TSTP Solution File: ALG091+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n013.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 02:03:38 EDT 2024
% Result : Theorem 2.24s 1.11s
% Output : CNFRefutation 2.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f903)
% 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/sandbox2/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)
& e1 = op(e3,e4)
& e0 = op(e3,e3)
& e4 = op(e3,e2)
& e2 = op(e3,e1)
& e3 = op(e3,e0)
& e3 = op(e2,e4)
& e1 = op(e2,e3)
& e0 = op(e2,e2)
& e4 = op(e2,e1)
& e2 = op(e2,e0)
& e2 = op(e1,e4)
& e4 = op(e1,e3)
& e3 = op(e1,e2)
& e0 = 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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f7,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f10,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f12,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f13,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f14,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f15,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f16,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f17,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f18,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f19,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f20,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f21,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f22,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f23,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f24,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f25,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f26,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f27,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f28,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f29,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f30,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f31,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f34,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f35,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f36,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f37,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f38,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f39,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f40,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f41,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f42,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f43,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f44,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f45,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f46,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f47,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f48,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f49,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f50,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f51,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f52,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f53,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f54,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f55,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f56,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f57,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f58,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f59,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f60,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f61,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f62,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f63,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f64,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f65,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f66,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f67,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f68,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f69,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f70,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f71,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f72,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f73,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f74,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f75,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f76,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f77,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f78,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f79,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f80,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f81,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f82,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f83,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f84,plain,
( ( e0 != op(e0,e1)
& e1 = op(e0,e0) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f85,plain,
( ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f86,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f87,plain,
( ( e0 != op(e0,e4)
& e4 = op(e0,e0) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f88,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f89,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f90,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f91,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f92,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f93,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f94,plain,
( ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f95,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f96,plain,
( ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f97,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f98,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f99,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f100,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f101,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f102,plain,
( ( e3 != op(e3,e4)
& e4 = op(e3,e3) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f103,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f104,plain,
( ( e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f106,plain,
( ( e4 != op(e4,e1)
& e1 = op(e4,e4) )
| ~ sP97 ),
inference(nnf_transformation,[],[f104]) ).
fof(f107,plain,
( ( e4 != op(e4,e0)
& e0 = op(e4,e4) )
| ~ sP96 ),
inference(nnf_transformation,[],[f103]) ).
fof(f108,plain,
( ( e3 != op(e3,e4)
& e4 = op(e3,e3) )
| ~ sP95 ),
inference(nnf_transformation,[],[f102]) ).
fof(f109,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP94 ),
inference(nnf_transformation,[],[f101]) ).
fof(f110,plain,
( ( e3 != op(e3,e2)
& e2 = op(e3,e3) )
| ~ sP93 ),
inference(nnf_transformation,[],[f100]) ).
fof(f111,plain,
( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ~ sP92 ),
inference(nnf_transformation,[],[f99]) ).
fof(f112,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3) )
| ~ sP91 ),
inference(nnf_transformation,[],[f98]) ).
fof(f113,plain,
( ( e2 != op(e2,e4)
& e4 = op(e2,e2) )
| ~ sP90 ),
inference(nnf_transformation,[],[f97]) ).
fof(f114,plain,
( ( e2 != op(e2,e3)
& e3 = op(e2,e2) )
| ~ sP89 ),
inference(nnf_transformation,[],[f96]) ).
fof(f115,plain,
( ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP88 ),
inference(nnf_transformation,[],[f95]) ).
fof(f116,plain,
( ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| ~ sP87 ),
inference(nnf_transformation,[],[f94]) ).
fof(f117,plain,
( ( e2 != op(e2,e0)
& e0 = op(e2,e2) )
| ~ sP86 ),
inference(nnf_transformation,[],[f93]) ).
fof(f118,plain,
( ( e1 != op(e1,e4)
& e4 = op(e1,e1) )
| ~ sP85 ),
inference(nnf_transformation,[],[f92]) ).
fof(f119,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1) )
| ~ sP84 ),
inference(nnf_transformation,[],[f91]) ).
fof(f120,plain,
( ( e1 != op(e1,e2)
& e2 = op(e1,e1) )
| ~ sP83 ),
inference(nnf_transformation,[],[f90]) ).
fof(f121,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP82 ),
inference(nnf_transformation,[],[f89]) ).
fof(f122,plain,
( ( e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP81 ),
inference(nnf_transformation,[],[f88]) ).
fof(f123,plain,
( ( e0 != op(e0,e4)
& e4 = op(e0,e0) )
| ~ sP80 ),
inference(nnf_transformation,[],[f87]) ).
fof(f124,plain,
( ( e0 != op(e0,e3)
& e3 = op(e0,e0) )
| ~ sP79 ),
inference(nnf_transformation,[],[f86]) ).
fof(f125,plain,
( ( e0 != op(e0,e2)
& e2 = op(e0,e0) )
| ~ sP78 ),
inference(nnf_transformation,[],[f85]) ).
fof(f126,plain,
( ( e0 != op(e0,e1)
& e1 = op(e0,e0) )
| ~ sP77 ),
inference(nnf_transformation,[],[f84]) ).
fof(f127,plain,
( ( e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ~ sP76 ),
inference(nnf_transformation,[],[f83]) ).
fof(f128,plain,
( ( e4 != op(e4,e4)
& e4 != op(e3,e4)
& e4 != op(e2,e4)
& e4 != op(e1,e4)
& e4 != op(e0,e4) )
| ~ sP75 ),
inference(nnf_transformation,[],[f82]) ).
fof(f129,plain,
( ( e4 != op(e4,e4)
& e4 != op(e4,e3)
& e4 != op(e4,e2)
& e4 != op(e4,e1)
& e4 != op(e4,e0) )
| ~ sP74 ),
inference(nnf_transformation,[],[f81]) ).
fof(f130,plain,
( ( e3 != op(e4,e4)
& e3 != op(e3,e4)
& e3 != op(e2,e4)
& e3 != op(e1,e4)
& e3 != op(e0,e4) )
| ~ sP73 ),
inference(nnf_transformation,[],[f80]) ).
fof(f131,plain,
( ( e3 != op(e4,e4)
& e3 != op(e4,e3)
& e3 != op(e4,e2)
& e3 != op(e4,e1)
& e3 != op(e4,e0) )
| ~ sP72 ),
inference(nnf_transformation,[],[f79]) ).
fof(f132,plain,
( ( e2 != op(e4,e4)
& e2 != op(e3,e4)
& e2 != op(e2,e4)
& e2 != op(e1,e4)
& e2 != op(e0,e4) )
| ~ sP71 ),
inference(nnf_transformation,[],[f78]) ).
fof(f133,plain,
( ( e2 != op(e4,e4)
& e2 != op(e4,e3)
& e2 != op(e4,e2)
& e2 != op(e4,e1)
& e2 != op(e4,e0) )
| ~ sP70 ),
inference(nnf_transformation,[],[f77]) ).
fof(f134,plain,
( ( e1 != op(e4,e4)
& e1 != op(e3,e4)
& e1 != op(e2,e4)
& e1 != op(e1,e4)
& e1 != op(e0,e4) )
| ~ sP69 ),
inference(nnf_transformation,[],[f76]) ).
fof(f135,plain,
( ( e1 != op(e4,e4)
& e1 != op(e4,e3)
& e1 != op(e4,e2)
& e1 != op(e4,e1)
& e1 != op(e4,e0) )
| ~ sP68 ),
inference(nnf_transformation,[],[f75]) ).
fof(f136,plain,
( ( e0 != op(e4,e4)
& e0 != op(e3,e4)
& e0 != op(e2,e4)
& e0 != op(e1,e4)
& e0 != op(e0,e4) )
| ~ sP67 ),
inference(nnf_transformation,[],[f74]) ).
fof(f137,plain,
( ( e0 != op(e4,e4)
& e0 != op(e4,e3)
& e0 != op(e4,e2)
& e0 != op(e4,e1)
& e0 != op(e4,e0) )
| ~ sP66 ),
inference(nnf_transformation,[],[f73]) ).
