TSTP Solution File: GRP325-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP325-1 : 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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:22 EDT 2022
% Result : Unsatisfiable 0.19s 0.57s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 71
% Syntax : Number of formulae : 387 ( 34 unt; 0 def)
% Number of atoms : 1227 ( 449 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1601 ( 761 ~; 814 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2399,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f153,f158,f164,f165,f170,f172,f182,f183,f184,f185,f186,f193,f195,f197,f198,f199,f201,f203,f206,f207,f209,f210,f228,f230,f231,f232,f258,f303,f312,f443,f464,f469,f478,f498,f607,f641,f665,f861,f937,f940,f943,f1012,f1090,f1192,f1318,f1327,f1414,f1542,f1831,f1922,f1949,f2239,f2246,f2252,f2277,f2319,f2344,f2375]) ).
fof(f2375,plain,
( spl15_8
| ~ spl15_24
| ~ spl15_28
| ~ spl15_29
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f2374]) ).
fof(f2374,plain,
( $false
| spl15_8
| ~ spl15_24
| ~ spl15_28
| ~ spl15_29
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f2373,f2350]) ).
fof(f2350,plain,
( identity = sk_c8
| ~ spl15_24
| ~ spl15_28 ),
inference(backward_demodulation,[],[f297,f279]) ).
fof(f279,plain,
( identity = sk_c9
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl15_24
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f297,plain,
( sk_c9 = sk_c8
| ~ spl15_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl15_28
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f2373,plain,
( identity != sk_c8
| spl15_8
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f149,f2369]) ).
fof(f2369,plain,
( identity = sF0
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f2368,f2351]) ).
fof(f2351,plain,
( identity = inverse(identity)
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(backward_demodulation,[],[f2294,f279]) ).
fof(f2294,plain,
( identity = inverse(sk_c9)
| ~ spl15_29
| ~ spl15_32 ),
inference(backward_demodulation,[],[f301,f320]) ).
fof(f320,plain,
( identity = sk_c10
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl15_32
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f301,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f300,plain,
( spl15_29
<=> sk_c10 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f2368,plain,
( inverse(identity) = sF0
| ~ spl15_24 ),
inference(forward_demodulation,[],[f53,f279]) ).
fof(f53,plain,
inverse(sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f149,plain,
( sk_c8 != sF0
| spl15_8 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl15_8
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f2344,plain,
( spl15_24
| ~ spl15_3
| ~ spl15_5
| ~ spl15_10
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f2343,f319,f160,f134,f125,f278]) ).
fof(f125,plain,
( spl15_3
<=> sk_c10 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f134,plain,
( spl15_5
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f160,plain,
( spl15_10
<=> sk_c3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f2343,plain,
( identity = sk_c9
| ~ spl15_3
| ~ spl15_5
| ~ spl15_10
| ~ spl15_32 ),
inference(forward_demodulation,[],[f2250,f320]) ).
fof(f2250,plain,
( sk_c9 = sk_c10
| ~ spl15_3
| ~ spl15_5
| ~ spl15_10 ),
inference(forward_demodulation,[],[f2249,f1150]) ).
fof(f1150,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl15_5 ),
inference(forward_demodulation,[],[f64,f136]) ).
fof(f136,plain,
( sk_c9 = sF7
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f64,plain,
multiply(sk_c10,sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f2249,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl15_3
| ~ spl15_10 ),
inference(forward_demodulation,[],[f2248,f127]) ).
fof(f127,plain,
( sk_c10 = sF12
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f2248,plain,
( sk_c10 = multiply(sF12,sk_c3)
| ~ spl15_10 ),
inference(forward_demodulation,[],[f399,f162]) ).
fof(f162,plain,
( sk_c3 = sF2
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f399,plain,
sk_c10 = multiply(sF12,sF2),
inference(forward_demodulation,[],[f382,f74]) ).
fof(f74,plain,
inverse(sk_c2) = sF12,
introduced(function_definition,[]) ).
fof(f382,plain,
sk_c10 = multiply(inverse(sk_c2),sF2),
inference(superposition,[],[f351,f56]) ).
fof(f56,plain,
multiply(sk_c2,sk_c10) = sF2,
introduced(function_definition,[]) ).
fof(f351,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f331,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f331,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/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(f2319,plain,
( spl15_24
| ~ spl15_26
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f2318,f319,f287,f278]) ).
fof(f287,plain,
( spl15_26
<=> sk_c9 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f2318,plain,
( identity = sk_c9
| ~ spl15_26
| ~ spl15_32 ),
inference(forward_demodulation,[],[f288,f320]) ).
fof(f288,plain,
( sk_c9 = sk_c10
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f2277,plain,
( ~ spl15_4
| ~ spl15_8
| spl15_26
| ~ spl15_29 ),
inference(avatar_contradiction_clause,[],[f2276]) ).
fof(f2276,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| spl15_26
| ~ spl15_29 ),
inference(subsumption_resolution,[],[f2275,f289]) ).
fof(f289,plain,
( sk_c9 != sk_c10
| spl15_26 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f2275,plain,
( sk_c9 = sk_c10
| ~ spl15_4
| ~ spl15_8
| ~ spl15_29 ),
inference(backward_demodulation,[],[f2260,f2262]) ).
fof(f2262,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_29 ),
inference(backward_demodulation,[],[f2243,f2254]) ).
fof(f2254,plain,
( sk_c10 = sk_c8
| ~ spl15_8
| ~ spl15_29 ),
inference(backward_demodulation,[],[f238,f301]) ).
fof(f238,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl15_8 ),
inference(backward_demodulation,[],[f53,f150]) ).
fof(f150,plain,
( sk_c8 = sF0
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f2243,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f77,f131]) ).
fof(f131,plain,
( sk_c9 = sF14
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl15_4
<=> sk_c9 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f77,plain,
multiply(sk_c10,sk_c8) = sF14,
introduced(function_definition,[]) ).
fof(f2260,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl15_8
| ~ spl15_29 ),
inference(backward_demodulation,[],[f398,f2254]) ).
fof(f398,plain,
( sk_c10 = multiply(sk_c8,sk_c8)
| ~ spl15_8 ),
inference(forward_demodulation,[],[f370,f238]) ).
fof(f370,plain,
sk_c10 = multiply(inverse(sk_c9),sk_c8),
inference(superposition,[],[f351,f208]) ).
fof(f208,plain,
multiply(sk_c9,sk_c10) = sk_c8,
inference(forward_demodulation,[],[f66,f67]) ).
fof(f67,plain,
sk_c8 = sF8,
inference(definition_folding,[],[f4,f66]) ).
fof(f4,axiom,
multiply(sk_c9,sk_c10) = sk_c8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f66,plain,
multiply(sk_c9,sk_c10) = sF8,
introduced(function_definition,[]) ).
fof(f2252,plain,
( ~ spl15_3
| ~ spl15_5
| ~ spl15_10
| spl15_26 ),
inference(avatar_contradiction_clause,[],[f2251]) ).
