TSTP Solution File: ALG014+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG014+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 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 : Mon May 20 18:21:44 EDT 2024
% Result : Theorem 0.12s 0.37s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 243 ( 164 unt; 0 def)
% Number of atoms : 785 ( 747 equ)
% Maximal formula atoms : 64 ( 3 avg)
% Number of connectives : 766 ( 224 ~; 250 |; 276 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f248,plain,
$false,
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f31,f42,f41,f40,f39,f38,f37,f36,f35,f44,f53,f52,f51,f57,f69,f226,f68,f67,f66,f65,f64,f63,f62,f61,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f209,f227,f208,f207,f206,f205,f204,f228,f203,f202,f201,f200,f199,f229,f198,f197,f196,f195,f194,f230,f224,f223,f222,f221,f219,f218,f217,f216,f214,f213,f212,f211,f43,f45,f46,f47,f48,f49,f50,f231,f232,f233,f234,f54,f55,f56,f58,f59,f60,f237,f236,f238,f239,f240,f241,f242,f243,f245,f247,f32]) ).
fof(f32,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,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(f247,plain,
~ sP1,
inference(subsumption_resolution,[],[f246,f45]) ).
fof(f246,plain,
( e0 = e1
| ~ sP1 ),
inference(forward_demodulation,[],[f27,f236]) ).
fof(f245,plain,
~ sP2,
inference(subsumption_resolution,[],[f244,f46]) ).
fof(f244,plain,
( e0 = e2
| ~ sP2 ),
inference(forward_demodulation,[],[f23,f236]) ).
fof(f243,plain,
e3 = op(e3,e0),
inference(forward_demodulation,[],[f68,f43]) ).
fof(f242,plain,
e3 = op(e0,e3),
inference(forward_demodulation,[],[f67,f43]) ).
fof(f241,plain,
e2 = op(e2,e0),
inference(forward_demodulation,[],[f66,f43]) ).
fof(f240,plain,
e2 = op(e0,e2),
inference(forward_demodulation,[],[f65,f43]) ).
fof(f239,plain,
e1 = op(e1,e0),
inference(forward_demodulation,[],[f64,f43]) ).
fof(f238,plain,
e1 = op(e0,e1),
inference(forward_demodulation,[],[f63,f43]) ).
fof(f236,plain,
e0 = op(e0,e0),
inference(forward_demodulation,[],[f61,f43]) ).
fof(f237,plain,
e0 = op(e0,e0),
inference(forward_demodulation,[],[f62,f43]) ).
fof(f60,plain,
e3 = inv(inv(e3)),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e3 = inv(inv(e3))
& e2 = inv(inv(e2))
& e1 = inv(inv(e1))
& e0 = inv(inv(e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f59,plain,
e2 = inv(inv(e2)),
inference(cnf_transformation,[],[f7]) ).
fof(f58,plain,
e1 = inv(inv(e1)),
inference(cnf_transformation,[],[f7]) ).
fof(f56,plain,
inv(e2) != inv(e3),
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( inv(e2) != inv(e3)
& inv(e1) != inv(e3)
& inv(e1) != inv(e2)
& inv(e0) != inv(e3)
& inv(e0) != inv(e2)
& inv(e0) != inv(e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f55,plain,
inv(e1) != inv(e3),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
inv(e1) != inv(e2),
inference(cnf_transformation,[],[f9]) ).
fof(f234,plain,
e0 != inv(e3),
inference(forward_demodulation,[],[f53,f231]) ).
fof(f233,plain,
e0 != inv(e2),
inference(forward_demodulation,[],[f52,f231]) ).
fof(f232,plain,
e0 != inv(e1),
inference(forward_demodulation,[],[f51,f231]) ).
fof(f231,plain,
e0 = inv(e0),
inference(forward_demodulation,[],[f44,f43]) ).
fof(f50,plain,
e2 != e3,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f49,plain,
e1 != e3,
inference(cnf_transformation,[],[f11]) ).
fof(f48,plain,
e1 != e2,
inference(cnf_transformation,[],[f11]) ).
fof(f47,plain,
e0 != e3,
inference(cnf_transformation,[],[f11]) ).
fof(f46,plain,
e0 != e2,
inference(cnf_transformation,[],[f11]) ).
fof(f45,plain,
e0 != e1,
inference(cnf_transformation,[],[f11]) ).
