TSTP Solution File: ALG022+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG022+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 02:03:14 EDT 2024
% Result : Theorem 2.12s 1.10s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f256)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e3 = inv(e3)
& e1 = inv(e2)
& e2 = inv(e1)
& e0 = inv(e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f9,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(f10,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(f11,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(f12,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(f13,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(f14,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(f15,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(f16,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(f17,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(f18,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(f19,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f30,plain,
( ( e3 != inv(e0)
& e2 != inv(e0)
& e1 != inv(e0)
& e0 != inv(e0) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
( ( e3 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
( ( e3 != inv(e2)
& e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e3 != inv(e2)
& e2 != inv(e2)
& e1 != inv(e2)
& e0 != inv(e2) )
| ~ sP23 ),
inference(nnf_transformation,[],[f32]) ).
fof(f35,plain,
( ( e3 != inv(e1)
& e2 != inv(e1)
& e1 != inv(e1)
& e0 != inv(e1) )
| ~ sP22 ),
inference(nnf_transformation,[],[f31]) ).
fof(f36,plain,
( ( e3 != inv(e0)
& e2 != inv(e0)
& e1 != inv(e0)
& e0 != inv(e0) )
| ~ sP21 ),
inference(nnf_transformation,[],[f30]) ).
fof(f38,plain,
( ( e3 != op(e3,e3)
& e2 != op(e3,e3)
& e1 != op(e3,e3)
& e0 != op(e3,e3) )
| ~ sP19 ),
inference(nnf_transformation,[],[f28]) ).
fof(f39,plain,
( ( e3 != op(e3,e2)
& e2 != op(e3,e2)
& e1 != op(e3,e2)
& e0 != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f27]) ).
fof(f40,plain,
( ( e3 != op(e3,e1)
& e2 != op(e3,e1)
& e1 != op(e3,e1)
& e0 != op(e3,e1) )
| ~ sP17 ),
inference(nnf_transformation,[],[f26]) ).
fof(f41,plain,
( ( e3 != op(e3,e0)
& e2 != op(e3,e0)
& e1 != op(e3,e0)
& e0 != op(e3,e0) )
| ~ sP16 ),
inference(nnf_transformation,[],[f25]) ).
fof(f42,plain,
( ( e3 != op(e2,e3)
& e2 != op(e2,e3)
& e1 != op(e2,e3)
& e0 != op(e2,e3) )
| ~ sP15 ),
inference(nnf_transformation,[],[f24]) ).
fof(f43,plain,
( ( e3 != op(e2,e2)
& e2 != op(e2,e2)
& e1 != op(e2,e2)
& e0 != op(e2,e2) )
| ~ sP14 ),
inference(nnf_transformation,[],[f23]) ).
fof(f44,plain,
( ( e3 != op(e2,e1)
& e2 != op(e2,e1)
& e1 != op(e2,e1)
& e0 != op(e2,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f22]) ).
fof(f45,plain,
( ( e3 != op(e2,e0)
& e2 != op(e2,e0)
& e1 != op(e2,e0)
& e0 != op(e2,e0) )
| ~ sP12 ),
inference(nnf_transformation,[],[f21]) ).
fof(f46,plain,
( ( e3 != op(e1,e3)
& e2 != op(e1,e3)
& e1 != op(e1,e3)
& e0 != op(e1,e3) )
| ~ sP11 ),
inference(nnf_transformation,[],[f20]) ).
fof(f47,plain,
( ( e3 != op(e1,e2)
& e2 != op(e1,e2)
& e1 != op(e1,e2)
& e0 != op(e1,e2) )
| ~ sP10 ),
inference(nnf_transformation,[],[f19]) ).
fof(f48,plain,
( ( e3 != op(e1,e1)
& e2 != op(e1,e1)
& e1 != op(e1,e1)
& e0 != op(e1,e1) )
| ~ sP9 ),
inference(nnf_transformation,[],[f18]) ).
fof(f49,plain,
( ( e3 != op(e1,e0)
& e2 != op(e1,e0)
& e1 != op(e1,e0)
& e0 != op(e1,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f17]) ).
