TSTP Solution File: GRP231-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP231-1 : 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 : n005.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 16:14:57 EDT 2022
% Result : Unsatisfiable 2.72s 0.74s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 64
% Syntax : Number of formulae : 328 ( 31 unt; 0 def)
% Number of atoms : 958 ( 362 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1181 ( 551 ~; 605 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1091,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f92,f101,f110,f111,f116,f117,f127,f132,f133,f134,f135,f136,f137,f138,f139,f149,f150,f151,f153,f154,f155,f156,f160,f162,f208,f217,f229,f234,f244,f263,f304,f317,f319,f357,f367,f540,f550,f577,f609,f687,f770,f775,f789,f824,f875,f919,f936,f1018,f1021,f1049,f1078]) ).
fof(f1078,plain,
( spl11_27
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(avatar_split_clause,[],[f1077,f314,f129,f107,f94,f89,f80,f256]) ).
fof(f256,plain,
( spl11_27
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_27])]) ).
fof(f80,plain,
( spl11_1
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f89,plain,
( spl11_3
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f94,plain,
( spl11_4
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f107,plain,
( spl11_7
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f129,plain,
( spl11_11
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f314,plain,
( spl11_30
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_30])]) ).
fof(f1077,plain,
( sk_c8 = inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(backward_demodulation,[],[f634,f1074]) ).
fof(f1074,plain,
( identity = sk_c4
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(backward_demodulation,[],[f934,f1071]) ).
fof(f1071,plain,
( ! [X0] : multiply(sF0,X0) = X0
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(backward_demodulation,[],[f1045,f1069]) ).
fof(f1069,plain,
( ! [X10] : multiply(sk_c8,X10) = X10
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(forward_demodulation,[],[f1065,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1065,plain,
( ! [X10] : multiply(sk_c8,X10) = multiply(identity,X10)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(backward_demodulation,[],[f1062,f1064]) ).
fof(f1064,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_30 ),
inference(forward_demodulation,[],[f1014,f1046]) ).
fof(f1046,plain,
identity = multiply(sF0,sk_c8),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1014,plain,
( sk_c6 = multiply(sF0,sk_c8)
| ~ spl11_1
| ~ spl11_30 ),
inference(forward_demodulation,[],[f938,f315]) ).
fof(f315,plain,
( sk_c8 = sk_c7
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f938,plain,
( sk_c6 = multiply(sF0,sk_c7)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f937,f37]) ).
fof(f937,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f284,f82]) ).
fof(f82,plain,
( sk_c7 = sF4
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f284,plain,
sk_c6 = multiply(inverse(sk_c8),sF4),
inference(superposition,[],[f183,f43]) ).
fof(f43,plain,
multiply(sk_c8,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f183,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f176,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f1062,plain,
( ! [X10] : multiply(sk_c8,X10) = multiply(sk_c6,X10)
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_30 ),
inference(forward_demodulation,[],[f1061,f1058]) ).
fof(f1058,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c4,multiply(sk_c8,X9))
| ~ spl11_4
| ~ spl11_30 ),
inference(forward_demodulation,[],[f631,f315]) ).
fof(f631,plain,
( ! [X9] : multiply(sk_c4,multiply(sk_c7,X9)) = multiply(sk_c8,X9)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f178,f96]) ).
fof(f96,plain,
( sk_c8 = sF7
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f178,plain,
! [X9] : multiply(sk_c4,multiply(sk_c7,X9)) = multiply(sF7,X9),
inference(superposition,[],[f3,f48]) ).
fof(f48,plain,
multiply(sk_c4,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f1061,plain,
( ! [X10] : multiply(sk_c4,multiply(sk_c8,X10)) = multiply(sk_c6,X10)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1060,f1029]) ).
fof(f1029,plain,
( sk_c4 = sk_c5
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1028,f934]) ).
fof(f1028,plain,
( sk_c5 = multiply(sF0,identity)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f636,f37]) ).
fof(f636,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f293,f109]) ).
fof(f109,plain,
( sk_c8 = sF3
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f293,plain,
sk_c5 = multiply(inverse(sF3),identity),
inference(superposition,[],[f183,f171]) ).
fof(f171,plain,
identity = multiply(sF3,sk_c5),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f1060,plain,
( ! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sk_c6,X10)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f179,f91]) ).
fof(f91,plain,
( sk_c6 = sF1
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f179,plain,
! [X10] : multiply(sk_c5,multiply(sk_c8,X10)) = multiply(sF1,X10),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
multiply(sk_c5,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f1045,plain,
! [X0] : multiply(sF0,multiply(sk_c8,X0)) = X0,
inference(superposition,[],[f183,f37]) ).
fof(f934,plain,
( sk_c4 = multiply(sF0,identity)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f645,f37]) ).
fof(f645,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f294,f131]) ).
fof(f131,plain,
( sk_c8 = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f294,plain,
sk_c4 = multiply(inverse(sF9),identity),
inference(superposition,[],[f183,f170]) ).
fof(f170,plain,
identity = multiply(sF9,sk_c4),
inference(superposition,[],[f2,f52]) ).
fof(f52,plain,
inverse(sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f634,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f52,f131]) ).
fof(f1049,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| spl11_19
| ~ spl11_27
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f1048]) ).
fof(f1048,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| spl11_19
| ~ spl11_27
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f1047,f212]) ).
fof(f212,plain,
( identity != sk_c8
| spl11_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl11_19
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f1047,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_27
| ~ spl11_30 ),
inference(backward_demodulation,[],[f1038,f1046]) ).
fof(f1038,plain,
( sk_c8 = multiply(sF0,sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_27
| ~ spl11_30 ),
inference(backward_demodulation,[],[f1014,f1036]) ).
fof(f1036,plain,
( sk_c8 = sk_c6
| ~ spl11_3
| ~ spl11_4
| ~ spl11_7
| ~ spl11_11
| ~ spl11_27
| ~ spl11_30 ),
inference(forward_demodulation,[],[f1032,f1007]) ).
fof(f1007,plain,
( ! [X9] : multiply(sk_c4,X9) = X9
| ~ spl11_4
| ~ spl11_27
| ~ spl11_30 ),
inference(forward_demodulation,[],[f1006,f939]) ).
fof(f939,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_27 ),
inference(forward_demodulation,[],[f280,f257]) ).
