TSTP Solution File: ALG078+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Sun May 5 04:18:36 EDT 2024
% Result : Theorem 0.18s 0.39s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 21
% Syntax : Number of formulae : 426 ( 212 unt; 0 def)
% Number of atoms : 1237 ( 944 equ)
% Maximal formula atoms : 110 ( 2 avg)
% Number of connectives : 1140 ( 329 ~; 430 |; 364 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f283,f325,f380,f392,f407,f426,f449,f470,f474,f494,f510,f625,f671,f721,f811,f822,f828,f835,f930,f933,f939,f951,f958,f960]) ).
fof(f960,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| spl0_15 ),
inference(global_subsumption,[],[f662,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f397,f399,f401,f402,f12,f13,f312,f836,f850,f845,f393,f872,f864,f866,f868,f869,f409,f875,f890,f893,f883,f952,f878,f953,f844,f956,f840,f669]) ).
fof(f669,plain,
( e24 != h(e12)
| spl0_15 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl0_15
<=> e24 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f840,plain,
( h(e13) = op2(e21,h(e12))
| ~ spl0_7 ),
inference(superposition,[],[f182,f312]) ).
fof(f956,plain,
( e24 = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f955,f132]) ).
fof(f955,plain,
( op2(e21,e22) = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f842,f409]) ).
fof(f842,plain,
( h(e12) = op2(e21,h(e14))
| ~ spl0_7 ),
inference(superposition,[],[f184,f312]) ).
fof(f844,plain,
( h(e12) = op2(h(e13),e21)
| ~ spl0_7 ),
inference(superposition,[],[f191,f312]) ).
fof(f953,plain,
( e24 = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f886,f132]) ).
fof(f886,plain,
( op2(e21,e22) = h(e12)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f877,f312]) ).
fof(f877,plain,
( h(e12) = op2(h(e11),e22)
| ~ spl0_7 ),
inference(superposition,[],[f184,f409]) ).
fof(f878,plain,
( h(e13) = op2(h(e12),e22)
| ~ spl0_7 ),
inference(superposition,[],[f189,f409]) ).
fof(f952,plain,
( e21 = op2(e22,h(e12))
| ~ spl0_7 ),
inference(forward_demodulation,[],[f882,f312]) ).
fof(f882,plain,
( h(e11) = op2(e22,h(e12))
| ~ spl0_7 ),
inference(superposition,[],[f197,f409]) ).
fof(f883,plain,
( h(e12) = op2(e22,h(e13))
| ~ spl0_7 ),
inference(superposition,[],[f198,f409]) ).
fof(f893,plain,
( e20 = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f892,f136]) ).
fof(f892,plain,
( op2(e22,e21) = h(e13)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f881,f312]) ).
fof(f881,plain,
( h(e13) = op2(e22,h(e11))
| ~ spl0_7 ),
inference(superposition,[],[f196,f409]) ).
fof(f890,plain,
( e21 = op2(h(e13),e22)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f879,f312]) ).
fof(f879,plain,
( h(e11) = op2(h(e13),e22)
| ~ spl0_7 ),
inference(superposition,[],[f194,f409]) ).
fof(f875,plain,
( e14 = j(e22)
| ~ spl0_7 ),
inference(superposition,[],[f79,f409]) ).
fof(f409,plain,
( e22 = h(e14)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f396,f131]) ).
fof(f396,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_7 ),
inference(superposition,[],[f181,f312]) ).
fof(f869,plain,
( j(e23) = op1(j(e24),e11)
| ~ spl0_7 ),
inference(superposition,[],[f221,f393]) ).
fof(f868,plain,
( j(e24) = op1(j(e23),e11)
| ~ spl0_7 ),
inference(superposition,[],[f216,f393]) ).
fof(f866,plain,
( j(e23) = op1(e11,j(e24))
| ~ spl0_7 ),
inference(superposition,[],[f209,f393]) ).
fof(f864,plain,
( j(e24) = op1(e11,j(e22))
| ~ spl0_7 ),
inference(superposition,[],[f207,f393]) ).
fof(f872,plain,
( e14 = j(e22)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f863,f156]) ).
