%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG066+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 : n017.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 12:53:20 PM UTC 2026
% Result : Theorem 1.78s 1.30s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f135ERROR: Could not build tree for root c_6660ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e4,e4) = e4
| op(e4,e4) = e3
| op(e4,e4) = e2
| op(e4,e4) = e1
| op(e4,e4) = e0 )
& ( op(e4,e3) = e4
| op(e4,e3) = e3
| op(e4,e3) = e2
| op(e4,e3) = e1
| op(e4,e3) = e0 )
& ( op(e4,e2) = e4
| op(e4,e2) = e3
| op(e4,e2) = e2
| op(e4,e2) = e1
| op(e4,e2) = e0 )
& ( op(e4,e1) = e4
| op(e4,e1) = e3
| op(e4,e1) = e2
| op(e4,e1) = e1
| op(e4,e1) = e0 )
& ( op(e4,e0) = e4
| op(e4,e0) = e3
| op(e4,e0) = e2
| op(e4,e0) = e1
| op(e4,e0) = e0 )
& ( op(e3,e4) = e4
| op(e3,e4) = e3
| op(e3,e4) = e2
| op(e3,e4) = e1
| op(e3,e4) = e0 )
& ( op(e3,e3) = e4
| op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e4
| op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e4
| op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e4
| op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e4) = e4
| op(e2,e4) = e3
| op(e2,e4) = e2
| op(e2,e4) = e1
| op(e2,e4) = e0 )
& ( op(e2,e3) = e4
| op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e4
| op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e4
| op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e4
| op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e4) = e4
| op(e1,e4) = e3
| op(e1,e4) = e2
| op(e1,e4) = e1
| op(e1,e4) = e0 )
& ( op(e1,e3) = e4
| op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e4
| op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e4
| op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e4
| op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e4) = e4
| op(e0,e4) = e3
| op(e0,e4) = e2
| op(e0,e4) = e1
| op(e0,e4) = e0 )
& ( op(e0,e3) = e4
| op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e4
| op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e4
| op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( unit = e4
| unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e4,unit) = e4
& op(unit,e4) = e4
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op(e4,e4) = e4
| op(e3,e4) = e4
| op(e2,e4) = e4
| op(e1,e4) = e4
| op(e0,e4) = e4 )
& ( op(e4,e4) = e4
| op(e4,e3) = e4
| op(e4,e2) = e4
| op(e4,e1) = e4
| op(e4,e0) = e4 )
& ( op(e4,e4) = e3
| op(e3,e4) = e3
| op(e2,e4) = e3
| op(e1,e4) = e3
| op(e0,e4) = e3 )
& ( op(e4,e4) = e3
| op(e4,e3) = e3
| op(e4,e2) = e3
| op(e4,e1) = e3
| op(e4,e0) = e3 )
& ( op(e4,e4) = e2
| op(e3,e4) = e2
| op(e2,e4) = e2
| op(e1,e4) = e2
| op(e0,e4) = e2 )
& ( op(e4,e4) = e2
| op(e4,e3) = e2
| op(e4,e2) = e2
| op(e4,e1) = e2
| op(e4,e0) = e2 )
& ( op(e4,e4) = e1
| op(e3,e4) = e1
| op(e2,e4) = e1
| op(e1,e4) = e1
| op(e0,e4) = e1 )
& ( op(e4,e4) = e1
| op(e4,e3) = e1
| op(e4,e2) = e1
| op(e4,e1) = e1
| op(e4,e0) = e1 )
& ( op(e4,e4) = e0
| op(e3,e4) = e0
| op(e2,e4) = e0
| op(e1,e4) = e0
| op(e0,e4) = e0 )
& ( op(e4,e4) = e0
| op(e4,e3) = e0
| op(e4,e2) = e0
| op(e4,e1) = e0
| op(e4,e0) = e0 )
& ( op(e4,e3) = e4
| op(e3,e3) = e4
| op(e2,e3) = e4
| op(e1,e3) = e4
| op(e0,e3) = e4 )
& ( op(e3,e4) = e4
| op(e3,e3) = e4
| op(e3,e2) = e4
| op(e3,e1) = e4
| op(e3,e0) = e4 )
& ( op(e4,e3) = e3
| op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e4) = e3
| op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e4,e3) = e2
| op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e4) = e2
| op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e4,e3) = e1
| op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e4) = e1
