TSTP Solution File: GRP246-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP246-1 : 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 : n004.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 16:15:01 EDT 2022
% Result : Unsatisfiable 1.47s 0.62s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 83
% Syntax : Number of formulae : 328 ( 33 unt; 0 def)
% Number of atoms : 867 ( 382 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 976 ( 437 ~; 512 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1311,plain,
$false,
inference(avatar_sat_refutation,[],[f137,f151,f161,f166,f176,f177,f178,f179,f184,f189,f196,f201,f202,f205,f210,f211,f212,f213,f215,f216,f218,f220,f221,f222,f223,f225,f226,f228,f230,f231,f247,f248,f250,f252,f253,f254,f256,f257,f279,f284,f311,f345,f355,f371,f381,f486,f528,f569,f596,f655,f730,f742,f820,f824,f919,f980,f1035,f1085,f1169,f1310]) ).
fof(f1310,plain,
( ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_17
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f1309]) ).
fof(f1309,plain,
( $false
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_17
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f1306,f1037]) ).
fof(f1037,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_34
| ~ spl15_37 ),
inference(backward_demodulation,[],[f353,f1036]) ).
fof(f1036,plain,
( sk_c11 = sk_c4
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_37 ),
inference(backward_demodulation,[],[f632,f1012]) ).
fof(f1012,plain,
( sk_c11 = multiply(inverse(sk_c11),identity)
| ~ spl15_11
| ~ spl15_14
| ~ spl15_37 ),
inference(backward_demodulation,[],[f963,f367]) ).
fof(f367,plain,
( identity = sk_c10
| ~ spl15_37 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl15_37
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f963,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c10)
| ~ spl15_11
| ~ spl15_14 ),
inference(superposition,[],[f424,f755]) ).
fof(f755,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl15_11
| ~ spl15_14 ),
inference(forward_demodulation,[],[f754,f183]) ).
fof(f183,plain,
( sk_c11 = sF1
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl15_11
<=> sk_c11 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f754,plain,
( sk_c10 = multiply(sF1,sk_c11)
| ~ spl15_14 ),
inference(forward_demodulation,[],[f467,f200]) ).
fof(f200,plain,
( sk_c11 = sF4
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl15_14
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f467,plain,
sk_c10 = multiply(sF1,sF4),
inference(forward_demodulation,[],[f453,f61]) ).
fof(f61,plain,
inverse(sk_c6) = sF1,
introduced(function_definition,[]) ).
fof(f453,plain,
sk_c10 = multiply(inverse(sk_c6),sF4),
inference(superposition,[],[f424,f66]) ).
fof(f66,plain,
multiply(sk_c6,sk_c10) = sF4,
introduced(function_definition,[]) ).
fof(f424,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f406,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f406,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f632,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f460,f132]) ).
fof(f132,plain,
( sk_c11 = sF12
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl15_1
<=> sk_c11 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f460,plain,
sk_c4 = multiply(inverse(sF12),identity),
inference(superposition,[],[f424,f266]) ).
fof(f266,plain,
identity = multiply(sF12,sk_c4),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
inverse(sk_c4) = sF12,
introduced(function_definition,[]) ).
fof(f353,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl15_34
<=> sk_c11 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f1306,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_17
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(trivial_inequality_removal,[],[f1302]) ).
fof(f1302,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != sk_c11
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_17
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(superposition,[],[f1087,f1041]) ).
fof(f1041,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_14
| ~ spl15_34
| ~ spl15_37 ),
inference(backward_demodulation,[],[f1012,f1037]) ).
fof(f1087,plain,
( ! [X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != inverse(X5) )
| ~ spl15_17
| ~ spl15_26 ),
inference(backward_demodulation,[],[f237,f305]) ).
fof(f305,plain,
( identity = sk_c9
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl15_26
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f237,plain,
( ! [X5] :
( sk_c11 != multiply(X5,sk_c9)
| sk_c11 != inverse(X5) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl15_17
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f1169,plain,
( ~ spl15_1
| spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl15_1
| spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f1167,f144]) ).
fof(f144,plain,
( sk_c11 != sF3
| spl15_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl15_4
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f1167,plain,
( sk_c11 = sF3
| ~ spl15_1
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14
| ~ spl15_26
| ~ spl15_34
| ~ spl15_37 ),
inference(forward_demodulation,[],[f1161,f1037]) ).
fof(f1161,plain,
( sF3 = inverse(sk_c11)
| ~ spl15_5
| ~ spl15_26 ),
inference(backward_demodulation,[],[f65,f1160]) ).
fof(f1160,plain,
( sk_c11 = sk_c3
| ~ spl15_5
| ~ spl15_26 ),
inference(backward_demodulation,[],[f952,f1157]) ).
fof(f1157,plain,
( sk_c11 = multiply(inverse(sF3),identity)
| ~ spl15_5
| ~ spl15_26 ),
inference(superposition,[],[f424,f1090]) ).
fof(f1090,plain,
( identity = multiply(sF3,sk_c11)
| ~ spl15_5
| ~ spl15_26 ),
inference(backward_demodulation,[],[f855,f305]) ).
fof(f855,plain,
( sk_c9 = multiply(sF3,sk_c11)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f457,f65]) ).
fof(f457,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c11)
| ~ spl15_5 ),
inference(superposition,[],[f424,f262]) ).
fof(f262,plain,
( sk_c11 = multiply(sk_c3,sk_c9)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f68,f150]) ).
fof(f150,plain,
( sk_c11 = sF5
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl15_5
<=> sk_c11 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f68,plain,
multiply(sk_c3,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f952,plain,
sk_c3 = multiply(inverse(sF3),identity),
inference(superposition,[],[f424,f861]) ).
fof(f861,plain,
identity = multiply(sF3,sk_c3),
inference(superposition,[],[f2,f65]) ).
fof(f65,plain,
inverse(sk_c3) = sF3,
introduced(function_definition,[]) ).