fof(f2251,plain,
( $false
| ~ spl15_3
| ~ spl15_5
| ~ spl15_10
| spl15_26 ),
inference(subsumption_resolution,[],[f2250,f289]) ).
fof(f2246,plain,
( ~ spl15_1
| ~ spl15_13
| spl15_28 ),
inference(avatar_contradiction_clause,[],[f2245]) ).
fof(f2245,plain,
( $false
| ~ spl15_1
| ~ spl15_13
| spl15_28 ),
inference(subsumption_resolution,[],[f2244,f298]) ).
fof(f298,plain,
( sk_c9 != sk_c8
| spl15_28 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f2244,plain,
( sk_c9 = sk_c8
| ~ spl15_1
| ~ spl15_13 ),
inference(forward_demodulation,[],[f208,f2057]) ).
fof(f2057,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl15_1
| ~ spl15_13 ),
inference(backward_demodulation,[],[f2055,f118]) ).
fof(f118,plain,
( sk_c10 = sF4
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl15_1
<=> sk_c10 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f2055,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl15_13 ),
inference(forward_demodulation,[],[f408,f181]) ).
fof(f181,plain,
( sk_c9 = sF1
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl15_13
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f408,plain,
sk_c9 = multiply(sF1,sF4),
inference(forward_demodulation,[],[f377,f54]) ).
fof(f54,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f377,plain,
sk_c9 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f351,f60]) ).
fof(f60,plain,
multiply(sk_c1,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f2239,plain,
( ~ spl15_8
| ~ spl15_28
| spl15_32 ),
inference(avatar_contradiction_clause,[],[f2238]) ).
fof(f2238,plain,
( $false
| ~ spl15_8
| ~ spl15_28
| spl15_32 ),
inference(subsumption_resolution,[],[f2237,f321]) ).
fof(f321,plain,
( identity != sk_c10
| spl15_32 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f2237,plain,
( identity = sk_c10
| ~ spl15_8
| ~ spl15_28 ),
inference(forward_demodulation,[],[f2147,f2019]) ).
fof(f2019,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl15_8
| ~ spl15_28 ),
inference(backward_demodulation,[],[f243,f297]) ).
fof(f243,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl15_8 ),
inference(superposition,[],[f2,f238]) ).
fof(f2147,plain,
( sk_c10 = multiply(sk_c9,sk_c9)
| ~ spl15_8
| ~ spl15_28 ),
inference(backward_demodulation,[],[f398,f297]) ).
fof(f1949,plain,
( spl15_4
| ~ spl15_28
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f1948,f319,f296,f129]) ).
fof(f1948,plain,
( sk_c9 = sF14
| ~ spl15_28
| ~ spl15_32 ),
inference(forward_demodulation,[],[f1947,f1]) ).
fof(f1947,plain,
( sF14 = multiply(identity,sk_c9)
| ~ spl15_28
| ~ spl15_32 ),
inference(forward_demodulation,[],[f1946,f320]) ).
fof(f1946,plain,
( sF14 = multiply(sk_c10,sk_c9)
| ~ spl15_28 ),
inference(forward_demodulation,[],[f77,f297]) ).
fof(f1922,plain,
( ~ spl15_24
| spl15_26
| ~ spl15_32 ),
inference(avatar_split_clause,[],[f1873,f319,f287,f278]) ).
fof(f1873,plain,
( identity != sk_c9
| spl15_26
| ~ spl15_32 ),
inference(forward_demodulation,[],[f289,f320]) ).
fof(f1831,plain,
( ~ spl15_13
| ~ spl15_24
| spl15_30
| ~ spl15_37 ),
inference(avatar_contradiction_clause,[],[f1830]) ).
fof(f1830,plain,
( $false
| ~ spl15_13
| ~ spl15_24
| spl15_30
| ~ spl15_37 ),
inference(subsumption_resolution,[],[f1829,f279]) ).
fof(f1829,plain,
( identity != sk_c9
| ~ spl15_13
| ~ spl15_24
| spl15_30
| ~ spl15_37 ),
inference(forward_demodulation,[],[f311,f1782]) ).
fof(f1782,plain,
( identity = inverse(identity)
| ~ spl15_13
| ~ spl15_24
| ~ spl15_37 ),
inference(backward_demodulation,[],[f1749,f279]) ).
fof(f1749,plain,
( identity = inverse(sk_c9)
| ~ spl15_13
| ~ spl15_37 ),
inference(forward_demodulation,[],[f616,f181]) ).
fof(f616,plain,
( identity = inverse(sF1)
| ~ spl15_37 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl15_37
<=> identity = inverse(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f311,plain,
( sk_c9 != inverse(identity)
| spl15_30 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl15_30
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f1542,plain,
( ~ spl15_5
| spl15_24
| ~ spl15_26
| ~ spl15_28 ),
inference(avatar_contradiction_clause,[],[f1541]) ).
fof(f1541,plain,
( $false
| ~ spl15_5
| spl15_24
| ~ spl15_26
| ~ spl15_28 ),
inference(subsumption_resolution,[],[f1540,f280]) ).
fof(f280,plain,
( identity != sk_c9
| spl15_24 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f1540,plain,
( identity = sk_c9
| ~ spl15_5
| ~ spl15_26
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1539,f1514]) ).
fof(f1514,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl15_26
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1513,f288]) ).
fof(f1513,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl15_28 ),
inference(forward_demodulation,[],[f1512,f351]) ).
fof(f1512,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c9,X0))
| ~ spl15_28 ),
inference(forward_demodulation,[],[f422,f297]) ).
fof(f422,plain,
! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c8,X0)),
inference(superposition,[],[f351,f332]) ).
fof(f332,plain,
! [X8] : multiply(sk_c8,X8) = multiply(sk_c9,multiply(sk_c10,X8)),
inference(superposition,[],[f3,f208]) ).
fof(f1539,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl15_5
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1322,f1402]) ).
fof(f1402,plain,
( identity = sk_c3
| ~ spl15_5
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1401,f2]) ).
fof(f1401,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c9)
| ~ spl15_5
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1115,f288]) ).
fof(f1115,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c9)
| ~ spl15_5 ),
inference(backward_demodulation,[],[f375,f136]) ).
fof(f375,plain,
sk_c3 = multiply(inverse(sk_c10),sF7),
inference(superposition,[],[f351,f64]) ).
fof(f1322,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl15_5
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1150,f288]) ).
fof(f1414,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_26
| spl15_32 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_26
| spl15_32 ),
inference(subsumption_resolution,[],[f1412,f321]) ).
fof(f1412,plain,
( identity = sk_c10
| ~ spl15_4
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1411,f1]) ).
fof(f1411,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_26 ),
inference(forward_demodulation,[],[f398,f1307]) ).
fof(f1307,plain,
( identity = sk_c8
| ~ spl15_4
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1306,f2]) ).
fof(f1306,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl15_4
| ~ spl15_26 ),
inference(forward_demodulation,[],[f372,f288]) ).