| op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e4,e3) = e0
| op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e4) = e0
| op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e4,e2) = e4
| op(e3,e2) = e4
| op(e2,e2) = e4
| op(e1,e2) = e4
| op(e0,e2) = e4 )
& ( op(e2,e4) = e4
| op(e2,e3) = e4
| op(e2,e2) = e4
| op(e2,e1) = e4
| op(e2,e0) = e4 )
& ( op(e4,e2) = e3
| op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e4) = e3
| op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e4,e2) = e2
| op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e4) = e2
| op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e4,e2) = e1
| op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e4) = e1
| op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e4,e2) = e0
| op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e4) = e0
| op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e4,e1) = e4
| op(e3,e1) = e4
| op(e2,e1) = e4
| op(e1,e1) = e4
| op(e0,e1) = e4 )
& ( op(e1,e4) = e4
| op(e1,e3) = e4
| op(e1,e2) = e4
| op(e1,e1) = e4
| op(e1,e0) = e4 )
& ( op(e4,e1) = e3
| op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e4) = e3
| op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e4,e1) = e2
| op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e4) = e2
| op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e4,e1) = e1
| op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e4) = e1
| op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e4,e1) = e0
| op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e4) = e0
| op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e4,e0) = e4
| op(e3,e0) = e4
| op(e2,e0) = e4
| op(e1,e0) = e4
| op(e0,e0) = e4 )
& ( op(e0,e4) = e4
| op(e0,e3) = e4
| op(e0,e2) = e4
| op(e0,e1) = e4
| op(e0,e0) = e4 )
& ( op(e4,e0) = e3
| op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e4) = e3
| op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e4,e0) = e2
| op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e4) = e2
| op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e4,e0) = e1
| op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e4) = e1
| op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e4,e0) = e0
| op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e4) = e0
| op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,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',ax5) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f141,plain,
( ~ sP129
| ( sP100
& sP101
& sP102
& sP103
& sP104
& sP105
& sP106
& sP107
& sP108
& sP109
& sP110
& sP111
& sP112
& sP113
& sP114
& sP115
& sP116
& sP117
& sP118
& sP119
& sP120
& sP121
& sP122
& sP123
& sP124 ) ),
inference(nnf_transformation,[],[f139]) ).
fof(f142,plain,
( ~ sP128
| ( sP75
& sP76
& sP77
& sP78
& sP79
& sP80
& sP81
& sP82
& sP83
& sP84
& sP85
& sP86
& sP87
& sP88
& sP89
& sP90
& sP91
& sP92
& sP93
& sP94
& sP95
& sP96
& sP97
& sP98
& sP99 ) ),
inference(nnf_transformation,[],[f138]) ).
fof(f143,plain,
( ~ sP127
| ( sP50
& sP51
& sP52
& sP53
& sP54
& sP55
& sP56
& sP57
& sP58
& sP59
& sP60
& sP61
& sP62
& sP63
& sP64
& sP65
& sP66
& sP67
& sP68
& sP69
& sP70
& sP71
& sP72
& sP73
& sP74 ) ),
inference(nnf_transformation,[],[f137]) ).
fof(f144,plain,
( ~ sP126
| ( sP25
& sP26
& sP27
& sP28
& sP29
& sP30
& sP31
& sP32
& sP33
& sP34
& sP35
& sP36
& sP37
& sP38
& sP39
& sP40
& sP41
& sP42
& sP43
& sP44
& sP45
& sP46
& sP47
& sP48
& sP49 ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f145,plain,
( ~ sP125
| ( sP0
& sP1
& sP2
& sP3
& sP4
& sP5
& sP6
& sP7
& sP8
& sP9
& sP10
& sP11
& sP12
& sP13
& sP14
& sP15
& sP16
& sP17
& sP18
& sP19
& sP20
& sP21
& sP22
& sP23
& sP24 ) ),
inference(nnf_transformation,[],[f135]) ).
