TSTP Solution File: ALG166+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG166+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 18:00:02 EDT 2022

% Result   : Theorem 185.71s 185.90s
% Output   : Refutation 185.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   55
%            Number of leaves      :  254
% Syntax   : Number of clauses     :  813 ( 445 unt; 334 nHn; 813 RR)
%            Number of literals    : 1965 (1964 equ; 686 neg)
%            Maximal clause size   :   30 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  10 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e12
    | op1(e10,e13) = e13
    | op1(e10,e13) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(5,axiom,
    ( op1(e10,e14) = e10
    | op1(e10,e14) = e11
    | op1(e10,e14) = e12
    | op1(e10,e14) = e13
    | op1(e10,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(8,axiom,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13
    | op1(e11,e12) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(9,axiom,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13
    | op1(e11,e13) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(10,axiom,
    ( op1(e11,e14) = e10
    | op1(e11,e14) = e11
    | op1(e11,e14) = e12
    | op1(e11,e14) = e13
    | op1(e11,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(12,axiom,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13
    | op1(e12,e11) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(14,axiom,
    ( op1(e12,e13) = e10
    | op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13
    | op1(e12,e13) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(15,axiom,
    ( op1(e12,e14) = e10
    | op1(e12,e14) = e11
    | op1(e12,e14) = e12
    | op1(e12,e14) = e13
    | op1(e12,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(16,axiom,
    ( op1(e13,e10) = e10
    | op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13
    | op1(e13,e10) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(17,axiom,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13
    | op1(e13,e11) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(20,axiom,
    ( op1(e13,e14) = e10
    | op1(e13,e14) = e11
    | op1(e13,e14) = e12
    | op1(e13,e14) = e13
    | op1(e13,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(21,axiom,
    ( op1(e14,e10) = e10
    | op1(e14,e10) = e11
    | op1(e14,e10) = e12
    | op1(e14,e10) = e13
    | op1(e14,e10) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(24,axiom,
    ( op1(e14,e13) = e10
    | op1(e14,e13) = e11
    | op1(e14,e13) = e12
    | op1(e14,e13) = e13
    | op1(e14,e13) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).

cnf(26,axiom,
    ( op1(e10,e10) = e10
    | op1(e10,e11) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10
    | op1(e10,e14) = e10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(28,axiom,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11
    | op1(e10,e14) = e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(36,axiom,
    ( op1(e11,e10) = e10
    | op1(e11,e11) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10
    | op1(e11,e14) = e10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(43,axiom,
    ( op1(e10,e11) = e13
    | op1(e11,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13
    | op1(e14,e11) = e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(48,axiom,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11
    | op1(e12,e14) = e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(49,axiom,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11
    | op1(e14,e12) = e11 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(50,axiom,
    ( op1(e12,e10) = e12
    | op1(e12,e11) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12
    | op1(e12,e14) = e12 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(53,axiom,
    ( op1(e10,e12) = e13
    | op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(e14,e12) = e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(55,axiom,
    ( op1(e10,e12) = e14
    | op1(e11,e12) = e14
    | op1(e12,e12) = e14
    | op1(e13,e12) = e14
    | op1(e14,e12) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(62,axiom,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e13) = e13
    | op1(e13,e14) = e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(63,axiom,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e13) = e13
    | op1(e14,e13) = e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(65,axiom,
    ( op1(e10,e13) = e14
    | op1(e11,e13) = e14
    | op1(e12,e13) = e14
    | op1(e13,e13) = e14
    | op1(e14,e13) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(72,axiom,
    ( op1(e14,e10) = e13
    | op1(e14,e11) = e13
    | op1(e14,e12) = e13
    | op1(e14,e13) = e13
    | op1(e14,e14) = e13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(74,axiom,
    ( op1(e14,e10) = e14
    | op1(e14,e11) = e14
    | op1(e14,e12) = e14
    | op1(e14,e13) = e14
    | op1(e14,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(75,axiom,
    ( op1(e10,e14) = e14
    | op1(e11,e14) = e14
    | op1(e12,e14) = e14
    | op1(e13,e14) = e14
    | op1(e14,e14) = e14 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).

cnf(76,axiom,
    op1(op1(e10,e10),op1(e10,e10)) = e10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(80,axiom,
    op1(op1(e14,e10),op1(e10,e14)) = e10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(83,axiom,
    op1(op1(e12,e11),op1(e11,e12)) = e11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(84,axiom,
    op1(op1(e13,e11),op1(e11,e13)) = e11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(85,axiom,
    op1(op1(e14,e11),op1(e11,e14)) = e11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(87,axiom,
    op1(op1(e11,e12),op1(e12,e11)) = e12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(88,axiom,
    op1(op1(e12,e12),op1(e12,e12)) = e12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(91,axiom,
    op1(op1(e10,e13),op1(e13,e10)) = e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(92,axiom,
    op1(op1(e11,e13),op1(e13,e11)) = e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(93,axiom,
    op1(op1(e12,e13),op1(e13,e12)) = e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(95,axiom,
    op1(op1(e14,e13),op1(e13,e14)) = e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(96,axiom,
    op1(op1(e10,e14),op1(e14,e10)) = e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(97,axiom,
    op1(op1(e11,e14),op1(e14,e11)) = e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(98,axiom,
    op1(op1(e12,e14),op1(e14,e12)) = e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(99,axiom,
    op1(op1(e13,e14),op1(e14,e13)) = e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(100,axiom,
    op1(op1(e14,e14),op1(e14,e14)) = e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).

cnf(105,axiom,
    ( op2(e20,e24) = e20
    | op2(e20,e24) = e21
    | op2(e20,e24) = e22
    | op2(e20,e24) = e23
    | op2(e20,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(106,axiom,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23
    | op2(e21,e20) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(109,axiom,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23
    | op2(e21,e23) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(111,axiom,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22
    | op2(e22,e20) = e23
    | op2(e22,e20) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(112,axiom,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23
    | op2(e22,e21) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(114,axiom,
    ( op2(e22,e23) = e20
    | op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23
    | op2(e22,e23) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(115,axiom,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e21
    | op2(e22,e24) = e22
    | op2(e22,e24) = e23
    | op2(e22,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(117,axiom,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23
    | op2(e23,e21) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(120,axiom,
    ( op2(e23,e24) = e20
    | op2(e23,e24) = e21
    | op2(e23,e24) = e22
    | op2(e23,e24) = e23
    | op2(e23,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(121,axiom,
    ( op2(e24,e20) = e20
    | op2(e24,e20) = e21
    | op2(e24,e20) = e22
    | op2(e24,e20) = e23
    | op2(e24,e20) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(123,axiom,
    ( op2(e24,e22) = e20
    | op2(e24,e22) = e21
    | op2(e24,e22) = e22
    | op2(e24,e22) = e23
    | op2(e24,e22) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(124,axiom,
    ( op2(e24,e23) = e20
    | op2(e24,e23) = e21
    | op2(e24,e23) = e22
    | op2(e24,e23) = e23
    | op2(e24,e23) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).

cnf(127,axiom,
    ( op2(e20,e20) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20
    | op2(e24,e20) = e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(128,axiom,
    ( op2(e20,e20) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21
    | op2(e20,e24) = e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(134,axiom,
    ( op2(e20,e20) = e24
    | op2(e20,e21) = e24
    | op2(e20,e22) = e24
    | op2(e20,e23) = e24
    | op2(e20,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(138,axiom,
    ( op2(e21,e20) = e21
    | op2(e21,e21) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | op2(e21,e24) = e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(139,axiom,
    ( op2(e20,e21) = e21
    | op2(e21,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21
    | op2(e24,e21) = e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(140,axiom,
    ( op2(e21,e20) = e22
    | op2(e21,e21) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22
    | op2(e21,e24) = e22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(142,axiom,
    ( op2(e21,e20) = e23
    | op2(e21,e21) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23
    | op2(e21,e24) = e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(147,axiom,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | op2(e22,e22) = e20
    | op2(e23,e22) = e20
    | op2(e24,e22) = e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(149,axiom,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | op2(e22,e22) = e21
    | op2(e23,e22) = e21
    | op2(e24,e22) = e21 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(151,axiom,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | op2(e22,e22) = e22
    | op2(e23,e22) = e22
    | op2(e24,e22) = e22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(153,axiom,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | op2(e22,e22) = e23
    | op2(e23,e22) = e23
    | op2(e24,e22) = e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(154,axiom,
    ( op2(e22,e20) = e24
    | op2(e22,e21) = e24
    | op2(e22,e22) = e24
    | op2(e22,e23) = e24
    | op2(e22,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(162,axiom,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e23) = e23
    | op2(e23,e24) = e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(165,axiom,
    ( op2(e20,e23) = e24
    | op2(e21,e23) = e24
    | op2(e22,e23) = e24
    | op2(e23,e23) = e24
    | op2(e24,e23) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(167,axiom,
    ( op2(e20,e24) = e20
    | op2(e21,e24) = e20
    | op2(e22,e24) = e20
    | op2(e23,e24) = e20
    | op2(e24,e24) = e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(171,axiom,
    ( op2(e20,e24) = e22
    | op2(e21,e24) = e22
    | op2(e22,e24) = e22
    | op2(e23,e24) = e22
    | op2(e24,e24) = e22 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(172,axiom,
    ( op2(e24,e20) = e23
    | op2(e24,e21) = e23
    | op2(e24,e22) = e23
    | op2(e24,e23) = e23
    | op2(e24,e24) = e23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(174,axiom,
    ( op2(e24,e20) = e24
    | op2(e24,e21) = e24
    | op2(e24,e22) = e24
    | op2(e24,e23) = e24
    | op2(e24,e24) = e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).

cnf(176,axiom,
    op2(op2(e20,e20),op2(e20,e20)) = e20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(177,axiom,
    op2(op2(e21,e20),op2(e20,e21)) = e20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(178,axiom,
    op2(op2(e22,e20),op2(e20,e22)) = e20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(180,axiom,
    op2(op2(e24,e20),op2(e20,e24)) = e20,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(181,axiom,
    op2(op2(e20,e21),op2(e21,e20)) = e21,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(184,axiom,
    op2(op2(e23,e21),op2(e21,e23)) = e21,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(192,axiom,
    op2(op2(e21,e23),op2(e23,e21)) = e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(194,axiom,
    op2(op2(e23,e23),op2(e23,e23)) = e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(197,axiom,
    op2(op2(e21,e24),op2(e24,e21)) = e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(198,axiom,
    op2(op2(e22,e24),op2(e24,e22)) = e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(199,axiom,
    op2(op2(e23,e24),op2(e24,e23)) = e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(200,axiom,
    op2(op2(e24,e24),op2(e24,e24)) = e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).

cnf(203,axiom,
    op1(e10,e10) != op1(e13,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(204,axiom,
    op1(e10,e10) != op1(e14,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(205,axiom,
    op1(e11,e10) != op1(e12,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(209,axiom,
    op1(e12,e10) != op1(e14,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(210,axiom,
    op1(e13,e10) != op1(e14,e10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(212,axiom,
    op1(e10,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(213,axiom,
    op1(e10,e11) != op1(e13,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(214,axiom,
    op1(e10,e11) != op1(e14,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(215,axiom,
    op1(e11,e11) != op1(e12,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(216,axiom,
    op1(e11,e11) != op1(e13,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(217,axiom,
    op1(e11,e11) != op1(e14,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(218,axiom,
    op1(e12,e11) != op1(e13,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(219,axiom,
    op1(e12,e11) != op1(e14,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(220,axiom,
    op1(e13,e11) != op1(e14,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(221,axiom,
    op1(e10,e12) != op1(e11,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(224,axiom,
    op1(e10,e12) != op1(e14,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(225,axiom,
    op1(e11,e12) != op1(e12,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(226,axiom,
    op1(e11,e12) != op1(e13,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(231,axiom,
    op1(e10,e13) != op1(e11,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(232,axiom,
    op1(e10,e13) != op1(e12,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(233,axiom,
    op1(e10,e13) != op1(e13,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(235,axiom,
    op1(e11,e13) != op1(e12,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(236,axiom,
    op1(e11,e13) != op1(e13,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(238,axiom,
    op1(e12,e13) != op1(e13,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(239,axiom,
    op1(e12,e13) != op1(e14,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(242,axiom,
    op1(e10,e14) != op1(e12,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(244,axiom,
    op1(e10,e14) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(245,axiom,
    op1(e11,e14) != op1(e12,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(246,axiom,
    op1(e11,e14) != op1(e13,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(247,axiom,
    op1(e11,e14) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(248,axiom,
    op1(e12,e14) != op1(e13,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(249,axiom,
    op1(e12,e14) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(250,axiom,
    op1(e13,e14) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(252,axiom,
    op1(e10,e10) != op1(e10,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(253,axiom,
    op1(e10,e10) != op1(e10,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(254,axiom,
    op1(e10,e10) != op1(e10,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(256,axiom,
    op1(e10,e11) != op1(e10,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(257,axiom,
    op1(e10,e11) != op1(e10,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(258,axiom,
    op1(e10,e12) != op1(e10,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(260,axiom,
    op1(e10,e13) != op1(e10,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(262,axiom,
    op1(e11,e10) != op1(e11,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(265,axiom,
    op1(e11,e11) != op1(e11,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(266,axiom,
    op1(e11,e11) != op1(e11,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(267,axiom,
    op1(e11,e11) != op1(e11,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(269,axiom,
    op1(e11,e12) != op1(e11,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(270,axiom,
    op1(e11,e13) != op1(e11,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(276,axiom,
    op1(e12,e11) != op1(e12,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(280,axiom,
    op1(e12,e13) != op1(e12,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(282,axiom,
    op1(e13,e10) != op1(e13,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(283,axiom,
    op1(e13,e10) != op1(e13,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(284,axiom,
    op1(e13,e10) != op1(e13,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(285,axiom,
    op1(e13,e11) != op1(e13,e12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(290,axiom,
    op1(e13,e13) != op1(e13,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(291,axiom,
    op1(e14,e10) != op1(e14,e11),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(293,axiom,
    op1(e14,e10) != op1(e14,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(294,axiom,
    op1(e14,e10) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(296,axiom,
    op1(e14,e11) != op1(e14,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(298,axiom,
    op1(e14,e12) != op1(e14,e13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(299,axiom,
    op1(e14,e12) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(300,axiom,
    op1(e14,e13) != op1(e14,e14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).

