TSTP Solution File: GRP213-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP213-1 : 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:14:53 EDT 2022
% Result : Unsatisfiable 1.97s 0.61s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 56
% Syntax : Number of formulae : 300 ( 30 unt; 0 def)
% Number of atoms : 1098 ( 361 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1566 ( 768 ~; 780 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1114,plain,
$false,
inference(avatar_sat_refutation,[],[f74,f83,f88,f97,f98,f103,f108,f109,f110,f111,f116,f117,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f140,f141,f142,f253,f297,f356,f448,f483,f595,f712,f913,f1020,f1046,f1048,f1092,f1102,f1113]) ).
fof(f1113,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1112,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f1111,f1039]) ).
fof(f1039,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f1003,f1024]) ).
fof(f1024,plain,
( identity = sk_c8
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1023,f1013]) ).
fof(f1013,plain,
( ! [X9] : multiply(sk_c8,X9) = X9
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1010,f998]) ).
fof(f998,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(backward_demodulation,[],[f956,f990]) ).
fof(f990,plain,
( sk_c8 = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6 ),
inference(forward_demodulation,[],[f82,f967]) ).
fof(f967,plain,
( sk_c8 = sF9
| ~ spl10_1
| ~ spl10_6 ),
inference(forward_demodulation,[],[f51,f958]) ).
fof(f958,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl10_1
| ~ spl10_6 ),
inference(backward_demodulation,[],[f887,f69]) ).
fof(f69,plain,
( sk_c6 = sF1
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl10_1
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f887,plain,
( sk_c8 = multiply(sk_c8,sF1)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f197,f92]) ).
fof(f92,plain,
( sk_c8 = sF2
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl10_6
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f197,plain,
sk_c8 = multiply(sF2,sF1),
inference(forward_demodulation,[],[f185,f34]) ).
fof(f34,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f185,plain,
sk_c8 = multiply(inverse(sk_c5),sF1),
inference(superposition,[],[f160,f32]) ).
fof(f32,plain,
multiply(sk_c5,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f160,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f154,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f154,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/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f51,plain,
multiply(sk_c8,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f82,plain,
( sk_c7 = sF9
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl10_4
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f956,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl10_10 ),
inference(forward_demodulation,[],[f167,f115]) ).
fof(f115,plain,
( sk_c7 = sF5
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl10_10
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f167,plain,
! [X0] : multiply(sF5,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f166,f1]) ).
fof(f166,plain,
! [X0] : multiply(identity,X0) = multiply(sF5,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f148]) ).
fof(f148,plain,
identity = multiply(sF5,sk_c8),
inference(superposition,[],[f2,f39]) ).
fof(f39,plain,
inverse(sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f1010,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c8,multiply(sk_c8,X9))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f968,f1008]) ).
fof(f1008,plain,
( sk_c8 = sk_c6
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9 ),
inference(backward_demodulation,[],[f984,f999]) ).
fof(f999,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8 ),
inference(backward_demodulation,[],[f957,f990]) ).
fof(f957,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f47,f102]) ).
fof(f102,plain,
( sk_c8 = sF8
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl10_8
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f47,plain,
multiply(sk_c4,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f984,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl10_1
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f970,f979]) ).
fof(f979,plain,
( sk_c4 = sk_c5
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f888,f972]) ).
fof(f972,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f189,f107]) ).
fof(f107,plain,
( sk_c8 = sF4
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl10_9
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f189,plain,
sk_c4 = multiply(inverse(sF4),identity),
inference(superposition,[],[f160,f149]) ).
fof(f149,plain,
identity = multiply(sF4,sk_c4),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f888,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f188,f92]) ).
fof(f188,plain,
sk_c5 = multiply(inverse(sF2),identity),
inference(superposition,[],[f160,f150]) ).
fof(f150,plain,
identity = multiply(sF2,sk_c5),
inference(superposition,[],[f2,f34]) ).
fof(f970,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f32,f69]) ).
fof(f968,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c8,multiply(sk_c6,X9))
| ~ spl10_1
| ~ spl10_6 ),
inference(backward_demodulation,[],[f156,f967]) ).
fof(f156,plain,
! [X9] : multiply(sF9,X9) = multiply(sk_c8,multiply(sk_c6,X9)),
inference(superposition,[],[f3,f51]) ).
fof(f1023,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(forward_demodulation,[],[f997,f1003]) ).
fof(f997,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(backward_demodulation,[],[f884,f990]) ).
fof(f884,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl10_10 ),
inference(forward_demodulation,[],[f190,f115]) ).
fof(f190,plain,
sk_c8 = multiply(inverse(sF5),identity),
inference(superposition,[],[f160,f148]) ).
fof(f1003,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_10 ),
inference(backward_demodulation,[],[f985,f990]) ).
fof(f985,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl10_10 ),
inference(forward_demodulation,[],[f39,f115]) ).
fof(f1111,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1110,f1039]) ).
fof(f1110,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f1108,f1]) ).
