TSTP Solution File: GRP368-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP368-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.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 21:08:17 EDT 2024
% Result : Unsatisfiable 1.04s 0.85s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 73
% Syntax : Number of formulae : 357 ( 32 unt; 0 def)
% Number of atoms : 1346 ( 303 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1846 ( 857 ~; 971 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 19 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 78 ( 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1389,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f124,f125,f126,f127,f132,f133,f134,f135,f136,f141,f142,f143,f144,f145,f150,f151,f152,f153,f154,f159,f160,f161,f162,f163,f189,f294,f327,f363,f391,f400,f442,f443,f925,f966,f969,f1184,f1299,f1349,f1367,f1380,f1388]) ).
fof(f1388,plain,
( ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f1386,f1141]) ).
fof(f1141,plain,
( sk_c5 = sk_c7
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1139,f1022]) ).
fof(f1022,plain,
( sk_c5 = multiply(sk_c7,sk_c2)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f412,f1007]) ).
fof(f1007,plain,
( sk_c5 = sk_c6
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1004,f415]) ).
fof(f415,plain,
( multiply(sk_c5,sk_c7) = sk_c6
| ~ spl21_1 ),
inference(backward_demodulation,[],[f48,f93]) ).
fof(f93,plain,
( sk_c6 = sF11
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl21_1
<=> sk_c6 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f48,plain,
multiply(sk_c5,sk_c7) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f1004,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f972,f934]) ).
fof(f934,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl21_10 ),
inference(backward_demodulation,[],[f76,f149]) ).
fof(f149,plain,
( sk_c7 = sF19
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl21_10
<=> sk_c7 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f76,plain,
multiply(sk_c3,sk_c5) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f972,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = X0
| ~ spl21_11 ),
inference(forward_demodulation,[],[f971,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f971,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c3,X0))
| ~ spl21_11 ),
inference(superposition,[],[f3,f932]) ).
fof(f932,plain,
( identity = multiply(sk_c5,sk_c3)
| ~ spl21_11 ),
inference(backward_demodulation,[],[f198,f158]) ).
fof(f158,plain,
( sk_c5 = sF20
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl21_11
<=> sk_c5 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f198,plain,
identity = multiply(sF20,sk_c3),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
inverse(sk_c3) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f412,plain,
( sk_c6 = multiply(sk_c7,sk_c2)
| ~ spl21_7 ),
inference(backward_demodulation,[],[f58,f122]) ).
fof(f122,plain,
( sk_c6 = sF16
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl21_7
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f58,plain,
multiply(sk_c7,sk_c2) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f1139,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f974,f939]) ).
fof(f939,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl21_8 ),
inference(backward_demodulation,[],[f64,f131]) ).
fof(f131,plain,
( sk_c2 = sF17
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl21_8
<=> sk_c2 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f64,plain,
multiply(sk_c1,sk_c7) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f974,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl21_9 ),
inference(forward_demodulation,[],[f973,f1]) ).
fof(f973,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl21_9 ),
inference(superposition,[],[f3,f936]) ).
fof(f936,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f197,f140]) ).
fof(f140,plain,
( sk_c7 = sF18
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl21_9
<=> sk_c7 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f197,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f1386,plain,
( sk_c5 != sk_c7
| ~ spl21_1
| spl21_2
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f96,f1382]) ).
fof(f1382,plain,
( sk_c7 = sF10
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1381,f1316]) ).
fof(f1316,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1154,f1229]) ).
fof(f1229,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f1152,f1154]) ).
fof(f1152,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f935,f1141]) ).
fof(f935,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c5,X0))
| ~ spl21_10 ),
inference(backward_demodulation,[],[f209,f149]) ).
fof(f209,plain,
! [X0] : multiply(sk_c3,multiply(sk_c5,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f76]) ).
fof(f1154,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f972,f1141]) ).
fof(f1381,plain,
( sF10 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f47,f1155]) ).
fof(f1155,plain,
( sk_c7 = sk_c6
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1007,f1141]) ).
fof(f47,plain,
multiply(sk_c6,sk_c7) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f96,plain,
( sk_c5 != sF10
| spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl21_2
<=> sk_c5 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f1380,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(avatar_contradiction_clause,[],[f1379]) ).
fof(f1379,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f1378,f35]) ).
fof(f35,plain,
~ sP0(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1378,plain,
( sP0(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(forward_demodulation,[],[f1377,f1316]) ).
fof(f1377,plain,
( sP0(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f1376,f36]) ).
fof(f36,plain,
~ sP1(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1376,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c7,sk_c7))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(superposition,[],[f1369,f1364]) ).
fof(f1364,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1157,f1347]) ).
fof(f1347,plain,
( sk_c7 = sF12
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1345,f1157]) ).
fof(f1345,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1150,f1344]) ).
fof(f1344,plain,
( sk_c7 = sk_c3
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1325,f1334]) ).
fof(f1334,plain,
( identity = sk_c7
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1169,f1319]) ).
fof(f1319,plain,
( ! [X0] : multiply(sF12,X0) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1171,f1316]) ).
fof(f1171,plain,
( ! [X0] : multiply(sF12,multiply(sk_c7,X0)) = X0
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1130,f1141]) ).
fof(f1130,plain,
( ! [X0] : multiply(sF12,multiply(sk_c5,X0)) = X0
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1129,f1]) ).
fof(f1129,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF12,multiply(sk_c5,X0))
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f3,f1031]) ).
fof(f1031,plain,
( identity = multiply(sF12,sk_c5)
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f976,f1007]) ).
fof(f976,plain,
identity = multiply(sF12,sk_c6),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c6) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f1169,plain,
( identity = multiply(sF12,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1031,f1141]) ).
fof(f1325,plain,
( identity = sk_c3
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1149,f1316]) ).
fof(f1149,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f932,f1141]) ).