cnf(301,axiom,
    op2(e20,e20) != op2(e21,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(302,axiom,
    op2(e20,e20) != op2(e22,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(303,axiom,
    op2(e20,e20) != op2(e23,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(304,axiom,
    op2(e20,e20) != op2(e24,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(305,axiom,
    op2(e21,e20) != op2(e22,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(308,axiom,
    op2(e22,e20) != op2(e23,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(309,axiom,
    op2(e22,e20) != op2(e24,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(310,axiom,
    op2(e23,e20) != op2(e24,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(311,axiom,
    op2(e20,e21) != op2(e21,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(312,axiom,
    op2(e20,e21) != op2(e22,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(313,axiom,
    op2(e20,e21) != op2(e23,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(315,axiom,
    op2(e21,e21) != op2(e22,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(316,axiom,
    op2(e21,e21) != op2(e23,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(317,axiom,
    op2(e21,e21) != op2(e24,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(318,axiom,
    op2(e22,e21) != op2(e23,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(319,axiom,
    op2(e22,e21) != op2(e24,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(320,axiom,
    op2(e23,e21) != op2(e24,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(324,axiom,
    op2(e20,e22) != op2(e24,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(330,axiom,
    op2(e23,e22) != op2(e24,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(331,axiom,
    op2(e20,e23) != op2(e21,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(332,axiom,
    op2(e20,e23) != op2(e22,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(335,axiom,
    op2(e21,e23) != op2(e22,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(336,axiom,
    op2(e21,e23) != op2(e23,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(337,axiom,
    op2(e21,e23) != op2(e24,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(338,axiom,
    op2(e22,e23) != op2(e23,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(339,axiom,
    op2(e22,e23) != op2(e24,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(342,axiom,
    op2(e20,e24) != op2(e22,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(344,axiom,
    op2(e20,e24) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(345,axiom,
    op2(e21,e24) != op2(e22,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(346,axiom,
    op2(e21,e24) != op2(e23,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(347,axiom,
    op2(e21,e24) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(348,axiom,
    op2(e22,e24) != op2(e23,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(349,axiom,
    op2(e22,e24) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(350,axiom,
    op2(e23,e24) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(352,axiom,
    op2(e20,e20) != op2(e20,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(354,axiom,
    op2(e20,e20) != op2(e20,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(355,axiom,
    op2(e20,e21) != op2(e20,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(357,axiom,
    op2(e20,e21) != op2(e20,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(358,axiom,
    op2(e20,e22) != op2(e20,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(359,axiom,
    op2(e20,e22) != op2(e20,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(361,axiom,
    op2(e21,e20) != op2(e21,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(363,axiom,
    op2(e21,e20) != op2(e21,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(366,axiom,
    op2(e21,e21) != op2(e21,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(368,axiom,
    op2(e21,e22) != op2(e21,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(369,axiom,
    op2(e21,e22) != op2(e21,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(370,axiom,
    op2(e21,e23) != op2(e21,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(371,axiom,
    op2(e22,e20) != op2(e22,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(374,axiom,
    op2(e22,e20) != op2(e22,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(380,axiom,
    op2(e22,e23) != op2(e22,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(383,axiom,
    op2(e23,e20) != op2(e23,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(384,axiom,
    op2(e23,e20) != op2(e23,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(385,axiom,
    op2(e23,e21) != op2(e23,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(388,axiom,
    op2(e23,e22) != op2(e23,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(389,axiom,
    op2(e23,e22) != op2(e23,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(390,axiom,
    op2(e23,e23) != op2(e23,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(391,axiom,
    op2(e24,e20) != op2(e24,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(392,axiom,
    op2(e24,e20) != op2(e24,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(394,axiom,
    op2(e24,e20) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(395,axiom,
    op2(e24,e21) != op2(e24,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(396,axiom,
    op2(e24,e21) != op2(e24,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(397,axiom,
    op2(e24,e21) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(398,axiom,
    op2(e24,e22) != op2(e24,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(399,axiom,
    op2(e24,e22) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(400,axiom,
    op2(e24,e23) != op2(e24,e24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).

cnf(403,axiom,
    e10 != e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(404,axiom,
    e10 != e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(405,axiom,
    e11 != e12,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(406,axiom,
    e11 != e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(407,axiom,
    e11 != e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(408,axiom,
    e12 != e13,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(409,axiom,
    e12 != e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(410,axiom,
    e13 != e14,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).

cnf(411,axiom,
    e20 != e21,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(412,axiom,
    e20 != e22,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(413,axiom,
    e20 != e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(414,axiom,
    e20 != e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(415,axiom,
    e21 != e22,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(416,axiom,
    e21 != e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(417,axiom,
    e21 != e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(418,axiom,
    e22 != e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(419,axiom,
    e22 != e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(420,axiom,
    e23 != e24,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).

cnf(1516,axiom,
    ( op1(e11,e10) != e11
    | op1(e13,e11) != e13
    | op1(e12,e12) != e12
    | op1(e14,e13) != e14
    | op1(e10,e14) != e10 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).

cnf(4641,axiom,
    ( op2(e21,e20) != e21
    | op2(e23,e21) != e23
    | op2(e22,e22) != e22
    | op2(e24,e23) != e24
    | op2(e20,e24) != e20 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).

cnf(6696,axiom,
    e10 = op1(e14,op1(e14,e14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

cnf(6697,axiom,
    op1(e14,e14) = e11,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

cnf(6698,axiom,
    e12 = op1(op1(e14,op1(e14,e14)),op1(e14,e14)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

cnf(6699,plain,
    e12 = op1(op1(e14,e11),e11),
    inference('REWRITE',[status(thm)],[6698,6697,theory(equality)]) ).

cnf(6700,axiom,
    e13 = op1(op1(e14,op1(e14,e14)),op1(e14,op1(e14,e14))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).

cnf(6701,plain,
    e13 = op1(op1(e14,e11),op1(e14,e11)),
    inference('REWRITE',[status(thm)],[6700,6697,theory(equality)]) ).

cnf(6702,axiom,
    e20 = op2(e24,op2(e24,e24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

cnf(6703,axiom,
    op2(e24,e24) = e21,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

cnf(6704,axiom,
    e22 = op2(op2(e24,op2(e24,e24)),op2(e24,e24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

cnf(6705,plain,
    e22 = op2(op2(e24,e21),e21),
    inference('REWRITE',[status(thm)],[6704,6703,theory(equality)]) ).

cnf(6706,axiom,
    e23 = op2(op2(e24,op2(e24,e24)),op2(e24,op2(e24,e24))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).

cnf(6707,plain,
    e23 = op2(op2(e24,e21),op2(e24,e21)),
    inference('REWRITE',[status(thm)],[6706,6703,theory(equality)]) ).

cnf(6709,axiom,
    h1(e10) = op2(e20,op2(e20,e20)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

cnf(6710,axiom,
    h1(e11) = op2(e20,e20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

cnf(6711,axiom,
    h1(e12) = op2(op2(e20,op2(e20,e20)),op2(e20,e20)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).

cnf(6712,plain,
    h1(e12) = op2(op2(e20,h1(e11)),h1(e11)),
    inference('REWRITE',[status(thm)],[6711,6710,theory(equality)]) ).

cnf(6716,axiom,
    h2(e10) = op2(e21,op2(e21,e21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

cnf(6717,axiom,
    h2(e11) = op2(e21,e21),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

cnf(6718,axiom,
    h2(e12) = op2(op2(e21,op2(e21,e21)),op2(e21,e21)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).

cnf(6719,plain,
    h2(e12) = op2(op2(e21,h2(e11)),h2(e11)),
    inference('REWRITE',[status(thm)],[6718,6717,theory(equality)]) ).

cnf(6724,axiom,
    h3(e11) = op2(e22,e22),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).

cnf(6729,axiom,
    h4(e14) = e23,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

cnf(6730,axiom,
    h4(e10) = op2(e23,op2(e23,e23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

cnf(6731,axiom,
    h4(e11) = op2(e23,e23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

cnf(6732,axiom,
    h4(e12) = op2(op2(e23,op2(e23,e23)),op2(e23,e23)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

cnf(6733,plain,
    h4(e12) = op2(op2(e23,h4(e11)),h4(e11)),
    inference('REWRITE',[status(thm)],[6732,6731,theory(equality)]) ).

cnf(6734,axiom,
    h4(e13) = op2(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).

cnf(6735,plain,
    h4(e13) = op2(op2(e23,h4(e11)),op2(e23,h4(e11))),
    inference('REWRITE',[status(thm)],[6734,6731,theory(equality)]) ).

cnf(6737,axiom,
    h5(e10) = op2(e24,op2(e24,e24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

cnf(6738,plain,
    h5(e10) = op2(e24,e21),
    inference('REWRITE',[status(thm)],[6737,6703,theory(equality)]) ).

cnf(6741,axiom,
    h5(e12) = op2(op2(e24,op2(e24,e24)),op2(e24,e24)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

cnf(6742,plain,
    h5(e12) = op2(h5(e10),e21),
    inference('REWRITE',[status(thm)],[6741,6738,6703,theory(equality)]) ).

cnf(6743,axiom,
    h5(e13) = op2(op2(e24,op2(e24,e24)),op2(e24,op2(e24,e24))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).

cnf(6744,plain,
    h5(e13) = op2(h5(e10),h5(e10)),
    inference('REWRITE',[status(thm)],[6743,6738,6703,theory(equality)]) ).

cnf(15657,negated_conjecture,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),h4(e14))
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e11,e14)) != op2(h4(e11),h4(e14))
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),h4(e14))
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),h4(e14))
    | h4(op1(e14,e10)) != op2(h4(e14),h4(e10))
    | h4(op1(e14,e11)) != op2(h4(e14),h4(e11))
    | h4(op1(e14,e12)) != op2(h4(e14),h4(e12))
    | h4(op1(e14,e13)) != op2(h4(e14),h4(e13))
    | h4(op1(e14,e14)) != op2(h4(e14),h4(e14))
    | h4(e11) != e20
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e14) != e23
    | h4(e10) != e24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(15658,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e11,e14)) != op2(h4(e11),e23)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != op2(e23,h4(e11))
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e11) != e20
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[15657,6731,6697,6729,theory(equality)]) ).

cnf(17635,plain,
    op2(op2(e21,e24),h5(e10)) = e24,
    inference('REWRITE',[status(thm)],[197,6738,theory(equality)]) ).

cnf(17637,plain,
    op2(e22,e21) != h5(e10),
    inference('REWRITE',[status(thm)],[319,6738,theory(equality)]) ).

cnf(17638,plain,
    op2(e23,e21) != h5(e10),
    inference('REWRITE',[status(thm)],[320,6738,theory(equality)]) ).

cnf(17639,plain,
    op2(e24,e20) != h5(e10),
    inference('REWRITE',[status(thm)],[391,6738,theory(equality)]) ).

cnf(17640,plain,
    h5(e10) != op2(e24,e22),
    inference('REWRITE',[status(thm)],[395,6738,theory(equality)]) ).

cnf(17641,plain,
    h5(e10) != op2(e24,e23),
    inference('REWRITE',[status(thm)],[396,6738,theory(equality)]) ).

cnf(17898,plain,
    h5(e12) = e22,
    inference('REWRITE',[status(thm)],[6705,6742,6738,theory(equality)]) ).

cnf(17899,plain,
    e22 = op2(h5(e10),e21),
    inference('REWRITE',[status(thm)],[6742,17898,theory(equality)]) ).

cnf(17908,plain,
    h5(e13) = e23,
    inference('REWRITE',[status(thm)],[6707,6744,6738,theory(equality)]) ).

cnf(17909,plain,
    e23 = op2(h5(e10),h5(e10)),
    inference('REWRITE',[status(thm)],[6744,17908,theory(equality)]) ).

cnf(17919,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | h4(e11) = e23
    | op2(e23,e24) = e23 ),
    inference('REWRITE',[status(thm)],[162,6731,theory(equality)]) ).

cnf(17922,plain,
    ( op2(e20,e23) = e24
    | op2(e21,e23) = e24
    | op2(e22,e23) = e24
    | h4(e11) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[165,6731,theory(equality)]) ).

cnf(17923,plain,
    op2(h4(e11),h4(e11)) = e23,
    inference('REWRITE',[status(thm)],[194,6731,theory(equality)]) ).

cnf(18044,plain,
    ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
    | h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != e23
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e11,e14)) != op2(h4(e11),e23)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != op2(e23,h4(e11))
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e11) != e20
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[15658,17923,theory(equality)]) ).

cnf(18181,plain,
    op2(e21,e23) != h4(e11),
    inference('REWRITE',[status(thm)],[336,6731,theory(equality)]) ).

cnf(18182,plain,
    op2(e22,e23) != h4(e11),
    inference('REWRITE',[status(thm)],[338,6731,theory(equality)]) ).

cnf(18184,plain,
    op2(e23,e20) != h4(e11),
    inference('REWRITE',[status(thm)],[383,6731,theory(equality)]) ).

cnf(18186,plain,
    op2(e23,e22) != h4(e11),
    inference('REWRITE',[status(thm)],[388,6731,theory(equality)]) ).

cnf(18187,plain,
    h4(e11) != op2(e23,e24),
    inference('REWRITE',[status(thm)],[390,6731,theory(equality)]) ).

cnf(18444,plain,
    h4(e10) = op2(e23,h4(e11)),
    inference('REWRITE',[status(thm)],[6730,6731,theory(equality)]) ).

cnf(18445,plain,
    h4(e12) = op2(h4(e10),h4(e11)),
    inference('REWRITE',[status(thm)],[6733,18444,theory(equality)]) ).

cnf(18446,plain,
    h4(e13) = op2(h4(e10),h4(e10)),
    inference('REWRITE',[status(thm)],[6735,18444,theory(equality)]) ).

cnf(18567,plain,
    ( h4(op1(e10,e10)) != h4(e13)
    | h4(op1(e10,e11)) != h4(e12)
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
    | h4(op1(e11,e11)) != e23
    | h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
    | h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
    | h4(op1(e11,e14)) != op2(h4(e11),e23)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != h4(e10)
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e11) != e20
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[18044,18445,18446,18444,theory(equality)]) ).

cnf(18705,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | h3(e11) = e20
    | op2(e23,e22) = e20
    | op2(e24,e22) = e20 ),
    inference('REWRITE',[status(thm)],[147,6724,theory(equality)]) ).

cnf(18707,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | h3(e11) = e21
    | op2(e23,e22) = e21
    | op2(e24,e22) = e21 ),
    inference('REWRITE',[status(thm)],[149,6724,theory(equality)]) ).

cnf(18709,plain,
    ( op2(e20,e22) = e22
    | op2(e21,e22) = e22
    | h3(e11) = e22
    | op2(e23,e22) = e22
    | op2(e24,e22) = e22 ),
    inference('REWRITE',[status(thm)],[151,6724,theory(equality)]) ).

cnf(18711,plain,
    ( op2(e20,e22) = e23
    | op2(e21,e22) = e23
    | h3(e11) = e23
    | op2(e23,e22) = e23
    | op2(e24,e22) = e23 ),
    inference('REWRITE',[status(thm)],[153,6724,theory(equality)]) ).

cnf(18712,plain,
    ( op2(e22,e20) = e24
    | op2(e22,e21) = e24
    | h3(e11) = e24
    | op2(e22,e23) = e24
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[154,6724,theory(equality)]) ).

cnf(19035,plain,
    ( op2(e21,e20) != e21
    | op2(e23,e21) != e23
    | h3(e11) != e22
    | op2(e24,e23) != e24
    | op2(e20,e24) != e20 ),
    inference('REWRITE',[status(thm)],[4641,6724,theory(equality)]) ).

cnf(19561,plain,
    ( op2(e21,e20) = e21
    | h2(e11) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | op2(e21,e24) = e21 ),
    inference('REWRITE',[status(thm)],[138,6717,theory(equality)]) ).

cnf(19562,plain,
    ( op2(e20,e21) = e21
    | h2(e11) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21
    | h5(e10) = e21 ),
    inference('REWRITE',[status(thm)],[139,6738,6717,theory(equality)]) ).

cnf(19563,plain,
    ( op2(e21,e20) = e22
    | h2(e11) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22
    | op2(e21,e24) = e22 ),
    inference('REWRITE',[status(thm)],[140,6717,theory(equality)]) ).

cnf(19565,plain,
    ( op2(e21,e20) = e23
    | h2(e11) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23
    | op2(e21,e24) = e23 ),
    inference('REWRITE',[status(thm)],[142,6717,theory(equality)]) ).

cnf(19826,plain,
    op2(e20,e21) != h2(e11),
    inference('REWRITE',[status(thm)],[311,6717,theory(equality)]) ).

cnf(19827,plain,
    h2(e11) != op2(e22,e21),
    inference('REWRITE',[status(thm)],[315,6717,theory(equality)]) ).

cnf(19828,plain,
    h2(e11) != op2(e23,e21),
    inference('REWRITE',[status(thm)],[316,6717,theory(equality)]) ).

cnf(19829,plain,
    h2(e11) != h5(e10),
    inference('REWRITE',[status(thm)],[317,6738,6717,theory(equality)]) ).

cnf(19830,plain,
    op2(e21,e20) != h2(e11),
    inference('REWRITE',[status(thm)],[361,6717,theory(equality)]) ).

cnf(19832,plain,
    h2(e11) != op2(e21,e23),
    inference('REWRITE',[status(thm)],[366,6717,theory(equality)]) ).

cnf(20234,plain,
    h2(e10) = op2(e21,h2(e11)),
    inference('REWRITE',[status(thm)],[6716,6717,theory(equality)]) ).

cnf(20235,plain,
    h2(e12) = op2(h2(e10),h2(e11)),
    inference('REWRITE',[status(thm)],[6719,20234,theory(equality)]) ).

