inference('REWRITE',[status(thm)],[734,733,theory(equality)]) ).
cnf(736,axiom,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
cnf(737,plain,
op1(e11,e10) = e13,
inference('REWRITE',[status(thm)],[736,735,733,theory(equality)]) ).
cnf(738,axiom,
op2(e22,e22) = e20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(739,axiom,
e21 = op2(e22,op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(740,plain,
op2(e22,e20) = e21,
inference('REWRITE',[status(thm)],[739,738,theory(equality)]) ).
cnf(741,axiom,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
cnf(742,plain,
op2(e21,e20) = e23,
inference('REWRITE',[status(thm)],[741,740,738,theory(equality)]) ).
cnf(744,axiom,
h1(e10) = op2(e20,e20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(745,axiom,
h1(e11) = op2(e20,op2(e20,e20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
cnf(746,plain,
h1(e11) = op2(e20,h1(e10)),
inference('REWRITE',[status(thm)],[745,744,theory(equality)]) ).
cnf(749,axiom,
h2(e12) = e21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(750,axiom,
h2(e10) = op2(e21,e21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(751,axiom,
h2(e11) = op2(e21,op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(752,plain,
h2(e11) = op2(e21,h2(e10)),
inference('REWRITE',[status(thm)],[751,750,theory(equality)]) ).
cnf(753,axiom,
h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
cnf(754,plain,
h2(e13) = op2(h2(e11),h2(e10)),
inference('REWRITE',[status(thm)],[753,752,750,theory(equality)]) ).
cnf(763,axiom,
h4(e10) = op2(e23,e23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(764,axiom,
h4(e11) = op2(e23,op2(e23,e23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
cnf(765,plain,
h4(e11) = op2(e23,h4(e10)),
inference('REWRITE',[status(thm)],[764,763,theory(equality)]) ).
cnf(1007,negated_conjecture,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e12) != e21
| h2(e13) != e22
| h2(e11) != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(1008,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),e21)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),e21)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e11)) != op2(e21,h2(e11))
| h2(op1(e12,e13)) != op2(e21,h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),e21)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(e10) != e20
| h2(e13) != e22
| h2(e11) != e23 ),
inference('REWRITE',[status(thm)],[1007,750,733,752,735,754,737,749,theory(equality)]) ).
cnf(1337,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[64,763,theory(equality)]) ).
cnf(1339,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| h4(e10) = e20 ),
inference('REWRITE',[status(thm)],[90,763,theory(equality)]) ).
cnf(1341,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| h4(e10) = e21 ),
inference('REWRITE',[status(thm)],[92,763,theory(equality)]) ).
cnf(1345,plain,
( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[96,763,theory(equality)]) ).
cnf(1347,plain,
op2(e21,e23) != h4(e10),
inference('REWRITE',[status(thm)],[167,763,theory(equality)]) ).
cnf(1349,plain,
op2(e23,e20) != h4(e10),
inference('REWRITE',[status(thm)],[189,763,theory(equality)]) ).
cnf(1350,plain,
op2(e23,e21) != h4(e10),
inference('REWRITE',[status(thm)],[191,763,theory(equality)]) ).
cnf(1365,plain,
( op2(e20,e21) = e20
| h2(e10) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 ),
inference('REWRITE',[status(thm)],[74,750,theory(equality)]) ).
cnf(1367,plain,
( op2(e20,e21) = e22
| h2(e10) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 ),
inference('REWRITE',[status(thm)],[78,750,theory(equality)]) ).
cnf(1371,plain,
h2(e10) != op2(e23,e21),
inference('REWRITE',[status(thm)],[155,750,theory(equality)]) ).
cnf(1398,plain,
( h1(e10) = e20
| h1(e10) = e21
| h1(e10) = e22
| h1(e10) = e23 ),
inference('REWRITE',[status(thm)],[49,744,theory(equality)]) ).
cnf(1401,plain,
( h1(e10) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference('REWRITE',[status(thm)],[69,744,theory(equality)]) ).
cnf(1402,plain,
( h1(e10) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[71,744,theory(equality)]) ).
cnf(1403,plain,
h1(e10) != op2(e23,e20),
inference('REWRITE',[status(thm)],[147,744,theory(equality)]) ).
cnf(1404,plain,
h1(e10) != op2(e20,e21),
inference('REWRITE',[status(thm)],[169,744,theory(equality)]) ).
cnf(1406,plain,
h1(e10) != op2(e20,e23),
inference('REWRITE',[status(thm)],[171,744,theory(equality)]) ).
cnf(1431,plain,
( h2(e10) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 ),
inference('REWRITE',[status(thm)],[73,750,201,742,theory(equality)]) ).
cnf(1434,plain,
h1(e10) != e23,
inference('REWRITE',[status(thm)],[145,744,742,theory(equality)]) ).
cnf(1435,plain,
( h1(e10) = e20
| h1(e10) = e21
| h1(e10) = e22 ),
inference('REWRITE',[status(thm)],[1398,1434]) ).
cnf(1436,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 ),
inference('REWRITE',[status(thm)],[1402,1434]) ).
cnf(1437,plain,
op2(e23,e20) != e23,
inference('REWRITE',[status(thm)],[149,742,theory(equality)]) ).
cnf(1438,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[61,1437]) ).
cnf(1443,plain,
op2(e21,e22) != e23,
inference('REWRITE',[status(thm)],[176,742,theory(equality)]) ).
cnf(1444,plain,
( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[55,1443]) ).
cnf(1445,plain,
op2(e21,e23) != e23,
inference('REWRITE',[status(thm)],[177,742,theory(equality)]) ).
