TSTP Solution File: GRP318-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP318-1 : 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_sat --cores 0 -t %d %s
% Computer : n001.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 16:21:16 EDT 2022
% Result : Unsatisfiable 2.16s 0.66s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 83
% Syntax : Number of formulae : 443 ( 43 unt; 0 def)
% Number of atoms : 1423 ( 576 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1895 ( 915 ~; 951 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 28 con; 0-2 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1874,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f192,f211,f216,f218,f224,f228,f230,f235,f240,f246,f247,f248,f250,f251,f254,f255,f256,f258,f259,f261,f262,f263,f264,f265,f267,f269,f270,f271,f272,f273,f274,f277,f279,f281,f282,f329,f334,f397,f400,f467,f468,f500,f564,f593,f756,f809,f868,f886,f926,f965,f1015,f1043,f1090,f1188,f1334,f1353,f1374,f1418,f1477,f1517,f1659,f1762,f1866,f1870]) ).
fof(f1870,plain,
( ~ spl16_5
| spl16_22
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(avatar_contradiction_clause,[],[f1869]) ).
fof(f1869,plain,
( $false
| ~ spl16_5
| spl16_22
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(subsumption_resolution,[],[f1868,f1677]) ).
fof(f1677,plain,
( identity = sk_c12
| ~ spl16_5
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1423,f1669]) ).
fof(f1669,plain,
( ! [X0] : multiply(sk_c12,X0) = X0
| ~ spl16_27 ),
inference(forward_demodulation,[],[f373,f327]) ).
fof(f327,plain,
( sk_c12 = inverse(identity)
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f326,plain,
( spl16_27
<=> sk_c12 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f373,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f355,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f355,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,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(f1423,plain,
( sk_c12 = multiply(sk_c12,identity)
| ~ spl16_5
| ~ spl16_24
| ~ spl16_28 ),
inference(forward_demodulation,[],[f833,f314]) ).
fof(f314,plain,
( identity = sk_c11
| ~ spl16_24 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl16_24
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_24])]) ).
fof(f833,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_5
| ~ spl16_28 ),
inference(forward_demodulation,[],[f831,f332]) ).
fof(f332,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl16_28 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl16_28
<=> sk_c12 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_28])]) ).
fof(f831,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c11)
| ~ spl16_5 ),
inference(superposition,[],[f355,f782]) ).
fof(f782,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl16_5 ),
inference(forward_demodulation,[],[f104,f166]) ).
fof(f166,plain,
( sk_c11 = sF15
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl16_5
<=> sk_c11 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f104,plain,
multiply(sk_c4,sk_c12) = sF15,
introduced(function_definition,[]) ).
fof(f1868,plain,
( identity != sk_c12
| ~ spl16_5
| spl16_22
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1867,f1678]) ).
fof(f1678,plain,
( identity = inverse(identity)
| ~ spl16_5
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(backward_demodulation,[],[f327,f1677]) ).
fof(f1867,plain,
( sk_c12 != inverse(identity)
| spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f306,f314]) ).
fof(f306,plain,
( sk_c12 != inverse(sk_c11)
| spl16_22 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl16_22
<=> sk_c12 = inverse(sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_22])]) ).
fof(f1866,plain,
( ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(subsumption_resolution,[],[f1850,f1678]) ).
fof(f1850,plain,
( identity != inverse(identity)
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(trivial_inequality_removal,[],[f1845]) ).
fof(f1845,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(superposition,[],[f1802,f1]) ).
fof(f1802,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(subsumption_resolution,[],[f1801,f1678]) ).
fof(f1801,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(identity)
| identity != inverse(X0) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1800,f1678]) ).
fof(f1800,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0)
| inverse(identity) != inverse(inverse(identity)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1799,f1678]) ).
fof(f1799,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(X0,identity) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1798,f1678]) ).
fof(f1798,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity)
| inverse(identity) != inverse(inverse(identity)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1797,f1678]) ).
fof(f1797,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1796,f1678]) ).
fof(f1796,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(subsumption_resolution,[],[f1794,f375]) ).
fof(f375,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f355,f2]) ).
fof(f1794,plain,
( ! [X0] :
( inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(superposition,[],[f1792,f1]) ).
fof(f1792,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| identity != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1791,f1677]) ).
fof(f1791,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10)) )
| ~ spl16_5
| ~ spl16_10
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28 ),
inference(forward_demodulation,[],[f1790,f1677]) ).
fof(f1790,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity)
| inverse(X10) != multiply(X10,inverse(inverse(X10))) )
| ~ spl16_10
| ~ spl16_24 ),
inference(forward_demodulation,[],[f185,f314]) ).
fof(f185,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10))) )
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl16_10
<=> ! [X8,X10] :
( inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c12 != multiply(X8,inverse(inverse(X10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f1762,plain,
( ~ spl16_5
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28
| spl16_29
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f1761]) ).
fof(f1761,plain,
( $false
| ~ spl16_5
| ~ spl16_24
| ~ spl16_27
| ~ spl16_28
| spl16_29
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f1760,f1677]) ).
fof(f1760,plain,
( identity != sk_c12
| spl16_29
| ~ spl16_32 ),
inference(forward_demodulation,[],[f872,f884]) ).
fof(f884,plain,
( identity = sk_c10
| ~ spl16_32 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f883,plain,
( spl16_32
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_32])]) ).
fof(f872,plain,
( sk_c12 != sk_c10
| spl16_29 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f870,plain,
( spl16_29
<=> sk_c12 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_29])]) ).
fof(f1659,plain,
( ~ spl16_11
| ~ spl16_22
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f1658]) ).
fof(f1658,plain,
( $false
| ~ spl16_11
| ~ spl16_22
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f1657,f1526]) ).
fof(f1526,plain,
( identity = inverse(identity)
| ~ spl16_22
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(forward_demodulation,[],[f972,f1359]) ).
