TSTP Solution File: ALG095+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG095+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:03:39 EDT 2024
% Result : Theorem 1.65s 1.16s
% Output : CNFRefutation 1.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f815)
% 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,
( e0 = op(e4,e4)
& e2 = op(e4,e3)
& e1 = op(e4,e2)
& e3 = op(e4,e1)
& e4 = op(e4,e0)
& e2 = op(e3,e4)
& e1 = op(e3,e3)
& e0 = op(e3,e2)
& e4 = op(e3,e1)
& e3 = op(e3,e0)
& e1 = op(e2,e4)
& e4 = op(e2,e3)
& e3 = op(e2,e2)
& e0 = op(e2,e1)
& e2 = op(e2,e0)
& e3 = op(e1,e4)
& e0 = op(e1,e3)
& e4 = op(e1,e2)
& e2 = op(e1,e1)
& e1 = op(e1,e0)
& e4 = op(e0,e4)
& e3 = op(e0,e3)
& e2 = op(e0,e2)
& e1 = op(e0,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f7,plain,
( ( ( e4 = op(op(e4,e4),e4)
| e4 != op(op(e4,e4),e4)
| op(e4,e4) = op(e4,e4) )
& ( e3 = op(op(e4,e3),e4)
| e4 != op(op(e4,e3),e3)
| op(e3,e4) = op(e4,e3) )
& ( e2 = op(op(e4,e2),e4)
| e4 != op(op(e4,e2),e2)
| op(e2,e4) = op(e4,e2) )
& ( e1 = op(op(e4,e1),e4)
| e4 != op(op(e4,e1),e1)
| op(e1,e4) = op(e4,e1) )
& ( e0 = op(op(e4,e0),e4)
| e4 != op(op(e4,e0),e0)
| op(e0,e4) = op(e4,e0) )
& ( e4 = op(op(e3,e4),e3)
| e3 != op(op(e3,e4),e4)
| op(e3,e4) = op(e4,e3) )
& ( e3 = op(op(e3,e3),e3)
| e3 != op(op(e3,e3),e3)
| op(e3,e3) = op(e3,e3) )
& ( e2 = op(op(e3,e2),e3)
| e3 != op(op(e3,e2),e2)
| op(e2,e3) = op(e3,e2) )
& ( e1 = op(op(e3,e1),e3)
| e3 != op(op(e3,e1),e1)
| op(e1,e3) = op(e3,e1) )
& ( e0 = op(op(e3,e0),e3)
| e3 != op(op(e3,e0),e0)
| op(e0,e3) = op(e3,e0) )
& ( e4 = op(op(e2,e4),e2)
| e2 != op(op(e2,e4),e4)
| op(e2,e4) = op(e4,e2) )
& ( e3 = op(op(e2,e3),e2)
| e2 != op(op(e2,e3),e3)
| op(e2,e3) = op(e3,e2) )
& ( e2 = op(op(e2,e2),e2)
| e2 != op(op(e2,e2),e2)
| op(e2,e2) = op(e2,e2) )
& ( e1 = op(op(e2,e1),e2)
| e2 != op(op(e2,e1),e1)
| op(e1,e2) = op(e2,e1) )
& ( e0 = op(op(e2,e0),e2)
| e2 != op(op(e2,e0),e0)
| op(e0,e2) = op(e2,e0) )
& ( e4 = op(op(e1,e4),e1)
| e1 != op(op(e1,e4),e4)
| op(e1,e4) = op(e4,e1) )
& ( e3 = op(op(e1,e3),e1)
| e1 != op(op(e1,e3),e3)
| op(e1,e3) = op(e3,e1) )
& ( e2 = op(op(e1,e2),e1)
| e1 != op(op(e1,e2),e2)
| op(e1,e2) = op(e2,e1) )
& ( e1 = op(op(e1,e1),e1)
| e1 != op(op(e1,e1),e1)
| op(e1,e1) = op(e1,e1) )
& ( e0 = op(op(e1,e0),e1)
| e1 != op(op(e1,e0),e0)
| op(e0,e1) = op(e1,e0) )
& ( e4 = op(op(e0,e4),e0)
| e0 != op(op(e0,e4),e4)
| op(e0,e4) = op(e4,e0) )
& ( e3 = op(op(e0,e3),e0)
| e0 != op(op(e0,e3),e3)
| op(e0,e3) = op(e3,e0) )
& ( e2 = op(op(e0,e2),e0)
| e0 != op(op(e0,e2),e2)
| op(e0,e2) = op(e2,e0) )
& ( e1 = op(op(e0,e1),e0)
| e0 != op(op(e0,e1),e1)
| op(e0,e1) = op(e1,e0) )
& ( e0 = op(op(e0,e0),e0)
| e0 != op(op(e0,e0),e0)
| op(e0,e0) = op(e0,e0) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f32,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f48,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f49,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f50,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f51,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f52,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f53,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f54,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f55,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f56,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f57,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f58,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f59,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f60,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f61,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f62,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f63,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f64,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f65,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f66,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f67,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f68,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f69,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f70,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f71,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f72,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f73,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f74,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f75,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f76,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f77,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f78,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f79,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f80,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f81,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f82,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f84,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f85,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f86,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f87,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f88,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f89,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f90,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f91,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f92,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f93,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f94,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f95,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f96,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f97,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f98,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f99,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f100,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f101,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f102,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f103,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f104,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f105,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f106,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f107,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f108,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f109,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f110,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f111,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f112,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f113,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f114,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f115,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f116,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f117,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f118,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f119,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f120,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f121,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f122,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f123,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f124,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f125,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f126,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f127,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f128,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f129,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f130,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f131,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f132,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f134,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP25 ),
inference(nnf_transformation,[],[f32]) ).