fof(f146,plain,
( ~ sP124
| ( e0 != unit
& op(e0,e0) = e0 )
| op(e0,e0) != e0 ),
inference(nnf_transformation,[],[f134]) ).
fof(f150,plain,
( ~ sP120
| ( e0 != unit
& op(e0,e0) = e4 )
| op(e0,e4) != e0 ),
inference(nnf_transformation,[],[f130]) ).
fof(f155,plain,
( ~ sP115
| ( e0 != unit
& op(e1,e0) = e4 )
| op(e1,e4) != e0 ),
inference(nnf_transformation,[],[f125]) ).
fof(f159,plain,
( ~ sP111
| ( e0 != unit
& op(e2,e0) = e3 )
| op(e2,e3) != e0 ),
inference(nnf_transformation,[],[f121]) ).
fof(f160,plain,
( ~ sP110
| ( e0 != unit
& op(e2,e0) = e4 )
| op(e2,e4) != e0 ),
inference(nnf_transformation,[],[f120]) ).
fof(f165,plain,
( ~ sP105
| ( e0 != unit
& op(e3,e0) = e4 )
| op(e3,e4) != e0 ),
inference(nnf_transformation,[],[f115]) ).
fof(f170,plain,
( ~ sP100
| ( e0 != unit
& op(e4,e0) = e4 )
| op(e4,e4) != e0 ),
inference(nnf_transformation,[],[f110]) ).
fof(f184,plain,
( ~ sP86
| ( e1 != unit
& op(e2,e1) = e3 )
| op(e2,e3) != e1 ),
inference(nnf_transformation,[],[f96]) ).
fof(f193,plain,
( ~ sP77
| ( e1 != unit
& op(e4,e1) = e2 )
| op(e4,e2) != e1 ),
inference(nnf_transformation,[],[f87]) ).
fof(f205,plain,
( ~ sP65
| ( e2 != unit
& op(e1,e2) = e4 )
| op(e1,e4) != e2 ),
inference(nnf_transformation,[],[f75]) ).
fof(f216,plain,
( ~ sP54
| ( e2 != unit
& op(e4,e2) = e0 )
| op(e4,e0) != e2 ),
inference(nnf_transformation,[],[f64]) ).
fof(f219,plain,
( ~ sP51
| ( e2 != unit
& op(e4,e2) = e3 )
| op(e4,e3) != e2 ),
inference(nnf_transformation,[],[f61]) ).
fof(f228,plain,
( ~ sP42
| ( e3 != unit
& op(e1,e3) = e2 )
| op(e1,e2) != e3 ),
inference(nnf_transformation,[],[f52]) ).
fof(f241,plain,
( ~ sP29
| ( e3 != unit
& op(e4,e3) = e0 )
| op(e4,e0) != e3 ),
inference(nnf_transformation,[],[f39]) ).
fof(f242,plain,
( ~ sP28
| ( e3 != unit
& op(e4,e3) = e1 )
| op(e4,e1) != e3 ),
inference(nnf_transformation,[],[f38]) ).
fof(f254,plain,
( ~ sP16
| ( e4 != unit
& op(e1,e4) = e3 )
| op(e1,e3) != e4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f271,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f272,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f275,plain,
( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f286,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f287,plain,
( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f295,plain,
( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f296,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f297,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f298,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f299,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f300,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f303,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f310,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f312,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f315,plain,
( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f316,plain,
( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f321,plain,
( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f328,plain,
( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f334,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f336,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f340,plain,
( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f342,plain,
( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f357,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f358,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f359,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f361,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f364,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f365,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f380,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f387,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f390,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f391,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f394,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f404,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f408,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f409,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f410,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f412,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f413,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f416,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f418,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f420,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f422,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f425,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f426,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f428,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f431,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f440,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f442,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f446,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f448,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f452,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f453,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f455,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f457,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f458,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f459,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f460,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f461,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f462,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f463,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f464,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f465,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f466,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f467,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f468,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f469,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f470,plain,
( ~ sP129
| sP100 ),
inference(cnf_transformation,[],[f141]) ).
