TSTP Solution File: GRP326-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP326-1 : 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 : n013.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 16:15:22 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 51
% Syntax : Number of formulae : 253 ( 32 unt; 0 def)
% Number of atoms : 927 ( 295 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1304 ( 630 ~; 658 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1155,plain,
$false,
inference(avatar_sat_refutation,[],[f67,f76,f81,f90,f91,f92,f93,f98,f103,f104,f105,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f223,f274,f340,f354,f950,f953,f985,f1001,f1040,f1145,f1151,f1154]) ).
fof(f1154,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f1152,f1091]) ).
fof(f1091,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1038,f1044]) ).
fof(f1044,plain,
( identity = sk_c7
| ~ spl10_9
| ~ spl10_15 ),
inference(backward_demodulation,[],[f102,f313]) ).
fof(f313,plain,
( identity = sF0
| ~ spl10_15 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl10_15
<=> identity = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f102,plain,
( sk_c7 = sF0
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl10_9
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f1038,plain,
( sk_c6 = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f1015,f1018]) ).
fof(f1018,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f1007,f1013]) ).
fof(f1013,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f596,f1009]) ).
fof(f1009,plain,
( sk_c6 = sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f605,f992]) ).
fof(f992,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f373,f983]) ).
fof(f983,plain,
( sk_c7 = sk_c5
| ~ spl10_1
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f602,f981]) ).
fof(f981,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl10_7
| ~ spl10_9 ),
inference(superposition,[],[f151,f741]) ).
fof(f741,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl10_7
| ~ spl10_9 ),
inference(forward_demodulation,[],[f740,f89]) ).
fof(f89,plain,
( sk_c7 = sF6
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl10_7
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f740,plain,
( sk_c6 = multiply(sF6,sk_c7)
| ~ spl10_9 ),
inference(forward_demodulation,[],[f198,f102]) ).
fof(f198,plain,
sk_c6 = multiply(sF6,sF0),
inference(forward_demodulation,[],[f174,f39]) ).
fof(f39,plain,
inverse(sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f174,plain,
sk_c6 = multiply(inverse(sk_c4),sF0),
inference(superposition,[],[f151,f27]) ).
fof(f27,plain,
multiply(sk_c4,sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f151,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f142,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f142,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f602,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f171,f62]) ).
fof(f62,plain,
( sk_c6 = sF8
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl10_1
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f171,plain,
sk_c5 = multiply(inverse(sk_c7),sF8),
inference(superposition,[],[f151,f44]) ).
fof(f44,plain,
multiply(sk_c7,sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f373,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl10_4 ),
inference(forward_demodulation,[],[f176,f75]) ).
fof(f75,plain,
( sk_c5 = sF4
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl10_4
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f176,plain,
sk_c6 = multiply(inverse(sF4),identity),
inference(superposition,[],[f151,f136]) ).
fof(f136,plain,
identity = multiply(sF4,sk_c6),
inference(superposition,[],[f2,f33]) ).
fof(f33,plain,
inverse(sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f605,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f177,f89]) ).
fof(f177,plain,
sk_c4 = multiply(inverse(sF6),identity),
inference(superposition,[],[f151,f138]) ).
fof(f138,plain,
identity = multiply(sF6,sk_c4),
inference(superposition,[],[f2,f39]) ).
fof(f596,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl10_7 ),
inference(backward_demodulation,[],[f159,f89]) ).
fof(f159,plain,
! [X0] : multiply(sF6,multiply(sk_c4,X0)) = X0,
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
! [X0] : multiply(identity,X0) = multiply(sF6,multiply(sk_c4,X0)),
inference(superposition,[],[f3,f138]) ).
fof(f1007,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f982,f1002]) ).
fof(f1002,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f998,f982]) ).
fof(f998,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c7,X0)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f958,f983]) ).
fof(f958,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl10_4
| ~ spl10_11 ),
inference(superposition,[],[f3,f601]) ).
fof(f601,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl10_4
| ~ spl10_11 ),
inference(backward_demodulation,[],[f208,f75]) ).