fof(f43,plain,
e0 = unit,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
e0 = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f211,plain,
( e0 = inv(e1)
| e1 != inv(e0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( ( e3 = inv(e3)
| e3 != inv(e3) )
& ( e3 = inv(e2)
| e2 != inv(e3) )
& ( e3 = inv(e1)
| e1 != inv(e3) )
& ( e3 = inv(e0)
| e0 != inv(e3) )
& ( e2 = inv(e3)
| e3 != inv(e2) )
& ( e2 = inv(e2)
| e2 != inv(e2) )
& ( e2 = inv(e1)
| e1 != inv(e2) )
& ( e2 = inv(e0)
| e0 != inv(e2) )
& ( e1 = inv(e3)
| e3 != inv(e1) )
& ( e1 = inv(e2)
| e2 != inv(e1) )
& ( e1 = inv(e1)
| e1 != inv(e1) )
& ( e1 = inv(e0)
| e0 != inv(e1) )
& ( e0 = inv(e3)
| e3 != inv(e0) )
& ( e0 = inv(e2)
| e2 != inv(e0) )
& ( e0 = inv(e1)
| e1 != inv(e0) )
& ( e0 = inv(e0)
| e0 != inv(e0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
( ( e3 = inv(e3)
=> e3 = inv(e3) )
& ( e2 = inv(e3)
=> e3 = inv(e2) )
& ( e1 = inv(e3)
=> e3 = inv(e1) )
& ( e0 = inv(e3)
=> e3 = inv(e0) )
& ( e3 = inv(e2)
=> e2 = inv(e3) )
& ( e2 = inv(e2)
=> e2 = inv(e2) )
& ( e1 = inv(e2)
=> e2 = inv(e1) )
& ( e0 = inv(e2)
=> e2 = inv(e0) )
& ( e3 = inv(e1)
=> e1 = inv(e3) )
& ( e2 = inv(e1)
=> e1 = inv(e2) )
& ( e1 = inv(e1)
=> e1 = inv(e1) )
& ( e0 = inv(e1)
=> e1 = inv(e0) )
& ( e3 = inv(e0)
=> e0 = inv(e3) )
& ( e2 = inv(e0)
=> e0 = inv(e2) )
& ( e1 = inv(e0)
=> e0 = inv(e1) )
& ( e0 = inv(e0)
=> e0 = inv(e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f212,plain,
( e0 = inv(e2)
| e2 != inv(e0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f213,plain,
( e0 = inv(e3)
| e3 != inv(e0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f214,plain,
( e1 = inv(e0)
| e0 != inv(e1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f216,plain,
( e1 = inv(e2)
| e2 != inv(e1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f217,plain,
( e1 = inv(e3)
| e3 != inv(e1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f218,plain,
( e2 = inv(e0)
| e0 != inv(e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f219,plain,
( e2 = inv(e1)
| e1 != inv(e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f221,plain,
( e2 = inv(e3)
| e3 != inv(e2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f222,plain,
( e3 = inv(e0)
| e0 != inv(e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f223,plain,
( e3 = inv(e1)
| e1 != inv(e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f224,plain,
( e3 = inv(e2)
| e2 != inv(e3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f230,plain,
( op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f32,f31,f42,f41,f40,f39,f38,f37,f36,f35,f43,f44,f50,f49,f48,f47,f46,f45,f56,f55,f54,f53,f52,f51,f60,f59,f58,f57,f69,f226,f68,f67,f66,f65,f64,f63,f62,f61,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f209,f227,f208,f207,f206,f205,f204,f228,f203,f202,f201,f200,f199,f229,f198,f197,f196,f195,f194]) ).
fof(f194,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f195,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f196,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f197,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f198,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f229,plain,
( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f32,f31,f42,f41,f40,f39,f38,f37,f36,f35,f43,f44,f50,f49,f48,f47,f46,f45,f56,f55,f54,f53,f52,f51,f60,f59,f58,f57,f69,f226,f68,f67,f66,f65,f64,f63,f62,f61,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f209,f227,f208,f207,f206,f205,f204,f228,f203,f202,f201,f200,f199]) ).
fof(f199,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f200,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f201,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f202,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f203,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f228,plain,
( e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f32,f31,f42,f41,f40,f39,f38,f37,f36,f35,f43,f44,f50,f49,f48,f47,f46,f45,f56,f55,f54,f53,f52,f51,f60,f59,f58,f57,f69,f226,f68,f67,f66,f65,f64,f63,f62,f61,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f209,f227,f208,f207,f206,f205,f204]) ).
fof(f204,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f205,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f206,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f207,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f208,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f227,plain,
( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f32,f31,f42,f41,f40,f39,f38,f37,f36,f35,f43,f44,f50,f49,f48,f47,f46,f45,f56,f55,f54,f53,f52,f51,f60,f59,f58,f57,f69,f226,f68,f67,f66,f65,f64,f63,f62,f61,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f209]) ).