fof(f372,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl15_4 ),
inference(superposition,[],[f351,f239]) ).
fof(f239,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f77,f131]) ).
fof(f1327,plain,
( ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| spl15_24
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1326]) ).
fof(f1326,plain,
( $false
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| spl15_24
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1325,f280]) ).
fof(f1325,plain,
( identity = sk_c9
| ~ spl15_1
| ~ spl15_4
| ~ spl15_13
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1216,f1312]) ).
fof(f1312,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl15_4
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1311,f288]) ).
fof(f1311,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl15_4
| ~ spl15_26 ),
inference(forward_demodulation,[],[f208,f1307]) ).
fof(f1216,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1215,f181]) ).
fof(f1215,plain,
( sk_c9 = multiply(sF1,sk_c9)
| ~ spl15_1
| ~ spl15_26 ),
inference(forward_demodulation,[],[f408,f1175]) ).
fof(f1175,plain,
( sk_c9 = sF4
| ~ spl15_1
| ~ spl15_26 ),
inference(backward_demodulation,[],[f118,f288]) ).
fof(f1318,plain,
( ~ spl15_2
| ~ spl15_4
| ~ spl15_14
| spl15_24
| ~ spl15_26 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1317,plain,
( $false
| ~ spl15_2
| ~ spl15_4
| ~ spl15_14
| spl15_24
| ~ spl15_26 ),
inference(subsumption_resolution,[],[f1316,f280]) ).
fof(f1316,plain,
( identity = sk_c9
| ~ spl15_2
| ~ spl15_4
| ~ spl15_14
| ~ spl15_26 ),
inference(forward_demodulation,[],[f1271,f1312]) ).
fof(f1271,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl15_2
| ~ spl15_14
| ~ spl15_26 ),
inference(forward_demodulation,[],[f402,f288]) ).
fof(f402,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl15_2
| ~ spl15_14 ),
inference(forward_demodulation,[],[f378,f242]) ).
fof(f242,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f75,f190]) ).
fof(f190,plain,
( sk_c10 = sF13
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl15_14
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f75,plain,
inverse(sk_c4) = sF13,
introduced(function_definition,[]) ).
fof(f378,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl15_2 ),
inference(superposition,[],[f351,f240]) ).
fof(f240,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f63,f122]) ).
fof(f122,plain,
( sk_c9 = sF6
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl15_2
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f63,plain,
multiply(sk_c4,sk_c10) = sF6,
introduced(function_definition,[]) ).
fof(f1192,plain,
( ~ spl15_26
| spl15_28
| ~ spl15_30 ),
inference(avatar_contradiction_clause,[],[f1191]) ).
fof(f1191,plain,
( $false
| ~ spl15_26
| spl15_28
| ~ spl15_30 ),
inference(subsumption_resolution,[],[f1179,f298]) ).
fof(f1179,plain,
( sk_c9 = sk_c8
| ~ spl15_26
| ~ spl15_30 ),
inference(backward_demodulation,[],[f1057,f288]) ).
fof(f1057,plain,
( sk_c10 = sk_c8
| ~ spl15_30 ),
inference(forward_demodulation,[],[f208,f543]) ).
fof(f543,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl15_30 ),
inference(backward_demodulation,[],[f366,f310]) ).
fof(f310,plain,
( sk_c9 = inverse(identity)
| ~ spl15_30 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f366,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f351,f1]) ).
fof(f1090,plain,
( ~ spl15_12
| ~ spl15_14
| ~ spl15_21
| spl15_29 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| ~ spl15_12
| ~ spl15_14
| ~ spl15_21
| spl15_29 ),
inference(subsumption_resolution,[],[f1079,f302]) ).
fof(f302,plain,
( sk_c10 != inverse(sk_c9)
| spl15_29 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f1079,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl15_12
| ~ spl15_14
| ~ spl15_21 ),
inference(backward_demodulation,[],[f242,f1078]) ).
fof(f1078,plain,
( sk_c9 = sk_c4
| ~ spl15_12
| ~ spl15_14
| ~ spl15_21 ),
inference(backward_demodulation,[],[f386,f265]) ).
fof(f265,plain,
( sk_c9 = sk_c6
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl15_21
<=> sk_c9 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f386,plain,
( sk_c4 = sk_c6
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f374,f373]) ).
fof(f373,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl15_14 ),
inference(superposition,[],[f351,f245]) ).
fof(f245,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_14 ),
inference(superposition,[],[f2,f242]) ).
fof(f374,plain,
( sk_c6 = multiply(inverse(sk_c10),identity)
| ~ spl15_12 ),
inference(superposition,[],[f351,f248]) ).
fof(f248,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl15_12 ),
inference(superposition,[],[f2,f237]) ).
fof(f237,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f58,f176]) ).
fof(f176,plain,
( sk_c10 = sF3
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl15_12
<=> sk_c10 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f58,plain,
inverse(sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f1012,plain,
( spl15_32
| ~ spl15_1
| ~ spl15_13
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f1011,f278,f179,f116,f319]) ).
fof(f1011,plain,
( identity = sk_c10
| ~ spl15_1
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1010,f1]) ).
fof(f1010,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_1
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f1009,f734]) ).
fof(f734,plain,
( identity = sk_c1
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f730,f2]) ).
fof(f730,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f383,f728]) ).
fof(f728,plain,
( identity = sF1
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f181,f279]) ).
fof(f383,plain,
sk_c1 = multiply(inverse(sF1),identity),
inference(superposition,[],[f351,f244]) ).
fof(f244,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f54]) ).
fof(f1009,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl15_1
| ~ spl15_24 ),
inference(forward_demodulation,[],[f548,f118]) ).
fof(f548,plain,
( multiply(sk_c1,identity) = sF4
| ~ spl15_24 ),
inference(backward_demodulation,[],[f60,f279]) ).
fof(f943,plain,
( ~ spl15_13
| ~ spl15_24
| spl15_37 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl15_13
| ~ spl15_24
| spl15_37 ),
inference(subsumption_resolution,[],[f753,f739]) ).
fof(f739,plain,
( identity = inverse(identity)
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f733,f734]) ).
fof(f733,plain,
( identity = inverse(sk_c1)
| ~ spl15_13
| ~ spl15_24 ),
inference(backward_demodulation,[],[f54,f728]) ).
fof(f753,plain,
( identity != inverse(identity)
| ~ spl15_13
| ~ spl15_24
| spl15_37 ),
inference(forward_demodulation,[],[f617,f728]) ).
fof(f617,plain,
( identity != inverse(sF1)
| spl15_37 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f940,plain,
( spl15_32
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f939,f278,f179,f148,f319]) ).
fof(f939,plain,
( identity = sk_c10
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f938,f1]) ).
fof(f938,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f398,f929]) ).
fof(f929,plain,
( identity = sk_c8
| ~ spl15_8
| ~ spl15_13
| ~ spl15_24 ),
inference(forward_demodulation,[],[f693,f739]) ).