fof(f1359,plain,
( identity = sk_c12
| ~ spl16_29
| ~ spl16_32 ),
inference(forward_demodulation,[],[f871,f884]) ).
fof(f871,plain,
( sk_c12 = sk_c10
| ~ spl16_29 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f972,plain,
( sk_c12 = inverse(identity)
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f305,f314]) ).
fof(f305,plain,
( sk_c12 = inverse(sk_c11)
| ~ spl16_22 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f1657,plain,
( identity != inverse(identity)
| ~ spl16_11
| ~ spl16_22
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(forward_demodulation,[],[f1653,f1526]) ).
fof(f1653,plain,
( identity != inverse(inverse(identity))
| ~ spl16_11
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(trivial_inequality_removal,[],[f1651]) ).
fof(f1651,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl16_11
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(superposition,[],[f1525,f2]) ).
fof(f1525,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl16_11
| ~ spl16_24
| ~ spl16_29
| ~ spl16_32 ),
inference(forward_demodulation,[],[f1524,f1359]) ).
fof(f1524,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c12 != multiply(X3,identity) )
| ~ spl16_11
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1523,f314]) ).
fof(f1523,plain,
( ! [X3] :
( sk_c12 != multiply(X3,sk_c11)
| identity != inverse(X3) )
| ~ spl16_11
| ~ spl16_24 ),
inference(forward_demodulation,[],[f188,f314]) ).
fof(f188,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c12 != multiply(X3,sk_c11) )
| ~ spl16_11 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl16_11
<=> ! [X3] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_11])]) ).
fof(f1517,plain,
( spl16_2
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f1516]) ).
fof(f1516,plain,
( $false
| spl16_2
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f1515,f884]) ).
fof(f1515,plain,
( identity != sk_c10
| spl16_2
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f151,f1489]) ).
fof(f1489,plain,
( identity = sF5
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f952,f1201]) ).
fof(f1201,plain,
( identity = sk_c12
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f972,f1107]) ).
fof(f1107,plain,
( identity = inverse(identity)
| ~ spl16_15
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1102,f1103]) ).
fof(f1103,plain,
( identity = sk_c1
| ~ spl16_15
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1100,f2]) ).
fof(f1100,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl16_15
| ~ spl16_24 ),
inference(backward_demodulation,[],[f911,f1097]) ).
fof(f1097,plain,
( identity = sF0
| ~ spl16_15
| ~ spl16_24 ),
inference(forward_demodulation,[],[f206,f314]) ).
fof(f206,plain,
( sk_c11 = sF0
| ~ spl16_15 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl16_15
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_15])]) ).
fof(f911,plain,
sk_c1 = multiply(inverse(sF0),identity),
inference(superposition,[],[f355,f819]) ).
fof(f819,plain,
identity = multiply(sF0,sk_c1),
inference(superposition,[],[f2,f68]) ).
fof(f68,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f1102,plain,
( identity = inverse(sk_c1)
| ~ spl16_15
| ~ spl16_24 ),
inference(backward_demodulation,[],[f68,f1097]) ).
fof(f952,plain,
( sk_c12 = sF5
| ~ spl16_24 ),
inference(forward_demodulation,[],[f927,f1]) ).
fof(f927,plain,
( sF5 = multiply(identity,sk_c12)
| ~ spl16_24 ),
inference(backward_demodulation,[],[f75,f314]) ).
fof(f75,plain,
multiply(sk_c11,sk_c12) = sF5,
introduced(function_definition,[]) ).
fof(f151,plain,
( sk_c10 != sF5
| spl16_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl16_2
<=> sk_c10 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f1477,plain,
( spl16_23
| ~ spl16_24
| ~ spl16_32 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| spl16_23
| ~ spl16_24
| ~ spl16_32 ),
inference(subsumption_resolution,[],[f1475,f314]) ).
fof(f1475,plain,
( identity != sk_c11
| spl16_23
| ~ spl16_32 ),
inference(forward_demodulation,[],[f310,f884]) ).
fof(f310,plain,
( sk_c11 != sk_c10
| spl16_23 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl16_23
<=> sk_c11 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_23])]) ).
fof(f1418,plain,
( ~ spl16_15
| ~ spl16_22
| ~ spl16_24
| spl16_27 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl16_15
| ~ spl16_22
| ~ spl16_24
| spl16_27 ),
inference(subsumption_resolution,[],[f1416,f1201]) ).
fof(f1416,plain,
( identity != sk_c12
| ~ spl16_15
| ~ spl16_24
| spl16_27 ),
inference(forward_demodulation,[],[f328,f1107]) ).
fof(f328,plain,
( sk_c12 != inverse(identity)
| spl16_27 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f1374,plain,
( ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(avatar_contradiction_clause,[],[f1373]) ).
fof(f1373,plain,
( $false
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1372,f1107]) ).
fof(f1372,plain,
( identity != inverse(identity)
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1368,f1107]) ).
fof(f1368,plain,
( identity != inverse(inverse(identity))
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(trivial_inequality_removal,[],[f1362]) ).
fof(f1362,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(superposition,[],[f1358,f2]) ).
fof(f1358,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1357,f314]) ).
fof(f1357,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl16_11
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1356,f1117]) ).
fof(f1117,plain,
( identity = sk_c12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(backward_demodulation,[],[f327,f1107]) ).
fof(f1356,plain,
( ! [X3] :
( sk_c12 != multiply(X3,identity)
| sk_c11 != inverse(X3) )
| ~ spl16_11
| ~ spl16_24 ),
inference(forward_demodulation,[],[f188,f314]) ).
fof(f1353,plain,
( ~ spl16_15
| ~ spl16_24
| spl16_31 ),
inference(avatar_contradiction_clause,[],[f1352]) ).
fof(f1352,plain,
( $false
| ~ spl16_15
| ~ spl16_24
| spl16_31 ),
inference(subsumption_resolution,[],[f1351,f1107]) ).