cnf(1447,plain,
( op2(e20,e23) = e23
| op2(e22,e23) = e23
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[1345,1445]) ).
cnf(1480,plain,
( h1(e10) = e20
| op2(e23,e20) = e20 ),
inference('REWRITE',[status(thm)],[66,199,201,742,744,740,theory(equality)]) ).
cnf(1482,plain,
h1(e10) != e21,
inference('REWRITE',[status(thm)],[146,744,740,theory(equality)]) ).
cnf(1484,plain,
( h1(e10) = e20
| h1(e10) = e22 ),
inference('REWRITE',[status(thm)],[1435,1482]) ).
cnf(1485,plain,
op2(e23,e20) != e21,
inference('REWRITE',[status(thm)],[150,740,theory(equality)]) ).
cnf(1487,plain,
( op2(e23,e20) = e20
| op2(e23,e20) = e22 ),
inference('REWRITE',[status(thm)],[1438,1485]) ).
cnf(1491,plain,
op2(e22,e23) != e21,
inference('REWRITE',[status(thm)],[183,740,theory(equality)]) ).
cnf(1492,plain,
( op2(e22,e23) = e20
| op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[60,1491]) ).
cnf(1493,plain,
( op2(e20,e23) = e21
| op2(e21,e23) = e21
| h4(e10) = e21 ),
inference('REWRITE',[status(thm)],[1341,1491]) ).
cnf(1559,plain,
( op2(e22,e21) = e22
| op2(e22,e23) = e22 ),
inference('REWRITE',[status(thm)],[85,200,202,740,738,theory(equality)]) ).
cnf(1563,plain,
op2(e20,e22) != e20,
inference('REWRITE',[status(thm)],[158,738,theory(equality)]) ).
cnf(1564,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference('REWRITE',[status(thm)],[51,1563]) ).
cnf(1566,plain,
op2(e21,e22) != e20,
inference('REWRITE',[status(thm)],[160,738,theory(equality)]) ).
cnf(1567,plain,
( h2(e10) = e20
| op2(e21,e23) = e20 ),
inference('REWRITE',[status(thm)],[1431,1566]) ).
cnf(1568,plain,
( op2(e21,e22) = e21
| op2(e21,e22) = e22 ),
inference('REWRITE',[status(thm)],[1444,1566]) ).
cnf(1569,plain,
op2(e23,e22) != e20,
inference('REWRITE',[status(thm)],[162,738,theory(equality)]) ).
cnf(1570,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[63,1569]) ).
cnf(1572,plain,
op2(e22,e21) != e20,
inference('REWRITE',[status(thm)],[184,738,theory(equality)]) ).
cnf(1573,plain,
( op2(e20,e21) = e20
| h2(e10) = e20
| op2(e23,e21) = e20 ),
inference('REWRITE',[status(thm)],[1365,1572]) ).
cnf(1575,plain,
op2(e22,e23) != e20,
inference('REWRITE',[status(thm)],[186,738,theory(equality)]) ).
cnf(1576,plain,
( op2(e20,e23) = e20
| op2(e21,e23) = e20
| h4(e10) = e20 ),
inference('REWRITE',[status(thm)],[1339,1575]) ).
cnf(1577,plain,
( op2(e22,e23) = e22
| op2(e22,e23) = e23 ),
inference('REWRITE',[status(thm)],[1492,1575]) ).
cnf(1578,plain,
( h1(e11) = e20
| op2(e20,e23) = e20
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[485,202,740,742,746,744,738,theory(equality)]) ).
cnf(1582,plain,
( h1(e11) = e20
| h2(e11) = e21
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[501,202,740,752,750,746,744,738,theory(equality)]) ).
cnf(1594,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,e23) = e20
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[549,202,740,742,738,theory(equality)]) ).
cnf(1610,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,e23) = e20
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[613,202,740,742,738,theory(equality)]) ).
cnf(1626,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,e23) = e20
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[677,202,740,742,738,theory(equality)]) ).
cnf(1642,plain,
( op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 ),
inference('REWRITE',[status(thm)],[25,195,737,theory(equality)]) ).
cnf(1645,plain,
op1(e10,e10) != e13,
inference('REWRITE',[status(thm)],[97,737,theory(equality)]) ).
cnf(1646,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12 ),
inference('REWRITE',[status(thm)],[1,1645]) ).
cnf(1647,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 ),
inference('REWRITE',[status(thm)],[23,1645]) ).
cnf(1648,plain,
op1(e13,e10) != e13,
inference('REWRITE',[status(thm)],[101,737,theory(equality)]) ).
cnf(1649,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[13,1648]) ).
cnf(1650,plain,
( op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[47,1648]) ).
cnf(1654,plain,
op1(e11,e12) != e13,
inference('REWRITE',[status(thm)],[128,737,theory(equality)]) ).
cnf(1691,plain,
( op1(e10,e10) = e10
| op1(e13,e10) = e10 ),
inference('REWRITE',[status(thm)],[18,193,195,737,735,theory(equality)]) ).
cnf(1693,plain,
op1(e10,e10) != e11,
inference('REWRITE',[status(thm)],[98,735,theory(equality)]) ).
cnf(1695,plain,
( op1(e10,e10) = e10
| op1(e10,e10) = e12 ),
inference('REWRITE',[status(thm)],[1646,1693]) ).
cnf(1696,plain,
op1(e13,e10) != e11,
inference('REWRITE',[status(thm)],[102,735,theory(equality)]) ).
cnf(1698,plain,
( op1(e13,e10) = e10
| op1(e13,e10) = e12 ),
inference('REWRITE',[status(thm)],[1649,1696]) ).