fof(f135,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f136,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f137,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f138,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f139,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f140,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f141,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f142,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f143,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f144,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f145,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f146,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f147,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f148,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f149,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f150,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f151,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f152,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f153,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f154,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f155,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f156,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f157,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f158,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f159,plain,
( ( ( e4 = op(op(e4,e4),e4)
| e4 != op(op(e4,e4),e4)
| op(e4,e4) = op(e4,e4) )
& ( e3 = op(op(e4,e3),e4)
| e4 != op(op(e4,e3),e3)
| op(e3,e4) = op(e4,e3) )
& ( e2 = op(op(e4,e2),e4)
| e4 != op(op(e4,e2),e2)
| op(e2,e4) = op(e4,e2) )
& ( e1 = op(op(e4,e1),e4)
| e4 != op(op(e4,e1),e1)
| op(e1,e4) = op(e4,e1) )
& ( e0 = op(op(e4,e0),e4)
| e4 != op(op(e4,e0),e0)
| op(e0,e4) = op(e4,e0) )
& ( e4 = op(op(e3,e4),e3)
| e3 != op(op(e3,e4),e4)
| op(e3,e4) = op(e4,e3) )
& ( e3 = op(op(e3,e3),e3)
| e3 != op(op(e3,e3),e3)
| op(e3,e3) = op(e3,e3) )
& ( e2 = op(op(e3,e2),e3)
| e3 != op(op(e3,e2),e2)
| op(e2,e3) = op(e3,e2) )
& ( e1 = op(op(e3,e1),e3)
| e3 != op(op(e3,e1),e1)
| op(e1,e3) = op(e3,e1) )
& ( e0 = op(op(e3,e0),e3)
| e3 != op(op(e3,e0),e0)
| op(e0,e3) = op(e3,e0) )
& ( e4 = op(op(e2,e4),e2)
| e2 != op(op(e2,e4),e4)
| op(e2,e4) = op(e4,e2) )
& ( e3 = op(op(e2,e3),e2)
| e2 != op(op(e2,e3),e3)
| op(e2,e3) = op(e3,e2) )
& ( e2 = op(op(e2,e2),e2)
| e2 != op(op(e2,e2),e2)
| op(e2,e2) = op(e2,e2) )
& ( e1 = op(op(e2,e1),e2)
| e2 != op(op(e2,e1),e1)
| op(e1,e2) = op(e2,e1) )
& ( e0 = op(op(e2,e0),e2)
| e2 != op(op(e2,e0),e0)
| op(e0,e2) = op(e2,e0) )
& ( e4 = op(op(e1,e4),e1)
| e1 != op(op(e1,e4),e4)
| op(e1,e4) = op(e4,e1) )
& ( e3 = op(op(e1,e3),e1)
| e1 != op(op(e1,e3),e3)
| op(e1,e3) = op(e3,e1) )
& ( e2 = op(op(e1,e2),e1)
| e1 != op(op(e1,e2),e2)
| op(e1,e2) = op(e2,e1) )
& ( e1 = op(op(e1,e1),e1)
| e1 != op(op(e1,e1),e1)
| op(e1,e1) = op(e1,e1) )
& ( e0 = op(op(e1,e0),e1)
| e1 != op(op(e1,e0),e0)
| op(e0,e1) = op(e1,e0) )
& ( e4 = op(op(e0,e4),e0)
| e0 != op(op(e0,e4),e4)
| op(e0,e4) = op(e4,e0) )
& ( e3 = op(op(e0,e3),e0)
| e0 != op(op(e0,e3),e3)
| op(e0,e3) = op(e3,e0) )
& ( e2 = op(op(e0,e2),e0)
| e0 != op(op(e0,e2),e2)
| op(e0,e2) = op(e2,e0) )
& ( e1 = op(op(e0,e1),e0)
| e0 != op(op(e0,e1),e1)
| op(e0,e1) = op(e1,e0) )
& ( e0 = op(op(e0,e0),e0)
| e0 != op(op(e0,e0),e0)
| op(e0,e0) = op(e0,e0) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f163,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f164,plain,
e1 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f170,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
e2 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
e4 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
e0 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
e3 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
e4 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
e1 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
e4 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
e0 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
e1 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
e2 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f194,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f195,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f196,plain,
( e4 != op(e4,e0)
| ~ sP75 ),
inference(cnf_transformation,[],[f84]) ).
