TSTP Solution File: GRP243-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP243-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n002.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 : Wed Aug 31 16:15:00 EDT 2022
% Result : Unsatisfiable 2.05s 0.63s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 77
% Syntax : Number of formulae : 333 ( 30 unt; 0 def)
% Number of atoms : 941 ( 399 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1145 ( 537 ~; 582 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 31 ( 31 usr; 29 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1552,plain,
$false,
inference(avatar_sat_refutation,[],[f157,f176,f181,f205,f211,f213,f224,f227,f228,f233,f234,f235,f236,f237,f253,f255,f256,f257,f259,f261,f263,f267,f269,f270,f273,f275,f277,f279,f280,f288,f290,f291,f315,f373,f378,f396,f459,f504,f534,f536,f556,f623,f687,f704,f777,f890,f1077,f1097,f1170,f1389,f1480,f1512,f1550]) ).
fof(f1550,plain,
( ~ spl16_9
| ~ spl16_14
| spl16_31 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1549,plain,
( $false
| ~ spl16_9
| ~ spl16_14
| spl16_31 ),
inference(subsumption_resolution,[],[f1548,f368]) ).
fof(f368,plain,
( identity != sk_c11
| spl16_31 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl16_31
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f1548,plain,
( identity = sk_c11
| ~ spl16_9
| ~ spl16_14 ),
inference(forward_demodulation,[],[f1546,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1546,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c9)
| ~ spl16_9
| ~ spl16_14 ),
inference(superposition,[],[f392,f1303]) ).
fof(f1303,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl16_9
| ~ spl16_14 ),
inference(forward_demodulation,[],[f815,f191]) ).
fof(f191,plain,
( sk_c9 = sF8
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f189,plain,
( spl16_9
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f815,plain,
( sk_c9 = multiply(sF8,sk_c11)
| ~ spl16_14 ),
inference(forward_demodulation,[],[f443,f218]) ).
fof(f218,plain,
( sk_c11 = sF10
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl16_14
<=> sk_c11 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f443,plain,
sk_c9 = multiply(sF8,sF10),
inference(forward_demodulation,[],[f428,f82]) ).
fof(f82,plain,
inverse(sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f428,plain,
sk_c9 = multiply(inverse(sk_c8),sF10),
inference(superposition,[],[f392,f85]) ).
fof(f85,plain,
multiply(sk_c8,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f392,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f381,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f381,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
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(f1512,plain,
( ~ spl16_7
| ~ spl16_13
| ~ spl16_20 ),
inference(avatar_split_clause,[],[f1511,f248,f207,f178]) ).
fof(f178,plain,
( spl16_7
<=> sk_c12 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f207,plain,
( spl16_13
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_13])]) ).
fof(f248,plain,
( spl16_20
<=> ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(X3,sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f1511,plain,
( sk_c12 != sF11
| ~ spl16_13
| ~ spl16_20 ),
inference(superposition,[],[f1509,f89]) ).
fof(f89,plain,
inverse(sk_c1) = sF11,
introduced(function_definition,[]) ).
fof(f1509,plain,
( sk_c12 != inverse(sk_c1)
| ~ spl16_13
| ~ spl16_20 ),
inference(trivial_inequality_removal,[],[f1506]) ).
fof(f1506,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c1)
| ~ spl16_13
| ~ spl16_20 ),
inference(superposition,[],[f249,f296]) ).
fof(f296,plain,
( multiply(sk_c1,sk_c12) = sk_c11
| ~ spl16_13 ),
inference(backward_demodulation,[],[f76,f209]) ).
fof(f209,plain,
( sk_c11 = sF4
| ~ spl16_13 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f76,plain,
multiply(sk_c1,sk_c12) = sF4,
introduced(function_definition,[]) ).
fof(f249,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f1480,plain,
( ~ spl16_6
| ~ spl16_17
| ~ spl16_27
| ~ spl16_33
| ~ spl16_37 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| ~ spl16_6
| ~ spl16_17
| ~ spl16_27
| ~ spl16_33
| ~ spl16_37 ),
inference(subsumption_resolution,[],[f1476,f376]) ).
fof(f376,plain,
( sk_c11 = inverse(sk_c7)
| ~ spl16_33 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f375,plain,
( spl16_33
<=> sk_c11 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_33])]) ).
fof(f1476,plain,
( sk_c11 != inverse(sk_c7)
| ~ spl16_6
| ~ spl16_17
| ~ spl16_27
| ~ spl16_37 ),
inference(trivial_inequality_removal,[],[f1473]) ).
fof(f1473,plain,
( identity != identity
| sk_c11 != inverse(sk_c7)
| ~ spl16_6
| ~ spl16_17
| ~ spl16_27
| ~ spl16_37 ),
inference(superposition,[],[f1390,f1332]) ).
fof(f1332,plain,
( identity = multiply(sk_c7,sk_c11)
| ~ spl16_6
| ~ spl16_37 ),
inference(backward_demodulation,[],[f607,f175]) ).
fof(f175,plain,
( sk_c11 = sF6
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl16_6
<=> sk_c11 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f607,plain,
( identity = multiply(sk_c7,sF6)
| ~ spl16_37 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl16_37
<=> identity = multiply(sk_c7,sF6) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_37])]) ).
fof(f1390,plain,
( ! [X4] :
( identity != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl16_17
| ~ spl16_27 ),
inference(forward_demodulation,[],[f240,f341]) ).
fof(f341,plain,
( identity = sk_c10
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl16_27
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f240,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl16_17
<=> ! [X4] :
( sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f1389,plain,
( ~ spl16_1
| ~ spl16_4
| ~ spl16_21 ),
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1388,plain,
( $false
| ~ spl16_1
| ~ spl16_4
| ~ spl16_21 ),
inference(subsumption_resolution,[],[f1382,f1091]) ).
fof(f1091,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f73,f165]) ).
fof(f165,plain,
( sk_c12 = sF2
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl16_4
<=> sk_c12 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f73,plain,
inverse(sk_c6) = sF2,
introduced(function_definition,[]) ).
fof(f1382,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl16_1
| ~ spl16_21 ),
inference(trivial_inequality_removal,[],[f1379]) ).
fof(f1379,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c6)
| ~ spl16_1
| ~ spl16_21 ),
inference(superposition,[],[f252,f797]) ).
fof(f797,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl16_1 ),
inference(forward_demodulation,[],[f91,f152]) ).
fof(f152,plain,
( sk_c12 = sF12
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl16_1
<=> sk_c12 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f91,plain,
multiply(sk_c6,sk_c11) = sF12,
introduced(function_definition,[]) ).
fof(f252,plain,
( ! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8) )
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl16_21
<=> ! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f1170,plain,
( ~ spl16_1
| ~ spl16_4
| ~ spl16_20
| ~ spl16_31 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl16_1
| ~ spl16_4
| ~ spl16_20
| ~ spl16_31 ),
inference(subsumption_resolution,[],[f1164,f1160]) ).