fof(f863,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_7 ),
inference(superposition,[],[f206,f393]) ).
fof(f393,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f76,f312]) ).
fof(f845,plain,
( h(e13) = op2(h(e14),e21)
| ~ spl0_7 ),
inference(superposition,[],[f196,f312]) ).
fof(f850,plain,
( e22 = h(e14)
| ~ spl0_7 ),
inference(forward_demodulation,[],[f839,f131]) ).
fof(f839,plain,
( op2(e21,e21) = h(e14)
| ~ spl0_7 ),
inference(superposition,[],[f181,f312]) ).
fof(f836,plain,
( e11 = j(e21)
| ~ spl0_7 ),
inference(superposition,[],[f76,f312]) ).
fof(f312,plain,
( e21 = h(e11)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl0_7
<=> e21 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f13,plain,
( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,negated_conjecture,
~ ( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[],[f6]) ).
fof(f6,conjecture,
( ( ( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) )
& ( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) )
& ( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) )
& ( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) )
& ( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) )
& ( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) )
& ( e24 = h(e13)
| e23 = h(e13)
| e22 = h(e13)
| e21 = h(e13)
| e20 = h(e13) )
& ( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) )
& ( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) )
& ( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ) )
=> ~ ( e14 = j(h(e14))
& e13 = j(h(e13))
& e12 = j(h(e12))
& e11 = j(h(e11))
& e10 = j(h(e10))
& e24 = h(j(e24))
& e23 = h(j(e23))
& e22 = h(j(e22))
& e21 = h(j(e21))
& e20 = h(j(e20))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f12,plain,
( e24 = h(e12)
| e23 = h(e12)
| e22 = h(e12)
| e21 = h(e12)
| e20 = h(e12) ),
inference(cnf_transformation,[],[f9]) ).
fof(f402,plain,
( h(e13) = op2(h(e14),e21)
| ~ spl0_7 ),
inference(superposition,[],[f196,f312]) ).
fof(f401,plain,
( h(e12) = op2(h(e13),e21)
| ~ spl0_7 ),
inference(superposition,[],[f191,f312]) ).
fof(f399,plain,
( h(e12) = op2(e21,h(e14))
| ~ spl0_7 ),
inference(superposition,[],[f184,f312]) ).
fof(f397,plain,
( h(e13) = op2(e21,h(e12))
| ~ spl0_7 ),
inference(superposition,[],[f182,f312]) ).
fof(f11,plain,
( e24 = h(e11)
| e23 = h(e11)
| e22 = h(e11)
| e21 = h(e11)
| e20 = h(e11) ),
inference(cnf_transformation,[],[f9]) ).
fof(f10,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f224,plain,
j(e20) = op1(j(e24),j(e24)),
inference(forward_demodulation,[],[f69,f149]) ).
fof(f223,plain,
j(e22) = op1(j(e24),j(e23)),
inference(forward_demodulation,[],[f68,f148]) ).
fof(f222,plain,
j(e21) = op1(j(e24),j(e22)),
inference(forward_demodulation,[],[f67,f147]) ).
fof(f221,plain,
j(e23) = op1(j(e24),j(e21)),
inference(forward_demodulation,[],[f66,f146]) ).
fof(f220,plain,
j(e24) = op1(j(e24),j(e20)),
inference(forward_demodulation,[],[f65,f145]) ).
fof(f219,plain,
j(e22) = op1(j(e23),j(e24)),
inference(forward_demodulation,[],[f64,f144]) ).
fof(f218,plain,
j(e21) = op1(j(e23),j(e23)),
inference(forward_demodulation,[],[f63,f143]) ).
fof(f217,plain,
j(e20) = op1(j(e23),j(e22)),
inference(forward_demodulation,[],[f62,f142]) ).
fof(f216,plain,
j(e24) = op1(j(e23),j(e21)),
inference(forward_demodulation,[],[f61,f141]) ).
fof(f215,plain,
j(e23) = op1(j(e23),j(e20)),
inference(forward_demodulation,[],[f60,f140]) ).
fof(f214,plain,
j(e21) = op1(j(e22),j(e24)),
inference(forward_demodulation,[],[f59,f139]) ).