cnf(20495,plain,
    ( h1(e11) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20
    | op2(e24,e20) = e20 ),
    inference('REWRITE',[status(thm)],[127,6710,theory(equality)]) ).

cnf(20496,plain,
    ( h1(e11) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21
    | op2(e20,e24) = e21 ),
    inference('REWRITE',[status(thm)],[128,6710,theory(equality)]) ).

cnf(20502,plain,
    ( h1(e11) = e24
    | op2(e20,e21) = e24
    | op2(e20,e22) = e24
    | op2(e20,e23) = e24
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[134,6710,theory(equality)]) ).

cnf(20504,plain,
    op2(h1(e11),h1(e11)) = e20,
    inference('REWRITE',[status(thm)],[176,6710,theory(equality)]) ).

cnf(20761,plain,
    h1(e11) != op2(e21,e20),
    inference('REWRITE',[status(thm)],[301,6710,theory(equality)]) ).

cnf(20762,plain,
    h1(e11) != op2(e22,e20),
    inference('REWRITE',[status(thm)],[302,6710,theory(equality)]) ).

cnf(20763,plain,
    h1(e11) != op2(e23,e20),
    inference('REWRITE',[status(thm)],[303,6710,theory(equality)]) ).

cnf(20764,plain,
    h1(e11) != op2(e24,e20),
    inference('REWRITE',[status(thm)],[304,6710,theory(equality)]) ).

cnf(20766,plain,
    h1(e11) != op2(e20,e22),
    inference('REWRITE',[status(thm)],[352,6710,theory(equality)]) ).

cnf(20768,plain,
    h1(e11) != op2(e20,e24),
    inference('REWRITE',[status(thm)],[354,6710,theory(equality)]) ).

cnf(21269,plain,
    h1(e10) = op2(e20,h1(e11)),
    inference('REWRITE',[status(thm)],[6709,6710,theory(equality)]) ).

cnf(21270,plain,
    h1(e12) = op2(h1(e10),h1(e11)),
    inference('REWRITE',[status(thm)],[6712,21269,theory(equality)]) ).

cnf(21529,plain,
    ( op2(e20,e24) = e20
    | op2(e21,e24) = e20
    | op2(e22,e24) = e20
    | op2(e23,e24) = e20 ),
    inference('REWRITE',[status(thm)],[167,411,6703,theory(equality)]) ).

cnf(21531,plain,
    ( op2(e20,e24) = e22
    | op2(e21,e24) = e22
    | op2(e22,e24) = e22
    | op2(e23,e24) = e22 ),
    inference('REWRITE',[status(thm)],[171,415,6703,theory(equality)]) ).

cnf(21532,plain,
    ( op2(e24,e20) = e23
    | h5(e10) = e23
    | op2(e24,e22) = e23
    | op2(e24,e23) = e23 ),
    inference('REWRITE',[status(thm)],[172,416,6738,6703,theory(equality)]) ).

cnf(21534,plain,
    ( op2(e24,e20) = e24
    | h5(e10) = e24
    | op2(e24,e22) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[174,417,6738,6703,theory(equality)]) ).

cnf(21536,plain,
    h2(e11) = e24,
    inference('REWRITE',[status(thm)],[200,6717,6703,theory(equality)]) ).

cnf(21537,plain,
    op2(e21,e21) = e24,
    inference('REWRITE',[status(thm)],[6717,21536,theory(equality)]) ).

cnf(21541,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | op2(e21,e24) = e21 ),
    inference('REWRITE',[status(thm)],[19561,417,21536,theory(equality)]) ).

cnf(21542,plain,
    ( op2(e20,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21
    | h5(e10) = e21 ),
    inference('REWRITE',[status(thm)],[19562,417,21536,theory(equality)]) ).

cnf(21543,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22
    | op2(e21,e24) = e22 ),
    inference('REWRITE',[status(thm)],[19563,419,21536,theory(equality)]) ).

cnf(21545,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23
    | op2(e21,e24) = e23 ),
    inference('REWRITE',[status(thm)],[19565,420,21536,theory(equality)]) ).

cnf(21547,plain,
    op2(e20,e21) != e24,
    inference('REWRITE',[status(thm)],[19826,21536,theory(equality)]) ).

cnf(21549,plain,
    ( h1(e11) = e24
    | op2(e20,e22) = e24
    | op2(e20,e23) = e24
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[20502,21547]) ).

cnf(21550,plain,
    op2(e22,e21) != e24,
    inference('REWRITE',[status(thm)],[19827,21536,theory(equality)]) ).

cnf(21551,plain,
    ( op2(e22,e21) = e20
    | op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference('REWRITE',[status(thm)],[112,21550]) ).

cnf(21552,plain,
    ( op2(e22,e20) = e24
    | h3(e11) = e24
    | op2(e22,e23) = e24
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[18712,21550]) ).

cnf(21553,plain,
    op2(e23,e21) != e24,
    inference('REWRITE',[status(thm)],[19828,21536,theory(equality)]) ).

cnf(21554,plain,
    ( op2(e23,e21) = e20
    | op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference('REWRITE',[status(thm)],[117,21553]) ).

cnf(21556,plain,
    h5(e10) != e24,
    inference('REWRITE',[status(thm)],[19829,21536,theory(equality)]) ).

cnf(21558,plain,
    ( op2(e24,e20) = e24
    | op2(e24,e22) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[21534,21556]) ).

cnf(21559,plain,
    op2(e21,e20) != e24,
    inference('REWRITE',[status(thm)],[19830,21536,theory(equality)]) ).

cnf(21560,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22
    | op2(e21,e20) = e23 ),
    inference('REWRITE',[status(thm)],[106,21559]) ).

cnf(21565,plain,
    op2(e21,e23) != e24,
    inference('REWRITE',[status(thm)],[19832,21536,theory(equality)]) ).

cnf(21566,plain,
    ( op2(e21,e23) = e20
    | op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference('REWRITE',[status(thm)],[109,21565]) ).

cnf(21567,plain,
    ( op2(e20,e23) = e24
    | op2(e22,e23) = e24
    | h4(e11) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[17922,21565]) ).

cnf(21571,plain,
    h2(e10) = op2(e21,e24),
    inference('REWRITE',[status(thm)],[20234,21536,theory(equality)]) ).

cnf(21573,plain,
    h2(e10) != op2(e22,e24),
    inference('REWRITE',[status(thm)],[345,21571,theory(equality)]) ).

cnf(21574,plain,
    h2(e10) != op2(e23,e24),
    inference('REWRITE',[status(thm)],[346,21571,theory(equality)]) ).

cnf(21576,plain,
    op2(e21,e22) != h2(e10),
    inference('REWRITE',[status(thm)],[369,21571,theory(equality)]) ).

cnf(21577,plain,
    op2(e21,e23) != h2(e10),
    inference('REWRITE',[status(thm)],[370,21571,theory(equality)]) ).

cnf(21771,plain,
    op2(h2(e10),h5(e10)) = e24,
    inference('REWRITE',[status(thm)],[17635,21571,theory(equality)]) ).

cnf(21955,plain,
    ( op2(e20,e24) = e20
    | h2(e10) = e20
    | op2(e22,e24) = e20
    | op2(e23,e24) = e20 ),
    inference('REWRITE',[status(thm)],[21529,21571,theory(equality)]) ).

cnf(21956,plain,
    ( op2(e20,e24) = e22
    | h2(e10) = e22
    | op2(e22,e24) = e22
    | op2(e23,e24) = e22 ),
    inference('REWRITE',[status(thm)],[21531,21571,theory(equality)]) ).

cnf(21960,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21
    | h2(e10) = e21 ),
    inference('REWRITE',[status(thm)],[21541,21571,theory(equality)]) ).

cnf(21961,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e22) = e22
    | op2(e21,e23) = e22
    | h2(e10) = e22 ),
    inference('REWRITE',[status(thm)],[21543,21571,theory(equality)]) ).

cnf(21962,plain,
    ( op2(e21,e20) = e23
    | op2(e21,e22) = e23
    | op2(e21,e23) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[21545,21571,theory(equality)]) ).

cnf(21965,plain,
    h2(e12) = op2(h2(e10),e24),
    inference('REWRITE',[status(thm)],[20235,21536,theory(equality)]) ).

cnf(21993,plain,
    op2(e20,e24) != e21,
    inference('REWRITE',[status(thm)],[344,6703,theory(equality)]) ).

cnf(21994,plain,
    ( op2(e20,e24) = e20
    | op2(e20,e24) = e22
    | op2(e20,e24) = e23
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[105,21993]) ).

cnf(21995,plain,
    ( h1(e11) = e21
    | op2(e20,e21) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference('REWRITE',[status(thm)],[20496,21993]) ).

cnf(21996,plain,
    h2(e10) != e21,
    inference('REWRITE',[status(thm)],[347,21571,6703,theory(equality)]) ).

cnf(21997,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21
    | op2(e21,e23) = e21 ),
    inference('REWRITE',[status(thm)],[21960,21996]) ).

cnf(21999,plain,
    op2(e22,e24) != e21,
    inference('REWRITE',[status(thm)],[349,6703,theory(equality)]) ).

cnf(22000,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e22
    | op2(e22,e24) = e23
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[115,21999]) ).

cnf(22002,plain,
    op2(e23,e24) != e21,
    inference('REWRITE',[status(thm)],[350,6703,theory(equality)]) ).

cnf(22003,plain,
    ( op2(e23,e24) = e20
    | op2(e23,e24) = e22
    | op2(e23,e24) = e23
    | op2(e23,e24) = e24 ),
    inference('REWRITE',[status(thm)],[120,22002]) ).

cnf(22005,plain,
    op2(e24,e20) != e21,
    inference('REWRITE',[status(thm)],[394,6703,theory(equality)]) ).

cnf(22006,plain,
    ( op2(e24,e20) = e20
    | op2(e24,e20) = e22
    | op2(e24,e20) = e23
    | op2(e24,e20) = e24 ),
    inference('REWRITE',[status(thm)],[121,22005]) ).

cnf(22008,plain,
    h5(e10) != e21,
    inference('REWRITE',[status(thm)],[397,6738,6703,theory(equality)]) ).

cnf(22009,plain,
    ( op2(e20,e21) = e21
    | op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference('REWRITE',[status(thm)],[21542,22008]) ).

cnf(22011,plain,
    op2(e24,e22) != e21,
    inference('REWRITE',[status(thm)],[399,6703,theory(equality)]) ).

cnf(22012,plain,
    ( op2(e24,e22) = e20
    | op2(e24,e22) = e22
    | op2(e24,e22) = e23
    | op2(e24,e22) = e24 ),
    inference('REWRITE',[status(thm)],[123,22011]) ).

cnf(22013,plain,
    ( op2(e20,e22) = e21
    | op2(e21,e22) = e21
    | h3(e11) = e21
    | op2(e23,e22) = e21 ),
    inference('REWRITE',[status(thm)],[18707,22011]) ).

cnf(22014,plain,
    op2(e24,e23) != e21,
    inference('REWRITE',[status(thm)],[400,6703,theory(equality)]) ).

cnf(22015,plain,
    ( op2(e24,e23) = e20
    | op2(e24,e23) = e22
    | op2(e24,e23) = e23
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[124,22014]) ).

cnf(22017,plain,
    h5(e10) = e20,
    inference('REWRITE',[status(thm)],[6702,6738,6703,theory(equality)]) ).

cnf(22018,plain,
    op2(e24,e21) = e20,
    inference('REWRITE',[status(thm)],[6738,22017,theory(equality)]) ).

cnf(22022,plain,
    op2(e22,e21) != e20,
    inference('REWRITE',[status(thm)],[17637,22017,theory(equality)]) ).

cnf(22024,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e22
    | op2(e22,e21) = e23 ),
    inference('REWRITE',[status(thm)],[21551,22022]) ).

cnf(22025,plain,
    op2(e23,e21) != e20,
    inference('REWRITE',[status(thm)],[17638,22017,theory(equality)]) ).

cnf(22027,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e21) = e22
    | op2(e23,e21) = e23 ),
    inference('REWRITE',[status(thm)],[21554,22025]) ).

cnf(22028,plain,
    op2(e24,e20) != e20,
    inference('REWRITE',[status(thm)],[17639,22017,theory(equality)]) ).

cnf(22029,plain,
    ( h1(e11) = e20
    | op2(e21,e20) = e20
    | op2(e22,e20) = e20
    | op2(e23,e20) = e20 ),
    inference('REWRITE',[status(thm)],[20495,22028]) ).

cnf(22030,plain,
    ( op2(e24,e20) = e22
    | op2(e24,e20) = e23
    | op2(e24,e20) = e24 ),
    inference('REWRITE',[status(thm)],[22006,22028]) ).

cnf(22031,plain,
    op2(e24,e22) != e20,
    inference('REWRITE',[status(thm)],[17640,22017,theory(equality)]) ).

cnf(22032,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | h3(e11) = e20
    | op2(e23,e22) = e20 ),
    inference('REWRITE',[status(thm)],[18705,22031]) ).

cnf(22033,plain,
    ( op2(e24,e22) = e22
    | op2(e24,e22) = e23
    | op2(e24,e22) = e24 ),
    inference('REWRITE',[status(thm)],[22012,22031]) ).

cnf(22034,plain,
    op2(e24,e23) != e20,
    inference('REWRITE',[status(thm)],[17641,22017,theory(equality)]) ).

cnf(22036,plain,
    ( op2(e24,e23) = e22
    | op2(e24,e23) = e23
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[22015,22034]) ).

cnf(22037,plain,
    op2(e20,e21) = e22,
    inference('REWRITE',[status(thm)],[17899,22017,theory(equality)]) ).

cnf(22038,plain,
    op2(op2(e21,e20),e22) = e20,
    inference('REWRITE',[status(thm)],[177,22037,theory(equality)]) ).

cnf(22039,plain,
    op2(e22,op2(e21,e20)) = e21,
    inference('REWRITE',[status(thm)],[181,22037,theory(equality)]) ).

cnf(22040,plain,
    op2(e22,e21) != e22,
    inference('REWRITE',[status(thm)],[312,22037,theory(equality)]) ).

cnf(22042,plain,
    ( op2(e22,e21) = e21
    | op2(e22,e21) = e23 ),
    inference('REWRITE',[status(thm)],[22024,22040]) ).

cnf(22043,plain,
    op2(e23,e21) != e22,
    inference('REWRITE',[status(thm)],[313,22037,theory(equality)]) ).

cnf(22045,plain,
    ( op2(e23,e21) = e21
    | op2(e23,e21) = e23 ),
    inference('REWRITE',[status(thm)],[22027,22043]) ).

cnf(22046,plain,
    op2(e20,e22) != e22,
    inference('REWRITE',[status(thm)],[355,22037,theory(equality)]) ).

cnf(22048,plain,
    ( op2(e21,e22) = e22
    | h3(e11) = e22
    | op2(e23,e22) = e22
    | op2(e24,e22) = e22 ),
    inference('REWRITE',[status(thm)],[18709,22046]) ).

cnf(22052,plain,
    op2(e20,e24) != e22,
    inference('REWRITE',[status(thm)],[357,22037,theory(equality)]) ).

cnf(22053,plain,
    ( h2(e10) = e22
    | op2(e22,e24) = e22
    | op2(e23,e24) = e22 ),
    inference('REWRITE',[status(thm)],[21956,22052]) ).

cnf(22054,plain,
    ( op2(e20,e24) = e20
    | op2(e20,e24) = e23
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[21994,22052]) ).

cnf(22059,plain,
    ( h1(e11) = e21
    | op2(e20,e22) = e21
    | op2(e20,e23) = e21 ),
    inference('REWRITE',[status(thm)],[21995,415,22037,theory(equality)]) ).

cnf(22060,plain,
    ( op2(e22,e21) = e21
    | op2(e23,e21) = e21 ),
    inference('REWRITE',[status(thm)],[22009,415,22037,theory(equality)]) ).

cnf(22061,plain,
    h1(e11) = e23,
    inference('REWRITE',[status(thm)],[17909,6710,22017,theory(equality)]) ).

cnf(22063,plain,
    h4(e11) = e20,
    inference('REWRITE',[status(thm)],[20504,6731,22061,theory(equality)]) ).