fof(f1160,plain,
( sk_c12 != inverse(sk_c12)
| ~ spl16_1
| ~ spl16_4
| ~ spl16_20
| ~ spl16_31 ),
inference(trivial_inequality_removal,[],[f1157]) ).
fof(f1157,plain,
( sk_c12 != inverse(sk_c12)
| identity != identity
| ~ spl16_1
| ~ spl16_4
| ~ spl16_20
| ~ spl16_31 ),
inference(superposition,[],[f1099,f1095]) ).
fof(f1095,plain,
( identity = multiply(sk_c12,sk_c12)
| ~ spl16_1
| ~ spl16_4
| ~ spl16_31 ),
inference(backward_demodulation,[],[f1003,f165]) ).
fof(f1003,plain,
( identity = multiply(sF2,sk_c12)
| ~ spl16_1
| ~ spl16_31 ),
inference(backward_demodulation,[],[f808,f367]) ).
fof(f367,plain,
( identity = sk_c11
| ~ spl16_31 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f808,plain,
( sk_c11 = multiply(sF2,sk_c12)
| ~ spl16_1 ),
inference(forward_demodulation,[],[f440,f152]) ).
fof(f440,plain,
sk_c11 = multiply(sF2,sF12),
inference(forward_demodulation,[],[f426,f73]) ).
fof(f426,plain,
sk_c11 = multiply(inverse(sk_c6),sF12),
inference(superposition,[],[f392,f91]) ).
fof(f1099,plain,
( ! [X3] :
( identity != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl16_20
| ~ spl16_31 ),
inference(forward_demodulation,[],[f249,f367]) ).
fof(f1164,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl16_1
| ~ spl16_4
| ~ spl16_31 ),
inference(backward_demodulation,[],[f1091,f1162]) ).
fof(f1162,plain,
( sk_c12 = sk_c6
| ~ spl16_1
| ~ spl16_4
| ~ spl16_31 ),
inference(backward_demodulation,[],[f1093,f1158]) ).
fof(f1158,plain,
( sk_c12 = multiply(inverse(sk_c12),identity)
| ~ spl16_1
| ~ spl16_4
| ~ spl16_31 ),
inference(superposition,[],[f392,f1095]) ).
fof(f1093,plain,
( sk_c6 = multiply(inverse(sk_c12),identity)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f435,f165]) ).
fof(f435,plain,
sk_c6 = multiply(inverse(sF2),identity),
inference(superposition,[],[f392,f302]) ).
fof(f302,plain,
identity = multiply(sF2,sk_c6),
inference(superposition,[],[f2,f73]) ).
fof(f1097,plain,
( ~ spl16_1
| ~ spl16_4
| ~ spl16_21
| ~ spl16_31 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1096,plain,
( $false
| ~ spl16_1
| ~ spl16_4
| ~ spl16_21
| ~ spl16_31 ),
inference(subsumption_resolution,[],[f1091,f1074]) ).
fof(f1074,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl16_1
| ~ spl16_21
| ~ spl16_31 ),
inference(trivial_inequality_removal,[],[f1072]) ).
fof(f1072,plain,
( sk_c12 != inverse(sk_c6)
| sk_c12 != sk_c12
| ~ spl16_1
| ~ spl16_21
| ~ spl16_31 ),
inference(superposition,[],[f1068,f1002]) ).
fof(f1002,plain,
( sk_c12 = multiply(sk_c6,identity)
| ~ spl16_1
| ~ spl16_31 ),
inference(backward_demodulation,[],[f797,f367]) ).
fof(f1068,plain,
( ! [X8] :
( sk_c12 != multiply(X8,identity)
| sk_c12 != inverse(X8) )
| ~ spl16_21
| ~ spl16_31 ),
inference(forward_demodulation,[],[f252,f367]) ).
fof(f1077,plain,
( ~ spl16_2
| ~ spl16_10
| ~ spl16_21
| ~ spl16_31 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl16_2
| ~ spl16_10
| ~ spl16_21
| ~ spl16_31 ),
inference(subsumption_resolution,[],[f1075,f297]) ).
fof(f297,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl16_10 ),
inference(backward_demodulation,[],[f83,f195]) ).
fof(f195,plain,
( sk_c12 = sF9
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl16_10
<=> sk_c12 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f83,plain,
inverse(sk_c3) = sF9,
introduced(function_definition,[]) ).
fof(f1075,plain,
( sk_c12 != inverse(sk_c3)
| ~ spl16_2
| ~ spl16_21
| ~ spl16_31 ),
inference(trivial_inequality_removal,[],[f1073]) ).
fof(f1073,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c3)
| ~ spl16_2
| ~ spl16_21
| ~ spl16_31 ),
inference(superposition,[],[f1068,f998]) ).
fof(f998,plain,
( sk_c12 = multiply(sk_c3,identity)
| ~ spl16_2
| ~ spl16_31 ),
inference(backward_demodulation,[],[f299,f367]) ).
fof(f299,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl16_2 ),
inference(backward_demodulation,[],[f74,f156]) ).
fof(f156,plain,
( sk_c12 = sF3
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl16_2
<=> sk_c12 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f74,plain,
multiply(sk_c3,sk_c11) = sF3,
introduced(function_definition,[]) ).
fof(f890,plain,
( ~ spl16_8
| ~ spl16_9
| ~ spl16_14
| ~ spl16_19 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl16_8
| ~ spl16_9
| ~ spl16_14
| ~ spl16_19 ),
inference(subsumption_resolution,[],[f888,f822]) ).
fof(f822,plain,
( sk_c11 = multiply(sk_c8,sk_c9)
| ~ spl16_14 ),
inference(forward_demodulation,[],[f85,f218]) ).
fof(f888,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl16_8
| ~ spl16_9
| ~ spl16_19 ),
inference(subsumption_resolution,[],[f873,f829]) ).
fof(f829,plain,
( sk_c11 = multiply(sk_c9,sk_c10)
| ~ spl16_8 ),
inference(backward_demodulation,[],[f77,f185]) ).
fof(f185,plain,
( sk_c11 = sF5
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl16_8
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f77,plain,
multiply(sk_c9,sk_c10) = sF5,
introduced(function_definition,[]) ).
fof(f873,plain,
( sk_c11 != multiply(sk_c9,sk_c10)
| sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl16_9
| ~ spl16_19 ),
inference(superposition,[],[f246,f636]) ).
fof(f636,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl16_9 ),
inference(backward_demodulation,[],[f82,f191]) ).
fof(f246,plain,
( ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl16_19
<=> ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f777,plain,
( spl16_27
| ~ spl16_12
| ~ spl16_31
| ~ spl16_33 ),
inference(avatar_split_clause,[],[f776,f375,f366,f202,f340]) ).
fof(f202,plain,
( spl16_12
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f776,plain,
( identity = sk_c10
| ~ spl16_12
| ~ spl16_31
| ~ spl16_33 ),
inference(backward_demodulation,[],[f752,f775]) ).
