TSTP Solution File: GRP256-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP256-1 : 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 : n019.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 16:15:03 EDT 2022
% Result : Unsatisfiable 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 70
% Syntax : Number of formulae : 337 ( 30 unt; 0 def)
% Number of atoms : 1001 ( 365 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 1254 ( 590 ~; 637 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1018,plain,
$false,
inference(avatar_sat_refutation,[],[f120,f121,f142,f156,f162,f167,f168,f179,f181,f182,f187,f188,f189,f190,f192,f194,f195,f196,f198,f199,f201,f204,f205,f206,f207,f208,f209,f253,f255,f265,f294,f359,f397,f401,f439,f441,f448,f481,f510,f542,f547,f560,f562,f574,f605,f647,f661,f716,f761,f771,f839,f843,f844,f876,f949,f965,f1013,f1017]) ).
fof(f1017,plain,
( ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_31 ),
inference(avatar_contradiction_clause,[],[f1016]) ).
fof(f1016,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_31 ),
inference(subsumption_resolution,[],[f1015,f940]) ).
fof(f940,plain,
( identity = inverse(identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28 ),
inference(backward_demodulation,[],[f910,f282]) ).
fof(f282,plain,
( identity = sk_c8
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl13_28
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f910,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24 ),
inference(backward_demodulation,[],[f263,f909]) ).
fof(f909,plain,
( sk_c8 = sk_c3
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22 ),
inference(backward_demodulation,[],[f493,f866]) ).
fof(f866,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22 ),
inference(backward_demodulation,[],[f704,f246]) ).
fof(f246,plain,
( identity = sk_c9
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl13_22
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f704,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c9)
| ~ spl13_5
| ~ spl13_12 ),
inference(superposition,[],[f310,f489]) ).
fof(f489,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f479,f151]) ).
fof(f151,plain,
( sk_c8 = sF6
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl13_12
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f479,plain,
( sk_c9 = multiply(sk_c8,sF6)
| ~ spl13_5 ),
inference(backward_demodulation,[],[f350,f125]) ).
fof(f125,plain,
( sk_c8 = sF10
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl13_5
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f350,plain,
sk_c9 = multiply(sF10,sF6),
inference(forward_demodulation,[],[f344,f65]) ).
fof(f65,plain,
inverse(sk_c3) = sF10,
introduced(function_definition,[]) ).
fof(f344,plain,
sk_c9 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f310,f57]) ).
fof(f57,plain,
multiply(sk_c3,sk_c9) = sF6,
introduced(function_definition,[]) ).
fof(f310,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f297,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f297,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(f493,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f347,f125]) ).
fof(f347,plain,
sk_c3 = multiply(inverse(sF10),identity),
inference(superposition,[],[f310,f225]) ).
fof(f225,plain,
identity = multiply(sF10,sk_c3),
inference(superposition,[],[f2,f65]) ).
fof(f263,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl13_24 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl13_24
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f1015,plain,
( identity != inverse(identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_31 ),
inference(forward_demodulation,[],[f1014,f940]) ).
fof(f1014,plain,
( identity != inverse(inverse(identity))
| ~ spl13_22
| spl13_31 ),
inference(forward_demodulation,[],[f546,f246]) ).
fof(f546,plain,
( sk_c9 != inverse(inverse(sk_c9))
| spl13_31 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f544,plain,
( spl13_31
<=> sk_c9 = inverse(inverse(sk_c9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f1013,plain,
( ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_32 ),
inference(avatar_contradiction_clause,[],[f1012]) ).
fof(f1012,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_32 ),
inference(subsumption_resolution,[],[f1011,f940]) ).
fof(f1011,plain,
( identity != inverse(identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28
| spl13_32 ),
inference(forward_demodulation,[],[f962,f940]) ).
fof(f962,plain,
( identity != inverse(inverse(identity))
| ~ spl13_28
| spl13_32 ),
inference(forward_demodulation,[],[f559,f282]) ).
fof(f559,plain,
( sk_c8 != inverse(inverse(sk_c8))
| spl13_32 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl13_32
<=> sk_c8 = inverse(inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f965,plain,
( ~ spl13_13
| ~ spl13_22
| ~ spl13_28
| spl13_32 ),
inference(avatar_contradiction_clause,[],[f964]) ).
fof(f964,plain,
( $false
| ~ spl13_13
| ~ spl13_22
| ~ spl13_28
| spl13_32 ),
inference(subsumption_resolution,[],[f963,f889]) ).
fof(f889,plain,
( identity = inverse(identity)
| ~ spl13_13
| ~ spl13_22 ),
inference(backward_demodulation,[],[f852,f887]) ).
fof(f887,plain,
( identity = sk_c6
| ~ spl13_13
| ~ spl13_22 ),
inference(forward_demodulation,[],[f855,f2]) ).
fof(f855,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl13_13
| ~ spl13_22 ),
inference(backward_demodulation,[],[f338,f246]) ).
fof(f338,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl13_13 ),
inference(superposition,[],[f310,f223]) ).
fof(f223,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl13_13 ),
inference(superposition,[],[f2,f215]) ).
fof(f215,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl13_13 ),
inference(backward_demodulation,[],[f52,f155]) ).
fof(f155,plain,
( sk_c9 = sF3
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl13_13
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f52,plain,
inverse(sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f852,plain,
( identity = inverse(sk_c6)
| ~ spl13_13
| ~ spl13_22 ),
inference(backward_demodulation,[],[f215,f246]) ).
fof(f963,plain,
( identity != inverse(identity)
| ~ spl13_13
| ~ spl13_22
| ~ spl13_28
| spl13_32 ),
inference(forward_demodulation,[],[f962,f889]) ).
fof(f949,plain,
( ~ spl13_8
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28 ),
inference(avatar_contradiction_clause,[],[f948]) ).
