TSTP Solution File: ALG044+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 02:03:24 EDT 2024
% Result : Theorem 1.37s 1.18s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f485)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e0 = op(e3,e3)
& e1 = op(e3,e2)
& e2 = op(e3,e1)
& e3 = op(e3,e0)
& e1 = op(e2,e3)
& e3 = op(e2,e2)
& e0 = op(e2,e1)
& e2 = op(e2,e0)
& e2 = op(e1,e3)
& e0 = op(e1,e2)
& e3 = op(e1,e1)
& e1 = op(e1,e0)
& 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(f8,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
( ( 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(f25,plain,
( ( 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(f26,plain,
( ( 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(f27,plain,
( ( 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(f29,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f45,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f46,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f47,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f49,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f50,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f51,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f52,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f53,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f54,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f55,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f56,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f57,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f58,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f59,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f61,plain,
( ( e3 != op(e3,e3)
& e3 != op(e3,e2)
& e3 != op(e3,e1)
& e3 != op(e3,e0) )
| ~ sP51 ),
inference(nnf_transformation,[],[f59]) ).
fof(f62,plain,
( ( e2 != op(e3,e3)
& e2 != op(e2,e3)
& e2 != op(e1,e3)
& e2 != op(e0,e3) )
| ~ sP50 ),
inference(nnf_transformation,[],[f58]) ).
fof(f63,plain,
( ( e2 != op(e3,e3)
& e2 != op(e3,e2)
& e2 != op(e3,e1)
& e2 != op(e3,e0) )
| ~ sP49 ),
inference(nnf_transformation,[],[f57]) ).
fof(f64,plain,
( ( e1 != op(e3,e3)
& e1 != op(e2,e3)
& e1 != op(e1,e3)
& e1 != op(e0,e3) )
| ~ sP48 ),
inference(nnf_transformation,[],[f56]) ).
fof(f65,plain,
( ( e1 != op(e3,e3)
& e1 != op(e3,e2)
& e1 != op(e3,e1)
& e1 != op(e3,e0) )
| ~ sP47 ),
inference(nnf_transformation,[],[f55]) ).
fof(f66,plain,
( ( e0 != op(e3,e3)
& e0 != op(e2,e3)
& e0 != op(e1,e3)
& e0 != op(e0,e3) )
| ~ sP46 ),
inference(nnf_transformation,[],[f54]) ).
fof(f67,plain,
( ( e0 != op(e3,e3)
& e0 != op(e3,e2)
& e0 != op(e3,e1)
& e0 != op(e3,e0) )
| ~ sP45 ),
inference(nnf_transformation,[],[f53]) ).
fof(f68,plain,
( ( e3 != op(e3,e2)
& e3 != op(e2,e2)
& e3 != op(e1,e2)
& e3 != op(e0,e2) )
| ~ sP44 ),
inference(nnf_transformation,[],[f52]) ).
fof(f69,plain,
( ( e3 != op(e2,e3)
& e3 != op(e2,e2)
& e3 != op(e2,e1)
& e3 != op(e2,e0) )
| ~ sP43 ),
inference(nnf_transformation,[],[f51]) ).
fof(f70,plain,
( ( e2 != op(e3,e2)
& e2 != op(e2,e2)
& e2 != op(e1,e2)
& e2 != op(e0,e2) )
| ~ sP42 ),
inference(nnf_transformation,[],[f50]) ).
fof(f71,plain,
( ( e2 != op(e2,e3)
& e2 != op(e2,e2)
& e2 != op(e2,e1)
& e2 != op(e2,e0) )
| ~ sP41 ),
inference(nnf_transformation,[],[f49]) ).
fof(f72,plain,
( ( e1 != op(e3,e2)
& e1 != op(e2,e2)
& e1 != op(e1,e2)
& e1 != op(e0,e2) )
| ~ sP40 ),
inference(nnf_transformation,[],[f48]) ).