fof(f213,plain,
j(e24) = op1(j(e22),j(e23)),
inference(forward_demodulation,[],[f58,f138]) ).
fof(f212,plain,
j(e23) = op1(j(e22),j(e22)),
inference(forward_demodulation,[],[f57,f137]) ).
fof(f211,plain,
j(e20) = op1(j(e22),j(e21)),
inference(forward_demodulation,[],[f56,f136]) ).
fof(f210,plain,
j(e22) = op1(j(e22),j(e20)),
inference(forward_demodulation,[],[f55,f135]) ).
fof(f209,plain,
j(e23) = op1(j(e21),j(e24)),
inference(forward_demodulation,[],[f54,f134]) ).
fof(f208,plain,
j(e20) = op1(j(e21),j(e23)),
inference(forward_demodulation,[],[f53,f133]) ).
fof(f207,plain,
j(e24) = op1(j(e21),j(e22)),
inference(forward_demodulation,[],[f52,f132]) ).
fof(f206,plain,
j(e22) = op1(j(e21),j(e21)),
inference(forward_demodulation,[],[f51,f131]) ).
fof(f205,plain,
j(e21) = op1(j(e21),j(e20)),
inference(forward_demodulation,[],[f50,f130]) ).
fof(f204,plain,
j(e24) = op1(j(e20),j(e24)),
inference(forward_demodulation,[],[f49,f129]) ).
fof(f203,plain,
j(e23) = op1(j(e20),j(e23)),
inference(forward_demodulation,[],[f48,f128]) ).
fof(f202,plain,
j(e22) = op1(j(e20),j(e22)),
inference(forward_demodulation,[],[f47,f127]) ).
fof(f201,plain,
j(e21) = op1(j(e20),j(e21)),
inference(forward_demodulation,[],[f46,f126]) ).
fof(f200,plain,
j(e20) = op1(j(e20),j(e20)),
inference(forward_demodulation,[],[f45,f125]) ).
fof(f199,plain,
h(e10) = op2(h(e14),h(e14)),
inference(forward_demodulation,[],[f44,f174]) ).
fof(f198,plain,
h(e12) = op2(h(e14),h(e13)),
inference(forward_demodulation,[],[f43,f173]) ).
fof(f197,plain,
h(e11) = op2(h(e14),h(e12)),
inference(forward_demodulation,[],[f42,f172]) ).
fof(f196,plain,
h(e13) = op2(h(e14),h(e11)),
inference(forward_demodulation,[],[f41,f171]) ).
fof(f195,plain,
h(e14) = op2(h(e14),h(e10)),
inference(forward_demodulation,[],[f40,f170]) ).
fof(f194,plain,
h(e11) = op2(h(e13),h(e14)),
inference(forward_demodulation,[],[f39,f169]) ).
fof(f193,plain,
h(e14) = op2(h(e13),h(e13)),
inference(forward_demodulation,[],[f38,f168]) ).
fof(f192,plain,
h(e10) = op2(h(e13),h(e12)),
inference(forward_demodulation,[],[f37,f167]) ).
fof(f191,plain,
h(e12) = op2(h(e13),h(e11)),
inference(forward_demodulation,[],[f36,f166]) ).
fof(f190,plain,
h(e13) = op2(h(e13),h(e10)),
inference(forward_demodulation,[],[f35,f165]) ).
fof(f189,plain,
h(e13) = op2(h(e12),h(e14)),
inference(forward_demodulation,[],[f34,f164]) ).
fof(f188,plain,
h(e11) = op2(h(e12),h(e13)),
inference(forward_demodulation,[],[f33,f163]) ).
fof(f187,plain,
h(e14) = op2(h(e12),h(e12)),
inference(forward_demodulation,[],[f32,f162]) ).
fof(f186,plain,
h(e10) = op2(h(e12),h(e11)),
inference(forward_demodulation,[],[f31,f161]) ).
fof(f185,plain,
h(e12) = op2(h(e12),h(e10)),
inference(forward_demodulation,[],[f30,f160]) ).
fof(f184,plain,
h(e12) = op2(h(e11),h(e14)),
inference(forward_demodulation,[],[f29,f159]) ).