fof(f1351,plain,
( identity != inverse(identity)
| ~ spl16_15
| ~ spl16_24
| spl16_31 ),
inference(forward_demodulation,[],[f1350,f1107]) ).
fof(f1350,plain,
( identity != inverse(inverse(identity))
| ~ spl16_24
| spl16_31 ),
inference(forward_demodulation,[],[f881,f314]) ).
fof(f881,plain,
( sk_c11 != inverse(inverse(sk_c11))
| spl16_31 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f879,plain,
( spl16_31
<=> sk_c11 = inverse(inverse(sk_c11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_31])]) ).
fof(f1334,plain,
( ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(avatar_contradiction_clause,[],[f1333]) ).
fof(f1333,plain,
( $false
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1332,f1107]) ).
fof(f1332,plain,
( identity != inverse(identity)
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1327,f1107]) ).
fof(f1327,plain,
( identity != inverse(inverse(identity))
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(trivial_inequality_removal,[],[f1322]) ).
fof(f1322,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(superposition,[],[f1277,f2]) ).
fof(f1277,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1276,f1107]) ).
fof(f1276,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| identity != inverse(X0) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1275,f1107]) ).
fof(f1275,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1274,f1107]) ).
fof(f1274,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1273,f1107]) ).
fof(f1273,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1272,f1107]) ).
fof(f1272,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity))
| identity != inverse(identity) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1271,f1107]) ).
fof(f1271,plain,
( ! [X0] :
( inverse(identity) != inverse(inverse(identity))
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1256,f375]) ).
fof(f1256,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| inverse(identity) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(superposition,[],[f1237,f1]) ).
fof(f1237,plain,
( ! [X10,X8] :
( inverse(X10) != multiply(X10,inverse(inverse(X10)))
| inverse(X8) != inverse(inverse(X10))
| identity != multiply(inverse(inverse(X10)),identity)
| identity != multiply(X8,inverse(inverse(X10))) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1236,f1117]) ).
fof(f1236,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| identity != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity) )
| ~ spl16_10
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1235,f1117]) ).
fof(f1235,plain,
( ! [X10,X8] :
( inverse(X8) != inverse(inverse(X10))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c12 != multiply(inverse(inverse(X10)),identity) )
| ~ spl16_10
| ~ spl16_24 ),
inference(forward_demodulation,[],[f185,f314]) ).
fof(f1188,plain,
( ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1187,plain,
( $false
| ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1186,f314]) ).
fof(f1186,plain,
( identity != sk_c11
| ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1185,f1]) ).
fof(f1185,plain,
( sk_c11 != multiply(identity,identity)
| ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f1184,f1117]) ).
fof(f1184,plain,
( sk_c11 != multiply(identity,identity)
| identity != sk_c12
| ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f1183,f1107]) ).
fof(f1183,plain,
( sk_c12 != inverse(identity)
| sk_c11 != multiply(identity,identity)
| ~ spl16_12
| ~ spl16_15
| ~ spl16_24
| ~ spl16_27 ),
inference(forward_demodulation,[],[f899,f1117]) ).
fof(f899,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| sk_c12 != inverse(identity)
| ~ spl16_12 ),
inference(superposition,[],[f191,f1]) ).
fof(f191,plain,
( ! [X5] :
( sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| sk_c12 != inverse(X5) )
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f190,plain,
( spl16_12
<=> ! [X5] :
( sk_c12 != inverse(X5)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f1090,plain,
( ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(avatar_contradiction_clause,[],[f1089]) ).
fof(f1089,plain,
( $false
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(subsumption_resolution,[],[f1088,f314]) ).
fof(f1088,plain,
( identity != sk_c11
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1087,f1]) ).
fof(f1087,plain,
( sk_c11 != multiply(identity,identity)
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1086,f973]) ).
fof(f973,plain,
( identity = sk_c12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f972,f966]) ).
fof(f966,plain,
( identity = inverse(identity)
| ~ spl16_20
| ~ spl16_24 ),
inference(forward_demodulation,[],[f938,f958]) ).
fof(f958,plain,
( identity = sk_c5
| ~ spl16_20
| ~ spl16_24 ),
inference(forward_demodulation,[],[f936,f2]) ).
fof(f936,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl16_20
| ~ spl16_24 ),
inference(backward_demodulation,[],[f722,f314]) ).
fof(f722,plain,
( sk_c5 = multiply(inverse(sk_c11),identity)
| ~ spl16_20 ),
inference(backward_demodulation,[],[f390,f239]) ).
fof(f239,plain,
( sk_c11 = sF7
| ~ spl16_20 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl16_20
<=> sk_c11 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f390,plain,
sk_c5 = multiply(inverse(sF7),identity),
inference(superposition,[],[f355,f292]) ).
fof(f292,plain,
identity = multiply(sF7,sk_c5),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
inverse(sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f938,plain,
( identity = inverse(sk_c5)
| ~ spl16_20
| ~ spl16_24 ),
inference(backward_demodulation,[],[f724,f314]) ).
fof(f724,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl16_20 ),
inference(backward_demodulation,[],[f78,f239]) ).
fof(f1086,plain,
( sk_c11 != multiply(sk_c12,identity)
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(subsumption_resolution,[],[f1085,f966]) ).
fof(f1085,plain,
( identity != inverse(identity)
| sk_c11 != multiply(sk_c12,identity)
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f1084,f966]) ).
fof(f1084,plain,
( identity != inverse(inverse(identity))
| sk_c11 != multiply(sk_c12,identity)
| ~ spl16_12
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f901,f973]) ).
fof(f901,plain,
( sk_c12 != inverse(inverse(sk_c12))
| sk_c11 != multiply(sk_c12,identity)
| ~ spl16_12 ),
inference(superposition,[],[f191,f2]) ).
fof(f1043,plain,
( spl16_32
| ~ spl16_23
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f1042,f313,f308,f883]) ).