fof(f202,plain,
( e3 != op(e1,e4)
| ~ sP74 ),
inference(cnf_transformation,[],[f85]) ).
fof(f207,plain,
( e3 != op(e4,e1)
| ~ sP73 ),
inference(cnf_transformation,[],[f86]) ).
fof(f214,plain,
( e2 != op(e3,e4)
| ~ sP72 ),
inference(cnf_transformation,[],[f87]) ).
fof(f219,plain,
( e2 != op(e4,e3)
| ~ sP71 ),
inference(cnf_transformation,[],[f88]) ).
fof(f223,plain,
( e1 != op(e2,e4)
| ~ sP70 ),
inference(cnf_transformation,[],[f89]) ).
fof(f228,plain,
( e1 != op(e4,e2)
| ~ sP69 ),
inference(cnf_transformation,[],[f90]) ).
fof(f235,plain,
( e0 != op(e4,e4)
| ~ sP68 ),
inference(cnf_transformation,[],[f91]) ).
fof(f240,plain,
( e0 != op(e4,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f92]) ).
fof(f243,plain,
( e4 != op(e2,e3)
| ~ sP66 ),
inference(cnf_transformation,[],[f93]) ).
fof(f247,plain,
( e4 != op(e3,e1)
| ~ sP65 ),
inference(cnf_transformation,[],[f94]) ).
fof(f251,plain,
( e3 != op(e0,e3)
| ~ sP64 ),
inference(cnf_transformation,[],[f95]) ).
fof(f256,plain,
( e3 != op(e3,e0)
| ~ sP63 ),
inference(cnf_transformation,[],[f96]) ).
fof(f265,plain,
( e2 != op(e4,e3)
| ~ sP62 ),
inference(cnf_transformation,[],[f97]) ).
fof(f270,plain,
( e2 != op(e3,e4)
| ~ sP61 ),
inference(cnf_transformation,[],[f98]) ).
fof(f274,plain,
( e1 != op(e3,e3)
| ~ sP60 ),
inference(cnf_transformation,[],[f99]) ).
fof(f279,plain,
( e1 != op(e3,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f100]) ).
fof(f282,plain,
( e0 != op(e1,e3)
| ~ sP58 ),
inference(cnf_transformation,[],[f101]) ).
fof(f288,plain,
( e0 != op(e3,e2)
| ~ sP57 ),
inference(cnf_transformation,[],[f102]) ).
fof(f292,plain,
( e4 != op(e1,e2)
| ~ sP56 ),
inference(cnf_transformation,[],[f103]) ).
fof(f299,plain,
( e4 != op(e2,e3)
| ~ sP55 ),
inference(cnf_transformation,[],[f104]) ).
fof(f303,plain,
( e3 != op(e2,e2)
| ~ sP54 ),
inference(cnf_transformation,[],[f105]) ).
fof(f308,plain,
( e3 != op(e2,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f106]) ).
fof(f311,plain,
( e2 != op(e0,e2)
| ~ sP52 ),
inference(cnf_transformation,[],[f107]) ).
fof(f316,plain,
( e2 != op(e2,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f108]) ).
fof(f325,plain,
( e1 != op(e4,e2)
| ~ sP50 ),
inference(cnf_transformation,[],[f109]) ).
fof(f330,plain,
( e1 != op(e2,e4)
| ~ sP49 ),
inference(cnf_transformation,[],[f110]) ).
fof(f334,plain,
( e0 != op(e3,e2)
| ~ sP48 ),
inference(cnf_transformation,[],[f111]) ).
fof(f337,plain,
( e0 != op(e2,e1)
| ~ sP47 ),
inference(cnf_transformation,[],[f112]) ).
fof(f344,plain,
( e4 != op(e3,e1)
| ~ sP46 ),
inference(cnf_transformation,[],[f113]) ).
fof(f348,plain,
( e4 != op(e1,e2)
| ~ sP45 ),
inference(cnf_transformation,[],[f114]) ).
fof(f355,plain,
( e3 != op(e4,e1)
| ~ sP44 ),
inference(cnf_transformation,[],[f115]) ).
fof(f360,plain,
( e3 != op(e1,e4)
| ~ sP43 ),
inference(cnf_transformation,[],[f116]) ).
fof(f362,plain,
( e2 != op(e1,e1)
| ~ sP42 ),
inference(cnf_transformation,[],[f117]) ).
fof(f367,plain,
( e2 != op(e1,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f118]) ).
fof(f371,plain,
( e1 != op(e0,e1)
| ~ sP40 ),
inference(cnf_transformation,[],[f119]) ).
fof(f376,plain,
( e1 != op(e1,e0)
| ~ sP39 ),
inference(cnf_transformation,[],[f120]) ).
fof(f383,plain,
( e0 != op(e2,e1)
| ~ sP38 ),
inference(cnf_transformation,[],[f121]) ).