fof(f209,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f130,plain,
op(op(e0,e0),e0) = op(e0,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( op(op(e3,e3),e3) = op(e3,op(e3,e3))
& op(op(e3,e3),e2) = op(e3,op(e3,e2))
& op(op(e3,e3),e1) = op(e3,op(e3,e1))
& op(op(e3,e3),e0) = op(e3,op(e3,e0))
& op(op(e3,e2),e3) = op(e3,op(e2,e3))
& op(op(e3,e2),e2) = op(e3,op(e2,e2))
& op(op(e3,e2),e1) = op(e3,op(e2,e1))
& op(op(e3,e2),e0) = op(e3,op(e2,e0))
& op(op(e3,e1),e3) = op(e3,op(e1,e3))
& op(op(e3,e1),e2) = op(e3,op(e1,e2))
& op(op(e3,e1),e1) = op(e3,op(e1,e1))
& op(op(e3,e1),e0) = op(e3,op(e1,e0))
& op(op(e3,e0),e3) = op(e3,op(e0,e3))
& op(op(e3,e0),e2) = op(e3,op(e0,e2))
& op(op(e3,e0),e1) = op(e3,op(e0,e1))
& op(op(e3,e0),e0) = op(e3,op(e0,e0))
& op(op(e2,e3),e3) = op(e2,op(e3,e3))
& op(op(e2,e3),e2) = op(e2,op(e3,e2))
& op(op(e2,e3),e1) = op(e2,op(e3,e1))
& op(op(e2,e3),e0) = op(e2,op(e3,e0))
& op(op(e2,e2),e3) = op(e2,op(e2,e3))
& op(op(e2,e2),e2) = op(e2,op(e2,e2))
& op(op(e2,e2),e1) = op(e2,op(e2,e1))
& op(op(e2,e2),e0) = op(e2,op(e2,e0))
& op(op(e2,e1),e3) = op(e2,op(e1,e3))
& op(op(e2,e1),e2) = op(e2,op(e1,e2))
& op(op(e2,e1),e1) = op(e2,op(e1,e1))
& op(op(e2,e1),e0) = op(e2,op(e1,e0))
& op(op(e2,e0),e3) = op(e2,op(e0,e3))
& op(op(e2,e0),e2) = op(e2,op(e0,e2))
& op(op(e2,e0),e1) = op(e2,op(e0,e1))
& op(op(e2,e0),e0) = op(e2,op(e0,e0))
& op(op(e1,e3),e3) = op(e1,op(e3,e3))
& op(op(e1,e3),e2) = op(e1,op(e3,e2))
& op(op(e1,e3),e1) = op(e1,op(e3,e1))
& op(op(e1,e3),e0) = op(e1,op(e3,e0))
& op(op(e1,e2),e3) = op(e1,op(e2,e3))
& op(op(e1,e2),e2) = op(e1,op(e2,e2))
& op(op(e1,e2),e1) = op(e1,op(e2,e1))
& op(op(e1,e2),e0) = op(e1,op(e2,e0))
& op(op(e1,e1),e3) = op(e1,op(e1,e3))
& op(op(e1,e1),e2) = op(e1,op(e1,e2))
& op(op(e1,e1),e1) = op(e1,op(e1,e1))
& op(op(e1,e1),e0) = op(e1,op(e1,e0))
& op(op(e1,e0),e3) = op(e1,op(e0,e3))
& op(op(e1,e0),e2) = op(e1,op(e0,e2))
& op(op(e1,e0),e1) = op(e1,op(e0,e1))
& op(op(e1,e0),e0) = op(e1,op(e0,e0))
& op(op(e0,e3),e3) = op(e0,op(e3,e3))
& op(op(e0,e3),e2) = op(e0,op(e3,e2))
& op(op(e0,e3),e1) = op(e0,op(e3,e1))
& op(op(e0,e3),e0) = op(e0,op(e3,e0))
& op(op(e0,e2),e3) = op(e0,op(e2,e3))
& op(op(e0,e2),e2) = op(e0,op(e2,e2))
& op(op(e0,e2),e1) = op(e0,op(e2,e1))
& op(op(e0,e2),e0) = op(e0,op(e2,e0))
& op(op(e0,e1),e3) = op(e0,op(e1,e3))
& op(op(e0,e1),e2) = op(e0,op(e1,e2))
& op(op(e0,e1),e1) = op(e0,op(e1,e1))
& op(op(e0,e1),e0) = op(e0,op(e1,e0))
& op(op(e0,e0),e3) = op(e0,op(e0,e3))
& op(op(e0,e0),e2) = op(e0,op(e0,e2))
& op(op(e0,e0),e1) = op(e0,op(e0,e1))
& op(op(e0,e0),e0) = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f131,plain,
op(op(e0,e0),e1) = op(e0,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f132,plain,
op(op(e0,e0),e2) = op(e0,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f133,plain,
op(op(e0,e0),e3) = op(e0,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
op(op(e0,e1),e0) = op(e0,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
op(op(e0,e1),e1) = op(e0,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
op(op(e0,e1),e2) = op(e0,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
op(op(e0,e1),e3) = op(e0,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
op(op(e0,e2),e0) = op(e0,op(e2,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
op(op(e0,e2),e1) = op(e0,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
op(op(e0,e2),e2) = op(e0,op(e2,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
op(op(e0,e2),e3) = op(e0,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f142,plain,
op(op(e0,e3),e0) = op(e0,op(e3,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f143,plain,
op(op(e0,e3),e1) = op(e0,op(e3,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f144,plain,
op(op(e0,e3),e2) = op(e0,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f145,plain,
op(op(e0,e3),e3) = op(e0,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f146,plain,
op(op(e1,e0),e0) = op(e1,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f147,plain,
op(op(e1,e0),e1) = op(e1,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f148,plain,