fof(f1108,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(superposition,[],[f1105,f2]) ).
fof(f1105,plain,
( ! [X8] :
( identity != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1104,f1035]) ).
fof(f1035,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f990,f1024]) ).
fof(f1104,plain,
( ! [X8] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f1103,f1024]) ).
fof(f1103,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(identity,multiply(X8,identity)) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(forward_demodulation,[],[f133,f1024]) ).
fof(f133,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl10_12
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f1102,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f1094,f1]) ).
fof(f1094,plain,
( identity != multiply(identity,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11 ),
inference(superposition,[],[f1093,f1039]) ).
fof(f1093,plain,
( ! [X4] : identity != multiply(X4,inverse(X4))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_11 ),
inference(forward_demodulation,[],[f130,f1024]) ).
fof(f130,plain,
( ! [X4] : sk_c8 != multiply(X4,inverse(X4))
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl10_11
<=> ! [X4] : sk_c8 != multiply(X4,inverse(X4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f1092,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f1091]) ).
fof(f1091,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f1090,f1039]) ).
fof(f1090,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(forward_demodulation,[],[f1086,f1039]) ).
fof(f1086,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(trivial_inequality_removal,[],[f1085]) ).
fof(f1085,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(superposition,[],[f1074,f2]) ).
fof(f1074,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(forward_demodulation,[],[f1073,f1024]) ).
fof(f1073,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(forward_demodulation,[],[f1072,f1024]) ).
fof(f1072,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_14 ),
inference(forward_demodulation,[],[f139,f1035]) ).
fof(f139,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl10_14
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f1048,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| spl10_16 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1047,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| spl10_16 ),
inference(subsumption_resolution,[],[f1026,f342]) ).
fof(f342,plain,
( identity != sF2
| spl10_16 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f340,plain,
( spl10_16
<=> identity = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f1026,plain,
( identity = sF2
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f92,f1024]) ).
fof(f1046,plain,
( spl10_17
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f1029,f113,f105,f100,f90,f80,f67,f346]) ).
fof(f346,plain,
( spl10_17
<=> identity = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f1029,plain,
( identity = sF4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f107,f1024]) ).
fof(f1020,plain,
( ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| spl10_23 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1019,plain,
( $false
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| spl10_23 ),
inference(subsumption_resolution,[],[f1018,f414]) ).
fof(f414,plain,
( identity != sk_c4
| spl10_23 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f412,plain,
( spl10_23
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_23])]) ).
fof(f1018,plain,
( identity = sk_c4
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10 ),
inference(forward_demodulation,[],[f1005,f1013]) ).
fof(f1005,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl10_1
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f987,f990]) ).
fof(f987,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl10_9
| ~ spl10_10 ),
inference(backward_demodulation,[],[f972,f985]) ).
fof(f913,plain,
( spl10_25
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_23 ),
inference(avatar_split_clause,[],[f910,f412,f113,f105,f100,f90,f421]) ).
fof(f421,plain,
( spl10_25
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_25])]) ).
fof(f910,plain,
( identity = sk_c5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_23 ),
inference(backward_demodulation,[],[f894,f897]) ).
fof(f897,plain,
( identity = sk_c8
| ~ spl10_8
| ~ spl10_9
| ~ spl10_10
| ~ spl10_23 ),
inference(backward_demodulation,[],[f892,f794]) ).
fof(f794,plain,
( ! [X0] : multiply(inverse(sk_c8),X0) = X0
| ~ spl10_9
| ~ spl10_23 ),
inference(backward_demodulation,[],[f713,f107]) ).
fof(f713,plain,
( ! [X0] : multiply(inverse(sF4),X0) = X0
| ~ spl10_23 ),
inference(forward_demodulation,[],[f599,f1]) ).
fof(f599,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(sF4),X0)
| ~ spl10_23 ),
inference(forward_demodulation,[],[f377,f413]) ).
fof(f413,plain,
( identity = sk_c4
| ~ spl10_23 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f377,plain,
! [X0] : multiply(inverse(sF4),X0) = multiply(sk_c4,X0),
inference(forward_demodulation,[],[f376,f1]) ).
fof(f376,plain,
! [X0] : multiply(sk_c4,X0) = multiply(inverse(sF4),multiply(identity,X0)),
inference(superposition,[],[f3,f189]) ).
fof(f892,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl10_8
| ~ spl10_10
| ~ spl10_23 ),
inference(backward_demodulation,[],[f884,f790]) ).
fof(f790,plain,
( sk_c8 = sk_c7
| ~ spl10_8
| ~ spl10_23 ),
inference(backward_demodulation,[],[f607,f102]) ).
fof(f607,plain,
( sk_c7 = sF8
| ~ spl10_23 ),
inference(forward_demodulation,[],[f606,f1]) ).
fof(f606,plain,
( multiply(identity,sk_c7) = sF8
| ~ spl10_23 ),
inference(forward_demodulation,[],[f47,f413]) ).