fof(f73,plain,
( ( e1 != op(e2,e3)
& e1 != op(e2,e2)
& e1 != op(e2,e1)
& e1 != op(e2,e0) )
| ~ sP39 ),
inference(nnf_transformation,[],[f47]) ).
fof(f74,plain,
( ( e0 != op(e3,e2)
& e0 != op(e2,e2)
& e0 != op(e1,e2)
& e0 != op(e0,e2) )
| ~ sP38 ),
inference(nnf_transformation,[],[f46]) ).
fof(f75,plain,
( ( e0 != op(e2,e3)
& e0 != op(e2,e2)
& e0 != op(e2,e1)
& e0 != op(e2,e0) )
| ~ sP37 ),
inference(nnf_transformation,[],[f45]) ).
fof(f76,plain,
( ( e3 != op(e3,e1)
& e3 != op(e2,e1)
& e3 != op(e1,e1)
& e3 != op(e0,e1) )
| ~ sP36 ),
inference(nnf_transformation,[],[f44]) ).
fof(f77,plain,
( ( e3 != op(e1,e3)
& e3 != op(e1,e2)
& e3 != op(e1,e1)
& e3 != op(e1,e0) )
| ~ sP35 ),
inference(nnf_transformation,[],[f43]) ).
fof(f78,plain,
( ( e2 != op(e3,e1)
& e2 != op(e2,e1)
& e2 != op(e1,e1)
& e2 != op(e0,e1) )
| ~ sP34 ),
inference(nnf_transformation,[],[f42]) ).
fof(f79,plain,
( ( e2 != op(e1,e3)
& e2 != op(e1,e2)
& e2 != op(e1,e1)
& e2 != op(e1,e0) )
| ~ sP33 ),
inference(nnf_transformation,[],[f41]) ).
fof(f80,plain,
( ( e1 != op(e3,e1)
& e1 != op(e2,e1)
& e1 != op(e1,e1)
& e1 != op(e0,e1) )
| ~ sP32 ),
inference(nnf_transformation,[],[f40]) ).
fof(f81,plain,
( ( e1 != op(e1,e3)
& e1 != op(e1,e2)
& e1 != op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP31 ),
inference(nnf_transformation,[],[f39]) ).
fof(f82,plain,
( ( e0 != op(e3,e1)
& e0 != op(e2,e1)
& e0 != op(e1,e1)
& e0 != op(e0,e1) )
| ~ sP30 ),
inference(nnf_transformation,[],[f38]) ).
fof(f83,plain,
( ( e0 != op(e1,e3)
& e0 != op(e1,e2)
& e0 != op(e1,e1)
& e0 != op(e1,e0) )
| ~ sP29 ),
inference(nnf_transformation,[],[f37]) ).
fof(f84,plain,
( ( e3 != op(e3,e0)
& e3 != op(e2,e0)
& e3 != op(e1,e0)
& e3 != op(e0,e0) )
| ~ sP28 ),
inference(nnf_transformation,[],[f36]) ).
fof(f85,plain,
( ( e3 != op(e0,e3)
& e3 != op(e0,e2)
& e3 != op(e0,e1)
& e3 != op(e0,e0) )
| ~ sP27 ),
inference(nnf_transformation,[],[f35]) ).
fof(f86,plain,
( ( e2 != op(e3,e0)
& e2 != op(e2,e0)
& e2 != op(e1,e0)
& e2 != op(e0,e0) )
| ~ sP26 ),
inference(nnf_transformation,[],[f34]) ).
fof(f87,plain,
( ( e2 != op(e0,e3)
& e2 != op(e0,e2)
& e2 != op(e0,e1)
& e2 != op(e0,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f33]) ).
fof(f88,plain,
( ( e1 != op(e3,e0)
& e1 != op(e2,e0)
& e1 != op(e1,e0)
& e1 != op(e0,e0) )
| ~ sP24 ),
inference(nnf_transformation,[],[f32]) ).
