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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 12:53:24 PM UTC 2026

% Result   : Theorem 3.70s 1.29s
% Output   : CNFRefutation 3.70s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f120ERROR: Could not build tree for root c_3485ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ( e3 != e4
    & e2 != e4
    & e2 != e3
    & e1 != e4
    & e1 != e3
    & e1 != e2
    & e0 != e4
    & e0 != e3
    & e0 != e2
    & e0 != e1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ( op(e4,e4) = e2
    & op(e4,e3) = e1
    & op(e4,e2) = e0
    & op(e4,e1) = e3
    & op(e4,e0) = e4
    & op(e3,e4) = e0
    & op(e3,e3) = e4
    & op(e3,e2) = e1
    & op(e3,e1) = e2
    & op(e3,e0) = e3
    & op(e2,e4) = e1
    & op(e2,e3) = e0
    & op(e2,e2) = e3
    & op(e2,e1) = e4
    & op(e2,e0) = e2
    & op(e1,e4) = e3
    & op(e1,e3) = e2
    & op(e1,e2) = e4
    & op(e1,e1) = e0
    & op(e1,e0) = e1
    & op(e0,e4) = e4
    & op(e0,e3) = e3
    & op(e0,e2) = e2
    & op(e0,e1) = e1
    & op(e0,e0) = e0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    unit = e0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f199,plain,
    ( ~ sP190
    | ( e4 != op(e0,e0)
      & e3 != op(e0,e0)
      & e2 != op(e0,e0)
      & e1 != op(e0,e0)
      & e0 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f197]) ).

fof(f200,plain,
    ( ~ sP189
    | ( e4 != op(e0,e1)
      & e3 != op(e0,e1)
      & e2 != op(e0,e1)
      & e1 != op(e0,e1)
      & e0 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f196]) ).

fof(f201,plain,
    ( ~ sP188
    | ( e4 != op(e0,e2)
      & e3 != op(e0,e2)
      & e2 != op(e0,e2)
      & e1 != op(e0,e2)
      & e0 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f195]) ).

fof(f202,plain,
    ( ~ sP187
    | ( e4 != op(e0,e3)
      & e3 != op(e0,e3)
      & e2 != op(e0,e3)
      & e1 != op(e0,e3)
      & e0 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f194]) ).

fof(f203,plain,
    ( ~ sP186
    | ( e4 != op(e0,e4)
      & e3 != op(e0,e4)
      & e2 != op(e0,e4)
      & e1 != op(e0,e4)
      & e0 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f193]) ).

fof(f204,plain,
    ( ~ sP185
    | ( e4 != op(e1,e0)
      & e3 != op(e1,e0)
      & e2 != op(e1,e0)
      & e1 != op(e1,e0)
      & e0 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f192]) ).

fof(f205,plain,
    ( ~ sP184
    | ( e4 != op(e1,e1)
      & e3 != op(e1,e1)
      & e2 != op(e1,e1)
      & e1 != op(e1,e1)
      & e0 != op(e1,e1) ) ),
    inference(nnf_transformation,[],[f191]) ).

fof(f206,plain,
    ( ~ sP183
    | ( e4 != op(e1,e2)
      & e3 != op(e1,e2)
      & e2 != op(e1,e2)
      & e1 != op(e1,e2)
      & e0 != op(e1,e2) ) ),
    inference(nnf_transformation,[],[f190]) ).

fof(f207,plain,
    ( ~ sP182
    | ( e4 != op(e1,e3)
      & e3 != op(e1,e3)
      & e2 != op(e1,e3)
      & e1 != op(e1,e3)
      & e0 != op(e1,e3) ) ),
    inference(nnf_transformation,[],[f189]) ).

fof(f208,plain,
    ( ~ sP181
    | ( e4 != op(e1,e4)
      & e3 != op(e1,e4)
      & e2 != op(e1,e4)
      & e1 != op(e1,e4)
      & e0 != op(e1,e4) ) ),
    inference(nnf_transformation,[],[f188]) ).

fof(f209,plain,
    ( ~ sP180
    | ( e4 != op(e2,e0)
      & e3 != op(e2,e0)
      & e2 != op(e2,e0)
      & e1 != op(e2,e0)
      & e0 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f187]) ).

fof(f210,plain,
    ( ~ sP179
    | ( e4 != op(e2,e1)
      & e3 != op(e2,e1)
      & e2 != op(e2,e1)
      & e1 != op(e2,e1)
      & e0 != op(e2,e1) ) ),
    inference(nnf_transformation,[],[f186]) ).

fof(f211,plain,
    ( ~ sP178
    | ( e4 != op(e2,e2)
      & e3 != op(e2,e2)
      & e2 != op(e2,e2)
      & e1 != op(e2,e2)
      & e0 != op(e2,e2) ) ),
    inference(nnf_transformation,[],[f185]) ).

fof(f212,plain,
    ( ~ sP177
    | ( e4 != op(e2,e3)
      & e3 != op(e2,e3)
      & e2 != op(e2,e3)
      & e1 != op(e2,e3)
      & e0 != op(e2,e3) ) ),
    inference(nnf_transformation,[],[f184]) ).

fof(f213,plain,
    ( ~ sP176
    | ( e4 != op(e2,e4)
      & e3 != op(e2,e4)
      & e2 != op(e2,e4)
      & e1 != op(e2,e4)
      & e0 != op(e2,e4) ) ),
    inference(nnf_transformation,[],[f183]) ).

fof(f214,plain,
    ( ~ sP175
    | ( e4 != op(e3,e0)
      & e3 != op(e3,e0)
      & e2 != op(e3,e0)
      & e1 != op(e3,e0)
      & e0 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f182]) ).

fof(f215,plain,
    ( ~ sP174
    | ( e4 != op(e3,e1)
      & e3 != op(e3,e1)
      & e2 != op(e3,e1)
      & e1 != op(e3,e1)
      & e0 != op(e3,e1) ) ),
    inference(nnf_transformation,[],[f181]) ).

fof(f216,plain,
    ( ~ sP173
    | ( e4 != op(e3,e2)
      & e3 != op(e3,e2)
      & e2 != op(e3,e2)
      & e1 != op(e3,e2)
      & e0 != op(e3,e2) ) ),
    inference(nnf_transformation,[],[f180]) ).

fof(f217,plain,
    ( ~ sP172
    | ( e4 != op(e3,e3)
      & e3 != op(e3,e3)
      & e2 != op(e3,e3)
      & e1 != op(e3,e3)
      & e0 != op(e3,e3) ) ),
    inference(nnf_transformation,[],[f179]) ).

fof(f218,plain,
    ( ~ sP171
    | ( e4 != op(e3,e4)
      & e3 != op(e3,e4)
      & e2 != op(e3,e4)
      & e1 != op(e3,e4)
      & e0 != op(e3,e4) ) ),
    inference(nnf_transformation,[],[f178]) ).

fof(f219,plain,
    ( ~ sP170
    | ( e4 != op(e4,e0)
      & e3 != op(e4,e0)
      & e2 != op(e4,e0)
      & e1 != op(e4,e0)
      & e0 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f177]) ).

fof(f220,plain,
    ( ~ sP169
    | ( e4 != op(e4,e1)
      & e3 != op(e4,e1)
      & e2 != op(e4,e1)
      & e1 != op(e4,e1)
      & e0 != op(e4,e1) ) ),
    inference(nnf_transformation,[],[f176]) ).

fof(f221,plain,
    ( ~ sP168
    | ( e4 != op(e4,e2)
      & e3 != op(e4,e2)
      & e2 != op(e4,e2)
      & e1 != op(e4,e2)
      & e0 != op(e4,e2) ) ),
    inference(nnf_transformation,[],[f175]) ).

fof(f222,plain,
    ( ~ sP167
    | ( e4 != op(e4,e3)
      & e3 != op(e4,e3)
      & e2 != op(e4,e3)
      & e1 != op(e4,e3)
      & e0 != op(e4,e3) ) ),
    inference(nnf_transformation,[],[f174]) ).

fof(f223,plain,
    ( ~ sP166
    | ( e4 != op(e4,e4)
      & e3 != op(e4,e4)
      & e2 != op(e4,e4)
      & e1 != op(e4,e4)
      & e0 != op(e4,e4) ) ),
    inference(nnf_transformation,[],[f173]) ).

fof(f225,plain,
    ( ~ sP164
    | ( e0 != op(e0,e4)
      & e0 != op(e0,e3)
      & e0 != op(e0,e2)
      & e0 != op(e0,e1)
      & e0 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f171]) ).

fof(f226,plain,
    ( ~ sP163
    | ( e0 != op(e4,e0)
      & e0 != op(e3,e0)
      & e0 != op(e2,e0)
      & e0 != op(e1,e0)
      & e0 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f170]) ).

fof(f227,plain,
    ( ~ sP162
    | ( e1 != op(e0,e4)
      & e1 != op(e0,e3)
      & e1 != op(e0,e2)
      & e1 != op(e0,e1)
      & e1 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f169]) ).

fof(f228,plain,
    ( ~ sP161
    | ( e1 != op(e4,e0)
      & e1 != op(e3,e0)
      & e1 != op(e2,e0)
      & e1 != op(e1,e0)
      & e1 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f168]) ).

fof(f229,plain,
    ( ~ sP160
    | ( e2 != op(e0,e4)
      & e2 != op(e0,e3)
      & e2 != op(e0,e2)
      & e2 != op(e0,e1)
      & e2 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f167]) ).

fof(f230,plain,
    ( ~ sP159
    | ( e2 != op(e4,e0)
      & e2 != op(e3,e0)
      & e2 != op(e2,e0)
      & e2 != op(e1,e0)
      & e2 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f166]) ).

fof(f231,plain,
    ( ~ sP158
    | ( e3 != op(e0,e4)
      & e3 != op(e0,e3)
      & e3 != op(e0,e2)
      & e3 != op(e0,e1)
      & e3 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f165]) ).

fof(f232,plain,
    ( ~ sP157
    | ( e3 != op(e4,e0)
      & e3 != op(e3,e0)
      & e3 != op(e2,e0)
      & e3 != op(e1,e0)
      & e3 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f164]) ).

fof(f233,plain,
    ( ~ sP156
    | ( e4 != op(e0,e4)
      & e4 != op(e0,e3)
      & e4 != op(e0,e2)
      & e4 != op(e0,e1)
      & e4 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f163]) ).

fof(f234,plain,
    ( ~ sP155
    | ( e4 != op(e4,e0)
      & e4 != op(e3,e0)
      & e4 != op(e2,e0)
      & e4 != op(e1,e0)
      & e4 != op(e0,e0) ) ),
    inference(nnf_transformation,[],[f162]) ).

fof(f235,plain,
    ( ~ sP154
    | ( e0 != op(e1,e4)
      & e0 != op(e1,e3)
      & e0 != op(e1,e2)
      & e0 != op(e1,e1)
      & e0 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f161]) ).

fof(f236,plain,
    ( ~ sP153
    | ( e0 != op(e4,e1)
      & e0 != op(e3,e1)
      & e0 != op(e2,e1)
      & e0 != op(e1,e1)
      & e0 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f160]) ).

fof(f237,plain,
    ( ~ sP152
    | ( e1 != op(e1,e4)
      & e1 != op(e1,e3)
      & e1 != op(e1,e2)
      & e1 != op(e1,e1)
      & e1 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f159]) ).