fof(f775,plain,
( identity = sF0
| ~ spl16_12
| ~ spl16_31 ),
inference(forward_demodulation,[],[f204,f367]) ).
fof(f204,plain,
( sk_c11 = sF0
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f752,plain,
( sk_c10 = sF0
| ~ spl16_31
| ~ spl16_33 ),
inference(forward_demodulation,[],[f751,f1]) ).
fof(f751,plain,
( multiply(identity,sk_c10) = sF0
| ~ spl16_31
| ~ spl16_33 ),
inference(forward_demodulation,[],[f70,f659]) ).
fof(f659,plain,
( identity = sk_c7
| ~ spl16_31
| ~ spl16_33 ),
inference(forward_demodulation,[],[f656,f2]) ).
fof(f656,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl16_31
| ~ spl16_33 ),
inference(backward_demodulation,[],[f436,f654]) ).
fof(f654,plain,
( identity = sF6
| ~ spl16_31
| ~ spl16_33 ),
inference(backward_demodulation,[],[f79,f653]) ).
fof(f653,plain,
( identity = inverse(sk_c7)
| ~ spl16_31
| ~ spl16_33 ),
inference(forward_demodulation,[],[f376,f367]) ).
fof(f79,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f436,plain,
sk_c7 = multiply(inverse(sF6),identity),
inference(superposition,[],[f392,f303]) ).
fof(f303,plain,
identity = multiply(sF6,sk_c7),
inference(superposition,[],[f2,f79]) ).
fof(f70,plain,
multiply(sk_c7,sk_c10) = sF0,
introduced(function_definition,[]) ).
fof(f704,plain,
( spl16_1
| ~ spl16_2
| ~ spl16_4
| ~ spl16_7
| ~ spl16_10
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f703,f366,f193,f178,f163,f154,f150]) ).
fof(f703,plain,
( sk_c12 = sF12
| ~ spl16_2
| ~ spl16_4
| ~ spl16_7
| ~ spl16_10
| ~ spl16_31 ),
inference(forward_demodulation,[],[f696,f493]) ).
fof(f493,plain,
( sk_c12 = multiply(sk_c1,identity)
| ~ spl16_2
| ~ spl16_7
| ~ spl16_10
| ~ spl16_31 ),
inference(backward_demodulation,[],[f451,f367]) ).
fof(f451,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl16_2
| ~ spl16_7
| ~ spl16_10 ),
inference(backward_demodulation,[],[f299,f447]) ).
fof(f447,plain,
( sk_c1 = sk_c3
| ~ spl16_7
| ~ spl16_10 ),
inference(forward_demodulation,[],[f424,f423]) ).
fof(f423,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl16_7 ),
inference(superposition,[],[f392,f301]) ).
fof(f301,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl16_7 ),
inference(superposition,[],[f2,f294]) ).
fof(f294,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl16_7 ),
inference(backward_demodulation,[],[f89,f180]) ).
fof(f180,plain,
( sk_c12 = sF11
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f424,plain,
( sk_c3 = multiply(inverse(sk_c12),identity)
| ~ spl16_10 ),
inference(superposition,[],[f392,f306]) ).
fof(f306,plain,
( identity = multiply(sk_c12,sk_c3)
| ~ spl16_10 ),
inference(superposition,[],[f2,f297]) ).
fof(f696,plain,
( sF12 = multiply(sk_c1,identity)
| ~ spl16_4
| ~ spl16_7
| ~ spl16_31 ),
inference(backward_demodulation,[],[f460,f695]) ).
fof(f695,plain,
( sk_c1 = sk_c6
| ~ spl16_4
| ~ spl16_7 ),
inference(forward_demodulation,[],[f691,f423]) ).
fof(f691,plain,
( sk_c6 = multiply(inverse(sk_c12),identity)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f435,f165]) ).
fof(f460,plain,
( sF12 = multiply(sk_c6,identity)
| ~ spl16_31 ),
inference(backward_demodulation,[],[f91,f367]) ).
fof(f687,plain,
( ~ spl16_31
| ~ spl16_33
| spl16_37 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl16_31
| ~ spl16_33
| spl16_37 ),
inference(subsumption_resolution,[],[f685,f1]) ).
fof(f685,plain,
( identity != multiply(identity,identity)
| ~ spl16_31
| ~ spl16_33
| spl16_37 ),
inference(forward_demodulation,[],[f684,f659]) ).
fof(f684,plain,
( identity != multiply(sk_c7,identity)
| ~ spl16_31
| ~ spl16_33
| spl16_37 ),
inference(forward_demodulation,[],[f608,f654]) ).
fof(f608,plain,
( identity != multiply(sk_c7,sF6)
| spl16_37 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f623,plain,
( ~ spl16_16
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f622,plain,
( $false
| ~ spl16_16
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(subsumption_resolution,[],[f621,f1]) ).
fof(f621,plain,
( identity != multiply(identity,identity)
| ~ spl16_16
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(forward_demodulation,[],[f589,f497]) ).
fof(f497,plain,
( identity = inverse(identity)
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f472,f496]) ).
fof(f496,plain,
( identity = sk_c2
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f485,f2]) ).
fof(f485,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f425,f367]) ).
fof(f425,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl16_16 ),
inference(superposition,[],[f392,f305]) ).
fof(f305,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl16_16 ),
inference(superposition,[],[f2,f298]) ).
fof(f298,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl16_16 ),
inference(backward_demodulation,[],[f80,f232]) ).
fof(f232,plain,
( sk_c11 = sF7
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl16_16
<=> sk_c11 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f80,plain,
inverse(sk_c2) = sF7,
introduced(function_definition,[]) ).
fof(f472,plain,
( identity = inverse(sk_c2)
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f298,f367]) ).
fof(f589,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(trivial_inequality_removal,[],[f588]) ).
fof(f588,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(superposition,[],[f553,f2]) ).
fof(f553,plain,
( ! [X6] :
( identity != multiply(inverse(X6),identity)
| identity != multiply(X6,inverse(X6)) )
| ~ spl16_19
| ~ spl16_27
| ~ spl16_31 ),
inference(backward_demodulation,[],[f543,f341]) ).
fof(f543,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c10)
| identity != multiply(X6,inverse(X6)) )
| ~ spl16_19
| ~ spl16_31 ),
inference(forward_demodulation,[],[f542,f367]) ).
fof(f542,plain,
( ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| identity != multiply(X6,inverse(X6)) )
| ~ spl16_19
| ~ spl16_31 ),
inference(forward_demodulation,[],[f246,f367]) ).
fof(f556,plain,
( ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31
| spl16_32 ),
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f555,plain,
( $false
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31
| spl16_32 ),
inference(subsumption_resolution,[],[f554,f497]) ).
fof(f554,plain,
( identity != inverse(identity)
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31
| spl16_32 ),
inference(forward_demodulation,[],[f518,f525]) ).
fof(f525,plain,
( identity = sk_c5
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f487,f522]) ).
fof(f522,plain,
( ! [X16] : multiply(sk_c5,X16) = X16
| ~ spl16_5
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f505,f521]) ).