fof(f693,plain,
( sk_c8 = inverse(identity)
| ~ spl15_8
| ~ spl15_24 ),
inference(forward_demodulation,[],[f238,f279]) ).
fof(f937,plain,
( ~ spl15_32
| ~ spl15_13
| ~ spl15_24
| spl15_29 ),
inference(avatar_split_clause,[],[f936,f300,f278,f179,f319]) ).
fof(f936,plain,
( identity != sk_c10
| ~ spl15_13
| ~ spl15_24
| spl15_29 ),
inference(forward_demodulation,[],[f707,f739]) ).
fof(f707,plain,
( sk_c10 != inverse(identity)
| ~ spl15_24
| spl15_29 ),
inference(forward_demodulation,[],[f302,f279]) ).
fof(f861,plain,
( ~ spl15_24
| spl15_28
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f860,plain,
( $false
| ~ spl15_24
| spl15_28
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f859,f279]) ).
fof(f859,plain,
( identity != sk_c9
| ~ spl15_24
| spl15_28
| ~ spl15_32 ),
inference(forward_demodulation,[],[f298,f829]) ).
fof(f829,plain,
( identity = sk_c8
| ~ spl15_24
| ~ spl15_32 ),
inference(forward_demodulation,[],[f828,f1]) ).
fof(f828,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl15_24
| ~ spl15_32 ),
inference(forward_demodulation,[],[f827,f279]) ).
fof(f827,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl15_32 ),
inference(forward_demodulation,[],[f208,f320]) ).
fof(f665,plain,
( ~ spl15_18
| ~ spl15_24
| ~ spl15_28
| ~ spl15_29
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f664,plain,
( $false
| ~ spl15_18
| ~ spl15_24
| ~ spl15_28
| ~ spl15_29
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f650,f571]) ).
fof(f571,plain,
( identity = inverse(identity)
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(backward_demodulation,[],[f544,f279]) ).
fof(f544,plain,
( identity = inverse(sk_c9)
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f301,f320]) ).
fof(f650,plain,
( identity != inverse(identity)
| ~ spl15_18
| ~ spl15_24
| ~ spl15_28 ),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f645,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl15_18
| ~ spl15_24
| ~ spl15_28 ),
inference(superposition,[],[f644,f1]) ).
fof(f644,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl15_18
| ~ spl15_24
| ~ spl15_28 ),
inference(forward_demodulation,[],[f643,f279]) ).
fof(f643,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl15_18
| ~ spl15_24
| ~ spl15_28 ),
inference(forward_demodulation,[],[f642,f573]) ).
fof(f573,plain,
( identity = sk_c8
| ~ spl15_24
| ~ spl15_28 ),
inference(forward_demodulation,[],[f297,f279]) ).
fof(f642,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| identity != inverse(X7) )
| ~ spl15_18
| ~ spl15_24 ),
inference(forward_demodulation,[],[f224,f279]) ).
fof(f224,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f223,plain,
( spl15_18
<=> ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f641,plain,
( ~ spl15_19
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f640,plain,
( $false
| ~ spl15_19
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f639,f571]) ).
fof(f639,plain,
( identity != inverse(identity)
| ~ spl15_19
| ~ spl15_24
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f638,f571]) ).
fof(f638,plain,
( identity != inverse(inverse(identity))
| ~ spl15_19
| ~ spl15_24
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f624,f1]) ).
fof(f624,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl15_19
| ~ spl15_24
| ~ spl15_32 ),
inference(superposition,[],[f621,f2]) ).
fof(f621,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| identity != inverse(X5) )
| ~ spl15_19
| ~ spl15_24
| ~ spl15_32 ),
inference(forward_demodulation,[],[f620,f320]) ).
fof(f620,plain,
( ! [X5] :
( identity != multiply(identity,multiply(X5,identity))
| sk_c10 != inverse(X5) )
| ~ spl15_19
| ~ spl15_24
| ~ spl15_32 ),
inference(forward_demodulation,[],[f619,f279]) ).
fof(f619,plain,
( ! [X5] :
( sk_c9 != multiply(identity,multiply(X5,identity))
| sk_c10 != inverse(X5) )
| ~ spl15_19
| ~ spl15_32 ),
inference(forward_demodulation,[],[f227,f320]) ).
fof(f227,plain,
( ! [X5] :
( sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X5) )
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl15_19
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f607,plain,
( ~ spl15_17
| ~ spl15_24
| ~ spl15_26
| ~ spl15_29
| ~ spl15_32 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26
| ~ spl15_29
| ~ spl15_32 ),
inference(subsumption_resolution,[],[f605,f571]) ).
fof(f605,plain,
( identity != inverse(identity)
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f604,f571]) ).
fof(f604,plain,
( identity != inverse(inverse(identity))
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26
| ~ spl15_29
| ~ spl15_32 ),
inference(duplicate_literal_removal,[],[f603]) ).
fof(f603,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(identity))
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26
| ~ spl15_29
| ~ spl15_32 ),
inference(forward_demodulation,[],[f585,f571]) ).
fof(f585,plain,
( identity != inverse(inverse(inverse(identity)))
| identity != inverse(inverse(identity))
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26 ),
inference(superposition,[],[f572,f2]) ).
fof(f572,plain,
( ! [X8] :
( inverse(X8) != multiply(X8,identity)
| identity != inverse(inverse(X8)) )
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26 ),
inference(forward_demodulation,[],[f570,f279]) ).
fof(f570,plain,
( ! [X8] :
( sk_c9 != inverse(inverse(X8))
| inverse(X8) != multiply(X8,identity) )
| ~ spl15_17
| ~ spl15_24
| ~ spl15_26 ),
inference(backward_demodulation,[],[f536,f279]) ).
fof(f536,plain,
( ! [X8] :
( sk_c9 != inverse(inverse(X8))
| inverse(X8) != multiply(X8,sk_c9) )
| ~ spl15_17
| ~ spl15_26 ),
inference(forward_demodulation,[],[f535,f288]) ).
fof(f535,plain,
( ! [X8] :
( inverse(X8) != multiply(X8,sk_c10)
| sk_c9 != inverse(inverse(X8)) )
| ~ spl15_17
| ~ spl15_26 ),
inference(forward_demodulation,[],[f221,f288]) ).
fof(f221,plain,
( ! [X8] :
( sk_c10 != inverse(inverse(X8))
| inverse(X8) != multiply(X8,sk_c10) )
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f220,plain,
( spl15_17
<=> ! [X8] :
( sk_c10 != inverse(inverse(X8))
| inverse(X8) != multiply(X8,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f498,plain,
( spl15_30
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f492,f188,f174,f167,f155,f148,f143,f129,f120,f309]) ).
fof(f143,plain,
( spl15_7
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f155,plain,
( spl15_9
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f167,plain,
( spl15_11
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f492,plain,
( sk_c9 = inverse(identity)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f241,f488]) ).
fof(f488,plain,
( identity = sk_c5
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f442,f485]) ).