fof(f389,plain,
( e0 != op(e1,e3)
| ~ sP37 ),
inference(cnf_transformation,[],[f122]) ).
fof(f395,plain,
( e4 != op(e4,e0)
| ~ sP36 ),
inference(cnf_transformation,[],[f123]) ).
fof(f400,plain,
( e4 != op(e0,e4)
| ~ sP35 ),
inference(cnf_transformation,[],[f124]) ).
fof(f404,plain,
( e3 != op(e3,e0)
| ~ sP34 ),
inference(cnf_transformation,[],[f125]) ).
fof(f409,plain,
( e3 != op(e0,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f126]) ).
fof(f413,plain,
( e2 != op(e2,e0)
| ~ sP32 ),
inference(cnf_transformation,[],[f127]) ).
fof(f418,plain,
( e2 != op(e0,e2)
| ~ sP31 ),
inference(cnf_transformation,[],[f128]) ).
fof(f422,plain,
( e1 != op(e1,e0)
| ~ sP30 ),
inference(cnf_transformation,[],[f129]) ).
fof(f427,plain,
( e1 != op(e0,e1)
| ~ sP29 ),
inference(cnf_transformation,[],[f130]) ).
fof(f431,plain,
( e0 != op(e0,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f131]) ).
fof(f436,plain,
( e0 != op(e0,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f132]) ).
fof(f446,plain,
( e0 != op(e4,e4)
| ~ sP25 ),
inference(cnf_transformation,[],[f134]) ).
fof(f453,plain,
( e2 != op(e4,e3)
| ~ sP24 ),
inference(cnf_transformation,[],[f135]) ).
fof(f457,plain,
( e1 != op(e4,e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f136]) ).
fof(f464,plain,
( e3 != op(e4,e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f137]) ).
fof(f470,plain,
( e4 != op(e4,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f138]) ).
fof(f473,plain,
( e2 != op(e3,e4)
| ~ sP20 ),
inference(cnf_transformation,[],[f139]) ).
fof(f477,plain,
( e1 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f140]) ).
fof(f481,plain,
( e0 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f141]) ).
fof(f490,plain,
( e4 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f142]) ).
fof(f494,plain,
( e3 != op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f143]) ).
fof(f497,plain,
( e1 != op(e2,e4)
| ~ sP15 ),
inference(cnf_transformation,[],[f144]) ).
fof(f505,plain,
( e4 != op(e2,e3)
| ~ sP14 ),
inference(cnf_transformation,[],[f145]) ).
fof(f509,plain,
( e3 != op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f146]) ).
fof(f511,plain,
( e0 != op(e2,e1)
| ~ sP12 ),
inference(cnf_transformation,[],[f147]) ).
fof(f518,plain,
( e2 != op(e2,e0)
| ~ sP11 ),
inference(cnf_transformation,[],[f148]) ).
fof(f524,plain,
( e3 != op(e1,e4)
| ~ sP10 ),
inference(cnf_transformation,[],[f149]) ).
fof(f526,plain,
( e0 != op(e1,e3)
| ~ sP9 ),
inference(cnf_transformation,[],[f150]) ).
fof(f535,plain,
( e4 != op(e1,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f151]) ).
fof(f538,plain,
( e2 != op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f152]) ).
fof(f542,plain,
( e1 != op(e1,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f153]) ).
fof(f550,plain,
( e4 != op(e0,e4)
| ~ sP5 ),
inference(cnf_transformation,[],[f154]) ).
fof(f554,plain,
( e3 != op(e0,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f155]) ).
fof(f558,plain,
( e2 != op(e0,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f156]) ).
fof(f562,plain,
( e1 != op(e0,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f566,plain,
( e0 != op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f587,plain,
( e1 = op(op(e3,e1),e3)
| e3 != op(op(e3,e1),e1)
| op(e1,e3) = op(e3,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f159]) ).
fof(f601,plain,
e4 != unit,
inference(definition_unfolding,[],[f163,f195]) ).
fof(f605,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f194,f195]) ).
fof(f606,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f190,f195]) ).
fof(f607,plain,
op(e3,e2) = unit,
inference(definition_unfolding,[],[f187,f195]) ).
fof(f608,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f185,f195]) ).
fof(f609,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f181,f195]) ).
fof(f610,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f180,f195]) ).
fof(f611,plain,
op(e1,e3) = unit,
inference(definition_unfolding,[],[f178,f195]) ).
fof(f612,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f175,f195]) ).
fof(f613,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f174,f195]) ).
fof(f614,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f173,f195]) ).
fof(f615,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f172,f195]) ).
fof(f616,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f171,f195]) ).
fof(f617,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f170,f195,f195,f195]) ).
fof(f618,plain,
( e4 != op(e4,unit)
| ~ sP75 ),
inference(definition_unfolding,[],[f196,f195]) ).
fof(f625,plain,
( op(e4,e4) != unit
| ~ sP68 ),
inference(definition_unfolding,[],[f235,f195]) ).