fof(f948,plain,
( $false
| ~ spl13_8
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28 ),
inference(subsumption_resolution,[],[f947,f1]) ).
fof(f947,plain,
( identity != multiply(identity,identity)
| ~ spl13_8
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28 ),
inference(forward_demodulation,[],[f946,f246]) ).
fof(f946,plain,
( identity != multiply(sk_c9,identity)
| ~ spl13_8
| ~ spl13_12
| ~ spl13_22
| ~ spl13_24
| ~ spl13_28 ),
inference(subsumption_resolution,[],[f945,f246]) ).
fof(f945,plain,
( identity != multiply(sk_c9,identity)
| identity != sk_c9
| ~ spl13_8
| ~ spl13_12
| ~ spl13_24
| ~ spl13_28 ),
inference(forward_demodulation,[],[f944,f282]) ).
fof(f944,plain,
( sk_c9 != sk_c8
| identity != multiply(sk_c9,identity)
| ~ spl13_8
| ~ spl13_12
| ~ spl13_24
| ~ spl13_28 ),
inference(forward_demodulation,[],[f812,f282]) ).
fof(f812,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| sk_c9 != sk_c8
| ~ spl13_8
| ~ spl13_12
| ~ spl13_24 ),
inference(forward_demodulation,[],[f809,f263]) ).
fof(f809,plain,
( sk_c9 != inverse(sk_c3)
| sk_c8 != multiply(sk_c9,sk_c8)
| ~ spl13_8
| ~ spl13_12 ),
inference(superposition,[],[f135,f503]) ).
fof(f503,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl13_12 ),
inference(forward_demodulation,[],[f57,f151]) ).
fof(f135,plain,
( ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl13_8
<=> ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f876,plain,
( ~ spl13_28
| ~ spl13_22
| spl13_33 ),
inference(avatar_split_clause,[],[f875,f571,f245,f281]) ).
fof(f571,plain,
( spl13_33
<=> sk_c8 = multiply(sk_c9,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f875,plain,
( identity != sk_c8
| ~ spl13_22
| spl13_33 ),
inference(forward_demodulation,[],[f862,f1]) ).
fof(f862,plain,
( sk_c8 != multiply(identity,identity)
| ~ spl13_22
| spl13_33 ),
inference(backward_demodulation,[],[f573,f246]) ).
fof(f573,plain,
( sk_c8 != multiply(sk_c9,identity)
| spl13_33 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f844,plain,
( ~ spl13_26
| ~ spl13_1
| ~ spl13_3
| ~ spl13_8
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f811,f153,f134,f113,f104,f271]) ).
fof(f271,plain,
( spl13_26
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f104,plain,
( spl13_1
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f113,plain,
( spl13_3
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f811,plain,
( sk_c9 != sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_8
| ~ spl13_13 ),
inference(forward_demodulation,[],[f810,f785]) ).
fof(f785,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f413,f115]) ).
fof(f115,plain,
( sk_c8 = sF8
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f413,plain,
( sk_c9 = multiply(sk_c9,sF8)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f353,f106]) ).
fof(f106,plain,
( sk_c9 = sF2
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f353,plain,
sk_c9 = multiply(sF2,sF8),
inference(forward_demodulation,[],[f343,f51]) ).
fof(f51,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f343,plain,
sk_c9 = multiply(inverse(sk_c2),sF8),
inference(superposition,[],[f310,f61]) ).
fof(f61,plain,
multiply(sk_c2,sk_c9) = sF8,
introduced(function_definition,[]) ).
fof(f810,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_8
| ~ spl13_13 ),
inference(subsumption_resolution,[],[f808,f215]) ).
fof(f808,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(sk_c6)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_8
| ~ spl13_13 ),
inference(superposition,[],[f135,f781]) ).
fof(f781,plain,
( sk_c8 = multiply(sk_c6,sk_c9)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_13 ),
inference(forward_demodulation,[],[f483,f115]) ).
fof(f483,plain,
( multiply(sk_c6,sk_c9) = sF8
| ~ spl13_1
| ~ spl13_13 ),
inference(backward_demodulation,[],[f61,f482]) ).
fof(f482,plain,
( sk_c6 = sk_c2
| ~ spl13_1
| ~ spl13_13 ),
inference(backward_demodulation,[],[f414,f338]) ).
fof(f414,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f346,f106]) ).
fof(f346,plain,
sk_c2 = multiply(inverse(sF2),identity),
inference(superposition,[],[f310,f224]) ).
fof(f224,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f51]) ).
fof(f843,plain,
( ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_12
| spl13_26 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_12
| spl13_26 ),
inference(subsumption_resolution,[],[f841,f273]) ).
fof(f273,plain,
( sk_c9 != sk_c8
| spl13_26 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f841,plain,
( sk_c9 = sk_c8
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_12 ),
inference(backward_demodulation,[],[f503,f840]) ).
fof(f840,plain,
( sk_c9 = multiply(sk_c3,sk_c9)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f834,f489]) ).
fof(f834,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl13_1
| ~ spl13_3
| ~ spl13_12 ),
inference(superposition,[],[f490,f785]) ).
fof(f490,plain,
( ! [X15] : multiply(sk_c8,X15) = multiply(sk_c3,multiply(sk_c9,X15))
| ~ spl13_12 ),
inference(backward_demodulation,[],[f305,f151]) ).
fof(f305,plain,
! [X15] : multiply(sF6,X15) = multiply(sk_c3,multiply(sk_c9,X15)),
inference(superposition,[],[f3,f57]) ).
fof(f839,plain,
( ~ spl13_1
| ~ spl13_3
| spl13_28 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl13_1
| ~ spl13_3
| spl13_28 ),
inference(subsumption_resolution,[],[f837,f283]) ).