fof(f1150,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f933,f1141]) ).
fof(f933,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl21_11 ),
inference(backward_demodulation,[],[f82,f158]) ).
fof(f1157,plain,
( sF12 = inverse(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1010,f1141]) ).
fof(f1010,plain,
( sF12 = inverse(sk_c5)
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f50,f1007]) ).
fof(f1369,plain,
( ! [X6] :
( sP1(inverse(X6))
| sP0(multiply(X6,sk_c7)) )
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_18 ),
inference(forward_demodulation,[],[f188,f1155]) ).
fof(f188,plain,
( ! [X6] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6)) )
| ~ spl21_18 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl21_18
<=> ! [X6] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_18])]) ).
fof(f1367,plain,
( ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_contradiction_clause,[],[f1366]) ).
fof(f1366,plain,
( $false
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f1365,f1142]) ).
fof(f1142,plain,
( ~ sP3(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f38,f1141]) ).
fof(f38,plain,
~ sP3(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1365,plain,
( sP3(sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(backward_demodulation,[],[f181,f1347]) ).
fof(f181,plain,
( sP3(sF12)
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl21_16
<=> sP3(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f1349,plain,
( ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f1347,f1147]) ).
fof(f1147,plain,
( sk_c7 != sF12
| ~ spl21_1
| spl21_3
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f101,f1141]) ).
fof(f101,plain,
( sk_c5 != sF12
| spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl21_3
<=> sk_c5 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f1299,plain,
( ~ spl21_1
| ~ spl21_5
| spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl21_1
| ~ spl21_5
| spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f1257,f116]) ).
fof(f116,plain,
( sk_c7 != sF15
| spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl21_6
<=> sk_c7 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f1257,plain,
( sk_c7 = sF15
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1191,f1246]) ).
fof(f1246,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1242,f1165]) ).
fof(f1165,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1021,f1141]) ).
fof(f1021,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f411,f1007]) ).
fof(f411,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| ~ spl21_7 ),
inference(backward_demodulation,[],[f205,f122]) ).
fof(f205,plain,
! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = multiply(sF16,X0),
inference(superposition,[],[f3,f58]) ).
fof(f1242,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f974,f1238]) ).
fof(f1238,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,X0)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1209,f1227]) ).
fof(f1227,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f1152,f215]) ).
fof(f215,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl21_5 ),
inference(forward_demodulation,[],[f214,f1]) ).
fof(f214,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl21_5 ),
inference(superposition,[],[f3,f196]) ).
fof(f196,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl21_5 ),
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f112,plain,
( sk_c7 = sF14
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl21_5
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f54,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f1209,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f938,f1154]) ).
fof(f938,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| ~ spl21_8 ),
inference(backward_demodulation,[],[f208,f131]) ).
fof(f208,plain,
! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF17,X0),
inference(superposition,[],[f3,f64]) ).
fof(f1191,plain,
( sk_c7 = multiply(sk_c7,sF15)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f215,f1185]) ).
fof(f1185,plain,
( sF15 = multiply(sk_c4,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f56,f1155]) ).
fof(f56,plain,
multiply(sk_c4,sk_c6) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1184,plain,
( ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1183,plain,
( $false
| ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f1182,f1170]) ).
fof(f1170,plain,
( sk_c7 != sF13
| ~ spl21_1
| spl21_4
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1116,f1141]) ).
fof(f1116,plain,
( sk_c5 != sF13
| ~ spl21_1
| spl21_4
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f106,f1007]) ).
fof(f106,plain,
( sk_c6 != sF13
| spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl21_4
<=> sk_c6 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f1182,plain,
( sk_c7 = sF13
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1145,f1168]) ).
fof(f1168,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1024,f1141]) ).
fof(f1024,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl21_1
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f415,f1007]) ).
fof(f1145,plain,
( sF13 = multiply(sk_c7,sk_c7)
| ~ spl21_1
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f52,f1141]) ).
fof(f52,plain,
multiply(sk_c7,sk_c5) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f969,plain,
( ~ spl21_2
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f968,plain,
( $false
| ~ spl21_2
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f967,f39]) ).
fof(f39,plain,
~ sP4(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f967,plain,
( sP4(sk_c5)
| ~ spl21_2
| ~ spl21_15 ),
inference(forward_demodulation,[],[f177,f97]) ).
fof(f97,plain,
( sk_c5 = sF10
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f177,plain,
( sP4(sF10)
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl21_15
<=> sP4(sF10) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f966,plain,
( ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f964,f42]) ).
fof(f42,plain,
~ sP7(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f964,plain,
( sP7(sk_c7)
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_13 ),
inference(forward_demodulation,[],[f963,f937]) ).
fof(f937,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f70,f140]) ).
fof(f963,plain,
( sP7(inverse(sk_c1))
| ~ spl21_7
| ~ spl21_8
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f962,f43]) ).
fof(f43,plain,
~ sP8(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f962,plain,
( sP8(sk_c6)
| sP7(inverse(sk_c1))
| ~ spl21_7
| ~ spl21_8
| ~ spl21_13 ),
inference(forward_demodulation,[],[f951,f412]) ).
fof(f951,plain,
( sP8(multiply(sk_c7,sk_c2))
| sP7(inverse(sk_c1))
| ~ spl21_8
| ~ spl21_13 ),
inference(superposition,[],[f170,f939]) ).
fof(f170,plain,
( ! [X4] :
( sP8(multiply(sk_c7,multiply(X4,sk_c7)))
| sP7(inverse(X4)) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl21_13
<=> ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f925,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(avatar_contradiction_clause,[],[f924]) ).
fof(f924,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f923,f35]) ).
fof(f923,plain,
( sP0(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(forward_demodulation,[],[f922,f705]) ).
fof(f705,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f704,f493]) ).
fof(f493,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f471,f484]) ).