fof(f521,plain,
( ! [X13] : multiply(sk_c10,X13) = X13
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f520,f1]) ).
fof(f520,plain,
( ! [X13] : multiply(sk_c10,X13) = multiply(identity,X13)
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f519,f496]) ).
fof(f519,plain,
( ! [X13] : multiply(sk_c10,X13) = multiply(sk_c2,X13)
| ~ spl16_11
| ~ spl16_31 ),
inference(forward_demodulation,[],[f480,f1]) ).
fof(f480,plain,
( ! [X13] : multiply(sk_c10,X13) = multiply(sk_c2,multiply(identity,X13))
| ~ spl16_11
| ~ spl16_31 ),
inference(backward_demodulation,[],[f387,f367]) ).
fof(f387,plain,
( ! [X13] : multiply(sk_c10,X13) = multiply(sk_c2,multiply(sk_c11,X13))
| ~ spl16_11 ),
inference(superposition,[],[f3,f295]) ).
fof(f295,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl16_11 ),
inference(backward_demodulation,[],[f71,f200]) ).
fof(f200,plain,
( sk_c10 = sF1
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl16_11
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f71,plain,
multiply(sk_c2,sk_c11) = sF1,
introduced(function_definition,[]) ).
fof(f505,plain,
( ! [X16] : multiply(sk_c5,multiply(sk_c10,X16)) = X16
| ~ spl16_5
| ~ spl16_31 ),
inference(forward_demodulation,[],[f482,f1]) ).
fof(f482,plain,
( ! [X16] : multiply(identity,X16) = multiply(sk_c5,multiply(sk_c10,X16))
| ~ spl16_5
| ~ spl16_31 ),
inference(backward_demodulation,[],[f390,f367]) ).
fof(f390,plain,
( ! [X16] : multiply(sk_c11,X16) = multiply(sk_c5,multiply(sk_c10,X16))
| ~ spl16_5 ),
inference(superposition,[],[f3,f293]) ).
fof(f293,plain,
( sk_c11 = multiply(sk_c5,sk_c10)
| ~ spl16_5 ),
inference(backward_demodulation,[],[f103,f170]) ).
fof(f170,plain,
( sk_c11 = sF15
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl16_5
<=> sk_c11 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f103,plain,
multiply(sk_c5,sk_c10) = sF15,
introduced(function_definition,[]) ).
fof(f487,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl16_3
| ~ spl16_15
| ~ spl16_31 ),
inference(backward_demodulation,[],[f439,f367]) ).
fof(f439,plain,
( sk_c5 = multiply(sk_c5,sk_c11)
| ~ spl16_3
| ~ spl16_15 ),
inference(forward_demodulation,[],[f432,f300]) ).
fof(f300,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl16_15 ),
inference(backward_demodulation,[],[f95,f223]) ).
fof(f223,plain,
( sk_c5 = sF13
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl16_15
<=> sk_c5 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f95,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[]) ).
fof(f432,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c11)
| ~ spl16_3 ),
inference(superposition,[],[f392,f292]) ).
fof(f292,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl16_3 ),
inference(backward_demodulation,[],[f99,f161]) ).
fof(f161,plain,
( sk_c11 = sF14
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl16_3
<=> sk_c11 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f99,plain,
multiply(sk_c4,sk_c5) = sF14,
introduced(function_definition,[]) ).
fof(f518,plain,
( identity != inverse(sk_c5)
| ~ spl16_5
| ~ spl16_15
| ~ spl16_31
| spl16_32 ),
inference(backward_demodulation,[],[f476,f517]) ).
fof(f517,plain,
( sk_c5 = inverse(sk_c10)
| ~ spl16_5
| ~ spl16_15
| ~ spl16_31 ),
inference(backward_demodulation,[],[f300,f513]) ).
fof(f513,plain,
( sk_c10 = sk_c4
| ~ spl16_5
| ~ spl16_15
| ~ spl16_31 ),
inference(backward_demodulation,[],[f434,f486]) ).
fof(f486,plain,
( sk_c10 = multiply(inverse(sk_c5),identity)
| ~ spl16_5
| ~ spl16_31 ),
inference(backward_demodulation,[],[f433,f367]) ).
fof(f433,plain,
( sk_c10 = multiply(inverse(sk_c5),sk_c11)
| ~ spl16_5 ),
inference(superposition,[],[f392,f293]) ).
fof(f434,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl16_15 ),
inference(superposition,[],[f392,f307]) ).
fof(f307,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl16_15 ),
inference(superposition,[],[f2,f300]) ).
fof(f476,plain,
( identity != inverse(inverse(sk_c10))
| ~ spl16_31
| spl16_32 ),
inference(backward_demodulation,[],[f372,f367]) ).
fof(f372,plain,
( sk_c11 != inverse(inverse(sk_c10))
| spl16_32 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl16_32
<=> sk_c11 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f536,plain,
( spl16_27
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f535,f366,f230,f221,f198,f168,f159,f340]) ).
fof(f535,plain,
( identity = sk_c10
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f529,f2]) ).
fof(f529,plain,
( sk_c10 = multiply(inverse(identity),identity)
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_31 ),
inference(backward_demodulation,[],[f486,f525]) ).
fof(f534,plain,
( ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_18
| ~ spl16_31 ),
inference(avatar_contradiction_clause,[],[f533]) ).
fof(f533,plain,
( $false
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_18
| ~ spl16_31 ),
inference(subsumption_resolution,[],[f528,f497]) ).
fof(f528,plain,
( identity != inverse(identity)
| ~ spl16_3
| ~ spl16_5
| ~ spl16_11
| ~ spl16_15
| ~ spl16_16
| ~ spl16_18
| ~ spl16_31 ),
inference(backward_demodulation,[],[f475,f525]) ).
fof(f475,plain,
( identity != inverse(sk_c5)
| ~ spl16_5
| ~ spl16_18
| ~ spl16_31 ),
inference(backward_demodulation,[],[f358,f367]) ).
fof(f358,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl16_5
| ~ spl16_18 ),
inference(trivial_inequality_removal,[],[f357]) ).
fof(f357,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c5)
| ~ spl16_5
| ~ spl16_18 ),
inference(superposition,[],[f243,f293]) ).
fof(f243,plain,
( ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) )
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl16_18
<=> ! [X9] :
( sk_c11 != multiply(X9,sk_c10)
| sk_c11 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f504,plain,
( spl16_27
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(avatar_split_clause,[],[f503,f366,f230,f198,f340]) ).
fof(f503,plain,
( identity = sk_c10
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f502,f1]) ).
fof(f502,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl16_11
| ~ spl16_16
| ~ spl16_31 ),
inference(forward_demodulation,[],[f470,f496]) ).
fof(f470,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl16_11
| ~ spl16_31 ),
inference(backward_demodulation,[],[f295,f367]) ).
fof(f459,plain,
( spl16_31
| ~ spl16_3
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f458,f221,f159,f366]) ).