fof(f283,plain,
( identity != sk_c8
| spl13_28 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f837,plain,
( identity = sk_c8
| ~ spl13_1
| ~ spl13_3 ),
inference(forward_demodulation,[],[f835,f2]) ).
fof(f835,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_1
| ~ spl13_3 ),
inference(superposition,[],[f310,f785]) ).
fof(f771,plain,
( ~ spl13_5
| ~ spl13_12
| ~ spl13_13
| ~ spl13_17
| spl13_22
| ~ spl13_28
| ~ spl13_30 ),
inference(avatar_contradiction_clause,[],[f770]) ).
fof(f770,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| ~ spl13_13
| ~ spl13_17
| spl13_22
| ~ spl13_28
| ~ spl13_30 ),
inference(subsumption_resolution,[],[f769,f247]) ).
fof(f247,plain,
( identity != sk_c9
| spl13_22 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f769,plain,
( identity = sk_c9
| ~ spl13_5
| ~ spl13_12
| ~ spl13_13
| ~ spl13_17
| ~ spl13_28
| ~ spl13_30 ),
inference(forward_demodulation,[],[f738,f748]) ).
fof(f748,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl13_5
| ~ spl13_12
| ~ spl13_28 ),
inference(forward_demodulation,[],[f747,f1]) ).
fof(f747,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,X0)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_28 ),
inference(forward_demodulation,[],[f745,f1]) ).
fof(f745,plain,
( ! [X0] : multiply(identity,multiply(identity,X0)) = multiply(sk_c9,X0)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_28 ),
inference(backward_demodulation,[],[f705,f282]) ).
fof(f705,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c9,X0)
| ~ spl13_5
| ~ spl13_12 ),
inference(superposition,[],[f3,f489]) ).
fof(f738,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl13_13
| ~ spl13_17
| ~ spl13_28
| ~ spl13_30 ),
inference(backward_demodulation,[],[f515,f282]) ).
fof(f515,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(backward_demodulation,[],[f354,f292]) ).
fof(f292,plain,
( sk_c8 = sk_c7
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl13_30
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f354,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl13_13
| ~ spl13_17 ),
inference(forward_demodulation,[],[f342,f215]) ).
fof(f342,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl13_17 ),
inference(superposition,[],[f310,f217]) ).
fof(f217,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl13_17 ),
inference(backward_demodulation,[],[f56,f178]) ).
fof(f178,plain,
( sk_c7 = sF5
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl13_17
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f56,plain,
multiply(sk_c6,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f761,plain,
( ~ spl13_5
| ~ spl13_12
| spl13_22
| ~ spl13_28 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f760,plain,
( $false
| ~ spl13_5
| ~ spl13_12
| spl13_22
| ~ spl13_28 ),
inference(subsumption_resolution,[],[f759,f247]) ).
fof(f759,plain,
( identity = sk_c9
| ~ spl13_5
| ~ spl13_12
| ~ spl13_28 ),
inference(forward_demodulation,[],[f731,f1]) ).
fof(f731,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl13_5
| ~ spl13_12
| ~ spl13_28 ),
inference(backward_demodulation,[],[f489,f282]) ).
fof(f716,plain,
( spl13_28
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f715,f291,f176,f153,f281]) ).
fof(f715,plain,
( identity = sk_c8
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(forward_demodulation,[],[f713,f2]) ).
fof(f713,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(superposition,[],[f310,f515]) ).
fof(f661,plain,
( ~ spl13_13
| ~ spl13_22
| spl13_31 ),
inference(avatar_contradiction_clause,[],[f660]) ).
fof(f660,plain,
( $false
| ~ spl13_13
| ~ spl13_22
| spl13_31 ),
inference(subsumption_resolution,[],[f657,f655]) ).
fof(f655,plain,
( identity = inverse(identity)
| ~ spl13_13
| ~ spl13_22 ),
inference(forward_demodulation,[],[f613,f639]) ).
fof(f639,plain,
( identity = sk_c6
| ~ spl13_13
| ~ spl13_22 ),
inference(forward_demodulation,[],[f619,f2]) ).
fof(f619,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl13_13
| ~ spl13_22 ),
inference(backward_demodulation,[],[f338,f246]) ).
fof(f613,plain,
( identity = inverse(sk_c6)
| ~ spl13_13
| ~ spl13_22 ),
inference(backward_demodulation,[],[f215,f246]) ).
fof(f657,plain,
( identity != inverse(identity)
| ~ spl13_13
| ~ spl13_22
| spl13_31 ),
inference(backward_demodulation,[],[f631,f655]) ).
fof(f631,plain,
( identity != inverse(inverse(identity))
| ~ spl13_22
| spl13_31 ),
inference(backward_demodulation,[],[f546,f246]) ).
fof(f647,plain,
( spl13_28
| ~ spl13_4
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_22
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f646,f291,f245,f184,f176,f153,f117,f281]) ).
fof(f117,plain,
( spl13_4
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f184,plain,
( spl13_18
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f646,plain,
( identity = sk_c8
| ~ spl13_4
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_22
| ~ spl13_30 ),
inference(backward_demodulation,[],[f620,f645]) ).
fof(f645,plain,
( ! [X13] : multiply(sk_c8,X13) = X13
| ~ spl13_13
| ~ spl13_17
| ~ spl13_22
| ~ spl13_30 ),
inference(forward_demodulation,[],[f644,f1]) ).
fof(f644,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c8,X13)
| ~ spl13_13
| ~ spl13_17
| ~ spl13_22
| ~ spl13_30 ),
inference(forward_demodulation,[],[f643,f639]) ).
fof(f643,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c6,X13)
| ~ spl13_17
| ~ spl13_22
| ~ spl13_30 ),
inference(forward_demodulation,[],[f629,f1]) ).