fof(f484,plain,
( ! [X0] : multiply(sF10,X0) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1,f483]) ).
fof(f483,plain,
( identity = sF10
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f480,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl21_3 ),
inference(superposition,[],[f2,f193]) ).
fof(f193,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl21_3 ),
inference(backward_demodulation,[],[f50,f102]) ).
fof(f102,plain,
( sk_c5 = sF12
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f480,plain,
( sF10 = multiply(sk_c5,sk_c6)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f213,f472]) ).
fof(f472,plain,
( sk_c6 = multiply(sk_c6,sF10)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f470,f220]) ).
fof(f220,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f215,f190]) ).
fof(f190,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl21_6 ),
inference(backward_demodulation,[],[f56,f117]) ).
fof(f117,plain,
( sk_c7 = sF15
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f470,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sF10)
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f204,f466]) ).
fof(f466,plain,
( sk_c7 = multiply(sk_c5,sF10)
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f213,f402]) ).
fof(f402,plain,
( multiply(sk_c6,sk_c7) = sF10
| ~ spl21_4 ),
inference(backward_demodulation,[],[f226,f401]) ).
fof(f401,plain,
( sF10 = multiply(sk_c7,sF11)
| ~ spl21_4 ),
inference(forward_demodulation,[],[f47,f226]) ).
fof(f226,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c7,sF11)
| ~ spl21_4 ),
inference(superposition,[],[f204,f48]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl21_4 ),
inference(superposition,[],[f3,f192]) ).
fof(f192,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl21_4 ),
inference(backward_demodulation,[],[f52,f107]) ).
fof(f107,plain,
( sk_c6 = sF13
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl21_3 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl21_3 ),
inference(superposition,[],[f3,f195]) ).
fof(f471,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sF10,X0))
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f3,f466]) ).
fof(f704,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f484,f97]) ).
fof(f922,plain,
( sP0(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(subsumption_resolution,[],[f921,f36]) ).
fof(f921,plain,
( sP1(sk_c7)
| sP0(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(superposition,[],[f838,f859]) ).
fof(f859,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f851,f858]) ).
fof(f858,plain,
( sk_c5 = sk_c7
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f775,f836]) ).
fof(f836,plain,
( sk_c7 = sk_c6
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f498,f749]) ).
fof(f749,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f496,f705]) ).
fof(f496,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f215,f492]) ).
fof(f492,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f478,f484]) ).
fof(f478,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,multiply(sF10,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f3,f475]) ).
fof(f475,plain,
( sk_c6 = multiply(sk_c4,sF10)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f473,f220]) ).
fof(f473,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c4,sF10)
| ~ spl21_4
| ~ spl21_6 ),
inference(superposition,[],[f207,f402]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl21_6 ),
inference(superposition,[],[f3,f190]) ).
fof(f498,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f190,f492]) ).
fof(f775,plain,
( sk_c5 = sk_c6
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f192,f705]) ).
fof(f851,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f193,f836]) ).
fof(f838,plain,
( ! [X6] :
( sP1(inverse(X6))
| sP0(multiply(X6,sk_c7)) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_18 ),
inference(backward_demodulation,[],[f188,f836]) ).
fof(f443,plain,
( ~ spl21_12
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f416,f91,f165]) ).
fof(f165,plain,
( spl21_12
<=> sP9(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f416,plain,
( ~ sP9(sk_c6)
| ~ spl21_1 ),
inference(backward_demodulation,[],[f88,f93]) ).
fof(f88,plain,
~ sP9(sF11),
inference(definition_folding,[],[f44,f48]) ).
fof(f44,plain,
~ sP9(multiply(sk_c5,sk_c7)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f442,plain,
( ~ spl21_10
| ~ spl21_11
| ~ spl21_14 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| ~ spl21_10
| ~ spl21_11
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f440,f40]) ).
fof(f40,plain,
~ sP5(sk_c5),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f440,plain,
( sP5(sk_c5)
| ~ spl21_10
| ~ spl21_11
| ~ spl21_14 ),
inference(forward_demodulation,[],[f439,f404]) ).
fof(f404,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl21_11 ),
inference(backward_demodulation,[],[f82,f158]) ).
fof(f439,plain,
( sP5(inverse(sk_c3))
| ~ spl21_10
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f429,f41]) ).
fof(f41,plain,
~ sP6(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f429,plain,
( sP6(sk_c7)
| sP5(inverse(sk_c3))
| ~ spl21_10
| ~ spl21_14 ),
inference(superposition,[],[f173,f406]) ).
fof(f406,plain,
( sk_c7 = multiply(sk_c3,sk_c5)
| ~ spl21_10 ),
inference(backward_demodulation,[],[f76,f149]) ).
fof(f173,plain,
( ! [X5] :
( sP6(multiply(X5,sk_c5))
| sP5(inverse(X5)) )
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl21_14
<=> ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f400,plain,
( ~ spl21_4
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl21_4
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f37,f398]) ).
fof(f398,plain,
( sP2(sk_c6)
| ~ spl21_4
| ~ spl21_17 ),
inference(backward_demodulation,[],[f185,f107]) ).
fof(f185,plain,
( sP2(sF13)
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl21_17
<=> sP2(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f37,plain,
~ sP2(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f391,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(subsumption_resolution,[],[f389,f278]) ).
fof(f278,plain,
( ~ sP3(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f38,f277]) ).
fof(f277,plain,
( sk_c5 = sk_c7
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f268,f270]) ).
fof(f270,plain,
( sk_c7 = sk_c6
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f190,f267]) ).
fof(f267,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f254,f266]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f256,f253]) ).
fof(f253,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f245,f237]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f1,f236]) ).
fof(f236,plain,
( identity = sk_c5
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f234,f195]) ).
fof(f234,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f213,f229]) ).