fof(f630,plain,
( op(e4,e4) != unit
| ~ sP67 ),
inference(definition_unfolding,[],[f240,f195]) ).
fof(f637,plain,
( e3 != op(unit,e3)
| ~ sP64 ),
inference(definition_unfolding,[],[f251,f195]) ).
fof(f638,plain,
( e3 != op(e3,unit)
| ~ sP63 ),
inference(definition_unfolding,[],[f256,f195]) ).
fof(f646,plain,
( op(e1,e3) != unit
| ~ sP58 ),
inference(definition_unfolding,[],[f282,f195]) ).
fof(f650,plain,
( op(e3,e2) != unit
| ~ sP57 ),
inference(definition_unfolding,[],[f288,f195]) ).
fof(f657,plain,
( e2 != op(unit,e2)
| ~ sP52 ),
inference(definition_unfolding,[],[f311,f195]) ).
fof(f658,plain,
( e2 != op(e2,unit)
| ~ sP51 ),
inference(definition_unfolding,[],[f316,f195]) ).
fof(f662,plain,
( op(e3,e2) != unit
| ~ sP48 ),
inference(definition_unfolding,[],[f334,f195]) ).
fof(f669,plain,
( op(e2,e1) != unit
| ~ sP47 ),
inference(definition_unfolding,[],[f337,f195]) ).
fof(f677,plain,
( e1 != op(unit,e1)
| ~ sP40 ),
inference(definition_unfolding,[],[f371,f195]) ).
fof(f678,plain,
( e1 != op(e1,unit)
| ~ sP39 ),
inference(definition_unfolding,[],[f376,f195]) ).
fof(f681,plain,
( op(e2,e1) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f383,f195]) ).
fof(f685,plain,
( op(e1,e3) != unit
| ~ sP37 ),
inference(definition_unfolding,[],[f389,f195]) ).
fof(f689,plain,
( e4 != op(e4,unit)
| ~ sP36 ),
inference(definition_unfolding,[],[f395,f195]) ).
fof(f694,plain,
( e4 != op(unit,e4)
| ~ sP35 ),
inference(definition_unfolding,[],[f400,f195]) ).
fof(f700,plain,
( e3 != op(e3,unit)
| ~ sP34 ),
inference(definition_unfolding,[],[f404,f195]) ).
fof(f705,plain,
( e3 != op(unit,e3)
| ~ sP33 ),
inference(definition_unfolding,[],[f409,f195]) ).
fof(f711,plain,
( e2 != op(e2,unit)
| ~ sP32 ),
inference(definition_unfolding,[],[f413,f195]) ).
fof(f716,plain,
( e2 != op(unit,e2)
| ~ sP31 ),
inference(definition_unfolding,[],[f418,f195]) ).
fof(f722,plain,
( e1 != op(e1,unit)
| ~ sP30 ),
inference(definition_unfolding,[],[f422,f195]) ).
fof(f727,plain,
( e1 != op(unit,e1)
| ~ sP29 ),
inference(definition_unfolding,[],[f427,f195]) ).
fof(f733,plain,
( unit != op(unit,unit)
| ~ sP28 ),
inference(definition_unfolding,[],[f431,f195,f195,f195]) ).
fof(f738,plain,
( unit != op(unit,unit)
| ~ sP27 ),
inference(definition_unfolding,[],[f436,f195,f195,f195]) ).
fof(f740,plain,
( op(e4,e4) != unit
| ~ sP25 ),
inference(definition_unfolding,[],[f446,f195]) ).
fof(f744,plain,
( e4 != op(e4,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f470,f195]) ).
fof(f751,plain,
( op(e3,e2) != unit
| ~ sP18 ),
inference(definition_unfolding,[],[f481,f195]) ).
fof(f754,plain,
( e3 != op(e3,unit)
| ~ sP16 ),
inference(definition_unfolding,[],[f494,f195]) ).
fof(f761,plain,
( op(e2,e1) != unit
| ~ sP12 ),
inference(definition_unfolding,[],[f511,f195]) ).
fof(f764,plain,
( e2 != op(e2,unit)
| ~ sP11 ),
inference(definition_unfolding,[],[f518,f195]) ).
fof(f768,plain,
( op(e1,e3) != unit
| ~ sP9 ),
inference(definition_unfolding,[],[f526,f195]) ).
fof(f774,plain,
( e1 != op(e1,unit)
| ~ sP6 ),
inference(definition_unfolding,[],[f542,f195]) ).
fof(f776,plain,
( e4 != op(unit,e4)
| ~ sP5 ),
inference(definition_unfolding,[],[f550,f195]) ).
fof(f782,plain,
( e3 != op(unit,e3)
| ~ sP4 ),
inference(definition_unfolding,[],[f554,f195]) ).
fof(f788,plain,
( e2 != op(unit,e2)
| ~ sP3 ),
inference(definition_unfolding,[],[f558,f195]) ).
fof(f794,plain,
( e1 != op(unit,e1)
| ~ sP2 ),
inference(definition_unfolding,[],[f562,f195]) ).