fof(f257,plain,
( sk_c8 = inverse(identity)
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f280,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f183,f1]) ).
fof(f1006,plain,
( ! [X9] : multiply(sk_c4,multiply(sk_c8,X9)) = X9
| ~ spl11_4
| ~ spl11_27
| ~ spl11_30 ),
inference(forward_demodulation,[],[f942,f315]) ).
fof(f942,plain,
( ! [X9] : multiply(sk_c4,multiply(sk_c7,X9)) = X9
| ~ spl11_4
| ~ spl11_27 ),
inference(backward_demodulation,[],[f631,f939]) ).
fof(f1032,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1008,f1029]) ).
fof(f1008,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f38,f91]) ).
fof(f1021,plain,
( spl11_23
| ~ spl11_27
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1020,plain,
( $false
| spl11_23
| ~ spl11_27
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f1019,f939]) ).
fof(f1019,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl11_23
| ~ spl11_30 ),
inference(forward_demodulation,[],[f233,f315]) ).
fof(f233,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl11_23 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl11_23
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f1018,plain,
( spl11_17
| ~ spl11_8
| ~ spl11_30 ),
inference(avatar_split_clause,[],[f1017,f314,f113,f201]) ).
fof(f201,plain,
( spl11_17
<=> sk_c8 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_17])]) ).
fof(f113,plain,
( spl11_8
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1017,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl11_8
| ~ spl11_30 ),
inference(forward_demodulation,[],[f168,f315]) ).
fof(f168,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f55,f115]) ).
fof(f115,plain,
( sk_c8 = sF10
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f55,plain,
multiply(sk_c3,sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f936,plain,
( spl11_30
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f935,f107,f89,f80,f314]) ).
fof(f935,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7 ),
inference(backward_demodulation,[],[f618,f813]) ).
fof(f813,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_3
| ~ spl11_7 ),
inference(forward_demodulation,[],[f628,f91]) ).
fof(f628,plain,
( sk_c8 = multiply(sk_c8,sF1)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f301,f109]) ).
fof(f301,plain,
sk_c8 = multiply(sF3,sF1),
inference(forward_demodulation,[],[f288,f41]) ).
fof(f288,plain,
sk_c8 = multiply(inverse(sk_c5),sF1),
inference(superposition,[],[f183,f38]) ).
fof(f618,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f43,f82]) ).
fof(f919,plain,
( spl11_6
| ~ spl11_19
| ~ spl11_26
| ~ spl11_27 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| spl11_6
| ~ spl11_19
| ~ spl11_26
| ~ spl11_27 ),
inference(subsumption_resolution,[],[f917,f742]) ).
fof(f742,plain,
( identity = sk_c7
| ~ spl11_19
| ~ spl11_26 ),
inference(forward_demodulation,[],[f741,f1]) ).
fof(f741,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_19
| ~ spl11_26 ),
inference(forward_demodulation,[],[f252,f211]) ).
fof(f211,plain,
( identity = sk_c8
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f252,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl11_26
<=> sk_c7 = multiply(sk_c8,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f917,plain,
( identity != sk_c7
| spl11_6
| ~ spl11_19
| ~ spl11_27 ),
inference(forward_demodulation,[],[f104,f916]) ).
fof(f916,plain,
( identity = sF0
| ~ spl11_19
| ~ spl11_27 ),
inference(forward_demodulation,[],[f915,f803]) ).
fof(f803,plain,
( identity = inverse(identity)
| ~ spl11_19
| ~ spl11_27 ),
inference(forward_demodulation,[],[f257,f211]) ).
fof(f915,plain,
( inverse(identity) = sF0
| ~ spl11_19 ),
inference(forward_demodulation,[],[f37,f211]) ).
fof(f104,plain,
( sk_c7 != sF0
| spl11_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl11_6
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f875,plain,
( ~ spl11_4
| ~ spl11_11
| ~ spl11_19
| spl11_28 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl11_4
| ~ spl11_11
| ~ spl11_19
| spl11_28 ),
inference(subsumption_resolution,[],[f873,f798]) ).
fof(f798,plain,
( identity != sk_c7
| ~ spl11_19
| spl11_28 ),
inference(forward_demodulation,[],[f797,f1]) ).
fof(f797,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl11_19
| spl11_28 ),
inference(forward_demodulation,[],[f262,f211]) ).
fof(f262,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl11_28 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f260,plain,
( spl11_28
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_28])]) ).
fof(f873,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_11
| ~ spl11_19 ),
inference(forward_demodulation,[],[f872,f1]) ).
fof(f872,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_11
| ~ spl11_19 ),
inference(forward_demodulation,[],[f633,f211]) ).
fof(f633,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| ~ spl11_11 ),
inference(backward_demodulation,[],[f625,f131]) ).
fof(f625,plain,
( sk_c7 = multiply(sF9,sk_c8)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f300,f96]) ).
fof(f300,plain,
sk_c7 = multiply(sF9,sF7),
inference(forward_demodulation,[],[f287,f52]) ).
fof(f287,plain,
sk_c7 = multiply(inverse(sk_c4),sF7),
inference(superposition,[],[f183,f48]) ).
fof(f824,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19
| spl11_28 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19
| spl11_28 ),
inference(subsumption_resolution,[],[f822,f798]) ).
fof(f822,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19 ),
inference(forward_demodulation,[],[f821,f814]) ).
fof(f814,plain,
( identity = multiply(identity,sk_c6)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19 ),
inference(forward_demodulation,[],[f813,f211]) ).
fof(f821,plain,
( sk_c7 = multiply(identity,sk_c6)
| ~ spl11_1
| ~ spl11_19 ),
inference(forward_demodulation,[],[f618,f211]) ).
fof(f789,plain,
( spl11_18
| ~ spl11_19
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| spl11_18
| ~ spl11_19
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f787,f1]) ).
fof(f787,plain,
( identity != multiply(identity,identity)
| spl11_18
| ~ spl11_19
| ~ spl11_30 ),
inference(forward_demodulation,[],[f786,f211]) ).
fof(f786,plain,
( sk_c8 != multiply(sk_c8,identity)
| spl11_18
| ~ spl11_19
| ~ spl11_30 ),
inference(forward_demodulation,[],[f207,f725]) ).