fof(f629,plain,
( ! [X13] : multiply(sk_c8,X13) = multiply(sk_c6,multiply(identity,X13))
| ~ spl13_17
| ~ spl13_22
| ~ spl13_30 ),
inference(backward_demodulation,[],[f514,f246]) ).
fof(f514,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c9,X13)) = multiply(sk_c8,X13)
| ~ spl13_17
| ~ spl13_30 ),
inference(backward_demodulation,[],[f303,f292]) ).
fof(f303,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c9,X13)) = multiply(sk_c7,X13)
| ~ spl13_17 ),
inference(superposition,[],[f3,f217]) ).
fof(f620,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl13_4
| ~ spl13_18
| ~ spl13_22 ),
inference(backward_demodulation,[],[f349,f246]) ).
fof(f349,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl13_4
| ~ spl13_18 ),
inference(forward_demodulation,[],[f340,f219]) ).
fof(f219,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl13_18 ),
inference(backward_demodulation,[],[f66,f186]) ).
fof(f186,plain,
( sk_c8 = sF11
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f66,plain,
inverse(sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f340,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl13_4 ),
inference(superposition,[],[f310,f213]) ).
fof(f213,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f54,f119]) ).
fof(f119,plain,
( sk_c9 = sF4
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f54,plain,
multiply(sk_c5,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f605,plain,
( spl13_22
| ~ spl13_4
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f604,f184,f117,f245]) ).
fof(f604,plain,
( identity = sk_c9
| ~ spl13_4
| ~ spl13_18 ),
inference(forward_demodulation,[],[f599,f2]) ).
fof(f599,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl13_4
| ~ spl13_18 ),
inference(superposition,[],[f310,f349]) ).
fof(f574,plain,
( ~ spl13_33
| ~ spl13_31
| ~ spl13_8 ),
inference(avatar_split_clause,[],[f565,f134,f544,f571]) ).
fof(f565,plain,
( sk_c9 != inverse(inverse(sk_c9))
| sk_c8 != multiply(sk_c9,identity)
| ~ spl13_8 ),
inference(superposition,[],[f135,f2]) ).
fof(f562,plain,
( ~ spl13_4
| ~ spl13_9
| ~ spl13_18 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f561,plain,
( $false
| ~ spl13_4
| ~ spl13_9
| ~ spl13_18 ),
inference(subsumption_resolution,[],[f555,f219]) ).
fof(f555,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl13_4
| ~ spl13_9 ),
inference(trivial_inequality_removal,[],[f554]) ).
fof(f554,plain,
( sk_c8 != inverse(sk_c5)
| sk_c9 != sk_c9
| ~ spl13_4
| ~ spl13_9 ),
inference(superposition,[],[f138,f213]) ).
fof(f138,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl13_9
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f560,plain,
( ~ spl13_32
| ~ spl13_22
| ~ spl13_9 ),
inference(avatar_split_clause,[],[f553,f137,f245,f557]) ).
fof(f553,plain,
( identity != sk_c9
| sk_c8 != inverse(inverse(sk_c8))
| ~ spl13_9 ),
inference(superposition,[],[f138,f2]) ).
fof(f547,plain,
( ~ spl13_28
| ~ spl13_31
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f536,f140,f544,f281]) ).
fof(f140,plain,
( spl13_10
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f536,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| ~ spl13_10 ),
inference(superposition,[],[f141,f2]) ).
fof(f141,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f542,plain,
( ~ spl13_10
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(avatar_contradiction_clause,[],[f541]) ).
fof(f541,plain,
( $false
| ~ spl13_10
| ~ spl13_13
| ~ spl13_17
| ~ spl13_30 ),
inference(subsumption_resolution,[],[f540,f215]) ).
fof(f540,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl13_10
| ~ spl13_17
| ~ spl13_30 ),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f538,plain,
( sk_c9 != inverse(sk_c6)
| sk_c8 != sk_c8
| ~ spl13_10
| ~ spl13_17
| ~ spl13_30 ),
inference(superposition,[],[f141,f512]) ).
fof(f512,plain,
( sk_c8 = multiply(sk_c6,sk_c9)
| ~ spl13_17
| ~ spl13_30 ),
inference(backward_demodulation,[],[f217,f292]) ).
fof(f510,plain,
( spl13_30
| ~ spl13_1
| ~ spl13_3
| ~ spl13_13
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f507,f176,f153,f113,f104,f291]) ).
fof(f507,plain,
( sk_c8 = sk_c7
| ~ spl13_1
| ~ spl13_3
| ~ spl13_13
| ~ spl13_17 ),
inference(backward_demodulation,[],[f501,f115]) ).
fof(f501,plain,
( sk_c7 = sF8
| ~ spl13_1
| ~ spl13_13
| ~ spl13_17 ),
inference(backward_demodulation,[],[f483,f217]) ).
fof(f481,plain,
( spl13_24
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f480,f123,f262]) ).
fof(f480,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f65,f125]) ).
fof(f448,plain,
( ~ spl13_4
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26
| spl13_30 ),
inference(avatar_contradiction_clause,[],[f447]) ).
fof(f447,plain,
( $false
| ~ spl13_4
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26
| spl13_30 ),
inference(subsumption_resolution,[],[f369,f408]) ).
fof(f408,plain,
( sk_c9 = sk_c7
| ~ spl13_4
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f381,f365]) ).
fof(f365,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl13_4
| ~ spl13_26 ),
inference(backward_demodulation,[],[f213,f272]) ).
fof(f272,plain,
( sk_c9 = sk_c8
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f381,plain,
( sk_c7 = multiply(sk_c5,sk_c9)
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f217,f377]) ).
fof(f377,plain,
( sk_c5 = sk_c6
| ~ spl13_13
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f338,f375]) ).
fof(f375,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f341,f272]) ).
fof(f341,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl13_18 ),
inference(superposition,[],[f310,f222]) ).