fof(f475,plain,
( ~ sP129
| sP105 ),
inference(cnf_transformation,[],[f141]) ).
fof(f480,plain,
( ~ sP129
| sP110 ),
inference(cnf_transformation,[],[f141]) ).
fof(f481,plain,
( ~ sP129
| sP111 ),
inference(cnf_transformation,[],[f141]) ).
fof(f485,plain,
( ~ sP129
| sP115 ),
inference(cnf_transformation,[],[f141]) ).
fof(f490,plain,
( ~ sP129
| sP120 ),
inference(cnf_transformation,[],[f141]) ).
fof(f494,plain,
( ~ sP129
| sP124 ),
inference(cnf_transformation,[],[f141]) ).
fof(f497,plain,
( ~ sP128
| sP77 ),
inference(cnf_transformation,[],[f142]) ).
fof(f506,plain,
( ~ sP128
| sP86 ),
inference(cnf_transformation,[],[f142]) ).
fof(f521,plain,
( ~ sP127
| sP51 ),
inference(cnf_transformation,[],[f143]) ).
fof(f524,plain,
( ~ sP127
| sP54 ),
inference(cnf_transformation,[],[f143]) ).
fof(f535,plain,
( ~ sP127
| sP65 ),
inference(cnf_transformation,[],[f143]) ).
fof(f548,plain,
( ~ sP126
| sP28 ),
inference(cnf_transformation,[],[f144]) ).
fof(f549,plain,
( ~ sP126
| sP29 ),
inference(cnf_transformation,[],[f144]) ).
fof(f562,plain,
( ~ sP126
| sP42 ),
inference(cnf_transformation,[],[f144]) ).
fof(f586,plain,
( ~ sP125
| sP16 ),
inference(cnf_transformation,[],[f145]) ).
fof(f595,plain,
( ~ sP124
| e0 != unit
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f603,plain,
( ~ sP120
| e0 != unit
| e0 != op(e0,e4) ),
inference(cnf_transformation,[],[f150]) ).
fof(f613,plain,
( ~ sP115
| e0 != unit
| e0 != op(e1,e4) ),
inference(cnf_transformation,[],[f155]) ).
fof(f622,plain,
( ~ sP111
| e3 = op(e2,e0)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f159]) ).
fof(f623,plain,
( ~ sP110
| e0 != unit
| e0 != op(e2,e4) ),
inference(cnf_transformation,[],[f160]) ).
fof(f633,plain,
( ~ sP105
| e0 != unit
| e0 != op(e3,e4) ),
inference(cnf_transformation,[],[f165]) ).
fof(f643,plain,
( ~ sP100
| e0 != unit
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f170]) ).
fof(f672,plain,
( ~ sP86
| e3 = op(e2,e1)
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f690,plain,
( ~ sP77
| e2 = op(e4,e1)
| e1 != op(e4,e2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f714,plain,
( ~ sP65
| e4 = op(e1,e2)
| e2 != op(e1,e4) ),
inference(cnf_transformation,[],[f205]) ).
fof(f736,plain,
( ~ sP54
| e0 = op(e4,e2)
| e2 != op(e4,e0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f742,plain,
( ~ sP51
| e3 = op(e4,e2)
| e2 != op(e4,e3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f760,plain,
( ~ sP42
| e2 = op(e1,e3)
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f228]) ).
fof(f786,plain,
( ~ sP29
| e0 = op(e4,e3)
| e3 != op(e4,e0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f788,plain,
( ~ sP28
| e1 = op(e4,e3)
| e3 != op(e4,e1) ),
inference(cnf_transformation,[],[f242]) ).
fof(f812,plain,
( ~ sP16
| e3 = op(e1,e4)
| e4 != op(e1,e3) ),
inference(cnf_transformation,[],[f254]) ).
fof(f845,plain,
( sP125
| sP126
| sP127
| sP128
| sP129 ),
inference(cnf_transformation,[],[f140]) ).
fof(f848,plain,
( e4 = op(e4,e2)
| e2 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f850,plain,
( e4 = op(e4,e0)
| e0 != op(e4,e4) ),
inference(cnf_transformation,[],[f140]) ).