fof(f229,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f225,f220]) ).
fof(f225,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c5)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4 ),
inference(superposition,[],[f204,f216]) ).
fof(f216,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f213,f194]) ).
fof(f194,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl21_2 ),
inference(backward_demodulation,[],[f47,f97]) ).
fof(f245,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,X0)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f219,f237]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f3,f216]) ).
fof(f256,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f223,f253]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl21_5
| ~ spl21_6 ),
inference(superposition,[],[f3,f220]) ).
fof(f254,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f207,f253]) ).
fof(f268,plain,
( sk_c5 = sk_c6
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f229,f266]) ).
fof(f389,plain,
( sP3(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_16 ),
inference(forward_demodulation,[],[f181,f283]) ).
fof(f283,plain,
( sk_c7 = sF12
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f102,f277]) ).
fof(f363,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(avatar_contradiction_clause,[],[f362]) ).
fof(f362,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f361,f41]) ).
fof(f361,plain,
( sP6(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(forward_demodulation,[],[f360,f253]) ).
fof(f360,plain,
( sP6(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f357,f280]) ).
fof(f280,plain,
( ~ sP5(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f40,f277]) ).
fof(f357,plain,
( sP5(sk_c7)
| sP6(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(superposition,[],[f350,f286]) ).
fof(f286,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f275,f277]) ).
fof(f275,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f193,f270]) ).
fof(f350,plain,
( ! [X5] :
( sP5(inverse(X5))
| sP6(multiply(X5,sk_c7)) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_14 ),
inference(forward_demodulation,[],[f173,f277]) ).
fof(f327,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f325,f272]) ).
fof(f272,plain,
( ~ sP8(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f43,f270]) ).
fof(f325,plain,
( sP8(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(forward_demodulation,[],[f324,f253]) ).
fof(f324,plain,
( sP8(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f321,f42]) ).
fof(f321,plain,
( sP7(sk_c7)
| sP8(multiply(sk_c7,sk_c7))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(superposition,[],[f312,f286]) ).
fof(f312,plain,
( ! [X4] :
( sP7(inverse(X4))
| sP8(multiply(X4,sk_c7)) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_13 ),
inference(forward_demodulation,[],[f170,f253]) ).
fof(f294,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_12 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_12 ),
inference(subsumption_resolution,[],[f292,f274]) ).
fof(f274,plain,
( sP9(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_12 ),
inference(backward_demodulation,[],[f167,f270]) ).
fof(f167,plain,
( sP9(sk_c6)
| ~ spl21_12 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f292,plain,
( ~ sP9(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f88,f290]) ).
fof(f290,plain,
( sk_c7 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(forward_demodulation,[],[f264,f277]) ).
fof(f264,plain,
( sk_c5 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6 ),
inference(backward_demodulation,[],[f230,f253]) ).
fof(f230,plain,
( sk_c5 = multiply(sk_c7,sF11)
| ~ spl21_2
| ~ spl21_4 ),
inference(forward_demodulation,[],[f226,f194]) ).
fof(f189,plain,
( spl21_12
| spl21_13
| spl21_14
| spl21_15
| spl21_16
| spl21_17
| spl21_18 ),
inference(avatar_split_clause,[],[f89,f187,f183,f179,f175,f172,f169,f165]) ).
fof(f89,plain,
! [X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(sF13)
| sP3(sF12)
| sP4(sF10)
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7)))
| sP9(sk_c6) ),
inference(definition_folding,[],[f46,f47,f50,f52]) ).
fof(f46,plain,
! [X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(multiply(sk_c7,sk_c5))
| sP3(inverse(sk_c6))
| sP4(multiply(sk_c6,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| sP8(multiply(sk_c7,multiply(X4,sk_c7)))
| sP9(sk_c6) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X6,X4,X5] :
( sP0(multiply(X6,sk_c6))
| sP1(inverse(X6))
| sP2(multiply(sk_c7,sk_c5))
| sP3(inverse(sk_c6))
| sP4(multiply(sk_c6,sk_c7))
| sP5(inverse(X5))
| sP6(multiply(X5,sk_c5))
| sP7(inverse(X4))
| multiply(X4,sk_c7) != X3
| sP8(multiply(sk_c7,X3))
| sP9(sk_c6) ),
inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(X5)
| sk_c7 != multiply(X5,sk_c5)
| sk_c7 != inverse(X4)
| multiply(X4,sk_c7) != X3
| sk_c6 != multiply(sk_c7,X3)
| multiply(sk_c5,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f163,plain,
( spl21_11
| spl21_6 ),
inference(avatar_split_clause,[],[f87,f115,f156]) ).
fof(f87,plain,
( sk_c7 = sF15
| sk_c5 = sF20 ),
inference(definition_folding,[],[f33,f82,f56]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f162,plain,
( spl21_11
| spl21_5 ),
inference(avatar_split_clause,[],[f86,f110,f156]) ).
fof(f86,plain,
( sk_c7 = sF14
| sk_c5 = sF20 ),
inference(definition_folding,[],[f32,f82,f54]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f161,plain,
( spl21_11
| spl21_4 ),
inference(avatar_split_clause,[],[f85,f105,f156]) ).
fof(f85,plain,
( sk_c6 = sF13
| sk_c5 = sF20 ),
inference(definition_folding,[],[f31,f82,f52]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f160,plain,
( spl21_11
| spl21_3 ),
inference(avatar_split_clause,[],[f84,f100,f156]) ).
fof(f84,plain,
( sk_c5 = sF12
| sk_c5 = sF20 ),
inference(definition_folding,[],[f30,f82,f50]) ).
fof(f30,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f159,plain,
( spl21_11
| spl21_2 ),
inference(avatar_split_clause,[],[f83,f95,f156]) ).
fof(f83,plain,
( sk_c5 = sF10
| sk_c5 = sF20 ),
inference(definition_folding,[],[f29,f82,f47]) ).