fof(f725,plain,
( identity = sk_c7
| ~ spl11_19
| ~ spl11_30 ),
inference(backward_demodulation,[],[f315,f211]) ).
fof(f207,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl11_18 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f205,plain,
( spl11_18
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f775,plain,
( ~ spl11_6
| ~ spl11_19
| spl11_20
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f774,plain,
( $false
| ~ spl11_6
| ~ spl11_19
| spl11_20
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f773,f211]) ).
fof(f773,plain,
( identity != sk_c8
| ~ spl11_6
| ~ spl11_19
| spl11_20
| ~ spl11_30 ),
inference(forward_demodulation,[],[f772,f1]) ).
fof(f772,plain,
( sk_c8 != multiply(identity,identity)
| ~ spl11_6
| ~ spl11_19
| spl11_20
| ~ spl11_30 ),
inference(forward_demodulation,[],[f771,f731]) ).
fof(f731,plain,
( identity = inverse(identity)
| ~ spl11_6
| ~ spl11_19
| ~ spl11_30 ),
inference(backward_demodulation,[],[f666,f211]) ).
fof(f666,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl11_6
| ~ spl11_30 ),
inference(backward_demodulation,[],[f166,f315]) ).
fof(f166,plain,
( inverse(sk_c8) = sk_c7
| ~ spl11_6 ),
inference(backward_demodulation,[],[f37,f105]) ).
fof(f105,plain,
( sk_c7 = sF0
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f771,plain,
( sk_c8 != multiply(identity,inverse(identity))
| ~ spl11_19
| spl11_20
| ~ spl11_30 ),
inference(forward_demodulation,[],[f216,f725]) ).
fof(f216,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| spl11_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl11_20
<=> sk_c8 = multiply(sk_c7,inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f770,plain,
( ~ spl11_6
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl11_6
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f768,f731]) ).
fof(f768,plain,
( identity != inverse(identity)
| ~ spl11_6
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(forward_demodulation,[],[f764,f731]) ).
fof(f764,plain,
( identity != inverse(inverse(identity))
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(trivial_inequality_removal,[],[f762]) ).
fof(f762,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(superposition,[],[f740,f2]) ).
fof(f740,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(forward_demodulation,[],[f738,f211]) ).
fof(f738,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,sk_c8) )
| ~ spl11_14
| ~ spl11_19
| ~ spl11_30 ),
inference(backward_demodulation,[],[f716,f211]) ).
fof(f716,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl11_14
| ~ spl11_30 ),
inference(forward_demodulation,[],[f148,f315]) ).
fof(f148,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl11_14
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f687,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| spl11_19
| ~ spl11_23
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f686]) ).
fof(f686,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| spl11_19
| ~ spl11_23
| ~ spl11_30 ),
inference(subsumption_resolution,[],[f685,f212]) ).
fof(f685,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_23
| ~ spl11_30 ),
inference(backward_demodulation,[],[f658,f667]) ).
fof(f667,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl11_6
| ~ spl11_30 ),
inference(backward_demodulation,[],[f169,f315]) ).
fof(f169,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl11_6 ),
inference(superposition,[],[f2,f166]) ).
fof(f658,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_23 ),
inference(backward_demodulation,[],[f628,f656]) ).
fof(f656,plain,
( sk_c8 = sF1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_23 ),
inference(forward_demodulation,[],[f91,f619]) ).
fof(f619,plain,
( sk_c8 = sk_c6
| ~ spl11_1
| ~ spl11_6
| ~ spl11_23 ),
inference(backward_demodulation,[],[f616,f232]) ).
fof(f232,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f616,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_6 ),
inference(backward_demodulation,[],[f297,f82]) ).
fof(f297,plain,
( sk_c6 = multiply(sk_c7,sF4)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f284,f166]) ).
fof(f609,plain,
( ~ spl11_3
| ~ spl11_7
| ~ spl11_19
| spl11_24
| ~ spl11_28 ),
inference(avatar_contradiction_clause,[],[f608]) ).
fof(f608,plain,
( $false
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19
| spl11_24
| ~ spl11_28 ),
inference(subsumption_resolution,[],[f606,f1]) ).
fof(f606,plain,
( identity != multiply(identity,identity)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19
| spl11_24
| ~ spl11_28 ),
inference(backward_demodulation,[],[f552,f603]) ).
fof(f603,plain,
( identity = sk_c6
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19 ),
inference(forward_demodulation,[],[f600,f1]) ).
fof(f600,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_19 ),
inference(backward_demodulation,[],[f553,f597]) ).
fof(f597,plain,
( identity = sk_c5
| ~ spl11_7
| ~ spl11_19 ),
inference(forward_demodulation,[],[f592,f2]) ).
fof(f592,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl11_7
| ~ spl11_19 ),
inference(backward_demodulation,[],[f293,f589]) ).
fof(f589,plain,
( identity = sF3
| ~ spl11_7
| ~ spl11_19 ),
inference(forward_demodulation,[],[f109,f211]) ).
fof(f553,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl11_3
| ~ spl11_19 ),
inference(backward_demodulation,[],[f368,f91]) ).
fof(f368,plain,
( multiply(sk_c5,identity) = sF1
| ~ spl11_19 ),
inference(backward_demodulation,[],[f38,f211]) ).
fof(f552,plain,
( identity != multiply(identity,sk_c6)
| ~ spl11_3
| ~ spl11_19
| spl11_24
| ~ spl11_28 ),
inference(backward_demodulation,[],[f521,f91]) ).
fof(f521,plain,
( identity != multiply(identity,sF1)
| ~ spl11_19
| spl11_24
| ~ spl11_28 ),
inference(forward_demodulation,[],[f520,f488]) ).
fof(f488,plain,
( identity = sk_c7
| ~ spl11_19
| ~ spl11_28 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f392,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_19
| ~ spl11_28 ),
inference(backward_demodulation,[],[f261,f211]) ).
fof(f261,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f520,plain,
( sk_c7 != multiply(identity,sF1)
| ~ spl11_19
| spl11_24 ),
inference(forward_demodulation,[],[f243,f211]) ).
fof(f243,plain,
( sk_c7 != multiply(sk_c8,sF1)
| spl11_24 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f241,plain,
( spl11_24
<=> sk_c7 = multiply(sk_c8,sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_24])]) ).