fof(f183,plain,
h(e10) = op2(h(e11),h(e13)),
inference(forward_demodulation,[],[f28,f158]) ).
fof(f182,plain,
h(e13) = op2(h(e11),h(e12)),
inference(forward_demodulation,[],[f27,f157]) ).
fof(f181,plain,
h(e14) = op2(h(e11),h(e11)),
inference(forward_demodulation,[],[f26,f156]) ).
fof(f180,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[],[f25,f155]) ).
fof(f179,plain,
h(e14) = op2(h(e10),h(e14)),
inference(forward_demodulation,[],[f24,f154]) ).
fof(f178,plain,
h(e13) = op2(h(e10),h(e13)),
inference(forward_demodulation,[],[f23,f153]) ).
fof(f177,plain,
h(e12) = op2(h(e10),h(e12)),
inference(forward_demodulation,[],[f22,f152]) ).
fof(f176,plain,
h(e11) = op2(h(e10),h(e11)),
inference(forward_demodulation,[],[f21,f151]) ).
fof(f175,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[],[f20,f150]) ).
fof(f174,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e10 = op1(e14,e14)
& e12 = op1(e14,e13)
& e11 = op1(e14,e12)
& e13 = op1(e14,e11)
& e14 = op1(e14,e10)
& e11 = op1(e13,e14)
& e14 = op1(e13,e13)
& e10 = op1(e13,e12)
& e12 = op1(e13,e11)
& e13 = op1(e13,e10)
& e13 = op1(e12,e14)
& e11 = op1(e12,e13)
& e14 = op1(e12,e12)
& e10 = op1(e12,e11)
& e12 = op1(e12,e10)
& e12 = op1(e11,e14)
& e10 = op1(e11,e13)
& e13 = op1(e11,e12)
& e14 = op1(e11,e11)
& e11 = op1(e11,e10)
& e14 = op1(e10,e14)
& e13 = op1(e10,e13)
& e12 = op1(e10,e12)
& e11 = op1(e10,e11)
& e10 = op1(e10,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f173,plain,
e12 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f172,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f171,plain,
e13 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f170,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f169,plain,
e11 = op1(e13,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f168,plain,
e14 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f167,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f166,plain,
e12 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f165,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f164,plain,
e13 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f163,plain,
e11 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f162,plain,
e14 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f160,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f159,plain,
e12 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
e10 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
e13 = op1(e11,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e14 = op1(e10,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e13 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e12 = op1(e10,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
e11 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(e24,e24)
& e22 = op2(e24,e23)
& e21 = op2(e24,e22)
& e23 = op2(e24,e21)
& e24 = op2(e24,e20)
& e22 = op2(e23,e24)
& e21 = op2(e23,e23)
& e20 = op2(e23,e22)
& e24 = op2(e23,e21)
& e23 = op2(e23,e20)
& e21 = op2(e22,e24)
& e24 = op2(e22,e23)
& e23 = op2(e22,e22)
& e20 = op2(e22,e21)
& e22 = op2(e22,e20)
& e23 = op2(e21,e24)
& e20 = op2(e21,e23)
& e24 = op2(e21,e22)
& e22 = op2(e21,e21)
& e21 = op2(e21,e20)
& e24 = op2(e20,e24)
& e23 = op2(e20,e23)
& e22 = op2(e20,e22)
& e21 = op2(e20,e21)
& e20 = op2(e20,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f148,plain,
e22 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f146,plain,
e23 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f145,plain,
e24 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f143,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
e20 = op2(e23,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f141,plain,
e24 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
e23 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f139,plain,
e21 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
e24 = op2(e22,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f137,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f136,plain,
e20 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f135,plain,
e22 = op2(e22,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f134,plain,
e23 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
e20 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
e24 = op2(e21,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
e21 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f129,plain,
e24 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
e23 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
e22 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e21 = op2(e20,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f79,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f78,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f77,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f76,plain,
e11 = j(h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f75,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f74,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f73,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f72,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f71,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f70,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e14 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( e14 != e24
& e14 != e23
& e14 != e22
& e14 != e21
& e14 != e20
& e13 != e24
& e13 != e23
& e13 != e22
& e13 != e21
& e13 != e20
& e12 != e24
& e12 != e23
& e12 != e22
& e12 != e21
& e12 != e20
& e11 != e24
& e11 != e23
& e11 != e22
& e11 != e21
& e11 != e20
& e10 != e24
& e10 != e23
& e10 != e22
& e10 != e21
& e10 != e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f123,plain,
e14 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
e14 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
e14 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f120,plain,
e14 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f119,plain,
e13 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
e13 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f117,plain,
e13 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
e13 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
e13 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
e12 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
e12 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
e12 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
e12 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
e12 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
e11 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
e11 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
e11 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
e11 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