fof(f238,plain,
    ( ~ sP151
    | ( e1 != op(e4,e1)
      & e1 != op(e3,e1)
      & e1 != op(e2,e1)
      & e1 != op(e1,e1)
      & e1 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f158]) ).

fof(f239,plain,
    ( ~ sP150
    | ( e2 != op(e1,e4)
      & e2 != op(e1,e3)
      & e2 != op(e1,e2)
      & e2 != op(e1,e1)
      & e2 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f157]) ).

fof(f240,plain,
    ( ~ sP149
    | ( e2 != op(e4,e1)
      & e2 != op(e3,e1)
      & e2 != op(e2,e1)
      & e2 != op(e1,e1)
      & e2 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f156]) ).

fof(f241,plain,
    ( ~ sP148
    | ( e3 != op(e1,e4)
      & e3 != op(e1,e3)
      & e3 != op(e1,e2)
      & e3 != op(e1,e1)
      & e3 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f155]) ).

fof(f242,plain,
    ( ~ sP147
    | ( e3 != op(e4,e1)
      & e3 != op(e3,e1)
      & e3 != op(e2,e1)
      & e3 != op(e1,e1)
      & e3 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f154]) ).

fof(f243,plain,
    ( ~ sP146
    | ( e4 != op(e1,e4)
      & e4 != op(e1,e3)
      & e4 != op(e1,e2)
      & e4 != op(e1,e1)
      & e4 != op(e1,e0) ) ),
    inference(nnf_transformation,[],[f153]) ).

fof(f244,plain,
    ( ~ sP145
    | ( e4 != op(e4,e1)
      & e4 != op(e3,e1)
      & e4 != op(e2,e1)
      & e4 != op(e1,e1)
      & e4 != op(e0,e1) ) ),
    inference(nnf_transformation,[],[f152]) ).

fof(f245,plain,
    ( ~ sP144
    | ( e0 != op(e2,e4)
      & e0 != op(e2,e3)
      & e0 != op(e2,e2)
      & e0 != op(e2,e1)
      & e0 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f151]) ).

fof(f246,plain,
    ( ~ sP143
    | ( e0 != op(e4,e2)
      & e0 != op(e3,e2)
      & e0 != op(e2,e2)
      & e0 != op(e1,e2)
      & e0 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f150]) ).

fof(f247,plain,
    ( ~ sP142
    | ( e1 != op(e2,e4)
      & e1 != op(e2,e3)
      & e1 != op(e2,e2)
      & e1 != op(e2,e1)
      & e1 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f149]) ).

fof(f248,plain,
    ( ~ sP141
    | ( e1 != op(e4,e2)
      & e1 != op(e3,e2)
      & e1 != op(e2,e2)
      & e1 != op(e1,e2)
      & e1 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f148]) ).

fof(f249,plain,
    ( ~ sP140
    | ( e2 != op(e2,e4)
      & e2 != op(e2,e3)
      & e2 != op(e2,e2)
      & e2 != op(e2,e1)
      & e2 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f147]) ).

fof(f250,plain,
    ( ~ sP139
    | ( e2 != op(e4,e2)
      & e2 != op(e3,e2)
      & e2 != op(e2,e2)
      & e2 != op(e1,e2)
      & e2 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f146]) ).

fof(f251,plain,
    ( ~ sP138
    | ( e3 != op(e2,e4)
      & e3 != op(e2,e3)
      & e3 != op(e2,e2)
      & e3 != op(e2,e1)
      & e3 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f145]) ).

fof(f252,plain,
    ( ~ sP137
    | ( e3 != op(e4,e2)
      & e3 != op(e3,e2)
      & e3 != op(e2,e2)
      & e3 != op(e1,e2)
      & e3 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f144]) ).

fof(f253,plain,
    ( ~ sP136
    | ( e4 != op(e2,e4)
      & e4 != op(e2,e3)
      & e4 != op(e2,e2)
      & e4 != op(e2,e1)
      & e4 != op(e2,e0) ) ),
    inference(nnf_transformation,[],[f143]) ).

fof(f254,plain,
    ( ~ sP135
    | ( e4 != op(e4,e2)
      & e4 != op(e3,e2)
      & e4 != op(e2,e2)
      & e4 != op(e1,e2)
      & e4 != op(e0,e2) ) ),
    inference(nnf_transformation,[],[f142]) ).

fof(f255,plain,
    ( ~ sP134
    | ( e0 != op(e3,e4)
      & e0 != op(e3,e3)
      & e0 != op(e3,e2)
      & e0 != op(e3,e1)
      & e0 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f141]) ).

fof(f256,plain,
    ( ~ sP133
    | ( e0 != op(e4,e3)
      & e0 != op(e3,e3)
      & e0 != op(e2,e3)
      & e0 != op(e1,e3)
      & e0 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f257,plain,
    ( ~ sP132
    | ( e1 != op(e3,e4)
      & e1 != op(e3,e3)
      & e1 != op(e3,e2)
      & e1 != op(e3,e1)
      & e1 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f258,plain,
    ( ~ sP131
    | ( e1 != op(e4,e3)
      & e1 != op(e3,e3)
      & e1 != op(e2,e3)
      & e1 != op(e1,e3)
      & e1 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f138]) ).

fof(f259,plain,
    ( ~ sP130
    | ( e2 != op(e3,e4)
      & e2 != op(e3,e3)
      & e2 != op(e3,e2)
      & e2 != op(e3,e1)
      & e2 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f137]) ).

fof(f260,plain,
    ( ~ sP129
    | ( e2 != op(e4,e3)
      & e2 != op(e3,e3)
      & e2 != op(e2,e3)
      & e2 != op(e1,e3)
      & e2 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f136]) ).

fof(f261,plain,
    ( ~ sP128
    | ( e3 != op(e3,e4)
      & e3 != op(e3,e3)
      & e3 != op(e3,e2)
      & e3 != op(e3,e1)
      & e3 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f262,plain,
    ( ~ sP127
    | ( e3 != op(e4,e3)
      & e3 != op(e3,e3)
      & e3 != op(e2,e3)
      & e3 != op(e1,e3)
      & e3 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f134]) ).

fof(f263,plain,
    ( ~ sP126
    | ( e4 != op(e3,e4)
      & e4 != op(e3,e3)
      & e4 != op(e3,e2)
      & e4 != op(e3,e1)
      & e4 != op(e3,e0) ) ),
    inference(nnf_transformation,[],[f133]) ).

fof(f264,plain,
    ( ~ sP125
    | ( e4 != op(e4,e3)
      & e4 != op(e3,e3)
      & e4 != op(e2,e3)
      & e4 != op(e1,e3)
      & e4 != op(e0,e3) ) ),
    inference(nnf_transformation,[],[f132]) ).

fof(f265,plain,
    ( ~ sP124
    | ( e0 != op(e4,e4)
      & e0 != op(e4,e3)
      & e0 != op(e4,e2)
      & e0 != op(e4,e1)
      & e0 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f131]) ).

fof(f266,plain,
    ( ~ sP123
    | ( e0 != op(e4,e4)
      & e0 != op(e3,e4)
      & e0 != op(e2,e4)
      & e0 != op(e1,e4)
      & e0 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f267,plain,
    ( ~ sP122
    | ( e1 != op(e4,e4)
      & e1 != op(e4,e3)
      & e1 != op(e4,e2)
      & e1 != op(e4,e1)
      & e1 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f129]) ).

fof(f268,plain,
    ( ~ sP121
    | ( e1 != op(e4,e4)
      & e1 != op(e3,e4)
      & e1 != op(e2,e4)
      & e1 != op(e1,e4)
      & e1 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f128]) ).

fof(f269,plain,
    ( ~ sP120
    | ( e2 != op(e4,e4)
      & e2 != op(e4,e3)
      & e2 != op(e4,e2)
      & e2 != op(e4,e1)
      & e2 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f127]) ).

fof(f270,plain,
    ( ~ sP119
    | ( e2 != op(e4,e4)
      & e2 != op(e3,e4)
      & e2 != op(e2,e4)
      & e2 != op(e1,e4)
      & e2 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f126]) ).

fof(f271,plain,
    ( ~ sP118
    | ( e3 != op(e4,e4)
      & e3 != op(e4,e3)
      & e3 != op(e4,e2)
      & e3 != op(e4,e1)
      & e3 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f272,plain,
    ( ~ sP117
    | ( e3 != op(e4,e4)
      & e3 != op(e3,e4)
      & e3 != op(e2,e4)
      & e3 != op(e1,e4)
      & e3 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f273,plain,
    ( ~ sP116
    | ( e4 != op(e4,e4)
      & e4 != op(e4,e3)
      & e4 != op(e4,e2)
      & e4 != op(e4,e1)
      & e4 != op(e4,e0) ) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f274,plain,
    ( ~ sP115
    | ( e4 != op(e4,e4)
      & e4 != op(e3,e4)
      & e4 != op(e2,e4)
      & e4 != op(e1,e4)
      & e4 != op(e0,e4) ) ),
    inference(nnf_transformation,[],[f122]) ).

fof(f275,plain,
    ( ~ sP114
    | sP88
    | sP89
    | sP90
    | sP91
    | sP92
    | sP93
    | sP94
    | sP95
    | sP96
    | sP97
    | sP98
    | sP99
    | sP100
    | sP101
    | sP102
    | sP103
    | sP104
    | sP105
    | sP106
    | sP107
    | sP108
    | sP109
    | ( ( e0 = unit
        | e2 != op(e0,e0) )
      & e0 = op(e0,e2) )
    | ( ( e0 = unit
        | e1 != op(e0,e0) )
      & e0 = op(e0,e1) )
    | ( ( e0 = unit
        | e0 != op(e0,e0) )
      & e0 = op(e0,e0) ) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f276,plain,
    ( ~ sP113
    | sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | ( ( e1 = unit
        | e2 != op(e0,e1) )
      & e1 = op(e0,e2) )
    | ( ( e1 = unit
        | e1 != op(e0,e1) )
      & e1 = op(e0,e1) )
    | ( ( e1 = unit
        | e0 != op(e0,e1) )
      & e1 = op(e0,e0) ) ),
    inference(nnf_transformation,[],[f120]) ).

fof(f290,plain,
    ( ~ sP99
    | ( ( e0 = unit
        | e3 != op(e2,e0) )
      & e0 = op(e2,e3) ) ),
    inference(nnf_transformation,[],[f106]) ).

fof(f296,plain,
    ( ~ sP93
    | ( ( e0 = unit
        | e4 != op(e3,e0) )
      & e0 = op(e3,e4) ) ),
    inference(nnf_transformation,[],[f100]) ).

fof(f299,plain,
    ( ~ sP90
    | ( ( e0 = unit
        | e2 != op(e4,e0) )
      & e0 = op(e4,e2) ) ),
    inference(nnf_transformation,[],[f97]) ).

fof(f302,plain,
    ( ~ sP87
    | ( ( e1 = unit
        | e3 != op(e0,e1) )
      & e1 = op(e0,e3) ) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f303,plain,
    ( ~ sP86
    | ( ( e1 = unit
        | e4 != op(e0,e1) )
      & e1 = op(e0,e4) ) ),
    inference(nnf_transformation,[],[f93]) ).

fof(f304,plain,
    ( ~ sP85
    | ( ( e1 = unit
        | e0 != op(e1,e1) )
      & e1 = op(e1,e0) ) ),
    inference(nnf_transformation,[],[f92]) ).