fof(f222,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl13_18 ),
inference(superposition,[],[f2,f219]) ).
fof(f369,plain,
( sk_c9 != sk_c7
| ~ spl13_26
| spl13_30 ),
inference(backward_demodulation,[],[f293,f272]) ).
fof(f293,plain,
( sk_c8 != sk_c7
| spl13_30 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f441,plain,
( spl13_23
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f431,f171,f250]) ).
fof(f250,plain,
( spl13_23
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f171,plain,
( spl13_16
<=> sk_c10 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f431,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_16 ),
inference(backward_demodulation,[],[f48,f173]) ).
fof(f173,plain,
( sk_c10 = sF0
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f48,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f439,plain,
( spl13_14
| ~ spl13_2
| ~ spl13_11
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f438,f171,f144,f108,f159]) ).
fof(f159,plain,
( spl13_14
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f108,plain,
( spl13_2
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f144,plain,
( spl13_11
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f438,plain,
( sk_c9 = sF9
| ~ spl13_2
| ~ spl13_11
| ~ spl13_16 ),
inference(backward_demodulation,[],[f63,f433]) ).
fof(f433,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl13_2
| ~ spl13_11
| ~ spl13_16 ),
inference(backward_demodulation,[],[f214,f432]) ).
fof(f432,plain,
( sk_c1 = sk_c4
| ~ spl13_2
| ~ spl13_16 ),
inference(backward_demodulation,[],[f335,f427]) ).
fof(f427,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl13_16 ),
inference(backward_demodulation,[],[f345,f173]) ).
fof(f345,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f310,f220]) ).
fof(f220,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f48]) ).
fof(f335,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl13_2 ),
inference(superposition,[],[f310,f221]) ).
fof(f221,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl13_2 ),
inference(superposition,[],[f2,f216]) ).
fof(f216,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f59,f110]) ).
fof(f110,plain,
( sk_c10 = sF7
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f59,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f214,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl13_11 ),
inference(backward_demodulation,[],[f49,f146]) ).
fof(f146,plain,
( sk_c9 = sF1
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f49,plain,
multiply(sk_c4,sk_c10) = sF1,
introduced(function_definition,[]) ).
fof(f63,plain,
multiply(sk_c1,sk_c10) = sF9,
introduced(function_definition,[]) ).
fof(f401,plain,
( ~ spl13_22
| ~ spl13_15
| ~ spl13_26
| spl13_30 ),
inference(avatar_split_clause,[],[f400,f291,f271,f164,f245]) ).
fof(f164,plain,
( spl13_15
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f400,plain,
( identity != sk_c9
| ~ spl13_15
| ~ spl13_26
| spl13_30 ),
inference(forward_demodulation,[],[f369,f383]) ).
fof(f383,plain,
( identity = sk_c7
| ~ spl13_15
| ~ spl13_26 ),
inference(forward_demodulation,[],[f374,f2]) ).
fof(f374,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_15
| ~ spl13_26 ),
inference(backward_demodulation,[],[f337,f272]) ).
fof(f337,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c8)
| ~ spl13_15 ),
inference(superposition,[],[f310,f218]) ).
fof(f218,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl13_15 ),
inference(backward_demodulation,[],[f68,f166]) ).
fof(f166,plain,
( sk_c8 = sF12
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f68,plain,
multiply(sk_c9,sk_c7) = sF12,
introduced(function_definition,[]) ).
fof(f397,plain,
( spl13_22
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f396,f271,f184,f176,f164,f153,f117,f245]) ).
fof(f396,plain,
( identity = sk_c9
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f385,f391]) ).
fof(f391,plain,
( ! [X12] : multiply(sk_c9,X12) = X12
| ~ spl13_4
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(forward_demodulation,[],[f371,f388]) ).
fof(f388,plain,
( ! [X13] : multiply(sk_c5,multiply(sk_c9,X13)) = X13
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(forward_demodulation,[],[f386,f1]) ).
fof(f386,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c5,multiply(sk_c9,X13))
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f379,f383]) ).
fof(f379,plain,
( ! [X13] : multiply(sk_c7,X13) = multiply(sk_c5,multiply(sk_c9,X13))
| ~ spl13_13
| ~ spl13_17
| ~ spl13_18
| ~ spl13_26 ),
inference(backward_demodulation,[],[f303,f377]) ).
fof(f371,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c5,multiply(sk_c9,X12))
| ~ spl13_4
| ~ spl13_26 ),
inference(backward_demodulation,[],[f302,f272]) ).
fof(f302,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c5,multiply(sk_c8,X12))
| ~ spl13_4 ),
inference(superposition,[],[f3,f213]) ).
fof(f385,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17
| ~ spl13_26 ),
inference(backward_demodulation,[],[f354,f383]) ).
fof(f359,plain,
( spl13_26
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f355,f176,f164,f153,f271]) ).
fof(f355,plain,
( sk_c9 = sk_c8
| ~ spl13_13
| ~ spl13_15
| ~ spl13_17 ),
inference(backward_demodulation,[],[f218,f354]) ).
fof(f294,plain,
( ~ spl13_30
| ~ spl13_26
| ~ spl13_7
| ~ spl13_13
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f289,f176,f153,f131,f271,f291]) ).
fof(f131,plain,
( spl13_7
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f289,plain,
( sk_c9 != sk_c8
| sk_c8 != sk_c7
| ~ spl13_7
| ~ spl13_13
| ~ spl13_17 ),
inference(forward_demodulation,[],[f258,f215]) ).
fof(f258,plain,
( sk_c8 != inverse(sk_c6)
| sk_c8 != sk_c7
| ~ spl13_7
| ~ spl13_17 ),
inference(superposition,[],[f132,f217]) ).
fof(f132,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f265,plain,
( ~ spl13_12
| ~ spl13_24
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f260,f131,f262,f149]) ).