fof(f1042,plain,
( identity = sk_c10
| ~ spl16_23
| ~ spl16_24 ),
inference(forward_demodulation,[],[f309,f314]) ).
fof(f309,plain,
( sk_c11 = sk_c10
| ~ spl16_23 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f1015,plain,
( spl16_32
| ~ spl16_2
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f1014,f313,f304,f237,f150,f883]) ).
fof(f1014,plain,
( identity = sk_c10
| ~ spl16_2
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(forward_demodulation,[],[f152,f989]) ).
fof(f989,plain,
( identity = sF5
| ~ spl16_20
| ~ spl16_22
| ~ spl16_24 ),
inference(backward_demodulation,[],[f952,f973]) ).
fof(f152,plain,
( sk_c10 = sF5
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f965,plain,
( spl16_32
| ~ spl16_7
| ~ spl16_20
| ~ spl16_24 ),
inference(avatar_split_clause,[],[f964,f313,f237,f173,f883]) ).
fof(f173,plain,
( spl16_7
<=> sk_c10 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f964,plain,
( identity = sk_c10
| ~ spl16_7
| ~ spl16_20
| ~ spl16_24 ),
inference(forward_demodulation,[],[f961,f1]) ).
fof(f961,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl16_7
| ~ spl16_20
| ~ spl16_24 ),
inference(backward_demodulation,[],[f948,f958]) ).
fof(f948,plain,
( sk_c10 = multiply(sk_c5,identity)
| ~ spl16_7
| ~ spl16_24 ),
inference(backward_demodulation,[],[f856,f314]) ).
fof(f856,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl16_7 ),
inference(forward_demodulation,[],[f91,f175]) ).
fof(f175,plain,
( sk_c10 = sF13
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f91,plain,
multiply(sk_c5,sk_c11) = sF13,
introduced(function_definition,[]) ).
fof(f926,plain,
( ~ spl16_1
| ~ spl16_4
| ~ spl16_5
| ~ spl16_14
| ~ spl16_19
| ~ spl16_21
| spl16_26 ),
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| ~ spl16_1
| ~ spl16_4
| ~ spl16_5
| ~ spl16_14
| ~ spl16_19
| ~ spl16_21
| spl16_26 ),
inference(subsumption_resolution,[],[f923,f324]) ).
fof(f324,plain,
( sk_c11 != sk_c12
| spl16_26 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f322,plain,
( spl16_26
<=> sk_c11 = sk_c12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_26])]) ).
fof(f923,plain,
( sk_c11 = sk_c12
| ~ spl16_1
| ~ spl16_4
| ~ spl16_5
| ~ spl16_14
| ~ spl16_19
| ~ spl16_21 ),
inference(backward_demodulation,[],[f791,f918]) ).
fof(f918,plain,
( ! [X14] : multiply(sk_c12,X14) = X14
| ~ spl16_1
| ~ spl16_14
| ~ spl16_19
| ~ spl16_21 ),
inference(backward_demodulation,[],[f799,f917]) ).
fof(f917,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c9,X0)) = X0
| ~ spl16_1
| ~ spl16_14
| ~ spl16_21 ),
inference(backward_demodulation,[],[f548,f916]) ).
fof(f916,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,X0)
| ~ spl16_1
| ~ spl16_14 ),
inference(forward_demodulation,[],[f915,f1]) ).
fof(f915,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl16_1
| ~ spl16_14 ),
inference(superposition,[],[f3,f540]) ).
fof(f540,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl16_1
| ~ spl16_14 ),
inference(backward_demodulation,[],[f517,f201]) ).
fof(f201,plain,
( sk_c9 = sF1
| ~ spl16_14 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f199,plain,
( spl16_14
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_14])]) ).
fof(f517,plain,
( sk_c8 = multiply(sF1,identity)
| ~ spl16_1 ),
inference(forward_demodulation,[],[f513,f69]) ).
fof(f69,plain,
inverse(sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f513,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl16_1 ),
inference(backward_demodulation,[],[f389,f148]) ).
fof(f148,plain,
( sk_c7 = sF3
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl16_1
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f389,plain,
sk_c8 = multiply(inverse(sF3),identity),
inference(superposition,[],[f355,f294]) ).
fof(f294,plain,
identity = multiply(sF3,sk_c8),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
inverse(sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f548,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl16_1
| ~ spl16_14
| ~ spl16_21 ),
inference(backward_demodulation,[],[f514,f545]) ).
fof(f545,plain,
( sk_c6 = sk_c7
| ~ spl16_14
| ~ spl16_21 ),
inference(forward_demodulation,[],[f541,f505]) ).
fof(f505,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl16_21 ),
inference(backward_demodulation,[],[f391,f245]) ).
fof(f245,plain,
( sk_c9 = sF9
| ~ spl16_21 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl16_21
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_21])]) ).
fof(f391,plain,
sk_c6 = multiply(inverse(sF9),identity),
inference(superposition,[],[f355,f293]) ).
fof(f293,plain,
identity = multiply(sF9,sk_c6),
inference(superposition,[],[f2,f83]) ).
fof(f83,plain,
inverse(sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f541,plain,
( sk_c7 = multiply(inverse(sk_c9),identity)
| ~ spl16_14 ),
inference(backward_demodulation,[],[f388,f201]) ).
fof(f388,plain,
sk_c7 = multiply(inverse(sF1),identity),
inference(superposition,[],[f355,f295]) ).
fof(f295,plain,
identity = multiply(sF1,sk_c7),
inference(superposition,[],[f2,f69]) ).
fof(f514,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl16_1 ),
inference(backward_demodulation,[],[f363,f148]) ).
fof(f363,plain,
! [X0] : multiply(sF3,multiply(sk_c8,X0)) = X0,
inference(forward_demodulation,[],[f362,f1]) ).
fof(f362,plain,
! [X0] : multiply(identity,X0) = multiply(sF3,multiply(sk_c8,X0)),
inference(superposition,[],[f3,f294]) ).