fof(f305,plain,
    ( ~ sP84
    | ( ( e1 = unit
        | e1 != op(e1,e1) )
      & e1 = op(e1,e1) ) ),
    inference(nnf_transformation,[],[f91]) ).

fof(f306,plain,
    ( ~ sP83
    | ( ( e1 = unit
        | e2 != op(e1,e1) )
      & e1 = op(e1,e2) ) ),
    inference(nnf_transformation,[],[f90]) ).

fof(f307,plain,
    ( ~ sP82
    | ( ( e1 = unit
        | e3 != op(e1,e1) )
      & e1 = op(e1,e3) ) ),
    inference(nnf_transformation,[],[f89]) ).

fof(f308,plain,
    ( ~ sP81
    | ( ( e1 = unit
        | e4 != op(e1,e1) )
      & e1 = op(e1,e4) ) ),
    inference(nnf_transformation,[],[f88]) ).

fof(f309,plain,
    ( ~ sP80
    | ( ( e1 = unit
        | e0 != op(e2,e1) )
      & e1 = op(e2,e0) ) ),
    inference(nnf_transformation,[],[f87]) ).

fof(f310,plain,
    ( ~ sP79
    | ( ( e1 = unit
        | e1 != op(e2,e1) )
      & e1 = op(e2,e1) ) ),
    inference(nnf_transformation,[],[f86]) ).

fof(f311,plain,
    ( ~ sP78
    | ( ( e1 = unit
        | e2 != op(e2,e1) )
      & e1 = op(e2,e2) ) ),
    inference(nnf_transformation,[],[f85]) ).

fof(f312,plain,
    ( ~ sP77
    | ( ( e1 = unit
        | e3 != op(e2,e1) )
      & e1 = op(e2,e3) ) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f313,plain,
    ( ~ sP76
    | ( ( e1 = unit
        | e4 != op(e2,e1) )
      & e1 = op(e2,e4) ) ),
    inference(nnf_transformation,[],[f83]) ).

fof(f314,plain,
    ( ~ sP75
    | ( ( e1 = unit
        | e0 != op(e3,e1) )
      & e1 = op(e3,e0) ) ),
    inference(nnf_transformation,[],[f82]) ).

fof(f315,plain,
    ( ~ sP74
    | ( ( e1 = unit
        | e1 != op(e3,e1) )
      & e1 = op(e3,e1) ) ),
    inference(nnf_transformation,[],[f81]) ).

fof(f316,plain,
    ( ~ sP73
    | ( ( e1 = unit
        | e2 != op(e3,e1) )
      & e1 = op(e3,e2) ) ),
    inference(nnf_transformation,[],[f80]) ).

fof(f317,plain,
    ( ~ sP72
    | ( ( e1 = unit
        | e3 != op(e3,e1) )
      & e1 = op(e3,e3) ) ),
    inference(nnf_transformation,[],[f79]) ).

fof(f318,plain,
    ( ~ sP71
    | ( ( e1 = unit
        | e4 != op(e3,e1) )
      & e1 = op(e3,e4) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f319,plain,
    ( ~ sP70
    | ( ( e1 = unit
        | e0 != op(e4,e1) )
      & e1 = op(e4,e0) ) ),
    inference(nnf_transformation,[],[f77]) ).

fof(f320,plain,
    ( ~ sP69
    | ( ( e1 = unit
        | e1 != op(e4,e1) )
      & e1 = op(e4,e1) ) ),
    inference(nnf_transformation,[],[f76]) ).

fof(f321,plain,
    ( ~ sP68
    | ( ( e1 = unit
        | e2 != op(e4,e1) )
      & e1 = op(e4,e2) ) ),
    inference(nnf_transformation,[],[f75]) ).

fof(f322,plain,
    ( ~ sP67
    | ( ( e1 = unit
        | e3 != op(e4,e1) )
      & e1 = op(e4,e3) ) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f323,plain,
    ( ~ sP66
    | ( ( e1 = unit
        | e4 != op(e4,e1) )
      & e1 = op(e4,e4) ) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f329,plain,
    ( ~ sP60
    | ( ( e2 = unit
        | e3 != op(e1,e2) )
      & e2 = op(e1,e3) ) ),
    inference(nnf_transformation,[],[f67]) ).

fof(f331,plain,
    ( ~ sP58
    | ( ( e2 = unit
        | e0 != op(e2,e2) )
      & e2 = op(e2,e0) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f345,plain,
    ( ~ sP44
    | ( ( e2 = unit
        | e4 != op(e4,e2) )
      & e2 = op(e4,e4) ) ),
    inference(nnf_transformation,[],[f51]) ).

fof(f346,plain,
    ( ~ sP43
    | ( ( e3 = unit
        | e3 != op(e0,e3) )
      & e3 = op(e0,e3) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f352,plain,
    ( ~ sP37
    | ( ( e3 = unit
        | e4 != op(e1,e3) )
      & e3 = op(e1,e4) ) ),
    inference(nnf_transformation,[],[f44]) ).

fof(f355,plain,
    ( ~ sP34
    | ( ( e3 = unit
        | e2 != op(e2,e3) )
      & e3 = op(e2,e2) ) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f358,plain,
    ( ~ sP31
    | ( ( e3 = unit
        | e0 != op(e3,e3) )
      & e3 = op(e3,e0) ) ),
    inference(nnf_transformation,[],[f38]) ).

fof(f369,plain,
    ( ~ sP20
    | ( ( e4 = unit
        | e4 != op(e0,e4) )
      & e4 = op(e0,e4) ) ),
    inference(nnf_transformation,[],[f27]) ).

fof(f372,plain,
    ( ~ sP17
    | ( ( e4 = unit
        | e2 != op(e1,e4) )
      & e4 = op(e1,e2) ) ),
    inference(nnf_transformation,[],[f24]) ).

fof(f383,plain,
    ( ~ sP6
    | ( ( e4 = unit
        | e3 != op(e3,e4) )
      & e4 = op(e3,e3) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f385,plain,
    ( ~ sP4
    | ( ( e4 = unit
        | e0 != op(e4,e4) )
      & e4 = op(e4,e0) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f393,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f1]) ).

fof(f394,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f1]) ).

fof(f395,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f1]) ).

fof(f399,plain,
    e0 != e1,
    inference(cnf_transformation,[],[f1]) ).

fof(f400,plain,
    e2 = op(e4,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f401,plain,
    e1 = op(e4,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f402,plain,
    e0 = op(e4,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f403,plain,
    e3 = op(e4,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f404,plain,
    e4 = op(e4,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f405,plain,
    e0 = op(e3,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f406,plain,
    e4 = op(e3,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f407,plain,
    e1 = op(e3,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f408,plain,
    e2 = op(e3,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f409,plain,
    e3 = op(e3,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f410,plain,
    e1 = op(e2,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f411,plain,
    e0 = op(e2,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f412,plain,
    e3 = op(e2,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f413,plain,
    e4 = op(e2,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f414,plain,
    e2 = op(e2,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f415,plain,
    e3 = op(e1,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f416,plain,
    e2 = op(e1,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f417,plain,
    e4 = op(e1,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f418,plain,
    e0 = op(e1,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f419,plain,
    e1 = op(e1,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f420,plain,
    e4 = op(e0,e4),
    inference(cnf_transformation,[],[f2]) ).

fof(f421,plain,
    e3 = op(e0,e3),
    inference(cnf_transformation,[],[f2]) ).

fof(f422,plain,
    e2 = op(e0,e2),
    inference(cnf_transformation,[],[f2]) ).

fof(f423,plain,
    e1 = op(e0,e1),
    inference(cnf_transformation,[],[f2]) ).

fof(f424,plain,
    e0 = op(e0,e0),
    inference(cnf_transformation,[],[f2]) ).

fof(f425,plain,
    e0 = unit,
    inference(cnf_transformation,[],[f3]) ).

fof(f430,plain,
    ( ~ sP190
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f434,plain,
    ( ~ sP189
    | e1 != op(e0,e1) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f438,plain,
    ( ~ sP188
    | e2 != op(e0,e2) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f442,plain,
    ( ~ sP187
    | e3 != op(e0,e3) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f446,plain,
    ( ~ sP186
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f454,plain,
    ( ~ sP185
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f460,plain,
    ( ~ sP184
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f461,plain,
    ( ~ sP183
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f468,plain,
    ( ~ sP182
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f472,plain,
    ( ~ sP181
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f478,plain,
    ( ~ sP180
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f481,plain,
    ( ~ sP179
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f487,plain,
    ( ~ sP178
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f211]) ).

fof(f495,plain,
    ( ~ sP177
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f499,plain,
    ( ~ sP176
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f502,plain,
    ( ~ sP175
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f508,plain,
    ( ~ sP174
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[],[f215]) ).

fof(f514,plain,
    ( ~ sP173
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f516,plain,
    ( ~ sP172
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f525,plain,
    ( ~ sP171
    | e0 != op(e3,e4) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f526,plain,
    ( ~ sP170
    | e4 != op(e4,e0) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f532,plain,
    ( ~ sP169
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f540,plain,
    ( ~ sP168
    | e0 != op(e4,e2) ),
    inference(cnf_transformation,[],[f221]) ).

fof(f544,plain,
    ( ~ sP167
    | e1 != op(e4,e3) ),
    inference(cnf_transformation,[],[f222]) ).

fof(f548,plain,
    ( ~ sP166
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f223]) ).

fof(f560,plain,
    ( ~ sP164
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f565,plain,
    ( ~ sP163
    | e0 != op(e0,e0) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f569,plain,
    ( ~ sP162
    | e1 != op(e0,e1) ),
    inference(cnf_transformation,[],[f227]) ).

fof(f574,plain,
    ( ~ sP161
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f578,plain,
    ( ~ sP160
    | e2 != op(e0,e2) ),
    inference(cnf_transformation,[],[f229]) ).

fof(f583,plain,
    ( ~ sP159
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f587,plain,
    ( ~ sP158
    | e3 != op(e0,e3) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f592,plain,
    ( ~ sP157
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f232]) ).

fof(f596,plain,
    ( ~ sP156
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f601,plain,
    ( ~ sP155
    | e4 != op(e4,e0) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f609,plain,
    ( ~ sP154
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f614,plain,
    ( ~ sP153
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f236]) ).

fof(f620,plain,
    ( ~ sP152
    | e1 != op(e1,e0) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f625,plain,
    ( ~ sP151
    | e1 != op(e0,e1) ),
    inference(cnf_transformation,[],[f238]) ).

fof(f627,plain,
    ( ~ sP150
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f239]) ).

fof(f632,plain,
    ( ~ sP149
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f636,plain,
    ( ~ sP148
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f641,plain,
    ( ~ sP147
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f242]) ).

fof(f648,plain,
    ( ~ sP146
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f653,plain,
    ( ~ sP145
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f657,plain,
    ( ~ sP144
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f661,plain,
    ( ~ sP143
    | e0 != op(e4,e2) ),
    inference(cnf_transformation,[],[f246]) ).

fof(f666,plain,
    ( ~ sP142
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f672,plain,
    ( ~ sP141
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f248]) ).

fof(f680,plain,
    ( ~ sP140
    | e2 != op(e2,e0) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f685,plain,
    ( ~ sP139
    | e2 != op(e0,e2) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f688,plain,
    ( ~ sP138
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f693,plain,
    ( ~ sP137
    | e3 != op(e2,e2) ),
    inference(cnf_transformation,[],[f252]) ).