fof(f89,plain,
( ( e1 != op(e0,e3)
& e1 != op(e0,e2)
& e1 != op(e0,e1)
& e1 != op(e0,e0) )
| ~ sP23 ),
inference(nnf_transformation,[],[f31]) ).
fof(f90,plain,
( ( e0 != op(e3,e0)
& e0 != op(e2,e0)
& e0 != op(e1,e0)
& e0 != op(e0,e0) )
| ~ sP22 ),
inference(nnf_transformation,[],[f30]) ).
fof(f91,plain,
( ( e0 != op(e0,e3)
& e0 != op(e0,e2)
& e0 != op(e0,e1)
& e0 != op(e0,e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f29]) ).
fof(f93,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f27]) ).
fof(f94,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f26]) ).
fof(f95,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f25]) ).
fof(f96,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f24]) ).
fof(f97,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f23]) ).
fof(f98,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f22]) ).
fof(f99,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f21]) ).
fof(f100,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f20]) ).
fof(f101,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f19]) ).
fof(f102,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f18]) ).
fof(f103,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f17]) ).
fof(f104,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f16]) ).
fof(f105,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f15]) ).
fof(f106,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f14]) ).
fof(f107,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f13]) ).
fof(f108,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f12]) ).
fof(f109,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f11]) ).
fof(f110,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f10]) ).
fof(f111,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f9]) ).
fof(f112,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f8]) ).
fof(f113,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f114,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f115,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f119,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f120,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f122,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
( e3 != op(e3,e0)
| ~ sP51 ),
inference(cnf_transformation,[],[f61]) ).
fof(f141,plain,
( e2 != op(e1,e3)
| ~ sP50 ),
inference(cnf_transformation,[],[f62]) ).
fof(f145,plain,
( e2 != op(e3,e1)
| ~ sP49 ),
inference(cnf_transformation,[],[f63]) ).
fof(f150,plain,
( e1 != op(e2,e3)
| ~ sP48 ),
inference(cnf_transformation,[],[f64]) ).
fof(f154,plain,
( e1 != op(e3,e2)
| ~ sP47 ),
inference(cnf_transformation,[],[f65]) ).
fof(f159,plain,
( e0 != op(e3,e3)
| ~ sP46 ),
inference(cnf_transformation,[],[f66]) ).
fof(f163,plain,
( e0 != op(e3,e3)
| ~ sP45 ),
inference(cnf_transformation,[],[f67]) ).
fof(f166,plain,
( e3 != op(e2,e2)
| ~ sP44 ),
inference(cnf_transformation,[],[f68]) ).
fof(f170,plain,
( e3 != op(e2,e2)
| ~ sP43 ),
inference(cnf_transformation,[],[f69]) ).
fof(f172,plain,
( e2 != op(e0,e2)
| ~ sP42 ),
inference(cnf_transformation,[],[f70]) ).
fof(f176,plain,
( e2 != op(e2,e0)
| ~ sP41 ),
inference(cnf_transformation,[],[f71]) ).
fof(f183,plain,
( e1 != op(e3,e2)
| ~ sP40 ),
inference(cnf_transformation,[],[f72]) ).
fof(f187,plain,
( e1 != op(e2,e3)
| ~ sP39 ),
inference(cnf_transformation,[],[f73]) ).
fof(f189,plain,
( e0 != op(e1,e2)
| ~ sP38 ),
inference(cnf_transformation,[],[f74]) ).
fof(f193,plain,
( e0 != op(e2,e1)
| ~ sP37 ),
inference(cnf_transformation,[],[f75]) ).
fof(f197,plain,
( e3 != op(e1,e1)
| ~ sP36 ),
inference(cnf_transformation,[],[f76]) ).
fof(f201,plain,
( e3 != op(e1,e1)
| ~ sP35 ),
inference(cnf_transformation,[],[f77]) ).