fof(f208,plain,
( sk_c7 = multiply(sF4,sk_c5)
| ~ spl10_11 ),
inference(forward_demodulation,[],[f168,f33]) ).
fof(f168,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl10_11 ),
inference(superposition,[],[f151,f132]) ).
fof(f132,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl10_11 ),
inference(backward_demodulation,[],[f53,f111]) ).
fof(f111,plain,
( sk_c5 = sF9
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl10_11
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f53,plain,
multiply(sk_c6,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f982,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl10_7
| ~ spl10_9 ),
inference(superposition,[],[f3,f741]) ).
fof(f1015,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f738,f1009]) ).
fof(f738,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f27,f102]) ).
fof(f1152,plain,
( identity != sk_c6
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| spl10_8
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f96,f1128]) ).
fof(f1128,plain,
( identity = sF3
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1125,f1121]) ).
fof(f1121,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(backward_demodulation,[],[f1059,f1091]) ).
fof(f1059,plain,
( identity = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_15 ),
inference(backward_demodulation,[],[f1012,f1044]) ).
fof(f1012,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9 ),
inference(backward_demodulation,[],[f595,f1009]) ).
fof(f595,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f39,f89]) ).
fof(f1125,plain,
( inverse(identity) = sF3
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(backward_demodulation,[],[f32,f1124]) ).
fof(f1124,plain,
( identity = sk_c1
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(backward_demodulation,[],[f803,f1118]) ).
fof(f1118,plain,
( identity = multiply(inverse(sF3),identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15 ),
inference(backward_demodulation,[],[f1052,f1091]) ).
fof(f1052,plain,
( identity = multiply(inverse(sF3),sk_c6)
| ~ spl10_5
| ~ spl10_9
| ~ spl10_15 ),
inference(backward_demodulation,[],[f959,f1044]) ).
fof(f959,plain,
( sk_c7 = multiply(inverse(sF3),sk_c6)
| ~ spl10_5 ),
inference(superposition,[],[f151,f603]) ).
fof(f603,plain,
( sk_c6 = multiply(sF3,sk_c7)
| ~ spl10_5 ),
inference(forward_demodulation,[],[f173,f32]) ).
fof(f173,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl10_5 ),
inference(superposition,[],[f151,f134]) ).
fof(f134,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f41,f80]) ).
fof(f80,plain,
( sk_c7 = sF7
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl10_5
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f41,plain,
multiply(sk_c1,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f803,plain,
sk_c1 = multiply(inverse(sF3),identity),
inference(superposition,[],[f151,f455]) ).
fof(f455,plain,
identity = multiply(sF3,sk_c1),
inference(superposition,[],[f2,f32]) ).
fof(f32,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f96,plain,
( sk_c6 != sF3
| spl10_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl10_8
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f1151,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15
| spl10_21 ),
inference(avatar_contradiction_clause,[],[f1150]) ).
fof(f1150,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15
| spl10_21 ),
inference(subsumption_resolution,[],[f1149,f1091]) ).
fof(f1149,plain,
( identity != sk_c6
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_15
| spl10_21 ),
inference(forward_demodulation,[],[f949,f1121]) ).
fof(f949,plain,
( sk_c6 != inverse(identity)
| spl10_21 ),
inference(avatar_component_clause,[],[f947]) ).
fof(f947,plain,
( spl10_21
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f1145,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(avatar_contradiction_clause,[],[f1144]) ).
fof(f1144,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(subsumption_resolution,[],[f1143,f1121]) ).
fof(f1143,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1139,f1121]) ).
fof(f1139,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(trivial_inequality_removal,[],[f1138]) ).
fof(f1138,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(superposition,[],[f1122,f2]) ).
fof(f1122,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11
| ~ spl10_15 ),
inference(backward_demodulation,[],[f1075,f1091]) ).
fof(f1075,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,sk_c6) )
| ~ spl10_9
| ~ spl10_10
| ~ spl10_15 ),
inference(forward_demodulation,[],[f1048,f1044]) ).
fof(f1048,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| identity != inverse(X6) )
| ~ spl10_9
| ~ spl10_10
| ~ spl10_15 ),
inference(backward_demodulation,[],[f108,f1044]) ).