fof(f577,plain,
( ~ spl11_19
| ~ spl11_28
| spl11_29 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl11_19
| ~ spl11_28
| spl11_29 ),
inference(subsumption_resolution,[],[f575,f1]) ).
fof(f575,plain,
( identity != multiply(identity,identity)
| ~ spl11_19
| ~ spl11_28
| spl11_29 ),
inference(forward_demodulation,[],[f574,f211]) ).
fof(f574,plain,
( identity != multiply(sk_c8,identity)
| ~ spl11_19
| ~ spl11_28
| spl11_29 ),
inference(forward_demodulation,[],[f312,f488]) ).
fof(f312,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| spl11_29 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl11_29
<=> sk_c7 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_29])]) ).
fof(f550,plain,
( ~ spl11_11
| ~ spl11_19
| spl11_27 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f549,plain,
( $false
| ~ spl11_11
| ~ spl11_19
| spl11_27 ),
inference(subsumption_resolution,[],[f391,f531]) ).
fof(f531,plain,
( identity = inverse(identity)
| ~ spl11_11
| ~ spl11_19 ),
inference(forward_demodulation,[],[f529,f530]) ).
fof(f530,plain,
( identity = sk_c4
| ~ spl11_11
| ~ spl11_19 ),
inference(forward_demodulation,[],[f526,f2]) ).
fof(f526,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl11_11
| ~ spl11_19 ),
inference(backward_demodulation,[],[f294,f525]) ).
fof(f525,plain,
( identity = sF9
| ~ spl11_11
| ~ spl11_19 ),
inference(forward_demodulation,[],[f131,f211]) ).
fof(f529,plain,
( identity = inverse(sk_c4)
| ~ spl11_11
| ~ spl11_19 ),
inference(backward_demodulation,[],[f52,f525]) ).
fof(f391,plain,
( identity != inverse(identity)
| ~ spl11_19
| spl11_27 ),
inference(backward_demodulation,[],[f258,f211]) ).
fof(f258,plain,
( sk_c8 != inverse(identity)
| spl11_27 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f540,plain,
( ~ spl11_19
| spl11_26
| ~ spl11_28 ),
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f539,plain,
( $false
| ~ spl11_19
| spl11_26
| ~ spl11_28 ),
inference(subsumption_resolution,[],[f493,f488]) ).
fof(f493,plain,
( identity != sk_c7
| ~ spl11_19
| spl11_26 ),
inference(forward_demodulation,[],[f390,f1]) ).
fof(f390,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl11_19
| spl11_26 ),
inference(backward_demodulation,[],[f253,f211]) ).
fof(f253,plain,
( sk_c7 != multiply(sk_c8,identity)
| spl11_26 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f367,plain,
( spl11_30
| ~ spl11_2
| ~ spl11_9
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f353,f260,f119,f84,f314]) ).
fof(f84,plain,
( spl11_2
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f119,plain,
( spl11_9
<=> sk_c2 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f353,plain,
( sk_c8 = sk_c7
| ~ spl11_2
| ~ spl11_9
| ~ spl11_28 ),
inference(forward_demodulation,[],[f352,f164]) ).
fof(f164,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f51,f86]) ).
fof(f86,plain,
( sk_c8 = sF8
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f51,plain,
multiply(sk_c1,sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f352,plain,
( sk_c7 = multiply(sk_c1,sk_c2)
| ~ spl11_2
| ~ spl11_9
| ~ spl11_28 ),
inference(forward_demodulation,[],[f348,f261]) ).
fof(f348,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f180,f299]) ).
fof(f299,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_9 ),
inference(forward_demodulation,[],[f289,f165]) ).
fof(f165,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f45,f121]) ).
fof(f121,plain,
( sk_c2 = sF5
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f45,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f289,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_2 ),
inference(superposition,[],[f183,f164]) ).
fof(f180,plain,
( ! [X11] : multiply(sk_c1,multiply(sk_c2,X11)) = multiply(sk_c8,X11)
| ~ spl11_2 ),
inference(superposition,[],[f3,f164]) ).
fof(f357,plain,
( spl11_19
| ~ spl11_2
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f356,f119,f84,f210]) ).
fof(f356,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_9 ),
inference(forward_demodulation,[],[f350,f2]) ).
fof(f350,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f183,f299]) ).
fof(f319,plain,
( spl11_23
| ~ spl11_6
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f318,f260,f103,f231]) ).
fof(f318,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl11_6
| ~ spl11_28 ),
inference(forward_demodulation,[],[f306,f166]) ).
fof(f306,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_28 ),
inference(superposition,[],[f183,f261]) ).
fof(f317,plain,
( ~ spl11_29
| ~ spl11_30
| ~ spl11_6
| ~ spl11_13
| ~ spl11_28 ),
inference(avatar_split_clause,[],[f308,f260,f144,f103,f314,f310]) ).
fof(f144,plain,
( spl11_13
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f308,plain,
( sk_c8 != sk_c7
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl11_6
| ~ spl11_13
| ~ spl11_28 ),
inference(forward_demodulation,[],[f305,f166]) ).
fof(f305,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c8)
| ~ spl11_13
| ~ spl11_28 ),
inference(superposition,[],[f145,f261]) ).
fof(f145,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f304,plain,
( ~ spl11_5
| ~ spl11_8
| spl11_28 ),
inference(avatar_contradiction_clause,[],[f303]) ).
fof(f303,plain,
( $false
| ~ spl11_5
| ~ spl11_8
| spl11_28 ),
inference(subsumption_resolution,[],[f302,f262]) ).
fof(f302,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_5
| ~ spl11_8 ),
inference(forward_demodulation,[],[f292,f163]) ).
fof(f163,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f40,f100]) ).
fof(f100,plain,
( sk_c8 = sF2
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl11_5
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f40,plain,
inverse(sk_c3) = sF2,
introduced(function_definition,[]) ).
fof(f292,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl11_8 ),
inference(superposition,[],[f183,f168]) ).
fof(f263,plain,
( ~ spl11_27
| ~ spl11_28
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f235,f144,f260,f256]) ).
fof(f235,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl11_13 ),
inference(superposition,[],[f145,f1]) ).
fof(f244,plain,
( ~ spl11_24
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f239,f144,f107,f241]) ).
fof(f239,plain,
( sk_c8 != sF3
| sk_c7 != multiply(sk_c8,sF1)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f238,f41]) ).