fof(f1085,plain,
( spl15_26
| ~ spl15_23
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f1084,f366,f290,f304]) ).
fof(f290,plain,
( spl15_23
<=> sk_c10 = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1084,plain,
( identity = sk_c9
| ~ spl15_23
| ~ spl15_37 ),
inference(forward_demodulation,[],[f291,f367]) ).
fof(f291,plain,
( sk_c10 = sk_c9
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f1035,plain,
( ~ spl15_6
| ~ spl15_10
| spl15_26
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f1034]) ).
fof(f1034,plain,
( $false
| ~ spl15_6
| ~ spl15_10
| spl15_26
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f1033,f306]) ).
fof(f306,plain,
( identity != sk_c9
| spl15_26 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f1033,plain,
( identity = sk_c9
| ~ spl15_6
| ~ spl15_10
| ~ spl15_37 ),
inference(forward_demodulation,[],[f1032,f1]) ).
fof(f1032,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_6
| ~ spl15_10
| ~ spl15_37 ),
inference(forward_demodulation,[],[f1006,f1022]) ).
fof(f1022,plain,
( identity = sk_c5
| ~ spl15_10
| ~ spl15_37 ),
inference(forward_demodulation,[],[f998,f2]) ).
fof(f998,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl15_10
| ~ spl15_37 ),
inference(backward_demodulation,[],[f779,f367]) ).
fof(f779,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f461,f175]) ).
fof(f175,plain,
( sk_c10 = sF14
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl15_10
<=> sk_c10 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f461,plain,
sk_c5 = multiply(inverse(sF14),identity),
inference(superposition,[],[f424,f267]) ).
fof(f267,plain,
identity = multiply(sF14,sk_c5),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
inverse(sk_c5) = sF14,
introduced(function_definition,[]) ).
fof(f1006,plain,
( sk_c9 = multiply(sk_c5,identity)
| ~ spl15_6
| ~ spl15_37 ),
inference(backward_demodulation,[],[f803,f367]) ).
fof(f803,plain,
( multiply(sk_c5,sk_c10) = sk_c9
| ~ spl15_6 ),
inference(backward_demodulation,[],[f81,f155]) ).
fof(f155,plain,
( sk_c9 = sF11
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl15_6
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f81,plain,
multiply(sk_c5,sk_c10) = sF11,
introduced(function_definition,[]) ).
fof(f980,plain,
( spl15_37
| ~ spl15_8
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f977,f207,f163,f366]) ).
fof(f163,plain,
( spl15_8
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f207,plain,
( spl15_15
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f977,plain,
( identity = sk_c10
| ~ spl15_8
| ~ spl15_15 ),
inference(forward_demodulation,[],[f974,f2]) ).
fof(f974,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c8)
| ~ spl15_8
| ~ spl15_15 ),
inference(superposition,[],[f424,f762]) ).
fof(f762,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl15_8
| ~ spl15_15 ),
inference(backward_demodulation,[],[f743,f209]) ).
fof(f209,plain,
( sk_c10 = sF7
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f743,plain,
( sk_c8 = multiply(sk_c8,sF7)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f468,f165]) ).
fof(f165,plain,
( sk_c8 = sF6
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f468,plain,
sk_c8 = multiply(sF6,sF7),
inference(forward_demodulation,[],[f454,f69]) ).
fof(f69,plain,
inverse(sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f454,plain,
sk_c8 = multiply(inverse(sk_c7),sF7),
inference(superposition,[],[f424,f72]) ).
fof(f72,plain,
multiply(sk_c7,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f919,plain,
( ~ spl15_3
| ~ spl15_8
| ~ spl15_15
| ~ spl15_20 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl15_3
| ~ spl15_8
| ~ spl15_15
| ~ spl15_20 ),
inference(subsumption_resolution,[],[f917,f797]) ).
fof(f797,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f79,f141]) ).
fof(f141,plain,
( sk_c10 = sF10
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl15_3
<=> sk_c10 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f79,plain,
multiply(sk_c8,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f917,plain,
( sk_c10 != multiply(sk_c8,sk_c9)
| ~ spl15_8
| ~ spl15_15
| ~ spl15_20 ),
inference(subsumption_resolution,[],[f895,f766]) ).
fof(f766,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl15_15 ),
inference(forward_demodulation,[],[f72,f209]) ).
fof(f895,plain,
( sk_c10 != multiply(sk_c7,sk_c8)
| sk_c10 != multiply(sk_c8,sk_c9)
| ~ spl15_8
| ~ spl15_20 ),
inference(superposition,[],[f246,f751]) ).
fof(f751,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f69,f165]) ).
fof(f246,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl15_20
<=> ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f824,plain,
( ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14
| spl15_23 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14
| spl15_23 ),
inference(subsumption_resolution,[],[f822,f292]) ).
fof(f292,plain,
( sk_c10 != sk_c9
| spl15_23 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f822,plain,
( sk_c10 = sk_c9
| ~ spl15_4
| ~ spl15_5
| ~ spl15_11
| ~ spl15_14 ),
inference(forward_demodulation,[],[f432,f755]) ).
fof(f432,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl15_4
| ~ spl15_5 ),
inference(superposition,[],[f420,f262]) ).
fof(f420,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c3,X10)) = X10
| ~ spl15_4 ),
inference(forward_demodulation,[],[f409,f1]) ).
fof(f409,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c3,X10)) = multiply(identity,X10)
| ~ spl15_4 ),
inference(superposition,[],[f3,f271]) ).
fof(f271,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_4 ),
inference(superposition,[],[f2,f264]) ).
fof(f264,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f65,f145]) ).
fof(f145,plain,
( sk_c11 = sF3
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f820,plain,
( spl15_34
| ~ spl15_1
| ~ spl15_11
| ~ spl15_38 ),
inference(avatar_split_clause,[],[f812,f378,f181,f130,f352]) ).