op(op(e1,e0),e2) = op(e1,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f149,plain,
op(op(e1,e0),e3) = op(e1,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
op(op(e1,e1),e0) = op(e1,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
op(op(e1,e1),e1) = op(e1,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f152,plain,
op(op(e1,e1),e2) = op(e1,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f153,plain,
op(op(e1,e1),e3) = op(e1,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f154,plain,
op(op(e1,e2),e0) = op(e1,op(e2,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
op(op(e1,e2),e1) = op(e1,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f156,plain,
op(op(e1,e2),e2) = op(e1,op(e2,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f157,plain,
op(op(e1,e2),e3) = op(e1,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f158,plain,
op(op(e1,e3),e0) = op(e1,op(e3,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f159,plain,
op(op(e1,e3),e1) = op(e1,op(e3,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f160,plain,
op(op(e1,e3),e2) = op(e1,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f161,plain,
op(op(e1,e3),e3) = op(e1,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f162,plain,
op(op(e2,e0),e0) = op(e2,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f163,plain,
op(op(e2,e0),e1) = op(e2,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f164,plain,
op(op(e2,e0),e2) = op(e2,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f165,plain,
op(op(e2,e0),e3) = op(e2,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f166,plain,
op(op(e2,e1),e0) = op(e2,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f167,plain,
op(op(e2,e1),e1) = op(e2,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f168,plain,
op(op(e2,e1),e2) = op(e2,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f169,plain,
op(op(e2,e1),e3) = op(e2,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f170,plain,
op(op(e2,e2),e0) = op(e2,op(e2,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f171,plain,
op(op(e2,e2),e1) = op(e2,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f172,plain,
op(op(e2,e2),e2) = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f173,plain,
op(op(e2,e2),e3) = op(e2,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f174,plain,
op(op(e2,e3),e0) = op(e2,op(e3,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f175,plain,
op(op(e2,e3),e1) = op(e2,op(e3,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f176,plain,
op(op(e2,e3),e2) = op(e2,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f177,plain,
op(op(e2,e3),e3) = op(e2,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f178,plain,
op(op(e3,e0),e0) = op(e3,op(e0,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f179,plain,
op(op(e3,e0),e1) = op(e3,op(e0,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f180,plain,
op(op(e3,e0),e2) = op(e3,op(e0,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f181,plain,
op(op(e3,e0),e3) = op(e3,op(e0,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
op(op(e3,e1),e0) = op(e3,op(e1,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f183,plain,
op(op(e3,e1),e1) = op(e3,op(e1,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
op(op(e3,e1),e2) = op(e3,op(e1,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
op(op(e3,e1),e3) = op(e3,op(e1,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
op(op(e3,e2),e0) = op(e3,op(e2,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
op(op(e3,e2),e1) = op(e3,op(e2,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
op(op(e3,e2),e2) = op(e3,op(e2,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
op(op(e3,e2),e3) = op(e3,op(e2,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f190,plain,
op(op(e3,e3),e0) = op(e3,op(e3,e0)),
inference(cnf_transformation,[],[f2]) ).
fof(f191,plain,
op(op(e3,e3),e1) = op(e3,op(e3,e1)),
inference(cnf_transformation,[],[f2]) ).
fof(f192,plain,
op(op(e3,e3),e2) = op(e3,op(e3,e2)),
inference(cnf_transformation,[],[f2]) ).