fof(f894,plain,
( sk_c8 = sk_c5
| ~ spl10_6
| ~ spl10_8
| ~ spl10_10
| ~ spl10_23 ),
inference(backward_demodulation,[],[f888,f892]) ).
fof(f712,plain,
( ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_16
| ~ spl10_17
| ~ spl10_23
| ~ spl10_25 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_16
| ~ spl10_17
| ~ spl10_23
| ~ spl10_25 ),
inference(subsumption_resolution,[],[f710,f597]) ).
fof(f597,plain,
( identity = inverse(identity)
| ~ spl10_16
| ~ spl10_25 ),
inference(forward_demodulation,[],[f596,f422]) ).
fof(f422,plain,
( identity = sk_c5
| ~ spl10_25 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f596,plain,
( identity = inverse(sk_c5)
| ~ spl10_16 ),
inference(forward_demodulation,[],[f34,f341]) ).
fof(f341,plain,
( identity = sF2
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f710,plain,
( identity != inverse(identity)
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_16
| ~ spl10_17
| ~ spl10_23
| ~ spl10_25 ),
inference(forward_demodulation,[],[f706,f597]) ).
fof(f706,plain,
( identity != inverse(inverse(identity))
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17
| ~ spl10_23 ),
inference(trivial_inequality_removal,[],[f705]) ).
fof(f705,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17
| ~ spl10_23 ),
inference(superposition,[],[f627,f2]) ).
fof(f627,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17
| ~ spl10_23 ),
inference(forward_demodulation,[],[f626,f610]) ).
fof(f610,plain,
( identity = sk_c8
| ~ spl10_9
| ~ spl10_17 ),
inference(forward_demodulation,[],[f107,f347]) ).
fof(f347,plain,
( identity = sF4
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f626,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl10_8
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17
| ~ spl10_23 ),
inference(forward_demodulation,[],[f625,f617]) ).
fof(f617,plain,
( identity = sk_c7
| ~ spl10_8
| ~ spl10_9
| ~ spl10_17
| ~ spl10_23 ),
inference(backward_demodulation,[],[f607,f616]) ).
fof(f616,plain,
( identity = sF8
| ~ spl10_8
| ~ spl10_9
| ~ spl10_17 ),
inference(forward_demodulation,[],[f102,f610]) ).
fof(f625,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl10_9
| ~ spl10_13
| ~ spl10_17 ),
inference(forward_demodulation,[],[f136,f610]) ).
fof(f136,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl10_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f595,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f594]) ).
fof(f594,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f593,f527]) ).
fof(f527,plain,
( identity = inverse(identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f508,f512]) ).
fof(f512,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f498,f509]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl10_3
| ~ spl10_5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f237,f115]) ).
fof(f237,plain,
( ! [X0] : multiply(sF5,X0) = X0
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f177,f210]) ).
fof(f210,plain,
( sF5 = inverse(identity)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f39,f208]) ).
fof(f208,plain,
( identity = sk_c8
| ~ spl10_3
| ~ spl10_5 ),
inference(forward_demodulation,[],[f206,f2]) ).
fof(f206,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl10_3
| ~ spl10_5 ),
inference(superposition,[],[f160,f193]) ).
fof(f193,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl10_3
| ~ spl10_5 ),
inference(forward_demodulation,[],[f186,f143]) ).
fof(f143,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f40,f78]) ).
fof(f78,plain,
( sk_c3 = sF6
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl10_3
<=> sk_c3 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f40,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f186,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| ~ spl10_5 ),
inference(superposition,[],[f160,f144]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f44,f87]) ).
fof(f87,plain,
( sk_c8 = sF7
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl10_5
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f44,plain,
multiply(sk_c2,sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f177,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f160,f1]) ).
fof(f498,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(backward_demodulation,[],[f310,f493]) ).
fof(f493,plain,
( sk_c7 = sk_c5
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(backward_demodulation,[],[f309,f492]) ).
fof(f492,plain,
( sk_c7 = sF1
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(forward_demodulation,[],[f69,f485]) ).
fof(f485,plain,
( sk_c7 = sk_c6
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5 ),
inference(backward_demodulation,[],[f254,f82]) ).
fof(f254,plain,
( sk_c6 = sF9
| ~ spl10_3
| ~ spl10_5 ),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
( sF9 = multiply(identity,sk_c6)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f51,f208]) ).
fof(f309,plain,
( sk_c5 = sF1
| ~ spl10_3
| ~ spl10_5 ),
inference(forward_demodulation,[],[f305,f188]) ).
fof(f305,plain,
( sF1 = multiply(inverse(sF2),identity)
| ~ spl10_3
| ~ spl10_5 ),
inference(superposition,[],[f160,f228]) ).
fof(f228,plain,
( identity = multiply(sF2,sF1)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f197,f208]) ).
fof(f310,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f209,f309]) ).
fof(f209,plain,
( multiply(sk_c5,identity) = sF1
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f32,f208]) ).
fof(f508,plain,
( sk_c7 = inverse(identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_10 ),
inference(backward_demodulation,[],[f210,f115]) ).