fof(f800,plain,
( unit != op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f566,f195,f195,f195]) ).
cnf(c_54,plain,
e2 != e1,
inference(cnf_transformation,[],[f164]) ).
cnf(c_55,plain,
e4 != unit,
inference(cnf_transformation,[],[f601]) ).
cnf(c_59,plain,
op(e4,e4) = unit,
inference(cnf_transformation,[],[f605]) ).
cnf(c_60,plain,
op(e4,e3) = e2,
inference(cnf_transformation,[],[f193]) ).
cnf(c_61,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f192]) ).
cnf(c_62,plain,
op(e4,e1) = e3,
inference(cnf_transformation,[],[f191]) ).
cnf(c_63,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f606]) ).
cnf(c_64,plain,
op(e3,e4) = e2,
inference(cnf_transformation,[],[f189]) ).
cnf(c_65,plain,
op(e3,e3) = e1,
inference(cnf_transformation,[],[f188]) ).
cnf(c_66,plain,
op(e3,e2) = unit,
inference(cnf_transformation,[],[f607]) ).
cnf(c_67,plain,
op(e3,e1) = e4,
inference(cnf_transformation,[],[f186]) ).
cnf(c_68,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f608]) ).
cnf(c_69,plain,
op(e2,e4) = e1,
inference(cnf_transformation,[],[f184]) ).
cnf(c_70,plain,
op(e2,e3) = e4,
inference(cnf_transformation,[],[f183]) ).
cnf(c_71,plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],[f182]) ).
cnf(c_72,plain,
op(e2,e1) = unit,
inference(cnf_transformation,[],[f609]) ).
cnf(c_73,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f610]) ).
cnf(c_74,plain,
op(e1,e4) = e3,
inference(cnf_transformation,[],[f179]) ).
cnf(c_75,plain,
op(e1,e3) = unit,
inference(cnf_transformation,[],[f611]) ).
cnf(c_76,plain,
op(e1,e2) = e4,
inference(cnf_transformation,[],[f177]) ).
cnf(c_77,plain,
op(e1,e1) = e2,
inference(cnf_transformation,[],[f176]) ).
cnf(c_78,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f612]) ).
cnf(c_79,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f613]) ).
cnf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f614]) ).
cnf(c_81,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f615]) ).
cnf(c_82,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f616]) ).
cnf(c_83,plain,
op(unit,unit) = unit,
inference(cnf_transformation,[],[f617]) ).
cnf(c_88,plain,
( op(e4,unit) != e4
| ~ sP75 ),
inference(cnf_transformation,[],[f618]) ).
cnf(c_92,plain,
( op(e1,e4) != e3
| ~ sP74 ),
inference(cnf_transformation,[],[f202]) ).
cnf(c_97,plain,
( op(e4,e1) != e3
| ~ sP73 ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_100,plain,
( op(e3,e4) != e2
| ~ sP72 ),
inference(cnf_transformation,[],[f214]) ).
cnf(c_105,plain,
( op(e4,e3) != e2
| ~ sP71 ),
inference(cnf_transformation,[],[f219]) ).
cnf(c_111,plain,
( op(e2,e4) != e1
| ~ sP70 ),
inference(cnf_transformation,[],[f223]) ).
cnf(c_116,plain,
( op(e4,e2) != e1
| ~ sP69 ),
inference(cnf_transformation,[],[f228]) ).
cnf(c_119,plain,
( op(e4,e4) != unit
| ~ sP68 ),
inference(cnf_transformation,[],[f625]) ).
cnf(c_124,plain,
( op(e4,e4) != unit
| ~ sP67 ),
inference(cnf_transformation,[],[f630]) ).
cnf(c_131,plain,
( op(e2,e3) != e4
| ~ sP66 ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_137,plain,
( op(e3,e1) != e4
| ~ sP65 ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_143,plain,
( op(unit,e3) != e3
| ~ sP64 ),
inference(cnf_transformation,[],[f637]) ).
cnf(c_148,plain,
( op(e3,unit) != e3
| ~ sP63 ),
inference(cnf_transformation,[],[f638]) ).
cnf(c_149,plain,
( op(e4,e3) != e2
| ~ sP62 ),
inference(cnf_transformation,[],[f265]) ).
cnf(c_154,plain,
( op(e3,e4) != e2
| ~ sP61 ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_160,plain,
( op(e3,e3) != e1
| ~ sP60 ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_165,plain,
( op(e3,e3) != e1
| ~ sP59 ),
inference(cnf_transformation,[],[f279]) ).
cnf(c_172,plain,
( op(e1,e3) != unit
| ~ sP58 ),
inference(cnf_transformation,[],[f646]) ).
cnf(c_176,plain,
( op(e3,e2) != unit
| ~ sP57 ),
inference(cnf_transformation,[],[f650]) ).
cnf(c_182,plain,
( op(e1,e2) != e4
| ~ sP56 ),
inference(cnf_transformation,[],[f292]) ).