cnf(1699,plain,
op1(e12,e11) != e11,
inference('REWRITE',[status(thm)],[133,735,theory(equality)]) ).
cnf(1700,plain,
( op1(e12,e11) = e10
| op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[10,1699]) ).
cnf(1701,plain,
( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e13,e11) = e11 ),
inference('REWRITE',[status(thm)],[28,1699]) ).
cnf(1702,plain,
op1(e12,e13) != e11,
inference('REWRITE',[status(thm)],[135,735,theory(equality)]) ).
cnf(1703,plain,
( op1(e12,e13) = e10
| op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[12,1702]) ).
cnf(1769,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e13,e12) = e11 ),
inference('REWRITE',[status(thm)],[36,193,733,theory(equality)]) ).
cnf(1770,plain,
( op1(e12,e11) = e12
| op1(e12,e13) = e12 ),
inference('REWRITE',[status(thm)],[37,194,196,735,733,theory(equality)]) ).
cnf(1771,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e13,e12) = e12 ),
inference('REWRITE',[status(thm)],[38,194,733,theory(equality)]) ).
cnf(1772,plain,
( op1(e12,e11) = e13
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[39,195,197,735,733,theory(equality)]) ).
cnf(1773,plain,
( op1(e10,e12) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[40,195,1654,733,theory(equality)]) ).
cnf(1774,plain,
op1(e10,e12) != e10,
inference('REWRITE',[status(thm)],[110,733,theory(equality)]) ).
cnf(1777,plain,
op1(e11,e12) != e10,
inference('REWRITE',[status(thm)],[112,733,theory(equality)]) ).
cnf(1778,plain,
( op1(e11,e11) = e10
| op1(e11,e13) = e10 ),
inference('REWRITE',[status(thm)],[1642,1777]) ).
cnf(1780,plain,
op1(e13,e12) != e10,
inference('REWRITE',[status(thm)],[114,733,theory(equality)]) ).
cnf(1782,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e13) = e10 ),
inference('REWRITE',[status(thm)],[41,1780]) ).
cnf(1783,plain,
op1(e12,e11) != e10,
inference('REWRITE',[status(thm)],[136,733,theory(equality)]) ).
cnf(1785,plain,
( op1(e12,e11) = e12
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[1700,1783]) ).
cnf(1786,plain,
op1(e12,e13) != e10,
inference('REWRITE',[status(thm)],[138,733,theory(equality)]) ).
cnf(1788,plain,
( op1(e12,e13) = e12
| op1(e12,e13) = e13 ),
inference('REWRITE',[status(thm)],[1703,1786]) ).
cnf(1789,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e10,e13) = e10
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[229,196,735,737,733,theory(equality)]) ).
cnf(1793,plain,
( op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[245,196,735,733,theory(equality)]) ).
cnf(1805,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,e13) = e10
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[293,196,735,737,733,theory(equality)]) ).
cnf(1821,plain,
( op1(e12,op1(e10,e12)) = e12
| op1(e10,e13) = e10
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[357,196,735,737,733,theory(equality)]) ).
cnf(1837,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e10,e13) = e10
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[421,196,735,737,733,theory(equality)]) ).
cnf(1857,plain,
( h1(e10) = e20
| h1(e11) = op2(e20,e22) ),
inference('PARAMODULATE',[status(thm)],[746,1484,theory(equality)]) ).
cnf(1865,plain,
( h2(e10) = e20
| op2(e20,e23) != e20 ),
inference('PARAMODULATE',[status(thm)],[163,1567,theory(equality)]) ).
cnf(1902,plain,
( op1(e12,e11) = e12
| op1(e10,e13) != e12 ),
inference('PARAMODULATE',[status(thm)],[116,1770,theory(equality)]) ).
cnf(1905,plain,
( op1(e10,e12) = e13
| op1(e13,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[144,1773,theory(equality)]) ).
cnf(1907,plain,
( op1(e11,e11) = e10
| op1(e13,e13) != e10 ),
inference('PARAMODULATE',[status(thm)],[119,1778,theory(equality)]) ).
cnf(1908,plain,
( op1(e11,e11) = e10
| op1(e10,e13) != e10 ),
inference('PARAMODULATE',[status(thm)],[115,1778,theory(equality)]) ).
cnf(1914,plain,
( op1(e12,e11) = e12
| op1(e13,e11) != e13 ),
inference('PARAMODULATE',[status(thm)],[108,1785,theory(equality)]) ).
cnf(1940,plain,
( op2(e20,e23) = e23
| h4(e10) = e23
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1559,1447,theory(equality)]),204]) ).
cnf(1948,plain,
( op2(e20,e23) = e21
| h4(e10) = e21
| op2(e21,e22) != e21 ),
inference('PARAMODULATE',[status(thm)],[180,1493,theory(equality)]) ).
cnf(1949,plain,
( op2(e20,e23) = e21
| h4(e10) = e21
| h2(e10) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1567,1493,theory(equality)]),199]) ).
cnf(1958,plain,
( op2(e20,e23) = e20
| h4(e10) = e20
| op2(e20,e23) = e21
| h4(e10) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1493,1576,theory(equality)]),199]) ).
cnf(1990,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e23,e22) != e23 ),
inference('PARAMODULATE',[status(thm)],[159,1564,theory(equality)]) ).
cnf(2033,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e10,e12) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1773,1769,theory(equality)]),197]) ).
cnf(2063,plain,
( h1(e10) = e20
| h1(e11) = e20
| h2(e11) = e21 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1582,1480,theory(equality)]),744,theory(equality)]) ).
cnf(2084,plain,
( h1(e10) = e20
| h1(e11) = e20
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1578,1480,theory(equality)]),744,theory(equality)]) ).