fof(f207,plain,
( e2 != op(e3,e1)
| ~ sP34 ),
inference(cnf_transformation,[],[f78]) ).
fof(f211,plain,
( e2 != op(e1,e3)
| ~ sP33 ),
inference(cnf_transformation,[],[f79]) ).
fof(f212,plain,
( e1 != op(e0,e1)
| ~ sP32 ),
inference(cnf_transformation,[],[f80]) ).
fof(f216,plain,
( e1 != op(e1,e0)
| ~ sP31 ),
inference(cnf_transformation,[],[f81]) ).
fof(f222,plain,
( e0 != op(e2,e1)
| ~ sP30 ),
inference(cnf_transformation,[],[f82]) ).
fof(f226,plain,
( e0 != op(e1,e2)
| ~ sP29 ),
inference(cnf_transformation,[],[f83]) ).
fof(f231,plain,
( e3 != op(e3,e0)
| ~ sP28 ),
inference(cnf_transformation,[],[f84]) ).
fof(f235,plain,
( e3 != op(e0,e3)
| ~ sP27 ),
inference(cnf_transformation,[],[f85]) ).
fof(f238,plain,
( e2 != op(e2,e0)
| ~ sP26 ),
inference(cnf_transformation,[],[f86]) ).
fof(f242,plain,
( e2 != op(e0,e2)
| ~ sP25 ),
inference(cnf_transformation,[],[f87]) ).
fof(f245,plain,
( e1 != op(e1,e0)
| ~ sP24 ),
inference(cnf_transformation,[],[f88]) ).
fof(f249,plain,
( e1 != op(e0,e1)
| ~ sP23 ),
inference(cnf_transformation,[],[f89]) ).
fof(f252,plain,
( e0 != op(e0,e0)
| ~ sP22 ),
inference(cnf_transformation,[],[f90]) ).
fof(f256,plain,
( e0 != op(e0,e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f91]) ).
fof(f264,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f93]) ).
fof(f269,plain,
( e1 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f94]) ).
fof(f274,plain,
( e2 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f95]) ).
fof(f279,plain,
( e3 != op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f96]) ).
fof(f281,plain,
( e1 != op(e2,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f97]) ).
fof(f287,plain,
( e3 != op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f98]) ).
fof(f288,plain,
( e0 != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f99]) ).
fof(f294,plain,
( e2 != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f100]) ).
fof(f298,plain,
( e2 != op(e1,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f101]) ).
fof(f300,plain,
( e0 != op(e1,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f102]) ).
fof(f307,plain,
( e3 != op(e1,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f103]) ).
fof(f309,plain,
( e1 != op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f104]) ).
fof(f315,plain,
( e3 != op(e0,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f105]) ).
fof(f318,plain,
( e2 != op(e0,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f106]) ).
fof(f321,plain,
( e1 != op(e0,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f107]) ).
fof(f324,plain,
( e0 != op(e0,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f108]) ).
fof(f328,plain,
( e3 = op(e0,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f329,plain,
( e3 = op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f109]) ).
fof(f332,plain,
( e2 = op(e0,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f110]) ).
fof(f336,plain,
( e1 = op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f340,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f341,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f348,plain,
e3 != unit,
inference(definition_unfolding,[],[f115,f135]) ).
fof(f349,plain,
e2 != unit,
inference(definition_unfolding,[],[f114,f135]) ).
fof(f350,plain,
e1 != unit,
inference(definition_unfolding,[],[f113,f135]) ).
fof(f351,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f134,f135]) ).
fof(f352,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f131,f135]) ).
fof(f353,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f128,f135]) ).
fof(f354,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f127,f135]) ).
fof(f355,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f125,f135]) ).
fof(f356,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f123,f135]) ).
fof(f357,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f122,f135]) ).
fof(f358,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f121,f135]) ).
fof(f359,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f120,f135]) ).
fof(f360,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f119,f135,f135,f135]) ).