fof(f138,plain,
( ( e4 != op(e4,e3)
& e4 != op(e3,e3)
& e4 != op(e2,e3)
& e4 != op(e1,e3)
& e4 != op(e0,e3) )
| ~ sP65 ),
inference(nnf_transformation,[],[f72]) ).
fof(f139,plain,
( ( e4 != op(e3,e4)
& e4 != op(e3,e3)
& e4 != op(e3,e2)
& e4 != op(e3,e1)
& e4 != op(e3,e0) )
| ~ sP64 ),
inference(nnf_transformation,[],[f71]) ).
fof(f140,plain,
( ( e3 != op(e4,e3)
& e3 != op(e3,e3)
& e3 != op(e2,e3)
& e3 != op(e1,e3)
& e3 != op(e0,e3) )
| ~ sP63 ),
inference(nnf_transformation,[],[f70]) ).
fof(f141,plain,
( ( e3 != op(e3,e4)
& e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP62 ),
inference(nnf_transformation,[],[f69]) ).
fof(f142,plain,
( ( e2 != op(e4,e3)
& e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP61 ),
inference(nnf_transformation,[],[f68]) ).
fof(f143,plain,
( ( e2 != op(e3,e4)
& e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP60 ),
inference(nnf_transformation,[],[f67]) ).
fof(f144,plain,
( ( e1 != op(e4,e3)
& e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP59 ),
inference(nnf_transformation,[],[f66]) ).
fof(f145,plain,
( ( e1 != op(e3,e4)
& e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP58 ),
inference(nnf_transformation,[],[f65]) ).
fof(f146,plain,
( ( e0 != op(e4,e3)
& e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP57 ),
inference(nnf_transformation,[],[f64]) ).
fof(f147,plain,
( ( e0 != op(e3,e4)
& e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP56 ),
inference(nnf_transformation,[],[f63]) ).
fof(f148,plain,
( ( e4 != op(e4,e2)
& e4 != op(e3,e2)
& e4 != op(e2,e2)
& e4 != op(e1,e2)
& e4 != op(e0,e2) )
| ~ sP55 ),
inference(nnf_transformation,[],[f62]) ).
fof(f149,plain,
( ( e4 != op(e2,e4)
& e4 != op(e2,e3)
& e4 != op(e2,e2)
& e4 != op(e2,e1)
& e4 != op(e2,e0) )
| ~ sP54 ),
inference(nnf_transformation,[],[f61]) ).
fof(f150,plain,
( ( e3 != op(e4,e2)
& e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP53 ),
inference(nnf_transformation,[],[f60]) ).
fof(f151,plain,
( ( e3 != op(e2,e4)
& e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP52 ),
inference(nnf_transformation,[],[f59]) ).
fof(f152,plain,
( ( e2 != op(e4,e2)
& e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP51 ),
inference(nnf_transformation,[],[f58]) ).
fof(f153,plain,
( ( e2 != op(e2,e4)
& e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP50 ),
inference(nnf_transformation,[],[f57]) ).
fof(f154,plain,
( ( e1 != op(e4,e2)
& e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP49 ),
inference(nnf_transformation,[],[f56]) ).
fof(f155,plain,
( ( e1 != op(e2,e4)
& e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP48 ),
inference(nnf_transformation,[],[f55]) ).
fof(f156,plain,
( ( e0 != op(e4,e2)
& e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP47 ),
inference(nnf_transformation,[],[f54]) ).
fof(f157,plain,
( ( e0 != op(e2,e4)
& e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP46 ),
inference(nnf_transformation,[],[f53]) ).
fof(f158,plain,
( ( e4 != op(e4,e1)
& e4 != op(e3,e1)
& e4 != op(e2,e1)
& e4 != op(e1,e1)
& e4 != op(e0,e1) )
| ~ sP45 ),
inference(nnf_transformation,[],[f52]) ).
fof(f159,plain,
( ( e4 != op(e1,e4)
& e4 != op(e1,e3)
& e4 != op(e1,e2)
& e4 != op(e1,e1)
& e4 != op(e1,e0) )
| ~ sP44 ),
inference(nnf_transformation,[],[f51]) ).
fof(f160,plain,
( ( e3 != op(e4,e1)
& e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP43 ),
inference(nnf_transformation,[],[f50]) ).
fof(f161,plain,
( ( e3 != op(e1,e4)
& e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP42 ),
inference(nnf_transformation,[],[f49]) ).
fof(f162,plain,
( ( e2 != op(e4,e1)
& e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP41 ),
inference(nnf_transformation,[],[f48]) ).
fof(f163,plain,
( ( e2 != op(e1,e4)
& e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP40 ),
inference(nnf_transformation,[],[f47]) ).
fof(f164,plain,
( ( e1 != op(e4,e1)
& e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP39 ),
inference(nnf_transformation,[],[f46]) ).
fof(f165,plain,
( ( e1 != op(e1,e4)
& e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP38 ),
inference(nnf_transformation,[],[f45]) ).
fof(f166,plain,
( ( e0 != op(e4,e1)
& e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP37 ),
inference(nnf_transformation,[],[f44]) ).
fof(f167,plain,
( ( e0 != op(e1,e4)
& e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP36 ),
inference(nnf_transformation,[],[f43]) ).
fof(f168,plain,
( ( e4 != op(e4,e0)
& e4 != op(e3,e0)
& e4 != op(e2,e0)
& e4 != op(e1,e0)
& e4 != op(e0,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f42]) ).
fof(f169,plain,
( ( e4 != op(e0,e4)
& e4 != op(e0,e3)
& e4 != op(e0,e2)
& e4 != op(e0,e1)
& e4 != op(e0,e0) )
| ~ sP34 ),
inference(nnf_transformation,[],[f41]) ).
fof(f170,plain,
( ( e3 != op(e4,e0)
& e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f40]) ).
fof(f171,plain,
( ( e3 != op(e0,e4)
& e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP32 ),
inference(nnf_transformation,[],[f39]) ).
fof(f172,plain,
( ( e2 != op(e4,e0)
& e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f38]) ).
fof(f173,plain,
( ( e2 != op(e0,e4)
& e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP30 ),
inference(nnf_transformation,[],[f37]) ).
fof(f174,plain,
( ( e1 != op(e4,e0)
& e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f36]) ).
fof(f175,plain,
( ( e1 != op(e0,e4)
& e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f35]) ).
fof(f176,plain,
( ( e0 != op(e4,e0)
& e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f34]) ).
fof(f177,plain,
( ( e0 != op(e0,e4)
& e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f33]) ).
fof(f179,plain,
( ( e4 != op(e4,e4)
& e3 != op(e4,e4)
& e2 != op(e4,e4)
& e1 != op(e4,e4)
& e0 != op(e4,e4) )
| ~ sP24 ),
inference(nnf_transformation,[],[f31]) ).
fof(f180,plain,
( ( e4 != op(e4,e3)
& e3 != op(e4,e3)
& e2 != op(e4,e3)
& e1 != op(e4,e3)
& e0 != op(e4,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f30]) ).
fof(f181,plain,
( ( e4 != op(e4,e2)
& e3 != op(e4,e2)
& e2 != op(e4,e2)
& e1 != op(e4,e2)
& e0 != op(e4,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f29]) ).
fof(f182,plain,
( ( e4 != op(e4,e1)
& e3 != op(e4,e1)
& e2 != op(e4,e1)
& e1 != op(e4,e1)
& e0 != op(e4,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f28]) ).
fof(f183,plain,
( ( e4 != op(e4,e0)
& e3 != op(e4,e0)
& e2 != op(e4,e0)
& e1 != op(e4,e0)
& e0 != op(e4,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f27]) ).
fof(f184,plain,
( ( e4 != op(e3,e4)
& e3 != op(e3,e4)
& e2 != op(e3,e4)
& e1 != op(e3,e4)
& e0 != op(e3,e4) )
| ~ sP19 ),
inference(nnf_transformation,[],[f26]) ).
fof(f185,plain,
( ( e4 != op(e3,e3)
& e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP18 ),
inference(nnf_transformation,[],[f25]) ).
fof(f186,plain,
( ( e4 != op(e3,e2)
& e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f24]) ).
fof(f187,plain,
( ( e4 != op(e3,e1)
& e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f23]) ).