fof(f29,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f154,plain,
( spl21_10
| spl21_6 ),
inference(avatar_split_clause,[],[f81,f115,f147]) ).
fof(f81,plain,
( sk_c7 = sF15
| sk_c7 = sF19 ),
inference(definition_folding,[],[f28,f76,f56]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f153,plain,
( spl21_10
| spl21_5 ),
inference(avatar_split_clause,[],[f80,f110,f147]) ).
fof(f80,plain,
( sk_c7 = sF14
| sk_c7 = sF19 ),
inference(definition_folding,[],[f27,f76,f54]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f152,plain,
( spl21_10
| spl21_4 ),
inference(avatar_split_clause,[],[f79,f105,f147]) ).
fof(f79,plain,
( sk_c6 = sF13
| sk_c7 = sF19 ),
inference(definition_folding,[],[f26,f76,f52]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f151,plain,
( spl21_10
| spl21_3 ),
inference(avatar_split_clause,[],[f78,f100,f147]) ).
fof(f78,plain,
( sk_c5 = sF12
| sk_c7 = sF19 ),
inference(definition_folding,[],[f25,f76,f50]) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f150,plain,
( spl21_10
| spl21_2 ),
inference(avatar_split_clause,[],[f77,f95,f147]) ).
fof(f77,plain,
( sk_c5 = sF10
| sk_c7 = sF19 ),
inference(definition_folding,[],[f24,f76,f47]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f145,plain,
( spl21_9
| spl21_6 ),
inference(avatar_split_clause,[],[f75,f115,f138]) ).
fof(f75,plain,
( sk_c7 = sF15
| sk_c7 = sF18 ),
inference(definition_folding,[],[f23,f70,f56]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f144,plain,
( spl21_9
| spl21_5 ),
inference(avatar_split_clause,[],[f74,f110,f138]) ).
fof(f74,plain,
( sk_c7 = sF14
| sk_c7 = sF18 ),
inference(definition_folding,[],[f22,f70,f54]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f143,plain,
( spl21_9
| spl21_4 ),
inference(avatar_split_clause,[],[f73,f105,f138]) ).
fof(f73,plain,
( sk_c6 = sF13
| sk_c7 = sF18 ),
inference(definition_folding,[],[f21,f70,f52]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f142,plain,
( spl21_9
| spl21_3 ),
inference(avatar_split_clause,[],[f72,f100,f138]) ).
fof(f72,plain,
( sk_c5 = sF12
| sk_c7 = sF18 ),
inference(definition_folding,[],[f20,f70,f50]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f141,plain,
( spl21_9
| spl21_2 ),
inference(avatar_split_clause,[],[f71,f95,f138]) ).
fof(f71,plain,
( sk_c5 = sF10
| sk_c7 = sF18 ),
inference(definition_folding,[],[f19,f70,f47]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f136,plain,
( spl21_8
| spl21_6 ),
inference(avatar_split_clause,[],[f69,f115,f129]) ).
fof(f69,plain,
( sk_c7 = sF15
| sk_c2 = sF17 ),
inference(definition_folding,[],[f18,f64,f56]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f135,plain,
( spl21_8
| spl21_5 ),
inference(avatar_split_clause,[],[f68,f110,f129]) ).
fof(f68,plain,
( sk_c7 = sF14
| sk_c2 = sF17 ),
inference(definition_folding,[],[f17,f64,f54]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f134,plain,
( spl21_8
| spl21_4 ),
inference(avatar_split_clause,[],[f67,f105,f129]) ).
fof(f67,plain,
( sk_c6 = sF13
| sk_c2 = sF17 ),
inference(definition_folding,[],[f16,f64,f52]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f133,plain,
( spl21_8
| spl21_3 ),
inference(avatar_split_clause,[],[f66,f100,f129]) ).
fof(f66,plain,
( sk_c5 = sF12
| sk_c2 = sF17 ),
inference(definition_folding,[],[f15,f64,f50]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f132,plain,
( spl21_8
| spl21_2 ),
inference(avatar_split_clause,[],[f65,f95,f129]) ).
fof(f65,plain,
( sk_c5 = sF10
| sk_c2 = sF17 ),
inference(definition_folding,[],[f14,f64,f47]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c2 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f127,plain,
( spl21_7
| spl21_6 ),
inference(avatar_split_clause,[],[f63,f115,f120]) ).
fof(f63,plain,
( sk_c7 = sF15
| sk_c6 = sF16 ),
inference(definition_folding,[],[f13,f58,f56]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f126,plain,
( spl21_7
| spl21_5 ),
inference(avatar_split_clause,[],[f62,f110,f120]) ).
fof(f62,plain,
( sk_c7 = sF14
| sk_c6 = sF16 ),
inference(definition_folding,[],[f12,f58,f54]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f125,plain,
( spl21_7
| spl21_4 ),
inference(avatar_split_clause,[],[f61,f105,f120]) ).
fof(f61,plain,
( sk_c6 = sF13
| sk_c6 = sF16 ),
inference(definition_folding,[],[f11,f58,f52]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f124,plain,
( spl21_7
| spl21_3 ),
inference(avatar_split_clause,[],[f60,f100,f120]) ).
fof(f60,plain,
( sk_c5 = sF12
| sk_c6 = sF16 ),
inference(definition_folding,[],[f10,f58,f50]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f123,plain,
( spl21_7
| spl21_2 ),
inference(avatar_split_clause,[],[f59,f95,f120]) ).
fof(f59,plain,
( sk_c5 = sF10
| sk_c6 = sF16 ),
inference(definition_folding,[],[f9,f58,f47]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f118,plain,
( spl21_1
| spl21_6 ),
inference(avatar_split_clause,[],[f57,f115,f91]) ).