fof(f108,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) )
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl10_10
<=> ! [X6] :
( sk_c7 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f1040,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f1039]) ).
fof(f1039,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| spl10_20 ),
inference(subsumption_resolution,[],[f1038,f945]) ).
fof(f945,plain,
( sk_c6 != sk_c7
| spl10_20 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f943,plain,
( spl10_20
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f1001,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| spl10_15 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| spl10_15 ),
inference(subsumption_resolution,[],[f999,f743]) ).
fof(f743,plain,
( identity != sk_c7
| ~ spl10_9
| spl10_15 ),
inference(superposition,[],[f314,f102]) ).
fof(f314,plain,
( identity != sF0
| spl10_15 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f999,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(forward_demodulation,[],[f997,f2]) ).
fof(f997,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11 ),
inference(backward_demodulation,[],[f957,f983]) ).
fof(f957,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c7)
| ~ spl10_4
| ~ spl10_11 ),
inference(superposition,[],[f151,f601]) ).
fof(f985,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f984,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_7
| ~ spl10_9
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f983,f979]) ).
fof(f979,plain,
( sk_c7 != sk_c5
| ~ spl10_1
| ~ spl10_4
| ~ spl10_11
| ~ spl10_12 ),
inference(superposition,[],[f967,f360]) ).
fof(f360,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f33,f75]) ).
fof(f967,plain,
( sk_c7 != inverse(sk_c6)
| ~ spl10_1
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f964,f593]) ).
fof(f593,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f44,f62]) ).
fof(f964,plain,
( sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(sk_c6)
| ~ spl10_11
| ~ spl10_12 ),
inference(superposition,[],[f115,f132]) ).
fof(f115,plain,
( ! [X5] :
( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl10_12
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f953,plain,
( ~ spl10_8
| ~ spl10_5
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f952,f117,f78,f95]) ).
fof(f117,plain,
( spl10_13
<=> ! [X3] :
( sk_c6 != inverse(X3)
| sk_c7 != multiply(X3,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f952,plain,
( sk_c6 != sF3
| ~ spl10_5
| ~ spl10_13 ),
inference(superposition,[],[f941,f32]) ).
fof(f941,plain,
( sk_c6 != inverse(sk_c1)
| ~ spl10_5
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f938]) ).
fof(f938,plain,
( sk_c6 != inverse(sk_c1)
| sk_c7 != sk_c7
| ~ spl10_5
| ~ spl10_13 ),
inference(superposition,[],[f118,f134]) ).
fof(f118,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f950,plain,
( ~ spl10_20
| ~ spl10_21
| ~ spl10_13 ),
inference(avatar_split_clause,[],[f934,f117,f947,f943]) ).
fof(f934,plain,
( sk_c6 != inverse(identity)
| sk_c6 != sk_c7
| ~ spl10_13 ),
inference(superposition,[],[f118,f1]) ).
fof(f354,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f348,f262]) ).
fof(f262,plain,
( identity = inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f230,f255]) ).
fof(f255,plain,
( identity = sk_c1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f180,f254]) ).
fof(f254,plain,
( ! [X0] : multiply(sF4,X0) = X0
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f235,f1]) ).
fof(f235,plain,
( ! [X0] : multiply(sF4,multiply(identity,X0)) = X0
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f157,f225]) ).
fof(f225,plain,
( identity = sk_c6
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f220,f136]) ).
fof(f220,plain,
( sk_c6 = multiply(sF4,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f209,f214]) ).
fof(f214,plain,
( sk_c6 = sk_c5
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f187,f213]) ).
fof(f213,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8 ),
inference(forward_demodulation,[],[f212,f130]) ).
fof(f130,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl10_8 ),
inference(backward_demodulation,[],[f32,f97]) ).
fof(f97,plain,
( sk_c6 = sF3
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f212,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6 ),
inference(forward_demodulation,[],[f173,f182]) ).
fof(f182,plain,
( sk_c6 = sk_c7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f181,f131]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c7,sk_c3)
| ~ spl10_2 ),
inference(backward_demodulation,[],[f37,f66]) ).