fof(f188,plain,
( ( e4 != op(e3,e0)
& e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f22]) ).
fof(f189,plain,
( ( e4 != op(e2,e4)
& e3 != op(e2,e4)
& e2 != op(e2,e4)
& e1 != op(e2,e4)
& e0 != op(e2,e4) )
| ~ sP14 ),
inference(nnf_transformation,[],[f21]) ).
fof(f190,plain,
( ( e4 != op(e2,e3)
& e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP13 ),
inference(nnf_transformation,[],[f20]) ).
fof(f191,plain,
( ( e4 != op(e2,e2)
& e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f19]) ).
fof(f192,plain,
( ( e4 != op(e2,e1)
& e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f18]) ).
fof(f193,plain,
( ( e4 != op(e2,e0)
& e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f17]) ).
fof(f194,plain,
( ( e4 != op(e1,e4)
& e3 != op(e1,e4)
& e2 != op(e1,e4)
& e1 != op(e1,e4)
& e0 != op(e1,e4) )
| ~ sP9 ),
inference(nnf_transformation,[],[f16]) ).
fof(f195,plain,
( ( e4 != op(e1,e3)
& e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f15]) ).
fof(f196,plain,
( ( e4 != op(e1,e2)
& e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP7 ),
inference(nnf_transformation,[],[f14]) ).
fof(f197,plain,
( ( e4 != op(e1,e1)
& e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f13]) ).
fof(f198,plain,
( ( e4 != op(e1,e0)
& e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f12]) ).
fof(f199,plain,
( ( e4 != op(e0,e4)
& e3 != op(e0,e4)
& e2 != op(e0,e4)
& e1 != op(e0,e4)
& e0 != op(e0,e4) )
| ~ sP4 ),
inference(nnf_transformation,[],[f11]) ).
fof(f200,plain,
( ( e4 != op(e0,e3)
& e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f10]) ).
fof(f201,plain,
( ( e4 != op(e0,e2)
& e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f9]) ).
fof(f202,plain,
( ( e4 != op(e0,e1)
& e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP1 ),
inference(nnf_transformation,[],[f8]) ).
fof(f203,plain,
( ( e4 != op(e0,e0)
& e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f7]) ).
fof(f204,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f206,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f207,plain,
e0 != e4,
inference(cnf_transformation,[],[f1]) ).
fof(f214,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f215,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f218,plain,
e4 = op(e0,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
e0 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
e3 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
e4 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f223,plain,
e2 = op(e1,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
e4 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
e0 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f230,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
e4 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
e1 = op(e3,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
e4 = op(e4,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f235,plain,
e3 = op(e4,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f237,plain,
e2 = op(e4,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
e0 = op(e4,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f239,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
( e1 = op(e4,e4)
| ~ sP97 ),
inference(cnf_transformation,[],[f106]) ).
fof(f242,plain,
( e0 = op(e4,e4)
| ~ sP96 ),
inference(cnf_transformation,[],[f107]) ).
fof(f243,plain,
( e4 != op(e4,e0)
| ~ sP96 ),
inference(cnf_transformation,[],[f107]) ).
fof(f244,plain,
( e4 = op(e3,e3)
| ~ sP95 ),
inference(cnf_transformation,[],[f108]) ).
fof(f246,plain,
( e3 = op(e3,e3)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f247,plain,
( e3 != op(e3,e3)
| ~ sP94 ),
inference(cnf_transformation,[],[f109]) ).
fof(f248,plain,
( e2 = op(e3,e3)
| ~ sP93 ),
inference(cnf_transformation,[],[f110]) ).
fof(f250,plain,
( e1 = op(e3,e3)
| ~ sP92 ),
inference(cnf_transformation,[],[f111]) ).
fof(f252,plain,
( e0 = op(e3,e3)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f253,plain,
( e3 != op(e3,e0)
| ~ sP91 ),
inference(cnf_transformation,[],[f112]) ).
fof(f254,plain,
( e4 = op(e2,e2)
| ~ sP90 ),
inference(cnf_transformation,[],[f113]) ).
fof(f256,plain,
( e3 = op(e2,e2)
| ~ sP89 ),
inference(cnf_transformation,[],[f114]) ).
fof(f258,plain,
( e2 = op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f259,plain,
( e2 != op(e2,e2)
| ~ sP88 ),
inference(cnf_transformation,[],[f115]) ).
fof(f260,plain,
( e1 = op(e2,e2)
| ~ sP87 ),
inference(cnf_transformation,[],[f116]) ).
fof(f262,plain,
( e0 = op(e2,e2)
| ~ sP86 ),
inference(cnf_transformation,[],[f117]) ).
fof(f263,plain,
( e2 != op(e2,e0)
| ~ sP86 ),
inference(cnf_transformation,[],[f117]) ).
fof(f264,plain,
( e4 = op(e1,e1)
| ~ sP85 ),
inference(cnf_transformation,[],[f118]) ).
fof(f266,plain,
( e3 = op(e1,e1)
| ~ sP84 ),
inference(cnf_transformation,[],[f119]) ).
fof(f268,plain,
( e2 = op(e1,e1)
| ~ sP83 ),
inference(cnf_transformation,[],[f120]) ).
fof(f270,plain,
( e1 = op(e1,e1)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f271,plain,
( e1 != op(e1,e1)
| ~ sP82 ),
inference(cnf_transformation,[],[f121]) ).
fof(f272,plain,
( e0 = op(e1,e1)
| ~ sP81 ),
inference(cnf_transformation,[],[f122]) ).
fof(f273,plain,
( e1 != op(e1,e0)
| ~ sP81 ),
inference(cnf_transformation,[],[f122]) ).
fof(f274,plain,
( e4 = op(e0,e0)
| ~ sP80 ),
inference(cnf_transformation,[],[f123]) ).
fof(f276,plain,
( e3 = op(e0,e0)
| ~ sP79 ),
inference(cnf_transformation,[],[f124]) ).
fof(f278,plain,
( e2 = op(e0,e0)
| ~ sP78 ),
inference(cnf_transformation,[],[f125]) ).
fof(f280,plain,
( e1 = op(e0,e0)
| ~ sP77 ),
inference(cnf_transformation,[],[f126]) ).
fof(f282,plain,
( e0 = op(e0,e0)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f283,plain,
( e0 != op(e0,e0)
| ~ sP76 ),
inference(cnf_transformation,[],[f127]) ).
fof(f284,plain,
( e4 != op(e0,e4)
| ~ sP75 ),
inference(cnf_transformation,[],[f128]) ).
fof(f289,plain,
( e4 != op(e4,e0)
| ~ sP74 ),
inference(cnf_transformation,[],[f129]) ).
fof(f296,plain,
( e3 != op(e2,e4)
| ~ sP73 ),
inference(cnf_transformation,[],[f130]) ).
fof(f300,plain,
( e3 != op(e4,e1)
| ~ sP72 ),
inference(cnf_transformation,[],[f131]) ).
fof(f305,plain,
( e2 != op(e1,e4)
| ~ sP71 ),
inference(cnf_transformation,[],[f132]) ).
fof(f312,plain,
( e2 != op(e4,e3)
| ~ sP70 ),
inference(cnf_transformation,[],[f133]) ).
fof(f317,plain,
( e1 != op(e3,e4)
| ~ sP69 ),
inference(cnf_transformation,[],[f134]) ).
fof(f321,plain,
( e1 != op(e4,e2)
| ~ sP68 ),
inference(cnf_transformation,[],[f135]) ).
fof(f328,plain,
( e0 != op(e4,e4)
| ~ sP67 ),
inference(cnf_transformation,[],[f136]) ).
fof(f333,plain,
( e0 != op(e4,e4)
| ~ sP66 ),
inference(cnf_transformation,[],[f137]) ).
fof(f335,plain,
( e4 != op(e1,e3)
| ~ sP65 ),
inference(cnf_transformation,[],[f138]) ).
fof(f341,plain,
( e4 != op(e3,e2)
| ~ sP64 ),
inference(cnf_transformation,[],[f139]) ).
fof(f344,plain,
( e3 != op(e0,e3)
| ~ sP63 ),
inference(cnf_transformation,[],[f140]) ).