fof(f57,plain,
( sk_c7 = sF15
| sk_c6 = sF11 ),
inference(definition_folding,[],[f8,f48,f56]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f113,plain,
( spl21_1
| spl21_5 ),
inference(avatar_split_clause,[],[f55,f110,f91]) ).
fof(f55,plain,
( sk_c7 = sF14
| sk_c6 = sF11 ),
inference(definition_folding,[],[f7,f48,f54]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f108,plain,
( spl21_1
| spl21_4 ),
inference(avatar_split_clause,[],[f53,f105,f91]) ).
fof(f53,plain,
( sk_c6 = sF13
| sk_c6 = sF11 ),
inference(definition_folding,[],[f6,f48,f52]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f103,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f51,f100,f91]) ).
fof(f51,plain,
( sk_c5 = sF12
| sk_c6 = sF11 ),
inference(definition_folding,[],[f5,f48,f50]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f98,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f49,f95,f91]) ).
fof(f49,plain,
( sk_c5 = sF10
| sk_c6 = sF11 ),
inference(definition_folding,[],[f4,f48,f47]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP368-1 : TPTP v8.2.0. Released v2.5.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Sun May 19 05:30:53 EDT 2024
% 0.20/0.35 % CPUTime :
% 0.20/0.35 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.20/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74 % (15622)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.55/0.74 % (15615)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (15618)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (15622)Refutation not found, incomplete strategy% (15622)------------------------------
% 0.55/0.74 % (15622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15622)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15622)Memory used [KB]: 991
% 0.55/0.74 % (15622)Time elapsed: 0.002 s
% 0.55/0.74 % (15622)Instructions burned: 4 (million)
% 0.55/0.74 % (15617)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (15616)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.55/0.74 % (15620)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (15621)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.55/0.74 % (15619)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.55/0.74 % (15622)------------------------------
% 0.55/0.74 % (15622)------------------------------
% 0.55/0.74 % (15618)Refutation not found, incomplete strategy% (15618)------------------------------
% 0.55/0.74 % (15618)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15615)Refutation not found, incomplete strategy% (15615)------------------------------
% 0.55/0.74 % (15615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15615)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15615)Memory used [KB]: 1006
% 0.55/0.74 % (15615)Time elapsed: 0.003 s
% 0.55/0.74 % (15615)Instructions burned: 4 (million)
% 0.55/0.74 % (15618)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15618)Memory used [KB]: 988
% 0.55/0.74 % (15618)Time elapsed: 0.004 s
% 0.55/0.74 % (15618)Instructions burned: 4 (million)
% 0.55/0.74 % (15619)Refutation not found, incomplete strategy% (15619)------------------------------
% 0.55/0.74 % (15619)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74 % (15615)------------------------------
% 0.55/0.74 % (15615)------------------------------
% 0.55/0.74 % (15619)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74
% 0.55/0.74 % (15619)Memory used [KB]: 1005
% 0.55/0.74 % (15619)Time elapsed: 0.004 s
% 0.55/0.74 % (15619)Instructions burned: 4 (million)
% 0.55/0.74 % (15618)------------------------------
% 0.55/0.74 % (15618)------------------------------
% 0.55/0.74 % (15619)------------------------------
% 0.55/0.74 % (15619)------------------------------
% 0.55/0.74 % (15623)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.55/0.74 % (15624)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.55/0.74 % (15625)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.55/0.74 % (15626)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.55/0.75 % (15624)Refutation not found, incomplete strategy% (15624)------------------------------
% 0.55/0.75 % (15624)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75 % (15624)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75
% 0.55/0.75 % (15624)Memory used [KB]: 1000
% 0.55/0.75 % (15624)Time elapsed: 0.004 s
% 0.55/0.75 % (15624)Instructions burned: 5 (million)
% 0.55/0.75 % (15624)------------------------------
% 0.55/0.75 % (15624)------------------------------
% 0.55/0.75 % (15627)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.55/0.76 % (15623)Instruction limit reached!
% 0.55/0.76 % (15623)------------------------------
% 0.55/0.76 % (15623)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (15623)Termination reason: Unknown
% 0.55/0.76 % (15623)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (15623)Memory used [KB]: 1731
% 0.55/0.76 % (15623)Time elapsed: 0.018 s
% 0.55/0.76 % (15623)Instructions burned: 58 (million)
% 0.55/0.76 % (15623)------------------------------
% 0.55/0.76 % (15623)------------------------------
% 0.55/0.76 % (15620)Instruction limit reached!
% 0.55/0.76 % (15620)------------------------------
% 0.55/0.76 % (15620)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (15620)Termination reason: Unknown
% 0.55/0.76 % (15620)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (15620)Memory used [KB]: 1537
% 0.55/0.76 % (15620)Time elapsed: 0.023 s
% 0.55/0.76 % (15620)Instructions burned: 46 (million)
% 0.55/0.76 % (15620)------------------------------
% 0.55/0.76 % (15620)------------------------------
% 0.55/0.76 % (15628)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.55/0.76 % (15628)Refutation not found, incomplete strategy% (15628)------------------------------
% 0.55/0.76 % (15628)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (15628)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (15628)Memory used [KB]: 1013
% 0.55/0.76 % (15628)Time elapsed: 0.002 s
% 0.55/0.76 % (15628)Instructions burned: 4 (million)
% 0.55/0.76 % (15628)------------------------------
% 0.55/0.76 % (15628)------------------------------
% 0.64/0.76 % (15629)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.64/0.76 % (15630)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.64/0.76 % (15616)Instruction limit reached!