fof(f260,plain,
( sk_c8 != inverse(sk_c3)
| sk_c8 != sF6
| ~ spl13_7 ),
inference(superposition,[],[f132,f57]) ).
fof(f255,plain,
( ~ spl13_2
| ~ spl13_6
| ~ spl13_11 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl13_2
| ~ spl13_6
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f230,f216]) ).
fof(f230,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl13_6
| ~ spl13_11 ),
inference(trivial_inequality_removal,[],[f229]) ).
fof(f229,plain,
( sk_c10 != inverse(sk_c4)
| sk_c9 != sk_c9
| ~ spl13_6
| ~ spl13_11 ),
inference(superposition,[],[f129,f214]) ).
fof(f129,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl13_6
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f253,plain,
( ~ spl13_14
| ~ spl13_23
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f228,f128,f250,f159]) ).
fof(f228,plain,
( sk_c10 != inverse(sk_c1)
| sk_c9 != sF9
| ~ spl13_6 ),
inference(superposition,[],[f129,f63]) ).
fof(f209,plain,
( spl13_17
| spl13_3 ),
inference(avatar_split_clause,[],[f73,f113,f176]) ).
fof(f73,plain,
( sk_c8 = sF8
| sk_c7 = sF5 ),
inference(definition_folding,[],[f23,f56,f61]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f208,plain,
( spl13_17
| spl13_16 ),
inference(avatar_split_clause,[],[f98,f171,f176]) ).
fof(f98,plain,
( sk_c10 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f16,f48,f56]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f207,plain,
( spl13_5
| spl13_15 ),
inference(avatar_split_clause,[],[f99,f164,f123]) ).
fof(f99,plain,
( sk_c8 = sF12
| sk_c8 = sF10 ),
inference(definition_folding,[],[f36,f65,f68]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f206,plain,
( spl13_4
| spl13_5 ),
inference(avatar_split_clause,[],[f86,f123,f117]) ).
fof(f86,plain,
( sk_c8 = sF10
| sk_c9 = sF4 ),
inference(definition_folding,[],[f34,f54,f65]) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f205,plain,
( spl13_16
| spl13_11 ),
inference(avatar_split_clause,[],[f50,f144,f171]) ).
fof(f50,plain,
( sk_c9 = sF1
| sk_c10 = sF0 ),
inference(definition_folding,[],[f11,f49,f48]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f204,plain,
( spl13_14
| spl13_11 ),
inference(avatar_split_clause,[],[f82,f144,f159]) ).
fof(f82,plain,
( sk_c9 = sF1
| sk_c9 = sF9 ),
inference(definition_folding,[],[f4,f63,f49]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f201,plain,
( spl13_18
| spl13_3 ),
inference(avatar_split_clause,[],[f80,f113,f184]) ).
fof(f80,plain,
( sk_c8 = sF8
| sk_c8 = sF11 ),
inference(definition_folding,[],[f21,f66,f61]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f199,plain,
( spl13_17
| spl13_12 ),
inference(avatar_split_clause,[],[f58,f149,f176]) ).
fof(f58,plain,
( sk_c8 = sF6
| sk_c7 = sF5 ),
inference(definition_folding,[],[f44,f57,f56]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f198,plain,
( spl13_1
| spl13_13 ),
inference(avatar_split_clause,[],[f53,f153,f104]) ).
fof(f53,plain,
( sk_c9 = sF3
| sk_c9 = sF2 ),
inference(definition_folding,[],[f31,f52,f51]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f196,plain,
( spl13_12
| spl13_18 ),
inference(avatar_split_clause,[],[f90,f184,f149]) ).
fof(f90,plain,
( sk_c8 = sF11
| sk_c8 = sF6 ),
inference(definition_folding,[],[f42,f66,f57]) ).
fof(f42,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f195,plain,
( spl13_5
| spl13_13 ),
inference(avatar_split_clause,[],[f70,f153,f123]) ).
fof(f70,plain,
( sk_c9 = sF3
| sk_c8 = sF10 ),
inference(definition_folding,[],[f38,f52,f65]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f194,plain,
( spl13_18
| spl13_1 ),
inference(avatar_split_clause,[],[f77,f104,f184]) ).
fof(f77,plain,
( sk_c9 = sF2
| sk_c8 = sF11 ),
inference(definition_folding,[],[f28,f51,f66]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f192,plain,
( spl13_4
| spl13_12 ),
inference(avatar_split_clause,[],[f89,f149,f117]) ).
fof(f89,plain,
( sk_c8 = sF6
| sk_c9 = sF4 ),
inference(definition_folding,[],[f41,f57,f54]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f190,plain,
( spl13_13
| spl13_3 ),
inference(avatar_split_clause,[],[f62,f113,f153]) ).
fof(f62,plain,
( sk_c8 = sF8
| sk_c9 = sF3 ),
inference(definition_folding,[],[f24,f61,f52]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f189,plain,
( spl13_15
| spl13_1 ),
inference(avatar_split_clause,[],[f94,f104,f164]) ).
fof(f94,plain,
( sk_c9 = sF2
| sk_c8 = sF12 ),
inference(definition_folding,[],[f29,f51,f68]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f188,plain,
( spl13_5
| spl13_17 ),
inference(avatar_split_clause,[],[f93,f176,f123]) ).
fof(f93,plain,
( sk_c7 = sF5
| sk_c8 = sF10 ),
inference(definition_folding,[],[f37,f65,f56]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f187,plain,
( spl13_18
| spl13_5 ),
inference(avatar_split_clause,[],[f67,f123,f184]) ).
fof(f67,plain,
( sk_c8 = sF10
| sk_c8 = sF11 ),
inference(definition_folding,[],[f35,f66,f65]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f182,plain,
( spl13_16
| spl13_2 ),
inference(avatar_split_clause,[],[f87,f108,f171]) ).