fof(f485,plain,
( ! [X14] : multiply(sk_c10,X14) = X14
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f437,f480]) ).
fof(f480,plain,
( ! [X10] : multiply(sk_c9,X10) = X10
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f479,f437]) ).
fof(f479,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c9,X10)) = multiply(sk_c9,X10)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f435,f472]) ).
fof(f472,plain,
( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c9,X8)
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f434,f456]) ).
fof(f456,plain,
( ! [X16] : multiply(sk_c9,X16) = multiply(sk_c9,multiply(sk_c10,X16))
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f340,f452]) ).
fof(f452,plain,
( sk_c9 = sk_c4
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f448,f241]) ).
fof(f448,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f389,f444]) ).
fof(f444,plain,
( sk_c5 = sk_c7
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f404,f442]) ).
fof(f404,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f403,f242]) ).
fof(f403,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_demodulation,[],[f381,f386]) ).
fof(f381,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl15_7 ),
inference(superposition,[],[f351,f247]) ).
fof(f247,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl15_7 ),
inference(superposition,[],[f2,f234]) ).
fof(f234,plain,
( inverse(sk_c7) = sk_c6
| ~ spl15_7 ),
inference(backward_demodulation,[],[f61,f145]) ).
fof(f145,plain,
( sk_c6 = sF5
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f61,plain,
inverse(sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f389,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl15_7
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f234,f386]) ).
fof(f340,plain,
( ! [X16] : multiply(sk_c9,X16) = multiply(sk_c4,multiply(sk_c10,X16))
| ~ spl15_2 ),
inference(superposition,[],[f3,f240]) ).
fof(f434,plain,
( ! [X8] : multiply(sk_c9,multiply(sk_c10,X8)) = multiply(sk_c10,X8)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f332,f425]) ).
fof(f425,plain,
( sk_c10 = sk_c8
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(forward_demodulation,[],[f424,f398]) ).
fof(f424,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl15_4
| ~ spl15_9
| ~ spl15_11 ),
inference(forward_demodulation,[],[f419,f397]) ).
fof(f397,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl15_9
| ~ spl15_11 ),
inference(forward_demodulation,[],[f379,f241]) ).
fof(f379,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl15_9 ),
inference(superposition,[],[f351,f235]) ).
fof(f235,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl15_9 ),
inference(backward_demodulation,[],[f68,f157]) ).
fof(f157,plain,
( sk_c9 = sF9
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f68,plain,
multiply(sk_c5,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f419,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl15_4 ),
inference(superposition,[],[f332,f239]) ).
fof(f435,plain,
( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c10,multiply(sk_c10,X10))
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f334,f425]) ).
fof(f334,plain,
( ! [X10] : multiply(sk_c9,X10) = multiply(sk_c10,multiply(sk_c8,X10))
| ~ spl15_4 ),
inference(superposition,[],[f3,f239]) ).
fof(f437,plain,
( ! [X14] : multiply(sk_c10,multiply(sk_c9,X14)) = X14
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f354,f425]) ).
fof(f354,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c9,X14)) = X14
| ~ spl15_8 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c9,X14)) = multiply(identity,X14)
| ~ spl15_8 ),
inference(superposition,[],[f3,f243]) ).
fof(f442,plain,
( sk_c5 = multiply(sk_c10,identity)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f407,f425]) ).
fof(f407,plain,
( sk_c5 = multiply(sk_c8,identity)
| ~ spl15_8
| ~ spl15_11 ),
inference(forward_demodulation,[],[f371,f238]) ).
fof(f371,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl15_11 ),
inference(superposition,[],[f351,f246]) ).
fof(f246,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl15_11 ),
inference(superposition,[],[f2,f241]) ).
fof(f241,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f72,f169]) ).
fof(f169,plain,
( sk_c9 = sF11
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f72,plain,
inverse(sk_c5) = sF11,
introduced(function_definition,[]) ).
fof(f478,plain,
( ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| spl15_26 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| spl15_26 ),
inference(subsumption_resolution,[],[f476,f289]) ).
fof(f476,plain,
( sk_c9 = sk_c10
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(forward_demodulation,[],[f441,f431]) ).
fof(f431,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f239,f425]) ).
fof(f441,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f398,f425]) ).
fof(f469,plain,
( spl15_32
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f468,f188,f174,f167,f155,f148,f143,f129,f120,f319]) ).
fof(f468,plain,
( identity = sk_c10
| ~ spl15_2
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f402,f455]) ).
fof(f455,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f245,f452]) ).
fof(f464,plain,
( spl15_21
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(avatar_split_clause,[],[f458,f188,f174,f167,f155,f148,f143,f129,f264]) ).
fof(f458,plain,
( sk_c9 = sk_c6
| ~ spl15_4
| ~ spl15_7
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11
| ~ spl15_12
| ~ spl15_14 ),
inference(backward_demodulation,[],[f386,f452]) ).
fof(f443,plain,
( spl15_29
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f430,f167,f155,f148,f129,f300]) ).
fof(f430,plain,
( sk_c10 = inverse(sk_c9)
| ~ spl15_4
| ~ spl15_8
| ~ spl15_9
| ~ spl15_11 ),
inference(backward_demodulation,[],[f238,f425]) ).
fof(f312,plain,
( ~ spl15_26
| ~ spl15_30
| ~ spl15_16 ),
inference(avatar_split_clause,[],[f304,f217,f309,f287]) ).
fof(f217,plain,
( spl15_16
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f304,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c10
| ~ spl15_16 ),
inference(superposition,[],[f218,f1]) ).
fof(f218,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f303,plain,
( ~ spl15_28
| ~ spl15_29
| ~ spl15_15 ),
inference(avatar_split_clause,[],[f252,f214,f300,f296]) ).
fof(f214,plain,
( spl15_15
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f252,plain,
( sk_c10 != inverse(sk_c9)
| sk_c9 != sk_c8
| ~ spl15_15 ),
inference(superposition,[],[f215,f208]) ).
fof(f215,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f258,plain,
( ~ spl15_2
| ~ spl15_14
| ~ spl15_15 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f257,plain,
( $false
| ~ spl15_2
| ~ spl15_14
| ~ spl15_15 ),
inference(subsumption_resolution,[],[f256,f242]) ).
fof(f256,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl15_2
| ~ spl15_15 ),
inference(trivial_inequality_removal,[],[f253]) ).
fof(f253,plain,
( sk_c10 != inverse(sk_c4)
| sk_c9 != sk_c9
| ~ spl15_2
| ~ spl15_15 ),
inference(superposition,[],[f215,f240]) ).
fof(f232,plain,
( spl15_10
| spl15_9 ),
inference(avatar_split_clause,[],[f80,f155,f160]) ).
fof(f80,plain,
( sk_c9 = sF9
| sk_c3 = sF2 ),
inference(definition_folding,[],[f37,f68,f56]) ).