e11 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
e10 != e24,
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
e10 != e23,
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
e10 != e22,
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
e10 != e21,
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
e10 != e20,
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f98,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f97,plain,
e22 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f94,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f91,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f90,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f89,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f88,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f87,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f86,plain,
e11 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f85,plain,
e11 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f84,plain,
e11 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f83,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f82,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f81,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f80,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f15,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f16,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
( e14 = j(e22)
| e13 = j(e22)
| e12 = j(e22)
| e11 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( e14 = j(e23)
| e13 = j(e23)
| e12 = j(e23)
| e11 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f19,plain,
( e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f24,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f27,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f28,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f29,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f32,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f33,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f34,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f35,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f36,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f37,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f38,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f40,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f41,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f42,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f44,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f45,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f47,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f48,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f50,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f52,plain,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f53,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f55,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f58,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f59,plain,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f60,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f62,plain,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f63,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f64,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f65,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f66,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f67,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f68,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f69,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f662,plain,
( e22 = h(e12)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl0_13
<=> e22 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f958,plain,
( ~ spl0_7
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl0_7
| spl0_15 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f397,f399,f401,f402,f12,f13,f312,f836,f850,f845,f393,f872,f864,f866,f868,f869,f409,f875,f890,f893,f883,f952,f878,f953,f844,f956,f840,f669]) ).
fof(f951,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f928,f91]) ).
fof(f928,plain,
( e20 = e22
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f409,f692]) ).
fof(f692,plain,
( e20 = h(e14)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f677,f149]) ).
fof(f677,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_15 ),
inference(superposition,[],[f187,f670]) ).
fof(f670,plain,
( e24 = h(e12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f939,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f938,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f937,f96]) ).
fof(f937,plain,
( e21 = e24
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f936,f130]) ).
fof(f936,plain,
( e24 = op2(e21,e20)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f935,f670]) ).
fof(f935,plain,
( op2(e21,e20) = h(e12)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f920,f312]) ).
fof(f920,plain,
( h(e12) = op2(h(e11),e20)
| ~ spl0_15 ),
inference(superposition,[],[f184,f692]) ).
fof(f933,plain,
( ~ spl0_1
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f932,plain,
( $false
| ~ spl0_1
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f931,f83]) ).
fof(f931,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_15 ),
inference(forward_demodulation,[],[f918,f511]) ).
fof(f511,plain,
( e10 = j(e20)
| ~ spl0_1 ),
inference(superposition,[],[f75,f228]) ).
fof(f228,plain,
( e20 = h(e10)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_1
<=> e20 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f918,plain,
( e14 = j(e20)
| ~ spl0_15 ),
inference(superposition,[],[f79,f692]) ).
fof(f930,plain,
( ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f929,plain,
( $false
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f917,f91]) ).
fof(f917,plain,
( e20 = e22
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f692,f409]) ).
fof(f835,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f834,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f833,f99]) ).
fof(f833,plain,
( e23 = e24
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f832,f140]) ).
fof(f832,plain,
( e24 = op2(e23,e20)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f831,f670]) ).
fof(f831,plain,
( op2(e23,e20) = h(e12)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f808,f429]) ).
fof(f429,plain,
( e23 = h(e14)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f415,f137]) ).
fof(f415,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f181,f316]) ).
fof(f316,plain,
( e22 = h(e11)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl0_8
<=> e22 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f808,plain,
( h(e12) = op2(h(e14),e20)
| ~ spl0_8 ),
inference(superposition,[],[f198,f798]) ).