cnf(2099,plain,
( h4(e10) = e20
| h4(e10) = e21
| h4(e10) = e22
| op2(e23,e21) != e23 ),
inference('PARAMODULATE',[status(thm)],[1350,1337,theory(equality)]) ).
cnf(2248,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| h4(e10) = e23
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1626,1436,theory(equality)]),201,763,theory(equality)]) ).
cnf(2249,plain,
( h1(e10) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e23,e22) = e23
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1626,1401,theory(equality)]),200]) ).
cnf(2262,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e10)) = e10
| op1(e10,e13) = e10 ),
inference('PARAMODULATE',[status(thm)],[1789,1691,theory(equality)]) ).
cnf(2302,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e13,e13) = e13
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1837,1647,theory(equality)]),195]) ).
cnf(2320,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e13,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[117,4,theory(equality)]) ).
cnf(2322,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e13,e13) = e13
| op1(e10,op1(e13,e10)) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1837,4,theory(equality)]),195]) ).
cnf(2492,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e10)) = e10
| op1(e11,op1(e11,e11)) = e11 ),
inference('PARAMODULATE',[status(thm)],[1793,1691,theory(equality)]) ).
cnf(5019,plain,
( h1(e10) = e20
| h1(e11) != e20 ),
inference('PARAMODULATE',[status(thm)],[1563,1857,theory(equality)]) ).
cnf(5062,plain,
( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e11,e11) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[1907,1782]) ).
cnf(5117,plain,
( h4(e10) = e21
| h2(e10) = e20
| op2(e23,e21) = e23
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1626,1949,theory(equality)]),199]) ).
cnf(5140,plain,
( h1(e10) = e20
| h1(e11) = e20
| h2(e10) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[1865,2084]) ).
cnf(5155,plain,
( h1(e10) = e20
| h1(e11) = e20
| h2(e11) = e23 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[752,5140,theory(equality)]),742,theory(equality)]) ).
cnf(5185,plain,
( h4(e10) = e23
| op2(e22,e21) = e22
| op2(e20,op2(e23,e20)) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1626,1940,theory(equality)]),201,763,theory(equality)]) ).
cnf(5248,plain,
( h1(e10) = e20
| h1(e11) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2063,5155,theory(equality)]),203]) ).
cnf(5249,plain,
h1(e10) = e20,
inference('HYPERRESOLVE',[status(thm)],[5019,5248]) ).
cnf(5250,plain,
op2(e20,e20) = e20,
inference('REWRITE',[status(thm)],[744,5249,theory(equality)]) ).
cnf(5254,plain,
( op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference('REWRITE',[status(thm)],[1401,200,5249,theory(equality)]) ).
cnf(5255,plain,
op2(e23,e20) != e20,
inference('REWRITE',[status(thm)],[1403,5249,theory(equality)]) ).
cnf(5256,plain,
op2(e23,e20) = e22,
inference('REWRITE',[status(thm)],[1487,5255]) ).
cnf(5257,plain,
op2(e23,e21) != e22,
inference('REWRITE',[status(thm)],[187,5256,theory(equality)]) ).
cnf(5258,plain,
( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[62,5257]) ).
cnf(5259,plain,
( op2(e20,e21) = e22
| h2(e10) = e22
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[1367,5257]) ).
cnf(5275,plain,
op2(e23,e22) != e22,
inference('REWRITE',[status(thm)],[188,5256,theory(equality)]) ).
cnf(5277,plain,
( op2(e23,e22) = e21
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[1570,5275]) ).
cnf(5294,plain,
h4(e10) != e22,
inference('REWRITE',[status(thm)],[1349,5256,theory(equality)]) ).
cnf(5298,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e23,e21) != e23 ),
inference('REWRITE',[status(thm)],[2099,5294]) ).
cnf(5318,plain,
( op2(e21,op2(e20,e21)) = e21
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[1594,1563,5256,theory(equality)]) ).
cnf(5322,plain,
( op2(e22,op2(e20,e22)) = e22
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[1610,1563,5256,theory(equality)]) ).
cnf(5326,plain,
( op2(e23,op2(e20,e23)) = e23
| op2(e20,e23) = e20 ),
inference('REWRITE',[status(thm)],[1626,1563,5256,theory(equality)]) ).
cnf(5331,plain,
( op2(e20,e21) = e23
| op2(e20,e22) = e23
| h4(e10) = e23 ),
inference('REWRITE',[status(thm)],[2248,1563,5256,theory(equality)]) ).
cnf(5348,plain,
( h4(e10) = e21
| h2(e10) = e20
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[5117,1563,5256,theory(equality)]) ).
cnf(5349,plain,
( h4(e10) = e23
| op2(e22,e21) = e22 ),
inference('REWRITE',[status(thm)],[5185,1563,5256,theory(equality)]) ).
cnf(5356,plain,
op2(e20,e21) != e20,
inference('REWRITE',[status(thm)],[1404,5249,theory(equality)]) ).
cnf(5358,plain,
( h2(e10) = e20
| op2(e23,e21) = e20 ),
inference('REWRITE',[status(thm)],[1573,5356]) ).
cnf(5369,plain,
op2(e20,e23) != e20,
inference('REWRITE',[status(thm)],[1406,5249,theory(equality)]) ).
cnf(5372,plain,
( h4(e10) = e20
| op2(e20,e23) = e21
| h4(e10) = e21 ),
inference('REWRITE',[status(thm)],[1958,5369]) ).
cnf(5382,plain,
op2(e21,op2(e20,e21)) = e21,
inference('REWRITE',[status(thm)],[5318,5369]) ).