fof(f853,plain,
( e3 = op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f856,plain,
( e2 = op(e2,e4)
| e4 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f860,plain,
( e2 = op(e2,e0)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f865,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f867,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f140]) ).
fof(f869,plain,
( e0 = op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_49,plain,
( ( op(e0,e0) = e4 )
| ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_57,plain,
( ( op(e1,e3) = e4 )
| ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_58,plain,
( ( op(e1,e4) = e4 )
| ( op(e1,e4) = e3 )
| ( op(e1,e4) = e2 )
| ( op(e1,e4) = e1 )
| ( op(e1,e4) = e0 ) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_69,plain,
( ( op(e4,e0) = e4 )
| ( op(e4,e0) = e3 )
| ( op(e4,e0) = e2 )
| ( op(e4,e0) = e1 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_72,plain,
( ( op(e4,e3) = e4 )
| ( op(e4,e3) = e3 )
| ( op(e4,e3) = e2 )
| ( op(e4,e3) = e1 )
| ( op(e4,e3) = e0 ) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_73,plain,
( ( op(e4,e4) = e4 )
| ( op(e4,e4) = e3 )
| ( op(e4,e4) = e2 )
| ( op(e4,e4) = e1 )
| ( op(e4,e4) = e0 ) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_77,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f303]) ).
tcf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f300]) ).
tcf(c_81,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f299]) ).
tcf(c_82,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f298]) ).
tcf(c_83,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f297]) ).
tcf(c_84,plain,
( ( e4 = unit )
| ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_99,plain,
( ( op(e1,e4) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f342]) ).
tcf(c_101,plain,
( ( op(e1,e4) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_105,plain,
( ( op(e2,e4) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f336]) ).
tcf(c_107,plain,
( ( op(e2,e4) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
( ( op(e2,e4) = e4 )
| ( op(e2,e3) = e4 )
| ( op(e2,e2) = e4 )
| ( op(e2,e1) = e4 )
| ( op(e2,e0) = e4 ) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_120,plain,
( ( op(e4,e3) = e2 )
| ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_125,plain,
( ( op(e4,e4) = e0 )
| ( op(e4,e3) = e0 )
| ( op(e4,e2) = e0 )
| ( op(e4,e1) = e0 )
| ( op(e4,e0) = e0 ) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_126,plain,
( ( op(e4,e4) = e0 )
| ( op(e3,e4) = e0 )
| ( op(e2,e4) = e0 )
| ( op(e1,e4) = e0 )
| ( op(e0,e4) = e0 ) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_129,plain,
( ( op(e4,e4) = e2 )
| ( op(e4,e3) = e2 )
| ( op(e4,e2) = e2 )
| ( op(e4,e1) = e2 )
| ( op(e4,e0) = e2 ) ),
inference(cnf_transformation,[],[f312]) ).
tcf(c_131,plain,
( ( op(e4,e4) = e3 )
| ( op(e4,e3) = e3 )
| ( op(e4,e2) = e3 )
| ( op(e4,e1) = e3 )
| ( op(e4,e0) = e3 ) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_136,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f455]) ).
tcf(c_138,plain,
op(e0,e0) != op(e4,e0),
inference(cnf_transformation,[],[f453]) ).
tcf(c_139,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f452]) ).
tcf(c_143,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f448]) ).
tcf(c_145,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f446]) ).
tcf(c_149,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f442]) ).
tcf(c_151,plain,
op(e1,e1) != op(e4,e1),
inference(cnf_transformation,[],[f440]) ).
tcf(c_160,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f431]) ).
tcf(c_163,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f428]) ).
tcf(c_165,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f426]) ).
tcf(c_166,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f425]) ).
tcf(c_169,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f422]) ).
tcf(c_171,plain,
op(e1,e3) != op(e4,e3),
inference(cnf_transformation,[],[f420]) ).
tcf(c_173,plain,
op(e2,e3) != op(e4,e3),
inference(cnf_transformation,[],[f418]) ).
tcf(c_175,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f416]) ).
tcf(c_178,plain,
op(e0,e4) != op(e4,e4),
inference(cnf_transformation,[],[f413]) ).