fof(f799,plain,
( ! [X14] : multiply(sk_c6,multiply(sk_c9,X14)) = multiply(sk_c12,X14)
| ~ spl16_19 ),
inference(backward_demodulation,[],[f345,f234]) ).
fof(f234,plain,
( sk_c12 = sF4
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl16_19
<=> sk_c12 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f345,plain,
! [X14] : multiply(sF4,X14) = multiply(sk_c6,multiply(sk_c9,X14)),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
multiply(sk_c6,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f791,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl16_4
| ~ spl16_5 ),
inference(backward_demodulation,[],[f783,f161]) ).
fof(f161,plain,
( sk_c12 = sF11
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl16_4
<=> sk_c12 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f783,plain,
( sk_c12 = multiply(sF11,sk_c11)
| ~ spl16_5 ),
inference(forward_demodulation,[],[f394,f166]) ).
fof(f394,plain,
sk_c12 = multiply(sF11,sF15),
inference(forward_demodulation,[],[f381,f88]) ).
fof(f88,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f381,plain,
sk_c12 = multiply(inverse(sk_c4),sF15),
inference(superposition,[],[f355,f104]) ).
fof(f886,plain,
( ~ spl16_31
| ~ spl16_32
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f862,f181,f883,f879]) ).
fof(f181,plain,
( spl16_9
<=> ! [X7] :
( sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f862,plain,
( identity != sk_c10
| sk_c11 != inverse(inverse(sk_c11))
| ~ spl16_9 ),
inference(superposition,[],[f182,f2]) ).
fof(f182,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c11)
| sk_c11 != inverse(X7) )
| ~ spl16_9 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f868,plain,
( ~ spl16_7
| ~ spl16_9
| ~ spl16_20 ),
inference(avatar_contradiction_clause,[],[f867]) ).
fof(f867,plain,
( $false
| ~ spl16_7
| ~ spl16_9
| ~ spl16_20 ),
inference(subsumption_resolution,[],[f866,f724]) ).
fof(f866,plain,
( sk_c11 != inverse(sk_c5)
| ~ spl16_7
| ~ spl16_9 ),
inference(trivial_inequality_removal,[],[f863]) ).
fof(f863,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c5)
| ~ spl16_7
| ~ spl16_9 ),
inference(superposition,[],[f182,f856]) ).
fof(f809,plain,
( spl16_28
| ~ spl16_4 ),
inference(avatar_split_clause,[],[f792,f159,f331]) ).
fof(f792,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl16_4 ),
inference(backward_demodulation,[],[f88,f161]) ).
fof(f756,plain,
( ~ spl16_16
| ~ spl16_19
| ~ spl16_21
| spl16_24
| ~ spl16_26 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl16_16
| ~ spl16_19
| ~ spl16_21
| spl16_24
| ~ spl16_26 ),
inference(subsumption_resolution,[],[f754,f315]) ).
fof(f315,plain,
( identity != sk_c11
| spl16_24 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f754,plain,
( identity = sk_c11
| ~ spl16_16
| ~ spl16_19
| ~ spl16_21
| ~ spl16_26 ),
inference(forward_demodulation,[],[f751,f2]) ).
fof(f751,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl16_16
| ~ spl16_19
| ~ spl16_21
| ~ spl16_26 ),
inference(backward_demodulation,[],[f665,f744]) ).
fof(f744,plain,
( sk_c11 = sk_c9
| ~ spl16_16
| ~ spl16_19
| ~ spl16_21
| ~ spl16_26 ),
inference(forward_demodulation,[],[f743,f664]) ).
fof(f664,plain,
( sk_c11 = multiply(sk_c9,sk_c11)
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f85,f663]) ).
fof(f663,plain,
( sk_c11 = sF10
| ~ spl16_16
| ~ spl16_26 ),
inference(forward_demodulation,[],[f210,f323]) ).
fof(f323,plain,
( sk_c11 = sk_c12
| ~ spl16_26 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f210,plain,
( sk_c12 = sF10
| ~ spl16_16 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl16_16
<=> sk_c12 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f85,plain,
multiply(sk_c9,sk_c11) = sF10,
introduced(function_definition,[]) ).
fof(f743,plain,
( sk_c9 = multiply(sk_c9,sk_c11)
| ~ spl16_19
| ~ spl16_21
| ~ spl16_26 ),
inference(forward_demodulation,[],[f506,f654]) ).
fof(f654,plain,
( sk_c11 = sF4
| ~ spl16_19
| ~ spl16_26 ),
inference(forward_demodulation,[],[f234,f323]) ).
fof(f506,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl16_21 ),
inference(backward_demodulation,[],[f401,f245]) ).
fof(f401,plain,
sk_c9 = multiply(sF9,sF4),
inference(forward_demodulation,[],[f383,f83]) ).
fof(f383,plain,
sk_c9 = multiply(inverse(sk_c6),sF4),
inference(superposition,[],[f355,f74]) ).
fof(f665,plain,
( sk_c11 = multiply(inverse(sk_c9),sk_c11)
| ~ spl16_16
| ~ spl16_26 ),
inference(backward_demodulation,[],[f384,f663]) ).
fof(f384,plain,
sk_c11 = multiply(inverse(sk_c9),sF10),
inference(superposition,[],[f355,f85]) ).
fof(f593,plain,
( spl16_2
| ~ spl16_23
| ~ spl16_24
| ~ spl16_26 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| spl16_2
| ~ spl16_23
| ~ spl16_24
| ~ spl16_26 ),
inference(subsumption_resolution,[],[f591,f477]) ).
fof(f477,plain,
( identity = sk_c10
| ~ spl16_23
| ~ spl16_24 ),
inference(backward_demodulation,[],[f309,f314]) ).
fof(f591,plain,
( identity != sk_c10
| spl16_2
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f151,f558]) ).
fof(f558,plain,
( identity = sF5
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f557,f1]) ).