fof(f66,plain,
( sk_c6 = sF5
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl10_2
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f37,plain,
multiply(sk_c7,sk_c3) = sF5,
introduced(function_definition,[]) ).
fof(f181,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl10_3
| ~ spl10_6 ),
inference(forward_demodulation,[],[f175,f133]) ).
fof(f133,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f30,f71]) ).
fof(f71,plain,
( sk_c7 = sF2
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl10_3
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f30,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f175,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c3)
| ~ spl10_6 ),
inference(superposition,[],[f151,f135]) ).
fof(f135,plain,
( sk_c3 = multiply(sk_c2,sk_c7)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f28,f85]) ).
fof(f85,plain,
( sk_c3 = sF1
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl10_6
<=> sk_c3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f28,plain,
multiply(sk_c2,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f187,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(backward_demodulation,[],[f132,f182]) ).
fof(f209,plain,
( sk_c6 = multiply(sF4,sk_c5)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6
| ~ spl10_11 ),
inference(forward_demodulation,[],[f208,f182]) ).
fof(f157,plain,
! [X0] : multiply(sF4,multiply(sk_c6,X0)) = X0,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c6,X0)),
inference(superposition,[],[f3,f136]) ).
fof(f180,plain,
( sk_c1 = multiply(sF4,identity)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f169,f33]) ).
fof(f169,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl10_8 ),
inference(superposition,[],[f151,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl10_8 ),
inference(superposition,[],[f2,f130]) ).
fof(f230,plain,
( identity = inverse(sk_c1)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f130,f225]) ).
fof(f348,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f344]) ).
fof(f344,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f343,f1]) ).
fof(f343,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f342,f237]) ).
fof(f237,plain,
( identity = sk_c7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f182,f225]) ).
fof(f342,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,identity) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f341,f225]) ).
fof(f341,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c6) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f108,f237]) ).
fof(f340,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f338,f262]) ).
fof(f338,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f337,f262]) ).
fof(f337,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f321,f1]) ).
fof(f321,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(superposition,[],[f318,f2]) ).
fof(f318,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f317,f225]) ).
fof(f317,plain,
( ! [X5] :
( sk_c6 != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f316,f237]) ).
fof(f316,plain,
( ! [X5] :
( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| identity != inverse(X5) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11
| ~ spl10_12 ),
inference(forward_demodulation,[],[f115,f237]) ).
fof(f274,plain,
( ~ spl10_2
| ~ spl10_3
| spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f272,f225]) ).
fof(f272,plain,
( identity != sk_c6
| ~ spl10_2
| ~ spl10_3
| spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f215,f268]) ).
fof(f268,plain,
( identity = sF4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f227,f262]) ).
fof(f227,plain,
( inverse(identity) = sF4
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f33,f225]) ).
fof(f215,plain,
( sk_c6 != sF4
| ~ spl10_2
| ~ spl10_3
| spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f74,f214]) ).
fof(f74,plain,
( sk_c5 != sF4
| spl10_4 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f223,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f222,f110,f95,f83,f78,f69,f64,f60]) ).
fof(f222,plain,
( sk_c6 = sF8
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(forward_demodulation,[],[f217,f213]) ).
fof(f217,plain,
( multiply(sk_c6,sk_c6) = sF8
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_11 ),
inference(backward_demodulation,[],[f183,f214]) ).
fof(f183,plain,
( multiply(sk_c6,sk_c5) = sF8
| ~ spl10_2
| ~ spl10_3
| ~ spl10_6 ),
inference(backward_demodulation,[],[f44,f182]) ).
fof(f129,plain,
( spl10_9
| spl10_8 ),
inference(avatar_split_clause,[],[f48,f95,f100]) ).
fof(f48,plain,
( sk_c6 = sF3
| sk_c7 = sF0 ),
inference(definition_folding,[],[f12,f27,f32]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f128,plain,
( spl10_8
| spl10_7 ),
inference(avatar_split_clause,[],[f43,f87,f95]) ).