fof(f699,plain,
    ( ~ sP136
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f253]) ).

fof(f704,plain,
    ( ~ sP135
    | e4 != op(e1,e2) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f706,plain,
    ( ~ sP134
    | e0 != op(e3,e4) ),
    inference(cnf_transformation,[],[f255]) ).

fof(f713,plain,
    ( ~ sP133
    | e0 != op(e2,e3) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f718,plain,
    ( ~ sP132
    | e1 != op(e3,e2) ),
    inference(cnf_transformation,[],[f257]) ).

fof(f721,plain,
    ( ~ sP131
    | e1 != op(e4,e3) ),
    inference(cnf_transformation,[],[f258]) ).

fof(f729,plain,
    ( ~ sP130
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f734,plain,
    ( ~ sP129
    | e2 != op(e1,e3) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f740,plain,
    ( ~ sP128
    | e3 != op(e3,e0) ),
    inference(cnf_transformation,[],[f261]) ).

fof(f745,plain,
    ( ~ sP127
    | e3 != op(e0,e3) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f747,plain,
    ( ~ sP126
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f263]) ).

fof(f752,plain,
    ( ~ sP125
    | e4 != op(e3,e3) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f758,plain,
    ( ~ sP124
    | e0 != op(e4,e2) ),
    inference(cnf_transformation,[],[f265]) ).

fof(f762,plain,
    ( ~ sP123
    | e0 != op(e3,e4) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f767,plain,
    ( ~ sP122
    | e1 != op(e4,e3) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f773,plain,
    ( ~ sP121
    | e1 != op(e2,e4) ),
    inference(cnf_transformation,[],[f268]) ).

fof(f776,plain,
    ( ~ sP120
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f781,plain,
    ( ~ sP119
    | e2 != op(e4,e4) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f789,plain,
    ( ~ sP118
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f794,plain,
    ( ~ sP117
    | e3 != op(e1,e4) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f800,plain,
    ( ~ sP116
    | e4 != op(e4,e0) ),
    inference(cnf_transformation,[],[f273]) ).

fof(f805,plain,
    ( ~ sP115
    | e4 != op(e0,e4) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f813,plain,
    ( ~ sP114
    | sP88
    | sP89
    | sP90
    | sP91
    | sP92
    | sP93
    | sP94
    | sP95
    | sP96
    | sP97
    | sP98
    | sP99
    | sP100
    | sP101
    | sP102
    | sP103
    | sP104
    | sP105
    | sP106
    | sP107
    | sP108
    | sP109
    | e0 = op(e0,e2)
    | e0 = op(e0,e1)
    | e0 = op(e0,e0) ),
    inference(cnf_transformation,[],[f275]) ).

fof(f819,plain,
    ( ~ sP113
    | sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | e1 = op(e0,e2)
    | e1 = unit
    | e1 != op(e0,e1)
    | e1 = op(e0,e0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f821,plain,
    ( ~ sP113
    | sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | e1 = op(e0,e2)
    | e1 = op(e0,e1)
    | e1 = op(e0,e0) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f867,plain,
    ( ~ sP99
    | e0 = op(e2,e3) ),
    inference(cnf_transformation,[],[f290]) ).

fof(f879,plain,
    ( ~ sP93
    | e0 = op(e3,e4) ),
    inference(cnf_transformation,[],[f296]) ).

fof(f885,plain,
    ( ~ sP90
    | e0 = op(e4,e2) ),
    inference(cnf_transformation,[],[f299]) ).

fof(f891,plain,
    ( ~ sP87
    | e1 = op(e0,e3) ),
    inference(cnf_transformation,[],[f302]) ).

fof(f893,plain,
    ( ~ sP86
    | e1 = op(e0,e4) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f894,plain,
    ( ~ sP85
    | e1 = unit
    | e0 != op(e1,e1) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f896,plain,
    ( ~ sP84
    | e1 = unit
    | e1 != op(e1,e1) ),
    inference(cnf_transformation,[],[f305]) ).

fof(f897,plain,
    ( ~ sP84
    | e1 = op(e1,e1) ),
    inference(cnf_transformation,[],[f305]) ).

fof(f899,plain,
    ( ~ sP83
    | e1 = op(e1,e2) ),
    inference(cnf_transformation,[],[f306]) ).

fof(f901,plain,
    ( ~ sP82
    | e1 = op(e1,e3) ),
    inference(cnf_transformation,[],[f307]) ).

fof(f903,plain,
    ( ~ sP81
    | e1 = op(e1,e4) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f905,plain,
    ( ~ sP80
    | e1 = op(e2,e0) ),
    inference(cnf_transformation,[],[f309]) ).

fof(f906,plain,
    ( ~ sP79
    | e1 = unit
    | e1 != op(e2,e1) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f907,plain,
    ( ~ sP79
    | e1 = op(e2,e1) ),
    inference(cnf_transformation,[],[f310]) ).

fof(f909,plain,
    ( ~ sP78
    | e1 = op(e2,e2) ),
    inference(cnf_transformation,[],[f311]) ).

fof(f911,plain,
    ( ~ sP77
    | e1 = op(e2,e3) ),
    inference(cnf_transformation,[],[f312]) ).

fof(f912,plain,
    ( ~ sP76
    | e1 = unit
    | e4 != op(e2,e1) ),
    inference(cnf_transformation,[],[f313]) ).

fof(f915,plain,
    ( ~ sP75
    | e1 = op(e3,e0) ),
    inference(cnf_transformation,[],[f314]) ).

fof(f916,plain,
    ( ~ sP74
    | e1 = unit
    | e1 != op(e3,e1) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f917,plain,
    ( ~ sP74
    | e1 = op(e3,e1) ),
    inference(cnf_transformation,[],[f315]) ).

fof(f918,plain,
    ( ~ sP73
    | e1 = unit
    | e2 != op(e3,e1) ),
    inference(cnf_transformation,[],[f316]) ).

fof(f921,plain,
    ( ~ sP72
    | e1 = op(e3,e3) ),
    inference(cnf_transformation,[],[f317]) ).

fof(f923,plain,
    ( ~ sP71
    | e1 = op(e3,e4) ),
    inference(cnf_transformation,[],[f318]) ).

fof(f925,plain,
    ( ~ sP70
    | e1 = op(e4,e0) ),
    inference(cnf_transformation,[],[f319]) ).

fof(f926,plain,
    ( ~ sP69
    | e1 = unit
    | e1 != op(e4,e1) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f927,plain,
    ( ~ sP69
    | e1 = op(e4,e1) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f929,plain,
    ( ~ sP68
    | e1 = op(e4,e2) ),
    inference(cnf_transformation,[],[f321]) ).

fof(f930,plain,
    ( ~ sP67
    | e1 = unit
    | e3 != op(e4,e1) ),
    inference(cnf_transformation,[],[f322]) ).

fof(f933,plain,
    ( ~ sP66
    | e1 = op(e4,e4) ),
    inference(cnf_transformation,[],[f323]) ).

fof(f945,plain,
    ( ~ sP60
    | e2 = op(e1,e3) ),
    inference(cnf_transformation,[],[f329]) ).

fof(f949,plain,
    ( ~ sP58
    | e2 = op(e2,e0) ),
    inference(cnf_transformation,[],[f331]) ).

fof(f977,plain,
    ( ~ sP44
    | e2 = op(e4,e4) ),
    inference(cnf_transformation,[],[f345]) ).

fof(f979,plain,
    ( ~ sP43
    | e3 = op(e0,e3) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f991,plain,
    ( ~ sP37
    | e3 = op(e1,e4) ),
    inference(cnf_transformation,[],[f352]) ).

fof(f997,plain,
    ( ~ sP34
    | e3 = op(e2,e2) ),
    inference(cnf_transformation,[],[f355]) ).

fof(f1003,plain,
    ( ~ sP31
    | e3 = op(e3,e0) ),
    inference(cnf_transformation,[],[f358]) ).

fof(f1025,plain,
    ( ~ sP20
    | e4 = op(e0,e4) ),
    inference(cnf_transformation,[],[f369]) ).

fof(f1031,plain,
    ( ~ sP17
    | e4 = op(e1,e2) ),
    inference(cnf_transformation,[],[f372]) ).

fof(f1053,plain,
    ( ~ sP6
    | e4 = op(e3,e3) ),
    inference(cnf_transformation,[],[f383]) ).

fof(f1057,plain,
    ( ~ sP4
    | e4 = op(e4,e0) ),
    inference(cnf_transformation,[],[f385]) ).

fof(f1071,plain,
    e1 != unit,
    inference(definition_unfolding,[],[f399,f425]) ).

fof(f1075,plain,
    unit = op(unit,unit),
    inference(definition_unfolding,[],[f424,f425,f425,f425]) ).

fof(f1076,plain,
    e1 = op(unit,e1),
    inference(definition_unfolding,[],[f423,f425]) ).

fof(f1077,plain,
    e2 = op(unit,e2),
    inference(definition_unfolding,[],[f422,f425]) ).

fof(f1078,plain,
    e3 = op(unit,e3),
    inference(definition_unfolding,[],[f421,f425]) ).

fof(f1079,plain,
    e4 = op(unit,e4),
    inference(definition_unfolding,[],[f420,f425]) ).

fof(f1080,plain,
    e1 = op(e1,unit),
    inference(definition_unfolding,[],[f419,f425]) ).

fof(f1081,plain,
    op(e1,e1) = unit,
    inference(definition_unfolding,[],[f418,f425]) ).

fof(f1082,plain,
    e2 = op(e2,unit),
    inference(definition_unfolding,[],[f414,f425]) ).

fof(f1083,plain,
    op(e2,e3) = unit,
    inference(definition_unfolding,[],[f411,f425]) ).

fof(f1084,plain,
    e3 = op(e3,unit),
    inference(definition_unfolding,[],[f409,f425]) ).

fof(f1085,plain,
    op(e3,e4) = unit,
    inference(definition_unfolding,[],[f405,f425]) ).

fof(f1086,plain,
    e4 = op(e4,unit),
    inference(definition_unfolding,[],[f404,f425]) ).

fof(f1087,plain,
    op(e4,e2) = unit,
    inference(definition_unfolding,[],[f402,f425]) ).

fof(f1088,plain,
    ( ~ sP190
    | unit != op(unit,unit) ),
    inference(definition_unfolding,[],[f430,f425,f425,f425]) ).

fof(f1094,plain,
    ( ~ sP189
    | e1 != op(unit,e1) ),
    inference(definition_unfolding,[],[f434,f425]) ).

fof(f1100,plain,
    ( ~ sP188
    | e2 != op(unit,e2) ),
    inference(definition_unfolding,[],[f438,f425]) ).

fof(f1106,plain,
    ( ~ sP187
    | e3 != op(unit,e3) ),
    inference(definition_unfolding,[],[f442,f425]) ).

fof(f1112,plain,
    ( ~ sP186
    | e4 != op(unit,e4) ),
    inference(definition_unfolding,[],[f446,f425]) ).

fof(f1114,plain,
    ( ~ sP185
    | e1 != op(e1,unit) ),
    inference(definition_unfolding,[],[f454,f425]) ).

fof(f1118,plain,
    ( ~ sP184
    | op(e1,e1) != unit ),
    inference(definition_unfolding,[],[f460,f425]) ).