fof(f50,plain,
( ( e3 != op(e0,e3)
& e2 != op(e0,e3)
& e1 != op(e0,e3)
& e0 != op(e0,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f16]) ).
fof(f51,plain,
( ( e3 != op(e0,e2)
& e2 != op(e0,e2)
& e1 != op(e0,e2)
& e0 != op(e0,e2) )
| ~ sP6 ),
inference(nnf_transformation,[],[f15]) ).
fof(f52,plain,
( ( e3 != op(e0,e1)
& e2 != op(e0,e1)
& e1 != op(e0,e1)
& e0 != op(e0,e1) )
| ~ sP5 ),
inference(nnf_transformation,[],[f14]) ).
fof(f53,plain,
( ( e3 != op(e0,e0)
& e2 != op(e0,e0)
& e1 != op(e0,e0)
& e0 != op(e0,e0) )
| ~ sP4 ),
inference(nnf_transformation,[],[f13]) ).
fof(f54,plain,
( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& e3 = op(e0,e0) )
| ~ sP3 ),
inference(nnf_transformation,[],[f12]) ).
fof(f55,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& e2 = op(e0,e0) )
| ~ sP2 ),
inference(nnf_transformation,[],[f11]) ).
fof(f56,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& e1 = op(e0,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f10]) ).
fof(f57,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f9]) ).
fof(f58,plain,
e0 != e1,
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
e0 != e2,
inference(cnf_transformation,[],[f1]) ).
fof(f60,plain,
e0 != e3,
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f65,plain,
e1 = op(e0,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f66,plain,
e2 = op(e0,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f67,plain,
e3 = op(e0,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
e1 = op(e1,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
e3 = op(e1,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f70,plain,
e0 = op(e1,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f71,plain,
e2 = op(e1,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f72,plain,
e2 = op(e2,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
e0 = op(e2,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
e3 = op(e2,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
e1 = op(e2,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
e3 = op(e3,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
e2 = op(e3,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
e1 = op(e3,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
e0 = unit,
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
e0 = inv(e0),
inference(cnf_transformation,[],[f4]) ).
fof(f82,plain,
e2 = inv(e1),
inference(cnf_transformation,[],[f4]) ).
fof(f83,plain,
e1 = inv(e2),
inference(cnf_transformation,[],[f4]) ).
fof(f84,plain,
e3 = inv(e3),
inference(cnf_transformation,[],[f4]) ).
fof(f86,plain,
( e1 != inv(e2)
| ~ sP23 ),
inference(cnf_transformation,[],[f34]) ).
fof(f91,plain,
( e2 != inv(e1)
| ~ sP22 ),
inference(cnf_transformation,[],[f35]) ).
fof(f93,plain,
( e0 != inv(e0)
| ~ sP21 ),
inference(cnf_transformation,[],[f36]) ).
fof(f101,plain,
( e0 != op(e3,e3)
| ~ sP19 ),
inference(cnf_transformation,[],[f38]) ).
fof(f106,plain,
( e1 != op(e3,e2)
| ~ sP18 ),
inference(cnf_transformation,[],[f39]) ).
fof(f111,plain,
( e2 != op(e3,e1)
| ~ sP17 ),
inference(cnf_transformation,[],[f40]) ).
fof(f116,plain,
( e3 != op(e3,e0)
| ~ sP16 ),
inference(cnf_transformation,[],[f41]) ).
fof(f118,plain,
( e1 != op(e2,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f42]) ).
fof(f124,plain,
( e3 != op(e2,e2)
| ~ sP14 ),
inference(cnf_transformation,[],[f43]) ).
fof(f125,plain,
( e0 != op(e2,e1)
| ~ sP13 ),
inference(cnf_transformation,[],[f44]) ).
fof(f131,plain,
( e2 != op(e2,e0)
| ~ sP12 ),
inference(cnf_transformation,[],[f45]) ).
fof(f135,plain,
( e2 != op(e1,e3)
| ~ sP11 ),
inference(cnf_transformation,[],[f46]) ).