tcf(c_179,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f412]) ).
tcf(c_181,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f410]) ).
tcf(c_182,plain,
op(e2,e4) != op(e3,e4),
inference(cnf_transformation,[],[f409]) ).
tcf(c_183,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f408]) ).
tcf(c_187,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f404]) ).
tcf(c_197,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f394]) ).
tcf(c_198,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f393]) ).
tcf(c_200,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f391]) ).
tcf(c_201,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f390]) ).
tcf(c_204,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f387]) ).
tcf(c_208,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f383]) ).
tcf(c_211,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f380]) ).
tcf(c_226,plain,
op(e4,e0) != op(e4,e2),
inference(cnf_transformation,[],[f365]) ).
tcf(c_227,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f364]) ).
tcf(c_230,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f361]) ).
tcf(c_232,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f359]) ).
tcf(c_233,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f358]) ).
tcf(c_234,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f357]) ).
tcf(c_235,plain,
e0 != e1,
inference(cnf_transformation,[],[f466]) ).
tcf(c_236,plain,
e0 != e2,
inference(cnf_transformation,[],[f465]) ).
tcf(c_237,plain,
e0 != e3,
inference(cnf_transformation,[],[f464]) ).
tcf(c_238,plain,
e0 != e4,
inference(cnf_transformation,[],[f463]) ).
tcf(c_239,plain,
e1 != e2,
inference(cnf_transformation,[],[f462]) ).
tcf(c_240,plain,
e1 != e3,
inference(cnf_transformation,[],[f461]) ).
tcf(c_241,plain,
e1 != e4,
inference(cnf_transformation,[],[f460]) ).
tcf(c_242,plain,
e2 != e3,
inference(cnf_transformation,[],[f459]) ).
tcf(c_243,plain,
e2 != e4,
inference(cnf_transformation,[],[f458]) ).
tcf(c_244,plain,
e3 != e4,
inference(cnf_transformation,[],[f457]) ).
tcf(c_245,plain,
op(op(e4,e2),op(e4,e2)) = e0,
inference(cnf_transformation,[],[f469]) ).
tcf(c_246,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f468]) ).
tcf(c_247,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],[f467]) ).
tcf(c_248,plain,
( sP124
| ~ sP129 ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_252,plain,
( sP120
| ~ sP129 ),
inference(cnf_transformation,[],[f490]) ).
tcf(c_257,plain,
( sP115
| ~ sP129 ),
inference(cnf_transformation,[],[f485]) ).
tcf(c_261,plain,
( sP111
| ~ sP129 ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_262,plain,
( sP110
| ~ sP129 ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_267,plain,
( sP105
| ~ sP129 ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_272,plain,
( sP100
| ~ sP129 ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_286,plain,
( sP86
| ~ sP128 ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_295,plain,
( sP77
| ~ sP128 ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_307,plain,
( sP65
| ~ sP127 ),
inference(cnf_transformation,[],[f535]) ).
tcf(c_318,plain,
( sP54
| ~ sP127 ),
inference(cnf_transformation,[],[f524]) ).
tcf(c_321,plain,
( sP51
| ~ sP127 ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_330,plain,
( sP42
| ~ sP126 ),
inference(cnf_transformation,[],[f562]) ).
tcf(c_343,plain,
( sP29
| ~ sP126 ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_344,plain,
( sP28
| ~ sP126 ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_356,plain,
( sP16
| ~ sP125 ),
inference(cnf_transformation,[],[f586]) ).
tcf(c_373,plain,
( ~ sP124
| ( e0 != unit )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f595]) ).
tcf(c_381,plain,
( ~ sP120
| ( e0 != unit )
| ( op(e0,e4) != e0 ) ),
inference(cnf_transformation,[],[f603]) ).
tcf(c_390,plain,
( ~ sP115
| ( e0 != unit )
| ( op(e1,e4) != e0 ) ),
inference(cnf_transformation,[],[f613]) ).
tcf(c_396,plain,
( ( op(e2,e0) = e3 )
| ~ sP111
| ( op(e2,e3) != e0 ) ),
inference(cnf_transformation,[],[f622]) ).