fof(f87,plain,
( sk_c10 = sF7
| sk_c10 = sF0 ),
inference(definition_folding,[],[f12,f48,f59]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f181,plain,
( spl13_14
| spl13_17 ),
inference(avatar_split_clause,[],[f96,f176,f159]) ).
fof(f96,plain,
( sk_c7 = sF5
| sk_c9 = sF9 ),
inference(definition_folding,[],[f9,f63,f56]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f179,plain,
( spl13_1
| spl13_17 ),
inference(avatar_split_clause,[],[f83,f176,f104]) ).
fof(f83,plain,
( sk_c7 = sF5
| sk_c9 = sF2 ),
inference(definition_folding,[],[f30,f56,f51]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f168,plain,
( spl13_15
| spl13_3 ),
inference(avatar_split_clause,[],[f76,f113,f164]) ).
fof(f76,plain,
( sk_c8 = sF8
| sk_c8 = sF12 ),
inference(definition_folding,[],[f22,f61,f68]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f167,plain,
( spl13_12
| spl13_15 ),
inference(avatar_split_clause,[],[f88,f164,f149]) ).
fof(f88,plain,
( sk_c8 = sF12
| sk_c8 = sF6 ),
inference(definition_folding,[],[f43,f68,f57]) ).
fof(f43,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f162,plain,
( spl13_14
| spl13_2 ),
inference(avatar_split_clause,[],[f64,f108,f159]) ).
fof(f64,plain,
( sk_c10 = sF7
| sk_c9 = sF9 ),
inference(definition_folding,[],[f5,f63,f59]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f156,plain,
( spl13_12
| spl13_13 ),
inference(avatar_split_clause,[],[f85,f153,f149]) ).
fof(f85,plain,
( sk_c9 = sF3
| sk_c8 = sF6 ),
inference(definition_folding,[],[f45,f57,f52]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f142,plain,
( spl13_6
| spl13_7
| spl13_6
| spl13_8
| spl13_9
| spl13_10 ),
inference(avatar_split_clause,[],[f47,f140,f137,f134,f128,f131,f128]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != multiply(X3,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( multiply(X9,sk_c9) != X8
| sk_c9 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c10 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(sk_c9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f121,plain,
( spl13_4
| spl13_1 ),
inference(avatar_split_clause,[],[f55,f104,f117]) ).
fof(f55,plain,
( sk_c9 = sF2
| sk_c9 = sF4 ),
inference(definition_folding,[],[f27,f54,f51]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f120,plain,
( spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f91,f117,f113]) ).
fof(f91,plain,
( sk_c9 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f20,f54,f61]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP256-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:26:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (28119)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)
% 0.18/0.49 % (28115)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.49 % (28123)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)
% 0.18/0.50 % (28138)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)
% 0.18/0.50 % (28123)Instruction limit reached!
% 0.18/0.50 % (28123)------------------------------
% 0.18/0.50 % (28123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (28123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (28123)Termination reason: Unknown
% 0.18/0.50 % (28123)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (28123)Memory used [KB]: 5884
% 0.18/0.50 % (28123)Time elapsed: 0.003 s
% 0.18/0.50 % (28123)Instructions burned: 3 (million)
% 0.18/0.50 % (28123)------------------------------
% 0.18/0.50 % (28123)------------------------------
% 0.18/0.50 % (28121)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)
% 0.18/0.50 % (28131)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)
% 0.18/0.50 % (28131)Instruction limit reached!
% 0.18/0.50 % (28131)------------------------------
% 0.18/0.50 % (28131)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (28131)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (28131)Termination reason: Unknown
% 0.18/0.50 % (28131)Termination phase: Property scanning
% 0.18/0.50
% 0.18/0.50 % (28131)Memory used [KB]: 1279
% 0.18/0.50 % (28135)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)
% 0.18/0.50 % (28131)Time elapsed: 0.004 s
% 0.18/0.50 % (28131)Instructions burned: 2 (million)
% 0.18/0.50 % (28131)------------------------------
% 0.18/0.50 % (28131)------------------------------
% 0.18/0.51 % (28124)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)
% 0.18/0.51 % (28122)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)
% 0.18/0.51 % (28135)Instruction limit reached!
% 0.18/0.51 % (28135)------------------------------
% 0.18/0.51 % (28135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (28127)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)
% 0.18/0.51 % (28127)Instruction limit reached!
% 0.18/0.51 % (28127)------------------------------
% 0.18/0.51 % (28127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (28135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (28135)Termination reason: Unknown
% 0.18/0.51 % (28135)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (28135)Memory used [KB]: 1407
% 0.18/0.51 % (28135)Time elapsed: 0.004 s
% 0.18/0.51 % (28135)Instructions burned: 6 (million)
% 0.18/0.51 % (28135)------------------------------
% 0.18/0.51 % (28135)------------------------------
% 0.18/0.51 % (28127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (28127)Termination reason: Unknown
% 0.18/0.51 % (28127)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (28127)Memory used [KB]: 6012
% 0.18/0.51 % (28127)Time elapsed: 0.126 s
% 0.18/0.51 % (28127)Instructions burned: 5 (million)
% 0.18/0.51 % (28127)------------------------------
% 0.18/0.51 % (28127)------------------------------
% 0.18/0.51 % (28118)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)
% 0.18/0.52 % (28120)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (28138)Refutation not found, incomplete strategy% (28138)------------------------------
% 0.18/0.52 % (28138)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (28138)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (28138)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (28138)Memory used [KB]: 5884
% 0.18/0.52 % (28138)Time elapsed: 0.079 s
% 0.18/0.52 % (28138)Instructions burned: 5 (million)
% 0.18/0.52 % (28138)------------------------------
% 0.18/0.52 % (28138)------------------------------
% 0.18/0.52 % (28117)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)
% 0.18/0.52 % (28137)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)
% 0.18/0.52 % (28133)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)
% 0.18/0.52 % (28117)Instruction limit reached!