fof(f137,plain,
( e0 != op(e1,e2)
| ~ sP10 ),
inference(cnf_transformation,[],[f47]) ).
fof(f144,plain,
( e3 != op(e1,e1)
| ~ sP9 ),
inference(cnf_transformation,[],[f48]) ).
fof(f146,plain,
( e1 != op(e1,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f49]) ).
fof(f152,plain,
( e3 != op(e0,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f50]) ).
fof(f155,plain,
( e2 != op(e0,e2)
| ~ sP6 ),
inference(cnf_transformation,[],[f51]) ).
fof(f158,plain,
( e1 != op(e0,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f52]) ).
fof(f161,plain,
( e0 != op(e0,e0)
| ~ sP4 ),
inference(cnf_transformation,[],[f53]) ).
fof(f165,plain,
( e3 = op(e0,e0)
| ~ sP3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f166,plain,
( e3 = op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f167,plain,
( e3 = op(e2,e2)
| ~ sP3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f169,plain,
( e2 = op(e0,e0)
| ~ sP2 ),
inference(cnf_transformation,[],[f55]) ).
fof(f173,plain,
( e1 = op(e0,e0)
| ~ sP1 ),
inference(cnf_transformation,[],[f56]) ).
fof(f177,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f178,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f180,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f185,plain,
e3 != unit,
inference(definition_unfolding,[],[f60,f80]) ).
fof(f186,plain,
e2 != unit,
inference(definition_unfolding,[],[f59,f80]) ).
fof(f187,plain,
e1 != unit,
inference(definition_unfolding,[],[f58,f80]) ).
fof(f188,plain,
op(e3,e3) = unit,
inference(definition_unfolding,[],[f79,f80]) ).
fof(f189,plain,
e3 = op(e3,unit),
inference(definition_unfolding,[],[f76,f80]) ).
fof(f190,plain,
op(e2,e1) = unit,
inference(definition_unfolding,[],[f73,f80]) ).
fof(f191,plain,
e2 = op(e2,unit),
inference(definition_unfolding,[],[f72,f80]) ).
fof(f192,plain,
op(e1,e2) = unit,
inference(definition_unfolding,[],[f70,f80]) ).
fof(f193,plain,
e1 = op(e1,unit),
inference(definition_unfolding,[],[f68,f80]) ).
fof(f194,plain,
e3 = op(unit,e3),
inference(definition_unfolding,[],[f67,f80]) ).
fof(f195,plain,
e2 = op(unit,e2),
inference(definition_unfolding,[],[f66,f80]) ).
fof(f196,plain,
e1 = op(unit,e1),
inference(definition_unfolding,[],[f65,f80]) ).
fof(f197,plain,
unit = op(unit,unit),
inference(definition_unfolding,[],[f64,f80,f80,f80]) ).
fof(f198,plain,
unit = inv(unit),
inference(definition_unfolding,[],[f81,f80,f80]) ).
fof(f204,plain,
( unit != inv(unit)
| ~ sP21 ),
inference(definition_unfolding,[],[f93,f80,f80]) ).
fof(f206,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(definition_unfolding,[],[f101,f80]) ).
fof(f209,plain,
( e3 != op(e3,unit)
| ~ sP16 ),
inference(definition_unfolding,[],[f116,f80]) ).
fof(f215,plain,
( op(e2,e1) != unit
| ~ sP13 ),
inference(definition_unfolding,[],[f125,f80]) ).
fof(f217,plain,
( e2 != op(e2,unit)
| ~ sP12 ),
inference(definition_unfolding,[],[f131,f80]) ).
fof(f221,plain,
( op(e1,e2) != unit
| ~ sP10 ),
inference(definition_unfolding,[],[f137,f80]) ).
fof(f225,plain,
( e1 != op(e1,unit)
| ~ sP8 ),
inference(definition_unfolding,[],[f146,f80]) ).
fof(f227,plain,
( e3 != op(unit,e3)
| ~ sP7 ),
inference(definition_unfolding,[],[f152,f80]) ).
fof(f232,plain,
( e2 != op(unit,e2)
| ~ sP6 ),
inference(definition_unfolding,[],[f155,f80]) ).