fof(f557,plain,
( multiply(identity,identity) = sF5
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f556,f314]) ).
fof(f556,plain,
( multiply(sk_c11,identity) = sF5
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f75,f478]) ).
fof(f478,plain,
( identity = sk_c12
| ~ spl16_24
| ~ spl16_26 ),
inference(backward_demodulation,[],[f323,f314]) ).
fof(f564,plain,
( ~ spl16_4
| ~ spl16_24
| ~ spl16_26
| spl16_27 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f563,plain,
( $false
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26
| spl16_27 ),
inference(subsumption_resolution,[],[f486,f534]) ).
fof(f534,plain,
( identity = inverse(identity)
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f531,f532]) ).
fof(f532,plain,
( identity = sk_c4
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f529,f2]) ).
fof(f529,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26 ),
inference(backward_demodulation,[],[f392,f527]) ).
fof(f527,plain,
( identity = sF11
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26 ),
inference(forward_demodulation,[],[f161,f478]) ).
fof(f392,plain,
sk_c4 = multiply(inverse(sF11),identity),
inference(superposition,[],[f355,f291]) ).
fof(f291,plain,
identity = multiply(sF11,sk_c4),
inference(superposition,[],[f2,f88]) ).
fof(f531,plain,
( identity = inverse(sk_c4)
| ~ spl16_4
| ~ spl16_24
| ~ spl16_26 ),
inference(backward_demodulation,[],[f88,f527]) ).
fof(f486,plain,
( identity != inverse(identity)
| ~ spl16_24
| ~ spl16_26
| spl16_27 ),
inference(backward_demodulation,[],[f415,f314]) ).
fof(f415,plain,
( sk_c11 != inverse(identity)
| ~ spl16_26
| spl16_27 ),
inference(backward_demodulation,[],[f328,f323]) ).
fof(f500,plain,
( ~ spl16_15
| spl16_22
| ~ spl16_24
| ~ spl16_26 ),
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f499,plain,
( $false
| ~ spl16_15
| spl16_22
| ~ spl16_24
| ~ spl16_26 ),
inference(subsumption_resolution,[],[f498,f485]) ).
fof(f485,plain,
( identity != inverse(identity)
| spl16_22
| ~ spl16_24
| ~ spl16_26 ),
inference(backward_demodulation,[],[f414,f314]) ).
fof(f414,plain,
( sk_c11 != inverse(sk_c11)
| spl16_22
| ~ spl16_26 ),
inference(backward_demodulation,[],[f306,f323]) ).
fof(f498,plain,
( identity = inverse(identity)
| ~ spl16_15
| ~ spl16_24 ),
inference(backward_demodulation,[],[f475,f495]) ).
fof(f495,plain,
( identity = sk_c1
| ~ spl16_15
| ~ spl16_24 ),
inference(forward_demodulation,[],[f479,f2]) ).
fof(f479,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl16_15
| ~ spl16_24 ),
inference(backward_demodulation,[],[f378,f314]) ).
fof(f378,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl16_15 ),
inference(superposition,[],[f355,f296]) ).
fof(f296,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl16_15 ),
inference(superposition,[],[f2,f288]) ).
fof(f288,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl16_15 ),
inference(backward_demodulation,[],[f68,f206]) ).
fof(f475,plain,
( identity = inverse(sk_c1)
| ~ spl16_15
| ~ spl16_24 ),
inference(backward_demodulation,[],[f288,f314]) ).
fof(f468,plain,
( spl16_24
| ~ spl16_3
| ~ spl16_6
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(avatar_split_clause,[],[f445,f322,f221,f213,f204,f168,f155,f313]) ).
fof(f155,plain,
( spl16_3
<=> sk_c12 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f168,plain,
( spl16_6
<=> sk_c12 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f213,plain,
( spl16_17
<=> sk_c3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f221,plain,
( spl16_18
<=> sk_c11 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f445,plain,
( identity = sk_c11
| ~ spl16_3
| ~ spl16_6
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f437,f440]) ).
fof(f440,plain,
( ! [X17] : multiply(sk_c11,X17) = X17
| ~ spl16_3
| ~ spl16_6
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(forward_demodulation,[],[f419,f439]) ).
fof(f439,plain,
( ! [X18] : multiply(sk_c1,multiply(sk_c11,X18)) = X18
| ~ spl16_3
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f438,plain,
( ! [X18] : multiply(identity,X18) = multiply(sk_c1,multiply(sk_c11,X18))
| ~ spl16_3
| ~ spl16_15
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f431,f434]) ).
fof(f434,plain,
( identity = sk_c3
| ~ spl16_18
| ~ spl16_26 ),
inference(forward_demodulation,[],[f424,f2]) ).
fof(f424,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c11)
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f379,f323]) ).
fof(f379,plain,
( sk_c3 = multiply(inverse(sk_c12),sk_c11)
| ~ spl16_18 ),
inference(superposition,[],[f355,f290]) ).
fof(f290,plain,
( sk_c11 = multiply(sk_c12,sk_c3)
| ~ spl16_18 ),
inference(backward_demodulation,[],[f77,f223]) ).
fof(f223,plain,
( sk_c11 = sF6
| ~ spl16_18 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f77,plain,
multiply(sk_c12,sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f431,plain,
( ! [X18] : multiply(sk_c3,X18) = multiply(sk_c1,multiply(sk_c11,X18))
| ~ spl16_3
| ~ spl16_15
| ~ spl16_17
| ~ spl16_26 ),
inference(backward_demodulation,[],[f420,f429]) ).
fof(f429,plain,
( sk_c1 = sk_c2
| ~ spl16_3
| ~ spl16_15
| ~ spl16_26 ),
inference(forward_demodulation,[],[f425,f378]) ).
fof(f425,plain,
( sk_c2 = multiply(inverse(sk_c11),identity)
| ~ spl16_3
| ~ spl16_26 ),
inference(backward_demodulation,[],[f380,f323]) ).