cnf(22064,plain,
    op2(e23,e23) = e20,
    inference('REWRITE',[status(thm)],[6731,22063,theory(equality)]) ).

cnf(22065,plain,
    ( op2(e23,e20) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e24) = e23 ),
    inference('REWRITE',[status(thm)],[17919,413,22063,theory(equality)]) ).

cnf(22069,plain,
    op2(e21,e23) != e20,
    inference('REWRITE',[status(thm)],[18181,22063,theory(equality)]) ).

cnf(22070,plain,
    ( op2(e21,e23) = e21
    | op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference('REWRITE',[status(thm)],[21566,22069]) ).

cnf(22072,plain,
    op2(e22,e23) != e20,
    inference('REWRITE',[status(thm)],[18182,22063,theory(equality)]) ).

cnf(22073,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23
    | op2(e22,e23) = e24 ),
    inference('REWRITE',[status(thm)],[114,22072]) ).

cnf(22075,plain,
    op2(e23,e20) != e20,
    inference('REWRITE',[status(thm)],[18184,22063,theory(equality)]) ).

cnf(22077,plain,
    op2(e23,e22) != e20,
    inference('REWRITE',[status(thm)],[18186,22063,theory(equality)]) ).

cnf(22079,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20
    | h3(e11) = e20 ),
    inference('REWRITE',[status(thm)],[22032,22077]) ).

cnf(22080,plain,
    op2(e23,e24) != e20,
    inference('REWRITE',[status(thm)],[18187,22063,theory(equality)]) ).

cnf(22081,plain,
    ( op2(e20,e24) = e20
    | h2(e10) = e20
    | op2(e22,e24) = e20 ),
    inference('REWRITE',[status(thm)],[21955,22080]) ).

cnf(22082,plain,
    ( op2(e23,e24) = e22
    | op2(e23,e24) = e23
    | op2(e23,e24) = e24 ),
    inference('REWRITE',[status(thm)],[22003,22080]) ).

cnf(22083,plain,
    h4(e10) = op2(e23,e20),
    inference('REWRITE',[status(thm)],[18444,22063,theory(equality)]) ).

cnf(22087,plain,
    op2(e22,e20) != h4(e10),
    inference('REWRITE',[status(thm)],[308,22083,theory(equality)]) ).

cnf(22088,plain,
    h4(e10) != op2(e24,e20),
    inference('REWRITE',[status(thm)],[310,22083,theory(equality)]) ).

cnf(22091,plain,
    h4(e10) != op2(e23,e24),
    inference('REWRITE',[status(thm)],[384,22083,theory(equality)]) ).

cnf(22138,plain,
    ( h4(e10) = e23
    | op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e24) = e23 ),
    inference('REWRITE',[status(thm)],[22065,22083,theory(equality)]) ).

cnf(22139,plain,
    h4(e10) != e20,
    inference('REWRITE',[status(thm)],[22075,22083,theory(equality)]) ).

cnf(22141,plain,
    h4(e12) = op2(h4(e10),e20),
    inference('REWRITE',[status(thm)],[18445,22063,theory(equality)]) ).

cnf(22163,plain,
    ( h4(op1(e10,e10)) != h4(e13)
    | h4(op1(e10,e11)) != h4(e12)
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e11)) != e23
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != op2(e20,e23)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != h4(e10)
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[18567,22063,theory(equality)]) ).

cnf(22170,plain,
    ( op2(e20,e23) = e24
    | op2(e22,e23) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[21567,414,22063,theory(equality)]) ).

cnf(22175,plain,
    op2(e21,e20) != e23,
    inference('REWRITE',[status(thm)],[20761,22061,theory(equality)]) ).

cnf(22176,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21
    | op2(e21,e20) = e22 ),
    inference('REWRITE',[status(thm)],[21560,22175]) ).

cnf(22177,plain,
    ( op2(e21,e22) = e23
    | op2(e21,e23) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[21962,22175]) ).

cnf(22178,plain,
    op2(e22,e20) != e23,
    inference('REWRITE',[status(thm)],[20762,22061,theory(equality)]) ).

cnf(22179,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22
    | op2(e22,e20) = e24 ),
    inference('REWRITE',[status(thm)],[111,22178]) ).

cnf(22181,plain,
    h4(e10) != e23,
    inference('REWRITE',[status(thm)],[20763,22083,22061,theory(equality)]) ).

cnf(22182,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e22) = e23
    | op2(e23,e24) = e23 ),
    inference('REWRITE',[status(thm)],[22138,22181]) ).

cnf(22184,plain,
    op2(e24,e20) != e23,
    inference('REWRITE',[status(thm)],[20764,22061,theory(equality)]) ).

cnf(22185,plain,
    ( op2(e24,e20) = e22
    | op2(e24,e20) = e24 ),
    inference('REWRITE',[status(thm)],[22030,22184]) ).

cnf(22186,plain,
    op2(e20,e22) != e23,
    inference('REWRITE',[status(thm)],[20766,22061,theory(equality)]) ).

cnf(22187,plain,
    ( op2(e21,e22) = e23
    | h3(e11) = e23
    | op2(e23,e22) = e23
    | op2(e24,e22) = e23 ),
    inference('REWRITE',[status(thm)],[18711,22186]) ).

cnf(22192,plain,
    op2(e20,e24) != e23,
    inference('REWRITE',[status(thm)],[20768,22061,theory(equality)]) ).

cnf(22194,plain,
    ( op2(e20,e24) = e20
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[22054,22192]) ).

cnf(22195,plain,
    h1(e10) = op2(e20,e23),
    inference('REWRITE',[status(thm)],[21269,22061,theory(equality)]) ).

cnf(22196,plain,
    h1(e10) != op2(e21,e23),
    inference('REWRITE',[status(thm)],[331,22195,theory(equality)]) ).

cnf(22197,plain,
    h1(e10) != op2(e22,e23),
    inference('REWRITE',[status(thm)],[332,22195,theory(equality)]) ).

cnf(22199,plain,
    op2(e20,e22) != h1(e10),
    inference('REWRITE',[status(thm)],[358,22195,theory(equality)]) ).

cnf(22226,plain,
    ( h4(op1(e10,e10)) != h4(e13)
    | h4(op1(e10,e11)) != h4(e12)
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e11)) != e23
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != h1(e10)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != h4(e10)
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[22163,22195,theory(equality)]) ).

cnf(22232,plain,
    ( h1(e10) = e24
    | op2(e22,e23) = e24
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[22170,22195,theory(equality)]) ).

cnf(22236,plain,
    h1(e12) = op2(h1(e10),e23),
    inference('REWRITE',[status(thm)],[21270,22061,theory(equality)]) ).

cnf(22255,plain,
    ( op2(e20,e22) = e24
    | h1(e10) = e24
    | op2(e20,e24) = e24 ),
    inference('REWRITE',[status(thm)],[21549,22195,420,22061,theory(equality)]) ).

cnf(22259,plain,
    ( op2(e21,e20) = e20
    | op2(e22,e20) = e20 ),
    inference('REWRITE',[status(thm)],[22029,22139,22083,413,22061,theory(equality)]) ).

cnf(22260,plain,
    ( op2(e20,e22) = e21
    | h1(e10) = e21 ),
    inference('REWRITE',[status(thm)],[22059,22195,416,22061,theory(equality)]) ).

cnf(22262,plain,
    ( op2(e24,e22) = e23
    | op2(e24,e23) = e23 ),
    inference('REWRITE',[status(thm)],[21532,413,22184,22017,theory(equality)]) ).

cnf(22265,plain,
    op2(h2(e10),e20) = e24,
    inference('REWRITE',[status(thm)],[21771,22017,theory(equality)]) ).

cnf(22298,plain,
    ( op1(e14,e10) = e13
    | op1(e14,e11) = e13
    | op1(e14,e12) = e13
    | op1(e14,e13) = e13 ),
    inference('REWRITE',[status(thm)],[72,406,6697,theory(equality)]) ).

cnf(22300,plain,
    ( op1(e14,e10) = e14
    | op1(e14,e11) = e14
    | op1(e14,e12) = e14
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[74,407,6697,theory(equality)]) ).

cnf(22301,plain,
    ( op1(e10,e14) = e14
    | op1(e11,e14) = e14
    | op1(e12,e14) = e14
    | op1(e13,e14) = e14 ),
    inference('REWRITE',[status(thm)],[75,407,6697,theory(equality)]) ).

cnf(22302,plain,
    op1(e11,e11) = e14,
    inference('REWRITE',[status(thm)],[100,6697,theory(equality)]) ).

cnf(22303,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10
    | op1(e11,e13) = e10
    | op1(e11,e14) = e10 ),
    inference('REWRITE',[status(thm)],[36,404,22302,theory(equality)]) ).

cnf(22310,plain,
    ( op1(e10,e11) = e13
    | op1(e12,e11) = e13
    | op1(e13,e11) = e13
    | op1(e14,e11) = e13 ),
    inference('REWRITE',[status(thm)],[43,410,22302,theory(equality)]) ).

cnf(22314,plain,
    op1(e12,e11) != e14,
    inference('REWRITE',[status(thm)],[215,22302,theory(equality)]) ).

cnf(22315,plain,
    ( op1(e12,e11) = e10
    | op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference('REWRITE',[status(thm)],[12,22314]) ).

cnf(22317,plain,
    op1(e13,e11) != e14,
    inference('REWRITE',[status(thm)],[216,22302,theory(equality)]) ).

cnf(22318,plain,
    ( op1(e13,e11) = e10
    | op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference('REWRITE',[status(thm)],[17,22317]) ).

cnf(22320,plain,
    op1(e14,e11) != e14,
    inference('REWRITE',[status(thm)],[217,22302,theory(equality)]) ).

cnf(22322,plain,
    ( op1(e14,e10) = e14
    | op1(e14,e12) = e14
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[22300,22320]) ).

cnf(22326,plain,
    op1(e11,e12) != e14,
    inference('REWRITE',[status(thm)],[265,22302,theory(equality)]) ).

cnf(22327,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12
    | op1(e11,e12) = e13 ),
    inference('REWRITE',[status(thm)],[8,22326]) ).

cnf(22328,plain,
    ( op1(e10,e12) = e14
    | op1(e12,e12) = e14
    | op1(e13,e12) = e14
    | op1(e14,e12) = e14 ),
    inference('REWRITE',[status(thm)],[55,22326]) ).

cnf(22329,plain,
    op1(e11,e13) != e14,
    inference('REWRITE',[status(thm)],[266,22302,theory(equality)]) ).

cnf(22330,plain,
    ( op1(e11,e13) = e10
    | op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference('REWRITE',[status(thm)],[9,22329]) ).

cnf(22331,plain,
    ( op1(e10,e13) = e14
    | op1(e12,e13) = e14
    | op1(e13,e13) = e14
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[65,22329]) ).

cnf(22332,plain,
    op1(e11,e14) != e14,
    inference('REWRITE',[status(thm)],[267,22302,theory(equality)]) ).

cnf(22333,plain,
    ( op1(e11,e14) = e10
    | op1(e11,e14) = e11
    | op1(e11,e14) = e12
    | op1(e11,e14) = e13 ),
    inference('REWRITE',[status(thm)],[10,22332]) ).

cnf(22334,plain,
    ( op1(e10,e14) = e14
    | op1(e12,e14) = e14
    | op1(e13,e14) = e14 ),
    inference('REWRITE',[status(thm)],[22301,22332]) ).

cnf(22612,plain,
    ( h4(op1(e10,e10)) != h4(e13)
    | h4(op1(e10,e11)) != h4(e12)
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != h1(e10)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e11)) != h4(e10)
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[22226,6729,22302,theory(equality)]) ).

cnf(22664,plain,
    op1(e10,e14) != e11,
    inference('REWRITE',[status(thm)],[244,6697,theory(equality)]) ).

cnf(22665,plain,
    ( op1(e10,e14) = e10
    | op1(e10,e14) = e12
    | op1(e10,e14) = e13
    | op1(e10,e14) = e14 ),
    inference('REWRITE',[status(thm)],[5,22664]) ).

cnf(22666,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e11) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    inference('REWRITE',[status(thm)],[28,22664]) ).

cnf(22667,plain,
    op1(e11,e14) != e11,
    inference('REWRITE',[status(thm)],[247,6697,theory(equality)]) ).

cnf(22669,plain,
    ( op1(e11,e14) = e10
    | op1(e11,e14) = e12
    | op1(e11,e14) = e13 ),
    inference('REWRITE',[status(thm)],[22333,22667]) ).

cnf(22670,plain,
    op1(e12,e14) != e11,
    inference('REWRITE',[status(thm)],[249,6697,theory(equality)]) ).

cnf(22671,plain,
    ( op1(e12,e14) = e10
    | op1(e12,e14) = e12
    | op1(e12,e14) = e13
    | op1(e12,e14) = e14 ),
    inference('REWRITE',[status(thm)],[15,22670]) ).

cnf(22672,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11
    | op1(e12,e13) = e11 ),
    inference('REWRITE',[status(thm)],[48,22670]) ).

cnf(22673,plain,
    op1(e13,e14) != e11,
    inference('REWRITE',[status(thm)],[250,6697,theory(equality)]) ).

cnf(22674,plain,
    ( op1(e13,e14) = e10
    | op1(e13,e14) = e12
    | op1(e13,e14) = e13
    | op1(e13,e14) = e14 ),
    inference('REWRITE',[status(thm)],[20,22673]) ).

cnf(22676,plain,
    op1(e14,e10) != e11,
    inference('REWRITE',[status(thm)],[294,6697,theory(equality)]) ).

cnf(22677,plain,
    ( op1(e14,e10) = e10
    | op1(e14,e10) = e12
    | op1(e14,e10) = e13
    | op1(e14,e10) = e14 ),
    inference('REWRITE',[status(thm)],[21,22676]) ).

cnf(22682,plain,
    op1(e14,e12) != e11,
    inference('REWRITE',[status(thm)],[299,6697,theory(equality)]) ).

cnf(22684,plain,
    ( op1(e10,e12) = e11
    | op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference('REWRITE',[status(thm)],[49,22682]) ).

cnf(22685,plain,
    op1(e14,e13) != e11,
    inference('REWRITE',[status(thm)],[300,6697,theory(equality)]) ).

cnf(22686,plain,
    ( op1(e14,e13) = e10
    | op1(e14,e13) = e12
    | op1(e14,e13) = e13
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[24,22685]) ).

cnf(22688,plain,
    op1(e14,e11) = e10,
    inference('REWRITE',[status(thm)],[6696,6697,theory(equality)]) ).

cnf(22689,plain,
    op1(e10,op1(e11,e14)) = e11,
    inference('REWRITE',[status(thm)],[85,22688,theory(equality)]) ).

cnf(22690,plain,
    op1(op1(e11,e14),e10) = e14,
    inference('REWRITE',[status(thm)],[97,22688,theory(equality)]) ).

cnf(22691,plain,
    op1(e10,e11) != e10,
    inference('REWRITE',[status(thm)],[214,22688,theory(equality)]) ).

cnf(22692,plain,
    ( op1(e10,e10) = e10
    | op1(e10,e12) = e10
    | op1(e10,e13) = e10
    | op1(e10,e14) = e10 ),
    inference('REWRITE',[status(thm)],[26,22691]) ).

cnf(22694,plain,
    op1(e12,e11) != e10,
    inference('REWRITE',[status(thm)],[219,22688,theory(equality)]) ).

cnf(22696,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e11) = e12
    | op1(e12,e11) = e13 ),
    inference('REWRITE',[status(thm)],[22315,22694]) ).

cnf(22697,plain,
    op1(e13,e11) != e10,
    inference('REWRITE',[status(thm)],[220,22688,theory(equality)]) ).

cnf(22699,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e11) = e12
    | op1(e13,e11) = e13 ),
    inference('REWRITE',[status(thm)],[22318,22697]) ).

cnf(22700,plain,
    op1(e14,e10) != e10,
    inference('REWRITE',[status(thm)],[291,22688,theory(equality)]) ).