fof(f237,plain,
( e1 != op(unit,e1)
| ~ sP5 ),
inference(definition_unfolding,[],[f158,f80]) ).
fof(f242,plain,
( unit != op(unit,unit)
| ~ sP4 ),
inference(definition_unfolding,[],[f161,f80,f80,f80]) ).
fof(f243,plain,
( e3 = op(unit,unit)
| ~ sP3 ),
inference(definition_unfolding,[],[f165,f80,f80]) ).
fof(f244,plain,
( e2 = op(unit,unit)
| ~ sP2 ),
inference(definition_unfolding,[],[f169,f80,f80]) ).
fof(f245,plain,
( e1 = op(unit,unit)
| ~ sP1 ),
inference(definition_unfolding,[],[f173,f80,f80]) ).
fof(f246,plain,
( op(e3,e3) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f180,f80]) ).
fof(f248,plain,
( op(e1,e1) = unit
| ~ sP0 ),
inference(definition_unfolding,[],[f178,f80]) ).
fof(f249,plain,
( unit = op(unit,unit)
| ~ sP0 ),
inference(definition_unfolding,[],[f177,f80,f80,f80]) ).
cnf(c_52,plain,
e3 != unit,
inference(cnf_transformation,[],[f185]) ).
cnf(c_53,plain,
e2 != unit,
inference(cnf_transformation,[],[f186]) ).
cnf(c_54,plain,
e1 != unit,
inference(cnf_transformation,[],[f187]) ).
cnf(c_55,plain,
op(e3,e3) = unit,
inference(cnf_transformation,[],[f188]) ).
cnf(c_56,plain,
op(e3,e2) = e1,
inference(cnf_transformation,[],[f78]) ).
cnf(c_57,plain,
op(e3,e1) = e2,
inference(cnf_transformation,[],[f77]) ).
cnf(c_58,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f189]) ).
cnf(c_59,plain,
op(e2,e3) = e1,
inference(cnf_transformation,[],[f75]) ).
cnf(c_60,plain,
op(e2,e2) = e3,
inference(cnf_transformation,[],[f74]) ).
cnf(c_61,plain,
op(e2,e1) = unit,
inference(cnf_transformation,[],[f190]) ).
cnf(c_62,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f191]) ).
cnf(c_63,plain,
op(e1,e3) = e2,
inference(cnf_transformation,[],[f71]) ).
cnf(c_64,plain,
op(e1,e2) = unit,
inference(cnf_transformation,[],[f192]) ).
cnf(c_65,plain,
op(e1,e1) = e3,
inference(cnf_transformation,[],[f69]) ).
cnf(c_66,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f193]) ).
cnf(c_67,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f194]) ).
cnf(c_68,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f195]) ).
cnf(c_69,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f196]) ).
cnf(c_70,plain,
op(unit,unit) = unit,
inference(cnf_transformation,[],[f197]) ).
cnf(c_71,plain,
inv(e3) = e3,
inference(cnf_transformation,[],[f84]) ).
cnf(c_72,plain,
inv(e2) = e1,
inference(cnf_transformation,[],[f83]) ).
cnf(c_73,plain,
inv(e1) = e2,
inference(cnf_transformation,[],[f82]) ).
cnf(c_74,plain,
inv(unit) = unit,
inference(cnf_transformation,[],[f198]) ).
cnf(c_77,plain,
( inv(e2) != e1
| ~ sP23 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_80,plain,
( inv(e1) != e2
| ~ sP22 ),
inference(cnf_transformation,[],[f91]) ).
cnf(c_86,plain,
( inv(unit) != unit
| ~ sP21 ),
inference(cnf_transformation,[],[f204]) ).
cnf(c_90,plain,
~ sP20,
inference(cnf_transformation,[],[f254]) ).
cnf(c_94,plain,
( op(e3,e3) != unit
| ~ sP19 ),
inference(cnf_transformation,[],[f206]) ).