% 0.18/0.52 % (28117)------------------------------
% 0.18/0.52 % (28117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (28117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (28117)Termination reason: Unknown
% 0.18/0.52 % (28117)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (28117)Memory used [KB]: 5884
% 0.18/0.52 % (28117)Time elapsed: 0.004 s
% 0.18/0.52 % (28117)Instructions burned: 5 (million)
% 0.18/0.52 % (28117)------------------------------
% 0.18/0.52 % (28117)------------------------------
% 0.18/0.52 % (28136)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)
% 0.18/0.52 % (28116)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)
% 0.18/0.52 % (28119)Instruction limit reached!
% 0.18/0.52 % (28119)------------------------------
% 0.18/0.52 % (28119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (28119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (28119)Termination reason: Unknown
% 0.18/0.52 % (28119)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (28119)Memory used [KB]: 6524
% 0.18/0.52 % (28119)Time elapsed: 0.117 s
% 0.18/0.52 % (28119)Instructions burned: 34 (million)
% 0.18/0.52 % (28119)------------------------------
% 0.18/0.52 % (28119)------------------------------
% 0.18/0.53 % (28130)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)
% 0.18/0.53 % (28134)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)
% 0.18/0.53 % (28126)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)
% 0.18/0.53 % (28139)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)
% 0.18/0.53 % (28144)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)
% 0.18/0.53 % (28128)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)
% 0.18/0.53 % (28132)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (28142)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)
% 0.18/0.53 % (28130)Instruction limit reached!
% 0.18/0.53 % (28130)------------------------------
% 0.18/0.53 % (28130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (28129)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)
% 0.18/0.53 % (28142)Refutation not found, incomplete strategy% (28142)------------------------------
% 0.18/0.53 % (28142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (28142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (28142)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53
% 0.18/0.53 % (28142)Memory used [KB]: 6012
% 0.18/0.53 % (28142)Time elapsed: 0.139 s
% 0.18/0.53 % (28142)Instructions burned: 5 (million)
% 0.18/0.53 % (28142)------------------------------
% 0.18/0.53 % (28142)------------------------------
% 0.18/0.53 % (28125)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)
% 0.18/0.54 % (28145)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)
% 0.18/0.54 % (28143)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)
% 0.18/0.54 % (28132)Instruction limit reached!
% 0.18/0.54 % (28132)------------------------------
% 0.18/0.54 % (28132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (28132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (28132)Termination reason: Unknown
% 0.18/0.54 % (28132)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (28132)Memory used [KB]: 6012
% 0.18/0.54 % (28132)Time elapsed: 0.130 s
% 0.18/0.54 % (28132)Instructions burned: 8 (million)
% 0.18/0.54 % (28132)------------------------------
% 0.18/0.54 % (28132)------------------------------
% 0.18/0.54 % (28130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (28130)Termination reason: Unknown
% 0.18/0.54 % (28130)Termination phase: Finite model building preprocessing
% 0.18/0.54
% 0.18/0.54 % (28130)Memory used [KB]: 1407
% 0.18/0.54 % (28130)Time elapsed: 0.005 s
% 0.18/0.54 % (28130)Instructions burned: 6 (million)
% 0.18/0.54 % (28130)------------------------------
% 0.18/0.54 % (28130)------------------------------
% 0.18/0.54 % (28140)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)
% 0.18/0.54 % (28125)Instruction limit reached!
% 0.18/0.54 % (28125)------------------------------
% 0.18/0.54 % (28125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (28125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (28125)Termination reason: Unknown
% 0.18/0.54 % (28125)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (28125)Memory used [KB]: 5884
% 0.18/0.54 % (28125)Time elapsed: 0.149 s
% 0.18/0.54 % (28125)Instructions burned: 6 (million)
% 0.18/0.54 % (28125)------------------------------
% 0.18/0.54 % (28125)------------------------------
% 0.18/0.54 % (28134)Instruction limit reached!
% 0.18/0.54 % (28134)------------------------------
% 0.18/0.54 % (28134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (28128)Instruction limit reached!
% 0.18/0.54 % (28128)------------------------------
% 0.18/0.54 % (28128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (28128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (28128)Termination reason: Unknown
% 0.18/0.54 % (28128)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (28128)Memory used [KB]: 5884
% 0.18/0.54 % (28128)Time elapsed: 0.004 s
% 0.18/0.54 % (28128)Instructions burned: 3 (million)
% 0.18/0.54 % (28128)------------------------------
% 0.18/0.54 % (28128)------------------------------
% 0.18/0.54 % (28115)First to succeed.
% 0.18/0.55 % (28134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (28134)Termination reason: Unknown
% 0.18/0.55 % (28134)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (28134)Memory used [KB]: 6012
% 0.18/0.55 % (28134)Time elapsed: 0.149 s
% 0.18/0.55 % (28134)Instructions burned: 7 (million)
% 0.18/0.55 % (28134)------------------------------
% 0.18/0.55 % (28134)------------------------------
% 0.18/0.55 % (28115)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56 % (28115)------------------------------
% 0.18/0.56 % (28115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (28115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (28115)Termination reason: Refutation
% 0.18/0.56
% 0.18/0.56 % (28115)Memory used [KB]: 6396
% 0.18/0.56 % (28115)Time elapsed: 0.125 s
% 0.18/0.56 % (28115)Instructions burned: 33 (million)
% 0.18/0.56 % (28115)------------------------------
% 0.18/0.56 % (28115)------------------------------
% 0.18/0.56 % (28110)Success in time 0.207 s
%------------------------------------------------------------------------------