cnf(22702,plain,
    ( op1(e14,e10) = e12
    | op1(e14,e10) = e13
    | op1(e14,e10) = e14 ),
    inference('REWRITE',[status(thm)],[22677,22700]) ).

cnf(22706,plain,
    op1(e14,e13) != e10,
    inference('REWRITE',[status(thm)],[296,22688,theory(equality)]) ).

cnf(22708,plain,
    ( op1(e14,e13) = e12
    | op1(e14,e13) = e13
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[22686,22706]) ).

cnf(22709,plain,
    op1(e10,e11) = e12,
    inference('REWRITE',[status(thm)],[6699,22688,theory(equality)]) ).

cnf(22713,plain,
    op1(e12,e11) != e12,
    inference('REWRITE',[status(thm)],[212,22709,theory(equality)]) ).

cnf(22714,plain,
    ( op1(e12,e10) = e12
    | op1(e12,e12) = e12
    | op1(e12,e13) = e12
    | op1(e12,e14) = e12 ),
    inference('REWRITE',[status(thm)],[50,22713]) ).

cnf(22715,plain,
    ( op1(e12,e11) = e11
    | op1(e12,e11) = e13 ),
    inference('REWRITE',[status(thm)],[22696,22713]) ).

cnf(22716,plain,
    op1(e13,e11) != e12,
    inference('REWRITE',[status(thm)],[213,22709,theory(equality)]) ).

cnf(22718,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e11) = e13 ),
    inference('REWRITE',[status(thm)],[22699,22716]) ).

cnf(22725,plain,
    op1(e10,e13) != e12,
    inference('REWRITE',[status(thm)],[256,22709,theory(equality)]) ).

cnf(22726,plain,
    ( op1(e10,e13) = e10
    | op1(e10,e13) = e11
    | op1(e10,e13) = e13
    | op1(e10,e13) = e14 ),
    inference('REWRITE',[status(thm)],[4,22725]) ).

cnf(22728,plain,
    op1(e10,e14) != e12,
    inference('REWRITE',[status(thm)],[257,22709,theory(equality)]) ).

cnf(22730,plain,
    ( op1(e10,e14) = e10
    | op1(e10,e14) = e13
    | op1(e10,e14) = e14 ),
    inference('REWRITE',[status(thm)],[22665,22728]) ).

cnf(22731,plain,
    ( op1(e10,e10) = e11
    | op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    inference('REWRITE',[status(thm)],[22666,405,22709,theory(equality)]) ).

cnf(22733,plain,
    op1(e10,e10) = e13,
    inference('REWRITE',[status(thm)],[6701,22688,theory(equality)]) ).

cnf(22734,plain,
    op1(e13,e13) = e10,
    inference('REWRITE',[status(thm)],[76,22733,theory(equality)]) ).

cnf(22735,plain,
    ( op1(e13,e10) = e13
    | op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e14) = e13 ),
    inference('REWRITE',[status(thm)],[62,403,22734,theory(equality)]) ).

cnf(22736,plain,
    ( op1(e10,e13) = e13
    | op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e14,e13) = e13 ),
    inference('REWRITE',[status(thm)],[63,403,22734,theory(equality)]) ).

cnf(22737,plain,
    op1(e10,e13) != e10,
    inference('REWRITE',[status(thm)],[233,22734,theory(equality)]) ).

cnf(22738,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e13
    | op1(e10,e13) = e14 ),
    inference('REWRITE',[status(thm)],[22726,22737]) ).

cnf(22739,plain,
    op1(e11,e13) != e10,
    inference('REWRITE',[status(thm)],[236,22734,theory(equality)]) ).

cnf(22740,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10
    | op1(e11,e14) = e10 ),
    inference('REWRITE',[status(thm)],[22303,22739]) ).

cnf(22741,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference('REWRITE',[status(thm)],[22330,22739]) ).

cnf(22742,plain,
    op1(e12,e13) != e10,
    inference('REWRITE',[status(thm)],[238,22734,theory(equality)]) ).

cnf(22743,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13
    | op1(e12,e13) = e14 ),
    inference('REWRITE',[status(thm)],[14,22742]) ).

cnf(22745,plain,
    op1(e13,e10) != e10,
    inference('REWRITE',[status(thm)],[283,22734,theory(equality)]) ).

cnf(22746,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e13
    | op1(e13,e10) = e14 ),
    inference('REWRITE',[status(thm)],[16,22745]) ).

cnf(22750,plain,
    op1(e13,e14) != e10,
    inference('REWRITE',[status(thm)],[290,22734,theory(equality)]) ).

cnf(22752,plain,
    ( op1(e13,e14) = e12
    | op1(e13,e14) = e13
    | op1(e13,e14) = e14 ),
    inference('REWRITE',[status(thm)],[22674,22750]) ).

cnf(22754,plain,
    ( op1(e10,e13) = e14
    | op1(e12,e13) = e14
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[22331,404,22734,theory(equality)]) ).

cnf(22765,plain,
    op1(e13,e10) != e13,
    inference('REWRITE',[status(thm)],[203,22733,theory(equality)]) ).

cnf(22766,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e12) = e13
    | op1(e13,e14) = e13 ),
    inference('REWRITE',[status(thm)],[22735,22765]) ).

cnf(22767,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e13,e10) = e14 ),
    inference('REWRITE',[status(thm)],[22746,22765]) ).

cnf(22768,plain,
    op1(e14,e10) != e13,
    inference('REWRITE',[status(thm)],[204,22733,theory(equality)]) ).

cnf(22769,plain,
    ( op1(e14,e10) = e12
    | op1(e14,e10) = e14 ),
    inference('REWRITE',[status(thm)],[22702,22768]) ).

cnf(22770,plain,
    op1(e10,e12) != e13,
    inference('REWRITE',[status(thm)],[252,22733,theory(equality)]) ).

cnf(22771,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(e14,e12) = e13 ),
    inference('REWRITE',[status(thm)],[53,22770]) ).

cnf(22773,plain,
    op1(e10,e13) != e13,
    inference('REWRITE',[status(thm)],[253,22733,theory(equality)]) ).

cnf(22774,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e14,e13) = e13 ),
    inference('REWRITE',[status(thm)],[22736,22773]) ).

cnf(22775,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e13) = e14 ),
    inference('REWRITE',[status(thm)],[22738,22773]) ).

cnf(22776,plain,
    op1(e10,e14) != e13,
    inference('REWRITE',[status(thm)],[254,22733,theory(equality)]) ).

cnf(22778,plain,
    ( op1(e10,e14) = e10
    | op1(e10,e14) = e14 ),
    inference('REWRITE',[status(thm)],[22730,22776]) ).

cnf(22782,plain,
    ( op1(e10,e12) = e10
    | op1(e10,e14) = e10 ),
    inference('REWRITE',[status(thm)],[22692,22737,403,22733,theory(equality)]) ).

cnf(22784,plain,
    ( op1(e10,e12) = e11
    | op1(e10,e13) = e11 ),
    inference('REWRITE',[status(thm)],[22731,406,22733,theory(equality)]) ).

cnf(22786,plain,
    ( op1(e14,e12) = e13
    | op1(e14,e13) = e13 ),
    inference('REWRITE',[status(thm)],[22298,403,22768,22688,theory(equality)]) ).

cnf(22787,plain,
    ( op1(e12,e11) = e13
    | op1(e13,e11) = e13 ),
    inference('REWRITE',[status(thm)],[22310,403,408,22709,22688,theory(equality)]) ).

cnf(23065,plain,
    ( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != h1(e10)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(e10) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[22612,22734,22709,22733,22688,theory(equality)]) ).

cnf(23129,plain,
    ( h1(e10) = e21
    | op2(op2(e22,e20),e21) = e20 ),
    inference('PARAMODULATE',[status(thm)],[178,22260,theory(equality)]) ).

cnf(23139,plain,
    ( op2(e23,e21) = e21
    | op2(op2(e21,e23),e23) = e23 ),
    inference('PARAMODULATE',[status(thm)],[192,22045,theory(equality)]) ).

cnf(23144,plain,
    ( op2(e22,e21) = e21
    | op2(e21,op2(e21,e23)) = e21 ),
    inference('PARAMODULATE',[status(thm)],[184,22060,theory(equality)]) ).

cnf(23162,plain,
    ( op2(e21,e20) = e20
    | op2(e22,e24) != e20 ),
    inference('PARAMODULATE',[status(thm)],[374,22259,theory(equality)]) ).

cnf(23177,plain,
    ( op1(e12,e11) = e11
    | op1(op1(e11,e12),e13) = e12 ),
    inference('PARAMODULATE',[status(thm)],[87,22715,theory(equality)]) ).

cnf(23182,plain,
    ( op1(e13,e11) = e11
    | op1(op1(e11,e13),e13) = e13 ),
    inference('PARAMODULATE',[status(thm)],[92,22718,theory(equality)]) ).

cnf(23183,plain,
    ( op1(e13,e11) = e11
    | op1(e13,op1(e11,e13)) = e11 ),
    inference('PARAMODULATE',[status(thm)],[84,22718,theory(equality)]) ).

cnf(23192,plain,
    ( op1(e14,e10) = e12
    | op1(op1(e10,e14),e14) = e14 ),
    inference('PARAMODULATE',[status(thm)],[96,22769,theory(equality)]) ).

cnf(23193,plain,
    ( op1(e14,e10) = e12
    | op1(e14,op1(e10,e14)) = e10 ),
    inference('PARAMODULATE',[status(thm)],[80,22769,theory(equality)]) ).

cnf(23194,plain,
    ( op1(e10,e13) = e11
    | op1(e10,e14) != e14 ),
    inference('PARAMODULATE',[status(thm)],[260,22775,theory(equality)]) ).

cnf(23198,plain,
    ( op1(e10,e13) = e11
    | op1(e14,op1(e13,e10)) = e13 ),
    inference('PARAMODULATE',[status(thm)],[91,22775,theory(equality)]) ).

cnf(23203,plain,
    ( op1(e10,e14) = e10
    | op1(e12,e14) != e14 ),
    inference('PARAMODULATE',[status(thm)],[242,22778,theory(equality)]) ).

cnf(23204,plain,
    ( op1(e10,e14) = e10
    | op1(e14,op1(e14,e10)) = e14 ),
    inference('PARAMODULATE',[status(thm)],[96,22778,theory(equality)]) ).

cnf(23209,plain,
    ( op1(e10,e12) = e10
    | op1(op1(e14,e10),e10) = e10 ),
    inference('PARAMODULATE',[status(thm)],[80,22782,theory(equality)]) ).

cnf(23218,plain,
    ( op1(e14,e12) = e13
    | op1(e12,e13) != e13 ),
    inference('PARAMODULATE',[status(thm)],[239,22786,theory(equality)]) ).

cnf(23223,plain,
    ( op1(e12,e11) = e13
    | op1(e13,e12) != e13 ),
    inference('PARAMODULATE',[status(thm)],[285,22787,theory(equality)]) ).

cnf(23243,plain,
    ( h2(e10) = e22
    | op2(e22,e24) = e22
    | op2(e23,e22) != e22 ),
    inference('PARAMODULATE',[status(thm)],[389,22053,theory(equality)]) ).

cnf(23290,plain,
    ( h1(e10) = e24
    | op2(e22,e23) = e24
    | op2(e24,e22) = e23 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22262,22232,theory(equality)]),420]) ).

cnf(23298,plain,
    ( op2(e20,e22) = e24
    | h1(e10) = e24
    | op2(op2(e24,e20),e24) = e20 ),
    inference('PARAMODULATE',[status(thm)],[180,22255,theory(equality)]) ).

cnf(23312,plain,
    ( op2(e24,e20) = e24
    | op2(e24,e22) = e24
    | op2(op2(e23,e24),e24) = e24 ),
    inference('PARAMODULATE',[status(thm)],[199,21558,theory(equality)]) ).

cnf(23331,plain,
    ( op2(e24,e22) = e22
    | op2(e24,e22) = e23
    | op2(e20,e22) != e24 ),
    inference('PARAMODULATE',[status(thm)],[324,22033,theory(equality)]) ).

cnf(23395,plain,
    ( op1(e14,e10) = e14
    | op1(e14,e12) = e14
    | op1(e12,e13) != e14 ),
    inference('PARAMODULATE',[status(thm)],[239,22322,theory(equality)]) ).

cnf(23397,plain,
    ( op1(e14,e10) = e14
    | op1(e14,e12) = e14
    | op1(op1(e13,e14),e14) = e14 ),
    inference('PARAMODULATE',[status(thm)],[99,22322,theory(equality)]) ).

cnf(23408,plain,
    ( op1(e11,e14) = e10
    | op1(e11,e14) = e12
    | op1(e13,e10) = e14 ),
    inference('PARAMODULATE',[status(thm)],[22690,22669,theory(equality)]) ).

cnf(23425,plain,
    ( op1(e14,e13) = e12
    | op1(e14,e13) = e13
    | op1(op1(e13,e14),e14) = e14 ),
    inference('PARAMODULATE',[status(thm)],[99,22708,theory(equality)]) ).

cnf(23432,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) = e10 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22690,22740,theory(equality)]),410,22733,theory(equality)]) ).

cnf(23464,plain,
    ( op1(e10,e13) = e14
    | op1(e12,e13) = e14
    | op1(e14,e12) = e13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22786,22754,theory(equality)]),410]) ).

cnf(23523,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,op1(e13,e14)) = e13 ),
    inference('PARAMODULATE',[status(thm)],[95,22774,theory(equality)]) ).

cnf(23569,plain,
    ( op2(e21,e20) = e22
    | op2(e21,e22) = e22
    | h2(e10) = e22
    | op2(e21,e22) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22177,21961,theory(equality)]),418]) ).

cnf(23604,plain,
    ( op2(e21,e22) = e23
    | h3(e11) = e23
    | op2(e23,e22) = e23
    | op2(op2(e22,e24),e23) = e24 ),
    inference('PARAMODULATE',[status(thm)],[198,22187,theory(equality)]) ).

cnf(23620,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e22
    | op2(e22,e24) = e23
    | op2(e24,op2(e24,e22)) = e24 ),
    inference('PARAMODULATE',[status(thm)],[198,22000,theory(equality)]) ).

cnf(23624,plain,
    ( op2(e22,e23) = e21
    | op2(e22,e23) = e22
    | op2(e22,e23) = e23
    | op2(e22,e24) != e24 ),
    inference('PARAMODULATE',[status(thm)],[380,22073,theory(equality)]) ).

cnf(23670,plain,
    ( op1(e12,e14) = e10
    | op1(e12,e14) = e12
    | op1(e12,e14) = e13
    | op1(e14,op1(e14,e12)) = e14 ),
    inference('PARAMODULATE',[status(thm)],[98,22671,theory(equality)]) ).

cnf(23726,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(op1(e12,e14),e13) = e14 ),
    inference('PARAMODULATE',[status(thm)],[98,22771,theory(equality)]) ).

cnf(23729,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(e10,e12) = e14
    | op1(e12,e12) = e14
    | op1(e13,e12) = e14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22328,22771,theory(equality)]),410]) ).

cnf(27253,plain,
    ( op1(e10,e12) = e11
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | e20 != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != h1(e10)
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(e10) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23065,22784,theory(equality)]),22063,theory(equality)]) ).

cnf(42437,plain,
    ( op2(e20,e24) = e20
    | h2(e10) = e20
    | op2(e21,e20) = e20 ),
    inference('HYPERRESOLVE',[status(thm)],[23162,22081]) ).

cnf(42449,plain,
    ( op1(e10,e14) = e10
    | op1(e10,e13) = e11 ),
    inference('HYPERRESOLVE',[status(thm)],[23194,22778]) ).

cnf(42466,plain,
    ( op1(e11,e10) = e10
    | op1(op1(e12,e11),e10) = e11 ),
    inference('PARAMODULATE',[status(thm)],[83,23432,theory(equality)]) ).

cnf(43530,plain,
    ( op2(e21,e20) = e20
    | h1(e10) = e21 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23129,22259,theory(equality)]),412,22037,theory(equality)]) ).

cnf(43531,plain,
    ( h1(e10) = e21
    | op2(e22,e20) = e21 ),
    inference('PARAMODULATE',[status(thm)],[22039,43530,theory(equality)]) ).