fof(f458,plain,
( identity = sk_c11
| ~ spl16_3
| ~ spl16_15 ),
inference(forward_demodulation,[],[f456,f2]) ).
fof(f456,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c5)
| ~ spl16_3
| ~ spl16_15 ),
inference(superposition,[],[f392,f439]) ).
fof(f396,plain,
( ~ spl16_6
| spl16_33 ),
inference(avatar_split_clause,[],[f395,f375,f173]) ).
fof(f395,plain,
( sk_c11 != sF6
| spl16_33 ),
inference(superposition,[],[f377,f79]) ).
fof(f377,plain,
( sk_c11 != inverse(sk_c7)
| spl16_33 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f378,plain,
( ~ spl16_33
| ~ spl16_12
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f355,f242,f202,f375]) ).
fof(f355,plain,
( sk_c11 != sF0
| sk_c11 != inverse(sk_c7)
| ~ spl16_18 ),
inference(superposition,[],[f243,f70]) ).
fof(f373,plain,
( ~ spl16_31
| ~ spl16_32
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f354,f242,f370,f366]) ).
fof(f354,plain,
( sk_c11 != inverse(inverse(sk_c10))
| identity != sk_c11
| ~ spl16_18 ),
inference(superposition,[],[f243,f2]) ).
fof(f315,plain,
( ~ spl16_11
| ~ spl16_16
| ~ spl16_17 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| ~ spl16_11
| ~ spl16_16
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f313,f298]) ).
fof(f313,plain,
( sk_c11 != inverse(sk_c2)
| ~ spl16_11
| ~ spl16_17 ),
inference(trivial_inequality_removal,[],[f311]) ).
fof(f311,plain,
( sk_c11 != inverse(sk_c2)
| sk_c10 != sk_c10
| ~ spl16_11
| ~ spl16_17 ),
inference(superposition,[],[f240,f295]) ).
fof(f291,plain,
( spl16_16
| spl16_12 ),
inference(avatar_split_clause,[],[f130,f202,f230]) ).
fof(f130,plain,
( sk_c11 = sF0
| sk_c11 = sF7 ),
inference(definition_folding,[],[f28,f70,f80]) ).
fof(f28,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f290,plain,
( spl16_3
| spl16_12 ),
inference(avatar_split_clause,[],[f114,f202,f159]) ).
fof(f114,plain,
( sk_c11 = sF0
| sk_c11 = sF14 ),
inference(definition_folding,[],[f49,f70,f99]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f288,plain,
( spl16_4
| spl16_16 ),
inference(avatar_split_clause,[],[f139,f230,f163]) ).
fof(f139,plain,
( sk_c11 = sF7
| sk_c12 = sF2 ),
inference(definition_folding,[],[f25,f80,f73]) ).
fof(f25,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f280,plain,
( spl16_10
| spl16_1 ),
inference(avatar_split_clause,[],[f141,f150,f193]) ).
fof(f141,plain,
( sk_c12 = sF12
| sk_c12 = sF9 ),
inference(definition_folding,[],[f33,f91,f83]) ).
fof(f33,axiom,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f279,plain,
( spl16_7
| spl16_4 ),
inference(avatar_split_clause,[],[f140,f163,f178]) ).
fof(f140,plain,
( sk_c12 = sF2
| sk_c12 = sF11 ),
inference(definition_folding,[],[f11,f73,f89]) ).
fof(f11,axiom,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f277,plain,
( spl16_6
| spl16_16 ),
inference(avatar_split_clause,[],[f81,f230,f173]) ).
fof(f81,plain,
( sk_c11 = sF7
| sk_c11 = sF6 ),
inference(definition_folding,[],[f27,f80,f79]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f275,plain,
( spl16_12
| spl16_5 ),
inference(avatar_split_clause,[],[f146,f168,f202]) ).
fof(f146,plain,
( sk_c11 = sF15
| sk_c11 = sF0 ),
inference(definition_folding,[],[f63,f103,f70]) ).
fof(f63,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f273,plain,
( spl16_6
| spl16_10 ),
inference(avatar_split_clause,[],[f132,f193,f173]) ).
fof(f132,plain,
( sk_c12 = sF9
| sk_c11 = sF6 ),
inference(definition_folding,[],[f34,f83,f79]) ).
fof(f34,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f270,plain,
( spl16_8
| spl16_16 ),
inference(avatar_split_clause,[],[f123,f230,f183]) ).
fof(f123,plain,
( sk_c11 = sF7
| sk_c11 = sF5 ),
inference(definition_folding,[],[f31,f80,f77]) ).
fof(f31,axiom,
( sk_c11 = multiply(sk_c9,sk_c10)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f269,plain,
( spl16_7
| spl16_1 ),
inference(avatar_split_clause,[],[f127,f150,f178]) ).
fof(f127,plain,
( sk_c12 = sF12
| sk_c12 = sF11 ),
inference(definition_folding,[],[f12,f89,f91]) ).
fof(f12,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f267,plain,
( spl16_13
| spl16_1 ),
inference(avatar_split_clause,[],[f128,f150,f207]) ).
fof(f128,plain,
( sk_c12 = sF12
| sk_c11 = sF4 ),
inference(definition_folding,[],[f5,f91,f76]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f263,plain,
( spl16_16
| spl16_9 ),
inference(avatar_split_clause,[],[f93,f189,f230]) ).
fof(f93,plain,
( sk_c9 = sF8
| sk_c11 = sF7 ),
inference(definition_folding,[],[f30,f82,f80]) ).
fof(f30,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f261,plain,
( spl16_9
| spl16_15 ),
inference(avatar_split_clause,[],[f96,f221,f189]) ).
fof(f96,plain,
( sk_c5 = sF13
| sk_c9 = sF8 ),
inference(definition_folding,[],[f58,f82,f95]) ).
fof(f58,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f259,plain,
( spl16_2
| spl16_6 ),
inference(avatar_split_clause,[],[f87,f173,f154]) ).
fof(f87,plain,
( sk_c11 = sF6
| sk_c12 = sF3 ),
inference(definition_folding,[],[f41,f79,f74]) ).
fof(f41,axiom,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f257,plain,
( spl16_12
| spl16_15 ),
inference(avatar_split_clause,[],[f134,f221,f202]) ).
fof(f134,plain,
( sk_c5 = sF13
| sk_c11 = sF0 ),
inference(definition_folding,[],[f56,f95,f70]) ).
fof(f56,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f256,plain,
( spl16_3
| spl16_14 ),
inference(avatar_split_clause,[],[f144,f216,f159]) ).
fof(f144,plain,
( sk_c11 = sF10
| sk_c11 = sF14 ),
inference(definition_folding,[],[f50,f99,f85]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f255,plain,
( spl16_13
| spl16_6 ),
inference(avatar_split_clause,[],[f119,f173,f207]) ).
fof(f119,plain,
( sk_c11 = sF6
| sk_c11 = sF4 ),
inference(definition_folding,[],[f6,f76,f79]) ).