fof(f378,plain,
( spl15_38
<=> sk_c11 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f812,plain,
( sk_c11 = inverse(sk_c4)
| ~ spl15_1
| ~ spl15_11
| ~ spl15_38 ),
inference(backward_demodulation,[],[f379,f811]) ).
fof(f811,plain,
( sk_c4 = sk_c6
| ~ spl15_1
| ~ spl15_11 ),
inference(backward_demodulation,[],[f727,f632]) ).
fof(f727,plain,
( sk_c6 = multiply(inverse(sk_c11),identity)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f458,f183]) ).
fof(f458,plain,
sk_c6 = multiply(inverse(sF1),identity),
inference(superposition,[],[f424,f268]) ).
fof(f268,plain,
identity = multiply(sF1,sk_c6),
inference(superposition,[],[f2,f61]) ).
fof(f379,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl15_38 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f742,plain,
( ~ spl15_10
| spl15_21 ),
inference(avatar_contradiction_clause,[],[f741]) ).
fof(f741,plain,
( $false
| ~ spl15_10
| spl15_21 ),
inference(subsumption_resolution,[],[f739,f283]) ).
fof(f283,plain,
( sk_c10 != inverse(sk_c5)
| spl15_21 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl15_21
<=> sk_c10 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f739,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl15_10 ),
inference(backward_demodulation,[],[f87,f175]) ).
fof(f730,plain,
( spl15_38
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f729,f181,f378]) ).
fof(f729,plain,
( sk_c11 = inverse(sk_c6)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f61,f183]) ).
fof(f655,plain,
( ~ spl15_12
| spl15_27
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| ~ spl15_12
| spl15_27
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f653,f516]) ).
fof(f516,plain,
( identity = inverse(identity)
| ~ spl15_12
| ~ spl15_37 ),
inference(backward_demodulation,[],[f492,f515]) ).
fof(f515,plain,
( identity = sk_c2
| ~ spl15_12
| ~ spl15_37 ),
inference(forward_demodulation,[],[f503,f2]) ).
fof(f503,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl15_12
| ~ spl15_37 ),
inference(backward_demodulation,[],[f450,f367]) ).
fof(f450,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl15_12 ),
inference(superposition,[],[f424,f270]) ).
fof(f270,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl15_12 ),
inference(superposition,[],[f2,f259]) ).
fof(f259,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f84,f188]) ).
fof(f188,plain,
( sk_c10 = sF13
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f186,plain,
( spl15_12
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f84,plain,
inverse(sk_c2) = sF13,
introduced(function_definition,[]) ).
fof(f492,plain,
( identity = inverse(sk_c2)
| ~ spl15_12
| ~ spl15_37 ),
inference(backward_demodulation,[],[f259,f367]) ).
fof(f653,plain,
( identity != inverse(identity)
| ~ spl15_12
| spl15_27
| ~ spl15_37 ),
inference(forward_demodulation,[],[f652,f516]) ).
fof(f652,plain,
( identity != inverse(inverse(identity))
| spl15_27
| ~ spl15_37 ),
inference(forward_demodulation,[],[f310,f367]) ).
fof(f310,plain,
( sk_c10 != inverse(inverse(sk_c10))
| spl15_27 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl15_27
<=> sk_c10 = inverse(inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f596,plain,
( ~ spl15_12
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl15_12
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f594,f1]) ).
fof(f594,plain,
( identity != multiply(identity,identity)
| ~ spl15_12
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(forward_demodulation,[],[f581,f516]) ).
fof(f581,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(superposition,[],[f573,f2]) ).
fof(f573,plain,
( ! [X9] :
( identity != multiply(inverse(X9),identity)
| identity != multiply(X9,inverse(X9)) )
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(forward_demodulation,[],[f572,f367]) ).
fof(f572,plain,
( ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| identity != multiply(inverse(X9),identity) )
| ~ spl15_20
| ~ spl15_26
| ~ spl15_37 ),
inference(forward_demodulation,[],[f571,f367]) ).
fof(f571,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),identity)
| sk_c10 != multiply(X9,inverse(X9)) )
| ~ spl15_20
| ~ spl15_26 ),
inference(forward_demodulation,[],[f246,f305]) ).
fof(f569,plain,
( ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_19
| ~ spl15_26
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f568]) ).
fof(f568,plain,
( $false
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_19
| ~ spl15_26
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f567,f261]) ).
fof(f261,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_7 ),
inference(backward_demodulation,[],[f60,f160]) ).
fof(f160,plain,
( sk_c11 = sF0
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f158,plain,
( spl15_7
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f60,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f567,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_19
| ~ spl15_26
| ~ spl15_37 ),
inference(trivial_inequality_removal,[],[f563]) ).
fof(f563,plain,
( sk_c11 != sk_c11
| sk_c11 != inverse(sk_c1)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_19
| ~ spl15_26
| ~ spl15_37 ),
inference(superposition,[],[f491,f534]) ).
fof(f534,plain,
( sk_c11 = multiply(sk_c1,identity)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7
| ~ spl15_26 ),
inference(backward_demodulation,[],[f474,f305]) ).
fof(f474,plain,
( sk_c11 = multiply(sk_c1,sk_c9)
| ~ spl15_4
| ~ spl15_5
| ~ spl15_7 ),
inference(backward_demodulation,[],[f262,f469]) ).
fof(f469,plain,
( sk_c1 = sk_c3
| ~ spl15_4
| ~ spl15_7 ),
inference(forward_demodulation,[],[f448,f447]) ).
fof(f447,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_7 ),
inference(superposition,[],[f424,f265]) ).
fof(f265,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl15_7 ),
inference(superposition,[],[f2,f261]) ).
fof(f448,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_4 ),
inference(superposition,[],[f424,f271]) ).
fof(f491,plain,
( ! [X8] :
( sk_c11 != multiply(X8,identity)
| sk_c11 != inverse(X8) )
| ~ spl15_19
| ~ spl15_37 ),
inference(backward_demodulation,[],[f243,f367]) ).