fof(f593,plain,
( identity != inverse(identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f585,f527]) ).
fof(f585,plain,
( identity != inverse(inverse(identity))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f580]) ).
fof(f580,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(superposition,[],[f538,f2]) ).
fof(f538,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f537,f208]) ).
fof(f537,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_10
| ~ spl10_13 ),
inference(forward_demodulation,[],[f536,f512]) ).
fof(f536,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_13 ),
inference(forward_demodulation,[],[f136,f208]) ).
fof(f483,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(avatar_contradiction_clause,[],[f482]) ).
fof(f482,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f481,f241]) ).
fof(f241,plain,
( identity = inverse(identity)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f216,f231]) ).
fof(f231,plain,
( identity = sk_c1
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(backward_demodulation,[],[f195,f218]) ).
fof(f218,plain,
( identity = multiply(sF5,identity)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f148,f208]) ).
fof(f195,plain,
( sk_c1 = multiply(sF5,identity)
| ~ spl10_7 ),
inference(forward_demodulation,[],[f183,f39]) ).
fof(f183,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl10_7 ),
inference(superposition,[],[f160,f147]) ).
fof(f147,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl10_7 ),
inference(superposition,[],[f2,f146]) ).
fof(f146,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f36,f96]) ).
fof(f96,plain,
( sk_c8 = sF3
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl10_7
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f36,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f216,plain,
( identity = inverse(sk_c1)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(backward_demodulation,[],[f146,f208]) ).
fof(f481,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(forward_demodulation,[],[f471,f241]) ).
fof(f471,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(trivial_inequality_removal,[],[f463]) ).
fof(f463,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(superposition,[],[f456,f2]) ).
fof(f456,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(forward_demodulation,[],[f455,f208]) ).
fof(f455,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(forward_demodulation,[],[f454,f208]) ).
fof(f454,plain,
( ! [X6] :
( sk_c8 != multiply(X6,identity)
| sk_c8 != inverse(X6) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14 ),
inference(forward_demodulation,[],[f139,f251]) ).
fof(f251,plain,
( identity = sk_c7
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f215,f231]) ).
fof(f215,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f145,f208]) ).
fof(f145,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl10_2 ),
inference(backward_demodulation,[],[f31,f73]) ).
fof(f73,plain,
( sk_c7 = sF0
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl10_2
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f31,plain,
multiply(sk_c1,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f448,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(subsumption_resolution,[],[f446,f241]) ).
fof(f446,plain,
( identity != inverse(identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(forward_demodulation,[],[f400,f241]) ).
fof(f400,plain,
( identity != inverse(inverse(identity))
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(trivial_inequality_removal,[],[f392]) ).
fof(f392,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(superposition,[],[f368,f2]) ).
fof(f368,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13 ),
inference(forward_demodulation,[],[f367,f251]) ).
fof(f367,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_13 ),
inference(forward_demodulation,[],[f366,f208]) ).
fof(f366,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_13 ),
inference(forward_demodulation,[],[f136,f208]) ).
fof(f356,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f354,f1]) ).
fof(f354,plain,
( identity != multiply(identity,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f323,f241]) ).
fof(f323,plain,
( identity != inverse(identity)
| identity != multiply(identity,identity)
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(superposition,[],[f304,f1]) ).
fof(f304,plain,
( ! [X8] :
( identity != multiply(identity,multiply(X8,identity))
| identity != inverse(X8) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(forward_demodulation,[],[f303,f208]) ).
fof(f303,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| identity != multiply(identity,multiply(X8,identity)) )
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(forward_demodulation,[],[f302,f251]) ).
fof(f302,plain,
( ! [X8] :
( sk_c7 != multiply(identity,multiply(X8,identity))
| sk_c8 != inverse(X8) )
| ~ spl10_3
| ~ spl10_5
| ~ spl10_12 ),
inference(forward_demodulation,[],[f133,f208]) ).
fof(f297,plain,
( ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f296]) ).
fof(f296,plain,
( $false
| ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f293,f214]) ).
fof(f214,plain,
( identity = multiply(sk_c2,sk_c3)
| ~ spl10_3
| ~ spl10_5 ),
inference(backward_demodulation,[],[f144,f208]) ).
fof(f293,plain,
( identity != multiply(sk_c2,sk_c3)
| ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(superposition,[],[f272,f143]) ).
fof(f272,plain,
( ! [X4] : identity != multiply(X4,inverse(X4))
| ~ spl10_3
| ~ spl10_5
| ~ spl10_11 ),
inference(forward_demodulation,[],[f130,f208]) ).
fof(f253,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| spl10_10 ),
inference(avatar_contradiction_clause,[],[f252]) ).
fof(f252,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| spl10_10 ),
inference(subsumption_resolution,[],[f251,f243]) ).
fof(f243,plain,
( identity != sk_c7
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7
| spl10_10 ),
inference(backward_demodulation,[],[f114,f242]) ).