fof(f238,plain,
( sk_c7 != multiply(sk_c8,sF1)
| sk_c8 != inverse(sk_c5)
| ~ spl11_13 ),
inference(superposition,[],[f145,f38]) ).
fof(f234,plain,
( ~ spl11_23
| ~ spl11_18
| ~ spl11_6
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f185,f141,f103,f205,f231]) ).
fof(f141,plain,
( spl11_12
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f185,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c7,sk_c7)
| ~ spl11_6
| ~ spl11_12 ),
inference(superposition,[],[f142,f166]) ).
fof(f142,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f229,plain,
( ~ spl11_2
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| ~ spl11_2
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f227,f164]) ).
fof(f227,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f188,f167]) ).
fof(f167,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f47,f126]) ).
fof(f126,plain,
( sk_c8 = sF6
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl11_10
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f47,plain,
multiply(sk_c2,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f188,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl11_9
| ~ spl11_12 ),
inference(superposition,[],[f142,f165]) ).
fof(f217,plain,
( ~ spl11_19
| ~ spl11_20
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f190,f141,f214,f210]) ).
fof(f190,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| identity != sk_c8
| ~ spl11_12 ),
inference(superposition,[],[f142,f2]) ).
fof(f208,plain,
( ~ spl11_17
| ~ spl11_18
| ~ spl11_5
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f189,f141,f98,f205,f201]) ).
fof(f189,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c3,sk_c8)
| ~ spl11_5
| ~ spl11_12 ),
inference(superposition,[],[f142,f163]) ).
fof(f162,plain,
( spl11_10
| spl11_3 ),
inference(avatar_split_clause,[],[f74,f89,f124]) ).
fof(f74,plain,
( sk_c6 = sF1
| sk_c8 = sF6 ),
inference(definition_folding,[],[f22,f38,f47]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f160,plain,
( spl11_1
| spl11_9 ),
inference(avatar_split_clause,[],[f67,f119,f80]) ).
fof(f67,plain,
( sk_c2 = sF5
| sk_c7 = sF4 ),
inference(definition_folding,[],[f16,f43,f45]) ).
fof(f16,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f156,plain,
( spl11_6
| spl11_1 ),
inference(avatar_split_clause,[],[f71,f80,f103]) ).
fof(f71,plain,
( sk_c7 = sF4
| sk_c7 = sF0 ),
inference(definition_folding,[],[f6,f43,f37]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f155,plain,
( spl11_5
| spl11_11 ),
inference(avatar_split_clause,[],[f63,f129,f98]) ).
fof(f63,plain,
( sk_c8 = sF9
| sk_c8 = sF2 ),
inference(definition_folding,[],[f24,f52,f40]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f154,plain,
( spl11_10
| spl11_7 ),
inference(avatar_split_clause,[],[f58,f107,f124]) ).
fof(f58,plain,
( sk_c8 = sF3
| sk_c8 = sF6 ),
inference(definition_folding,[],[f23,f47,f41]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f153,plain,
( spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f44,f80,f98]) ).
fof(f44,plain,
( sk_c7 = sF4
| sk_c8 = sF2 ),
inference(definition_folding,[],[f26,f40,f43]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f151,plain,
( spl11_4
| spl11_6 ),
inference(avatar_split_clause,[],[f77,f103,f94]) ).
fof(f77,plain,
( sk_c7 = sF0
| sk_c8 = sF7 ),
inference(definition_folding,[],[f5,f37,f48]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f150,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f46,f89,f119]) ).
fof(f46,plain,
( sk_c6 = sF1
| sk_c2 = sF5 ),
inference(definition_folding,[],[f17,f38,f45]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f149,plain,
( spl11_12
| spl11_13
| spl11_14
| spl11_14
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f70,f103,f147,f147,f144,f141]) ).
fof(f70,plain,
! [X3,X8,X6,X5] :
( sk_c7 != sF0
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ),
inference(definition_folding,[],[f36,f37]) ).
fof(f36,plain,
! [X3,X8,X6,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X5)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X7,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(inverse(X3),sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X6,sk_c7)
| inverse(X3) != X4
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X4,sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X3,X4)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X5,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f139,plain,
( spl11_8
| spl11_11 ),
inference(avatar_split_clause,[],[f73,f129,f113]) ).
fof(f73,plain,
( sk_c8 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f29,f52,f55]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f138,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f56,f113,f107]) ).
fof(f56,plain,
( sk_c8 = sF10
| sk_c8 = sF3 ),
inference(definition_folding,[],[f33,f41,f55]) ).
fof(f33,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f137,plain,
( spl11_9
| spl11_7 ),
inference(avatar_split_clause,[],[f64,f107,f119]) ).
fof(f64,plain,
( sk_c8 = sF3
| sk_c2 = sF5 ),
inference(definition_folding,[],[f18,f41,f45]) ).
fof(f18,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f136,plain,
( spl11_8
| spl11_1 ),
inference(avatar_split_clause,[],[f65,f80,f113]) ).
fof(f65,plain,
( sk_c7 = sF4
| sk_c8 = sF10 ),
inference(definition_folding,[],[f31,f55,f43]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f135,plain,
( spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f72,f107,f84]) ).
fof(f72,plain,
( sk_c8 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f13,f51,f41]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f134,plain,
( spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f39,f103,f89]) ).
fof(f39,plain,
( sk_c7 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f7,f38,f37]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f133,plain,
( spl11_5
| spl11_7 ),
inference(avatar_split_clause,[],[f42,f107,f98]) ).
fof(f42,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f28,f41,f40]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f132,plain,
( spl11_6
| spl11_11 ),
inference(avatar_split_clause,[],[f78,f129,f103]) ).
fof(f78,plain,
( sk_c8 = sF9
| sk_c7 = sF0 ),
inference(definition_folding,[],[f4,f37,f52]) ).
fof(f4,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f127,plain,
( spl11_10
| spl11_1 ),
inference(avatar_split_clause,[],[f75,f80,f124]) ).
fof(f75,plain,
( sk_c7 = sF4
| sk_c8 = sF6 ),
inference(definition_folding,[],[f21,f43,f47]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f117,plain,
( spl11_8
| spl11_3 ),
inference(avatar_split_clause,[],[f66,f89,f113]) ).