fof(f37,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f231,plain,
( spl15_3
| spl15_11 ),
inference(avatar_split_clause,[],[f82,f167,f125]) ).
fof(f82,plain,
( sk_c9 = sF11
| sk_c10 = sF12 ),
inference(definition_folding,[],[f45,f74,f72]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f230,plain,
( spl15_14
| spl15_1 ),
inference(avatar_split_clause,[],[f88,f116,f188]) ).
fof(f88,plain,
( sk_c10 = sF4
| sk_c10 = sF13 ),
inference(definition_folding,[],[f6,f75,f60]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f228,plain,
( spl15_15
| spl15_16
| ~ spl15_8
| spl15_17
| ~ spl15_4
| spl15_18
| spl15_19 ),
inference(avatar_split_clause,[],[f212,f226,f223,f129,f220,f148,f217,f214]) ).
fof(f212,plain,
! [X3,X8,X6,X7,X5] :
( sk_c10 != inverse(X5)
| sk_c9 != inverse(X7)
| sk_c9 != sF14
| sk_c10 != inverse(inverse(X8))
| sk_c8 != sF0
| sk_c9 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| inverse(X8) != multiply(X8,sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8) ),
inference(subsumption_resolution,[],[f114,f67]) ).
fof(f114,plain,
! [X3,X8,X6,X7,X5] :
( sk_c10 != inverse(X5)
| sk_c9 != sF14
| sk_c9 != inverse(X3)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(inverse(X8))
| sk_c9 != inverse(X7)
| inverse(X8) != multiply(X8,sk_c10)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c8 != sF8
| sk_c8 != sF0
| sk_c10 != multiply(X3,sk_c9) ),
inference(definition_folding,[],[f52,f77,f66,f53]) ).
fof(f52,plain,
! [X3,X8,X6,X7,X5] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(inverse(X8))
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c10 != inverse(X5)
| inverse(X8) != multiply(X8,sk_c10)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(sk_c10,X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(inverse(X8))
| multiply(X5,sk_c10) != X4
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c10 != inverse(X5)
| inverse(X8) != multiply(X8,sk_c10)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(equality_resolution,[],[f50]) ).
fof(f50,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X3,sk_c9)
| inverse(X8) != X9
| sk_c9 != multiply(sk_c10,X4)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X9)
| multiply(X5,sk_c10) != X4
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c10 != inverse(X5)
| multiply(X8,sk_c10) != X9
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f210,plain,
( spl15_11
| spl15_10 ),
inference(avatar_split_clause,[],[f107,f160,f167]) ).
fof(f107,plain,
( sk_c3 = sF2
| sk_c9 = sF11 ),
inference(definition_folding,[],[f36,f72,f56]) ).
fof(f36,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f209,plain,
( spl15_12
| spl15_1 ),
inference(avatar_split_clause,[],[f95,f116,f174]) ).
fof(f95,plain,
( sk_c10 = sF4
| sk_c10 = sF3 ),
inference(definition_folding,[],[f12,f58,f60]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f207,plain,
( spl15_8
| spl15_3 ),
inference(avatar_split_clause,[],[f92,f125,f148]) ).
fof(f92,plain,
( sk_c10 = sF12
| sk_c8 = sF0 ),
inference(definition_folding,[],[f43,f53,f74]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f206,plain,
( spl15_13
| spl15_11 ),
inference(avatar_split_clause,[],[f79,f167,f179]) ).
fof(f79,plain,
( sk_c9 = sF11
| sk_c9 = sF1 ),
inference(definition_folding,[],[f18,f72,f54]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f203,plain,
( spl15_12
| spl15_13 ),
inference(avatar_split_clause,[],[f85,f179,f174]) ).
fof(f85,plain,
( sk_c9 = sF1
| sk_c10 = sF3 ),
inference(definition_folding,[],[f21,f58,f54]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f201,plain,
( spl15_14
| spl15_13 ),
inference(avatar_split_clause,[],[f94,f179,f188]) ).
fof(f94,plain,
( sk_c9 = sF1
| sk_c10 = sF13 ),
inference(definition_folding,[],[f15,f75,f54]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f199,plain,
( spl15_5
| spl15_9 ),
inference(avatar_split_clause,[],[f89,f155,f134]) ).
fof(f89,plain,
( sk_c9 = sF9
| sk_c9 = sF7 ),
inference(definition_folding,[],[f28,f68,f64]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f198,plain,
( spl15_4
| spl15_13 ),
inference(avatar_split_clause,[],[f78,f179,f129]) ).
fof(f78,plain,
( sk_c9 = sF1
| sk_c9 = sF14 ),
inference(definition_folding,[],[f17,f77,f54]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f197,plain,
( spl15_13
| spl15_8 ),
inference(avatar_split_clause,[],[f55,f148,f179]) ).
fof(f55,plain,
( sk_c8 = sF0
| sk_c9 = sF1 ),
inference(definition_folding,[],[f16,f54,f53]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f195,plain,
( spl15_5
| spl15_11 ),
inference(avatar_split_clause,[],[f73,f167,f134]) ).
fof(f73,plain,
( sk_c9 = sF11
| sk_c9 = sF7 ),
inference(definition_folding,[],[f27,f72,f64]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f193,plain,
( spl15_4
| spl15_10 ),
inference(avatar_split_clause,[],[f110,f160,f129]) ).
fof(f110,plain,
( sk_c3 = sF2
| sk_c9 = sF14 ),
inference(definition_folding,[],[f35,f77,f56]) ).
fof(f35,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f186,plain,
( spl15_1
| spl15_7 ),
inference(avatar_split_clause,[],[f62,f143,f116]) ).
fof(f62,plain,
( sk_c6 = sF5
| sk_c10 = sF4 ),
inference(definition_folding,[],[f11,f61,f60]) ).
fof(f11,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f185,plain,
( spl15_13
| spl15_7 ),
inference(avatar_split_clause,[],[f83,f143,f179]) ).
fof(f83,plain,
( sk_c6 = sF5
| sk_c9 = sF1 ),
inference(definition_folding,[],[f20,f54,f61]) ).
fof(f20,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f184,plain,
( spl15_13
| spl15_9 ),
inference(avatar_split_clause,[],[f100,f155,f179]) ).
fof(f100,plain,
( sk_c9 = sF9
| sk_c9 = sF1 ),
inference(definition_folding,[],[f19,f68,f54]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f183,plain,
( spl15_1
| spl15_4 ),
inference(avatar_split_clause,[],[f106,f129,f116]) ).
fof(f106,plain,
( sk_c9 = sF14
| sk_c10 = sF4 ),
inference(definition_folding,[],[f8,f77,f60]) ).
fof(f8,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f182,plain,
( spl15_2
| spl15_13 ),
inference(avatar_split_clause,[],[f102,f179,f120]) ).
fof(f102,plain,
( sk_c9 = sF1
| sk_c9 = sF6 ),
inference(definition_folding,[],[f14,f54,f63]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f172,plain,
( spl15_8
| spl15_5 ),
inference(avatar_split_clause,[],[f96,f134,f148]) ).