fof(f361,plain,
( e3 != op(e3,unit)
| ~ sP51 ),
inference(definition_unfolding,[],[f136,f135]) ).
fof(f366,plain,
( op(e3,e3) != unit
| ~ sP46 ),
inference(definition_unfolding,[],[f159,f135]) ).
fof(f370,plain,
( op(e3,e3) != unit
| ~ sP45 ),
inference(definition_unfolding,[],[f163,f135]) ).
fof(f376,plain,
( e2 != op(unit,e2)
| ~ sP42 ),
inference(definition_unfolding,[],[f172,f135]) ).
fof(f377,plain,
( e2 != op(e2,unit)
| ~ sP41 ),
inference(definition_unfolding,[],[f176,f135]) ).
fof(f382,plain,
( op(e1,e2) != unit
| ~ sP38 ),
inference(definition_unfolding,[],[f189,f135]) ).
fof(f386,plain,
( op(e2,e1) != unit
| ~ sP37 ),
inference(definition_unfolding,[],[f193,f135]) ).
fof(f392,plain,
( e1 != op(unit,e1)
| ~ sP32 ),
inference(definition_unfolding,[],[f212,f135]) ).
fof(f393,plain,
( e1 != op(e1,unit)
| ~ sP31 ),
inference(definition_unfolding,[],[f216,f135]) ).
fof(f395,plain,
( op(e2,e1) != unit
| ~ sP30 ),
inference(definition_unfolding,[],[f222,f135]) ).
fof(f399,plain,
( op(e1,e2) != unit
| ~ sP29 ),
inference(definition_unfolding,[],[f226,f135]) ).
fof(f402,plain,
( e3 != op(e3,unit)
| ~ sP28 ),
inference(definition_unfolding,[],[f231,f135]) ).
fof(f406,plain,
( e3 != op(unit,e3)
| ~ sP27 ),
inference(definition_unfolding,[],[f235,f135]) ).
fof(f411,plain,
( e2 != op(e2,unit)
| ~ sP26 ),
inference(definition_unfolding,[],[f238,f135]) ).
fof(f415,plain,
( e2 != op(unit,e2)
| ~ sP25 ),
inference(definition_unfolding,[],[f242,f135]) ).
fof(f420,plain,
( e1 != op(e1,unit)
| ~ sP24 ),
inference(definition_unfolding,[],[f245,f135]) ).
fof(f424,plain,
( e1 != op(unit,e1)
| ~ sP23 ),
inference(definition_unfolding,[],[f249,f135]) ).
fof(f429,plain,
( unit != op(unit,unit)
| ~ sP22 ),
inference(definition_unfolding,[],[f252,f135,f135,f135]) ).
fof(f433,plain,
( unit != op(unit,unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f256,f135,f135,f135]) ).
fof(f435,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(definition_unfolding,[],[f264,f135]) ).
fof(f438,plain,
( e3 != op(e3,unit)
| ~ sP16 ),
inference(definition_unfolding,[],[f279,f135]) ).
fof(f444,plain,
( op(e2,e1) != unit
| ~ sP13 ),
inference(definition_unfolding,[],[f288,f135]) ).
fof(f446,plain,
( e2 != op(e2,unit)
| ~ sP12 ),
inference(definition_unfolding,[],[f294,f135]) ).
fof(f450,plain,
( op(e1,e2) != unit
| ~ sP10 ),
inference(definition_unfolding,[],[f300,f135]) ).
fof(f454,plain,
( e1 != op(e1,unit)
| ~ sP8 ),
inference(definition_unfolding,[],[f309,f135]) ).
fof(f456,plain,
( e3 != op(unit,e3)
| ~ sP7 ),
inference(definition_unfolding,[],[f315,f135]) ).
fof(f461,plain,
( e2 != op(unit,e2)
| ~ sP6 ),
inference(definition_unfolding,[],[f318,f135]) ).