fof(f66,plain,
( sk_c6 = sF1
| sk_c8 = sF10 ),
inference(definition_folding,[],[f32,f38,f55]) ).
fof(f32,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f116,plain,
( spl11_8
| spl11_4 ),
inference(avatar_split_clause,[],[f60,f94,f113]) ).
fof(f60,plain,
( sk_c8 = sF7
| sk_c8 = sF10 ),
inference(definition_folding,[],[f30,f55,f48]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f111,plain,
( spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f50,f98,f89]) ).
fof(f50,plain,
( sk_c8 = sF2
| sk_c6 = sF1 ),
inference(definition_folding,[],[f27,f38,f40]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f110,plain,
( spl11_6
| spl11_7 ),
inference(avatar_split_clause,[],[f69,f107,f103]) ).
fof(f69,plain,
( sk_c8 = sF3
| sk_c7 = sF0 ),
inference(definition_folding,[],[f8,f41,f37]) ).
fof(f8,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f101,plain,
( spl11_4
| spl11_5 ),
inference(avatar_split_clause,[],[f76,f98,f94]) ).
fof(f76,plain,
( sk_c8 = sF2
| sk_c8 = sF7 ),
inference(definition_folding,[],[f25,f40,f48]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f92,plain,
( spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f59,f89,f84]) ).
fof(f59,plain,
( sk_c6 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f12,f38,f51]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f87,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f61,f84,f80]) ).
fof(f61,plain,
( sk_c8 = sF8
| sk_c7 = sF4 ),
inference(definition_folding,[],[f11,f51,f43]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP231-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % 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 : n005.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 22:21:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (5007)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)
% 0.19/0.55 % (4999)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)
% 0.19/0.55 % (5001)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)
% 0.19/0.55 % (5010)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)
% 0.19/0.55 % (5001)Instruction limit reached!
% 0.19/0.55 % (5001)------------------------------
% 0.19/0.55 % (5001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (5001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (5001)Termination reason: Unknown
% 0.19/0.55 % (5001)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (5001)Memory used [KB]: 5884
% 0.19/0.55 % (5001)Time elapsed: 0.006 s
% 0.19/0.55 % (5001)Instructions burned: 3 (million)
% 0.19/0.55 % (5001)------------------------------
% 0.19/0.55 % (5001)------------------------------
% 0.19/0.56 % (5010)Instruction limit reached!
% 0.19/0.56 % (5010)------------------------------
% 0.19/0.56 % (5010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (5010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (5010)Termination reason: Unknown
% 0.19/0.56 % (5010)Termination phase: Equality proxy
% 0.19/0.56
% 0.19/0.56 % (5010)Memory used [KB]: 1279
% 0.19/0.56 % (5010)Time elapsed: 0.004 s
% 0.19/0.56 % (5010)Instructions burned: 2 (million)
% 0.19/0.56 % (5010)------------------------------
% 0.19/0.56 % (5010)------------------------------
% 0.19/0.56 % (5018)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)
% 0.19/0.56 % (5016)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)
% 1.50/0.59 % (5002)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)
% 1.87/0.60 % (4997)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)
% 1.87/0.60 % (4996)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)
% 1.87/0.60 % (4998)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.87/0.60 % (5005)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)
% 1.87/0.60 % (5011)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.87/0.60 % (4995)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)
% 1.87/0.60 % (5004)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)
% 1.87/0.60 % (4995)Instruction limit reached!
% 1.87/0.60 % (4995)------------------------------
% 1.87/0.60 % (4995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.60 % (4995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.60 % (4995)Termination reason: Unknown
% 1.87/0.60 % (4995)Termination phase: Saturation
% 1.87/0.60
% 1.87/0.60 % (4995)Memory used [KB]: 5884
% 1.87/0.60 % (4995)Time elapsed: 0.184 s
% 1.87/0.60 % (4995)Instructions burned: 4 (million)
% 1.87/0.60 % (4995)------------------------------
% 1.87/0.60 % (4995)------------------------------
% 1.87/0.60 % (5006)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)
% 1.87/0.61 % (5019)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)
% 1.87/0.61 % (5006)Instruction limit reached!
% 1.87/0.61 % (5006)------------------------------
% 1.87/0.61 % (5006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (5006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (5006)Termination reason: Unknown
% 1.87/0.61 % (5006)Termination phase: Saturation
% 1.87/0.61
% 1.87/0.61 % (5006)Memory used [KB]: 5884
% 1.87/0.61 % (5006)Time elapsed: 0.004 s
% 1.87/0.61 % (5006)Instructions burned: 3 (million)
% 1.87/0.61 % (5006)------------------------------
% 1.87/0.61 % (5006)------------------------------
% 1.87/0.61 % (5023)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)
% 1.87/0.61 % (5020)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)
% 1.87/0.61 % (5021)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)
% 1.87/0.61 % (5007)Instruction limit reached!
% 1.87/0.61 % (5007)------------------------------
% 1.87/0.61 % (5007)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (5007)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (5007)Termination reason: Unknown
% 1.87/0.61 % (5007)Termination phase: Saturation
% 1.87/0.61
% 1.87/0.61 % (5007)Memory used [KB]: 1663
% 1.87/0.61 % (5007)Time elapsed: 0.175 s
% 1.87/0.61 % (5007)Instructions burned: 30 (million)
% 1.87/0.61 % (5007)------------------------------
% 1.87/0.61 % (5007)------------------------------
% 1.87/0.61 % (5011)Instruction limit reached!
% 1.87/0.61 % (5011)------------------------------
% 1.87/0.61 % (5011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.61 % (5011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.61 % (5011)Termination reason: Unknown
% 1.87/0.61 % (5011)Termination phase: Saturation
% 1.87/0.61
% 1.87/0.61 % (5011)Memory used [KB]: 6012
% 1.87/0.61 % (5011)Time elapsed: 0.157 s
% 1.87/0.61 % (5011)Instructions burned: 9 (million)
% 1.87/0.61 % (5011)------------------------------
% 1.87/0.61 % (5011)------------------------------
% 1.87/0.61 % (5022)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)
% 1.87/0.61 % (5012)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)
% 1.87/0.62 % (5015)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)
% 1.87/0.62 % (5013)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)
% 1.87/0.62 % (5022)Refutation not found, incomplete strategy% (5022)------------------------------
% 1.87/0.62 % (5022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (5022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (5022)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.62
% 1.87/0.62 % (5022)Memory used [KB]: 5884
% 1.87/0.62 % (5022)Time elapsed: 0.206 s
% 1.87/0.62 % (5022)Instructions burned: 3 (million)
% 1.87/0.62 % (5022)------------------------------
% 1.87/0.62 % (5022)------------------------------
% 1.87/0.62 % (5003)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)
% 1.87/0.62 % (5013)Instruction limit reached!