fof(f6,axiom,
( sk_c11 = inverse(sk_c7)
| multiply(sk_c1,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f253,plain,
( spl16_17
| spl16_18
| spl16_19
| spl16_20
| spl16_21
| spl16_19
| spl16_21 ),
inference(avatar_split_clause,[],[f69,f251,f245,f251,f248,f245,f242,f239]) ).
fof(f69,plain,
! [X3,X10,X8,X6,X9,X4,X5] :
( sk_c12 != inverse(X5)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c12 != multiply(X8,sk_c11)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6))
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != inverse(X4)
| sk_c10 != multiply(X4,sk_c11)
| sk_c12 != inverse(X8) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X8,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(inverse(X10),sk_c10)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X6,X7)
| sk_c12 != inverse(X5)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != multiply(X7,sk_c10)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != multiply(X10,inverse(X10))
| sk_c11 != inverse(X4)
| inverse(X6) != X7 ),
inference(equality_resolution,[],[f67]) ).
fof(f67,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X9)
| sk_c12 != multiply(X8,sk_c11)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != multiply(X11,sk_c10)
| sk_c12 != inverse(X3)
| sk_c11 != multiply(X6,X7)
| sk_c12 != inverse(X5)
| sk_c11 != multiply(X9,sk_c10)
| sk_c11 != multiply(X7,sk_c10)
| inverse(X10) != X11
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X5,sk_c11)
| sk_c11 != multiply(X3,sk_c12)
| sk_c11 != multiply(X10,X11)
| sk_c11 != inverse(X4)
| inverse(X6) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f237,plain,
( spl16_16
| spl16_1 ),
inference(avatar_split_clause,[],[f120,f150,f230]) ).
fof(f120,plain,
( sk_c12 = sF12
| sk_c11 = sF7 ),
inference(definition_folding,[],[f26,f91,f80]) ).
fof(f26,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f236,plain,
( spl16_3
| spl16_6 ),
inference(avatar_split_clause,[],[f111,f173,f159]) ).
fof(f111,plain,
( sk_c11 = sF6
| sk_c11 = sF14 ),
inference(definition_folding,[],[f48,f79,f99]) ).
fof(f48,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f235,plain,
( spl16_11
| spl16_6 ),
inference(avatar_split_clause,[],[f137,f173,f198]) ).
fof(f137,plain,
( sk_c11 = sF6
| sk_c10 = sF1 ),
inference(definition_folding,[],[f20,f71,f79]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f234,plain,
( spl16_14
| spl16_15 ),
inference(avatar_split_clause,[],[f138,f221,f216]) ).
fof(f138,plain,
( sk_c5 = sF13
| sk_c11 = sF10 ),
inference(definition_folding,[],[f57,f85,f95]) ).
fof(f57,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f233,plain,
( spl16_14
| spl16_16 ),
inference(avatar_split_clause,[],[f143,f230,f216]) ).
fof(f143,plain,
( sk_c11 = sF7
| sk_c11 = sF10 ),
inference(definition_folding,[],[f29,f85,f80]) ).
fof(f29,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f228,plain,
( spl16_4
| spl16_10 ),
inference(avatar_split_clause,[],[f105,f193,f163]) ).
fof(f105,plain,
( sk_c12 = sF9
| sk_c12 = sF2 ),
inference(definition_folding,[],[f32,f83,f73]) ).
fof(f32,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f227,plain,
( spl16_9
| spl16_3 ),
inference(avatar_split_clause,[],[f115,f159,f189]) ).
fof(f115,plain,
( sk_c11 = sF14
| sk_c9 = sF8 ),
inference(definition_folding,[],[f51,f82,f99]) ).
fof(f51,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c9 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f224,plain,
( spl16_6
| spl16_15 ),
inference(avatar_split_clause,[],[f122,f221,f173]) ).
fof(f122,plain,
( sk_c5 = sF13
| sk_c11 = sF6 ),
inference(definition_folding,[],[f55,f95,f79]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f213,plain,
( spl16_4
| spl16_2 ),
inference(avatar_split_clause,[],[f75,f154,f163]) ).
fof(f75,plain,
( sk_c12 = sF3
| sk_c12 = sF2 ),
inference(definition_folding,[],[f39,f74,f73]) ).
fof(f39,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f211,plain,
( spl16_4
| spl16_13 ),
inference(avatar_split_clause,[],[f121,f207,f163]) ).
fof(f121,plain,
( sk_c11 = sF4
| sk_c12 = sF2 ),
inference(definition_folding,[],[f4,f73,f76]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c12) = sk_c11
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f205,plain,
( spl16_11
| spl16_12 ),
inference(avatar_split_clause,[],[f72,f202,f198]) ).
fof(f72,plain,
( sk_c11 = sF0
| sk_c10 = sF1 ),
inference(definition_folding,[],[f21,f71,f70]) ).
fof(f21,axiom,
( sk_c11 = multiply(sk_c7,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f181,plain,
( spl16_7
| spl16_6 ),
inference(avatar_split_clause,[],[f90,f173,f178]) ).
fof(f90,plain,
( sk_c11 = sF6
| sk_c12 = sF11 ),
inference(definition_folding,[],[f13,f89,f79]) ).
fof(f13,axiom,
( sk_c11 = inverse(sk_c7)
| sk_c12 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f176,plain,
( spl16_6
| spl16_5 ),
inference(avatar_split_clause,[],[f113,f168,f173]) ).
fof(f113,plain,
( sk_c11 = sF15
| sk_c11 = sF6 ),
inference(definition_folding,[],[f62,f79,f103]) ).
fof(f62,axiom,
( sk_c11 = multiply(sk_c5,sk_c10)
| sk_c11 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f157,plain,
( spl16_1
| spl16_2 ),
inference(avatar_split_clause,[],[f92,f154,f150]) ).
fof(f92,plain,
( sk_c12 = sF3
| sk_c12 = sF12 ),
inference(definition_folding,[],[f40,f74,f91]) ).
fof(f40,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| sk_c12 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP243-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:34:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (30018)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.50 % (30011)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.50 % (30008)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50 % (30003)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (29997)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (30015)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52 % (30008)Instruction limit reached!
% 0.20/0.52 % (30008)------------------------------
% 0.20/0.52 % (30008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29991)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52 % (30008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (30008)Termination reason: Unknown
% 0.20/0.52 % (30008)Termination phase: Finite model building preprocessing
% 0.20/0.52
% 0.20/0.52 % (30008)Memory used [KB]: 1407
% 0.20/0.52 % (30008)Time elapsed: 0.005 s
% 0.20/0.52 % (30008)Instructions burned: 7 (million)
% 0.20/0.52 % (30008)------------------------------
% 0.20/0.52 % (30008)------------------------------
% 0.20/0.52 % (29990)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.52 % (29994)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.53 % (30022)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (29995)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (30009)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (30017)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.53 % (30009)Instruction limit reached!