fof(f43,plain,
( sk_c7 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f11,f39,f32]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f127,plain,
( spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f46,f100,f78]) ).
fof(f46,plain,
( sk_c7 = sF0
| sk_c7 = sF7 ),
inference(definition_folding,[],[f8,f41,f27]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f126,plain,
( spl10_2
| spl10_7 ),
inference(avatar_split_clause,[],[f50,f87,f64]) ).
fof(f50,plain,
( sk_c7 = sF6
| sk_c6 = sF5 ),
inference(definition_folding,[],[f15,f39,f37]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c7,sk_c3)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f125,plain,
( spl10_3
| spl10_1 ),
inference(avatar_split_clause,[],[f55,f60,f69]) ).
fof(f55,plain,
( sk_c6 = sF8
| sk_c7 = sF2 ),
inference(definition_folding,[],[f22,f30,f44]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f124,plain,
spl10_11,
inference(avatar_split_clause,[],[f54,f110]) ).
fof(f54,plain,
sk_c5 = sF9,
inference(definition_folding,[],[f4,f53]) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f123,plain,
( spl10_8
| spl10_4 ),
inference(avatar_split_clause,[],[f34,f73,f95]) ).
fof(f34,plain,
( sk_c5 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f9,f33,f32]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f122,plain,
( spl10_5
| spl10_7 ),
inference(avatar_split_clause,[],[f49,f87,f78]) ).
fof(f49,plain,
( sk_c7 = sF6
| sk_c7 = sF7 ),
inference(definition_folding,[],[f7,f39,f41]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f121,plain,
( spl10_6
| spl10_9 ),
inference(avatar_split_clause,[],[f29,f100,f83]) ).
fof(f29,plain,
( sk_c7 = sF0
| sk_c3 = sF1 ),
inference(definition_folding,[],[f20,f28,f27]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f120,plain,
( spl10_3
| spl10_9 ),
inference(avatar_split_clause,[],[f31,f100,f69]) ).
fof(f31,plain,
( sk_c7 = sF0
| sk_c7 = sF2 ),
inference(definition_folding,[],[f24,f27,f30]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f119,plain,
( ~ spl10_4
| spl10_10
| ~ spl10_11
| ~ spl10_1
| spl10_12
| spl10_13 ),
inference(avatar_split_clause,[],[f58,f117,f114,f60,f110,f107,f73]) ).
fof(f58,plain,
! [X3,X6,X5] :
( sk_c6 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c6 != sF8
| sk_c5 != sF9
| sk_c7 != multiply(X6,sk_c6)
| sk_c5 != sF4
| sk_c7 != inverse(X6) ),
inference(definition_folding,[],[f26,f53,f44,f33]) ).
fof(f26,plain,
! [X3,X6,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X6,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X3,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X5)
| sk_c7 != inverse(X6)
| sk_c5 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,X4)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X6,sk_c6)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != multiply(X3,sk_c6)
| multiply(X5,sk_c7) != X4
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f105,plain,
( spl10_2
| spl10_4 ),
inference(avatar_split_clause,[],[f38,f73,f64]) ).
fof(f38,plain,
( sk_c5 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f13,f37,f33]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f104,plain,
( spl10_7
| spl10_3 ),
inference(avatar_split_clause,[],[f40,f69,f87]) ).
fof(f40,plain,
( sk_c7 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f23,f39,f30]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f103,plain,
( spl10_2
| spl10_9 ),
inference(avatar_split_clause,[],[f56,f100,f64]) ).
fof(f56,plain,
( sk_c7 = sF0
| sk_c6 = sF5 ),
inference(definition_folding,[],[f16,f37,f27]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f98,plain,
( spl10_8
| spl10_1 ),
inference(avatar_split_clause,[],[f57,f60,f95]) ).
fof(f57,plain,
( sk_c6 = sF8
| sk_c6 = sF3 ),
inference(definition_folding,[],[f10,f32,f44]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f93,plain,
( spl10_6
| spl10_4 ),
inference(avatar_split_clause,[],[f36,f73,f83]) ).
fof(f36,plain,
( sk_c5 = sF4
| sk_c3 = sF1 ),
inference(definition_folding,[],[f17,f33,f28]) ).