fof(f466,plain,
( e1 != op(unit,e1)
| ~ sP5 ),
inference(definition_unfolding,[],[f321,f135]) ).
fof(f471,plain,
( unit != op(unit,unit)
| ~ sP4 ),
inference(definition_unfolding,[],[f324,f135,f135,f135]) ).
fof(f472,plain,
( e3 = op(unit,unit)
| ~ sP3 ),
inference(definition_unfolding,[],[f328,f135,f135]) ).
fof(f473,plain,
( e2 = op(unit,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f332,f135,f135]) ).
fof(f474,plain,
( e1 = op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f336,f135,f135]) ).
fof(f477,plain,
( op(e1,e1) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f341,f135]) ).
fof(f478,plain,
( unit = op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f340,f135,f135,f135]) ).
cnf(c_52,plain,
e3 != unit,
inference(cnf_transformation,[],[f348]) ).
cnf(c_53,plain,
e2 != unit,
inference(cnf_transformation,[],[f349]) ).
cnf(c_54,plain,
e1 != unit,
inference(cnf_transformation,[],[f350]) ).
cnf(c_55,plain,
op(e3,e3) = unit,
inference(cnf_transformation,[],[f351]) ).
cnf(c_56,plain,
op(e3,e2) = e1,
inference(cnf_transformation,[],[f133]) ).
cnf(c_57,plain,
op(e3,e1) = e2,
inference(cnf_transformation,[],[f132]) ).
cnf(c_58,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f352]) ).
cnf(c_59,plain,
op(e2,e3) = e1,
inference(cnf_transformation,[],[f130]) ).
cnf(c_60,plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],[f129]) ).
cnf(c_61,plain,
op(e2,e1) = unit,
inference(cnf_transformation,[],[f353]) ).
cnf(c_62,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f354]) ).
cnf(c_63,plain,
op(e1,e3) = e2,
inference(cnf_transformation,[],[f126]) ).
cnf(c_64,plain,
op(e1,e2) = unit,
inference(cnf_transformation,[],[f355]) ).
cnf(c_65,plain,
op(e1,e1) = e3,
inference(cnf_transformation,[],[f124]) ).
cnf(c_66,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f356]) ).
cnf(c_67,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f357]) ).
cnf(c_68,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f358]) ).
cnf(c_69,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f359]) ).
cnf(c_70,plain,
op(unit,unit) = unit,
inference(cnf_transformation,[],[f360]) ).
cnf(c_74,plain,
( op(e3,unit) != e3
| ~ sP51 ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_77,plain,
( op(e1,e3) != e2
| ~ sP50 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_81,plain,
( op(e3,e1) != e2
| ~ sP49 ),
inference(cnf_transformation,[],[f145]) ).
cnf(c_84,plain,
( op(e2,e3) != e1
| ~ sP48 ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_88,plain,
( op(e3,e2) != e1
| ~ sP47 ),
inference(cnf_transformation,[],[f154]) ).
cnf(c_91,plain,
( op(e3,e3) != unit
| ~ sP46 ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_95,plain,
( op(e3,e3) != unit
| ~ sP45 ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_100,plain,
( op(e2,e2) != e3
| ~ sP44 ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_104,plain,
( op(e2,e2) != e3
| ~ sP43 ),
inference(cnf_transformation,[],[f170]) ).
cnf(c_110,plain,
( op(unit,e2) != e2
| ~ sP42 ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_114,plain,
( op(e2,unit) != e2
| ~ sP41 ),
inference(cnf_transformation,[],[f377]) ).
cnf(c_115,plain,
( op(e3,e2) != e1
| ~ sP40 ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_119,plain,
( op(e2,e3) != e1
| ~ sP39 ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_125,plain,
( op(e1,e2) != unit
| ~ sP38 ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_129,plain,
( op(e2,e1) != unit
| ~ sP37 ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_133,plain,
( op(e1,e1) != e3
| ~ sP36 ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_137,plain,
( op(e1,e1) != e3
| ~ sP35 ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_139,plain,
( op(e3,e1) != e2
| ~ sP34 ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_143,plain,
( op(e1,e3) != e2
| ~ sP33 ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_150,plain,
( op(unit,e1) != e1
| ~ sP32 ),
inference(cnf_transformation,[],[f392]) ).