cnf(c_97,plain,
( op(e3,e2) != e1
| ~ sP18 ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_100,plain,
( op(e3,e1) != e2
| ~ sP17 ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_103,plain,
( op(e3,unit) != e3
| ~ sP16 ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_109,plain,
( op(e2,e3) != e1
| ~ sP15 ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_111,plain,
( op(e2,e2) != e3
| ~ sP14 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_118,plain,
( op(e2,e1) != unit
| ~ sP13 ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_120,plain,
( op(e2,unit) != e2
| ~ sP12 ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_124,plain,
( op(e1,e3) != e2
| ~ sP11 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_130,plain,
( op(e1,e2) != unit
| ~ sP10 ),
inference(cnf_transformation,[],[f221]) ).
cnf(c_131,plain,
( op(e1,e1) != e3
| ~ sP9 ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_137,plain,
( op(e1,unit) != e1
| ~ sP8 ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_139,plain,
( op(unit,e3) != e3
| ~ sP7 ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_144,plain,
( op(unit,e2) != e2
| ~ sP6 ),
inference(cnf_transformation,[],[f232]) ).
cnf(c_149,plain,
( op(unit,e1) != e1
| ~ sP5 ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_154,plain,
( op(unit,unit) != unit
| ~ sP4 ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_156,plain,
( ~ sP3
| op(e2,e2) = e3 ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_157,plain,
( ~ sP3
| op(e1,e1) = e3 ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_158,plain,
( ~ sP3
| op(unit,unit) = e3 ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_162,plain,
( ~ sP2
| op(unit,unit) = e2 ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_166,plain,
( ~ sP1
| op(unit,unit) = e1 ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_167,plain,
( ~ sP0
| op(e3,e3) = unit ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_169,plain,
( ~ sP0
| op(e1,e1) = unit ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_170,plain,
( ~ sP0
| op(unit,unit) = unit ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_171,negated_conjecture,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| op(inv(e1),e1) != unit
| op(inv(unit),unit) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(e1,inv(e1)) != unit
| op(unit,inv(unit)) != unit
| 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
| inv(e3) != e3
| 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,[],[f255]) ).
cnf(c_172,negated_conjecture,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| op(inv(e1),e1) != unit
| op(inv(unit),unit) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(e1,inv(e1)) != unit
| op(unit,inv(unit)) != unit
| 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
| inv(e3) != e2
| 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,[],[f256]) ).
cnf(c_174,negated_conjecture,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| op(inv(e1),e1) != unit
| op(inv(unit),unit) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(e1,inv(e1)) != unit
| op(unit,inv(unit)) != unit
| 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
| inv(e3) != unit
| 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,[],[f258]) ).
cnf(c_181,plain,
op(unit,unit) = unit,
inference(global_subsumption_just,[status(thm)],[c_170,c_70]) ).
cnf(c_183,plain,
op(e3,e3) = unit,
inference(global_subsumption_just,[status(thm)],[c_167,c_55]) ).
cnf(c_185,plain,
op(e1,e1) = e3,
inference(global_subsumption_just,[status(thm)],[c_157,c_65]) ).
cnf(c_187,plain,
op(e2,e2) = e3,
inference(global_subsumption_just,[status(thm)],[c_156,c_60]) ).
cnf(c_341,negated_conjecture,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| op(inv(e1),e1) != unit
| op(inv(unit),unit) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(e1,inv(e1)) != unit
| op(unit,inv(unit)) != unit
| sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_174,c_90,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_58,c_57,c_56,c_55,c_86,c_80,c_77,c_154,c_149,c_144,c_139,c_137,c_131,c_130,c_124,c_120,c_118,c_111,c_109,c_103,c_100,c_97,c_94,c_171]) ).