fof(f17,axiom,
( sk_c3 = multiply(sk_c2,sk_c7)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f92,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f51,f78,f60]) ).
fof(f51,plain,
( sk_c7 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f6,f44,f41]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f91,plain,
( spl10_6
| spl10_1 ),
inference(avatar_split_clause,[],[f45,f60,f83]) ).
fof(f45,plain,
( sk_c6 = sF8
| sk_c3 = sF1 ),
inference(definition_folding,[],[f18,f28,f44]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f90,plain,
( spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f52,f87,f83]) ).
fof(f52,plain,
( sk_c7 = sF6
| sk_c3 = sF1 ),
inference(definition_folding,[],[f19,f28,f39]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f81,plain,
( spl10_5
| spl10_4 ),
inference(avatar_split_clause,[],[f42,f73,f78]) ).
fof(f42,plain,
( sk_c5 = sF4
| sk_c7 = sF7 ),
inference(definition_folding,[],[f5,f41,f33]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f76,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f35,f73,f69]) ).
fof(f35,plain,
( sk_c5 = sF4
| sk_c7 = sF2 ),
inference(definition_folding,[],[f21,f33,f30]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f67,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f47,f64,f60]) ).
fof(f47,plain,
( sk_c6 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f14,f37,f44]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP326-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:20:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (23443)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.51 % (23446)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.51 % (23459)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)
% 0.21/0.51 % (23448)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.51 % (23453)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)
% 0.21/0.52 % (23455)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.52 % (23459)Instruction limit reached!
% 0.21/0.52 % (23459)------------------------------
% 0.21/0.52 % (23459)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23455)Instruction limit reached!
% 0.21/0.53 % (23455)------------------------------
% 0.21/0.53 % (23455)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23455)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23455)Termination reason: Unknown
% 0.21/0.53 % (23455)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (23455)Memory used [KB]: 5884
% 0.21/0.53 % (23455)Time elapsed: 0.119 s
% 0.21/0.53 % (23455)Instructions burned: 5 (million)
% 0.21/0.53 % (23455)------------------------------
% 0.21/0.53 % (23455)------------------------------
% 0.21/0.53 % (23459)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23459)Termination reason: Unknown
% 0.21/0.53 % (23459)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (23459)Memory used [KB]: 5884
% 0.21/0.53 % (23459)Time elapsed: 0.114 s
% 0.21/0.53 % (23459)Instructions burned: 3 (million)
% 0.21/0.53 % (23459)------------------------------
% 0.21/0.53 % (23459)------------------------------
% 0.21/0.53 % (23449)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)
% 0.21/0.53 % (23453)Instruction limit reached!
% 0.21/0.53 % (23453)------------------------------
% 0.21/0.53 % (23453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23453)Termination reason: Unknown
% 0.21/0.53 % (23453)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (23453)Memory used [KB]: 6012
% 0.21/0.53 % (23453)Time elapsed: 0.117 s
% 0.21/0.53 % (23453)Instructions burned: 7 (million)
% 0.21/0.53 % (23453)------------------------------
% 0.21/0.53 % (23453)------------------------------
% 0.21/0.53 % (23462)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)
% 0.21/0.53 % (23464)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.53 % (23467)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.53 % (23462)Instruction limit reached!
% 0.21/0.53 % (23462)------------------------------
% 0.21/0.53 % (23462)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23462)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23462)Termination reason: Unknown
% 0.21/0.53 % (23462)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (23462)Memory used [KB]: 6012
% 0.21/0.53 % (23462)Time elapsed: 0.130 s
% 0.21/0.53 % (23462)Instructions burned: 7 (million)
% 0.21/0.53 % (23462)------------------------------
% 0.21/0.53 % (23462)------------------------------
% 0.21/0.53 % (23467)Refutation not found, incomplete strategy% (23467)------------------------------
% 0.21/0.53 % (23467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (23467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (23467)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (23467)Memory used [KB]: 5884
% 0.21/0.53 % (23467)Time elapsed: 0.086 s
% 0.21/0.53 % (23467)Instructions burned: 2 (million)
% 0.21/0.53 % (23467)------------------------------
% 0.21/0.53 % (23467)------------------------------
% 0.21/0.53 % (23468)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)
% 0.21/0.54 % (23463)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (23458)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (23460)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.54 % (23447)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.54 % (23471)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.21/0.54 % (23457)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)
% 0.21/0.54 % (23444)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.54 % (23445)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.54 % (23465)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.54 % (23445)Instruction limit reached!