fof(f242,plain,
( identity = sF5
| ~ spl10_3
| ~ spl10_5
| ~ spl10_7 ),
inference(backward_demodulation,[],[f210,f241]) ).
fof(f114,plain,
( sk_c7 != sF5
| spl10_10 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f142,plain,
( spl10_8
| spl10_3 ),
inference(avatar_split_clause,[],[f48,f76,f100]) ).
fof(f48,plain,
( sk_c3 = sF6
| sk_c8 = sF8 ),
inference(definition_folding,[],[f24,f47,f40]) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f141,plain,
( spl10_9
| spl10_3 ),
inference(avatar_split_clause,[],[f42,f76,f105]) ).
fof(f42,plain,
( sk_c3 = sF6
| sk_c8 = sF4 ),
inference(definition_folding,[],[f23,f40,f37]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f140,plain,
( ~ spl10_10
| spl10_11
| spl10_12
| spl10_13
| spl10_14 ),
inference(avatar_split_clause,[],[f60,f138,f135,f132,f129,f113]) ).
fof(f60,plain,
! [X3,X8,X6,X4] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != sF5
| sk_c8 != inverse(X3) ),
inference(definition_folding,[],[f30,f39]) ).
fof(f30,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ),
inference(equality_resolution,[],[f29]) ).
fof(f29,plain,
! [X3,X8,X6,X7,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(sk_c8,X7) ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| inverse(X4) != X5
| sk_c8 != inverse(X3)
| sk_c7 != inverse(sk_c8)
| sk_c8 != multiply(X6,sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != multiply(X4,X5)
| sk_c7 != multiply(sk_c8,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f127,plain,
( spl10_8
| spl10_7 ),
inference(avatar_split_clause,[],[f55,f94,f100]) ).
fof(f55,plain,
( sk_c8 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f12,f36,f47]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f126,plain,
( spl10_10
| spl10_7 ),
inference(avatar_split_clause,[],[f65,f94,f113]) ).
fof(f65,plain,
( sk_c8 = sF3
| sk_c7 = sF5 ),
inference(definition_folding,[],[f10,f36,f39]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f125,plain,
( spl10_1
| spl10_3 ),
inference(avatar_split_clause,[],[f43,f76,f67]) ).
fof(f43,plain,
( sk_c3 = sF6
| sk_c6 = sF1 ),
inference(definition_folding,[],[f26,f40,f32]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f124,plain,
( spl10_6
| spl10_3 ),
inference(avatar_split_clause,[],[f50,f76,f90]) ).
fof(f50,plain,
( sk_c3 = sF6
| sk_c8 = sF2 ),
inference(definition_folding,[],[f27,f40,f34]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f123,plain,
( spl10_4
| spl10_2 ),
inference(avatar_split_clause,[],[f59,f71,f80]) ).
fof(f59,plain,
( sk_c7 = sF0
| sk_c7 = sF9 ),
inference(definition_folding,[],[f7,f31,f51]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f122,plain,
( spl10_5
| spl10_8 ),
inference(avatar_split_clause,[],[f64,f100,f85]) ).
fof(f64,plain,
( sk_c8 = sF8
| sk_c8 = sF7 ),
inference(definition_folding,[],[f18,f44,f47]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f121,plain,
( spl10_5
| spl10_6 ),
inference(avatar_split_clause,[],[f62,f90,f85]) ).
fof(f62,plain,
( sk_c8 = sF2
| sk_c8 = sF7 ),
inference(definition_folding,[],[f21,f34,f44]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f120,plain,
( spl10_2
| spl10_9 ),
inference(avatar_split_clause,[],[f58,f105,f71]) ).
fof(f58,plain,
( sk_c8 = sF4
| sk_c7 = sF0 ),
inference(definition_folding,[],[f5,f31,f37]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f119,plain,
( spl10_1
| spl10_5 ),
inference(avatar_split_clause,[],[f45,f85,f67]) ).
fof(f45,plain,
( sk_c8 = sF7
| sk_c6 = sF1 ),
inference(definition_folding,[],[f20,f32,f44]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f118,plain,
( spl10_5
| spl10_10 ),
inference(avatar_split_clause,[],[f57,f113,f85]) ).
fof(f57,plain,
( sk_c7 = sF5
| sk_c8 = sF7 ),
inference(definition_folding,[],[f16,f44,f39]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f117,plain,
( spl10_2
| spl10_10 ),
inference(avatar_split_clause,[],[f49,f113,f71]) ).
fof(f49,plain,
( sk_c7 = sF5
| sk_c7 = sF0 ),
inference(definition_folding,[],[f4,f31,f39]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c8)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f116,plain,
( spl10_10
| spl10_3 ),
inference(avatar_split_clause,[],[f41,f76,f113]) ).
fof(f41,plain,
( sk_c3 = sF6
| sk_c7 = sF5 ),
inference(definition_folding,[],[f22,f40,f39]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f111,plain,
( spl10_1
| spl10_7 ),
inference(avatar_split_clause,[],[f53,f94,f67]) ).