fof(f96,plain,
( sk_c9 = sF7
| sk_c8 = sF0 ),
inference(definition_folding,[],[f25,f53,f64]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f170,plain,
( spl15_11
| spl15_1 ),
inference(avatar_split_clause,[],[f86,f116,f167]) ).
fof(f86,plain,
( sk_c10 = sF4
| sk_c9 = sF11 ),
inference(definition_folding,[],[f9,f72,f60]) ).
fof(f9,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f165,plain,
( spl15_9
| spl15_1 ),
inference(avatar_split_clause,[],[f69,f116,f155]) ).
fof(f69,plain,
( sk_c10 = sF4
| sk_c9 = sF9 ),
inference(definition_folding,[],[f10,f60,f68]) ).
fof(f10,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f164,plain,
( spl15_10
| spl15_8 ),
inference(avatar_split_clause,[],[f57,f148,f160]) ).
fof(f57,plain,
( sk_c8 = sF0
| sk_c3 = sF2 ),
inference(definition_folding,[],[f34,f53,f56]) ).
fof(f34,axiom,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f158,plain,
( spl15_3
| spl15_9 ),
inference(avatar_split_clause,[],[f113,f155,f125]) ).
fof(f113,plain,
( sk_c9 = sF9
| sk_c10 = sF12 ),
inference(definition_folding,[],[f46,f68,f74]) ).
fof(f46,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f153,plain,
( spl15_5
| spl15_4 ),
inference(avatar_split_clause,[],[f108,f129,f134]) ).
fof(f108,plain,
( sk_c9 = sF14
| sk_c9 = sF7 ),
inference(definition_folding,[],[f26,f77,f64]) ).
fof(f26,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f151,plain,
( spl15_1
| spl15_8 ),
inference(avatar_split_clause,[],[f111,f148,f116]) ).
fof(f111,plain,
( sk_c8 = sF0
| sk_c10 = sF4 ),
inference(definition_folding,[],[f7,f53,f60]) ).
fof(f7,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP325-1 : 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
% 0.12/0.33 % Computer : n002.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 22:36:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (4396)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.47 % (4421)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.47 % (4401)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48 % (4425)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)
% 0.19/0.49 % (4408)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)
% 0.19/0.49 % (4413)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (4413)Instruction limit reached!
% 0.19/0.49 % (4413)------------------------------
% 0.19/0.49 % (4413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (4413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (4413)Termination reason: Unknown
% 0.19/0.49 % (4413)Termination phase: Property scanning
% 0.19/0.49
% 0.19/0.49 % (4413)Memory used [KB]: 1279
% 0.19/0.49 % (4413)Time elapsed: 0.003 s
% 0.19/0.49 % (4413)Instructions burned: 2 (million)
% 0.19/0.49 % (4413)------------------------------
% 0.19/0.49 % (4413)------------------------------
% 0.19/0.49 % (4411)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.49 % (4404)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (4409)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)
% 0.19/0.50 % (4404)Instruction limit reached!
% 0.19/0.50 % (4404)------------------------------
% 0.19/0.50 % (4404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4404)Termination reason: Unknown
% 0.19/0.50 % (4404)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4404)Memory used [KB]: 5884
% 0.19/0.50 % (4404)Time elapsed: 0.005 s
% 0.19/0.50 % (4404)Instructions burned: 4 (million)
% 0.19/0.50 % (4404)------------------------------
% 0.19/0.50 % (4404)------------------------------
% 0.19/0.50 % (4409)Instruction limit reached!
% 0.19/0.50 % (4409)------------------------------
% 0.19/0.50 % (4409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4409)Termination reason: Unknown
% 0.19/0.50 % (4409)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (4409)Memory used [KB]: 5884
% 0.19/0.50 % (4409)Time elapsed: 0.104 s
% 0.19/0.50 % (4409)Instructions burned: 5 (million)
% 0.19/0.50 % (4409)------------------------------
% 0.19/0.50 % (4409)------------------------------
% 0.19/0.50 % (4399)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)
% 0.19/0.50 % (4399)Refutation not found, incomplete strategy% (4399)------------------------------
% 0.19/0.50 % (4399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (4399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (4399)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (4399)Memory used [KB]: 5884
% 0.19/0.50 % (4399)Time elapsed: 0.108 s
% 0.19/0.50 % (4399)Instructions burned: 5 (million)
% 0.19/0.50 % (4399)------------------------------
% 0.19/0.50 % (4399)------------------------------
% 0.19/0.50 % (4400)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)
% 0.19/0.50 % (4402)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (4424)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)
% 0.19/0.51 % (4416)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)
% 0.19/0.51 % (4425)Instruction limit reached!
% 0.19/0.51 % (4425)------------------------------
% 0.19/0.51 % (4425)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4401)Instruction limit reached!
% 0.19/0.52 % (4401)------------------------------
% 0.19/0.52 % (4401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4401)Termination reason: Unknown
% 0.19/0.52 % (4401)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (4401)Memory used [KB]: 6268
% 0.19/0.52 % (4401)Time elapsed: 0.106 s
% 0.19/0.52 % (4401)Instructions burned: 26 (million)
% 0.19/0.52 % (4401)------------------------------
% 0.19/0.52 % (4401)------------------------------
% 0.19/0.52 % (4425)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4425)Termination reason: Unknown
% 0.19/0.52 % (4425)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (4425)Memory used [KB]: 6268
% 0.19/0.52 % (4425)Time elapsed: 0.114 s
% 0.19/0.52 % (4425)Instructions burned: 20 (million)
% 0.19/0.52 % (4425)------------------------------
% 0.19/0.52 % (4425)------------------------------
% 0.19/0.52 % (4419)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)
% 0.19/0.52 % (4414)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (4403)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)
% 0.19/0.52 % (4411)Instruction limit reached!
% 0.19/0.52 % (4411)------------------------------
% 0.19/0.52 % (4411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (4411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (4411)Termination reason: Unknown
% 0.19/0.52 % (4411)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (4411)Memory used [KB]: 1663
% 0.19/0.52 % (4411)Time elapsed: 0.122 s
% 0.19/0.52 % (4411)Instructions burned: 29 (million)
% 0.19/0.52 % (4411)------------------------------
% 0.19/0.52 % (4411)------------------------------
% 0.19/0.52 % (4397)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)
% 0.19/0.52 % (4398)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)
% 0.19/0.52 % (4426)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)
% 0.19/0.52 % (4398)Instruction limit reached!