fof(f798,plain,
( e20 = h(e13)
| ~ spl0_8 ),
inference(global_subsumption,[],[f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f80,f81,f82,f83,f84,f85,f86,f87,f88,f89,f90,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f70,f71,f72,f73,f74,f75,f76,f77,f78,f79,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f137,f138,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f181,f182,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f193,f194,f195,f196,f197,f198,f199,f200,f201,f202,f203,f204,f205,f206,f207,f208,f209,f210,f211,f212,f213,f214,f215,f216,f217,f218,f219,f220,f221,f222,f223,f224,f10,f11,f416,f418,f420,f421,f12,f316,f736,f751,f745,f412,f762,f773,f766,f767,f769,f429,f775,f790,f793,f13]) ).
fof(f793,plain,
( e20 = h(e13)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f792,f142]) ).
fof(f792,plain,
( op2(e23,e22) = h(e13)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f781,f316]) ).
fof(f781,plain,
( h(e13) = op2(e23,h(e11))
| ~ spl0_8 ),
inference(superposition,[],[f196,f429]) ).
fof(f790,plain,
( e22 = op2(h(e13),e23)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f779,f316]) ).
fof(f779,plain,
( h(e11) = op2(h(e13),e23)
| ~ spl0_8 ),
inference(superposition,[],[f194,f429]) ).
fof(f775,plain,
( e14 = j(e23)
| ~ spl0_8 ),
inference(superposition,[],[f79,f429]) ).
fof(f769,plain,
( j(e21) = op1(j(e24),e11)
| ~ spl0_8 ),
inference(superposition,[],[f222,f412]) ).
fof(f767,plain,
( j(e21) = op1(e11,j(e24))
| ~ spl0_8 ),
inference(superposition,[],[f214,f412]) ).
fof(f766,plain,
( j(e24) = op1(e11,j(e23))
| ~ spl0_8 ),
inference(superposition,[],[f213,f412]) ).
fof(f773,plain,
( e14 = j(e23)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f765,f156]) ).
fof(f765,plain,
( op1(e11,e11) = j(e23)
| ~ spl0_8 ),
inference(superposition,[],[f212,f412]) ).
fof(f762,plain,
( j(e24) = op1(j(e21),e11)
| ~ spl0_8 ),
inference(superposition,[],[f207,f412]) ).
fof(f412,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f316]) ).
fof(f745,plain,
( h(e13) = op2(h(e14),e22)
| ~ spl0_8 ),
inference(superposition,[],[f196,f316]) ).
fof(f751,plain,
( e23 = h(e14)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f739,f137]) ).
fof(f739,plain,
( op2(e22,e22) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f181,f316]) ).
fof(f736,plain,
( e11 = j(e22)
| ~ spl0_8 ),
inference(superposition,[],[f76,f316]) ).
fof(f421,plain,
( h(e13) = op2(h(e14),e22)
| ~ spl0_8 ),
inference(superposition,[],[f196,f316]) ).
fof(f420,plain,
( h(e12) = op2(h(e13),e22)
| ~ spl0_8 ),
inference(superposition,[],[f191,f316]) ).
fof(f418,plain,
( h(e12) = op2(e22,h(e14))
| ~ spl0_8 ),
inference(superposition,[],[f184,f316]) ).
fof(f416,plain,
( h(e13) = op2(e22,h(e12))
| ~ spl0_8 ),
inference(superposition,[],[f182,f316]) ).
fof(f828,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f826,f92]) ).
fof(f826,plain,
( e20 = e23
| ~ spl0_8 ),
inference(forward_demodulation,[],[f825,f125]) ).
fof(f825,plain,
( e23 = op2(e20,e20)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f806,f429]) ).
fof(f806,plain,
( op2(e20,e20) = h(e14)
| ~ spl0_8 ),
inference(superposition,[],[f193,f798]) ).
fof(f822,plain,
( ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f820,f98]) ).
fof(f820,plain,
( e22 = e24
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f819,f127]) ).
fof(f819,plain,
( e24 = op2(e20,e22)
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f818,f670]) ).
fof(f818,plain,
( op2(e20,e22) = h(e12)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f804,f316]) ).