fof(f243,plain,
( ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl15_19
<=> ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f528,plain,
( spl15_26
| ~ spl15_12
| ~ spl15_13
| ~ spl15_37 ),
inference(avatar_split_clause,[],[f527,f366,f191,f186,f304]) ).
fof(f191,plain,
( spl15_13
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f527,plain,
( identity = sk_c9
| ~ spl15_12
| ~ spl15_13
| ~ spl15_37 ),
inference(forward_demodulation,[],[f517,f1]) ).
fof(f517,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl15_12
| ~ spl15_13
| ~ spl15_37 ),
inference(backward_demodulation,[],[f493,f515]) ).
fof(f493,plain,
( sk_c9 = multiply(sk_c2,identity)
| ~ spl15_13
| ~ spl15_37 ),
inference(backward_demodulation,[],[f260,f367]) ).
fof(f260,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f73,f193]) ).
fof(f193,plain,
( sk_c9 = sF8
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f73,plain,
multiply(sk_c2,sk_c10) = sF8,
introduced(function_definition,[]) ).
fof(f486,plain,
( spl15_37
| ~ spl15_2
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f485,f158,f134,f366]) ).
fof(f134,plain,
( spl15_2
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f485,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_7 ),
inference(forward_demodulation,[],[f482,f2]) ).
fof(f482,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_2
| ~ spl15_7 ),
inference(superposition,[],[f424,f463]) ).
fof(f463,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_2
| ~ spl15_7 ),
inference(forward_demodulation,[],[f446,f261]) ).
fof(f446,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl15_2 ),
inference(superposition,[],[f424,f263]) ).
fof(f263,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl15_2 ),
inference(backward_demodulation,[],[f63,f136]) ).
fof(f136,plain,
( sk_c10 = sF2
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f63,plain,
multiply(sk_c1,sk_c11) = sF2,
introduced(function_definition,[]) ).
fof(f381,plain,
( ~ spl15_14
| ~ spl15_38
| ~ spl15_19 ),
inference(avatar_split_clause,[],[f375,f242,f378,f198]) ).
fof(f375,plain,
( sk_c11 != inverse(sk_c6)
| sk_c11 != sF4
| ~ spl15_19 ),
inference(superposition,[],[f243,f66]) ).
fof(f371,plain,
( ~ spl15_2
| ~ spl15_7
| ~ spl15_18 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f370,plain,
( $false
| ~ spl15_2
| ~ spl15_7
| ~ spl15_18 ),
inference(subsumption_resolution,[],[f350,f261]) ).
fof(f350,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl15_2
| ~ spl15_18 ),
inference(trivial_inequality_removal,[],[f348]) ).
fof(f348,plain,
( sk_c11 != inverse(sk_c1)
| sk_c10 != sk_c10
| ~ spl15_2
| ~ spl15_18 ),
inference(superposition,[],[f240,f263]) ).
fof(f240,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl15_18
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f355,plain,
( ~ spl15_34
| ~ spl15_9
| ~ spl15_18 ),
inference(avatar_split_clause,[],[f349,f239,f168,f352]) ).
fof(f168,plain,
( spl15_9
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f349,plain,
( sk_c10 != sF9
| sk_c11 != inverse(sk_c4)
| ~ spl15_18 ),
inference(superposition,[],[f240,f75]) ).
fof(f75,plain,
multiply(sk_c4,sk_c11) = sF9,
introduced(function_definition,[]) ).
fof(f345,plain,
( ~ spl15_4
| ~ spl15_5
| ~ spl15_17 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl15_4
| ~ spl15_5
| ~ spl15_17 ),
inference(subsumption_resolution,[],[f316,f264]) ).
fof(f316,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl15_5
| ~ spl15_17 ),
inference(trivial_inequality_removal,[],[f315]) ).
fof(f315,plain,
( sk_c11 != inverse(sk_c3)
| sk_c11 != sk_c11
| ~ spl15_5
| ~ spl15_17 ),
inference(superposition,[],[f237,f262]) ).
fof(f311,plain,
( ~ spl15_26
| ~ spl15_27
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f273,f233,f308,f304]) ).
fof(f233,plain,
( spl15_16
<=> ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f273,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| ~ spl15_16 ),
inference(superposition,[],[f234,f2]) ).
fof(f234,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c10)
| sk_c10 != inverse(X7) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f284,plain,
( ~ spl15_21
| ~ spl15_6
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f274,f233,f153,f281]) ).
fof(f274,plain,
( sk_c9 != sF11
| sk_c10 != inverse(sk_c5)
| ~ spl15_16 ),
inference(superposition,[],[f234,f81]) ).
fof(f279,plain,
( ~ spl15_12
| ~ spl15_13
| ~ spl15_16 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl15_12
| ~ spl15_13
| ~ spl15_16 ),
inference(subsumption_resolution,[],[f277,f259]) ).
fof(f277,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl15_13
| ~ spl15_16 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl15_13
| ~ spl15_16 ),
inference(superposition,[],[f234,f260]) ).
fof(f257,plain,
( spl15_14
| spl15_13 ),
inference(avatar_split_clause,[],[f109,f191,f198]) ).
fof(f109,plain,
( sk_c9 = sF8
| sk_c11 = sF4 ),
inference(definition_folding,[],[f27,f73,f66]) ).
fof(f27,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f256,plain,
( spl15_7
| spl15_14 ),
inference(avatar_split_clause,[],[f106,f198,f158]) ).
fof(f106,plain,
( sk_c11 = sF4
| sk_c11 = sF0 ),
inference(definition_folding,[],[f18,f66,f60]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f254,plain,
( spl15_4
| spl15_6 ),
inference(avatar_split_clause,[],[f82,f153,f143]) ).
fof(f82,plain,
( sk_c9 = sF11
| sk_c11 = sF3 ),
inference(definition_folding,[],[f42,f65,f81]) ).