% 0.21/0.54 % (23445)------------------------------
% 0.21/0.54 % (23445)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (23445)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (23445)Termination reason: Unknown
% 0.21/0.54 % (23445)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (23445)Memory used [KB]: 5884
% 0.21/0.54 % (23445)Time elapsed: 0.134 s
% 0.21/0.54 % (23445)Instructions burned: 5 (million)
% 0.21/0.54 % (23445)------------------------------
% 0.21/0.54 % (23445)------------------------------
% 0.21/0.54 % (23472)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.54 % (23452)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (23461)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.21/0.55 % (23473)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (23451)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)
% 0.21/0.55 % (23469)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.55 % (23451)Instruction limit reached!
% 0.21/0.55 % (23451)------------------------------
% 0.21/0.55 % (23451)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (23451)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (23451)Termination reason: Unknown
% 0.21/0.55 % (23451)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (23451)Memory used [KB]: 5884
% 0.21/0.55 % (23451)Time elapsed: 0.003 s
% 0.21/0.55 % (23451)Instructions burned: 3 (million)
% 0.21/0.55 % (23451)------------------------------
% 0.21/0.55 % (23451)------------------------------
% 0.21/0.55 % (23454)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.55 % (23458)Instruction limit reached!
% 0.21/0.55 % (23458)------------------------------
% 0.21/0.55 % (23458)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (23443)First to succeed.
% 0.21/0.55 % (23450)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (23456)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (23470)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.56 % (23456)Instruction limit reached!
% 0.21/0.56 % (23456)------------------------------
% 0.21/0.56 % (23456)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (23456)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (23456)Termination reason: Unknown
% 0.21/0.56 % (23456)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (23456)Memory used [KB]: 5884
% 0.21/0.56 % (23456)Time elapsed: 0.003 s
% 0.21/0.56 % (23456)Instructions burned: 4 (million)
% 0.21/0.56 % (23456)------------------------------
% 0.21/0.56 % (23456)------------------------------
% 0.21/0.56 % (23463)Instruction limit reached!
% 0.21/0.56 % (23463)------------------------------
% 0.21/0.56 % (23463)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (23463)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (23463)Termination reason: Unknown
% 0.21/0.56 % (23463)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (23463)Memory used [KB]: 1407
% 0.21/0.56 % (23463)Time elapsed: 0.149 s
% 0.21/0.56 % (23463)Instructions burned: 7 (million)
% 0.21/0.56 % (23463)------------------------------
% 0.21/0.56 % (23463)------------------------------
% 0.21/0.56 % (23458)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (23458)Termination reason: Unknown
% 0.21/0.56 % (23458)Termination phase: Finite model building preprocessing
% 0.21/0.56
% 0.21/0.56 % (23458)Memory used [KB]: 5884
% 0.21/0.56 % (23458)Time elapsed: 0.005 s
% 0.21/0.56 % (23458)Instructions burned: 6 (million)
% 0.21/0.56 % (23458)------------------------------
% 0.21/0.56 % (23458)------------------------------
% 0.21/0.56 % (23448)Also succeeded, but the first one will report.
% 0.21/0.57 % (23443)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (23443)------------------------------
% 0.21/0.57 % (23443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (23443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (23443)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (23443)Memory used [KB]: 6396
% 0.21/0.57 % (23443)Time elapsed: 0.129 s
% 0.21/0.57 % (23443)Instructions burned: 37 (million)
% 0.21/0.57 % (23443)------------------------------
% 0.21/0.57 % (23443)------------------------------
% 0.21/0.57 % (23441)Success in time 0.207 s
%------------------------------------------------------------------------------