fof(f804,plain,
( h(e12) = op2(e20,h(e11))
| ~ spl0_8 ),
inference(superposition,[],[f191,f798]) ).
fof(f811,plain,
( ~ spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f810]) ).
fof(f810,plain,
( $false
| ~ spl0_1
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f809,f82]) ).
fof(f809,plain,
( e10 = e13
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f799,f511]) ).
fof(f799,plain,
( e13 = j(e20)
| ~ spl0_8 ),
inference(superposition,[],[f78,f798]) ).
fof(f721,plain,
( ~ spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f720]) ).
fof(f720,plain,
( $false
| ~ spl0_1
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f719,f83]) ).
fof(f719,plain,
( e10 = e14
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f709,f511]) ).
fof(f709,plain,
( e14 = j(e20)
| ~ spl0_10 ),
inference(superposition,[],[f79,f475]) ).
fof(f475,plain,
( e20 = h(e14)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f456,f149]) ).
fof(f456,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_10 ),
inference(superposition,[],[f181,f324]) ).
fof(f324,plain,
( e24 = h(e11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl0_10
<=> e24 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f671,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f12,f668,f664,f660,f656,f652]) ).
fof(f652,plain,
( spl0_11
<=> e20 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f656,plain,
( spl0_12
<=> e21 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f664,plain,
( spl0_14
<=> e23 = h(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f625,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f624,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f623,f90]) ).
fof(f623,plain,
( e20 = e21
| ~ spl0_9 ),
inference(forward_demodulation,[],[f622,f149]) ).
fof(f622,plain,
( e21 = op2(e24,e24)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f611,f450]) ).
fof(f450,plain,
( e21 = h(e14)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f435,f143]) ).
fof(f435,plain,
( op2(e23,e23) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f181,f320]) ).
fof(f320,plain,
( e23 = h(e11)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f318,plain,
( spl0_9
<=> e23 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f611,plain,
( op2(e24,e24) = h(e14)
| ~ spl0_9 ),
inference(superposition,[],[f187,f567]) ).
fof(f567,plain,
( e24 = h(e12)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f566,f141]) ).
fof(f566,plain,
( op2(e23,e21) = h(e12)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f557,f320]) ).
fof(f557,plain,
( h(e12) = op2(h(e11),e21)
| ~ spl0_9 ),
inference(superposition,[],[f184,f450]) ).
fof(f510,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f508,f95]) ).
fof(f508,plain,
( e21 = e23
| ~ spl0_4 ),
inference(forward_demodulation,[],[f496,f143]) ).
fof(f496,plain,
( e23 = op2(e23,e23)
| ~ spl0_4 ),
inference(superposition,[],[f175,f240]) ).
fof(f240,plain,
( e23 = h(e10)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_4
<=> e23 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f494,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f492,f93]) ).
fof(f492,plain,
( e20 = e24
| ~ spl0_5 ),
inference(forward_demodulation,[],[f479,f149]) ).
fof(f479,plain,
( e24 = op2(e24,e24)
| ~ spl0_5 ),
inference(superposition,[],[f175,f244]) ).
fof(f244,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_5
<=> e24 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f474,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f472,f96]) ).
fof(f472,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f471,f147]) ).
fof(f471,plain,
( e24 = op2(e24,e22)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f455,f236]) ).
fof(f236,plain,
( e22 = h(e10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f234,plain,
( spl0_3
<=> e22 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f455,plain,
( e24 = op2(e24,h(e10))
| ~ spl0_10 ),
inference(superposition,[],[f180,f324]) ).
fof(f470,plain,
( ~ spl0_3
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f469]) ).
fof(f469,plain,
( $false
| ~ spl0_3
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f468,f96]) ).
fof(f468,plain,
( e21 = e24
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f467,f139]) ).
fof(f467,plain,
( e24 = op2(e22,e24)
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f454,f236]) ).
fof(f454,plain,
( e24 = op2(h(e10),e24)
| ~ spl0_10 ),
inference(superposition,[],[f176,f324]) ).
fof(f449,plain,
( ~ spl0_3
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl0_3
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f447,f92]) ).
fof(f447,plain,
( e20 = e23
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f446,f142]) ).