fof(f349,plain,
( e3 != op(e3,e0)
| ~ sP62 ),
inference(cnf_transformation,[],[f141]) ).
fof(f358,plain,
( e2 != op(e4,e3)
| ~ sP61 ),
inference(cnf_transformation,[],[f142]) ).
fof(f360,plain,
( e2 != op(e3,e1)
| ~ sP60 ),
inference(cnf_transformation,[],[f143]) ).
fof(f366,plain,
( e1 != op(e2,e3)
| ~ sP59 ),
inference(cnf_transformation,[],[f144]) ).
fof(f373,plain,
( e1 != op(e3,e4)
| ~ sP58 ),
inference(cnf_transformation,[],[f145]) ).
fof(f377,plain,
( e0 != op(e3,e3)
| ~ sP57 ),
inference(cnf_transformation,[],[f146]) ).
fof(f382,plain,
( e0 != op(e3,e3)
| ~ sP56 ),
inference(cnf_transformation,[],[f147]) ).
fof(f387,plain,
( e4 != op(e3,e2)
| ~ sP55 ),
inference(cnf_transformation,[],[f148]) ).
fof(f390,plain,
( e4 != op(e2,e1)
| ~ sP54 ),
inference(cnf_transformation,[],[f149]) ).
fof(f395,plain,
( e3 != op(e1,e2)
| ~ sP53 ),
inference(cnf_transformation,[],[f150]) ).
fof(f403,plain,
( e3 != op(e2,e4)
| ~ sP52 ),
inference(cnf_transformation,[],[f151]) ).
fof(f404,plain,
( e2 != op(e0,e2)
| ~ sP51 ),
inference(cnf_transformation,[],[f152]) ).
fof(f409,plain,
( e2 != op(e2,e0)
| ~ sP50 ),
inference(cnf_transformation,[],[f153]) ).
fof(f418,plain,
( e1 != op(e4,e2)
| ~ sP49 ),
inference(cnf_transformation,[],[f154]) ).
fof(f422,plain,
( e1 != op(e2,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f155]) ).
fof(f426,plain,
( e0 != op(e2,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f156]) ).
fof(f431,plain,
( e0 != op(e2,e2)
| ~ sP46 ),
inference(cnf_transformation,[],[f157]) ).
fof(f436,plain,
( e4 != op(e2,e1)
| ~ sP45 ),
inference(cnf_transformation,[],[f158]) ).
fof(f442,plain,
( e4 != op(e1,e3)
| ~ sP44 ),
inference(cnf_transformation,[],[f159]) ).
fof(f448,plain,
( e3 != op(e4,e1)
| ~ sP43 ),
inference(cnf_transformation,[],[f160]) ).
fof(f451,plain,
( e3 != op(e1,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f161]) ).
fof(f457,plain,
( e2 != op(e3,e1)
| ~ sP41 ),
inference(cnf_transformation,[],[f162]) ).
fof(f463,plain,
( e2 != op(e1,e4)
| ~ sP40 ),
inference(cnf_transformation,[],[f163]) ).
fof(f464,plain,
( e1 != op(e0,e1)
| ~ sP39 ),
inference(cnf_transformation,[],[f164]) ).
fof(f469,plain,
( e1 != op(e1,e0)
| ~ sP38 ),
inference(cnf_transformation,[],[f165]) ).
fof(f475,plain,
( e0 != op(e1,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f166]) ).
fof(f480,plain,
( e0 != op(e1,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f167]) ).
fof(f488,plain,
( e4 != op(e4,e0)
| ~ sP35 ),
inference(cnf_transformation,[],[f168]) ).
fof(f493,plain,
( e4 != op(e0,e4)
| ~ sP34 ),
inference(cnf_transformation,[],[f169]) ).
fof(f497,plain,
( e3 != op(e3,e0)
| ~ sP33 ),
inference(cnf_transformation,[],[f170]) ).
fof(f502,plain,
( e3 != op(e0,e3)
| ~ sP32 ),
inference(cnf_transformation,[],[f171]) ).
fof(f506,plain,
( e2 != op(e2,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f172]) ).
fof(f511,plain,
( e2 != op(e0,e2)
| ~ sP30 ),
inference(cnf_transformation,[],[f173]) ).
fof(f515,plain,
( e1 != op(e1,e0)
| ~ sP29 ),
inference(cnf_transformation,[],[f174]) ).
fof(f520,plain,
( e1 != op(e0,e1)
| ~ sP28 ),
inference(cnf_transformation,[],[f175]) ).
fof(f524,plain,
( e0 != op(e0,e0)
| ~ sP27 ),
inference(cnf_transformation,[],[f176]) ).
fof(f529,plain,
( e0 != op(e0,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f177]) ).
fof(f539,plain,
( e0 != op(e4,e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f179]) ).
fof(f546,plain,
( e2 != op(e4,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f180]) ).
fof(f550,plain,
( e1 != op(e4,e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f181]) ).
fof(f557,plain,
( e3 != op(e4,e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f182]) ).
fof(f563,plain,
( e4 != op(e4,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f183]) ).
fof(f565,plain,
( e1 != op(e3,e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f184]) ).
fof(f569,plain,
( e0 != op(e3,e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f185]) ).
fof(f578,plain,
( e4 != op(e3,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f186]) ).
fof(f581,plain,
( e2 != op(e3,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f187]) ).
fof(f587,plain,
( e3 != op(e3,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f188]) ).
fof(f592,plain,
( e3 != op(e2,e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f189]) ).
fof(f595,plain,
( e1 != op(e2,e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f190]) ).
fof(f599,plain,
( e0 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f191]) ).
fof(f608,plain,
( e4 != op(e2,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f192]) ).
fof(f611,plain,
( e2 != op(e2,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f193]) ).
fof(f616,plain,
( e2 != op(e1,e4)
| ~ sP9 ),
inference(cnf_transformation,[],[f194]) ).
fof(f623,plain,
( e4 != op(e1,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f195]) ).
fof(f627,plain,
( e3 != op(e1,e2)
| ~ sP7 ),
inference(cnf_transformation,[],[f196]) ).
fof(f629,plain,
( e0 != op(e1,e1)
| ~ sP6 ),
inference(cnf_transformation,[],[f197]) ).
fof(f635,plain,
( e1 != op(e1,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f198]) ).
fof(f643,plain,
( e4 != op(e0,e4)
| ~ sP4 ),
inference(cnf_transformation,[],[f199]) ).
fof(f647,plain,
( e3 != op(e0,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f200]) ).
fof(f651,plain,
( e2 != op(e0,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f201]) ).
fof(f655,plain,
( e1 != op(e0,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f202]) ).
fof(f659,plain,
( e0 != op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f203]) ).
fof(f672,plain,
e4 != unit,
inference(definition_unfolding,[],[f207,f239]) ).
fof(f673,plain,
e3 != unit,
inference(definition_unfolding,[],[f206,f239]) ).
fof(f674,plain,
e2 != unit,
inference(definition_unfolding,[],[f205,f239]) ).
fof(f675,plain,
e1 != unit,
inference(definition_unfolding,[],[f204,f239]) ).
fof(f676,plain,
op(e4,e4) = unit,
inference(definition_unfolding,[],[f238,f239]) ).
fof(f677,plain,
e4 = op(e4,unit),
inference(definition_unfolding,[],[f234,f239]) ).
fof(f678,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f232,f239]) ).
fof(f679,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f229,f239]) ).
fof(f680,plain,
op(e2,e2) = unit,
inference(definition_unfolding,[],[f226,f239]) ).
fof(f681,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f224,f239]) ).
fof(f682,plain,
op(e1,e1) = unit,
inference(definition_unfolding,[],[f220,f239]) ).
fof(f683,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f219,f239]) ).
fof(f684,plain,
e4 = op(unit,e4),
inference(definition_unfolding,[],[f218,f239]) ).
fof(f685,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f217,f239]) ).
fof(f686,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f216,f239]) ).
fof(f687,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f215,f239]) ).
fof(f688,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f214,f239,f239,f239]) ).
fof(f689,plain,
( e4 != op(e4,unit)
| ~ sP96 ),
inference(definition_unfolding,[],[f243,f239]) ).