fof(f1124,plain,
    ( ~ sP180
    | e2 != op(e2,unit) ),
    inference(definition_unfolding,[],[f478,f425]) ).

fof(f1129,plain,
    ( ~ sP177
    | op(e2,e3) != unit ),
    inference(definition_unfolding,[],[f495,f425]) ).

fof(f1134,plain,
    ( ~ sP175
    | e3 != op(e3,unit) ),
    inference(definition_unfolding,[],[f502,f425]) ).

fof(f1139,plain,
    ( ~ sP171
    | op(e3,e4) != unit ),
    inference(definition_unfolding,[],[f525,f425]) ).

fof(f1144,plain,
    ( ~ sP170
    | e4 != op(e4,unit) ),
    inference(definition_unfolding,[],[f526,f425]) ).

fof(f1146,plain,
    ( ~ sP168
    | op(e4,e2) != unit ),
    inference(definition_unfolding,[],[f540,f425]) ).

fof(f1150,plain,
    ( ~ sP164
    | unit != op(unit,unit) ),
    inference(definition_unfolding,[],[f560,f425,f425,f425]) ).

fof(f1155,plain,
    ( ~ sP163
    | unit != op(unit,unit) ),
    inference(definition_unfolding,[],[f565,f425,f425,f425]) ).

fof(f1161,plain,
    ( ~ sP162
    | e1 != op(unit,e1) ),
    inference(definition_unfolding,[],[f569,f425]) ).

fof(f1166,plain,
    ( ~ sP161
    | e1 != op(e1,unit) ),
    inference(definition_unfolding,[],[f574,f425]) ).

fof(f1172,plain,
    ( ~ sP160
    | e2 != op(unit,e2) ),
    inference(definition_unfolding,[],[f578,f425]) ).

fof(f1177,plain,
    ( ~ sP159
    | e2 != op(e2,unit) ),
    inference(definition_unfolding,[],[f583,f425]) ).

fof(f1183,plain,
    ( ~ sP158
    | e3 != op(unit,e3) ),
    inference(definition_unfolding,[],[f587,f425]) ).

fof(f1188,plain,
    ( ~ sP157
    | e3 != op(e3,unit) ),
    inference(definition_unfolding,[],[f592,f425]) ).

fof(f1194,plain,
    ( ~ sP156
    | e4 != op(unit,e4) ),
    inference(definition_unfolding,[],[f596,f425]) ).

fof(f1199,plain,
    ( ~ sP155
    | e4 != op(e4,unit) ),
    inference(definition_unfolding,[],[f601,f425]) ).

fof(f1201,plain,
    ( ~ sP154
    | op(e1,e1) != unit ),
    inference(definition_unfolding,[],[f609,f425]) ).

fof(f1206,plain,
    ( ~ sP153
    | op(e1,e1) != unit ),
    inference(definition_unfolding,[],[f614,f425]) ).

fof(f1210,plain,
    ( ~ sP152
    | e1 != op(e1,unit) ),
    inference(definition_unfolding,[],[f620,f425]) ).

fof(f1211,plain,
    ( ~ sP151
    | e1 != op(unit,e1) ),
    inference(definition_unfolding,[],[f625,f425]) ).

fof(f1221,plain,
    ( ~ sP144
    | op(e2,e3) != unit ),
    inference(definition_unfolding,[],[f657,f425]) ).

fof(f1227,plain,
    ( ~ sP143
    | op(e4,e2) != unit ),
    inference(definition_unfolding,[],[f661,f425]) ).

fof(f1230,plain,
    ( ~ sP140
    | e2 != op(e2,unit) ),
    inference(definition_unfolding,[],[f680,f425]) ).

fof(f1231,plain,
    ( ~ sP139
    | e2 != op(unit,e2) ),
    inference(definition_unfolding,[],[f685,f425]) ).

fof(f1240,plain,
    ( ~ sP134
    | op(e3,e4) != unit ),
    inference(definition_unfolding,[],[f706,f425]) ).

fof(f1243,plain,
    ( ~ sP133
    | op(e2,e3) != unit ),
    inference(definition_unfolding,[],[f713,f425]) ).

fof(f1250,plain,
    ( ~ sP128
    | e3 != op(e3,unit) ),
    inference(definition_unfolding,[],[f740,f425]) ).

fof(f1251,plain,
    ( ~ sP127
    | e3 != op(unit,e3) ),
    inference(definition_unfolding,[],[f745,f425]) ).

fof(f1256,plain,
    ( ~ sP124
    | op(e4,e2) != unit ),
    inference(definition_unfolding,[],[f758,f425]) ).

fof(f1262,plain,
    ( ~ sP123
    | op(e3,e4) != unit ),
    inference(definition_unfolding,[],[f762,f425]) ).

fof(f1270,plain,
    ( ~ sP116
    | e4 != op(e4,unit) ),
    inference(definition_unfolding,[],[f800,f425]) ).

fof(f1271,plain,
    ( ~ sP115
    | e4 != op(unit,e4) ),
    inference(definition_unfolding,[],[f805,f425]) ).

fof(f1272,plain,
    ( ~ sP114
    | sP88
    | sP89
    | sP90
    | sP91
    | sP92
    | sP93
    | sP94
    | sP95
    | sP96
    | sP97
    | sP98
    | sP99
    | sP100
    | sP101
    | sP102
    | sP103
    | sP104
    | sP105
    | sP106
    | sP107
    | sP108
    | sP109
    | unit = op(unit,e2)
    | unit = op(unit,e1)
    | unit = op(unit,unit) ),
    inference(definition_unfolding,[],[f813,f425,f425,f425,f425,f425,f425,f425]) ).

fof(f1280,plain,
    ( ~ sP113
    | sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | e1 = op(unit,e2)
    | e1 = op(unit,e1)
    | e1 = op(unit,unit) ),
    inference(definition_unfolding,[],[f821,f425,f425,f425,f425]) ).

fof(f1282,plain,
    ( ~ sP113
    | sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | e1 = op(unit,e2)
    | e1 = unit
    | e1 != op(unit,e1)
    | e1 = op(unit,unit) ),
    inference(definition_unfolding,[],[f819,f425,f425,f425,f425]) ).

fof(f1332,plain,
    ( ~ sP99
    | op(e2,e3) = unit ),
    inference(definition_unfolding,[],[f867,f425]) ).

fof(f1344,plain,
    ( ~ sP93
    | op(e3,e4) = unit ),
    inference(definition_unfolding,[],[f879,f425]) ).

fof(f1350,plain,
    ( ~ sP90
    | op(e4,e2) = unit ),
    inference(definition_unfolding,[],[f885,f425]) ).

fof(f1356,plain,
    ( ~ sP87
    | e1 = op(unit,e3) ),
    inference(definition_unfolding,[],[f891,f425]) ).

fof(f1358,plain,
    ( ~ sP86
    | e1 = op(unit,e4) ),
    inference(definition_unfolding,[],[f893,f425]) ).

fof(f1361,plain,
    ( ~ sP85
    | e1 = unit
    | op(e1,e1) != unit ),
    inference(definition_unfolding,[],[f894,f425]) ).

fof(f1362,plain,
    ( ~ sP80
    | e1 = op(e2,unit) ),
    inference(definition_unfolding,[],[f905,f425]) ).

fof(f1364,plain,
    ( ~ sP75
    | e1 = op(e3,unit) ),
    inference(definition_unfolding,[],[f915,f425]) ).

fof(f1366,plain,
    ( ~ sP70
    | e1 = op(e4,unit) ),
    inference(definition_unfolding,[],[f925,f425]) ).

fof(f1374,plain,
    ( ~ sP58
    | e2 = op(e2,unit) ),
    inference(definition_unfolding,[],[f949,f425]) ).

fof(f1380,plain,
    ( ~ sP43
    | e3 = op(unit,e3) ),
    inference(definition_unfolding,[],[f979,f425]) ).

fof(f1388,plain,
    ( ~ sP31
    | e3 = op(e3,unit) ),
    inference(definition_unfolding,[],[f1003,f425]) ).

fof(f1394,plain,
    ( ~ sP20
    | e4 = op(unit,e4) ),
    inference(definition_unfolding,[],[f1025,f425]) ).

fof(f1402,plain,
    ( ~ sP4
    | e4 = op(e4,unit) ),
    inference(definition_unfolding,[],[f1057,f425]) ).

tcf(c_49,plain,
    e1 != unit,
    inference(cnf_transformation,[],[f1071]) ).

tcf(c_53,plain,
    e1 != e2,
    inference(cnf_transformation,[],[f395]) ).

tcf(c_54,plain,
    e1 != e3,
    inference(cnf_transformation,[],[f394]) ).

tcf(c_55,plain,
    e1 != e4,
    inference(cnf_transformation,[],[f393]) ).

tcf(c_59,plain,
    op(unit,unit) = unit,
    inference(cnf_transformation,[],[f1075]) ).

tcf(c_60,plain,
    op(unit,e1) = e1,
    inference(cnf_transformation,[],[f1076]) ).

tcf(c_61,plain,
    op(unit,e2) = e2,
    inference(cnf_transformation,[],[f1077]) ).

tcf(c_62,plain,
    op(unit,e3) = e3,
    inference(cnf_transformation,[],[f1078]) ).

tcf(c_63,plain,
    op(unit,e4) = e4,
    inference(cnf_transformation,[],[f1079]) ).

tcf(c_64,plain,
    op(e1,unit) = e1,
    inference(cnf_transformation,[],[f1080]) ).

tcf(c_65,plain,
    op(e1,e1) = unit,
    inference(cnf_transformation,[],[f1081]) ).

tcf(c_66,plain,
    op(e1,e2) = e4,
    inference(cnf_transformation,[],[f417]) ).

tcf(c_67,plain,
    op(e1,e3) = e2,
    inference(cnf_transformation,[],[f416]) ).

tcf(c_68,plain,
    op(e1,e4) = e3,
    inference(cnf_transformation,[],[f415]) ).

tcf(c_69,plain,
    op(e2,unit) = e2,
    inference(cnf_transformation,[],[f1082]) ).

tcf(c_70,plain,
    op(e2,e1) = e4,
    inference(cnf_transformation,[],[f413]) ).

tcf(c_71,plain,
    op(e2,e2) = e3,
    inference(cnf_transformation,[],[f412]) ).

tcf(c_72,plain,
    op(e2,e3) = unit,
    inference(cnf_transformation,[],[f1083]) ).

tcf(c_73,plain,
    op(e2,e4) = e1,
    inference(cnf_transformation,[],[f410]) ).

tcf(c_74,plain,
    op(e3,unit) = e3,
    inference(cnf_transformation,[],[f1084]) ).

tcf(c_75,plain,
    op(e3,e1) = e2,
    inference(cnf_transformation,[],[f408]) ).

tcf(c_76,plain,
    op(e3,e2) = e1,
    inference(cnf_transformation,[],[f407]) ).

tcf(c_77,plain,
    op(e3,e3) = e4,
    inference(cnf_transformation,[],[f406]) ).

tcf(c_78,plain,
    op(e3,e4) = unit,
    inference(cnf_transformation,[],[f1085]) ).

tcf(c_79,plain,
    op(e4,unit) = e4,
    inference(cnf_transformation,[],[f1086]) ).

tcf(c_80,plain,
    op(e4,e1) = e3,
    inference(cnf_transformation,[],[f403]) ).