fof(f446,plain,
( e23 = op2(e23,e22)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f434,f236]) ).
fof(f434,plain,
( e23 = op2(e23,h(e10))
| ~ spl0_9 ),
inference(superposition,[],[f180,f320]) ).
fof(f426,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f424,f80]) ).
fof(f424,plain,
( e10 = e11
| ~ spl0_3
| ~ spl0_8 ),
inference(forward_demodulation,[],[f412,f291]) ).
fof(f291,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f75,f236]) ).
fof(f407,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f405,f90]) ).
fof(f405,plain,
( e20 = e21
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f404,f136]) ).
fof(f404,plain,
( e21 = op2(e22,e21)
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[],[f394,f236]) ).
fof(f394,plain,
( e21 = op2(h(e10),e21)
| ~ spl0_7 ),
inference(superposition,[],[f176,f312]) ).
fof(f392,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f390,f91]) ).
fof(f390,plain,
( e20 = e22
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f389,f125]) ).
fof(f389,plain,
( e22 = op2(e20,e20)
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f377,f236]) ).
fof(f377,plain,
( op2(e20,e20) = h(e10)
| ~ spl0_6 ),
inference(superposition,[],[f199,f338]) ).
fof(f338,plain,
( e20 = h(e14)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f329,f125]) ).
fof(f329,plain,
( op2(e20,e20) = h(e14)
| ~ spl0_6 ),
inference(superposition,[],[f181,f308]) ).
fof(f308,plain,
( e20 = h(e11)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl0_6
<=> e20 = h(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f380,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f378,f86]) ).
fof(f378,plain,
( e11 = e14
| ~ spl0_6 ),
inference(forward_demodulation,[],[f368,f326]) ).
fof(f326,plain,
( e11 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f76,f308]) ).
fof(f368,plain,
( e14 = j(e20)
| ~ spl0_6 ),
inference(superposition,[],[f79,f338]) ).
fof(f325,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f322,f318,f314,f310,f306]) ).
fof(f283,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f282]) ).
fof(f282,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f281,f94]) ).
fof(f281,plain,
( e21 = e22
| ~ spl0_2 ),
inference(forward_demodulation,[],[f271,f232]) ).
fof(f232,plain,
( e21 = h(e10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl0_2
<=> e21 = h(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f271,plain,
( e22 = h(e10)
| ~ spl0_2 ),
inference(superposition,[],[f72,f270]) ).
fof(f270,plain,
( e10 = j(e22)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f263,f150]) ).
fof(f263,plain,
( op1(e10,e10) = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f206,f246]) ).
fof(f246,plain,
( e10 = j(e21)
| ~ spl0_2 ),
inference(superposition,[],[f75,f232]) ).
fof(f245,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f242,f238,f234,f230,f226]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG078+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.32 % Computer : n028.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Fri May 3 19:55:08 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.14/0.33 % (30421)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.35 % (30427)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)
% 0.14/0.35 % (30423)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.35 % (30424)WARNING: value z3 for option sas not known
% 0.14/0.35 % (30424)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)
% 0.14/0.36 % (30425)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 % (30422)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.36 % (30426)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)
% 0.14/0.36 % (30428)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)
% 0.14/0.38 Detected minimum model sizes of [10]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 Detected minimum model sizes of [10]
% 0.14/0.38 Detected maximum model sizes of [max]
% 0.14/0.38 TRYING [10]
% 0.14/0.38 % (30424)First to succeed.
% 0.14/0.38 TRYING [10]
% 0.18/0.39 % (30424)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30421"
% 0.18/0.39 % (30424)Refutation found. Thanks to Tanya!
% 0.18/0.39 % SZS status Theorem for theBenchmark
% 0.18/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.40 % (30424)------------------------------
% 0.18/0.40 % (30424)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.40 % (30424)Termination reason: Refutation
% 0.18/0.40
% 0.18/0.40 % (30424)Memory used [KB]: 1132
% 0.18/0.40 % (30424)Time elapsed: 0.040 s
% 0.18/0.40 % (30424)Instructions burned: 54 (million)
% 0.18/0.40 % (30421)Success in time 0.063 s
%------------------------------------------------------------------------------