fof(f53,plain,
( sk_c8 = sF3
| sk_c6 = sF1 ),
inference(definition_folding,[],[f14,f36,f32]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f110,plain,
( spl10_7
| spl10_9 ),
inference(avatar_split_clause,[],[f38,f105,f94]) ).
fof(f38,plain,
( sk_c8 = sF4
| sk_c8 = sF3 ),
inference(definition_folding,[],[f11,f37,f36]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f109,plain,
( spl10_6
| spl10_2 ),
inference(avatar_split_clause,[],[f35,f71,f90]) ).
fof(f35,plain,
( sk_c7 = sF0
| sk_c8 = sF2 ),
inference(definition_folding,[],[f9,f34,f31]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f108,plain,
( spl10_5
| spl10_9 ),
inference(avatar_split_clause,[],[f46,f105,f85]) ).
fof(f46,plain,
( sk_c8 = sF4
| sk_c8 = sF7 ),
inference(definition_folding,[],[f17,f44,f37]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f103,plain,
( spl10_2
| spl10_8 ),
inference(avatar_split_clause,[],[f61,f100,f71]) ).
fof(f61,plain,
( sk_c8 = sF8
| sk_c7 = sF0 ),
inference(definition_folding,[],[f6,f31,f47]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f98,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f52,f94,f80]) ).
fof(f52,plain,
( sk_c8 = sF3
| sk_c7 = sF9 ),
inference(definition_folding,[],[f13,f36,f51]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f97,plain,
( spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f56,f94,f90]) ).
fof(f56,plain,
( sk_c8 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f15,f34,f36]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f88,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f54,f85,f80]) ).
fof(f54,plain,
( sk_c8 = sF7
| sk_c7 = sF9 ),
inference(definition_folding,[],[f19,f44,f51]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f83,plain,
( spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f63,f80,f76]) ).
fof(f63,plain,
( sk_c7 = sF9
| sk_c3 = sF6 ),
inference(definition_folding,[],[f25,f40,f51]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f74,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f33,f71,f67]) ).
fof(f33,plain,
( sk_c7 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f8,f32,f31]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP213-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:21:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.51 % (29919)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.51 % (29928)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)
% 0.20/0.51 % (29920)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.51 % (29937)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.20/0.52 % (29928)Instruction limit reached!
% 0.20/0.52 % (29928)------------------------------
% 0.20/0.52 % (29928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (29912)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52 % (29912)Refutation not found, incomplete strategy% (29912)------------------------------
% 0.20/0.52 % (29912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29920)Instruction limit reached!
% 0.20/0.53 % (29920)------------------------------
% 0.20/0.53 % (29920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29912)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (29912)Memory used [KB]: 5884
% 0.20/0.53 % (29912)Time elapsed: 0.108 s
% 0.20/0.53 % (29912)Instructions burned: 2 (million)
% 0.20/0.53 % (29912)------------------------------
% 0.20/0.53 % (29912)------------------------------
% 0.20/0.53 % (29913)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53 % (29920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29920)Termination reason: Unknown
% 0.20/0.53 % (29920)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (29920)Memory used [KB]: 6012
% 0.20/0.53 % (29920)Time elapsed: 0.106 s
% 0.20/0.53 % (29920)Instructions burned: 6 (million)
% 0.20/0.53 % (29920)------------------------------
% 0.20/0.53 % (29920)------------------------------
% 0.20/0.53 % (29938)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.53 % (29938)Refutation not found, incomplete strategy% (29938)------------------------------
% 0.20/0.53 % (29938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29938)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (29938)Memory used [KB]: 5884
% 0.20/0.53 % (29938)Time elapsed: 0.122 s
% 0.20/0.53 % (29938)Instructions burned: 3 (million)
% 0.20/0.53 % (29938)------------------------------
% 0.20/0.53 % (29938)------------------------------
% 0.20/0.53 % (29928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29928)Termination reason: Unknown
% 0.20/0.53 % (29928)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (29928)Memory used [KB]: 6012
% 0.20/0.53 % (29928)Time elapsed: 0.113 s
% 0.20/0.53 % (29928)Instructions burned: 8 (million)
% 0.20/0.53 % (29928)------------------------------
% 0.20/0.53 % (29928)------------------------------
% 0.20/0.53 % (29914)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (29930)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.20/0.54 % (29919)Instruction limit reached!