cnf(43537,plain,
    h1(e10) = e21,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23129,43531,theory(equality)]),414,21537,theory(equality)]) ).

cnf(43539,plain,
    op2(e20,e23) = e21,
    inference('REWRITE',[status(thm)],[22195,43537,theory(equality)]) ).

cnf(43540,plain,
    op2(e21,e23) != e21,
    inference('REWRITE',[status(thm)],[22196,43537,theory(equality)]) ).

cnf(43541,plain,
    ( op2(e21,e20) = e21
    | op2(e21,e22) = e21 ),
    inference('REWRITE',[status(thm)],[21997,43540]) ).

cnf(43542,plain,
    ( op2(e21,e23) = e22
    | op2(e21,e23) = e23 ),
    inference('REWRITE',[status(thm)],[22070,43540]) ).

cnf(43550,plain,
    op2(e22,e23) != e21,
    inference('REWRITE',[status(thm)],[22197,43537,theory(equality)]) ).

cnf(43554,plain,
    ( op2(e22,e23) = e22
    | op2(e22,e23) = e23
    | op2(e22,e24) != e24 ),
    inference('REWRITE',[status(thm)],[23624,43550]) ).

cnf(43559,plain,
    op2(e20,e22) != e21,
    inference('REWRITE',[status(thm)],[22199,43537,theory(equality)]) ).

cnf(43560,plain,
    ( op2(e21,e22) = e21
    | h3(e11) = e21
    | op2(e23,e22) = e21 ),
    inference('REWRITE',[status(thm)],[22013,43559]) ).

cnf(43576,plain,
    op2(e21,e23) = h1(e12),
    inference('REWRITE',[status(thm)],[22236,43537,theory(equality)]) ).

cnf(43579,plain,
    op2(e22,e23) != h1(e12),
    inference('REWRITE',[status(thm)],[335,43576,theory(equality)]) ).

cnf(43580,plain,
    h1(e12) != op2(e24,e23),
    inference('REWRITE',[status(thm)],[337,43576,theory(equality)]) ).

cnf(43581,plain,
    op2(e21,e20) != h1(e12),
    inference('REWRITE',[status(thm)],[363,43576,theory(equality)]) ).

cnf(43582,plain,
    op2(e21,e22) != h1(e12),
    inference('REWRITE',[status(thm)],[368,43576,theory(equality)]) ).

cnf(43584,plain,
    h1(e12) != h2(e10),
    inference('REWRITE',[status(thm)],[21577,43576,theory(equality)]) ).

cnf(43588,plain,
    ( op2(e21,e22) = e23
    | h1(e12) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[22177,43576,theory(equality)]) ).

cnf(43590,plain,
    ( op2(e23,e21) = e21
    | op2(h1(e12),e23) = e23 ),
    inference('REWRITE',[status(thm)],[23139,43576,theory(equality)]) ).

cnf(43593,plain,
    ( op2(e22,e21) = e21
    | op2(e21,h1(e12)) = e21 ),
    inference('REWRITE',[status(thm)],[23144,43576,theory(equality)]) ).

cnf(43615,plain,
    h1(e12) != e21,
    inference('REWRITE',[status(thm)],[43540,43576,theory(equality)]) ).

cnf(43616,plain,
    ( h1(e12) = e22
    | h1(e12) = e23 ),
    inference('REWRITE',[status(thm)],[43542,43576,theory(equality)]) ).

cnf(43659,plain,
    ( op2(e22,e23) = e24
    | op2(e24,e22) = e23 ),
    inference('REWRITE',[status(thm)],[23290,417,43537,theory(equality)]) ).

cnf(43663,plain,
    ( op2(e20,e22) = e24
    | op2(op2(e24,e20),e24) = e20 ),
    inference('REWRITE',[status(thm)],[23298,417,43537,theory(equality)]) ).

cnf(44925,plain,
    ( op1(e10,e12) = e11
    | h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
    | e20 != op2(h4(e10),h4(e13))
    | h4(op1(e10,e14)) != op2(h4(e10),e23)
    | h4(op1(e11,e10)) != op2(e20,h4(e10))
    | h4(op1(e11,e12)) != op2(e20,h4(e12))
    | h4(op1(e11,e13)) != op2(e20,h4(e13))
    | h4(op1(e11,e14)) != e21
    | h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
    | h4(op1(e12,e11)) != op2(h4(e12),e20)
    | h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
    | h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
    | h4(op1(e12,e14)) != op2(h4(e12),e23)
    | h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
    | h4(op1(e13,e11)) != op2(h4(e13),e20)
    | h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
    | h4(e10) != op2(h4(e13),h4(e13))
    | h4(op1(e13,e14)) != op2(h4(e13),e23)
    | h4(op1(e14,e10)) != op2(e23,h4(e10))
    | h4(op1(e14,e12)) != op2(e23,h4(e12))
    | h4(op1(e14,e13)) != op2(e23,h4(e13))
    | h4(e13) != e21
    | h4(e12) != e22
    | h4(e10) != e24 ),
    inference('REWRITE',[status(thm)],[27253,43537,theory(equality)]) ).

cnf(45412,plain,
    ( h1(e12) = e23
    | h2(e10) = e23
    | op2(e21,e20) = e21 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43541,43588,theory(equality)]),416]) ).

cnf(45467,plain,
    ( op2(e22,e23) = e24
    | op2(e23,e22) != e23 ),
    inference('PARAMODULATE',[status(thm)],[330,43659,theory(equality)]) ).

cnf(45490,plain,
    ( h1(e12) = e22
    | op2(e23,e21) = e21 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43590,43616,theory(equality)]),413,22064,theory(equality)]) ).

cnf(45494,plain,
    ( h1(e12) = e22
    | op2(e22,e21) != e21 ),
    inference('PARAMODULATE',[status(thm)],[318,45490,theory(equality)]) ).

cnf(45509,plain,
    ( h1(e12) = e22
    | op2(e22,e21) = e21 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43593,43616,theory(equality)]),43615,43576,theory(equality)]) ).

cnf(45511,plain,
    h1(e12) = e22,
    inference('HYPERRESOLVE',[status(thm)],[45494,45509]) ).

cnf(45512,plain,
    op2(e21,e23) = e22,
    inference('REWRITE',[status(thm)],[43576,45511,theory(equality)]) ).

cnf(45515,plain,
    op2(e22,e23) != e22,
    inference('REWRITE',[status(thm)],[43579,45511,theory(equality)]) ).

cnf(45535,plain,
    ( op2(e22,e23) = e23
    | op2(e22,e24) != e24 ),
    inference('REWRITE',[status(thm)],[43554,45515]) ).

cnf(45542,plain,
    op2(e24,e23) != e22,
    inference('REWRITE',[status(thm)],[43580,45511,theory(equality)]) ).

cnf(45543,plain,
    ( op2(e24,e23) = e23
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[22036,45542]) ).

cnf(45579,plain,
    op2(e21,e20) != e22,
    inference('REWRITE',[status(thm)],[43581,45511,theory(equality)]) ).

cnf(45581,plain,
    ( op2(e21,e20) = e20
    | op2(e21,e20) = e21 ),
    inference('REWRITE',[status(thm)],[22176,45579]) ).

cnf(45582,plain,
    ( op2(e21,e22) = e22
    | h2(e10) = e22
    | op2(e21,e22) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[23569,45579]) ).

cnf(45588,plain,
    op2(e21,e22) != e22,
    inference('REWRITE',[status(thm)],[43582,45511,theory(equality)]) ).

cnf(45590,plain,
    ( h3(e11) = e22
    | op2(e23,e22) = e22
    | op2(e24,e22) = e22 ),
    inference('REWRITE',[status(thm)],[22048,45588]) ).

cnf(45604,plain,
    ( h2(e10) = e22
    | op2(e21,e22) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[45582,45588]) ).

cnf(45606,plain,
    h2(e10) != e22,
    inference('REWRITE',[status(thm)],[43584,45511,theory(equality)]) ).

cnf(45616,plain,
    ( op2(e22,e24) = e22
    | op2(e23,e22) != e22 ),
    inference('REWRITE',[status(thm)],[23243,45606]) ).

cnf(45623,plain,
    ( op2(e21,e22) = e23
    | h2(e10) = e23 ),
    inference('REWRITE',[status(thm)],[45604,45606]) ).

cnf(45783,plain,
    ( h2(e10) = e23
    | op2(e21,e20) = e21 ),
    inference('REWRITE',[status(thm)],[45412,418,45511,theory(equality)]) ).

cnf(45884,plain,
    ( h2(e10) = e23
    | op2(e21,e22) = e20 ),
    inference('PARAMODULATE',[status(thm)],[22038,45783,theory(equality)]) ).

cnf(45903,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e22
    | op2(e22,e24) = e23
    | op2(e22,e23) = e23 ),
    inference('HYPERRESOLVE',[status(thm)],[45535,22000]) ).

cnf(45991,plain,
    h2(e10) = e23,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[45623,45884,theory(equality)]),413]) ).

cnf(45993,plain,
    op2(e21,e24) = e23,
    inference('REWRITE',[status(thm)],[21571,45991,theory(equality)]) ).

cnf(45994,plain,
    op2(e22,e24) != e23,
    inference('REWRITE',[status(thm)],[21573,45991,theory(equality)]) ).

cnf(46001,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e22
    | op2(e24,op2(e24,e22)) = e24 ),
    inference('REWRITE',[status(thm)],[23620,45994]) ).

cnf(46005,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e24) = e22
    | op2(e22,e23) = e23 ),
    inference('REWRITE',[status(thm)],[45903,45994]) ).

cnf(46006,plain,
    op2(e23,e24) != e23,
    inference('REWRITE',[status(thm)],[21574,45991,theory(equality)]) ).

cnf(46007,plain,
    ( op2(e23,e24) = e22
    | op2(e23,e24) = e24 ),
    inference('REWRITE',[status(thm)],[22082,46006]) ).

cnf(46008,plain,
    ( op2(e23,e21) = e23
    | op2(e23,e22) = e23 ),
    inference('REWRITE',[status(thm)],[22182,46006]) ).

cnf(46017,plain,
    op2(e21,e22) != e23,
    inference('REWRITE',[status(thm)],[21576,45991,theory(equality)]) ).

cnf(46020,plain,
    ( h3(e11) = e23
    | op2(e23,e22) = e23
    | op2(op2(e22,e24),e23) = e24 ),
    inference('REWRITE',[status(thm)],[23604,46017]) ).

cnf(46027,plain,
    h2(e12) = op2(e23,e24),
    inference('REWRITE',[status(thm)],[21965,45991,theory(equality)]) ).

cnf(46031,plain,
    op2(e22,e24) != h2(e12),
    inference('REWRITE',[status(thm)],[348,46027,theory(equality)]) ).

cnf(46037,plain,
    h4(e10) != h2(e12),
    inference('REWRITE',[status(thm)],[22091,46027,theory(equality)]) ).

cnf(46044,plain,
    ( op2(e24,e20) = e24
    | op2(e24,e22) = e24
    | op2(h2(e12),e24) = e24 ),
    inference('REWRITE',[status(thm)],[23312,46027,theory(equality)]) ).

cnf(46063,plain,
    ( h2(e12) = e22
    | h2(e12) = e24 ),
    inference('REWRITE',[status(thm)],[46007,46027,theory(equality)]) ).

cnf(46073,plain,
    h4(e10) = e24,
    inference('REWRITE',[status(thm)],[22265,22083,45991,theory(equality)]) ).

cnf(46074,plain,
    h4(e13) = e21,
    inference('REWRITE',[status(thm)],[18446,6703,46073,theory(equality)]) ).

cnf(46076,plain,
    op2(e22,e20) != e24,
    inference('REWRITE',[status(thm)],[22087,46073,theory(equality)]) ).

cnf(46077,plain,
    ( h3(e11) = e24
    | op2(e22,e23) = e24
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[21552,46076]) ).

cnf(46078,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21
    | op2(e22,e20) = e22 ),
    inference('REWRITE',[status(thm)],[22179,46076]) ).

cnf(46087,plain,
    op2(e24,e20) != e24,
    inference('REWRITE',[status(thm)],[22088,46073,theory(equality)]) ).

cnf(46089,plain,
    op2(e24,e20) = e22,
    inference('REWRITE',[status(thm)],[22185,46087]) ).

cnf(46092,plain,
    op2(e22,e20) != e22,
    inference('REWRITE',[status(thm)],[309,46089,theory(equality)]) ).

cnf(46102,plain,
    ( op2(e22,e20) = e20
    | op2(e22,e20) = e21 ),
    inference('REWRITE',[status(thm)],[46078,46092]) ).

cnf(46104,plain,
    op2(e24,e22) != e22,
    inference('REWRITE',[status(thm)],[392,46089,theory(equality)]) ).

cnf(46105,plain,
    ( op2(e24,e22) = e23
    | op2(e24,e22) = e24 ),
    inference('REWRITE',[status(thm)],[22033,46104]) ).

cnf(46109,plain,
    ( op2(e24,e22) = e23
    | op2(e20,e22) != e24 ),
    inference('REWRITE',[status(thm)],[23331,46104]) ).

cnf(46113,plain,
    ( h3(e11) = e22
    | op2(e23,e22) = e22 ),
    inference('REWRITE',[status(thm)],[45590,46104]) ).

cnf(46117,plain,
    ( op2(e20,e22) = e24
    | op2(e22,e24) = e20 ),
    inference('REWRITE',[status(thm)],[43663,46089,theory(equality)]) ).

cnf(46128,plain,
    ( op2(e24,e22) = e24
    | op2(h2(e12),e24) = e24 ),
    inference('REWRITE',[status(thm)],[46044,46087]) ).

cnf(46137,plain,
    h4(e12) = e22,
    inference('REWRITE',[status(thm)],[22141,46089,46073,theory(equality)]) ).

cnf(46147,plain,
    ( op1(e10,e12) = e11
    | h4(op1(e10,e12)) != op2(e24,e22)
    | h4(op1(e10,e14)) != op2(e24,e23)
    | h4(op1(e11,e10)) != op2(e20,e24)
    | h4(op1(e11,e12)) != op2(e20,e22)
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e14)) != e21
    | h4(op1(e12,e10)) != op2(e22,e24)
    | h4(op1(e12,e11)) != op2(e22,e20)
    | h4(op1(e12,e12)) != h3(e11)
    | h4(op1(e12,e13)) != op2(e22,e21)
    | h4(op1(e12,e14)) != op2(e22,e23)
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e11)) != op2(e21,e20)
    | h4(op1(e13,e12)) != op2(e21,e22)
    | h4(op1(e13,e14)) != e22
    | h4(op1(e14,e10)) != h2(e12)
    | h4(op1(e14,e12)) != op2(e23,e22)
    | h4(op1(e14,e13)) != op2(e23,e21) ),
    inference('REWRITE',[status(thm)],[44925,46027,45512,21537,45993,6724,22037,22018,46074,46137,46073,theory(equality)]) ).

cnf(46182,plain,
    h2(e12) != e24,
    inference('REWRITE',[status(thm)],[46037,46073,theory(equality)]) ).

cnf(46183,plain,
    h2(e12) = e22,
    inference('REWRITE',[status(thm)],[46063,46182]) ).

cnf(46187,plain,
    op2(e22,e24) != e22,
    inference('REWRITE',[status(thm)],[46031,46183,theory(equality)]) ).

cnf(46188,plain,
    op2(e23,e22) != e22,
    inference('REWRITE',[status(thm)],[45616,46187]) ).

cnf(46189,plain,
    h3(e11) = e22,
    inference('REWRITE',[status(thm)],[46113,46188]) ).

cnf(46191,plain,
    ( op2(e21,e20) != e21
    | op2(e23,e21) != e23
    | op2(e24,e23) != e24
    | op2(e20,e24) != e20 ),
    inference('REWRITE',[status(thm)],[19035,46189,theory(equality)]) ).

cnf(46196,plain,
    ( op2(e20,e22) = e20
    | op2(e21,e22) = e20 ),
    inference('REWRITE',[status(thm)],[22079,412,46189,theory(equality)]) ).