fof(f380,plain,
( sk_c2 = multiply(inverse(sk_c12),identity)
| ~ spl16_3 ),
inference(superposition,[],[f355,f297]) ).
fof(f297,plain,
( identity = multiply(sk_c12,sk_c2)
| ~ spl16_3 ),
inference(superposition,[],[f2,f285]) ).
fof(f285,plain,
( sk_c12 = inverse(sk_c2)
| ~ spl16_3 ),
inference(backward_demodulation,[],[f90,f157]) ).
fof(f157,plain,
( sk_c12 = sF12
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f90,plain,
inverse(sk_c2) = sF12,
introduced(function_definition,[]) ).
fof(f420,plain,
( ! [X18] : multiply(sk_c3,X18) = multiply(sk_c2,multiply(sk_c11,X18))
| ~ spl16_17
| ~ spl16_26 ),
inference(backward_demodulation,[],[f349,f323]) ).
fof(f349,plain,
( ! [X18] : multiply(sk_c3,X18) = multiply(sk_c2,multiply(sk_c12,X18))
| ~ spl16_17 ),
inference(superposition,[],[f3,f289]) ).
fof(f289,plain,
( sk_c3 = multiply(sk_c2,sk_c12)
| ~ spl16_17 ),
inference(backward_demodulation,[],[f71,f215]) ).
fof(f215,plain,
( sk_c3 = sF2
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f71,plain,
multiply(sk_c2,sk_c12) = sF2,
introduced(function_definition,[]) ).
fof(f419,plain,
( ! [X17] : multiply(sk_c1,multiply(sk_c11,X17)) = multiply(sk_c11,X17)
| ~ spl16_6
| ~ spl16_26 ),
inference(backward_demodulation,[],[f348,f323]) ).
fof(f348,plain,
( ! [X17] : multiply(sk_c1,multiply(sk_c11,X17)) = multiply(sk_c12,X17)
| ~ spl16_6 ),
inference(superposition,[],[f3,f286]) ).
fof(f286,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl16_6 ),
inference(backward_demodulation,[],[f80,f170]) ).
fof(f170,plain,
( sk_c12 = sF8
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f80,plain,
multiply(sk_c1,sk_c11) = sF8,
introduced(function_definition,[]) ).
fof(f437,plain,
( sk_c11 = multiply(sk_c11,identity)
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f412,f434]) ).
fof(f412,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f290,f323]) ).
fof(f467,plain,
( ~ spl16_24
| ~ spl16_3
| ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(avatar_split_clause,[],[f436,f322,f221,f213,f178,f155,f313]) ).
fof(f178,plain,
( spl16_8
<=> ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f436,plain,
( identity != sk_c11
| ~ spl16_3
| ~ spl16_8
| ~ spl16_17
| ~ spl16_18
| ~ spl16_26 ),
inference(backward_demodulation,[],[f335,f434]) ).
fof(f335,plain,
( sk_c11 != sk_c3
| ~ spl16_3
| ~ spl16_8
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f302,f285]) ).
fof(f302,plain,
( sk_c12 != inverse(sk_c2)
| sk_c11 != sk_c3
| ~ spl16_8
| ~ spl16_17 ),
inference(superposition,[],[f179,f289]) ).
fof(f179,plain,
( ! [X6] :
( sk_c11 != multiply(X6,sk_c12)
| sk_c12 != inverse(X6) )
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f400,plain,
( spl16_23
| ~ spl16_2
| ~ spl16_6
| ~ spl16_15 ),
inference(avatar_split_clause,[],[f399,f204,f168,f150,f308]) ).
fof(f399,plain,
( sk_c11 = sk_c10
| ~ spl16_2
| ~ spl16_6
| ~ spl16_15 ),
inference(backward_demodulation,[],[f287,f398]) ).
fof(f398,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl16_6
| ~ spl16_15 ),
inference(forward_demodulation,[],[f386,f288]) ).
fof(f386,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c12)
| ~ spl16_6 ),
inference(superposition,[],[f355,f286]) ).
fof(f287,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl16_2 ),
inference(backward_demodulation,[],[f75,f152]) ).
fof(f397,plain,
( spl16_26
| ~ spl16_3
| ~ spl16_17
| ~ spl16_18 ),
inference(avatar_split_clause,[],[f396,f221,f213,f155,f322]) ).
fof(f396,plain,
( sk_c11 = sk_c12
| ~ spl16_3
| ~ spl16_17
| ~ spl16_18 ),
inference(forward_demodulation,[],[f395,f290]) ).
fof(f395,plain,
( sk_c12 = multiply(sk_c12,sk_c3)
| ~ spl16_3
| ~ spl16_17 ),
inference(forward_demodulation,[],[f387,f285]) ).
fof(f387,plain,
( sk_c12 = multiply(inverse(sk_c2),sk_c3)
| ~ spl16_17 ),
inference(superposition,[],[f355,f289]) ).
fof(f334,plain,
( ~ spl16_5
| ~ spl16_28
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f301,f178,f331,f164]) ).
fof(f301,plain,
( sk_c12 != inverse(sk_c4)
| sk_c11 != sF15
| ~ spl16_8 ),
inference(superposition,[],[f179,f104]) ).
fof(f329,plain,
( ~ spl16_26
| ~ spl16_27
| ~ spl16_8 ),
inference(avatar_split_clause,[],[f298,f178,f326,f322]) ).
fof(f298,plain,
( sk_c12 != inverse(identity)
| sk_c11 != sk_c12
| ~ spl16_8 ),
inference(superposition,[],[f179,f1]) ).
fof(f282,plain,
( spl16_14
| spl16_17 ),
inference(avatar_split_clause,[],[f87,f213,f199]) ).
fof(f87,plain,
( sk_c3 = sF2
| sk_c9 = sF1 ),
inference(definition_folding,[],[f52,f71,f69]) ).
fof(f52,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f281,plain,
( spl16_6
| spl16_20 ),
inference(avatar_split_clause,[],[f106,f237,f168]) ).