tcf(c_399,plain,
( ~ sP110
| ( e0 != unit )
| ( op(e2,e4) != e0 ) ),
inference(cnf_transformation,[],[f623]) ).
tcf(c_408,plain,
( ~ sP105
| ( e0 != unit )
| ( op(e3,e4) != e0 ) ),
inference(cnf_transformation,[],[f633]) ).
tcf(c_417,plain,
( ~ sP100
| ( e0 != unit )
| ( op(e4,e4) != e0 ) ),
inference(cnf_transformation,[],[f643]) ).
tcf(c_441,plain,
( ( op(e2,e1) = e3 )
| ~ sP86
| ( op(e2,e3) != e1 ) ),
inference(cnf_transformation,[],[f672]) ).
tcf(c_457,plain,
( ( op(e4,e1) = e2 )
| ~ sP77
| ( op(e4,e2) != e1 ) ),
inference(cnf_transformation,[],[f690]) ).
tcf(c_479,plain,
( ( op(e1,e2) = e4 )
| ~ sP65
| ( op(e1,e4) != e2 ) ),
inference(cnf_transformation,[],[f714]) ).
tcf(c_499,plain,
( ( op(e4,e2) = e0 )
| ~ sP54
| ( op(e4,e0) != e2 ) ),
inference(cnf_transformation,[],[f736]) ).
tcf(c_504,plain,
( ( op(e4,e2) = e3 )
| ~ sP51
| ( op(e4,e3) != e2 ) ),
inference(cnf_transformation,[],[f742]) ).
tcf(c_521,plain,
( ( op(e1,e3) = e2 )
| ~ sP42
| ( op(e1,e2) != e3 ) ),
inference(cnf_transformation,[],[f760]) ).
tcf(c_544,plain,
( ( op(e4,e3) = e0 )
| ~ sP29
| ( op(e4,e0) != e3 ) ),
inference(cnf_transformation,[],[f786]) ).
tcf(c_546,plain,
( ( op(e4,e3) = e1 )
| ~ sP28
| ( op(e4,e1) != e3 ) ),
inference(cnf_transformation,[],[f788]) ).
tcf(c_568,plain,
( ( op(e1,e4) = e3 )
| ~ sP16
| ( op(e1,e3) != e4 ) ),
inference(cnf_transformation,[],[f812]) ).
tcf(c_598,negated_conjecture,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f869]) ).
tcf(c_600,negated_conjecture,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f867]) ).
tcf(c_602,negated_conjecture,
( ( op(e1,e0) = e1 )
| ( op(e1,e1) != e0 ) ),
inference(cnf_transformation,[],[f865]) ).
tcf(c_606,negated_conjecture,
( ( op(e2,e0) = e2 )
| ( op(e2,e2) != e0 ) ),
inference(cnf_transformation,[],[f860]) ).
tcf(c_609,negated_conjecture,
( ( op(e2,e4) = e2 )
| ( op(e2,e2) != e4 ) ),
inference(cnf_transformation,[],[f856]) ).
tcf(c_612,negated_conjecture,
( ( op(e3,e2) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(cnf_transformation,[],[f853]) ).
tcf(c_614,negated_conjecture,
( ( op(e4,e0) = e4 )
| ( op(e4,e4) != e0 ) ),
inference(cnf_transformation,[],[f850]) ).
tcf(c_616,negated_conjecture,
( ( op(e4,e2) = e4 )
| ( op(e4,e4) != e2 ) ),
inference(cnf_transformation,[],[f848]) ).
tcf(c_618,negated_conjecture,
( sP125
| sP126
| sP127
| sP128
| sP129 ),
inference(cnf_transformation,[],[f845]) ).
tcf(c_655,plain,
( ( op(e4,e1) = e2 )
| ~ sP77 ),
inference(global_subsumption_just,[status(thm)],[c_457,c_246,c_457]) ).
tcf(c_3432,plain,
( ~ sP129
| ( e0 != unit )
| ( op(e0,e0) != e0 ) ),
inference(resolution,[status(thm)],[c_248,c_373]) ).