% 0.20/0.53 % (30009)------------------------------
% 0.20/0.53 % (30009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30009)Termination reason: Unknown
% 0.20/0.53 % (30009)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (30009)Memory used [KB]: 1279
% 0.20/0.53 % (30009)Time elapsed: 0.002 s
% 0.20/0.53 % (30009)Instructions burned: 3 (million)
% 0.20/0.53 % (30009)------------------------------
% 0.20/0.53 % (30009)------------------------------
% 0.20/0.53 % (30004)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.53 % (30020)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.53 % (30014)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.53 % (29993)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53 % (30004)Instruction limit reached!
% 0.20/0.53 % (30004)------------------------------
% 0.20/0.53 % (30004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30004)Termination reason: Unknown
% 0.20/0.53 % (30004)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (30004)Memory used [KB]: 6012
% 0.20/0.53 % (30004)Time elapsed: 0.124 s
% 0.20/0.53 % (30004)Instructions burned: 6 (million)
% 0.20/0.53 % (30004)------------------------------
% 0.20/0.53 % (30004)------------------------------
% 0.20/0.53 % (30021)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53 % (30005)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (29992)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53 % (30005)Instruction limit reached!
% 0.20/0.53 % (30005)------------------------------
% 0.20/0.53 % (30005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (30005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (30005)Termination reason: Unknown
% 0.20/0.53 % (30005)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (30005)Memory used [KB]: 1279
% 0.20/0.53 % (30005)Time elapsed: 0.003 s
% 0.20/0.53 % (29992)Instruction limit reached!
% 0.20/0.53 % (29992)------------------------------
% 0.20/0.53 % (29992)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29998)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (30019)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.54 % (30016)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (30013)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54 % (29996)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (30010)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54 % (30005)Instructions burned: 3 (million)
% 0.20/0.54 % (30005)------------------------------
% 0.20/0.54 % (30005)------------------------------
% 0.20/0.54 % (29992)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29992)Termination reason: Unknown
% 0.20/0.54 % (29992)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29992)Memory used [KB]: 5884
% 0.20/0.54 % (29992)Time elapsed: 0.004 s
% 0.20/0.54 % (29992)Instructions burned: 4 (million)
% 0.20/0.54 % (29992)------------------------------
% 0.20/0.54 % (29992)------------------------------
% 0.20/0.54 % (30003)Instruction limit reached!
% 0.20/0.54 % (30003)------------------------------
% 0.20/0.54 % (30003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30003)Termination reason: Unknown
% 0.20/0.54 % (30003)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (30003)Memory used [KB]: 6268
% 0.20/0.54 % (30003)Time elapsed: 0.124 s
% 0.20/0.54 % (30003)Instructions burned: 23 (million)
% 0.20/0.54 % (30003)------------------------------
% 0.20/0.54 % (30003)------------------------------
% 0.20/0.54 % (29999)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (30006)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.54 % (30011)Instruction limit reached!
% 0.20/0.54 % (30011)------------------------------
% 0.20/0.54 % (30011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (30011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (30011)Termination reason: Unknown
% 0.20/0.54 % (30011)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (30011)Memory used [KB]: 10746
% 0.20/0.54 % (30011)Time elapsed: 0.144 s
% 0.20/0.54 % (30011)Instructions burned: 28 (million)
% 0.20/0.54 % (30011)------------------------------
% 0.20/0.54 % (30011)------------------------------
% 0.20/0.54 % (30010)Instruction limit reached!
% 0.20/0.54 % (30010)------------------------------
% 0.20/0.54 % (30010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (29998)Instruction limit reached!
% 1.51/0.55 % (29998)------------------------------
% 1.51/0.55 % (29998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (29998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (29998)Termination reason: Unknown
% 1.51/0.55 % (29998)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (29998)Memory used [KB]: 5884
% 1.51/0.55 % (29998)Time elapsed: 0.005 s
% 1.51/0.55 % (29998)Instructions burned: 4 (million)
% 1.51/0.55 % (29998)------------------------------
% 1.51/0.55 % (29998)------------------------------
% 1.51/0.55 % (30010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (30010)Termination reason: Unknown
% 1.51/0.55 % (30010)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (30010)Memory used [KB]: 6012
% 1.51/0.55 % (30010)Time elapsed: 0.139 s
% 1.51/0.55 % (30010)Instructions burned: 8 (million)
% 1.51/0.55 % (30010)------------------------------
% 1.51/0.55 % (30010)------------------------------
% 1.51/0.55 % (30013)Instruction limit reached!
% 1.51/0.55 % (30013)------------------------------
% 1.51/0.55 % (30013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (30013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (30013)Termination reason: Unknown
% 1.51/0.55 % (30013)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (30013)Memory used [KB]: 1407
% 1.51/0.55 % (30013)Time elapsed: 0.005 s
% 1.51/0.55 % (30013)Instructions burned: 6 (million)
% 1.51/0.55 % (30013)------------------------------
% 1.51/0.55 % (30013)------------------------------
% 1.51/0.55 % (30002)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.51/0.55 % (30012)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.55 % (30002)Instruction limit reached!
% 1.51/0.55 % (30002)------------------------------
% 1.51/0.55 % (30002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (30002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (30002)Termination reason: Unknown
% 1.51/0.55 % (30002)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (30002)Memory used [KB]: 5884
% 1.51/0.55 % (30002)Time elapsed: 0.148 s
% 1.51/0.55 % (30002)Instructions burned: 7 (million)
% 1.51/0.55 % (30002)------------------------------
% 1.51/0.55 % (30002)------------------------------
% 1.51/0.56 % (30012)Instruction limit reached!
% 1.51/0.56 % (30012)------------------------------
% 1.51/0.56 % (30012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56 % (30016)Refutation not found, incomplete strategy% (30016)------------------------------
% 1.51/0.56 % (30016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56 % (30016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.56 % (30016)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.56
% 1.51/0.56 % (30016)Memory used [KB]: 5884
% 1.51/0.56 % (30016)Time elapsed: 0.154 s
% 1.51/0.56 % (30016)Instructions burned: 5 (million)
% 1.51/0.56 % (30016)------------------------------
% 1.51/0.56 % (30016)------------------------------
% 1.71/0.56 % (30012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.56 % (30012)Termination reason: Unknown
% 1.71/0.56 % (30012)Termination phase: Saturation
% 1.71/0.56
% 1.71/0.56 % (30012)Memory used [KB]: 6012
% 1.71/0.56 % (30012)Time elapsed: 0.156 s
% 1.71/0.56 % (30012)Instructions burned: 7 (million)
% 1.71/0.56 % (30012)------------------------------
% 1.71/0.56 % (30012)------------------------------
% 1.71/0.57 % (30021)Instruction limit reached!
% 1.71/0.57 % (30021)------------------------------
% 1.71/0.57 % (30021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (30021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (30021)Termination reason: Unknown
% 1.71/0.57 % (30021)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (30021)Memory used [KB]: 6268
% 1.71/0.57 % (30021)Time elapsed: 0.168 s
% 1.71/0.57 % (30021)Instructions burned: 22 (million)
% 1.71/0.57 % (30021)------------------------------
% 1.71/0.57 % (30021)------------------------------
% 1.71/0.57 % (29995)Instruction limit reached!