fof(f193,plain,
op(op(e3,e3),e3) = op(e3,op(e3,e3)),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f83,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f84,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f85,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f86,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f87,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f10]) ).
fof(f88,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f89,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f90,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f91,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f92,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f93,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f94,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f95,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f96,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f97,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f98,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f99,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f100,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f101,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f102,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f103,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f104,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f105,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f106,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f107,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f108,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f109,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f110,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f111,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f112,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f113,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f114,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f115,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f116,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f117,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f118,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f119,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f121,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f122,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f123,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f124,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f10]) ).
fof(f125,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f126,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f127,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f10]) ).
fof(f128,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f129,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f10]) ).
fof(f70,plain,
unit = op(e0,inv(e0)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3) )
& ( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) )
& ( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) )
& ( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) )
& unit = op(inv(e3),e3)
& unit = op(e3,inv(e3))
& unit = op(inv(e2),e2)
& unit = op(e2,inv(e2))
& unit = op(inv(e1),e1)
& unit = op(e1,inv(e1))
& unit = op(inv(e0),e0)
& unit = op(e0,inv(e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f71,plain,
unit = op(inv(e0),e0),
inference(cnf_transformation,[],[f4]) ).
fof(f72,plain,
unit = op(e1,inv(e1)),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
unit = op(inv(e1),e1),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
unit = op(e2,inv(e2)),
inference(cnf_transformation,[],[f4]) ).
fof(f75,plain,
unit = op(inv(e2),e2),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
unit = op(e3,inv(e3)),
inference(cnf_transformation,[],[f4]) ).
fof(f77,plain,
unit = op(inv(e3),e3),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
( e3 = inv(e0)
| e2 = inv(e0)
| e1 = inv(e0)
| e0 = inv(e0) ),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
( e3 = inv(e1)
| e2 = inv(e1)
| e1 = inv(e1)
| e0 = inv(e1) ),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
( e3 = inv(e2)
| e2 = inv(e2)
| e1 = inv(e2)
| e0 = inv(e2) ),
inference(cnf_transformation,[],[f4]) ).
fof(f81,plain,
( e3 = inv(e3)
| e2 = inv(e3)
| e1 = inv(e3)
| e0 = inv(e3) ),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f62,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f63,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f64,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
e0 = unit,
inference(global_subsumption,[],[f26,f25,f24,f23,f30,f29,f28,f27,f34,f33,f32,f31,f42,f41,f40,f39,f38,f37,f36,f35,f43,f44,f50,f49,f48,f47,f46,f45,f56,f55,f54,f53,f52,f51,f60,f59,f58,f57,f69]) ).
fof(f69,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f3]) ).
fof(f57,plain,
e0 = inv(inv(e0)),
inference(cnf_transformation,[],[f7]) ).
fof(f51,plain,
inv(e0) != inv(e1),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
inv(e0) != inv(e2),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
inv(e0) != inv(e3),
inference(cnf_transformation,[],[f9]) ).
fof(f44,plain,
unit = inv(unit),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
unit = inv(unit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f35,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 )
& ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f14,f18,f17,f16]) ).
fof(f17,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f18,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f14,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
| ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f36,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f19]) ).
fof(f39,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f41,plain,
( e3 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
( e3 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f33,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f27,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f17]) ).
fof(f28,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f29,plain,
( e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f30,plain,
( e1 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f21]) ).
fof(f23,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f18]) ).
fof(f24,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f25,plain,
( e2 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f26,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG014+1 : TPTP v8.2.0. Released v2.7.0.
% 0.09/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat May 18 22:46:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % (29636)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (29639)WARNING: value z3 for option sas not known
% 0.12/0.36 % (29641)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.12/0.36 % (29640)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36 % (29643)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.12/0.36 % (29642)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.12/0.36 % (29637)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.36 % (29639)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (29638)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36 % (29639)First to succeed.
% 0.12/0.37 % (29641)Also succeeded, but the first one will report.
% 0.12/0.37 % (29639)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29636"
% 0.12/0.37 % (29639)Refutation found. Thanks to Tanya!
% 0.12/0.37 % SZS status Theorem for theBenchmark
% 0.12/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.37 % (29639)------------------------------
% 0.12/0.37 % (29639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.37 % (29639)Termination reason: Refutation
% 0.12/0.37
% 0.12/0.37 % (29639)Memory used [KB]: 905
% 0.12/0.37 % (29639)Time elapsed: 0.011 s
% 0.12/0.37 % (29639)Instructions burned: 19 (million)
% 0.12/0.37 % (29636)Success in time 0.031 s
%------------------------------------------------------------------------------