fof(f690,plain,
( op(e4,e4) = unit
| ~ sP96 ),
inference(definition_unfolding,[],[f242,f239]) ).
fof(f691,plain,
( e3 != op(e3,unit)
| ~ sP91 ),
inference(definition_unfolding,[],[f253,f239]) ).
fof(f692,plain,
( op(e3,e3) = unit
| ~ sP91 ),
inference(definition_unfolding,[],[f252,f239]) ).
fof(f693,plain,
( e2 != op(e2,unit)
| ~ sP86 ),
inference(definition_unfolding,[],[f263,f239]) ).
fof(f694,plain,
( op(e2,e2) = unit
| ~ sP86 ),
inference(definition_unfolding,[],[f262,f239]) ).
fof(f695,plain,
( e1 != op(e1,unit)
| ~ sP81 ),
inference(definition_unfolding,[],[f273,f239]) ).
fof(f696,plain,
( op(e1,e1) = unit
| ~ sP81 ),
inference(definition_unfolding,[],[f272,f239]) ).
fof(f698,plain,
( e4 = op(unit,unit)
| ~ sP80 ),
inference(definition_unfolding,[],[f274,f239,f239]) ).
fof(f700,plain,
( e3 = op(unit,unit)
| ~ sP79 ),
inference(definition_unfolding,[],[f276,f239,f239]) ).
fof(f702,plain,
( e2 = op(unit,unit)
| ~ sP78 ),
inference(definition_unfolding,[],[f278,f239,f239]) ).
fof(f704,plain,
( e1 = op(unit,unit)
| ~ sP77 ),
inference(definition_unfolding,[],[f280,f239,f239]) ).
fof(f705,plain,
( unit != op(unit,unit)
| ~ sP76 ),
inference(definition_unfolding,[],[f283,f239,f239,f239]) ).
fof(f706,plain,
( unit = op(unit,unit)
| ~ sP76 ),
inference(definition_unfolding,[],[f282,f239,f239,f239]) ).
fof(f707,plain,
( e4 != op(unit,e4)
| ~ sP75 ),
inference(definition_unfolding,[],[f284,f239]) ).
fof(f708,plain,
( e4 != op(e4,unit)
| ~ sP74 ),
inference(definition_unfolding,[],[f289,f239]) ).
fof(f715,plain,
( op(e4,e4) != unit
| ~ sP67 ),
inference(definition_unfolding,[],[f328,f239]) ).
fof(f720,plain,
( op(e4,e4) != unit
| ~ sP66 ),
inference(definition_unfolding,[],[f333,f239]) ).
fof(f727,plain,
( e3 != op(unit,e3)
| ~ sP63 ),
inference(definition_unfolding,[],[f344,f239]) ).
fof(f728,plain,
( e3 != op(e3,unit)
| ~ sP62 ),
inference(definition_unfolding,[],[f349,f239]) ).
fof(f734,plain,
( op(e3,e3) != unit
| ~ sP57 ),
inference(definition_unfolding,[],[f377,f239]) ).
fof(f739,plain,
( op(e3,e3) != unit
| ~ sP56 ),
inference(definition_unfolding,[],[f382,f239]) ).
fof(f747,plain,
( e2 != op(unit,e2)
| ~ sP51 ),
inference(definition_unfolding,[],[f404,f239]) ).
fof(f748,plain,
( e2 != op(e2,unit)
| ~ sP50 ),
inference(definition_unfolding,[],[f409,f239]) ).
fof(f753,plain,
( op(e2,e2) != unit
| ~ sP47 ),
inference(definition_unfolding,[],[f426,f239]) ).
fof(f758,plain,
( op(e2,e2) != unit
| ~ sP46 ),
inference(definition_unfolding,[],[f431,f239]) ).
fof(f767,plain,
( e1 != op(unit,e1)
| ~ sP39 ),
inference(definition_unfolding,[],[f464,f239]) ).
fof(f768,plain,
( e1 != op(e1,unit)
| ~ sP38 ),
inference(definition_unfolding,[],[f469,f239]) ).
fof(f772,plain,
( op(e1,e1) != unit
| ~ sP37 ),
inference(definition_unfolding,[],[f475,f239]) ).
fof(f777,plain,
( op(e1,e1) != unit
| ~ sP36 ),
inference(definition_unfolding,[],[f480,f239]) ).
fof(f779,plain,
( e4 != op(e4,unit)
| ~ sP35 ),
inference(definition_unfolding,[],[f488,f239]) ).
fof(f784,plain,
( e4 != op(unit,e4)
| ~ sP34 ),
inference(definition_unfolding,[],[f493,f239]) ).
fof(f790,plain,
( e3 != op(e3,unit)
| ~ sP33 ),
inference(definition_unfolding,[],[f497,f239]) ).
fof(f795,plain,
( e3 != op(unit,e3)
| ~ sP32 ),
inference(definition_unfolding,[],[f502,f239]) ).
fof(f801,plain,
( e2 != op(e2,unit)
| ~ sP31 ),
inference(definition_unfolding,[],[f506,f239]) ).
fof(f806,plain,
( e2 != op(unit,e2)
| ~ sP30 ),
inference(definition_unfolding,[],[f511,f239]) ).
fof(f812,plain,
( e1 != op(e1,unit)
| ~ sP29 ),
inference(definition_unfolding,[],[f515,f239]) ).
fof(f817,plain,
( e1 != op(unit,e1)
| ~ sP28 ),
inference(definition_unfolding,[],[f520,f239]) ).
fof(f823,plain,
( unit != op(unit,unit)
| ~ sP27 ),
inference(definition_unfolding,[],[f524,f239,f239,f239]) ).
fof(f828,plain,
( unit != op(unit,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f529,f239,f239,f239]) ).
fof(f830,plain,
( op(e4,e4) != unit
| ~ sP24 ),
inference(definition_unfolding,[],[f539,f239]) ).
fof(f834,plain,
( e4 != op(e4,unit)
| ~ sP20 ),
inference(definition_unfolding,[],[f563,f239]) ).
fof(f840,plain,
( op(e3,e3) != unit
| ~ sP18 ),
inference(definition_unfolding,[],[f569,f239]) ).
fof(f844,plain,
( e3 != op(e3,unit)
| ~ sP15 ),
inference(definition_unfolding,[],[f587,f239]) ).
fof(f850,plain,
( op(e2,e2) != unit
| ~ sP12 ),
inference(definition_unfolding,[],[f599,f239]) ).
fof(f854,plain,
( e2 != op(e2,unit)
| ~ sP10 ),
inference(definition_unfolding,[],[f611,f239]) ).
fof(f860,plain,
( op(e1,e1) != unit
| ~ sP6 ),
inference(definition_unfolding,[],[f629,f239]) ).
fof(f864,plain,
( e1 != op(e1,unit)
| ~ sP5 ),
inference(definition_unfolding,[],[f635,f239]) ).
fof(f866,plain,
( e4 != op(unit,e4)
| ~ sP4 ),
inference(definition_unfolding,[],[f643,f239]) ).
fof(f872,plain,
( e3 != op(unit,e3)
| ~ sP3 ),
inference(definition_unfolding,[],[f647,f239]) ).
fof(f878,plain,
( e2 != op(unit,e2)
| ~ sP2 ),
inference(definition_unfolding,[],[f651,f239]) ).
fof(f884,plain,
( e1 != op(unit,e1)
| ~ sP1 ),
inference(definition_unfolding,[],[f655,f239]) ).
fof(f890,plain,
( unit != op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f659,f239,f239,f239]) ).
cnf(c_55,plain,
e4 != unit,
inference(cnf_transformation,[],[f672]) ).
cnf(c_56,plain,
e3 != unit,
inference(cnf_transformation,[],[f673]) ).
cnf(c_57,plain,
e2 != unit,
inference(cnf_transformation,[],[f674]) ).
cnf(c_58,plain,
e1 != unit,
inference(cnf_transformation,[],[f675]) ).
cnf(c_59,plain,
op(e4,e4) = unit,
inference(cnf_transformation,[],[f676]) ).
cnf(c_60,plain,
op(e4,e3) = e2,
inference(cnf_transformation,[],[f237]) ).