% 1.87/0.62 % (5013)------------------------------
% 1.87/0.62 % (5013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (5013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (5013)Termination reason: Unknown
% 1.87/0.62 % (5013)Termination phase: Saturation
% 1.87/0.62
% 1.87/0.62 % (5013)Memory used [KB]: 6012
% 1.87/0.62 % (5013)Time elapsed: 0.214 s
% 1.87/0.62 % (5013)Instructions burned: 8 (million)
% 1.87/0.62 % (5013)------------------------------
% 1.87/0.62 % (5013)------------------------------
% 1.87/0.62 % (5003)Instruction limit reached!
% 1.87/0.62 % (5003)------------------------------
% 1.87/0.62 % (5003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (5003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (5003)Termination reason: Unknown
% 1.87/0.62 % (5003)Termination phase: Saturation
% 1.87/0.62
% 1.87/0.62 % (5003)Memory used [KB]: 6012
% 1.87/0.62 % (5003)Time elapsed: 0.211 s
% 1.87/0.62 % (5003)Instructions burned: 7 (million)
% 1.87/0.62 % (5003)------------------------------
% 1.87/0.62 % (5003)------------------------------
% 1.87/0.62 % (5005)Instruction limit reached!
% 1.87/0.62 % (5005)------------------------------
% 1.87/0.62 % (5005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (5005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (5005)Termination reason: Unknown
% 1.87/0.62 % (5005)Termination phase: Saturation
% 1.87/0.62
% 1.87/0.62 % (5005)Memory used [KB]: 6012
% 1.87/0.62 % (5005)Time elapsed: 0.186 s
% 1.87/0.62 % (5005)Instructions burned: 5 (million)
% 1.87/0.62 % (5005)------------------------------
% 1.87/0.62 % (5005)------------------------------
% 1.87/0.62 % (5000)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)
% 1.87/0.62 % (4994)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)
% 1.87/0.63 % (5014)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)
% 1.87/0.63 % (4993)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.87/0.63 % (5014)Instruction limit reached!
% 1.87/0.63 % (5014)------------------------------
% 1.87/0.63 % (5014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (5014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (5014)Termination reason: Unknown
% 1.87/0.63 % (5014)Termination phase: Saturation
% 1.87/0.63
% 1.87/0.63 % (5014)Memory used [KB]: 1407
% 1.87/0.63 % (5014)Time elapsed: 0.220 s
% 1.87/0.63 % (5014)Instructions burned: 7 (million)
% 1.87/0.63 % (5014)------------------------------
% 1.87/0.63 % (5014)------------------------------
% 1.87/0.63 % (5020)Refutation not found, incomplete strategy% (5020)------------------------------
% 1.87/0.63 % (5020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (5020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (5020)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.63
% 1.87/0.63 % (5020)Memory used [KB]: 6012
% 1.87/0.63 % (5020)Time elapsed: 0.216 s
% 1.87/0.63 % (5020)Instructions burned: 4 (million)
% 1.87/0.63 % (5020)------------------------------
% 1.87/0.63 % (5020)------------------------------
% 1.87/0.64 % (5009)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)
% 1.87/0.64 % (4999)Instruction limit reached!
% 1.87/0.64 % (4999)------------------------------
% 1.87/0.64 % (4999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.64 % (5018)Instruction limit reached!
% 1.87/0.64 % (5018)------------------------------
% 1.87/0.64 % (5018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.64 % (5018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.64 % (5018)Termination reason: Unknown
% 1.87/0.64 % (5018)Termination phase: Saturation
% 1.87/0.64
% 1.87/0.64 % (5018)Memory used [KB]: 6780
% 1.87/0.64 % (5018)Time elapsed: 0.184 s
% 1.87/0.64 % (5018)Instructions burned: 46 (million)
% 1.87/0.64 % (5018)------------------------------
% 1.87/0.64 % (5018)------------------------------
% 1.87/0.64 % (5017)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)
% 1.87/0.64 % (5017)Refutation not found, incomplete strategy% (5017)------------------------------
% 1.87/0.64 % (5017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.64 % (5017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.64 % (5017)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.64
% 1.87/0.64 % (5017)Memory used [KB]: 5884
% 1.87/0.64 % (5017)Time elapsed: 0.224 s
% 1.87/0.65 % (5017)Instructions burned: 3 (million)
% 1.87/0.65 % (5017)------------------------------
% 1.87/0.65 % (5017)------------------------------
% 1.87/0.65 % (5004)Instruction limit reached!
% 1.87/0.65 % (5004)------------------------------
% 1.87/0.65 % (5004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.65 % (5004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.65 % (5004)Termination reason: Unknown
% 1.87/0.65 % (5004)Termination phase: Saturation
% 1.87/0.65
% 1.87/0.65 % (5004)Memory used [KB]: 6140
% 1.87/0.65 % (5004)Time elapsed: 0.233 s
% 1.87/0.65 % (5004)Instructions burned: 23 (million)
% 1.87/0.65 % (5004)------------------------------
% 1.87/0.65 % (5004)------------------------------
% 1.87/0.66 % (4999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.66 % (4999)Termination reason: Unknown
% 1.87/0.66 % (4999)Termination phase: Saturation
% 1.87/0.66
% 1.87/0.66 % (4999)Memory used [KB]: 1791
% 1.87/0.66 % (4999)Time elapsed: 0.209 s
% 1.87/0.66 % (4999)Instructions burned: 50 (million)
% 1.87/0.66 % (4999)------------------------------
% 1.87/0.66 % (4999)------------------------------
% 1.87/0.66 % (5009)Instruction limit reached!