cnf(c_185,plain,
( op(e2,e3) != e4
| ~ sP55 ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_191,plain,
( op(e2,e2) != e3
| ~ sP54 ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_196,plain,
( op(e2,e2) != e3
| ~ sP53 ),
inference(cnf_transformation,[],[f308]) ).
cnf(c_203,plain,
( op(unit,e2) != e2
| ~ sP52 ),
inference(cnf_transformation,[],[f657]) ).
cnf(c_208,plain,
( op(e2,unit) != e2
| ~ sP51 ),
inference(cnf_transformation,[],[f658]) ).
cnf(c_209,plain,
( op(e4,e2) != e1
| ~ sP50 ),
inference(cnf_transformation,[],[f325]) ).
cnf(c_214,plain,
( op(e2,e4) != e1
| ~ sP49 ),
inference(cnf_transformation,[],[f330]) ).
cnf(c_220,plain,
( op(e3,e2) != unit
| ~ sP48 ),
inference(cnf_transformation,[],[f662]) ).
cnf(c_227,plain,
( op(e2,e1) != unit
| ~ sP47 ),
inference(cnf_transformation,[],[f669]) ).
cnf(c_230,plain,
( op(e3,e1) != e4
| ~ sP46 ),
inference(cnf_transformation,[],[f344]) ).
cnf(c_236,plain,
( op(e1,e2) != e4
| ~ sP45 ),
inference(cnf_transformation,[],[f348]) ).
cnf(c_239,plain,
( op(e4,e1) != e3
| ~ sP44 ),
inference(cnf_transformation,[],[f355]) ).
cnf(c_244,plain,
( op(e1,e4) != e3
| ~ sP43 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_252,plain,
( op(e1,e1) != e2
| ~ sP42 ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_257,plain,
( op(e1,e1) != e2
| ~ sP41 ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_263,plain,
( op(unit,e1) != e1
| ~ sP40 ),
inference(cnf_transformation,[],[f677]) ).
cnf(c_268,plain,
( op(e1,unit) != e1
| ~ sP39 ),
inference(cnf_transformation,[],[f678]) ).
cnf(c_271,plain,
( op(e2,e1) != unit
| ~ sP38 ),
inference(cnf_transformation,[],[f681]) ).
cnf(c_275,plain,
( op(e1,e3) != unit
| ~ sP37 ),
inference(cnf_transformation,[],[f685]) ).
cnf(c_279,plain,
( op(e4,unit) != e4
| ~ sP36 ),
inference(cnf_transformation,[],[f689]) ).
cnf(c_284,plain,
( op(unit,e4) != e4
| ~ sP35 ),
inference(cnf_transformation,[],[f694]) ).
cnf(c_290,plain,
( op(e3,unit) != e3
| ~ sP34 ),
inference(cnf_transformation,[],[f700]) ).
cnf(c_295,plain,
( op(unit,e3) != e3
| ~ sP33 ),
inference(cnf_transformation,[],[f705]) ).
cnf(c_301,plain,
( op(e2,unit) != e2
| ~ sP32 ),
inference(cnf_transformation,[],[f711]) ).
cnf(c_306,plain,
( op(unit,e2) != e2
| ~ sP31 ),
inference(cnf_transformation,[],[f716]) ).
cnf(c_312,plain,
( op(e1,unit) != e1
| ~ sP30 ),
inference(cnf_transformation,[],[f722]) ).
cnf(c_317,plain,
( op(unit,e1) != e1
| ~ sP29 ),
inference(cnf_transformation,[],[f727]) ).
cnf(c_323,plain,
( op(unit,unit) != unit
| ~ sP28 ),
inference(cnf_transformation,[],[f733]) ).
cnf(c_328,plain,
( op(unit,unit) != unit
| ~ sP27 ),
inference(cnf_transformation,[],[f738]) ).
cnf(c_333,plain,
~ sP26,
inference(cnf_transformation,[],[f815]) ).
cnf(c_338,plain,
( op(e4,e4) != unit
| ~ sP25 ),
inference(cnf_transformation,[],[f740]) ).
cnf(c_341,plain,
( op(e4,e3) != e2
| ~ sP24 ),
inference(cnf_transformation,[],[f453]) ).
cnf(c_347,plain,
( op(e4,e2) != e1
| ~ sP23 ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_350,plain,
( op(e4,e1) != e3
| ~ sP22 ),
inference(cnf_transformation,[],[f464]) ).
cnf(c_354,plain,
( op(e4,unit) != e4
| ~ sP21 ),
inference(cnf_transformation,[],[f744]) ).
cnf(c_361,plain,
( op(e3,e4) != e2
| ~ sP20 ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_367,plain,
( op(e3,e3) != e1
| ~ sP19 ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_373,plain,
( op(e3,e2) != unit
| ~ sP18 ),
inference(cnf_transformation,[],[f751]) ).
cnf(c_374,plain,
( op(e3,e1) != e4
| ~ sP17 ),
inference(cnf_transformation,[],[f490]) ).