tcf(c_81,plain,
    op(e4,e2) = unit,
    inference(cnf_transformation,[],[f1087]) ).

tcf(c_82,plain,
    op(e4,e3) = e1,
    inference(cnf_transformation,[],[f401]) ).

tcf(c_83,plain,
    op(e4,e4) = e2,
    inference(cnf_transformation,[],[f400]) ).

tcf(c_84,plain,
    ( ~ sP190
    | ( op(unit,unit) != unit ) ),
    inference(cnf_transformation,[],[f1088]) ).

tcf(c_90,plain,
    ( ~ sP189
    | ( op(unit,e1) != e1 ) ),
    inference(cnf_transformation,[],[f1094]) ).

tcf(c_96,plain,
    ( ~ sP188
    | ( op(unit,e2) != e2 ) ),
    inference(cnf_transformation,[],[f1100]) ).

tcf(c_102,plain,
    ( ~ sP187
    | ( op(unit,e3) != e3 ) ),
    inference(cnf_transformation,[],[f1106]) ).

tcf(c_108,plain,
    ( ~ sP186
    | ( op(unit,e4) != e4 ) ),
    inference(cnf_transformation,[],[f1112]) ).

tcf(c_110,plain,
    ( ~ sP185
    | ( op(e1,unit) != e1 ) ),
    inference(cnf_transformation,[],[f1114]) ).

tcf(c_114,plain,
    ( ~ sP184
    | ( op(e1,e1) != unit ) ),
    inference(cnf_transformation,[],[f1118]) ).

tcf(c_123,plain,
    ( ~ sP183
    | ( op(e1,e2) != e4 ) ),
    inference(cnf_transformation,[],[f461]) ).

tcf(c_126,plain,
    ( ~ sP182
    | ( op(e1,e3) != e2 ) ),
    inference(cnf_transformation,[],[f468]) ).

tcf(c_132,plain,
    ( ~ sP181
    | ( op(e1,e4) != e3 ) ),
    inference(cnf_transformation,[],[f472]) ).

tcf(c_136,plain,
    ( ~ sP180
    | ( op(e2,unit) != e2 ) ),
    inference(cnf_transformation,[],[f1124]) ).

tcf(c_143,plain,
    ( ~ sP179
    | ( op(e2,e1) != e4 ) ),
    inference(cnf_transformation,[],[f481]) ).

tcf(c_147,plain,
    ( ~ sP178
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f487]) ).

tcf(c_149,plain,
    ( ~ sP177
    | ( op(e2,e3) != unit ) ),
    inference(cnf_transformation,[],[f1129]) ).

tcf(c_155,plain,
    ( ~ sP176
    | ( op(e2,e4) != e1 ) ),
    inference(cnf_transformation,[],[f499]) ).

tcf(c_162,plain,
    ( ~ sP175
    | ( op(e3,unit) != e3 ) ),
    inference(cnf_transformation,[],[f1134]) ).

tcf(c_166,plain,
    ( ~ sP174
    | ( op(e3,e1) != e2 ) ),
    inference(cnf_transformation,[],[f508]) ).

tcf(c_170,plain,
    ( ~ sP173
    | ( op(e3,e2) != e1 ) ),
    inference(cnf_transformation,[],[f514]) ).

tcf(c_178,plain,
    ( ~ sP172
    | ( op(e3,e3) != e4 ) ),
    inference(cnf_transformation,[],[f516]) ).

tcf(c_179,plain,
    ( ~ sP171
    | ( op(e3,e4) != unit ) ),
    inference(cnf_transformation,[],[f1139]) ).

tcf(c_188,plain,
    ( ~ sP170
    | ( op(e4,unit) != e4 ) ),
    inference(cnf_transformation,[],[f1144]) ).

tcf(c_192,plain,
    ( ~ sP169
    | ( op(e4,e1) != e3 ) ),
    inference(cnf_transformation,[],[f532]) ).

tcf(c_194,plain,
    ( ~ sP168
    | ( op(e4,e2) != unit ) ),
    inference(cnf_transformation,[],[f1146]) ).

tcf(c_200,plain,
    ( ~ sP167
    | ( op(e4,e3) != e1 ) ),
    inference(cnf_transformation,[],[f544]) ).

tcf(c_206,plain,
    ( ~ sP166
    | ( op(e4,e4) != e2 ) ),
    inference(cnf_transformation,[],[f548]) ).

tcf(c_209,plain,
    ~ sP165,
    inference(cnf_transformation,[],[f1409]) ).

tcf(c_214,plain,
    ( ~ sP164
    | ( op(unit,unit) != unit ) ),
    inference(cnf_transformation,[],[f1150]) ).

tcf(c_219,plain,
    ( ~ sP163
    | ( op(unit,unit) != unit ) ),
    inference(cnf_transformation,[],[f1155]) ).

tcf(c_225,plain,
    ( ~ sP162
    | ( op(unit,e1) != e1 ) ),
    inference(cnf_transformation,[],[f1161]) ).

tcf(c_230,plain,
    ( ~ sP161
    | ( op(e1,unit) != e1 ) ),
    inference(cnf_transformation,[],[f1166]) ).

tcf(c_236,plain,
    ( ~ sP160
    | ( op(unit,e2) != e2 ) ),
    inference(cnf_transformation,[],[f1172]) ).

tcf(c_241,plain,
    ( ~ sP159
    | ( op(e2,unit) != e2 ) ),
    inference(cnf_transformation,[],[f1177]) ).

tcf(c_247,plain,
    ( ~ sP158
    | ( op(unit,e3) != e3 ) ),
    inference(cnf_transformation,[],[f1183]) ).

tcf(c_252,plain,
    ( ~ sP157
    | ( op(e3,unit) != e3 ) ),
    inference(cnf_transformation,[],[f1188]) ).

tcf(c_258,plain,
    ( ~ sP156
    | ( op(unit,e4) != e4 ) ),
    inference(cnf_transformation,[],[f1194]) ).

tcf(c_263,plain,
    ( ~ sP155
    | ( op(e4,unit) != e4 ) ),
    inference(cnf_transformation,[],[f1199]) ).

tcf(c_265,plain,
    ( ~ sP154
    | ( op(e1,e1) != unit ) ),
    inference(cnf_transformation,[],[f1201]) ).

tcf(c_270,plain,
    ( ~ sP153
    | ( op(e1,e1) != unit ) ),
    inference(cnf_transformation,[],[f1206]) ).

tcf(c_274,plain,
    ( ~ sP152
    | ( op(e1,unit) != e1 ) ),
    inference(cnf_transformation,[],[f1210]) ).

tcf(c_279,plain,
    ( ~ sP151
    | ( op(unit,e1) != e1 ) ),
    inference(cnf_transformation,[],[f1211]) ).

tcf(c_287,plain,
    ( ~ sP150
    | ( op(e1,e3) != e2 ) ),
    inference(cnf_transformation,[],[f627]) ).

tcf(c_292,plain,
    ( ~ sP149
    | ( op(e3,e1) != e2 ) ),
    inference(cnf_transformation,[],[f632]) ).

tcf(c_298,plain,
    ( ~ sP148
    | ( op(e1,e4) != e3 ) ),
    inference(cnf_transformation,[],[f636]) ).

tcf(c_303,plain,
    ( ~ sP147
    | ( op(e4,e1) != e3 ) ),
    inference(cnf_transformation,[],[f641]) ).

tcf(c_306,plain,
    ( ~ sP146
    | ( op(e1,e2) != e4 ) ),
    inference(cnf_transformation,[],[f648]) ).

tcf(c_311,plain,
    ( ~ sP145
    | ( op(e2,e1) != e4 ) ),
    inference(cnf_transformation,[],[f653]) ).

tcf(c_317,plain,
    ( ~ sP144
    | ( op(e2,e3) != unit ) ),
    inference(cnf_transformation,[],[f1221]) ).

tcf(c_323,plain,
    ( ~ sP143
    | ( op(e4,e2) != unit ) ),
    inference(cnf_transformation,[],[f1227]) ).

tcf(c_328,plain,
    ( ~ sP142
    | ( op(e2,e4) != e1 ) ),
    inference(cnf_transformation,[],[f666]) ).

tcf(c_332,plain,
    ( ~ sP141
    | ( op(e3,e2) != e1 ) ),
    inference(cnf_transformation,[],[f672]) ).

tcf(c_334,plain,
    ( ~ sP140
    | ( op(e2,unit) != e2 ) ),
    inference(cnf_transformation,[],[f1230]) ).

tcf(c_339,plain,
    ( ~ sP139
    | ( op(unit,e2) != e2 ) ),
    inference(cnf_transformation,[],[f1231]) ).

tcf(c_346,plain,
    ( ~ sP138
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f688]) ).

tcf(c_351,plain,
    ( ~ sP137
    | ( op(e2,e2) != e3 ) ),
    inference(cnf_transformation,[],[f693]) ).

tcf(c_355,plain,
    ( ~ sP136
    | ( op(e2,e1) != e4 ) ),
    inference(cnf_transformation,[],[f699]) ).

tcf(c_360,plain,
    ( ~ sP135
    | ( op(e1,e2) != e4 ) ),
    inference(cnf_transformation,[],[f704]) ).

tcf(c_368,plain,
    ( ~ sP134
    | ( op(e3,e4) != unit ) ),
    inference(cnf_transformation,[],[f1240]) ).

tcf(c_371,plain,
    ( ~ sP133
    | ( op(e2,e3) != unit ) ),
    inference(cnf_transformation,[],[f1243]) ).

tcf(c_376,plain,
    ( ~ sP132
    | ( op(e3,e2) != e1 ) ),
    inference(cnf_transformation,[],[f718]) ).

tcf(c_383,plain,
    ( ~ sP131
    | ( op(e4,e3) != e1 ) ),
    inference(cnf_transformation,[],[f721]) ).

tcf(c_385,plain,
    ( ~ sP130
    | ( op(e3,e1) != e2 ) ),
    inference(cnf_transformation,[],[f729]) ).

tcf(c_390,plain,
    ( ~ sP129
    | ( op(e1,e3) != e2 ) ),
    inference(cnf_transformation,[],[f734]) ).

tcf(c_394,plain,
    ( ~ sP128
    | ( op(e3,unit) != e3 ) ),
    inference(cnf_transformation,[],[f1250]) ).

tcf(c_399,plain,
    ( ~ sP127
    | ( op(unit,e3) != e3 ) ),
    inference(cnf_transformation,[],[f1251]) ).

tcf(c_407,plain,
    ( ~ sP126
    | ( op(e3,e3) != e4 ) ),
    inference(cnf_transformation,[],[f747]) ).

tcf(c_412,plain,
    ( ~ sP125
    | ( op(e3,e3) != e4 ) ),
    inference(cnf_transformation,[],[f752]) ).

tcf(c_416,plain,
    ( ~ sP124
    | ( op(e4,e2) != unit ) ),
    inference(cnf_transformation,[],[f1256]) ).

tcf(c_422,plain,
    ( ~ sP123
    | ( op(e3,e4) != unit ) ),
    inference(cnf_transformation,[],[f1262]) ).

tcf(c_427,plain,
    ( ~ sP122
    | ( op(e4,e3) != e1 ) ),
    inference(cnf_transformation,[],[f767]) ).