cnf(46207,plain,
    ( op2(e21,e22) = e21
    | op2(e23,e22) = e21 ),
    inference('REWRITE',[status(thm)],[43560,415,46189,theory(equality)]) ).

cnf(46220,plain,
    ( op2(e23,e22) = e23
    | op2(op2(e22,e24),e23) = e24 ),
    inference('REWRITE',[status(thm)],[46020,418,46189,theory(equality)]) ).

cnf(46223,plain,
    ( op2(e22,e23) = e24
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[46077,419,46189,theory(equality)]) ).

cnf(46240,plain,
    ( op2(e22,e24) = e20
    | op2(e24,op2(e24,e22)) = e24 ),
    inference('REWRITE',[status(thm)],[46001,46187]) ).

cnf(46242,plain,
    ( op2(e22,e24) = e20
    | op2(e22,e23) = e23 ),
    inference('REWRITE',[status(thm)],[46005,46187]) ).

cnf(46244,plain,
    ( op2(e24,e22) = e24
    | op2(e22,e24) = e24 ),
    inference('REWRITE',[status(thm)],[46128,46183,theory(equality)]) ).

cnf(46246,plain,
    ( op1(e10,e12) = e11
    | h4(op1(e10,e12)) != op2(e24,e22)
    | h4(op1(e10,e14)) != op2(e24,e23)
    | h4(op1(e11,e10)) != op2(e20,e24)
    | h4(op1(e11,e12)) != op2(e20,e22)
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e14)) != e21
    | h4(op1(e12,e10)) != op2(e22,e24)
    | h4(op1(e12,e11)) != op2(e22,e20)
    | h4(op1(e12,e12)) != e22
    | h4(op1(e12,e13)) != op2(e22,e21)
    | h4(op1(e12,e14)) != op2(e22,e23)
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e11)) != op2(e21,e20)
    | h4(op1(e13,e12)) != op2(e21,e22)
    | h4(op1(e13,e14)) != e22
    | h4(op1(e14,e10)) != e22
    | h4(op1(e14,e12)) != op2(e23,e22)
    | h4(op1(e14,e13)) != op2(e23,e21) ),
    inference('REWRITE',[status(thm)],[46147,46189,46183,theory(equality)]) ).

cnf(46315,plain,
    ( op2(e20,e24) = e20
    | op2(e21,e20) = e20 ),
    inference('REWRITE',[status(thm)],[42437,413,45991,theory(equality)]) ).

cnf(46457,plain,
    ( op2(e23,e21) = e23
    | op2(e22,e23) = e24 ),
    inference('HYPERRESOLVE',[status(thm)],[45467,46008]) ).

cnf(46585,plain,
    ( op2(e20,e22) = e24
    | op2(e21,e20) = e20 ),
    inference('HYPERRESOLVE',[status(thm)],[23162,46117]) ).

cnf(46648,plain,
    ( op2(e24,e22) = e24
    | op2(e24,op2(e24,e22)) = e24 ),
    inference('PARAMODULATE',[status(thm)],[198,46244,theory(equality)]) ).

cnf(46741,plain,
    ( op2(e22,e23) = e23
    | op2(e21,e20) = e20 ),
    inference('HYPERRESOLVE',[status(thm)],[23162,46242]) ).

cnf(46770,plain,
    ( op2(e21,e20) = e20
    | op2(e24,e22) = e23 ),
    inference('HYPERRESOLVE',[status(thm)],[46109,46585]) ).

cnf(46948,plain,
    ( op2(e21,e20) = e20
    | op2(e23,e21) = e23 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46457,46741,theory(equality)]),420]) ).

cnf(47013,plain,
    ( op1(e11,e10) = e10
    | op1(e12,e11) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23177,23432,theory(equality)]),22725]) ).

cnf(47035,plain,
    ( op1(e11,e13) = e11
    | op1(e11,e13) = e12
    | op1(e13,e11) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23182,22741,theory(equality)]),403,22734,theory(equality)]) ).

cnf(47042,plain,
    ( op1(e10,e14) = e10
    | op1(e14,e10) = e12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23192,22778,theory(equality)]),407,6697,theory(equality)]) ).

cnf(47059,plain,
    ( op1(e10,e12) = e10
    | op1(e14,e10) = e12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23193,22782,theory(equality)]),22700]) ).

cnf(47060,plain,
    ( op1(e10,e13) = e11
    | op1(e14,e10) = e12 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23193,42449,theory(equality)]),22700]) ).

cnf(47074,plain,
    ( op1(e10,e13) = e11
    | op1(e13,e10) != e12 ),
    inference('PARAMODULATE',[status(thm)],[210,47060,theory(equality)]) ).

cnf(47087,plain,
    ( op1(e13,e10) = e11
    | op1(e13,e10) = e12
    | op1(e10,e13) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23198,22767,theory(equality)]),406,6697,theory(equality)]) ).

cnf(47088,plain,
    ( op1(e10,e14) = e10
    | op1(e14,e12) = e14 ),
    inference('PARAMODULATE',[status(thm)],[23204,47042,theory(equality)]) ).

cnf(47127,plain,
    ( op1(e10,e12) = e10
    | op1(e12,e10) = e10 ),
    inference('PARAMODULATE',[status(thm)],[23209,47059,theory(equality)]) ).

cnf(47423,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e10) = e11 ),
    inference('PARAMODULATE',[status(thm)],[42466,47013,theory(equality)]) ).

cnf(47425,plain,
    ( op1(e11,e10) = e10
    | op1(e11,e12) != e11 ),
    inference('PARAMODULATE',[status(thm)],[262,47423,theory(equality)]) ).

cnf(47497,plain,
    ( op2(e21,e20) = e20
    | op2(e24,e23) = e24 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46648,46770,theory(equality)]),420]) ).

cnf(47522,plain,
    op2(e21,e20) = e20,
    inference('HYPERRESOLVE',[status(thm)],[46191,47497,45581,46948,46315]) ).

cnf(47523,plain,
    op2(e22,e20) != e20,
    inference('REWRITE',[status(thm)],[305,47522,theory(equality)]) ).

cnf(47524,plain,
    op2(e22,e20) = e21,
    inference('REWRITE',[status(thm)],[46102,47523]) ).

cnf(47527,plain,
    op2(e22,e21) != e21,
    inference('REWRITE',[status(thm)],[371,47524,theory(equality)]) ).

cnf(47528,plain,
    op2(e22,e21) = e23,
    inference('REWRITE',[status(thm)],[22042,47527]) ).

cnf(47531,plain,
    op2(e23,e21) != e23,
    inference('REWRITE',[status(thm)],[318,47528,theory(equality)]) ).

cnf(47532,plain,
    op2(e23,e21) = e21,
    inference('REWRITE',[status(thm)],[22045,47531]) ).

cnf(47533,plain,
    op2(e23,e22) != e21,
    inference('REWRITE',[status(thm)],[385,47532,theory(equality)]) ).

cnf(47534,plain,
    op2(e21,e22) = e21,
    inference('REWRITE',[status(thm)],[46207,47533]) ).

cnf(47535,plain,
    op2(e20,e22) = e20,
    inference('REWRITE',[status(thm)],[46196,411,47534,theory(equality)]) ).

cnf(47536,plain,
    op2(e20,e24) != e20,
    inference('REWRITE',[status(thm)],[359,47535,theory(equality)]) ).

cnf(47537,plain,
    op2(e20,e24) = e24,
    inference('REWRITE',[status(thm)],[22194,47536]) ).

cnf(47538,plain,
    op2(e22,e24) != e24,
    inference('REWRITE',[status(thm)],[342,47537,theory(equality)]) ).

cnf(47539,plain,
    op2(e22,e23) = e24,
    inference('REWRITE',[status(thm)],[46223,47538]) ).

cnf(47542,plain,
    op2(e24,e23) != e24,
    inference('REWRITE',[status(thm)],[339,47539,theory(equality)]) ).

cnf(47543,plain,
    op2(e24,e23) = e23,
    inference('REWRITE',[status(thm)],[45543,47542]) ).

cnf(47544,plain,
    op2(e24,e22) != e23,
    inference('REWRITE',[status(thm)],[398,47543,theory(equality)]) ).

cnf(47545,plain,
    op2(e24,e22) = e24,
    inference('REWRITE',[status(thm)],[46105,47544]) ).

cnf(47548,plain,
    op2(e22,e24) = e20,
    inference('REWRITE',[status(thm)],[46240,417,6703,47545,theory(equality)]) ).

cnf(47549,plain,
    op2(e23,e22) = e23,
    inference('REWRITE',[status(thm)],[46220,417,43539,47548,theory(equality)]) ).

cnf(47551,plain,
    ( op1(e10,e12) = e11
    | h4(op1(e10,e12)) != e24
    | h4(op1(e10,e14)) != e23
    | h4(op1(e11,e10)) != e24
    | h4(op1(e11,e12)) != e20
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e14)) != e21
    | h4(op1(e12,e10)) != e20
    | h4(op1(e12,e11)) != e21
    | h4(op1(e12,e12)) != e22
    | h4(op1(e12,e13)) != e23
    | h4(op1(e12,e14)) != e24
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e11)) != e20
    | h4(op1(e13,e12)) != e21
    | h4(op1(e13,e14)) != e22
    | h4(op1(e14,e10)) != e22
    | h4(op1(e14,e12)) != e23
    | h4(op1(e14,e13)) != e21 ),
    inference('REWRITE',[status(thm)],[46246,47532,47549,47534,47539,47528,47524,47548,47535,47537,47543,47545,47522,theory(equality)]) ).

cnf(47691,plain,
    ( op1(e12,e13) = e11
    | op1(e12,e13) = e12
    | op1(e12,e13) = e13
    | op1(e14,e10) = e14
    | op1(e14,e12) = e14 ),
    inference('HYPERRESOLVE',[status(thm)],[23395,22743]) ).

cnf(47718,plain,
    ( op1(e11,e14) = e10
    | op1(e13,e10) = e14
    | op1(e10,e12) = e11 ),
    inference('PARAMODULATE',[status(thm)],[22689,23408,theory(equality)]) ).

cnf(47963,plain,
    ( op1(e11,e13) = e11
    | op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference('PARAMODULATE',[status(thm)],[23183,47035,theory(equality)]) ).

cnf(48000,plain,
    ( op1(e13,e10) = e11
    | op1(e10,e13) = e11 ),
    inference('HYPERRESOLVE',[status(thm)],[47074,47087]) ).

cnf(48003,plain,
    op1(e10,e13) = e11,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[23198,48000,theory(equality)]),403,22688,theory(equality)]) ).

cnf(48005,plain,
    op1(e11,op1(e13,e10)) = e13,
    inference('REWRITE',[status(thm)],[91,48003,theory(equality)]) ).

cnf(48006,plain,
    op1(e11,e13) != e11,
    inference('REWRITE',[status(thm)],[231,48003,theory(equality)]) ).

cnf(48007,plain,
    ( op1(e11,e13) = e12
    | op1(e11,e13) = e13 ),
    inference('REWRITE',[status(thm)],[22741,48006]) ).

cnf(48029,plain,
    ( op1(e13,e11) = e11
    | op1(e13,e12) = e11 ),
    inference('REWRITE',[status(thm)],[47963,48006]) ).

cnf(48048,plain,
    op1(e12,e13) != e11,
    inference('REWRITE',[status(thm)],[232,48003,theory(equality)]) ).

cnf(48049,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11
    | op1(e12,e12) = e11 ),
    inference('REWRITE',[status(thm)],[22672,48048]) ).

cnf(48057,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e13) = e13
    | op1(e14,e10) = e14
    | op1(e14,e12) = e14 ),
    inference('REWRITE',[status(thm)],[47691,48048]) ).

cnf(48059,plain,
    op1(e10,e12) != e11,
    inference('REWRITE',[status(thm)],[258,48003,theory(equality)]) ).

cnf(48060,plain,
    ( op1(e11,e12) = e11
    | op1(e12,e12) = e11
    | op1(e13,e12) = e11 ),
    inference('REWRITE',[status(thm)],[22684,48059]) ).

cnf(48067,plain,
    ( h4(op1(e10,e12)) != e24
    | h4(op1(e10,e14)) != e23
    | h4(op1(e11,e10)) != e24
    | h4(op1(e11,e12)) != e20
    | h4(op1(e11,e13)) != e22
    | h4(op1(e11,e14)) != e21
    | h4(op1(e12,e10)) != e20
    | h4(op1(e12,e11)) != e21
    | h4(op1(e12,e12)) != e22
    | h4(op1(e12,e13)) != e23
    | h4(op1(e12,e14)) != e24
    | h4(op1(e13,e10)) != e23
    | h4(op1(e13,e11)) != e20
    | h4(op1(e13,e12)) != e21
    | h4(op1(e13,e14)) != e22
    | h4(op1(e14,e10)) != e22
    | h4(op1(e14,e12)) != e23
    | h4(op1(e14,e13)) != e21 ),
    inference('REWRITE',[status(thm)],[47551,48059]) ).

cnf(48071,plain,
    ( op1(e11,e14) = e10
    | op1(e13,e10) = e14 ),
    inference('REWRITE',[status(thm)],[47718,48059]) ).

cnf(48078,plain,
    ( op1(e12,e13) = e14
    | op1(e14,e12) = e13 ),
    inference('REWRITE',[status(thm)],[23464,407,48003,theory(equality)]) ).

cnf(48241,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e11) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[88,48049,theory(equality)]),409,22302,theory(equality)]) ).

cnf(48258,plain,
    op1(e13,e10) = e14,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[22690,48071,theory(equality)]),410,22733,theory(equality)]) ).

cnf(48271,plain,
    op1(e14,e10) != e14,
    inference('REWRITE',[status(thm)],[210,48258,theory(equality)]) ).

cnf(48273,plain,
    op1(e14,e10) = e12,
    inference('REWRITE',[status(thm)],[22769,48271]) ).

cnf(48278,plain,
    op1(e12,e10) != e12,
    inference('REWRITE',[status(thm)],[209,48273,theory(equality)]) ).

cnf(48279,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e13) = e12
    | op1(e12,e14) = e12 ),
    inference('REWRITE',[status(thm)],[22714,48278]) ).

cnf(48309,plain,
    op1(e14,e13) != e12,
    inference('REWRITE',[status(thm)],[293,48273,theory(equality)]) ).

cnf(48314,plain,
    ( op1(e14,e13) = e13
    | op1(op1(e13,e14),e14) = e14 ),
    inference('REWRITE',[status(thm)],[23425,48309]) ).

cnf(48332,plain,
    ( op1(e14,e12) = e14
    | op1(op1(e13,e14),e14) = e14 ),
    inference('REWRITE',[status(thm)],[23397,48271]) ).

cnf(48347,plain,
    ( op1(e12,e13) = e12
    | op1(e12,e13) = e13
    | op1(e14,e12) = e14 ),
    inference('REWRITE',[status(thm)],[48057,48271]) ).

cnf(48348,plain,
    op1(e13,e12) != e14,
    inference('REWRITE',[status(thm)],[282,48258,theory(equality)]) ).

cnf(48353,plain,
    ( op1(e11,e12) = e13
    | op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(e10,e12) = e14
    | op1(e12,e12) = e14 ),
    inference('REWRITE',[status(thm)],[23729,48348]) ).

cnf(48359,plain,
    op1(e13,e14) != e14,
    inference('REWRITE',[status(thm)],[284,48258,theory(equality)]) ).

cnf(48360,plain,
    ( op1(e10,e14) = e14
    | op1(e12,e14) = e14 ),
    inference('REWRITE',[status(thm)],[22334,48359]) ).

cnf(48361,plain,
    ( op1(e13,e14) = e12
    | op1(e13,e14) = e13 ),
    inference('REWRITE',[status(thm)],[22752,48359]) ).

cnf(48376,plain,
    op1(e11,e14) = e13,
    inference('REWRITE',[status(thm)],[48005,48258,theory(equality)]) ).

cnf(48377,plain,
    op1(e12,e14) != e13,
    inference('REWRITE',[status(thm)],[245,48376,theory(equality)]) ).