cnf(c_345,negated_conjecture,
( op(op(e2,e2),e2) != op(e2,op(e2,e2))
| op(op(e2,e2),e3) != op(e2,op(e2,e3))
| op(op(e2,e2),e1) != op(e2,op(e2,e1))
| op(op(e2,e2),unit) != op(e2,op(e2,unit))
| op(op(e2,e3),e2) != op(e2,op(e3,e2))
| op(op(e2,e3),e3) != op(e2,op(e3,e3))
| op(op(e2,e3),e1) != op(e2,op(e3,e1))
| op(op(e2,e3),unit) != op(e2,op(e3,unit))
| op(op(e2,e1),e2) != op(e2,op(e1,e2))
| op(op(e2,e1),e3) != op(e2,op(e1,e3))
| op(op(e2,e1),e1) != op(e2,op(e1,e1))
| op(op(e2,e1),unit) != op(e2,op(e1,unit))
| op(op(e2,unit),e2) != op(e2,op(unit,e2))
| op(op(e2,unit),e3) != op(e2,op(unit,e3))
| op(op(e2,unit),e1) != op(e2,op(unit,e1))
| op(op(e2,unit),unit) != op(e2,op(unit,unit))
| op(op(e3,e2),e2) != op(e3,op(e2,e2))
| op(op(e3,e2),e3) != op(e3,op(e2,e3))
| op(op(e3,e2),e1) != op(e3,op(e2,e1))
| op(op(e3,e2),unit) != op(e3,op(e2,unit))
| op(op(e3,e3),e2) != op(e3,op(e3,e2))
| op(op(e3,e3),e3) != op(e3,op(e3,e3))
| op(op(e3,e3),e1) != op(e3,op(e3,e1))
| op(op(e3,e3),unit) != op(e3,op(e3,unit))
| op(op(e3,e1),e2) != op(e3,op(e1,e2))
| op(op(e3,e1),e3) != op(e3,op(e1,e3))
| op(op(e3,e1),e1) != op(e3,op(e1,e1))
| op(op(e3,e1),unit) != op(e3,op(e1,unit))
| op(op(e3,unit),e2) != op(e3,op(unit,e2))
| op(op(e3,unit),e3) != op(e3,op(unit,e3))
| op(op(e3,unit),e1) != op(e3,op(unit,e1))
| op(op(e3,unit),unit) != op(e3,op(unit,unit))
| op(op(e1,e2),e2) != op(e1,op(e2,e2))
| op(op(e1,e2),e3) != op(e1,op(e2,e3))
| op(op(e1,e2),e1) != op(e1,op(e2,e1))
| op(op(e1,e2),unit) != op(e1,op(e2,unit))
| op(op(e1,e3),e2) != op(e1,op(e3,e2))
| op(op(e1,e3),e3) != op(e1,op(e3,e3))
| op(op(e1,e3),e1) != op(e1,op(e3,e1))
| op(op(e1,e3),unit) != op(e1,op(e3,unit))
| op(op(e1,e1),e2) != op(e1,op(e1,e2))
| op(op(e1,e1),e3) != op(e1,op(e1,e3))
| op(op(e1,e1),e1) != op(e1,op(e1,e1))
| op(op(e1,e1),unit) != op(e1,op(e1,unit))
| op(op(e1,unit),e2) != op(e1,op(unit,e2))
| op(op(e1,unit),e3) != op(e1,op(unit,e3))
| op(op(e1,unit),e1) != op(e1,op(unit,e1))
| op(op(e1,unit),unit) != op(e1,op(unit,unit))
| op(op(unit,e2),e2) != op(unit,op(e2,e2))
| op(op(unit,e2),e3) != op(unit,op(e2,e3))
| op(op(unit,e2),e1) != op(unit,op(e2,e1))
| op(op(unit,e2),unit) != op(unit,op(e2,unit))
| op(op(unit,e3),e2) != op(unit,op(e3,e2))
| op(op(unit,e3),e3) != op(unit,op(e3,e3))
| op(op(unit,e3),e1) != op(unit,op(e3,e1))
| op(op(unit,e3),unit) != op(unit,op(e3,unit))
| op(op(unit,e1),e2) != op(unit,op(e1,e2))
| op(op(unit,e1),e3) != op(unit,op(e1,e3))
| op(op(unit,e1),e1) != op(unit,op(e1,e1))
| op(op(unit,e1),unit) != op(unit,op(e1,unit))
| op(op(unit,unit),e2) != op(unit,op(unit,e2))
| op(op(unit,unit),e3) != op(unit,op(unit,e3))
| op(op(unit,unit),e1) != op(unit,op(unit,e1))
| op(op(unit,unit),unit) != op(unit,op(unit,unit))
| op(inv(e2),e2) != unit
| op(inv(e3),e3) != unit
| op(inv(e1),e1) != unit
| op(inv(unit),unit) != unit
| op(e2,inv(e2)) != unit
| op(e3,inv(e3)) != unit
| op(e1,inv(e1)) != unit
| op(unit,inv(unit)) != unit
| sP3
| sP2
| sP1
| sP0 ),
inference(global_subsumption_just,[status(thm)],[c_172,c_341]) ).