fof(f42,axiom,
( multiply(sk_c5,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f253,plain,
( spl15_12
| spl15_11 ),
inference(avatar_split_clause,[],[f93,f181,f186]) ).
fof(f93,plain,
( sk_c11 = sF1
| sk_c10 = sF13 ),
inference(definition_folding,[],[f35,f61,f84]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f252,plain,
( spl15_12
| spl15_6 ),
inference(avatar_split_clause,[],[f122,f153,f186]) ).
fof(f122,plain,
( sk_c9 = sF11
| sk_c10 = sF13 ),
inference(definition_folding,[],[f33,f81,f84]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f250,plain,
( spl15_14
| spl15_4 ),
inference(avatar_split_clause,[],[f67,f143,f198]) ).
fof(f67,plain,
( sk_c11 = sF3
| sk_c11 = sF4 ),
inference(definition_folding,[],[f45,f66,f65]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f248,plain,
( spl15_15
| spl15_7 ),
inference(avatar_split_clause,[],[f118,f158,f207]) ).
fof(f118,plain,
( sk_c11 = sF0
| sk_c10 = sF7 ),
inference(definition_folding,[],[f19,f72,f60]) ).
fof(f19,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f247,plain,
( spl15_16
| spl15_17
| spl15_18
| spl15_19
| spl15_16
| spl15_18
| spl15_20 ),
inference(avatar_split_clause,[],[f59,f245,f239,f233,f242,f239,f236,f233]) ).
fof(f59,plain,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != inverse(X6)
| sk_c9 != multiply(X4,sk_c10)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != multiply(X6,sk_c11)
| sk_c10 != multiply(inverse(X9),sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X5,sk_c9)
| sk_c9 != multiply(X7,sk_c10)
| sk_c11 != inverse(X8)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X4) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X10,sk_c9)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X3)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X8)
| sk_c9 != multiply(X4,sk_c10)
| sk_c10 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6)
| inverse(X9) != X10
| sk_c10 != multiply(X9,X10)
| sk_c10 != inverse(X7)
| sk_c9 != multiply(X7,sk_c10)
| sk_c11 != multiply(X5,sk_c9)
| sk_c10 != multiply(X3,sk_c11)
| sk_c10 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f231,plain,
( spl15_5
| spl15_10 ),
inference(avatar_split_clause,[],[f121,f173,f148]) ).
fof(f121,plain,
( sk_c10 = sF14
| sk_c11 = sF5 ),
inference(definition_folding,[],[f52,f68,f87]) ).
fof(f52,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f230,plain,
( spl15_3
| spl15_5 ),
inference(avatar_split_clause,[],[f110,f148,f139]) ).
fof(f110,plain,
( sk_c11 = sF5
| sk_c10 = sF10 ),
inference(definition_folding,[],[f57,f68,f79]) ).
fof(f57,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f228,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f103,f153,f148]) ).
fof(f103,plain,
( sk_c9 = sF11
| sk_c11 = sF5 ),
inference(definition_folding,[],[f51,f81,f68]) ).
fof(f51,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| multiply(sk_c5,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f226,plain,
( spl15_11
| spl15_4 ),
inference(avatar_split_clause,[],[f125,f143,f181]) ).
fof(f125,plain,
( sk_c11 = sF3
| sk_c11 = sF1 ),
inference(definition_folding,[],[f44,f65,f61]) ).
fof(f44,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f225,plain,
( spl15_9
| spl15_7 ),
inference(avatar_split_clause,[],[f101,f158,f168]) ).
fof(f101,plain,
( sk_c11 = sF0
| sk_c10 = sF9 ),
inference(definition_folding,[],[f13,f75,f60]) ).
fof(f13,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f223,plain,
( spl15_10
| spl15_12 ),
inference(avatar_split_clause,[],[f95,f186,f173]) ).
fof(f95,plain,
( sk_c10 = sF13
| sk_c10 = sF14 ),
inference(definition_folding,[],[f34,f87,f84]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f222,plain,
( spl15_3
| spl15_12 ),
inference(avatar_split_clause,[],[f115,f186,f139]) ).
fof(f115,plain,
( sk_c10 = sF13
| sk_c10 = sF10 ),
inference(definition_folding,[],[f39,f84,f79]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c8,sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f221,plain,
( spl15_12
| spl15_1 ),
inference(avatar_split_clause,[],[f85,f130,f186]) ).
fof(f85,plain,
( sk_c11 = sF12
| sk_c10 = sF13 ),
inference(definition_folding,[],[f32,f84,f83]) ).
fof(f32,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f220,plain,
( spl15_4
| spl15_15 ),
inference(avatar_split_clause,[],[f77,f207,f143]) ).
fof(f77,plain,
( sk_c10 = sF7
| sk_c11 = sF3 ),
inference(definition_folding,[],[f46,f65,f72]) ).
fof(f46,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f218,plain,
( spl15_15
| spl15_2 ),
inference(avatar_split_clause,[],[f123,f134,f207]) ).
fof(f123,plain,
( sk_c10 = sF2
| sk_c10 = sF7 ),
inference(definition_folding,[],[f10,f72,f63]) ).
fof(f10,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f216,plain,
( spl15_9
| spl15_5 ),
inference(avatar_split_clause,[],[f76,f148,f168]) ).
fof(f76,plain,
( sk_c11 = sF5
| sk_c10 = sF9 ),
inference(definition_folding,[],[f49,f75,f68]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f215,plain,
( spl15_12
| spl15_14 ),
inference(avatar_split_clause,[],[f108,f198,f186]) ).
fof(f108,plain,
( sk_c11 = sF4
| sk_c10 = sF13 ),
inference(definition_folding,[],[f36,f84,f66]) ).
fof(f36,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f213,plain,
( spl15_12
| spl15_15 ),
inference(avatar_split_clause,[],[f91,f207,f186]) ).