cnf(c_61,plain,
op(e4,e2) = e1,
inference(cnf_transformation,[],[f236]) ).
cnf(c_62,plain,
op(e4,e1) = e3,
inference(cnf_transformation,[],[f235]) ).
cnf(c_63,plain,
op(e4,unit) = e4,
inference(cnf_transformation,[],[f677]) ).
cnf(c_64,plain,
op(e3,e4) = e1,
inference(cnf_transformation,[],[f233]) ).
cnf(c_65,plain,
op(e3,e3) = unit,
inference(cnf_transformation,[],[f678]) ).
cnf(c_66,plain,
op(e3,e2) = e4,
inference(cnf_transformation,[],[f231]) ).
cnf(c_67,plain,
op(e3,e1) = e2,
inference(cnf_transformation,[],[f230]) ).
cnf(c_68,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f679]) ).
cnf(c_69,plain,
op(e2,e4) = e3,
inference(cnf_transformation,[],[f228]) ).
cnf(c_70,plain,
op(e2,e3) = e1,
inference(cnf_transformation,[],[f227]) ).
cnf(c_71,plain,
op(e2,e2) = unit,
inference(cnf_transformation,[],[f680]) ).
cnf(c_72,plain,
op(e2,e1) = e4,
inference(cnf_transformation,[],[f225]) ).
cnf(c_73,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f681]) ).
cnf(c_74,plain,
op(e1,e4) = e2,
inference(cnf_transformation,[],[f223]) ).
cnf(c_75,plain,
op(e1,e3) = e4,
inference(cnf_transformation,[],[f222]) ).
cnf(c_76,plain,
op(e1,e2) = e3,
inference(cnf_transformation,[],[f221]) ).
cnf(c_77,plain,
op(e1,e1) = unit,
inference(cnf_transformation,[],[f682]) ).
cnf(c_78,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f683]) ).
cnf(c_79,plain,
op(unit,e4) = e4,
inference(cnf_transformation,[],[f684]) ).
cnf(c_80,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f685]) ).
cnf(c_81,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f686]) ).
cnf(c_82,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f687]) ).
cnf(c_83,plain,
op(unit,unit) = unit,
inference(cnf_transformation,[],[f688]) ).
cnf(c_85,plain,
( ~ sP97
| op(e4,e4) = e1 ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_86,plain,
( op(e4,unit) != e4
| ~ sP96 ),
inference(cnf_transformation,[],[f689]) ).
cnf(c_87,plain,
( ~ sP96
| op(e4,e4) = unit ),
inference(cnf_transformation,[],[f690]) ).
cnf(c_89,plain,
( ~ sP95
| op(e3,e3) = e4 ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_90,plain,
( op(e3,e3) != e3
| ~ sP94 ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_91,plain,
( ~ sP94
| op(e3,e3) = e3 ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_93,plain,
( ~ sP93
| op(e3,e3) = e2 ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_95,plain,
( ~ sP92
| op(e3,e3) = e1 ),
inference(cnf_transformation,[],[f250]) ).
cnf(c_96,plain,
( op(e3,unit) != e3
| ~ sP91 ),
inference(cnf_transformation,[],[f691]) ).
cnf(c_97,plain,
( ~ sP91
| op(e3,e3) = unit ),
inference(cnf_transformation,[],[f692]) ).
cnf(c_99,plain,
( ~ sP90
| op(e2,e2) = e4 ),
inference(cnf_transformation,[],[f254]) ).
cnf(c_101,plain,
( ~ sP89
| op(e2,e2) = e3 ),
inference(cnf_transformation,[],[f256]) ).
cnf(c_102,plain,
( op(e2,e2) != e2
| ~ sP88 ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_103,plain,
( ~ sP88
| op(e2,e2) = e2 ),
inference(cnf_transformation,[],[f258]) ).
cnf(c_105,plain,
( ~ sP87
| op(e2,e2) = e1 ),
inference(cnf_transformation,[],[f260]) ).
cnf(c_106,plain,
( op(e2,unit) != e2
| ~ sP86 ),
inference(cnf_transformation,[],[f693]) ).
cnf(c_107,plain,
( ~ sP86
| op(e2,e2) = unit ),
inference(cnf_transformation,[],[f694]) ).
cnf(c_109,plain,
( ~ sP85
| op(e1,e1) = e4 ),
inference(cnf_transformation,[],[f264]) ).
cnf(c_111,plain,
( ~ sP84
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f266]) ).
cnf(c_113,plain,
( ~ sP83
| op(e1,e1) = e2 ),
inference(cnf_transformation,[],[f268]) ).
cnf(c_114,plain,
( op(e1,e1) != e1
| ~ sP82 ),
inference(cnf_transformation,[],[f271]) ).
cnf(c_115,plain,
( ~ sP82
| op(e1,e1) = e1 ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_116,plain,
( op(e1,unit) != e1
| ~ sP81 ),
inference(cnf_transformation,[],[f695]) ).
cnf(c_117,plain,
( ~ sP81
| op(e1,e1) = unit ),
inference(cnf_transformation,[],[f696]) ).
cnf(c_119,plain,
( ~ sP80
| op(unit,unit) = e4 ),
inference(cnf_transformation,[],[f698]) ).
cnf(c_121,plain,
( ~ sP79
| op(unit,unit) = e3 ),
inference(cnf_transformation,[],[f700]) ).
cnf(c_123,plain,
( ~ sP78
| op(unit,unit) = e2 ),
inference(cnf_transformation,[],[f702]) ).
cnf(c_125,plain,
( ~ sP77
| op(unit,unit) = e1 ),
inference(cnf_transformation,[],[f704]) ).
cnf(c_126,plain,
( op(unit,unit) != unit
| ~ sP76 ),
inference(cnf_transformation,[],[f705]) ).
cnf(c_127,plain,
( ~ sP76
| op(unit,unit) = unit ),
inference(cnf_transformation,[],[f706]) ).
cnf(c_132,plain,
( op(unit,e4) != e4
| ~ sP75 ),
inference(cnf_transformation,[],[f707]) ).
cnf(c_137,plain,
( op(e4,unit) != e4
| ~ sP74 ),
inference(cnf_transformation,[],[f708]) ).
cnf(c_140,plain,
( op(e2,e4) != e3
| ~ sP73 ),
inference(cnf_transformation,[],[f296]) ).
cnf(c_146,plain,
( op(e4,e1) != e3
| ~ sP72 ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_151,plain,
( op(e1,e4) != e2
| ~ sP71 ),
inference(cnf_transformation,[],[f305]) ).
cnf(c_154,plain,
( op(e4,e3) != e2
| ~ sP70 ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_159,plain,
( op(e3,e4) != e1
| ~ sP69 ),
inference(cnf_transformation,[],[f317]) ).
cnf(c_165,plain,
( op(e4,e2) != e1
| ~ sP68 ),
inference(cnf_transformation,[],[f321]) ).
cnf(c_168,plain,
( op(e4,e4) != unit
| ~ sP67 ),
inference(cnf_transformation,[],[f715]) ).
cnf(c_173,plain,
( op(e4,e4) != unit
| ~ sP66 ),
inference(cnf_transformation,[],[f720]) ).
cnf(c_181,plain,
( op(e1,e3) != e4
| ~ sP65 ),
inference(cnf_transformation,[],[f335]) ).
cnf(c_185,plain,
( op(e3,e2) != e4
| ~ sP64 ),
inference(cnf_transformation,[],[f341]) ).
cnf(c_192,plain,
( op(unit,e3) != e3
| ~ sP63 ),
inference(cnf_transformation,[],[f727]) ).
cnf(c_197,plain,
( op(e3,unit) != e3
| ~ sP62 ),
inference(cnf_transformation,[],[f728]) ).
cnf(c_198,plain,
( op(e4,e3) != e2
| ~ sP61 ),
inference(cnf_transformation,[],[f358]) ).
cnf(c_206,plain,
( op(e3,e1) != e2
| ~ sP60 ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_210,plain,
( op(e2,e3) != e1
| ~ sP59 ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_213,plain,
( op(e3,e4) != e1
| ~ sP58 ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_219,plain,
( op(e3,e3) != unit
| ~ sP57 ),
inference(cnf_transformation,[],[f734]) ).