cnf(5383,plain,
op2(e22,op2(e20,e22)) = e22,
inference('REWRITE',[status(thm)],[5322,5369]) ).
cnf(5384,plain,
op2(e23,op2(e20,e23)) = e23,
inference('REWRITE',[status(thm)],[5326,5369]) ).
cnf(5392,plain,
( op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e23,e22) = e23 ),
inference('REWRITE',[status(thm)],[2249,1563,5256,200,5249,theory(equality)]) ).
cnf(5467,plain,
( op2(e20,e21) = e22
| h2(e10) = e22
| op2(e22,e23) != e22 ),
inference('PARAMODULATE',[status(thm)],[185,5259,theory(equality)]) ).
cnf(5475,plain,
( h4(e10) = e23
| op2(e22,e23) != e22 ),
inference('PARAMODULATE',[status(thm)],[185,5349,theory(equality)]) ).
cnf(5520,plain,
( h4(e10) = e20
| h4(e10) = e21
| op2(e23,e21) = e23 ),
inference('PARAMODULATE',[status(thm)],[5384,5372,theory(equality)]) ).
cnf(5555,plain,
( op2(e20,e21) = e23
| h4(e10) = e23
| op2(e22,e23) = e22 ),
inference('PARAMODULATE',[status(thm)],[5383,5331,theory(equality)]) ).
cnf(5559,plain,
( h4(e10) = e21
| h2(e10) = e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5358,5348,theory(equality)]),201]) ).
cnf(5562,plain,
( h2(e10) = e20
| h4(e11) = op2(e23,e21) ),
inference('PARAMODULATE',[status(thm)],[765,5559,theory(equality)]) ).
cnf(5622,plain,
( h4(e10) = e20
| h4(e10) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[5298,5520]) ).
cnf(5625,plain,
( h4(e10) = e20
| op2(e21,e23) != e21 ),
inference('PARAMODULATE',[status(thm)],[1347,5622,theory(equality)]) ).
cnf(5910,plain,
( op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference('HYPERRESOLVE',[status(thm)],[1990,5392]) ).
cnf(5954,plain,
( op2(e20,e21) = e23
| h4(e10) = e23 ),
inference('HYPERRESOLVE',[status(thm)],[5475,5555]) ).
cnf(5955,plain,
( h4(e10) = e23
| op2(e21,e23) = e21 ),
inference('PARAMODULATE',[status(thm)],[5382,5954,theory(equality)]) ).
cnf(5966,plain,
( h4(e10) = e23
| h4(e10) = e20 ),
inference('HYPERRESOLVE',[status(thm)],[5625,5955]) ).
cnf(5984,plain,
h4(e10) = e20,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5622,5966,theory(equality)]),203,201]) ).
cnf(5985,plain,
op2(e23,e23) = e20,
inference('REWRITE',[status(thm)],[763,5984,theory(equality)]) ).
cnf(5986,plain,
h4(e11) = e22,
inference('REWRITE',[status(thm)],[765,5256,5984,theory(equality)]) ).
cnf(5989,plain,
h2(e10) = e20,
inference('REWRITE',[status(thm)],[5562,5257,5986,theory(equality)]) ).
cnf(5991,plain,
h2(e11) = e23,
inference('REWRITE',[status(thm)],[752,742,5989,theory(equality)]) ).
cnf(5992,plain,
h2(e13) = e22,
inference('REWRITE',[status(thm)],[754,5256,5991,5989,theory(equality)]) ).
cnf(5993,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e21)
| h2(op1(e10,e13)) != op2(e20,e22)
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != op2(e23,e21)
| h2(op1(e11,e13)) != op2(e23,e22)
| h2(op1(e12,e11)) != op2(e21,e23)
| h2(op1(e12,e13)) != op2(e21,e22)
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != op2(e22,e23)
| h2(op1(e13,e12)) != op2(e22,e21)
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[1008,738,740,5985,5992,5991,5250,5989,theory(equality)]) ).
cnf(5994,plain,
op2(e23,e21) != e20,
inference('REWRITE',[status(thm)],[1371,5989,theory(equality)]) ).
cnf(5995,plain,
( op2(e23,e21) = e21
| op2(e23,e21) = e23 ),
inference('REWRITE',[status(thm)],[5258,5994]) ).
cnf(6045,plain,
( op2(e20,e21) = e22
| op2(e22,e23) != e22 ),
inference('REWRITE',[status(thm)],[5467,200,5989,theory(equality)]) ).
cnf(6064,plain,
( op2(e20,e23) = e21
| op2(e21,e22) != e21 ),
inference('REWRITE',[status(thm)],[1948,199,5984,theory(equality)]) ).
cnf(6093,plain,
op2(e22,e21) = e22,
inference('REWRITE',[status(thm)],[5349,201,5984,theory(equality)]) ).
cnf(6094,plain,
op2(e20,e21) != e22,
inference('REWRITE',[status(thm)],[152,6093,theory(equality)]) ).
cnf(6095,plain,
( op2(e20,e22) = e22
| op2(e20,e23) = e22 ),
inference('REWRITE',[status(thm)],[5254,6094]) ).
cnf(6104,plain,
( op2(e20,e22) = e22
| op2(e20,e22) = e21 ),
inference('REWRITE',[status(thm)],[5910,6094]) ).
cnf(6110,plain,
op2(e22,e23) != e22,
inference('REWRITE',[status(thm)],[6045,6094]) ).
cnf(6111,plain,
op2(e22,e23) = e23,
inference('REWRITE',[status(thm)],[1577,6110]) ).