% 0.64/0.76 % (15616)------------------------------
% 0.64/0.76 % (15616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76 % (15616)Termination reason: Unknown
% 0.64/0.76 % (15616)Termination phase: Saturation
% 0.64/0.76
% 0.64/0.76 % (15616)Memory used [KB]: 1689
% 0.64/0.76 % (15616)Time elapsed: 0.028 s
% 0.64/0.76 % (15616)Instructions burned: 51 (million)
% 0.64/0.76 % (15616)------------------------------
% 0.64/0.76 % (15616)------------------------------
% 0.64/0.76 % (15630)Refutation not found, incomplete strategy% (15630)------------------------------
% 0.64/0.76 % (15630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.76 % (15630)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.76
% 0.64/0.76 % (15630)Memory used [KB]: 992
% 0.64/0.76 % (15630)Time elapsed: 0.002 s
% 0.64/0.76 % (15630)Instructions burned: 4 (million)
% 0.64/0.76 % (15630)------------------------------
% 0.64/0.76 % (15630)------------------------------
% 0.64/0.77 % (15632)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.64/0.77 % (15631)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.64/0.77 % (15626)Instruction limit reached!
% 0.64/0.77 % (15626)------------------------------
% 0.64/0.77 % (15626)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (15626)Termination reason: Unknown
% 0.64/0.77 % (15626)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (15626)Memory used [KB]: 1552
% 0.64/0.77 % (15626)Time elapsed: 0.027 s
% 0.64/0.77 % (15626)Instructions burned: 52 (million)
% 0.64/0.77 % (15626)------------------------------
% 0.64/0.77 % (15626)------------------------------
% 0.64/0.77 % (15631)Refutation not found, incomplete strategy% (15631)------------------------------
% 0.64/0.77 % (15631)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (15631)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (15631)Memory used [KB]: 1008
% 0.64/0.77 % (15631)Time elapsed: 0.004 s
% 0.64/0.77 % (15631)Instructions burned: 4 (million)
% 0.64/0.77 % (15631)------------------------------
% 0.64/0.77 % (15631)------------------------------
% 0.64/0.77 % (15633)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2995ds/62Mi)
% 0.64/0.77 % (15617)Instruction limit reached!
% 0.64/0.77 % (15617)------------------------------
% 0.64/0.77 % (15617)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (15617)Termination reason: Unknown
% 0.64/0.77 % (15634)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2995ds/32Mi)
% 0.64/0.77 % (15617)Termination phase: Saturation
% 0.64/0.77
% 0.64/0.77 % (15617)Memory used [KB]: 1842
% 0.64/0.77 % (15617)Time elapsed: 0.039 s
% 0.64/0.77 % (15617)Instructions burned: 79 (million)
% 0.64/0.77 % (15617)------------------------------
% 0.64/0.77 % (15617)------------------------------
% 0.64/0.77 % (15633)Refutation not found, incomplete strategy% (15633)------------------------------
% 0.64/0.77 % (15633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.77 % (15633)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.77
% 0.64/0.77 % (15633)Memory used [KB]: 992
% 0.64/0.77 % (15633)Time elapsed: 0.004 s
% 0.64/0.77 % (15633)Instructions burned: 3 (million)
% 0.64/0.78 % (15633)------------------------------
% 0.64/0.78 % (15633)------------------------------
% 0.64/0.78 % (15621)Instruction limit reached!
% 0.64/0.78 % (15621)------------------------------
% 0.64/0.78 % (15621)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (15621)Termination reason: Unknown
% 0.64/0.78 % (15621)Termination phase: Saturation
% 0.64/0.78
% 0.64/0.78 % (15621)Memory used [KB]: 1883
% 0.64/0.78 % (15621)Time elapsed: 0.041 s
% 0.64/0.78 % (15621)Instructions burned: 84 (million)
% 0.64/0.78 % (15621)------------------------------
% 0.64/0.78 % (15621)------------------------------
% 0.64/0.78 % (15636)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2995ds/1919Mi)
% 0.64/0.78 % (15637)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2995ds/55Mi)
% 0.64/0.78 % (15638)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2995ds/53Mi)
% 0.64/0.78 % (15637)Refutation not found, incomplete strategy% (15637)------------------------------
% 0.64/0.78 % (15637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.78 % (15637)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.78
% 0.64/0.78 % (15637)Memory used [KB]: 1015
% 0.64/0.78 % (15637)Time elapsed: 0.004 s
% 0.64/0.78 % (15637)Instructions burned: 5 (million)
% 0.64/0.78 % (15637)------------------------------
% 0.64/0.78 % (15637)------------------------------
% 0.64/0.79 % (15639)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2995ds/46Mi)
% 0.64/0.79 % (15639)Refutation not found, incomplete strategy% (15639)------------------------------
% 0.64/0.79 % (15639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (15639)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.79
% 0.64/0.79 % (15639)Memory used [KB]: 995
% 0.64/0.79 % (15639)Time elapsed: 0.003 s
% 0.64/0.79 % (15639)Instructions burned: 3 (million)
% 0.64/0.79 % (15639)------------------------------
% 0.64/0.79 % (15639)------------------------------
% 0.64/0.79 % (15634)Instruction limit reached!
% 0.64/0.79 % (15634)------------------------------
% 0.64/0.79 % (15634)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (15634)Termination reason: Unknown
% 0.64/0.79 % (15634)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (15634)Memory used [KB]: 1375
% 0.64/0.79 % (15634)Time elapsed: 0.018 s
% 0.64/0.79 % (15634)Instructions burned: 33 (million)
% 0.64/0.79 % (15634)------------------------------
% 0.64/0.79 % (15634)------------------------------
% 0.64/0.79 % (15632)Instruction limit reached!
% 0.64/0.79 % (15632)------------------------------
% 0.64/0.79 % (15632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.79 % (15632)Termination reason: Unknown
% 0.64/0.79 % (15632)Termination phase: Saturation
% 0.64/0.79
% 0.64/0.79 % (15632)Memory used [KB]: 2207
% 0.64/0.79 % (15632)Time elapsed: 0.027 s
% 0.64/0.79 % (15632)Instructions burned: 93 (million)
% 0.64/0.79 % (15632)------------------------------
% 0.64/0.79 % (15632)------------------------------
% 0.64/0.79 % (15640)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.64/0.79 % (15641)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.64/0.79 % (15642)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.64/0.80 % (15638)Instruction limit reached!