cnf(c_224,plain,
( op(e3,e3) != unit
| ~ sP56 ),
inference(cnf_transformation,[],[f739]) ).
cnf(c_229,plain,
( op(e3,e2) != e4
| ~ sP55 ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_236,plain,
( op(e2,e1) != e4
| ~ sP54 ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_241,plain,
( op(e1,e2) != e3
| ~ sP53 ),
inference(cnf_transformation,[],[f395]) ).
cnf(c_243,plain,
( op(e2,e4) != e3
| ~ sP52 ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_252,plain,
( op(unit,e2) != e2
| ~ sP51 ),
inference(cnf_transformation,[],[f747]) ).
cnf(c_257,plain,
( op(e2,unit) != e2
| ~ sP50 ),
inference(cnf_transformation,[],[f748]) ).
cnf(c_258,plain,
( op(e4,e2) != e1
| ~ sP49 ),
inference(cnf_transformation,[],[f418]) ).
cnf(c_264,plain,
( op(e2,e3) != e1
| ~ sP48 ),
inference(cnf_transformation,[],[f422]) ).
cnf(c_270,plain,
( op(e2,e2) != unit
| ~ sP47 ),
inference(cnf_transformation,[],[f753]) ).
cnf(c_275,plain,
( op(e2,e2) != unit
| ~ sP46 ),
inference(cnf_transformation,[],[f758]) ).
cnf(c_280,plain,
( op(e2,e1) != e4
| ~ sP45 ),
inference(cnf_transformation,[],[f436]) ).
cnf(c_284,plain,
( op(e1,e3) != e4
| ~ sP44 ),
inference(cnf_transformation,[],[f442]) ).
cnf(c_288,plain,
( op(e4,e1) != e3
| ~ sP43 ),
inference(cnf_transformation,[],[f448]) ).
cnf(c_295,plain,
( op(e1,e2) != e3
| ~ sP42 ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_299,plain,
( op(e3,e1) != e2
| ~ sP41 ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_303,plain,
( op(e1,e4) != e2
| ~ sP40 ),
inference(cnf_transformation,[],[f463]) ).
cnf(c_312,plain,
( op(unit,e1) != e1
| ~ sP39 ),
inference(cnf_transformation,[],[f767]) ).
cnf(c_317,plain,
( op(e1,unit) != e1
| ~ sP38 ),
inference(cnf_transformation,[],[f768]) ).
cnf(c_321,plain,
( op(e1,e1) != unit
| ~ sP37 ),
inference(cnf_transformation,[],[f772]) ).
cnf(c_326,plain,
( op(e1,e1) != unit
| ~ sP36 ),
inference(cnf_transformation,[],[f777]) ).
cnf(c_328,plain,
( op(e4,unit) != e4
| ~ sP35 ),
inference(cnf_transformation,[],[f779]) ).
cnf(c_333,plain,
( op(unit,e4) != e4
| ~ sP34 ),
inference(cnf_transformation,[],[f784]) ).
cnf(c_339,plain,
( op(e3,unit) != e3
| ~ sP33 ),
inference(cnf_transformation,[],[f790]) ).
cnf(c_344,plain,
( op(unit,e3) != e3
| ~ sP32 ),
inference(cnf_transformation,[],[f795]) ).
cnf(c_350,plain,
( op(e2,unit) != e2
| ~ sP31 ),
inference(cnf_transformation,[],[f801]) ).
cnf(c_355,plain,
( op(unit,e2) != e2
| ~ sP30 ),
inference(cnf_transformation,[],[f806]) ).
cnf(c_361,plain,
( op(e1,unit) != e1
| ~ sP29 ),
inference(cnf_transformation,[],[f812]) ).
cnf(c_366,plain,
( op(unit,e1) != e1
| ~ sP28 ),
inference(cnf_transformation,[],[f817]) ).
cnf(c_372,plain,
( op(unit,unit) != unit
| ~ sP27 ),
inference(cnf_transformation,[],[f823]) ).
cnf(c_377,plain,
( op(unit,unit) != unit
| ~ sP26 ),
inference(cnf_transformation,[],[f828]) ).
cnf(c_382,plain,
~ sP25,
inference(cnf_transformation,[],[f899]) ).
cnf(c_387,plain,
( op(e4,e4) != unit
| ~ sP24 ),
inference(cnf_transformation,[],[f830]) ).
cnf(c_390,plain,
( op(e4,e3) != e2
| ~ sP23 ),
inference(cnf_transformation,[],[f546]) ).
cnf(c_396,plain,
( op(e4,e2) != e1
| ~ sP22 ),
inference(cnf_transformation,[],[f550]) ).
cnf(c_399,plain,
( op(e4,e1) != e3
| ~ sP21 ),
inference(cnf_transformation,[],[f557]) ).
cnf(c_403,plain,
( op(e4,unit) != e4
| ~ sP20 ),
inference(cnf_transformation,[],[f834]) ).
cnf(c_411,plain,
( op(e3,e4) != e1
| ~ sP19 ),
inference(cnf_transformation,[],[f565]) ).
cnf(c_417,plain,
( op(e3,e3) != unit
| ~ sP18 ),
inference(cnf_transformation,[],[f840]) ).
cnf(c_418,plain,
( op(e3,e2) != e4
| ~ sP17 ),
inference(cnf_transformation,[],[f578]) ).
cnf(c_425,plain,
( op(e3,e1) != e2
| ~ sP16 ),
inference(cnf_transformation,[],[f581]) ).
cnf(c_429,plain,
( op(e3,unit) != e3
| ~ sP15 ),
inference(cnf_transformation,[],[f844]) ).
cnf(c_434,plain,
( op(e2,e4) != e3
| ~ sP14 ),
inference(cnf_transformation,[],[f592]) ).
cnf(c_441,plain,
( op(e2,e3) != e1
| ~ sP13 ),
inference(cnf_transformation,[],[f595]) ).
cnf(c_447,plain,
( op(e2,e2) != unit
| ~ sP12 ),
inference(cnf_transformation,[],[f850]) ).
cnf(c_448,plain,
( op(e2,e1) != e4
| ~ sP11 ),
inference(cnf_transformation,[],[f608]) ).
cnf(c_455,plain,
( op(e2,unit) != e2
| ~ sP10 ),
inference(cnf_transformation,[],[f854]) ).
cnf(c_460,plain,
( op(e1,e4) != e2
| ~ sP9 ),
inference(cnf_transformation,[],[f616]) ).
cnf(c_463,plain,
( op(e1,e3) != e4
| ~ sP8 ),
inference(cnf_transformation,[],[f623]) ).
cnf(c_469,plain,
( op(e1,e2) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f627]) ).
cnf(c_477,plain,
( op(e1,e1) != unit
| ~ sP6 ),
inference(cnf_transformation,[],[f860]) ).
cnf(c_481,plain,
( op(e1,unit) != e1
| ~ sP5 ),
inference(cnf_transformation,[],[f864]) ).
cnf(c_483,plain,
( op(unit,e4) != e4
| ~ sP4 ),
inference(cnf_transformation,[],[f866]) ).
cnf(c_489,plain,
( op(unit,e3) != e3
| ~ sP3 ),
inference(cnf_transformation,[],[f872]) ).
cnf(c_495,plain,
( op(unit,e2) != e2
| ~ sP2 ),
inference(cnf_transformation,[],[f878]) ).
cnf(c_501,plain,
( op(unit,e1) != e1
| ~ sP1 ),
inference(cnf_transformation,[],[f884]) ).
cnf(c_507,plain,
( op(unit,unit) != unit
| ~ sP0 ),
inference(cnf_transformation,[],[f890]) ).
cnf(c_511,negated_conjecture,
( op(e3,unit) != e3
| op(e4,e4) != e4
| 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
| op(e4,e4) = e3
| op(e4,e4) = e2
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| 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,[],[f903]) ).
cnf(c_515,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
| op(e4,e4) = e3
| op(e4,e4) = e4
| op(e4,e4) = e2
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| 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,[],[f907]) ).
cnf(c_524,plain,
op(unit,unit) = unit,
inference(global_subsumption_just,[status(thm)],[c_127,c_83]) ).