cnf(48382,plain,
    ( op1(e12,e14) = e10
    | op1(e12,e14) = e12
    | op1(e14,op1(e14,e12)) = e14 ),
    inference('REWRITE',[status(thm)],[23670,48377]) ).

cnf(48384,plain,
    op1(e13,e14) != e13,
    inference('REWRITE',[status(thm)],[246,48376,theory(equality)]) ).

cnf(48385,plain,
    ( op1(e13,e11) = e13
    | op1(e13,e12) = e13 ),
    inference('REWRITE',[status(thm)],[22766,48384]) ).

cnf(48386,plain,
    op1(e13,e14) = e12,
    inference('REWRITE',[status(thm)],[48361,48384]) ).

cnf(48389,plain,
    op1(e12,e14) != e12,
    inference('REWRITE',[status(thm)],[248,48386,theory(equality)]) ).

cnf(48390,plain,
    ( op1(e12,e12) = e12
    | op1(e12,e13) = e12 ),
    inference('REWRITE',[status(thm)],[48279,48389]) ).

cnf(48395,plain,
    ( op1(e12,e14) = e10
    | op1(e14,op1(e14,e12)) = e14 ),
    inference('REWRITE',[status(thm)],[48382,48389]) ).

cnf(48401,plain,
    ( op1(e11,e13) = e13
    | op1(e12,e13) = e13
    | op1(e13,e12) = e13 ),
    inference('REWRITE',[status(thm)],[23523,48386,theory(equality)]) ).

cnf(48403,plain,
    ( op1(e14,e13) = e13
    | op1(e12,e14) = e14 ),
    inference('REWRITE',[status(thm)],[48314,48386,theory(equality)]) ).

cnf(48404,plain,
    ( op1(e14,e12) = e14
    | op1(e12,e14) = e14 ),
    inference('REWRITE',[status(thm)],[48332,48386,theory(equality)]) ).

cnf(48405,plain,
    op1(e11,e12) != e13,
    inference('REWRITE',[status(thm)],[269,48376,theory(equality)]) ).

cnf(48406,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11
    | op1(e11,e12) = e12 ),
    inference('REWRITE',[status(thm)],[22327,48405]) ).

cnf(48408,plain,
    ( op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(op1(e12,e14),e13) = e14 ),
    inference('REWRITE',[status(thm)],[23726,48405]) ).

cnf(48411,plain,
    ( op1(e12,e12) = e13
    | op1(e13,e12) = e13
    | op1(e10,e12) = e14
    | op1(e12,e12) = e14 ),
    inference('REWRITE',[status(thm)],[48353,48405]) ).

cnf(48412,plain,
    op1(e11,e13) != e13,
    inference('REWRITE',[status(thm)],[270,48376,theory(equality)]) ).

cnf(48413,plain,
    ( op1(e12,e13) = e13
    | op1(e14,e13) = e13 ),
    inference('REWRITE',[status(thm)],[22774,48412]) ).

cnf(48415,plain,
    op1(e11,e13) = e12,
    inference('REWRITE',[status(thm)],[48007,48412]) ).

cnf(48418,plain,
    op1(e12,e13) != e12,
    inference('REWRITE',[status(thm)],[235,48415,theory(equality)]) ).

cnf(48425,plain,
    ( op1(e12,e13) = e13
    | op1(e14,e12) = e14 ),
    inference('REWRITE',[status(thm)],[48347,48418]) ).

cnf(48426,plain,
    op1(e12,e12) = e12,
    inference('REWRITE',[status(thm)],[48390,48418]) ).

cnf(48427,plain,
    op1(e11,e12) != e12,
    inference('REWRITE',[status(thm)],[225,48426,theory(equality)]) ).

cnf(48428,plain,
    ( op1(e11,e12) = e10
    | op1(e11,e12) = e11 ),
    inference('REWRITE',[status(thm)],[48406,48427]) ).

cnf(48429,plain,
    ( op1(e11,e10) != e11
    | op1(e13,e11) != e13
    | op1(e14,e13) != e14
    | op1(e10,e14) != e10 ),
    inference('REWRITE',[status(thm)],[1516,48426,theory(equality)]) ).

cnf(48438,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e12) = e11 ),
    inference('REWRITE',[status(thm)],[48060,405,48426,theory(equality)]) ).

cnf(48455,plain,
    ( op1(e13,e12) = e13
    | op1(op1(e12,e14),e13) = e14 ),
    inference('REWRITE',[status(thm)],[48408,408,48426,theory(equality)]) ).

cnf(48458,plain,
    ( op1(e13,e12) = e13
    | op1(e10,e12) = e14 ),
    inference('REWRITE',[status(thm)],[48411,409,408,48426,theory(equality)]) ).

cnf(48459,plain,
    ( op1(e12,e13) = e13
    | op1(e13,e12) = e13 ),
    inference('REWRITE',[status(thm)],[48401,48412]) ).

cnf(48460,plain,
    ( h4(op1(e10,e12)) != e24
    | h4(op1(e10,e14)) != e23
    | h4(op1(e11,e10)) != e24
    | h4(op1(e11,e12)) != e20
    | h4(op1(e12,e10)) != e20
    | h4(op1(e12,e11)) != e21
    | h4(op1(e12,e13)) != e23
    | h4(op1(e12,e14)) != e24
    | h4(op1(e13,e11)) != e20
    | h4(op1(e13,e12)) != e21
    | h4(op1(e14,e12)) != e23
    | h4(op1(e14,e13)) != e21 ),
    inference('REWRITE',[status(thm)],[48067,48273,48386,6729,48426,46074,48376,46137,48415,48258,theory(equality)]) ).

cnf(48538,plain,
    ( op1(e11,e12) = e11
    | op1(e13,e11) = e13 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48385,48438,theory(equality)]),406]) ).

cnf(48549,plain,
    ( op1(e12,e14) = e14
    | op1(e12,e13) != e13 ),
    inference('PARAMODULATE',[status(thm)],[239,48403,theory(equality)]) ).

cnf(48556,plain,
    ( op1(e14,e12) = e14
    | op1(e14,op1(e14,e12)) = e14 ),
    inference('PARAMODULATE',[status(thm)],[98,48404,theory(equality)]) ).

cnf(48566,plain,
    ( op1(e10,e12) = e14
    | op1(e12,e11) = e13 ),
    inference('HYPERRESOLVE',[status(thm)],[23223,48458]) ).

cnf(48581,plain,
    ( op1(e12,e13) = e13
    | op1(e11,e12) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48438,48459,theory(equality)]),406]) ).

cnf(48591,plain,
    ( op1(e12,e13) = e13
    | op1(e10,e12) != e14 ),
    inference('PARAMODULATE',[status(thm)],[224,48425,theory(equality)]) ).

cnf(48616,plain,
    ( op1(e10,e12) = e14
    | op1(e12,e10) = e11 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48241,48566,theory(equality)]),406]) ).

cnf(48632,plain,
    ( op1(e11,e12) = e11
    | op1(e12,e14) = e14 ),
    inference('HYPERRESOLVE',[status(thm)],[48549,48581]) ).

cnf(48633,plain,
    ( op1(e11,e12) = e11
    | op1(e14,e12) = e13 ),
    inference('HYPERRESOLVE',[status(thm)],[23218,48581]) ).

cnf(48683,plain,
    ( op1(e12,e10) = e11
    | op1(e12,e13) = e13 ),
    inference('HYPERRESOLVE',[status(thm)],[48591,48616]) ).

cnf(48706,plain,
    ( op1(e11,e12) = e11
    | op1(e10,e14) = e10 ),
    inference('HYPERRESOLVE',[status(thm)],[23203,48632]) ).

cnf(48791,plain,
    ( op1(e12,e10) = e11
    | op1(e13,op1(e13,e12)) = e13 ),
    inference('PARAMODULATE',[status(thm)],[93,48683,theory(equality)]) ).

cnf(48828,plain,
    ( op1(e11,e12) = e11
    | op1(e14,e13) = e14 ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[48556,48633,theory(equality)]),410]) ).

cnf(48833,plain,
    ( op1(e11,e12) = e11
    | op1(e11,e10) = e10 ),
    inference('HYPERRESOLVE',[status(thm)],[48429,48828,47423,48538,48706]) ).

cnf(48890,plain,
    op1(e11,e10) = e10,
    inference('HYPERRESOLVE',[status(thm)],[47425,48833]) ).

cnf(48891,plain,
    op1(e12,e10) != e10,
    inference('REWRITE',[status(thm)],[205,48890,theory(equality)]) ).

cnf(48892,plain,
    op1(e10,e12) = e10,
    inference('REWRITE',[status(thm)],[47127,48891]) ).

cnf(48895,plain,
    op1(e11,e12) != e10,
    inference('REWRITE',[status(thm)],[221,48892,theory(equality)]) ).

cnf(48896,plain,
    op1(e11,e12) = e11,
    inference('REWRITE',[status(thm)],[48428,48895]) ).

cnf(48899,plain,
    op1(e13,e12) != e11,
    inference('REWRITE',[status(thm)],[226,48896,theory(equality)]) ).

cnf(48900,plain,
    op1(e13,e11) = e11,
    inference('REWRITE',[status(thm)],[48029,48899]) ).

cnf(48901,plain,
    op1(e12,e11) != e11,
    inference('REWRITE',[status(thm)],[218,48900,theory(equality)]) ).

cnf(48902,plain,
    op1(e12,e11) = e13,
    inference('REWRITE',[status(thm)],[22715,48901]) ).

cnf(48903,plain,
    op1(e12,e13) != e13,
    inference('REWRITE',[status(thm)],[276,48902,theory(equality)]) ).

cnf(48904,plain,
    op1(e14,e13) = e13,
    inference('REWRITE',[status(thm)],[48413,48903]) ).

cnf(48905,plain,
    op1(e14,e12) != e13,
    inference('REWRITE',[status(thm)],[298,48904,theory(equality)]) ).

cnf(48906,plain,
    op1(e12,e13) = e14,
    inference('REWRITE',[status(thm)],[48078,48905]) ).

cnf(48909,plain,
    op1(e12,e14) != e14,
    inference('REWRITE',[status(thm)],[280,48906,theory(equality)]) ).

cnf(48910,plain,
    op1(e10,e14) = e14,
    inference('REWRITE',[status(thm)],[48360,48909]) ).

cnf(48911,plain,
    op1(e14,e12) = e14,
    inference('REWRITE',[status(thm)],[47088,404,48910,theory(equality)]) ).

cnf(48914,plain,
    op1(e12,e14) = e10,
    inference('REWRITE',[status(thm)],[48395,407,6697,48911,theory(equality)]) ).

cnf(48915,plain,
    op1(e13,e12) = e13,
    inference('REWRITE',[status(thm)],[48455,407,48003,48914,theory(equality)]) ).

cnf(48916,plain,
    op1(e12,e10) = e11,
    inference('REWRITE',[status(thm)],[48791,403,22734,48915,theory(equality)]) ).

cnf(48917,plain,
    $false,
    inference('REWRITE',[status(thm)],[48460,48904,48911,48915,48900,48914,48906,46074,48902,48916,22063,48896,6729,48910,46073,48892,48890,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG166+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13  % 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 : Tue Jun  7 23:11:49 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 2022-06-07T23:11:49
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-07T23:11:49
% 185.71/185.90  
% 185.71/185.90  
% 185.71/185.90  #||
% 185.71/185.90  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 185.71/185.90  % SZS output start Refutation
% See solution above
% 185.84/186.04  ||#
% 185.84/186.04  
% 185.84/186.04  ; Summary of computation:
% 185.84/186.04  ;    109182 formulas have been input or derived (from 2171 formulas).
% 185.84/186.04  ;     48917 (45%) were retained.  Of these,
% 185.84/186.04  ;        48796 (100%) were simplified or subsumed later,
% 185.84/186.04  ;          121 ( 0%) are still being kept.
% 185.84/186.04  ; 
% 185.84/186.04  ; Run time in seconds excluding printing time:
% 185.84/186.04  ;     0.092   0%   Read assertion file          (1 call)
% 185.84/186.04  ;    11.767   6%   Assert                       (21 calls)
% 185.84/186.04  ;    18.889  10%   Process new row              (103,349 calls)
% 185.84/186.04  ;     3.092   2%   Resolution                   (4,340 calls)
% 185.84/186.04  ;     2.389   1%   Paramodulation               (2,170 calls)
% 185.84/186.04  ;     0.003   0%   Factoring                    (626 calls)
% 185.84/186.04  ;     0.207   0%   Condensing                   (56,250 calls)
% 185.84/186.04  ;    35.531  19%   Forward subsumption          (56,250 calls)
% 185.84/186.04  ;    11.659   6%   Backward subsumption         (42,664 calls)
% 185.84/186.04  ;    57.449  31%   Clause clause subsumption    (750,862 calls)
% 185.84/186.04  ;    32.592  18%   Forward simplification       (102,993 calls)
% 185.84/186.04  ;    10.715   6%   Backward simplification      (43,349 calls)
% 185.84/186.04  ;     0.470   0%   Ordering                     (306,779 calls)
% 185.84/186.04  ;     0.000   0%   Sortal reasoning             (32 calls)
% 185.84/186.04  ;     0.090   0%   Purity testing               (1 call)
% 185.84/186.04  ;     0.467   0%   Other
% 185.84/186.04  ;   185.412        Total
% 185.84/186.04  ;   185.573        Real time
% 185.84/186.04  ; 
% 185.84/186.04  ; Term-hash-array has 2,166 terms in all.
% 185.84/186.04  ; Feature-vector-row-index has 0 entries (21,025 at peak, 42,664 added, 42,664 deleted).
% 185.84/186.04  ; Feature-vector-row-index has 1 node (84,475 at peak, 192,103 added, 192,102 deleted).
% 185.84/186.04  ;  Retrieved 527,651 possibly forward subsuming rows in 56,250 calls.
% 185.84/186.04  ;  Retrieved 336,508 possibly backward subsumed rows in 42,664 calls.
% 185.84/186.04  ; Path-index has 205 entries (1,403 at peak, 5,842 added, 5,637 deleted).
% 185.84/186.04  ; Path-index has 224 nodes (496 at peak, 1,822 added, 1,598 deleted).
% 185.84/186.04  ; Trie-index has 205 entries (1,403 at peak, 5,842 added, 5,637 deleted).
% 185.84/186.04  ; Trie-index has 325 nodes (2,890 at peak, 12,424 added, 12,099 deleted).
% 185.84/186.04  ; Retrieved 1,181,625 generalization terms in 7,169,362 calls.
% 185.84/186.04  ; Retrieved 684 instance terms in 684 calls.
% 185.84/186.04  ; Retrieved 19,016 unifiable terms in 45,286 calls.
% 185.84/186.04  ; 
% 185.84/186.04  ; The agenda of backward simplifiable rows to process has 106 entries:
% 185.84/186.04  ;   106 with value 0
% 185.84/186.04  ; The agenda of rows to process has 33 entries:
% 185.84/186.04  ;     6 with value 17              2 with value 23               1 with value 25
% 185.84/186.04  ;     8 with value 20              9 with value 24               6 with value 27
% 185.84/186.04  ;     1 with value 21
% 185.84/186.04  ; The agenda of input rows to give has 4 entries:
% 185.84/186.04  ;     4 with value 7
% 185.84/186.04  ; The agenda of rows to give has 8 entries:
% 185.84/186.04  ;     3 with value (4 8)           1 with value (4 12)           1 with value (4 13)
% 185.84/186.04  ;     3 with value (4 10)
% 185.84/186.04  Evaluation took:
% 185.84/186.04    185.574 seconds of real time
% 185.84/186.04    181.21693 seconds of user run time
% 185.84/186.04    4.335256 seconds of system run time
% 185.84/186.04    [Run times include 16.237 seconds GC run time.]
% 185.84/186.04    0 calls to %EVAL
% 185.84/186.04    0 page faults and
% 185.84/186.04    17,657,565,400 bytes consed.
% 185.84/186.04  :PROOF-FOUND
% 185.84/186.04  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T23:14:55
% 185.84/186.04  :PROOF-FOUND
% 185.84/186.04  * 
%------------------------------------------------------------------------------