% 0.64/0.80 % (15638)------------------------------
% 0.64/0.80 % (15638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.80 % (15638)Termination reason: Unknown
% 0.64/0.80 % (15638)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (15638)Memory used [KB]: 1189
% 0.64/0.81 % (15638)Time elapsed: 0.026 s
% 0.64/0.81 % (15638)Instructions burned: 53 (million)
% 0.64/0.81 % (15638)------------------------------
% 0.64/0.81 % (15638)------------------------------
% 0.64/0.81 % (15643)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.64/0.81 % (15641)Instruction limit reached!
% 0.64/0.81 % (15641)------------------------------
% 0.64/0.81 % (15641)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.81 % (15641)Termination reason: Unknown
% 0.64/0.81 % (15641)Termination phase: Saturation
% 0.64/0.81
% 0.64/0.81 % (15641)Memory used [KB]: 1166
% 0.64/0.81 % (15641)Time elapsed: 0.019 s
% 0.64/0.81 % (15641)Instructions burned: 36 (million)
% 0.64/0.81 % (15641)------------------------------
% 0.64/0.81 % (15641)------------------------------
% 0.64/0.82 % (15644)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.64/0.82 % (15642)Instruction limit reached!
% 0.64/0.82 % (15642)------------------------------
% 0.64/0.82 % (15642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (15642)Termination reason: Unknown
% 0.64/0.82 % (15642)Termination phase: Saturation
% 0.64/0.82
% 0.64/0.82 % (15642)Memory used [KB]: 1479
% 0.64/0.82 % (15642)Time elapsed: 0.024 s
% 0.64/0.82 % (15642)Instructions burned: 90 (million)
% 0.64/0.82 % (15642)------------------------------
% 0.64/0.82 % (15642)------------------------------
% 0.64/0.82 % (15644)Refutation not found, incomplete strategy% (15644)------------------------------
% 0.64/0.82 % (15644)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (15644)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82
% 0.64/0.82 % (15644)Memory used [KB]: 987
% 0.64/0.82 % (15644)Time elapsed: 0.004 s
% 0.64/0.82 % (15644)Instructions burned: 4 (million)
% 0.64/0.82 % (15644)------------------------------
% 0.64/0.82 % (15644)------------------------------
% 0.64/0.82 % (15645)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.64/0.82 % (15645)Refutation not found, incomplete strategy% (15645)------------------------------
% 0.64/0.82 % (15645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.82 % (15645)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.82
% 0.64/0.82 % (15645)Memory used [KB]: 1075
% 0.64/0.82 % (15645)Time elapsed: 0.002 s
% 0.64/0.82 % (15645)Instructions burned: 4 (million)
% 0.64/0.82 % (15645)------------------------------
% 0.64/0.82 % (15645)------------------------------
% 0.64/0.82 % (15646)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.64/0.82 % (15647)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 0.64/0.84 % (15625)Instruction limit reached!
% 0.64/0.84 % (15625)------------------------------
% 0.64/0.84 % (15625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.64/0.84 % (15625)Termination reason: Unknown
% 0.64/0.84 % (15625)Termination phase: Saturation
% 0.64/0.84
% 0.64/0.84 % (15625)Memory used [KB]: 3350
% 0.64/0.84 % (15625)Time elapsed: 0.096 s
% 0.64/0.84 % (15625)Instructions burned: 208 (million)
% 0.64/0.84 % (15625)------------------------------
% 0.64/0.84 % (15625)------------------------------
% 0.64/0.84 % (15648)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 1.04/0.84 % (15640)Instruction limit reached!
% 1.04/0.84 % (15640)------------------------------
% 1.04/0.84 % (15640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.84 % (15640)Termination reason: Unknown
% 1.04/0.84 % (15640)Termination phase: Saturation
% 1.04/0.84
% 1.04/0.84 % (15640)Memory used [KB]: 2143
% 1.04/0.84 % (15640)Time elapsed: 0.050 s
% 1.04/0.84 % (15640)Instructions burned: 103 (million)
% 1.04/0.84 % (15640)------------------------------
% 1.04/0.84 % (15640)------------------------------
% 1.04/0.84 % (15647)First to succeed.
% 1.04/0.84 % (15646)Instruction limit reached!
% 1.04/0.84 % (15646)------------------------------
% 1.04/0.84 % (15646)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.84 % (15646)Termination reason: Unknown
% 1.04/0.84 % (15646)Termination phase: Saturation
% 1.04/0.84
% 1.04/0.84 % (15646)Memory used [KB]: 1622
% 1.04/0.84 % (15646)Time elapsed: 0.023 s
% 1.04/0.84 % (15646)Instructions burned: 40 (million)
% 1.04/0.84 % (15646)------------------------------
% 1.04/0.84 % (15646)------------------------------
% 1.04/0.85 % (15649)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 1.04/0.85 % (15647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15614"
% 1.04/0.85 % (15647)Refutation found. Thanks to Tanya!
% 1.04/0.85 % SZS status Unsatisfiable for theBenchmark
% 1.04/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 1.04/0.85 % (15647)------------------------------
% 1.04/0.85 % (15647)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.04/0.85 % (15647)Termination reason: Refutation
% 1.04/0.85
% 1.04/0.85 % (15647)Memory used [KB]: 1334
% 1.04/0.85 % (15647)Time elapsed: 0.022 s
% 1.04/0.85 % (15647)Instructions burned: 68 (million)
% 1.04/0.85 % (15614)Success in time 0.473 s
% 1.04/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------