cnf(c_526,plain,
op(e1,e1) = unit,
inference(global_subsumption_just,[status(thm)],[c_117,c_77]) ).
cnf(c_528,plain,
~ sP82,
inference(global_subsumption_just,[status(thm)],[c_115,c_115,c_114]) ).
cnf(c_530,plain,
op(e2,e2) = unit,
inference(global_subsumption_just,[status(thm)],[c_107,c_71]) ).
cnf(c_532,plain,
~ sP88,
inference(global_subsumption_just,[status(thm)],[c_103,c_103,c_102]) ).
cnf(c_534,plain,
op(e3,e3) = unit,
inference(global_subsumption_just,[status(thm)],[c_97,c_65]) ).
cnf(c_536,plain,
~ sP94,
inference(global_subsumption_just,[status(thm)],[c_91,c_91,c_90]) ).
cnf(c_538,plain,
op(e4,e4) = unit,
inference(global_subsumption_just,[status(thm)],[c_87,c_59]) ).
cnf(c_1306,plain,
( sP77
| sP78
| sP79
| sP80
| sP83
| sP84
| sP85
| sP89
| sP90
| sP95
| op(e4,e4) = e3
| op(e4,e4) = e2
| sP97
| sP93
| sP92
| sP87 ),
inference(global_subsumption_just,[status(thm)],[c_515,c_382,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_507,c_501,c_495,c_489,c_483,c_481,c_477,c_469,c_463,c_460,c_455,c_448,c_447,c_441,c_434,c_429,c_425,c_418,c_417,c_411,c_403,c_399,c_396,c_390,c_387,c_377,c_372,c_366,c_361,c_355,c_350,c_344,c_339,c_333,c_328,c_326,c_321,c_317,c_312,c_303,c_299,c_295,c_288,c_284,c_280,c_275,c_270,c_264,c_258,c_257,c_252,c_243,c_241,c_236,c_229,c_224,c_219,c_213,c_210,c_206,c_198,c_197,c_192,c_185,c_181,c_173,c_168,c_165,c_159,c_154,c_151,c_146,c_140,c_137,c_132,c_126,c_116,c_106,c_96,c_86,c_515,c_511,c_528,c_532,c_536]) ).
cnf(c_1307,negated_conjecture,
( op(e4,e4) = e3
| op(e4,e4) = e2
| sP97
| sP95
| sP93
| sP92
| sP90
| sP89
| sP87
| sP85
| sP84
| sP83
| sP80
| sP79
| sP78
| sP77 ),
inference(renaming,[status(thm)],[c_1306]) ).
cnf(c_1312,plain,
( sP77
| sP78
| sP79
| sP80
| sP83
| sP84
| sP85
| sP89
| sP90
| sP95
| op(e4,e4) = e3
| op(e4,e4) = e2
| sP97
| sP93
| sP92
| sP87 ),
inference(global_subsumption_just,[status(thm)],[c_511,c_1307]) ).
cnf(c_1313,negated_conjecture,
( op(e4,e4) = e3
| op(e4,e4) = e2
| sP97
| sP95
| sP93
| sP92
| sP90
| sP89
| sP87
| sP85
| sP84
| sP83
| sP80
| sP79
| sP78
| sP77 ),
inference(renaming,[status(thm)],[c_1312]) ).
cnf(c_1800,plain,
( ~ sP77
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_125,c_524]) ).
cnf(c_1801,plain,
~ sP77,
inference(forward_subsumption_resolution,[status(thm)],[c_1800,c_58]) ).
cnf(c_1802,plain,
( ~ sP78
| e2 = unit ),
inference(light_normalisation,[status(thm)],[c_123,c_524]) ).
cnf(c_1803,plain,
~ sP78,
inference(forward_subsumption_resolution,[status(thm)],[c_1802,c_57]) ).
cnf(c_1804,plain,
( ~ sP79
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_121,c_524]) ).
cnf(c_1805,plain,
~ sP79,
inference(forward_subsumption_resolution,[status(thm)],[c_1804,c_56]) ).
cnf(c_1806,plain,
( ~ sP80
| e4 = unit ),
inference(light_normalisation,[status(thm)],[c_119,c_524]) ).
cnf(c_1807,plain,
~ sP80,
inference(forward_subsumption_resolution,[status(thm)],[c_1806,c_55]) ).
cnf(c_1808,plain,
( ~ sP83
| e2 = unit ),
inference(light_normalisation,[status(thm)],[c_113,c_526]) ).
cnf(c_1809,plain,
~ sP83,
inference(forward_subsumption_resolution,[status(thm)],[c_1808,c_57]) ).
cnf(c_1810,plain,
( ~ sP84
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_111,c_526]) ).
cnf(c_1811,plain,
~ sP84,
inference(forward_subsumption_resolution,[status(thm)],[c_1810,c_56]) ).
cnf(c_1812,plain,
( ~ sP85
| e4 = unit ),
inference(light_normalisation,[status(thm)],[c_109,c_526]) ).
cnf(c_1813,plain,
~ sP85,
inference(forward_subsumption_resolution,[status(thm)],[c_1812,c_55]) ).
cnf(c_1814,plain,
( ~ sP87
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_105,c_530]) ).
cnf(c_1815,plain,
~ sP87,
inference(forward_subsumption_resolution,[status(thm)],[c_1814,c_58]) ).
cnf(c_1816,plain,
( ~ sP89
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_101,c_530]) ).
cnf(c_1817,plain,
~ sP89,
inference(forward_subsumption_resolution,[status(thm)],[c_1816,c_56]) ).
cnf(c_1818,plain,
( ~ sP90
| e4 = unit ),
inference(light_normalisation,[status(thm)],[c_99,c_530]) ).
cnf(c_1819,plain,
~ sP90,
inference(forward_subsumption_resolution,[status(thm)],[c_1818,c_55]) ).
cnf(c_1820,plain,
( ~ sP92
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_95,c_534]) ).
cnf(c_1821,plain,
~ sP92,
inference(forward_subsumption_resolution,[status(thm)],[c_1820,c_58]) ).
cnf(c_1822,plain,
( ~ sP93
| e2 = unit ),
inference(light_normalisation,[status(thm)],[c_93,c_534]) ).
cnf(c_1823,plain,
~ sP93,
inference(forward_subsumption_resolution,[status(thm)],[c_1822,c_57]) ).
cnf(c_1824,plain,
( ~ sP95
| e4 = unit ),
inference(light_normalisation,[status(thm)],[c_89,c_534]) ).
cnf(c_1825,plain,
~ sP95,
inference(forward_subsumption_resolution,[status(thm)],[c_1824,c_55]) ).
cnf(c_1826,plain,
( ~ sP97
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_85,c_538]) ).
cnf(c_1827,plain,
~ sP97,
inference(forward_subsumption_resolution,[status(thm)],[c_1826,c_58]) ).
cnf(c_1828,plain,
( e3 = unit
| e2 = unit
| sP97
| sP95
| sP93
| sP92
| sP90
| sP89
| sP87
| sP85
| sP84
| sP83
| sP80
| sP79
| sP78
| sP77 ),
inference(light_normalisation,[status(thm)],[c_1313,c_538]) ).
cnf(c_1829,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1828,c_1801,c_1803,c_1805,c_1807,c_1809,c_1811,c_1813,c_1815,c_1817,c_1819,c_1821,c_1823,c_1825,c_1827,c_57,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ALG091+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 22:42:34 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.24/1.11 % SZS status Started for theBenchmark.p
% 2.24/1.11 % SZS status Theorem for theBenchmark.p
% 2.24/1.11
% 2.24/1.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.24/1.11
% 2.24/1.11 ------ iProver source info
% 2.24/1.11
% 2.24/1.11 git: date: 2024-05-02 19:28:25 +0000
% 2.24/1.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.24/1.11 git: non_committed_changes: false
% 2.24/1.11
% 2.24/1.11 ------ Parsing...
% 2.24/1.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.24/1.11
% 2.24/1.11 ------ Preprocessing...
% 2.24/1.11
% 2.24/1.11 % SZS status Theorem for theBenchmark.p
% 2.24/1.11
% 2.24/1.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.24/1.12
% 2.24/1.12
%------------------------------------------------------------------------------