% 1.87/0.66 % (5009)------------------------------
% 1.87/0.66 % (5009)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.66 % (5009)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.66 % (5009)Termination reason: Unknown
% 1.87/0.66 % (5009)Termination phase: Finite model building preprocessing
% 1.87/0.66
% 1.87/0.66 % (5009)Memory used [KB]: 6012
% 1.87/0.66 % (5009)Time elapsed: 0.006 s
% 1.87/0.66 % (5009)Instructions burned: 7 (million)
% 1.87/0.66 % (5009)------------------------------
% 1.87/0.66 % (5009)------------------------------
% 2.44/0.68 % (4997)Instruction limit reached!
% 2.44/0.68 % (4997)------------------------------
% 2.44/0.68 % (4997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.68 % (4997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68 % (4997)Termination reason: Unknown
% 2.44/0.68 % (4997)Termination phase: Saturation
% 2.44/0.68
% 2.44/0.68 % (4997)Memory used [KB]: 6524
% 2.44/0.68 % (4997)Time elapsed: 0.254 s
% 2.44/0.68 % (4997)Instructions burned: 34 (million)
% 2.44/0.68 % (4997)------------------------------
% 2.44/0.68 % (4997)------------------------------
% 2.44/0.68 % (4998)Instruction limit reached!
% 2.44/0.68 % (4998)------------------------------
% 2.44/0.68 % (4998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.68 % (4998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.68 % (4998)Termination reason: Unknown
% 2.44/0.68 % (4998)Termination phase: Saturation
% 2.44/0.68
% 2.44/0.68 % (4998)Memory used [KB]: 6140
% 2.44/0.68 % (4998)Time elapsed: 0.268 s
% 2.44/0.68 % (4998)Instructions burned: 25 (million)
% 2.44/0.68 % (4998)------------------------------
% 2.44/0.68 % (4998)------------------------------
% 2.44/0.68 % (5012)Instruction limit reached!
% 2.44/0.68 % (5012)------------------------------
% 2.44/0.68 % (5012)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.70 % (5012)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.70 % (5012)Termination reason: Unknown
% 2.44/0.70 % (5012)Termination phase: Saturation
% 2.44/0.70
% 2.44/0.70 % (5012)Memory used [KB]: 10746
% 2.44/0.70 % (5012)Time elapsed: 0.249 s
% 2.44/0.70 % (5012)Instructions burned: 29 (million)
% 2.44/0.70 % (5012)------------------------------
% 2.44/0.70 % (5012)------------------------------
% 2.54/0.71 % (4993)First to succeed.
% 2.54/0.71 % (4996)Instruction limit reached!
% 2.54/0.71 % (4996)------------------------------
% 2.54/0.71 % (4996)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.71 % (4996)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.71 % (4996)Termination reason: Unknown
% 2.54/0.71 % (4996)Termination phase: Saturation
% 2.54/0.71
% 2.54/0.71 % (4996)Memory used [KB]: 6652
% 2.54/0.71 % (4996)Time elapsed: 0.284 s
% 2.54/0.71 % (4996)Instructions burned: 43 (million)
% 2.54/0.71 % (4996)------------------------------
% 2.54/0.71 % (4996)------------------------------
% 2.54/0.71 % (5040)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.54/0.71 % (5039)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/14Mi)
% 2.54/0.72 % (4994)Instruction limit reached!
% 2.54/0.72 % (4994)------------------------------
% 2.54/0.72 % (4994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.72 % (4994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.72 % (4994)Termination reason: Unknown
% 2.54/0.72 % (4994)Termination phase: Saturation
% 2.54/0.72
% 2.54/0.72 % (4994)Memory used [KB]: 1791
% 2.54/0.72 % (4994)Time elapsed: 0.256 s
% 2.54/0.72 % (4994)Instructions burned: 42 (million)
% 2.54/0.72 % (4994)------------------------------
% 2.54/0.72 % (4994)------------------------------
% 2.54/0.73 % (5039)Instruction limit reached!
% 2.54/0.73 % (5039)------------------------------
% 2.54/0.73 % (5039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.73 % (5039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.73 % (5039)Termination reason: Unknown
% 2.54/0.73 % (5039)Termination phase: Saturation
% 2.54/0.73
% 2.54/0.73 % (5039)Memory used [KB]: 6140
% 2.54/0.73 % (5039)Time elapsed: 0.067 s
% 2.54/0.73 % (5039)Instructions burned: 14 (million)
% 2.54/0.73 % (5039)------------------------------
% 2.54/0.73 % (5039)------------------------------
% 2.54/0.73 % (5002)Instruction limit reached!
% 2.54/0.73 % (5002)------------------------------
% 2.54/0.73 % (5002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.54/0.73 % (5002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.54/0.73 % (5002)Termination reason: Unknown
% 2.54/0.73 % (5002)Termination phase: Saturation
% 2.54/0.73
% 2.54/0.73 % (5002)Memory used [KB]: 6524
% 2.54/0.73 % (5002)Time elapsed: 0.277 s
% 2.54/0.73 % (5002)Instructions burned: 51 (million)
% 2.54/0.73 % (5002)------------------------------
% 2.54/0.73 % (5002)------------------------------
% 2.72/0.74 % (5016)Instruction limit reached!
% 2.72/0.74 % (5016)------------------------------
% 2.72/0.74 % (5016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.74 % (5016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.74 % (5016)Termination reason: Unknown
% 2.72/0.74 % (5016)Termination phase: Saturation
% 2.72/0.74
% 2.72/0.74 % (5016)Memory used [KB]: 6652
% 2.72/0.74 % (5016)Time elapsed: 0.329 s
% 2.72/0.74 % (5016)Instructions burned: 98 (million)
% 2.72/0.74 % (5016)------------------------------
% 2.72/0.74 % (5016)------------------------------
% 2.72/0.74 % (4993)Refutation found. Thanks to Tanya!
% 2.72/0.74 % SZS status Unsatisfiable for theBenchmark
% 2.72/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/0.74 % (4993)------------------------------
% 2.72/0.74 % (4993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.74 % (4993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.74 % (4993)Termination reason: Refutation
% 2.72/0.74
% 2.72/0.74 % (4993)Memory used [KB]: 6396
% 2.72/0.74 % (4993)Time elapsed: 0.299 s
% 2.72/0.74 % (4993)Instructions burned: 32 (million)
% 2.72/0.74 % (4993)------------------------------
% 2.72/0.74 % (4993)------------------------------
% 2.72/0.74 % (4992)Success in time 0.395 s
%------------------------------------------------------------------------------