tcf(c_431,plain,
    ( ~ sP121
    | ( op(e2,e4) != e1 ) ),
    inference(cnf_transformation,[],[f773]) ).

tcf(c_438,plain,
    ( ~ sP120
    | ( op(e4,e4) != e2 ) ),
    inference(cnf_transformation,[],[f776]) ).

tcf(c_443,plain,
    ( ~ sP119
    | ( op(e4,e4) != e2 ) ),
    inference(cnf_transformation,[],[f781]) ).

tcf(c_445,plain,
    ( ~ sP118
    | ( op(e4,e1) != e3 ) ),
    inference(cnf_transformation,[],[f789]) ).

tcf(c_450,plain,
    ( ~ sP117
    | ( op(e1,e4) != e3 ) ),
    inference(cnf_transformation,[],[f794]) ).

tcf(c_454,plain,
    ( ~ sP116
    | ( op(e4,unit) != e4 ) ),
    inference(cnf_transformation,[],[f1270]) ).

tcf(c_459,plain,
    ( ~ sP115
    | ( op(unit,e4) != e4 ) ),
    inference(cnf_transformation,[],[f1271]) ).

tcf(c_464,plain,
    ( sP88
    | sP89
    | sP90
    | sP91
    | sP92
    | sP93
    | sP94
    | sP95
    | sP96
    | sP97
    | sP98
    | sP99
    | sP100
    | sP101
    | sP102
    | sP103
    | sP104
    | sP105
    | sP106
    | sP107
    | sP108
    | sP109
    | ( op(unit,e2) = unit )
    | ( op(unit,unit) = unit )
    | ( op(unit,e1) = unit )
    | ~ sP114 ),
    inference(cnf_transformation,[],[f1272]) ).

tcf(c_469,plain,
    ( sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | ( op(unit,e2) = e1 )
    | ( op(unit,unit) = e1 )
    | ( op(unit,e1) = e1 )
    | ~ sP113 ),
    inference(cnf_transformation,[],[f1280]) ).

tcf(c_471,plain,
    ( sP66
    | sP67
    | sP68
    | sP69
    | sP70
    | sP71
    | sP72
    | sP73
    | sP74
    | sP75
    | sP76
    | sP77
    | sP78
    | sP79
    | sP80
    | sP81
    | sP82
    | sP83
    | sP84
    | sP85
    | sP86
    | sP87
    | ( e1 = unit )
    | ( op(unit,e2) = e1 )
    | ( op(unit,unit) = e1 )
    | ~ sP113
    | ( op(unit,e1) != e1 ) ),
    inference(cnf_transformation,[],[f1282]) ).

tcf(c_483,plain,
    ( sP44
    | sP45
    | sP46
    | sP47
    | sP48
    | sP49
    | sP50
    | sP51
    | sP52
    | sP53
    | sP54
    | sP55
    | sP56
    | sP57
    | sP58
    | sP59
    | sP60
    | sP61
    | sP62
    | sP63
    | sP64
    | sP65
    | ( unit = e2 )
    | ( op(unit,e2) = e2 )
    | ~ sP112
    | ( op(unit,e2) != unit )
    | ( op(unit,e2) != e1 ) ),
    inference(cnf_transformation,[],[f1420]) ).

tcf(c_511,plain,
    ( ( op(e2,e3) = unit )
    | ~ sP99 ),
    inference(cnf_transformation,[],[f1332]) ).

tcf(c_517,plain,
    ( ( op(e3,e4) = unit )
    | ~ sP93 ),
    inference(cnf_transformation,[],[f1344]) ).

tcf(c_520,plain,
    ( ( op(e4,e2) = unit )
    | ~ sP90 ),
    inference(cnf_transformation,[],[f1350]) ).

tcf(c_523,plain,
    ( ( op(unit,e3) = e1 )
    | ~ sP87 ),
    inference(cnf_transformation,[],[f1356]) ).

tcf(c_525,plain,
    ( ( op(unit,e4) = e1 )
    | ~ sP86 ),
    inference(cnf_transformation,[],[f1358]) ).

tcf(c_528,plain,
    ( ( e1 = unit )
    | ~ sP85
    | ( op(e1,e1) != unit ) ),
    inference(cnf_transformation,[],[f1361]) ).

tcf(c_529,plain,
    ( ( op(e1,e1) = e1 )
    | ~ sP84 ),
    inference(cnf_transformation,[],[f897]) ).

tcf(c_530,plain,
    ( ( e1 = unit )
    | ~ sP84
    | ( op(e1,e1) != e1 ) ),
    inference(cnf_transformation,[],[f896]) ).

tcf(c_531,plain,
    ( ( op(e1,e2) = e1 )
    | ~ sP83 ),
    inference(cnf_transformation,[],[f899]) ).

tcf(c_533,plain,
    ( ( op(e1,e3) = e1 )
    | ~ sP82 ),
    inference(cnf_transformation,[],[f901]) ).

tcf(c_535,plain,
    ( ( op(e1,e4) = e1 )
    | ~ sP81 ),
    inference(cnf_transformation,[],[f903]) ).

tcf(c_537,plain,
    ( ( op(e2,unit) = e1 )
    | ~ sP80 ),
    inference(cnf_transformation,[],[f1362]) ).

tcf(c_539,plain,
    ( ( op(e2,e1) = e1 )
    | ~ sP79 ),
    inference(cnf_transformation,[],[f907]) ).

tcf(c_540,plain,
    ( ( e1 = unit )
    | ~ sP79
    | ( op(e2,e1) != e1 ) ),
    inference(cnf_transformation,[],[f906]) ).

tcf(c_541,plain,
    ( ( op(e2,e2) = e1 )
    | ~ sP78 ),
    inference(cnf_transformation,[],[f909]) ).

tcf(c_543,plain,
    ( ( op(e2,e3) = e1 )
    | ~ sP77 ),
    inference(cnf_transformation,[],[f911]) ).

tcf(c_546,plain,
    ( ( e1 = unit )
    | ~ sP76
    | ( op(e2,e1) != e4 ) ),
    inference(cnf_transformation,[],[f912]) ).

tcf(c_547,plain,
    ( ( op(e3,unit) = e1 )
    | ~ sP75 ),
    inference(cnf_transformation,[],[f1364]) ).

tcf(c_549,plain,
    ( ( op(e3,e1) = e1 )
    | ~ sP74 ),
    inference(cnf_transformation,[],[f917]) ).

tcf(c_550,plain,
    ( ( e1 = unit )
    | ~ sP74
    | ( op(e3,e1) != e1 ) ),
    inference(cnf_transformation,[],[f916]) ).

tcf(c_552,plain,
    ( ( e1 = unit )
    | ~ sP73
    | ( op(e3,e1) != e2 ) ),
    inference(cnf_transformation,[],[f918]) ).

tcf(c_553,plain,
    ( ( op(e3,e3) = e1 )
    | ~ sP72 ),
    inference(cnf_transformation,[],[f921]) ).

tcf(c_555,plain,
    ( ( op(e3,e4) = e1 )
    | ~ sP71 ),
    inference(cnf_transformation,[],[f923]) ).

tcf(c_557,plain,
    ( ( op(e4,unit) = e1 )
    | ~ sP70 ),
    inference(cnf_transformation,[],[f1366]) ).

tcf(c_559,plain,
    ( ( op(e4,e1) = e1 )
    | ~ sP69 ),
    inference(cnf_transformation,[],[f927]) ).

tcf(c_560,plain,
    ( ( e1 = unit )
    | ~ sP69
    | ( op(e4,e1) != e1 ) ),
    inference(cnf_transformation,[],[f926]) ).

tcf(c_561,plain,
    ( ( op(e4,e2) = e1 )
    | ~ sP68 ),
    inference(cnf_transformation,[],[f929]) ).

tcf(c_564,plain,
    ( ( e1 = unit )
    | ~ sP67
    | ( op(e4,e1) != e3 ) ),
    inference(cnf_transformation,[],[f930]) ).

tcf(c_565,plain,
    ( ( op(e4,e4) = e1 )
    | ~ sP66 ),
    inference(cnf_transformation,[],[f933]) ).

tcf(c_577,plain,
    ( ( op(e1,e3) = e2 )
    | ~ sP60 ),
    inference(cnf_transformation,[],[f945]) ).

tcf(c_581,plain,
    ( ( op(e2,unit) = e2 )
    | ~ sP58 ),
    inference(cnf_transformation,[],[f1374]) ).

tcf(c_609,plain,
    ( ( op(e4,e4) = e2 )
    | ~ sP44 ),
    inference(cnf_transformation,[],[f977]) ).

tcf(c_611,plain,
    ( ( op(unit,e3) = e3 )
    | ~ sP43 ),
    inference(cnf_transformation,[],[f1380]) ).

tcf(c_623,plain,
    ( ( op(e1,e4) = e3 )
    | ~ sP37 ),
    inference(cnf_transformation,[],[f991]) ).

tcf(c_629,plain,
    ( ( op(e2,e2) = e3 )
    | ~ sP34 ),
    inference(cnf_transformation,[],[f997]) ).

tcf(c_635,plain,
    ( ( op(e3,unit) = e3 )
    | ~ sP31 ),
    inference(cnf_transformation,[],[f1388]) ).

tcf(c_657,plain,
    ( ( op(unit,e4) = e4 )
    | ~ sP20 ),
    inference(cnf_transformation,[],[f1394]) ).

tcf(c_663,plain,
    ( ( op(e1,e2) = e4 )
    | ~ sP17 ),
    inference(cnf_transformation,[],[f1031]) ).

tcf(c_685,plain,
    ( ( op(e3,e3) = e4 )
    | ~ sP6 ),
    inference(cnf_transformation,[],[f1053]) ).

tcf(c_689,plain,
    ( ( op(e4,unit) = e4 )
    | ~ sP4 ),
    inference(cnf_transformation,[],[f1402]) ).

tcf(c_700,negated_conjecture,
    ( sP113
    | sP115
    | sP116
    | sP117
    | sP118
    | sP119
    | sP120
    | sP121
    | sP122
    | sP123
    | sP124
    | sP125
    | sP126
    | sP127
    | sP128
    | sP129
    | sP130
    | sP131
    | sP132
    | sP133
    | sP134
    | sP135
    | sP136
    | sP137
    | sP138
    | sP139
    | sP140
    | sP141
    | sP142
    | sP143
    | sP144
    | sP145
    | sP146
    | sP147
    | sP148
    | sP149
    | sP150
    | sP151
    | sP152
    | sP153
    | sP154
    | sP155
    | sP156
    | sP157
    | sP158
    | sP159
    | sP160
    | sP161
    | sP162
    | sP163
    | sP164
    | sP165
    | sP166
    | sP167
    | sP168
    | sP169
    | sP170
    | sP171
    | sP172
    | sP173
    | sP174
    | sP175
    | sP176
    | sP177
    | sP178
    | sP179
    | sP180
    | sP181
    | sP182
    | sP183
    | sP184
    | sP185
    | sP186
    | sP187
    | sP188
    | sP189
    | sP190
    | ( op(e4,unit) != e4 )
    | ( op(e3,unit) != e3 )
    | ( op(e2,unit) != e2 )
    | ( op(unit,e4) != e4 )
    | ( op(unit,e3) != e3 )
    | ( op(unit,e2) != e2 )
    | ( op(unit,unit) != unit )
    | ( op(unit,e1) != e1 )
    | ( op(e1,unit) != e1 ) ),
    inference(cnf_transformation,[],[f1431]) ).