cnf(6124,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != op2(e20,e23)
| h2(op1(e10,e12)) != op2(e20,e21)
| h2(op1(e10,e13)) != op2(e20,e22)
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != op2(e23,e21)
| h2(op1(e11,e13)) != op2(e23,e22)
| h2(op1(e12,e11)) != op2(e21,e23)
| h2(op1(e12,e13)) != op2(e21,e22)
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[5993,6111,6093,theory(equality)]) ).
cnf(6224,plain,
op2(e20,e21) = e23,
inference('REWRITE',[status(thm)],[5954,201,5984,theory(equality)]) ).
cnf(6225,plain,
op2(e23,e21) != e23,
inference('REWRITE',[status(thm)],[153,6224,theory(equality)]) ).
cnf(6226,plain,
op2(e23,e21) = e21,
inference('REWRITE',[status(thm)],[5995,6225]) ).
cnf(6227,plain,
op2(e23,e22) != e21,
inference('REWRITE',[status(thm)],[190,6226,theory(equality)]) ).
cnf(6229,plain,
op2(e23,e22) = e23,
inference('REWRITE',[status(thm)],[5277,6227]) ).
cnf(6233,plain,
op2(e21,e23) = e21,
inference('REWRITE',[status(thm)],[5382,6224,theory(equality)]) ).
cnf(6234,plain,
op2(e20,e23) != e21,
inference('REWRITE',[status(thm)],[163,6233,theory(equality)]) ).
cnf(6235,plain,
op2(e21,e22) != e21,
inference('REWRITE',[status(thm)],[6064,6234]) ).
cnf(6236,plain,
op2(e21,e22) = e22,
inference('REWRITE',[status(thm)],[1568,6235]) ).
cnf(6237,plain,
op2(e20,e22) != e22,
inference('REWRITE',[status(thm)],[157,6236,theory(equality)]) ).
cnf(6238,plain,
op2(e20,e23) = e22,
inference('REWRITE',[status(thm)],[6095,6237]) ).
cnf(6239,plain,
op2(e20,e22) = e21,
inference('REWRITE',[status(thm)],[6104,6237]) ).
cnf(6240,plain,
( h2(op1(e10,e10)) != e20
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e23
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != e21
| h2(op1(e11,e13)) != e23
| h2(op1(e12,e11)) != e21
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e10)) != e21
| h2(op1(e13,e11)) != e23
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[6124,6236,6233,6229,6226,6239,6238,6224,theory(equality)]) ).
cnf(6400,plain,
( op1(e10,e10) = e10
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2262,1695,theory(equality)]),1774,194]) ).
cnf(6401,plain,
( op1(e10,e10) = e10
| op1(e11,e11) = e10 ),
inference('HYPERRESOLVE',[status(thm)],[1908,6400]) ).
cnf(6445,plain,
( op1(e10,e10) = e10
| op1(e10,op1(e10,e10)) = e10 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2492,6401,theory(equality)]),197,737,theory(equality)]) ).
cnf(6446,plain,
op1(e10,e10) = e10,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6445,1695,theory(equality)]),1774,194]) ).
cnf(6448,plain,
op1(e13,e10) != e10,
inference('REWRITE',[status(thm)],[99,6446,theory(equality)]) ).
cnf(6449,plain,
op1(e13,e10) = e12,
inference('REWRITE',[status(thm)],[1698,6448]) ).
cnf(6450,plain,
op1(e13,e11) != e12,
inference('REWRITE',[status(thm)],[139,6449,theory(equality)]) ).
cnf(6452,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12 ),
inference('REWRITE',[status(thm)],[30,6450]) ).
cnf(6470,plain,
op1(e13,e12) != e12,
inference('REWRITE',[status(thm)],[140,6449,theory(equality)]) ).
cnf(6471,plain,
( op1(e10,e12) = e12
| op1(e11,e12) = e12 ),
inference('REWRITE',[status(thm)],[1771,6470]) ).
cnf(6493,plain,
op1(e13,e13) != e12,
inference('REWRITE',[status(thm)],[141,6449,theory(equality)]) ).
cnf(6494,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[16,6493]) ).
cnf(6504,plain,
( op1(e11,op1(e10,e11)) = e11
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[1805,1774,6449,theory(equality)]) ).
cnf(6508,plain,
( op1(e12,op1(e10,e12)) = e12
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[1821,1774,6449,theory(equality)]) ).
cnf(6512,plain,
( op1(e13,op1(e10,e13)) = e13
| op1(e10,e13) = e10 ),
inference('REWRITE',[status(thm)],[1837,1774,6449,theory(equality)]) ).
cnf(6517,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[2302,1774,6449,theory(equality)]) ).
cnf(6518,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[2322,1774,6449,theory(equality)]) ).
cnf(6544,plain,
( op1(e13,e11) = e10
| op1(e11,e11) = e10 ),
inference('REWRITE',[status(thm)],[5062,6448]) ).
cnf(6559,plain,
op1(e10,e13) != e10,
inference('REWRITE',[status(thm)],[123,6446,theory(equality)]) ).
cnf(6569,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e13,e13) != e13 ),
inference('REWRITE',[status(thm)],[2320,6559]) ).
cnf(6575,plain,
op1(e11,op1(e10,e11)) = e11,
inference('REWRITE',[status(thm)],[6504,6559]) ).
cnf(6576,plain,
op1(e12,op1(e10,e12)) = e12,
inference('REWRITE',[status(thm)],[6508,6559]) ).
cnf(6577,plain,
op1(e13,op1(e10,e13)) = e13,
inference('REWRITE',[status(thm)],[6512,6559]) ).
cnf(6578,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e13,e13) = e13 ),
inference('REWRITE',[status(thm)],[6518,6559]) ).