% 0.20/0.54 % (29919)------------------------------
% 0.20/0.54 % (29919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29930)Refutation not found, incomplete strategy% (29930)------------------------------
% 0.20/0.54 % (29930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29930)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29930)Memory used [KB]: 5884
% 0.20/0.54 % (29930)Time elapsed: 0.139 s
% 0.20/0.54 % (29930)Instructions burned: 3 (million)
% 0.20/0.54 % (29930)------------------------------
% 0.20/0.54 % (29930)------------------------------
% 0.20/0.54 % (29919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29932)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (29909)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.54 % (29919)Termination reason: Unknown
% 0.20/0.54 % (29919)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29919)Memory used [KB]: 6140
% 0.20/0.54 % (29919)Time elapsed: 0.135 s
% 0.20/0.54 % (29919)Instructions burned: 23 (million)
% 0.20/0.54 % (29919)------------------------------
% 0.20/0.54 % (29919)------------------------------
% 0.20/0.54 % (29932)Refutation not found, incomplete strategy% (29932)------------------------------
% 0.20/0.54 % (29932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29932)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (29932)Memory used [KB]: 5884
% 0.20/0.54 % (29932)Time elapsed: 0.093 s
% 0.20/0.54 % (29932)Instructions burned: 2 (million)
% 0.20/0.54 % (29932)------------------------------
% 0.20/0.54 % (29932)------------------------------
% 0.20/0.54 % (29939)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (29923)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54 % (29910)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.54 % (29918)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)
% 0.20/0.54 % (29925)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (29925)Instruction limit reached!
% 0.20/0.54 % (29925)------------------------------
% 0.20/0.54 % (29925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (29925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (29925)Termination reason: Unknown
% 0.20/0.54 % (29925)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (29925)Memory used [KB]: 1279
% 0.20/0.54 % (29925)Time elapsed: 0.002 s
% 0.20/0.54 % (29925)Instructions burned: 2 (million)
% 0.20/0.54 % (29925)------------------------------
% 0.20/0.54 % (29925)------------------------------
% 0.20/0.55 % (29921)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (29918)Instruction limit reached!
% 0.20/0.55 % (29918)------------------------------
% 0.20/0.55 % (29918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29918)Termination reason: Unknown
% 0.20/0.55 % (29918)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29918)Memory used [KB]: 6012
% 0.20/0.55 % (29918)Time elapsed: 0.133 s
% 0.20/0.55 % (29918)Instructions burned: 6 (million)
% 0.20/0.55 % (29918)------------------------------
% 0.20/0.55 % (29918)------------------------------
% 0.20/0.55 % (29922)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.55 % (29921)Instruction limit reached!
% 0.20/0.55 % (29921)------------------------------
% 0.20/0.55 % (29921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29921)Termination reason: Unknown
% 0.20/0.55 % (29921)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29921)Memory used [KB]: 5884
% 0.20/0.55 % (29921)Time elapsed: 0.003 s
% 0.20/0.55 % (29921)Instructions burned: 4 (million)
% 0.20/0.55 % (29921)------------------------------
% 0.20/0.55 % (29921)------------------------------
% 0.20/0.55 % (29923)Instruction limit reached!
% 0.20/0.55 % (29923)------------------------------
% 0.20/0.55 % (29923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29915)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (29935)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.55 % (29923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29923)Termination reason: Unknown
% 0.20/0.55 % (29923)Termination phase: Finite model building constraint generation
% 0.20/0.55
% 0.20/0.55 % (29916)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (29923)Memory used [KB]: 6012
% 0.20/0.55 % (29923)Time elapsed: 0.007 s
% 0.20/0.55 % (29923)Instructions burned: 6 (million)
% 0.20/0.55 % (29923)------------------------------
% 0.20/0.55 % (29923)------------------------------
% 0.20/0.55 % (29911)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.55 % (29917)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (29933)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.55 % (29911)Refutation not found, incomplete strategy% (29911)------------------------------
% 0.20/0.55 % (29911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29911)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (29911)Memory used [KB]: 5884
% 0.20/0.55 % (29911)Time elapsed: 0.136 s
% 0.20/0.55 % (29911)Instructions burned: 2 (million)
% 0.20/0.55 % (29911)------------------------------
% 0.20/0.55 % (29911)------------------------------
% 0.20/0.55 % (29908)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.55 % (29931)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.55 % (29915)Refutation not found, incomplete strategy% (29915)------------------------------
% 0.20/0.55 % (29915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29915)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (29915)Memory used [KB]: 5884
% 0.20/0.55 % (29915)Time elapsed: 0.110 s
% 0.20/0.55 % (29915)Instructions burned: 4 (million)
% 0.20/0.55 % (29915)------------------------------
% 0.20/0.55 % (29915)------------------------------
% 0.20/0.56 % (29934)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.56 % (29934)Refutation not found, incomplete strategy% (29934)------------------------------
% 0.20/0.56 % (29934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29926)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.56 % (29910)Instruction limit reached!
% 0.20/0.56 % (29910)------------------------------
% 0.20/0.56 % (29910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (29910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (29910)Termination reason: Unknown
% 0.20/0.56 % (29910)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (29910)Memory used [KB]: 5884
% 0.20/0.56 % (29910)Time elapsed: 0.153 s
% 0.20/0.56 % (29910)Instructions burned: 4 (million)
% 0.20/0.56 % (29910)------------------------------
% 0.20/0.56 % (29910)------------------------------
% 0.20/0.56 % (29926)Instruction limit reached!