tcf(c_716,plain,
    op(e4,unit) = e4,
    inference(global_subsumption_just,[status(thm)],[c_689,c_79]) ).

tcf(c_720,plain,
    op(e3,e3) = e4,
    inference(global_subsumption_just,[status(thm)],[c_685,c_77]) ).

tcf(c_732,plain,
    op(e1,e2) = e4,
    inference(global_subsumption_just,[status(thm)],[c_663,c_66]) ).

tcf(c_734,plain,
    op(unit,e4) = e4,
    inference(global_subsumption_just,[status(thm)],[c_657,c_63]) ).

tcf(c_744,plain,
    op(e3,unit) = e3,
    inference(global_subsumption_just,[status(thm)],[c_635,c_74]) ).

tcf(c_748,plain,
    op(e2,e2) = e3,
    inference(global_subsumption_just,[status(thm)],[c_629,c_71]) ).

tcf(c_752,plain,
    op(e1,e4) = e3,
    inference(global_subsumption_just,[status(thm)],[c_623,c_68]) ).

tcf(c_758,plain,
    op(unit,e3) = e3,
    inference(global_subsumption_just,[status(thm)],[c_611,c_62]) ).

tcf(c_760,plain,
    op(e4,e4) = e2,
    inference(global_subsumption_just,[status(thm)],[c_609,c_83]) ).

tcf(c_774,plain,
    op(e2,unit) = e2,
    inference(global_subsumption_just,[status(thm)],[c_581,c_69]) ).

tcf(c_778,plain,
    op(e1,e3) = e2,
    inference(global_subsumption_just,[status(thm)],[c_577,c_67]) ).

tcf(c_784,plain,
    ~ sP69,
    inference(global_subsumption_just,[status(thm)],[c_559,c_49,c_559,c_560]) ).

tcf(c_788,plain,
    ~ sP74,
    inference(global_subsumption_just,[status(thm)],[c_549,c_49,c_549,c_550]) ).

tcf(c_792,plain,
    ~ sP79,
    inference(global_subsumption_just,[status(thm)],[c_539,c_49,c_539,c_540]) ).

tcf(c_794,plain,
    ~ sP84,
    inference(global_subsumption_just,[status(thm)],[c_529,c_49,c_529,c_530]) ).

tcf(c_798,plain,
    op(e4,e2) = unit,
    inference(global_subsumption_just,[status(thm)],[c_520,c_81]) ).

tcf(c_800,plain,
    op(e3,e4) = unit,
    inference(global_subsumption_just,[status(thm)],[c_517,c_78]) ).

tcf(c_802,plain,
    op(e2,e3) = unit,
    inference(global_subsumption_just,[status(thm)],[c_511,c_72]) ).

tcf(c_1738,plain,
    ( sP66
    | sP70
    | sP71
    | sP72
    | sP75
    | sP80
    | sP81
    | sP82
    | sP83
    | sP86
    | sP87
    | ( op(unit,e2) = e1 )
    | ( op(unit,unit) = e1 )
    | sP78
    | sP77
    | sP68 ),
    inference(global_subsumption_just,[status(thm)],[c_469,c_209,c_49,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_459,c_454,c_450,c_445,c_443,c_438,c_431,c_427,c_422,c_416,c_412,c_407,c_399,c_394,c_390,c_385,c_383,c_376,c_371,c_368,c_360,c_355,c_351,c_346,c_339,c_334,c_332,c_328,c_323,c_317,c_311,c_306,c_303,c_298,c_292,c_287,c_279,c_274,c_270,c_265,c_263,c_258,c_252,c_247,c_241,c_236,c_230,c_225,c_219,c_214,c_206,c_200,c_194,c_192,c_188,c_179,c_178,c_170,c_166,c_162,c_155,c_149,c_147,c_143,c_136,c_132,c_126,c_123,c_114,c_110,c_108,c_102,c_96,c_90,c_84,c_564,c_552,c_546,c_528,c_471,c_700,c_784,c_788,c_792,c_794]) ).

tcf(c_1739,plain,
    ( sP66
    | sP68
    | sP70
    | sP71
    | sP72
    | sP75
    | sP77
    | sP78
    | sP80
    | sP81
    | sP82
    | sP83
    | sP86
    | sP87
    | ( op(unit,e2) = e1 )
    | ( op(unit,unit) = e1 ) ),
    inference(renaming,[status(thm)],[c_1738]) ).

tcf(c_1740,plain,
    op(unit,unit) = unit,
    inference(global_subsumption_just,[status(thm)],[c_464,c_59]) ).

tcf(c_1762,plain,
    ( sP66
    | sP70
    | sP71
    | sP72
    | sP75
    | sP80
    | sP81
    | sP82
    | sP83
    | sP86
    | sP87
    | ( op(unit,unit) = e1 )
    | ( op(unit,e2) = e1 )
    | sP78
    | sP77
    | sP68 ),
    inference(global_subsumption_just,[status(thm)],[c_471,c_1739]) ).

tcf(c_1763,plain,
    ( sP66
    | sP68
    | sP70
    | sP71
    | sP72
    | sP75
    | sP77
    | sP78
    | sP80
    | sP81
    | sP82
    | sP83
    | sP86
    | sP87
    | ( op(unit,e2) = e1 )
    | ( op(unit,unit) = e1 ) ),
    inference(renaming,[status(thm)],[c_1762]) ).

tcf(c_1778,plain,
    op(unit,e2) = e2,
    inference(global_subsumption_just,[status(thm)],[c_483,c_61]) ).

tcf(c_3406,plain,
    ( ( e1 = e2 )
    | ~ sP66 ),
    inference(light_normalisation,[status(thm)],[c_565,c_760]) ).

tcf(c_3407,plain,
    ~ sP66,
    inference(forward_subsumption_resolution,[status(thm)],[c_3406,c_53]) ).

tcf(c_3408,plain,
    ( ( e1 = unit )
    | ~ sP68 ),
    inference(light_normalisation,[status(thm)],[c_561,c_798]) ).

tcf(c_3409,plain,
    ~ sP68,
    inference(forward_subsumption_resolution,[status(thm)],[c_3408,c_49]) ).

tcf(c_3410,plain,
    ( ( e1 = e4 )
    | ~ sP70 ),
    inference(light_normalisation,[status(thm)],[c_557,c_716]) ).

tcf(c_3411,plain,
    ~ sP70,
    inference(forward_subsumption_resolution,[status(thm)],[c_3410,c_55]) ).

tcf(c_3412,plain,
    ( ( e1 = unit )
    | ~ sP71 ),
    inference(light_normalisation,[status(thm)],[c_555,c_800]) ).

tcf(c_3413,plain,
    ~ sP71,
    inference(forward_subsumption_resolution,[status(thm)],[c_3412,c_49]) ).

tcf(c_3414,plain,
    ( ( e1 = e4 )
    | ~ sP72 ),
    inference(light_normalisation,[status(thm)],[c_553,c_720]) ).

tcf(c_3415,plain,
    ~ sP72,
    inference(forward_subsumption_resolution,[status(thm)],[c_3414,c_55]) ).

tcf(c_3416,plain,
    ( ( e1 = e3 )
    | ~ sP75 ),
    inference(light_normalisation,[status(thm)],[c_547,c_744]) ).

tcf(c_3417,plain,
    ~ sP75,
    inference(forward_subsumption_resolution,[status(thm)],[c_3416,c_54]) ).

tcf(c_3418,plain,
    ( ( e1 = unit )
    | ~ sP77 ),
    inference(light_normalisation,[status(thm)],[c_543,c_802]) ).

tcf(c_3419,plain,
    ~ sP77,
    inference(forward_subsumption_resolution,[status(thm)],[c_3418,c_49]) ).

tcf(c_3420,plain,
    ( ( e1 = e3 )
    | ~ sP78 ),
    inference(light_normalisation,[status(thm)],[c_541,c_748]) ).

tcf(c_3421,plain,
    ~ sP78,
    inference(forward_subsumption_resolution,[status(thm)],[c_3420,c_54]) ).

tcf(c_3422,plain,
    ( ( e1 = e2 )
    | ~ sP80 ),
    inference(light_normalisation,[status(thm)],[c_537,c_774]) ).

tcf(c_3423,plain,
    ~ sP80,
    inference(forward_subsumption_resolution,[status(thm)],[c_3422,c_53]) ).

tcf(c_3424,plain,
    ( ( e1 = e3 )
    | ~ sP81 ),
    inference(light_normalisation,[status(thm)],[c_535,c_752]) ).

tcf(c_3425,plain,
    ~ sP81,
    inference(forward_subsumption_resolution,[status(thm)],[c_3424,c_54]) ).

tcf(c_3426,plain,
    ( ( e1 = e2 )
    | ~ sP82 ),
    inference(light_normalisation,[status(thm)],[c_533,c_778]) ).

tcf(c_3427,plain,
    ~ sP82,
    inference(forward_subsumption_resolution,[status(thm)],[c_3426,c_53]) ).

tcf(c_3428,plain,
    ( ( e1 = e4 )
    | ~ sP83 ),
    inference(light_normalisation,[status(thm)],[c_531,c_732]) ).

tcf(c_3429,plain,
    ~ sP83,
    inference(forward_subsumption_resolution,[status(thm)],[c_3428,c_55]) ).

tcf(c_3430,plain,
    ( ( e1 = e4 )
    | ~ sP86 ),
    inference(light_normalisation,[status(thm)],[c_525,c_734]) ).

tcf(c_3431,plain,
    ~ sP86,
    inference(forward_subsumption_resolution,[status(thm)],[c_3430,c_55]) ).

tcf(c_3432,plain,
    ( ( e1 = e3 )
    | ~ sP87 ),
    inference(light_normalisation,[status(thm)],[c_523,c_758]) ).

tcf(c_3433,plain,
    ~ sP87,
    inference(forward_subsumption_resolution,[status(thm)],[c_3432,c_54]) ).

tcf(c_3484,plain,
    ( sP66
    | sP68
    | sP70
    | sP71
    | sP72
    | sP75
    | sP77
    | sP78
    | sP80
    | sP81
    | sP82
    | sP83
    | sP86
    | sP87
    | ( e1 = e2 )
    | ( e1 = unit ) ),
    inference(light_normalisation,[status(thm)],[c_1763,c_1740,c_1778]) ).

tcf(c_3485,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3484,c_3407,c_3409,c_3411,c_3413,c_3415,c_3417,c_3419,c_3421,c_3423,c_3425,c_3427,c_3429,c_3431,c_3433,c_53,c_49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ALG093+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n007.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 04:42:53 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 3.70/1.29  % SZS status Started for theBenchmark.p
% 3.70/1.29  % SZS status Theorem for theBenchmark.p
% 3.70/1.29  
% 3.70/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.70/1.29  
% 3.70/1.29  % ------  iProver source info
% 3.70/1.29  
% 3.70/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 3.70/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.70/1.29  % git: non_committed_changes: false
% 3.70/1.29  
% 3.70/1.29  % ------ Parsing...
% 3.70/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.70/1.29  
% 3.70/1.29  % ------ Preprocessing...% 
% 3.70/1.29  
% 3.70/1.29  % SZS status Theorem for theBenchmark.p
% 3.70/1.29  
% 3.70/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.70/1.29  
% 3.70/1.29  
%------------------------------------------------------------------------------