cnf(c_154,plain,
( op(e1,unit) != e1
| ~ sP31 ),
inference(cnf_transformation,[],[f393]) ).
cnf(c_156,plain,
( op(e2,e1) != unit
| ~ sP30 ),
inference(cnf_transformation,[],[f395]) ).
cnf(c_160,plain,
( op(e1,e2) != unit
| ~ sP29 ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_163,plain,
( op(e3,unit) != e3
| ~ sP28 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_167,plain,
( op(unit,e3) != e3
| ~ sP27 ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_172,plain,
( op(e2,unit) != e2
| ~ sP26 ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_176,plain,
( op(unit,e2) != e2
| ~ sP25 ),
inference(cnf_transformation,[],[f415]) ).
cnf(c_181,plain,
( op(e1,unit) != e1
| ~ sP24 ),
inference(cnf_transformation,[],[f420]) ).
cnf(c_185,plain,
( op(unit,e1) != e1
| ~ sP23 ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_190,plain,
( op(unit,unit) != unit
| ~ sP22 ),
inference(cnf_transformation,[],[f429]) ).
cnf(c_194,plain,
( op(unit,unit) != unit
| ~ sP21 ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_198,plain,
~ sP20,
inference(cnf_transformation,[],[f483]) ).
cnf(c_202,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_205,plain,
( op(e3,e2) != e1
| ~ sP18 ),
inference(cnf_transformation,[],[f269]) ).
cnf(c_208,plain,
( op(e3,e1) != e2
| ~ sP17 ),
inference(cnf_transformation,[],[f274]) ).
cnf(c_211,plain,
( op(e3,unit) != e3
| ~ sP16 ),
inference(cnf_transformation,[],[f438]) ).
cnf(c_217,plain,
( op(e2,e3) != e1
| ~ sP15 ),
inference(cnf_transformation,[],[f281]) ).
cnf(c_219,plain,
( op(e2,e2) != e3
| ~ sP14 ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_226,plain,
( op(e2,e1) != unit
| ~ sP13 ),
inference(cnf_transformation,[],[f444]) ).
cnf(c_228,plain,
( op(e2,unit) != e2
| ~ sP12 ),
inference(cnf_transformation,[],[f446]) ).
cnf(c_232,plain,
( op(e1,e3) != e2
| ~ sP11 ),
inference(cnf_transformation,[],[f298]) ).
cnf(c_238,plain,
( op(e1,e2) != unit
| ~ sP10 ),
inference(cnf_transformation,[],[f450]) ).
cnf(c_239,plain,
( op(e1,e1) != e3
| ~ sP9 ),
inference(cnf_transformation,[],[f307]) ).
cnf(c_245,plain,
( op(e1,unit) != e1
| ~ sP8 ),
inference(cnf_transformation,[],[f454]) ).
cnf(c_247,plain,
( op(unit,e3) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f456]) ).
cnf(c_252,plain,
( op(unit,e2) != e2
| ~ sP6 ),
inference(cnf_transformation,[],[f461]) ).
cnf(c_257,plain,
( op(unit,e1) != e1
| ~ sP5 ),
inference(cnf_transformation,[],[f466]) ).
cnf(c_262,plain,
( op(unit,unit) != unit
| ~ sP4 ),
inference(cnf_transformation,[],[f471]) ).
cnf(c_265,plain,
( ~ sP3
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f329]) ).
cnf(c_266,plain,
( ~ sP3
| op(unit,unit) = e3 ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_270,plain,
( ~ sP2
| op(unit,unit) = e2 ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_274,plain,
( ~ sP1
| op(unit,unit) = e1 ),
inference(cnf_transformation,[],[f474]) ).