tcf(c_3433,plain,
( ~ sP129
| ( e0 != unit ) ),
inference(global_subsumption_just,[status(thm)],[c_3432,c_272,c_267,c_262,c_257,c_252,c_417,c_408,c_399,c_390,c_381,c_126]) ).
tcf(c_3529,plain,
( ( op(e4,e1) = e2 )
| ~ sP128 ),
inference(resolution,[status(thm)],[c_295,c_655]) ).
tcf(c_3662,plain,
( ( op(e2,e0) = e3 )
| ~ sP129
| ( op(e2,e3) != e0 ) ),
inference(resolution,[status(thm)],[c_261,c_396]) ).
tcf(c_3886,plain,
( ( op(e2,e1) = e3 )
| ~ sP128
| ( op(e2,e3) != e1 ) ),
inference(resolution,[status(thm)],[c_286,c_441]) ).
tcf(c_4054,plain,
( ( op(e1,e2) = e4 )
| ~ sP127
| ( op(e1,e4) != e2 ) ),
inference(resolution,[status(thm)],[c_307,c_479]) ).
tcf(c_4166,plain,
( ( op(e4,e2) = e0 )
| ~ sP127
| ( op(e4,e0) != e2 ) ),
inference(resolution,[status(thm)],[c_318,c_499]) ).
tcf(c_4180,plain,
( ( op(e4,e2) = e3 )
| ~ sP127
| ( op(e4,e3) != e2 ) ),
inference(resolution,[status(thm)],[c_321,c_504]) ).
tcf(c_4250,plain,
( ( op(e1,e3) = e2 )
| ~ sP126
| ( op(e1,e2) != e3 ) ),
inference(resolution,[status(thm)],[c_330,c_521]) ).
tcf(c_4362,plain,
( ( op(e4,e3) = e0 )
| ~ sP126
| ( op(e4,e0) != e3 ) ),
inference(resolution,[status(thm)],[c_343,c_544]) ).
tcf(c_4376,plain,
( ( op(e4,e3) = e1 )
| ~ sP126
| ( op(e4,e1) != e3 ) ),
inference(resolution,[status(thm)],[c_344,c_546]) ).
tcf(c_4474,plain,
( ( op(e1,e4) = e3 )
| ~ sP125
| ( op(e1,e3) != e4 ) ),
inference(resolution,[status(thm)],[c_356,c_568]) ).
tcf(c_6660,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_4474,c_4376,c_4362,c_4250,c_4180,c_4166,c_4054,c_3886,c_3662,c_3529,c_3433,c_618,c_616,c_614,c_612,c_609,c_606,c_602,c_600,c_598,c_247,c_246,c_245,c_244,c_243,c_242,c_241,c_240,c_239,c_238,c_237,c_236,c_235,c_234,c_233,c_232,c_230,c_227,c_226,c_211,c_208,c_204,c_201,c_200,c_198,c_197,c_187,c_183,c_182,c_181,c_179,c_178,c_175,c_173,c_171,c_169,c_166,c_165,c_163,c_160,c_151,c_149,c_145,c_143,c_139,c_138,c_136,c_131,c_129,c_125,c_120,c_113,c_107,c_105,c_101,c_99,c_84,c_83,c_82,c_81,c_80,c_77,c_73,c_72,c_69,c_58,c_57,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG066+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 % Computer : n017.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 04:36:04 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 1.78/1.30 % SZS status Started for theBenchmark.p
% 1.78/1.30 % SZS status Theorem for theBenchmark.p
% 1.78/1.30
% 1.78/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.78/1.30
% 1.78/1.30 % ------ iProver source info
% 1.78/1.30
% 1.78/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.78/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.78/1.30 % git: non_committed_changes: false
% 1.78/1.30
% 1.78/1.30 % ------ Parsing...
% 1.78/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.78/1.30
% 1.78/1.30 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe_e %
% 1.78/1.30
% 1.78/1.30 % ------ Preprocessing...%
% 1.78/1.30
% 1.78/1.30 % SZS status Theorem for theBenchmark.p
% 1.78/1.30
% 1.78/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/1.30
% 4.33/1.30
%------------------------------------------------------------------------------