fof(f91,plain,
( sk_c10 = sF7
| sk_c10 = sF13 ),
inference(definition_folding,[],[f37,f72,f84]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f212,plain,
( spl15_2
| spl15_9 ),
inference(avatar_split_clause,[],[f105,f168,f134]) ).
fof(f105,plain,
( sk_c10 = sF9
| sk_c10 = sF2 ),
inference(definition_folding,[],[f4,f75,f63]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c4,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f211,plain,
( spl15_11
| spl15_5 ),
inference(avatar_split_clause,[],[f126,f148,f181]) ).
fof(f126,plain,
( sk_c11 = sF5
| sk_c11 = sF1 ),
inference(definition_folding,[],[f53,f68,f61]) ).
fof(f53,axiom,
( sk_c11 = inverse(sk_c6)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f210,plain,
( spl15_5
| spl15_15 ),
inference(avatar_split_clause,[],[f117,f207,f148]) ).
fof(f117,plain,
( sk_c10 = sF7
| sk_c11 = sF5 ),
inference(definition_folding,[],[f55,f72,f68]) ).
fof(f55,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f205,plain,
( spl15_8
| spl15_5 ),
inference(avatar_split_clause,[],[f70,f148,f163]) ).
fof(f70,plain,
( sk_c11 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f56,f69,f68]) ).
fof(f56,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f202,plain,
( spl15_13
| spl15_11 ),
inference(avatar_split_clause,[],[f78,f181,f191]) ).
fof(f78,plain,
( sk_c11 = sF1
| sk_c9 = sF8 ),
inference(definition_folding,[],[f26,f61,f73]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f201,plain,
( spl15_14
| spl15_5 ),
inference(avatar_split_clause,[],[f89,f148,f198]) ).
fof(f89,plain,
( sk_c11 = sF5
| sk_c11 = sF4 ),
inference(definition_folding,[],[f54,f68,f66]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c6,sk_c10)
| sk_c11 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f196,plain,
( spl15_11
| spl15_7 ),
inference(avatar_split_clause,[],[f62,f158,f181]) ).
fof(f62,plain,
( sk_c11 = sF0
| sk_c11 = sF1 ),
inference(definition_folding,[],[f17,f61,f60]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f189,plain,
( spl15_8
| spl15_12 ),
inference(avatar_split_clause,[],[f97,f186,f163]) ).
fof(f97,plain,
( sk_c10 = sF13
| sk_c8 = sF6 ),
inference(definition_folding,[],[f38,f84,f69]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f184,plain,
( spl15_11
| spl15_2 ),
inference(avatar_split_clause,[],[f64,f134,f181]) ).
fof(f64,plain,
( sk_c10 = sF2
| sk_c11 = sF1 ),
inference(definition_folding,[],[f8,f63,f61]) ).
fof(f8,axiom,
( sk_c11 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f179,plain,
( spl15_4
| spl15_1 ),
inference(avatar_split_clause,[],[f86,f130,f143]) ).
fof(f86,plain,
( sk_c11 = sF12
| sk_c11 = sF3 ),
inference(definition_folding,[],[f41,f65,f83]) ).
fof(f41,axiom,
( sk_c11 = inverse(sk_c4)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f178,plain,
( spl15_8
| spl15_7 ),
inference(avatar_split_clause,[],[f116,f158,f163]) ).
fof(f116,plain,
( sk_c11 = sF0
| sk_c8 = sF6 ),
inference(definition_folding,[],[f20,f60,f69]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f177,plain,
( spl15_4
| spl15_8 ),
inference(avatar_split_clause,[],[f94,f163,f143]) ).
fof(f94,plain,
( sk_c8 = sF6
| sk_c11 = sF3 ),
inference(definition_folding,[],[f47,f65,f69]) ).
fof(f47,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f176,plain,
( spl15_4
| spl15_10 ),
inference(avatar_split_clause,[],[f92,f173,f143]) ).
fof(f92,plain,
( sk_c10 = sF14
| sk_c11 = sF3 ),
inference(definition_folding,[],[f43,f65,f87]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c5)
| sk_c11 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f166,plain,
( spl15_8
| spl15_2 ),
inference(avatar_split_clause,[],[f71,f134,f163]) ).
fof(f71,plain,
( sk_c10 = sF2
| sk_c8 = sF6 ),
inference(definition_folding,[],[f11,f63,f69]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c7)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f161,plain,
( spl15_7
| spl15_1 ),
inference(avatar_split_clause,[],[f102,f130,f158]) ).
fof(f102,plain,
( sk_c11 = sF12
| sk_c11 = sF0 ),
inference(definition_folding,[],[f14,f83,f60]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f151,plain,
( spl15_1
| spl15_5 ),
inference(avatar_split_clause,[],[f119,f148,f130]) ).
fof(f119,plain,
( sk_c11 = sF5
| sk_c11 = sF12 ),
inference(definition_folding,[],[f50,f83,f68]) ).
fof(f50,axiom,
( sk_c11 = multiply(sk_c3,sk_c9)
| sk_c11 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f137,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f99,f134,f130]) ).
fof(f99,plain,
( sk_c10 = sF2
| sk_c11 = sF12 ),
inference(definition_folding,[],[f5,f63,f83]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP246-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % 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 : n004.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 22:19:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.36/0.53 % (30067)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.53 % (30082)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)
% 1.36/0.54 % (30074)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)
% 1.36/0.54 % (30075)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)
% 1.36/0.54 % (30090)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)
% 1.47/0.54 % (30074)Instruction limit reached!
% 1.47/0.54 % (30074)------------------------------
% 1.47/0.54 % (30074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (30091)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)
% 1.47/0.54 % (30062)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.47/0.55 % (30065)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)
% 1.47/0.55 % (30075)Instruction limit reached!
% 1.47/0.55 % (30075)------------------------------
% 1.47/0.55 % (30075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (30082)Instruction limit reached!