cnf(c_277,plain,
( ~ sP0
| op(e1,e1) = unit ),
inference(cnf_transformation,[],[f477]) ).
cnf(c_278,plain,
( ~ sP0
| op(unit,unit) = unit ),
inference(cnf_transformation,[],[f478]) ).
cnf(c_280,negated_conjecture,
( op(e2,e3) != e3
| op(e2,unit) != e2
| op(e3,unit) != e3
| op(e1,unit) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e1) != e1
| op(unit,unit) != unit
| 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,[],[f485]) ).
cnf(c_282,negated_conjecture,
( op(e2,unit) != e2
| op(e3,unit) != e3
| op(e1,unit) != e1
| op(unit,e2) != e2
| op(unit,e3) != e3
| op(unit,e1) != e1
| op(unit,unit) != unit
| 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,[],[f487]) ).
cnf(c_289,plain,
op(unit,unit) = unit,
inference(global_subsumption_just,[status(thm)],[c_278,c_70]) ).
cnf(c_293,plain,
op(e1,e1) = e3,
inference(global_subsumption_just,[status(thm)],[c_265,c_65]) ).
cnf(c_673,negated_conjecture,
( sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_282,c_198,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_58,c_57,c_56,c_55,c_262,c_257,c_252,c_247,c_245,c_239,c_238,c_232,c_228,c_226,c_219,c_217,c_211,c_208,c_205,c_202,c_194,c_190,c_185,c_181,c_176,c_172,c_167,c_163,c_160,c_156,c_154,c_150,c_143,c_139,c_137,c_133,c_129,c_125,c_119,c_115,c_114,c_110,c_104,c_100,c_95,c_91,c_88,c_84,c_81,c_77,c_74,c_282]) ).
cnf(c_677,negated_conjecture,
( sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_280,c_673]) ).
cnf(c_881,plain,
( ~ sP0
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_277,c_293]) ).
cnf(c_882,plain,
~ sP0,
inference(forward_subsumption_resolution,[status(thm)],[c_881,c_52]) ).
cnf(c_883,plain,
( sP3
| sP2
| sP1 ),
inference(backward_subsumption_resolution,[status(thm)],[c_677,c_882]) ).
cnf(c_887,plain,
( ~ sP1
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_274,c_289]) ).
cnf(c_888,plain,
~ sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_887,c_54]) ).
cnf(c_889,plain,
( sP3
| sP2 ),
inference(backward_subsumption_resolution,[status(thm)],[c_883,c_888]) ).
cnf(c_892,plain,
( ~ sP2
| e2 = unit ),
inference(light_normalisation,[status(thm)],[c_270,c_289]) ).
cnf(c_893,plain,
~ sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_892,c_53]) ).
cnf(c_894,plain,
sP3,
inference(backward_subsumption_resolution,[status(thm)],[c_889,c_893]) ).
cnf(c_895,plain,
( ~ sP3
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_266,c_289]) ).
cnf(c_896,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_895,c_52,c_894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG044+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 2 23:03:36 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.48 Running first-order theorem proving
% 0.19/0.48 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
% 1.37/1.18 % SZS status Started for theBenchmark.p
% 1.37/1.18 % SZS status Theorem for theBenchmark.p
% 1.37/1.18
% 1.37/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.37/1.18
% 1.37/1.18 ------ iProver source info
% 1.37/1.18
% 1.37/1.18 git: date: 2024-05-02 19:28:25 +0000
% 1.37/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.37/1.18 git: non_committed_changes: false
% 1.37/1.18
% 1.37/1.18 ------ Parsing...
% 1.37/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.37/1.18
% 1.37/1.18 ------ Preprocessing...
% 1.37/1.18
% 1.37/1.18 % SZS status Theorem for theBenchmark.p
% 1.37/1.18
% 1.37/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.37/1.19
% 1.37/1.19
%------------------------------------------------------------------------------