% 0.19/0.52 % (4398)------------------------------
% 0.19/0.52 % (4398)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4420)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)
% 0.19/0.53 % (4422)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)
% 0.19/0.53 % (4423)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)
% 0.19/0.53 % (4417)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)
% 0.19/0.53 % (4412)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)
% 0.19/0.53 % (4415)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)
% 0.19/0.53 % (4398)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4398)Termination reason: Unknown
% 0.19/0.53 % (4398)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4398)Memory used [KB]: 5884
% 0.19/0.53 % (4398)Time elapsed: 0.004 s
% 0.19/0.53 % (4398)Instructions burned: 4 (million)
% 0.19/0.53 % (4398)------------------------------
% 0.19/0.53 % (4398)------------------------------
% 0.19/0.53 % (4420)Refutation not found, incomplete strategy% (4420)------------------------------
% 0.19/0.53 % (4420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4408)Instruction limit reached!
% 0.19/0.53 % (4408)------------------------------
% 0.19/0.53 % (4408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4418)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)
% 0.19/0.53 % (4408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4408)Termination reason: Unknown
% 0.19/0.53 % (4408)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4408)Memory used [KB]: 6268
% 0.19/0.53 % (4408)Time elapsed: 0.130 s
% 0.19/0.53 % (4408)Instructions burned: 24 (million)
% 0.19/0.53 % (4408)------------------------------
% 0.19/0.53 % (4408)------------------------------
% 0.19/0.53 % (4412)Instruction limit reached!
% 0.19/0.53 % (4412)------------------------------
% 0.19/0.53 % (4412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4412)Termination reason: Unknown
% 0.19/0.53 % (4412)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (4412)Memory used [KB]: 1535
% 0.19/0.53 % (4412)Time elapsed: 0.006 s
% 0.19/0.53 % (4412)Instructions burned: 8 (million)
% 0.19/0.53 % (4412)------------------------------
% 0.19/0.53 % (4412)------------------------------
% 0.19/0.53 % (4420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4420)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (4420)Memory used [KB]: 5884
% 0.19/0.53 % (4420)Time elapsed: 0.107 s
% 0.19/0.53 % (4420)Instructions burned: 4 (million)
% 0.19/0.53 % (4420)------------------------------
% 0.19/0.53 % (4420)------------------------------
% 0.19/0.53 % (4416)Instruction limit reached!
% 0.19/0.53 % (4416)------------------------------
% 0.19/0.53 % (4416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4416)Termination reason: Unknown
% 0.19/0.53 % (4416)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (4416)Memory used [KB]: 6012
% 0.19/0.53 % (4416)Time elapsed: 0.149 s
% 0.19/0.53 % (4416)Instructions burned: 8 (million)
% 0.19/0.53 % (4416)------------------------------
% 0.19/0.53 % (4416)------------------------------
% 0.19/0.53 % (4415)Refutation not found, incomplete strategy% (4415)------------------------------
% 0.19/0.53 % (4415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (4415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (4415)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (4415)Memory used [KB]: 10490
% 0.19/0.53 % (4415)Time elapsed: 0.140 s
% 0.19/0.53 % (4415)Instructions burned: 6 (million)
% 0.19/0.53 % (4415)------------------------------
% 0.19/0.53 % (4415)------------------------------
% 0.19/0.54 % (4405)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)
% 0.19/0.54 % (4417)Instruction limit reached!
% 0.19/0.54 % (4417)------------------------------
% 0.19/0.54 % (4417)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4417)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4417)Termination reason: Unknown
% 0.19/0.54 % (4417)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4417)Memory used [KB]: 1407
% 0.19/0.54 % (4417)Time elapsed: 0.006 s
% 0.19/0.54 % (4417)Instructions burned: 8 (million)
% 0.19/0.54 % (4417)------------------------------
% 0.19/0.54 % (4417)------------------------------
% 0.19/0.54 % (4410)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)
% 0.19/0.54 % (4410)Instruction limit reached!
% 0.19/0.54 % (4410)------------------------------
% 0.19/0.54 % (4410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4410)Termination reason: Unknown
% 0.19/0.54 % (4410)Termination phase: Property scanning
% 0.19/0.54
% 0.19/0.54 % (4410)Memory used [KB]: 1279
% 0.19/0.54 % (4410)Time elapsed: 0.002 s
% 0.19/0.54 % (4410)Instructions burned: 3 (million)
% 0.19/0.54 % (4410)------------------------------
% 0.19/0.54 % (4410)------------------------------
% 0.19/0.54 % (4407)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)
% 0.19/0.54 % (4407)Instruction limit reached!
% 0.19/0.54 % (4407)------------------------------
% 0.19/0.54 % (4407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4407)Termination reason: Unknown
% 0.19/0.54 % (4407)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4407)Memory used [KB]: 5884
% 0.19/0.54 % (4407)Time elapsed: 0.148 s
% 0.19/0.54 % (4407)Instructions burned: 6 (million)
% 0.19/0.54 % (4407)------------------------------
% 0.19/0.54 % (4407)------------------------------
% 0.19/0.54 % (4421)Instruction limit reached!
% 0.19/0.54 % (4421)------------------------------
% 0.19/0.54 % (4421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (4421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (4421)Termination reason: Unknown
% 0.19/0.54 % (4421)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (4421)Memory used [KB]: 6780
% 0.19/0.54 % (4421)Time elapsed: 0.172 s
% 0.19/0.54 % (4421)Instructions burned: 46 (million)
% 0.19/0.54 % (4421)------------------------------
% 0.19/0.54 % (4421)------------------------------
% 0.19/0.55 % (4414)Instruction limit reached!
% 0.19/0.55 % (4414)------------------------------
% 0.19/0.55 % (4414)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (4414)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (4414)Termination reason: Unknown
% 0.19/0.55 % (4414)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (4414)Memory used [KB]: 6012
% 0.19/0.55 % (4414)Time elapsed: 0.159 s
% 0.19/0.55 % (4414)Instructions burned: 9 (million)
% 0.19/0.55 % (4414)------------------------------
% 0.19/0.55 % (4414)------------------------------
% 0.19/0.56 % (4400)Instruction limit reached!
% 0.19/0.56 % (4400)------------------------------
% 0.19/0.56 % (4400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4400)Termination reason: Unknown
% 0.19/0.57 % (4400)Termination phase: Saturation
% 0.19/0.57
% 0.19/0.57 % (4400)Memory used [KB]: 6524
% 0.19/0.57 % (4400)Time elapsed: 0.167 s
% 0.19/0.57 % (4400)Instructions burned: 34 (million)
% 0.19/0.57 % (4400)------------------------------
% 0.19/0.57 % (4400)------------------------------
% 0.19/0.57 % (4396)First to succeed.
% 0.19/0.57 % (4396)Refutation found. Thanks to Tanya!
% 0.19/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.57 % (4396)------------------------------
% 0.19/0.57 % (4396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (4396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (4396)Termination reason: Refutation
% 0.19/0.57
% 0.19/0.57 % (4396)Memory used [KB]: 7036
% 0.19/0.57 % (4396)Time elapsed: 0.154 s
% 0.19/0.57 % (4396)Instructions burned: 68 (million)
% 0.19/0.57 % (4396)------------------------------
% 0.19/0.57 % (4396)------------------------------
% 0.19/0.57 % (4392)Success in time 0.221 s
%------------------------------------------------------------------------------