cnf(6585,plain,
( h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e23
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != e21
| h2(op1(e11,e13)) != e23
| h2(op1(e12,e11)) != e21
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e11)) != e23
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[6240,749,6449,5989,6446,theory(equality)]) ).
cnf(6639,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e13) != e12 ),
inference('PARAMODULATE',[status(thm)],[137,6452,theory(equality)]) ).
cnf(6644,plain,
( op1(e10,e11) = e12
| op1(e11,e11) = e12
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e23
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != e21
| h2(op1(e11,e13)) != e23
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e11)) != e23
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6585,6452,theory(equality)]),749,theory(equality)]) ).
cnf(6658,plain,
( op1(e10,e11) = e13
| op1(e10,e12) = e13 ),
inference('HYPERRESOLVE',[status(thm)],[1905,6517]) ).
cnf(6660,plain,
( op1(e10,e11) = e13
| op1(e12,e13) = e12 ),
inference('PARAMODULATE',[status(thm)],[6576,6658,theory(equality)]) ).
cnf(6673,plain,
( op1(e10,e11) = e13
| op1(e12,e11) = e13 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1772,6660,theory(equality)]),198]) ).
cnf(6679,plain,
( op1(e10,e11) = e13
| op1(e12,e13) != e13 ),
inference('PARAMODULATE',[status(thm)],[137,6673,theory(equality)]) ).
cnf(6728,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[6569,6578]) ).
cnf(6729,plain,
( op1(e10,e13) = e11
| op1(e12,e11) = e12 ),
inference('HYPERRESOLVE',[status(thm)],[1902,6728]) ).
cnf(6739,plain,
( op1(e12,e11) = e12
| op1(e13,e11) = e13 ),
inference('PARAMODULATE',[status(thm)],[6577,6729,theory(equality)]) ).
cnf(6760,plain,
op1(e12,e11) = e12,
inference('HYPERRESOLVE',[status(thm)],[1914,6739]) ).
cnf(6761,plain,
op1(e10,e11) != e12,
inference('REWRITE',[status(thm)],[104,6760,theory(equality)]) ).
cnf(6770,plain,
( op1(e11,e11) = e12
| op1(e12,e13) != e12 ),
inference('REWRITE',[status(thm)],[6639,6761]) ).
cnf(6771,plain,
( op1(e11,e11) = e12
| h2(op1(e10,e11)) != e22
| h2(op1(e10,e12)) != e23
| h2(op1(e10,e13)) != e21
| h2(op1(e11,e11)) != e20
| h2(op1(e11,e12)) != e21
| h2(op1(e11,e13)) != e23
| h2(op1(e12,e13)) != e22
| h2(op1(e13,e11)) != e23
| h2(op1(e13,e12)) != e22
| h2(op1(e13,e13)) != e20 ),
inference('REWRITE',[status(thm)],[6644,6761]) ).
cnf(6776,plain,
op1(e11,e11) != e12,
inference('REWRITE',[status(thm)],[106,6760,theory(equality)]) ).
cnf(6785,plain,
op1(e12,e13) != e12,
inference('REWRITE',[status(thm)],[6770,6776]) ).
cnf(6786,plain,
op1(e12,e13) = e13,
inference('REWRITE',[status(thm)],[1788,6785]) ).
cnf(6795,plain,
op1(e13,e13) != e13,
inference('REWRITE',[status(thm)],[120,6786,theory(equality)]) ).
cnf(6796,plain,
( op1(e13,e11) = e13
| op1(e13,e12) = e13 ),
inference('REWRITE',[status(thm)],[1650,6795]) ).
cnf(6797,plain,
( op1(e13,e13) = e10
| op1(e13,e13) = e11 ),
inference('REWRITE',[status(thm)],[6494,6795]) ).
cnf(6798,plain,
op1(e10,e11) = e13,
inference('REWRITE',[status(thm)],[6679,6786,theory(equality)]) ).
cnf(6799,plain,
op1(e13,e11) != e13,
inference('REWRITE',[status(thm)],[105,6798,theory(equality)]) ).
cnf(6808,plain,
op1(e13,e12) = e13,
inference('REWRITE',[status(thm)],[6796,6799]) ).
cnf(6809,plain,
op1(e10,e12) != e13,
inference('REWRITE',[status(thm)],[111,6808,theory(equality)]) ).
cnf(6811,plain,
( op1(e10,e12) = e11
| op1(e11,e12) = e11 ),
inference('REWRITE',[status(thm)],[2033,6809]) ).
cnf(6822,plain,
( op1(e11,e11) = e11
| op1(e13,e11) = e11 ),
inference('REWRITE',[status(thm)],[1701,197,6798,theory(equality)]) ).
cnf(6824,plain,
op1(e11,e13) = e11,
inference('REWRITE',[status(thm)],[6575,6798,theory(equality)]) ).
cnf(6825,plain,
op1(e10,e13) != e11,
inference('REWRITE',[status(thm)],[115,6824,theory(equality)]) ).
cnf(6829,plain,
op1(e10,e13) = e12,
inference('REWRITE',[status(thm)],[6728,6825]) ).
cnf(6830,plain,
op1(e10,e12) != e12,
inference('REWRITE',[status(thm)],[126,6829,theory(equality)]) ).
cnf(6831,plain,
op1(e11,e12) = e12,
inference('REWRITE',[status(thm)],[6471,6830]) ).
cnf(6832,plain,
op1(e10,e12) = e11,
inference('REWRITE',[status(thm)],[6811,196,6831,theory(equality)]) ).
cnf(6833,plain,
op1(e13,e13) != e11,
inference('REWRITE',[status(thm)],[119,6824,theory(equality)]) ).