% 1.71/0.57 % (29995)------------------------------
% 1.71/0.57 % (29995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.57 % (29995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.57 % (29995)Termination reason: Unknown
% 1.71/0.57 % (29995)Termination phase: Saturation
% 1.71/0.57
% 1.71/0.57 % (29995)Memory used [KB]: 6268
% 1.71/0.57 % (29995)Time elapsed: 0.168 s
% 1.71/0.57 % (29995)Instructions burned: 25 (million)
% 1.71/0.57 % (29995)------------------------------
% 1.71/0.57 % (29995)------------------------------
% 1.71/0.58 % (29994)Instruction limit reached!
% 1.71/0.58 % (29994)------------------------------
% 1.71/0.58 % (29994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (29994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (29994)Termination reason: Unknown
% 1.71/0.58 % (29994)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (29994)Memory used [KB]: 6524
% 1.71/0.58 % (29994)Time elapsed: 0.163 s
% 1.71/0.58 % (29994)Instructions burned: 36 (million)
% 1.71/0.58 % (29994)------------------------------
% 1.71/0.58 % (29994)------------------------------
% 1.71/0.59 % (29997)Instruction limit reached!
% 1.71/0.59 % (29997)------------------------------
% 1.71/0.59 % (29997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (29997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (29997)Termination reason: Unknown
% 1.71/0.59 % (29997)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (29997)Memory used [KB]: 6780
% 1.71/0.59 % (29997)Time elapsed: 0.189 s
% 1.71/0.59 % (29997)Instructions burned: 52 (million)
% 1.71/0.59 % (29997)------------------------------
% 1.71/0.59 % (29997)------------------------------
% 1.71/0.59 % (29991)Instruction limit reached!
% 1.71/0.59 % (29991)------------------------------
% 1.71/0.59 % (29991)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (29991)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (29991)Termination reason: Unknown
% 1.71/0.59 % (29991)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (29991)Memory used [KB]: 1791
% 1.71/0.59 % (29991)Time elapsed: 0.187 s
% 1.71/0.59 % (29991)Instructions burned: 42 (million)
% 1.71/0.59 % (29991)------------------------------
% 1.71/0.59 % (29991)------------------------------
% 1.71/0.59 % (29993)Instruction limit reached!
% 1.71/0.59 % (29993)------------------------------
% 1.71/0.59 % (29993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (29993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (29993)Termination reason: Unknown
% 1.71/0.59 % (29993)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (29993)Memory used [KB]: 6780
% 1.71/0.59 % (29993)Time elapsed: 0.171 s
% 1.71/0.59 % (29993)Instructions burned: 44 (million)
% 1.71/0.59 % (29993)------------------------------
% 1.71/0.59 % (29993)------------------------------
% 1.71/0.59 % (30017)Instruction limit reached!
% 1.71/0.59 % (30017)------------------------------
% 1.71/0.59 % (30017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (30017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (30017)Termination reason: Unknown
% 1.71/0.59 % (30017)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (30017)Memory used [KB]: 6908
% 1.71/0.59 % (30017)Time elapsed: 0.198 s
% 1.71/0.59 % (30017)Instructions burned: 48 (million)
% 1.71/0.59 % (30017)------------------------------
% 1.71/0.59 % (30017)------------------------------
% 1.71/0.60 % (30006)Instruction limit reached!
% 1.71/0.60 % (30006)------------------------------
% 1.71/0.60 % (30006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (30006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (30006)Termination reason: Unknown
% 1.71/0.60 % (30006)Termination phase: Saturation
% 1.71/0.60
% 1.71/0.60 % (30006)Memory used [KB]: 1663
% 1.71/0.60 % (30006)Time elapsed: 0.142 s
% 1.71/0.60 % (30006)Instructions burned: 30 (million)
% 1.71/0.60 % (30006)------------------------------
% 1.71/0.60 % (30006)------------------------------
% 1.71/0.60 % (29990)First to succeed.
% 1.71/0.61 % (29996)Instruction limit reached!
% 1.71/0.61 % (29996)------------------------------
% 1.71/0.61 % (29996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (29996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (29996)Termination reason: Unknown
% 1.71/0.61 % (29996)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (29996)Memory used [KB]: 1791
% 1.71/0.61 % (29996)Time elapsed: 0.149 s
% 1.71/0.61 % (29996)Instructions burned: 50 (million)
% 1.71/0.61 % (29996)------------------------------
% 1.71/0.61 % (29996)------------------------------
% 1.71/0.62 % (30018)Instruction limit reached!
% 1.71/0.62 % (30018)------------------------------
% 1.71/0.62 % (30018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (30018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (30018)Termination reason: Unknown
% 1.71/0.62 % (30018)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (30018)Memory used [KB]: 7291
% 1.71/0.62 % (30018)Time elapsed: 0.216 s
% 1.71/0.62 % (30018)Instructions burned: 81 (million)
% 1.71/0.62 % (30018)------------------------------
% 1.71/0.62 % (30018)------------------------------
% 1.71/0.62 % (29999)Instruction limit reached!
% 1.71/0.62 % (29999)------------------------------
% 1.71/0.62 % (29999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (29999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (29999)Termination reason: Unknown
% 1.71/0.62 % (29999)Termination phase: Saturation
% 1.71/0.62
% 1.71/0.62 % (29999)Memory used [KB]: 6780
% 1.71/0.62 % (29999)Time elapsed: 0.228 s
% 1.71/0.62 % (29999)Instructions burned: 51 (million)
% 1.71/0.62 % (29999)------------------------------
% 1.71/0.62 % (29999)------------------------------
% 1.71/0.63 % (30020)Refutation not found, non-redundant clauses discarded% (30020)------------------------------
% 1.71/0.63 % (30020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.63 % (30020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.63 % (30020)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.71/0.63
% 1.71/0.63 % (30020)Memory used [KB]: 1791
% 1.71/0.63 % (30020)Time elapsed: 0.208 s
% 1.71/0.63 % (30020)Instructions burned: 64 (million)
% 1.71/0.63 % (30020)------------------------------
% 1.71/0.63 % (30020)------------------------------
% 2.05/0.63 % (29990)Refutation found. Thanks to Tanya!
% 2.05/0.63 % SZS status Unsatisfiable for theBenchmark
% 2.05/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.63 % (29990)------------------------------
% 2.05/0.63 % (29990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (29990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (29990)Termination reason: Refutation
% 2.05/0.63
% 2.05/0.63 % (29990)Memory used [KB]: 6524
% 2.05/0.63 % (29990)Time elapsed: 0.205 s
% 2.05/0.63 % (29990)Instructions burned: 50 (million)
% 2.05/0.63 % (29990)------------------------------
% 2.05/0.63 % (29990)------------------------------
% 2.05/0.63 % (29988)Success in time 0.265 s
%------------------------------------------------------------------------------