% 0.20/0.56 % (29926)------------------------------
% 0.20/0.56 % (29926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29929)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.57 % (29929)Instruction limit reached!
% 0.20/0.57 % (29929)------------------------------
% 0.20/0.57 % (29929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29916)Instruction limit reached!
% 0.20/0.57 % (29916)------------------------------
% 0.20/0.57 % (29916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29916)Termination reason: Unknown
% 0.20/0.57 % (29916)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (29916)Memory used [KB]: 5884
% 0.20/0.57 % (29916)Time elapsed: 0.004 s
% 0.20/0.57 % (29916)Instructions burned: 3 (million)
% 0.20/0.57 % (29916)------------------------------
% 0.20/0.57 % (29916)------------------------------
% 0.20/0.57 % (29913)Instruction limit reached!
% 0.20/0.57 % (29913)------------------------------
% 0.20/0.57 % (29913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (29913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (29913)Termination reason: Unknown
% 0.20/0.57 % (29913)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (29913)Memory used [KB]: 6140
% 0.20/0.57 % (29913)Time elapsed: 0.167 s
% 0.20/0.57 % (29913)Instructions burned: 25 (million)
% 0.20/0.57 % (29913)------------------------------
% 0.20/0.57 % (29913)------------------------------
% 0.20/0.57 % (29927)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.58 % (29927)Refutation not found, incomplete strategy% (29927)------------------------------
% 0.20/0.58 % (29927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (29927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29927)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (29927)Memory used [KB]: 10490
% 0.20/0.58 % (29927)Time elapsed: 0.177 s
% 0.20/0.58 % (29927)Instructions burned: 8 (million)
% 0.20/0.58 % (29927)------------------------------
% 0.20/0.58 % (29927)------------------------------
% 0.20/0.58 % (29934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29934)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58
% 0.20/0.58 % (29934)Memory used [KB]: 5884
% 0.20/0.58 % (29934)Time elapsed: 0.154 s
% 0.20/0.58 % (29934)Instructions burned: 4 (million)
% 0.20/0.58 % (29934)------------------------------
% 0.20/0.58 % (29934)------------------------------
% 0.20/0.58 % (29929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (29929)Termination reason: Unknown
% 0.20/0.58 % (29929)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (29929)Memory used [KB]: 1407
% 0.20/0.58 % (29929)Time elapsed: 0.167 s
% 0.20/0.58 % (29929)Instructions burned: 7 (million)
% 0.20/0.58 % (29929)------------------------------
% 0.20/0.58 % (29929)------------------------------
% 1.79/0.59 % (29926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (29926)Termination reason: Unknown
% 1.79/0.59 % (29926)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (29926)Memory used [KB]: 6012
% 1.79/0.59 % (29926)Time elapsed: 0.157 s
% 1.79/0.59 % (29926)Instructions burned: 9 (million)
% 1.79/0.59 % (29926)------------------------------
% 1.79/0.59 % (29926)------------------------------
% 1.79/0.59 % (29922)Instruction limit reached!
% 1.79/0.59 % (29922)------------------------------
% 1.79/0.59 % (29922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.59 % (29922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.59 % (29922)Termination reason: Unknown
% 1.79/0.59 % (29922)Termination phase: Saturation
% 1.79/0.59
% 1.79/0.59 % (29922)Memory used [KB]: 1663
% 1.79/0.59 % (29922)Time elapsed: 0.189 s
% 1.79/0.59 % (29922)Instructions burned: 29 (million)
% 1.79/0.59 % (29922)------------------------------
% 1.79/0.59 % (29922)------------------------------
% 1.79/0.60 % (29908)First to succeed.
% 1.97/0.61 % (29909)Instruction limit reached!
% 1.97/0.61 % (29909)------------------------------
% 1.97/0.61 % (29909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (29937)Refutation not found, non-redundant clauses discarded% (29937)------------------------------
% 1.97/0.61 % (29937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (29937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (29937)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.97/0.61
% 1.97/0.61 % (29937)Memory used [KB]: 2046
% 1.97/0.61 % (29937)Time elapsed: 0.192 s
% 1.97/0.61 % (29937)Instructions burned: 68 (million)
% 1.97/0.61 % (29937)------------------------------
% 1.97/0.61 % (29937)------------------------------
% 1.97/0.61 % (29908)Refutation found. Thanks to Tanya!
% 1.97/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.97/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.61 % (29908)------------------------------
% 1.97/0.61 % (29908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.97/0.61 % (29908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.97/0.61 % (29908)Termination reason: Refutation
% 1.97/0.61
% 1.97/0.61 % (29908)Memory used [KB]: 6396
% 1.97/0.61 % (29908)Time elapsed: 0.180 s
% 1.97/0.61 % (29908)Instructions burned: 33 (million)
% 1.97/0.61 % (29908)------------------------------
% 1.97/0.61 % (29908)------------------------------
% 1.97/0.61 % (29902)Success in time 0.247 s
%------------------------------------------------------------------------------