cnf(c_641,plain,
( ~ sP0
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_169,c_185]) ).
cnf(c_642,plain,
~ sP0,
inference(forward_subsumption_resolution,[status(thm)],[c_641,c_52]) ).
cnf(c_643,plain,
( ~ sP1
| e1 = unit ),
inference(light_normalisation,[status(thm)],[c_166,c_181]) ).
cnf(c_644,plain,
~ sP1,
inference(forward_subsumption_resolution,[status(thm)],[c_643,c_54]) ).
cnf(c_645,plain,
( ~ sP2
| e2 = unit ),
inference(light_normalisation,[status(thm)],[c_162,c_181]) ).
cnf(c_646,plain,
~ sP2,
inference(forward_subsumption_resolution,[status(thm)],[c_645,c_53]) ).
cnf(c_647,plain,
( ~ sP3
| e3 = unit ),
inference(light_normalisation,[status(thm)],[c_158,c_181]) ).
cnf(c_648,plain,
~ sP3,
inference(forward_subsumption_resolution,[status(thm)],[c_647,c_52]) ).
cnf(c_649,plain,
( op(e2,e2) != op(e2,e2)
| op(e2,e3) != op(e2,e3)
| op(e2,e1) != op(e2,e1)
| op(e2,unit) != op(e2,unit)
| op(e3,e2) != op(e3,e2)
| op(e3,e3) != op(e3,e3)
| op(e3,e1) != op(e3,e1)
| op(e3,unit) != op(e3,unit)
| op(e1,e2) != op(e1,e2)
| op(e1,e3) != op(e1,e3)
| op(e1,e1) != op(e1,e1)
| op(e1,unit) != op(e1,unit)
| op(unit,e2) != op(unit,e2)
| op(unit,e3) != op(unit,e3)
| op(unit,e1) != op(unit,e1)
| op(unit,unit) != op(unit,unit)
| e2 != e2
| e3 != e3
| e1 != e1
| unit != unit
| sP3
| sP2
| sP1
| sP0 ),
inference(light_normalisation,[status(thm)],[c_345,c_183,c_56,c_57,c_58,c_59,c_187,c_61,c_62,c_63,c_64,c_185,c_66,c_67,c_68,c_69,c_181,c_71,c_72,c_73,c_74]) ).
cnf(c_650,plain,
( sP3
| sP2
| sP1
| sP0 ),
inference(equality_resolution_simp,[status(thm)],[c_649]) ).
cnf(c_651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_650,c_642,c_644,c_646,c_648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG022+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.11 % 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 22:40:04 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.12/1.10 % SZS status Started for theBenchmark.p
% 2.12/1.10 % SZS status Theorem for theBenchmark.p
% 2.12/1.10
% 2.12/1.10 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.12/1.10
% 2.12/1.10 ------ iProver source info
% 2.12/1.10
% 2.12/1.10 git: date: 2024-05-02 19:28:25 +0000
% 2.12/1.10 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.12/1.10 git: non_committed_changes: false
% 2.12/1.10
% 2.12/1.10 ------ Parsing...
% 2.12/1.10 ------ Clausification by vclausify_rel & Parsing by iProver...
% 2.12/1.10
% 2.12/1.10 ------ Preprocessing...
% 2.12/1.10
% 2.12/1.10 % SZS status Theorem for theBenchmark.p
% 2.12/1.10
% 2.12/1.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.12/1.11
% 2.12/1.11
%------------------------------------------------------------------------------