cnf(6834,plain,
op1(e13,e13) = e10,
inference('REWRITE',[status(thm)],[6797,6833]) ).
cnf(6835,plain,
op1(e13,e11) != e10,
inference('REWRITE',[status(thm)],[143,6834,theory(equality)]) ).
cnf(6836,plain,
op1(e11,e11) = e10,
inference('REWRITE',[status(thm)],[6544,6835]) ).
cnf(6837,plain,
op1(e13,e11) = e11,
inference('REWRITE',[status(thm)],[6822,193,6836,theory(equality)]) ).
cnf(6838,plain,
$false,
inference('REWRITE',[status(thm)],[6771,6834,6808,6837,6786,6824,6831,5989,6836,749,6829,5991,6832,5992,6798,6776,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 02:54:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T02:54:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T02:54:38
% 9.82/9.99
% 9.82/9.99
% 9.82/9.99 #||
% 9.82/9.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.82/9.99 % SZS output start Refutation
% See solution above
% 9.82/10.04 ||#
% 9.82/10.04
% 9.82/10.04 ; Summary of computation:
% 9.82/10.04 ; 16764 formulas have been input or derived (from 965 formulas).
% 9.82/10.04 ; 6838 (41%) were retained. Of these,
% 9.82/10.04 ; 6761 (99%) were simplified or subsumed later,
% 9.82/10.04 ; 77 ( 1%) are still being kept.
% 9.82/10.04 ;
% 9.82/10.04 ; Run time in seconds excluding printing time:
% 9.82/10.04 ; 0.046 0% Read assertion file (1 call)
% 9.82/10.04 ; 0.475 5% Assert (18 calls)
% 9.82/10.04 ; 1.478 16% Process new row (16,240 calls)
% 9.82/10.04 ; 0.209 2% Resolution (1,928 calls)
% 9.82/10.04 ; 0.332 3% Paramodulation (964 calls)
% 9.82/10.04 ; 0.002 0% Factoring (366 calls)
% 9.82/10.04 ; 0.015 0% Condensing (8,528 calls)
% 9.82/10.04 ; 2.542 27% Forward subsumption (8,528 calls)
% 9.82/10.04 ; 0.854 9% Backward subsumption (6,235 calls)
% 9.82/10.04 ; 0.509 5% Clause clause subsumption (34,717 calls)
% 9.82/10.04 ; 2.060 22% Forward simplification (15,976 calls)
% 9.82/10.04 ; 0.787 8% Backward simplification (6,500 calls)
% 9.82/10.04 ; 0.106 1% Ordering (77,746 calls)
% 9.82/10.04 ; 0.001 0% Sortal reasoning (32 calls)
% 9.82/10.04 ; 0.004 0% Purity testing (1 call)
% 9.82/10.04 ; 0.106 1% Other
% 9.82/10.04 ; 9.526 Total
% 9.82/10.04 ; 9.571 Real time
% 9.82/10.04 ;
% 9.82/10.04 ; Term-hash-array has 921 terms in all.
% 9.82/10.04 ; Feature-vector-row-index has 0 entries (3,632 at peak, 6,235 added, 6,235 deleted).
% 9.82/10.04 ; Feature-vector-row-index has 1 node (38,871 at peak, 63,930 added, 63,929 deleted).
% 9.82/10.04 ; Retrieved 24,309 possibly forward subsuming rows in 8,528 calls.
% 9.82/10.04 ; Retrieved 15,103 possibly backward subsumed rows in 6,235 calls.
% 9.82/10.04 ; Path-index has 132 entries (689 at peak, 1,499 added, 1,367 deleted).
% 9.82/10.04 ; Path-index has 150 nodes (282 at peak, 582 added, 432 deleted).
% 9.82/10.04 ; Trie-index has 132 entries (689 at peak, 1,499 added, 1,367 deleted).
% 9.82/10.04 ; Trie-index has 217 nodes (1,385 at peak, 3,029 added, 2,812 deleted).
% 9.82/10.04 ; Retrieved 83,592 generalization terms in 514,648 calls.
% 9.82/10.04 ; Retrieved 264 instance terms in 264 calls.
% 9.82/10.04 ; Retrieved 3,573 unifiable terms in 9,004 calls.
% 9.82/10.04 ;
% 9.82/10.04 ; The agenda of backward simplifiable rows to process has 106 entries:
% 9.82/10.04 ; 106 with value 0
% 9.82/10.04 ; The agenda of rows to process has 29 entries:
% 9.82/10.04 ; 3 with value 16 5 with value 23 7 with value 30
% 9.82/10.04 ; 7 with value 19 2 with value 24 1 with value 108
% 9.82/10.04 ; 1 with value 20 3 with value 26
% 9.82/10.04 ; The agenda of input rows to give has 6 entries:
% 9.82/10.04 ; 6 with value 7
% 9.82/10.04 ; The agenda of rows to give has 5 entries:
% 9.82/10.04 ; 1 with value (4 8) 2 with value (4 9) 2 with value (4 12)
% 9.82/10.04 Evaluation took:
% 9.82/10.04 9.571 seconds of real time
% 9.82/10.04 9.176484 seconds of user run time
% 9.82/10.04 0.394054 seconds of system run time
% 9.82/10.04 [Run times include 0.693 seconds GC run time.]
% 9.82/10.04 0 calls to %EVAL
% 9.82/10.04 0 page faults and
% 9.82/10.04 990,450,240 bytes consed.
% 9.82/10.04 :PROOF-FOUND
% 9.82/10.04 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T02:54:47
% 9.82/10.04 :PROOF-FOUND
% 9.82/10.04 *
%------------------------------------------------------------------------------