cnf(c_380,plain,
( op(e3,unit) != e3
| ~ sP16 ),
inference(cnf_transformation,[],[f754]) ).
cnf(c_387,plain,
( op(e2,e4) != e1
| ~ sP15 ),
inference(cnf_transformation,[],[f497]) ).
cnf(c_389,plain,
( op(e2,e3) != e4
| ~ sP14 ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_395,plain,
( op(e2,e2) != e3
| ~ sP13 ),
inference(cnf_transformation,[],[f509]) ).
cnf(c_403,plain,
( op(e2,e1) != unit
| ~ sP12 ),
inference(cnf_transformation,[],[f761]) ).
cnf(c_406,plain,
( op(e2,unit) != e2
| ~ sP11 ),
inference(cnf_transformation,[],[f764]) ).
cnf(c_410,plain,
( op(e1,e4) != e3
| ~ sP10 ),
inference(cnf_transformation,[],[f524]) ).
cnf(c_418,plain,
( op(e1,e3) != unit
| ~ sP9 ),
inference(cnf_transformation,[],[f768]) ).
cnf(c_419,plain,
( op(e1,e2) != e4
| ~ sP8 ),
inference(cnf_transformation,[],[f535]) ).
cnf(c_426,plain,
( op(e1,e1) != e2
| ~ sP7 ),
inference(cnf_transformation,[],[f538]) ).
cnf(c_432,plain,
( op(e1,unit) != e1
| ~ sP6 ),
inference(cnf_transformation,[],[f774]) ).
cnf(c_434,plain,
( op(unit,e4) != e4
| ~ sP5 ),
inference(cnf_transformation,[],[f776]) ).
cnf(c_440,plain,
( op(unit,e3) != e3
| ~ sP4 ),
inference(cnf_transformation,[],[f782]) ).
cnf(c_446,plain,
( op(unit,e2) != e2
| ~ sP3 ),
inference(cnf_transformation,[],[f788]) ).
cnf(c_452,plain,
( op(unit,e1) != e1
| ~ sP2 ),
inference(cnf_transformation,[],[f794]) ).
cnf(c_458,plain,
( op(unit,unit) != unit
| ~ sP1 ),
inference(cnf_transformation,[],[f800]) ).
cnf(c_465,plain,
( op(op(e3,e1),e1) != e3
| ~ sP0
| op(op(e3,e1),e3) = e1
| op(e3,e1) = op(e1,e3) ),
inference(cnf_transformation,[],[f587]) ).
cnf(c_483,negated_conjecture,
( op(e3,unit) != e3
| op(e4,unit) != e4
| op(e2,unit) != e2
| op(e1,unit) != e1
| op(unit,e3) != e3
| op(unit,e4) != e4
| op(unit,e2) != e2
| op(unit,e1) != e1
| op(unit,unit) != unit
| sP75
| sP74
| sP73
| sP72
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f820]) ).
cnf(c_1258,plain,
( op(op(e3,e1),e1) != e3
| op(op(e3,e1),e3) = e1
| op(e3,e1) = op(e1,e3) ),
inference(global_subsumption_just,[status(thm)],[c_465,c_333,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_458,c_452,c_446,c_440,c_434,c_432,c_426,c_419,c_418,c_410,c_406,c_403,c_395,c_389,c_387,c_380,c_374,c_373,c_367,c_361,c_354,c_350,c_347,c_341,c_338,c_328,c_323,c_317,c_312,c_306,c_301,c_295,c_290,c_284,c_279,c_275,c_271,c_268,c_263,c_257,c_252,c_244,c_239,c_236,c_230,c_227,c_220,c_214,c_209,c_208,c_203,c_196,c_191,c_185,c_182,c_176,c_172,c_165,c_160,c_154,c_149,c_148,c_143,c_137,c_131,c_124,c_119,c_116,c_111,c_105,c_100,c_97,c_92,c_88,c_465,c_483]) ).
cnf(c_1630,plain,
( e3 != e3
| e4 = unit
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_1258,c_60,c_62,c_67,c_75]) ).
cnf(c_1631,plain,
( e4 = unit
| e2 = e1 ),
inference(equality_resolution_simp,[status(thm)],[c_1630]) ).
cnf(c_1632,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1631,c_54,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG095+1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 23:11:06 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.65/1.16 % SZS status Started for theBenchmark.p
% 1.65/1.16 % SZS status Theorem for theBenchmark.p
% 1.65/1.16
% 1.65/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.65/1.16
% 1.65/1.16 ------ iProver source info
% 1.65/1.16
% 1.65/1.16 git: date: 2024-05-02 19:28:25 +0000
% 1.65/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.65/1.16 git: non_committed_changes: false
% 1.65/1.16
% 1.65/1.16 ------ Parsing...
% 1.65/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.65/1.16
% 1.65/1.16 ------ Preprocessing...
% 1.65/1.16
% 1.65/1.16 % SZS status Theorem for theBenchmark.p
% 1.65/1.16
% 1.65/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.65/1.17
% 1.65/1.17
%------------------------------------------------------------------------------