% 1.47/0.55 % (30082)------------------------------
% 1.47/0.55 % (30082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (30074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (30074)Termination reason: Unknown
% 1.47/0.55 % (30074)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (30074)Memory used [KB]: 6012
% 1.47/0.55 % (30074)Time elapsed: 0.129 s
% 1.47/0.55 % (30074)Instructions burned: 5 (million)
% 1.47/0.55 % (30074)------------------------------
% 1.47/0.55 % (30074)------------------------------
% 1.47/0.55 % (30082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (30082)Termination reason: Unknown
% 1.47/0.55 % (30082)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (30082)Memory used [KB]: 1407
% 1.47/0.55 % (30082)Time elapsed: 0.005 s
% 1.47/0.55 % (30082)Instructions burned: 6 (million)
% 1.47/0.55 % (30082)------------------------------
% 1.47/0.55 % (30082)------------------------------
% 1.47/0.55 % (30090)Instruction limit reached!
% 1.47/0.55 % (30090)------------------------------
% 1.47/0.55 % (30090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (30090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (30090)Termination reason: Unknown
% 1.47/0.55 % (30090)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (30090)Memory used [KB]: 6268
% 1.47/0.55 % (30090)Time elapsed: 0.142 s
% 1.47/0.55 % (30090)Instructions burned: 21 (million)
% 1.47/0.55 % (30090)------------------------------
% 1.47/0.55 % (30090)------------------------------
% 1.47/0.55 % (30068)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)
% 1.47/0.55 % (30075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (30075)Termination reason: Unknown
% 1.47/0.55 % (30075)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (30075)Memory used [KB]: 5884
% 1.47/0.55 % (30075)Time elapsed: 0.005 s
% 1.47/0.55 % (30075)Instructions burned: 3 (million)
% 1.47/0.55 % (30075)------------------------------
% 1.47/0.55 % (30075)------------------------------
% 1.47/0.56 % (30072)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)
% 1.47/0.56 % (30064)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)
% 1.47/0.56 % (30064)Instruction limit reached!
% 1.47/0.56 % (30064)------------------------------
% 1.47/0.56 % (30064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (30064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (30064)Termination reason: Unknown
% 1.47/0.56 % (30064)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (30064)Memory used [KB]: 5884
% 1.47/0.56 % (30064)Time elapsed: 0.003 s
% 1.47/0.56 % (30064)Instructions burned: 5 (million)
% 1.47/0.56 % (30064)------------------------------
% 1.47/0.56 % (30064)------------------------------
% 1.47/0.56 % (30070)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)
% 1.47/0.56 % (30084)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)
% 1.47/0.56 % (30085)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)
% 1.47/0.56 % (30070)Instruction limit reached!
% 1.47/0.56 % (30070)------------------------------
% 1.47/0.56 % (30070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (30070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (30070)Termination reason: Unknown
% 1.47/0.56 % (30070)Termination phase: Saturation
% 1.47/0.56
% 1.47/0.56 % (30070)Memory used [KB]: 5884
% 1.47/0.56 % (30070)Time elapsed: 0.003 s
% 1.47/0.56 % (30070)Instructions burned: 5 (million)
% 1.47/0.56 % (30070)------------------------------
% 1.47/0.56 % (30070)------------------------------
% 1.47/0.56 % (30081)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)
% 1.47/0.56 % (30071)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)
% 1.47/0.56 % (30087)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)
% 1.47/0.56 % (30085)Refutation not found, incomplete strategy% (30085)------------------------------
% 1.47/0.56 % (30085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (30085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (30085)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.56
% 1.47/0.56 % (30085)Memory used [KB]: 5884
% 1.47/0.56 % (30085)Time elapsed: 0.112 s
% 1.47/0.56 % (30085)Instructions burned: 5 (million)
% 1.47/0.56 % (30085)------------------------------
% 1.47/0.56 % (30085)------------------------------
% 1.47/0.56 % (30065)Refutation not found, incomplete strategy% (30065)------------------------------
% 1.47/0.56 % (30065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.56 % (30065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.56 % (30065)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.56
% 1.47/0.56 % (30065)Memory used [KB]: 5884
% 1.47/0.56 % (30065)Time elapsed: 0.136 s
% 1.47/0.56 % (30065)Instructions burned: 5 (million)
% 1.47/0.56 % (30065)------------------------------
% 1.47/0.56 % (30065)------------------------------
% 1.47/0.56 % (30089)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)
% 1.47/0.56 % (30076)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)
% 1.47/0.56 % (30077)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)
% 1.47/0.56 % (30079)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.47/0.57 % (30077)Instruction limit reached!
% 1.47/0.57 % (30077)------------------------------
% 1.47/0.57 % (30077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (30077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (30077)Termination reason: Unknown
% 1.47/0.57 % (30077)Termination phase: Finite model building preprocessing
% 1.47/0.57
% 1.47/0.57 % (30077)Memory used [KB]: 1535
% 1.47/0.57 % (30077)Time elapsed: 0.004 s
% 1.47/0.57 % (30077)Instructions burned: 8 (million)
% 1.47/0.57 % (30077)------------------------------
% 1.47/0.57 % (30077)------------------------------
% 1.47/0.57 % (30063)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)
% 1.47/0.57 % (30066)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)
% 1.47/0.57 % (30078)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)
% 1.47/0.57 % (30086)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)
% 1.47/0.57 % (30073)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)
% 1.47/0.57 % (30079)Instruction limit reached!
% 1.47/0.57 % (30079)------------------------------
% 1.47/0.57 % (30079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.57 % (30079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.57 % (30079)Termination reason: Unknown
% 1.47/0.57 % (30079)Termination phase: Saturation
% 1.47/0.57
% 1.47/0.57 % (30079)Memory used [KB]: 6012
% 1.47/0.57 % (30079)Time elapsed: 0.161 s
% 1.47/0.57 % (30079)Instructions burned: 8 (million)
% 1.47/0.57 % (30079)------------------------------
% 1.47/0.57 % (30079)------------------------------
% 1.47/0.57 % (30088)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)
% 1.47/0.58 % (30067)Instruction limit reached!
% 1.47/0.58 % (30067)------------------------------
% 1.47/0.58 % (30067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58 % (30067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58 % (30067)Termination reason: Unknown
% 1.47/0.58 % (30067)Termination phase: Saturation
% 1.47/0.58
% 1.47/0.58 % (30067)Memory used [KB]: 6268
% 1.47/0.58 % (30067)Time elapsed: 0.143 s
% 1.47/0.58 % (30067)Instructions burned: 26 (million)
% 1.47/0.58 % (30067)------------------------------
% 1.47/0.58 % (30067)------------------------------
% 1.47/0.58 % (30080)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)
% 1.47/0.58 % (30083)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)
% 1.47/0.58 % (30081)Instruction limit reached!
% 1.47/0.58 % (30081)------------------------------
% 1.47/0.58 % (30081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58 % (30081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58 % (30081)Termination reason: Unknown
% 1.47/0.58 % (30081)Termination phase: Saturation
% 1.47/0.58
% 1.47/0.58 % (30081)Memory used [KB]: 6012
% 1.47/0.58 % (30081)Time elapsed: 0.172 s
% 1.47/0.58 % (30081)Instructions burned: 8 (million)
% 1.47/0.58 % (30081)------------------------------
% 1.47/0.58 % (30081)------------------------------
% 1.47/0.58 % (30069)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)
% 1.47/0.58 % (30078)Instruction limit reached!
% 1.47/0.58 % (30078)------------------------------
% 1.47/0.58 % (30078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.58 % (30078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.58 % (30078)Termination reason: Unknown
% 1.47/0.58 % (30078)Termination phase: Saturation
% 1.47/0.58
% 1.47/0.58 % (30078)Memory used [KB]: 5884
% 1.47/0.58 % (30078)Time elapsed: 0.004 s
% 1.47/0.58 % (30078)Instructions burned: 3 (million)
% 1.47/0.58 % (30078)------------------------------
% 1.47/0.58 % (30078)------------------------------
% 1.47/0.59 % (30072)Instruction limit reached!
% 1.47/0.59 % (30072)------------------------------
% 1.47/0.59 % (30072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.59 % (30072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59 % (30072)Termination reason: Unknown
% 1.47/0.59 % (30072)Termination phase: Saturation
% 1.47/0.59
% 1.47/0.59 % (30072)Memory used [KB]: 5884
% 1.47/0.59 % (30072)Time elapsed: 0.138 s
% 1.47/0.59 % (30072)Instructions burned: 7 (million)
% 1.47/0.59 % (30072)------------------------------
% 1.47/0.59 % (30072)------------------------------
% 1.47/0.59 % (30088)Refutation not found, incomplete strategy% (30088)------------------------------
% 1.47/0.59 % (30088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.59 % (30088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.59 % (30088)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.59
% 1.47/0.59 % (30088)Memory used [KB]: 6012
% 1.47/0.59 % (30088)Time elapsed: 0.183 s
% 1.47/0.59 % (30088)Instructions burned: 6 (million)
% 1.47/0.59 % (30088)------------------------------
% 1.47/0.59 % (30088)------------------------------
% 1.47/0.60 % (30073)Instruction limit reached!
% 1.47/0.60 % (30073)------------------------------
% 1.47/0.60 % (30073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.60 % (30073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.60 % (30073)Termination reason: Unknown
% 1.47/0.60 % (30073)Termination phase: Saturation
% 1.47/0.60
% 1.47/0.60 % (30073)Memory used [KB]: 6396
% 1.47/0.60 % (30073)Time elapsed: 0.182 s
% 1.47/0.60 % (30073)Instructions burned: 23 (million)
% 1.47/0.60 % (30073)------------------------------
% 1.47/0.60 % (30073)------------------------------
% 1.47/0.61 % (30083)Refutation not found, incomplete strategy% (30083)------------------------------
% 1.47/0.61 % (30083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.61 % (30083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.61 % (30083)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.61
% 1.47/0.61 % (30083)Memory used [KB]: 5884
% 1.47/0.61 % (30083)Time elapsed: 0.181 s
% 1.47/0.61 % (30083)Instructions burned: 5 (million)
% 1.47/0.61 % (30083)------------------------------
% 1.47/0.61 % (30083)------------------------------
% 1.47/0.61 % (30062)First to succeed.
% 1.47/0.62 % (30066)Instruction limit reached!
% 1.47/0.62 % (30066)------------------------------
% 1.47/0.62 % (30066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62 % (30063)Instruction limit reached!
% 1.47/0.62 % (30063)------------------------------
% 1.47/0.62 % (30063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62 % (30063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62 % (30063)Termination reason: Unknown
% 1.47/0.62 % (30063)Termination phase: Saturation
% 1.47/0.62
% 1.47/0.62 % (30063)Memory used [KB]: 1791
% 1.47/0.62 % (30063)Time elapsed: 0.157 s
% 1.47/0.62 % (30063)Instructions burned: 42 (million)
% 1.47/0.62 % (30063)------------------------------
% 1.47/0.62 % (30063)------------------------------
% 1.47/0.62 % (30062)Refutation found. Thanks to Tanya!
% 1.47/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.47/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.62 % (30062)------------------------------
% 1.47/0.62 % (30062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.62 % (30062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.62 % (30062)Termination reason: Refutation
% 1.47/0.62
% 1.47/0.62 % (30062)Memory used [KB]: 6524
% 1.47/0.62 % (30062)Time elapsed: 0.193 s
% 1.47/0.62 % (30062)Instructions burned: 39 (million)
% 1.47/0.62 % (30062)------------------------------
% 1.47/0.62 % (30062)------------------------------
% 1.47/0.62 % (30061)Success in time 0.26 s
%------------------------------------------------------------------------------