fof(f106,plain,
( sk_c11 = sF7
| sk_c12 = sF8 ),
inference(definition_folding,[],[f17,f80,f78]) ).
fof(f17,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f279,plain,
( spl16_16
| spl16_6 ),
inference(avatar_split_clause,[],[f139,f168,f208]) ).
fof(f139,plain,
( sk_c12 = sF8
| sk_c12 = sF10 ),
inference(definition_folding,[],[f20,f85,f80]) ).
fof(f20,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f277,plain,
( spl16_17
| spl16_5 ),
inference(avatar_split_clause,[],[f111,f164,f213]) ).
fof(f111,plain,
( sk_c11 = sF15
| sk_c3 = sF2 ),
inference(definition_folding,[],[f44,f104,f71]) ).
fof(f44,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| sk_c11 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f274,plain,
( spl16_21
| spl16_18 ),
inference(avatar_split_clause,[],[f114,f221,f243]) ).
fof(f114,plain,
( sk_c11 = sF6
| sk_c9 = sF9 ),
inference(definition_folding,[],[f39,f83,f77]) ).
fof(f39,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f273,plain,
( spl16_4
| spl16_15 ),
inference(avatar_split_clause,[],[f93,f204,f159]) ).
fof(f93,plain,
( sk_c11 = sF0
| sk_c12 = sF11 ),
inference(definition_folding,[],[f25,f88,f68]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f272,plain,
( spl16_18
| spl16_16 ),
inference(avatar_split_clause,[],[f103,f208,f221]) ).
fof(f103,plain,
( sk_c12 = sF10
| sk_c11 = sF6 ),
inference(definition_folding,[],[f40,f85,f77]) ).
fof(f40,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f271,plain,
( spl16_6
| spl16_19 ),
inference(avatar_split_clause,[],[f119,f232,f168]) ).
fof(f119,plain,
( sk_c12 = sF4
| sk_c12 = sF8 ),
inference(definition_folding,[],[f18,f74,f80]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f270,plain,
( spl16_6
| spl16_21 ),
inference(avatar_split_clause,[],[f109,f243,f168]) ).
fof(f109,plain,
( sk_c9 = sF9
| sk_c12 = sF8 ),
inference(definition_folding,[],[f19,f80,f83]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f269,plain,
( spl16_21
| spl16_3 ),
inference(avatar_split_clause,[],[f130,f155,f243]) ).
fof(f130,plain,
( sk_c12 = sF12
| sk_c9 = sF9 ),
inference(definition_folding,[],[f59,f83,f90]) ).
fof(f59,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f267,plain,
( spl16_15
| spl16_19 ),
inference(avatar_split_clause,[],[f99,f232,f204]) ).
fof(f99,plain,
( sk_c12 = sF4
| sk_c11 = sF0 ),
inference(definition_folding,[],[f28,f74,f68]) ).
fof(f28,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f265,plain,
( spl16_17
| spl16_21 ),
inference(avatar_split_clause,[],[f112,f243,f213]) ).
fof(f112,plain,
( sk_c9 = sF9
| sk_c3 = sF2 ),
inference(definition_folding,[],[f49,f71,f83]) ).
fof(f49,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f264,plain,
( spl16_15
| spl16_7 ),
inference(avatar_split_clause,[],[f116,f173,f204]) ).
fof(f116,plain,
( sk_c10 = sF13
| sk_c11 = sF0 ),
inference(definition_folding,[],[f26,f68,f91]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f263,plain,
( spl16_20
| spl16_15 ),
inference(avatar_split_clause,[],[f142,f204,f237]) ).
fof(f142,plain,
( sk_c11 = sF0
| sk_c11 = sF7 ),
inference(definition_folding,[],[f27,f68,f78]) ).
fof(f27,axiom,
( sk_c11 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f262,plain,
( spl16_1
| spl16_17 ),
inference(avatar_split_clause,[],[f73,f213,f146]) ).
fof(f73,plain,
( sk_c3 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f51,f72,f71]) ).
fof(f51,axiom,
( sk_c3 = multiply(sk_c2,sk_c12)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f261,plain,
( spl16_16
| spl16_17 ),
inference(avatar_split_clause,[],[f136,f213,f208]) ).
fof(f136,plain,
( sk_c3 = sF2
| sk_c12 = sF10 ),
inference(definition_folding,[],[f50,f71,f85]) ).
fof(f50,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f259,plain,
( spl16_2
| spl16_19 ),
inference(avatar_split_clause,[],[f76,f232,f150]) ).
fof(f76,plain,
( sk_c12 = sF4
| sk_c10 = sF5 ),
inference(definition_folding,[],[f8,f75,f74]) ).
fof(f8,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f258,plain,
( spl16_7
| spl16_2 ),
inference(avatar_split_clause,[],[f124,f150,f173]) ).
fof(f124,plain,
( sk_c10 = sF5
| sk_c10 = sF13 ),
inference(definition_folding,[],[f6,f75,f91]) ).
fof(f6,axiom,
( sk_c10 = multiply(sk_c5,sk_c11)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f256,plain,
( spl16_18
| spl16_19 ),
inference(avatar_split_clause,[],[f137,f232,f221]) ).
fof(f137,plain,
( sk_c12 = sF4
| sk_c11 = sF6 ),
inference(definition_folding,[],[f38,f74,f77]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f255,plain,
( spl16_4
| spl16_18 ),
inference(avatar_split_clause,[],[f144,f221,f159]) ).
fof(f144,plain,
( sk_c11 = sF6
| sk_c12 = sF11 ),
inference(definition_folding,[],[f35,f77,f88]) ).
fof(f35,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f254,plain,
( spl16_18
| spl16_5 ),
inference(avatar_split_clause,[],[f108,f164,f221]) ).
fof(f108,plain,
( sk_c11 = sF15
| sk_c11 = sF6 ),
inference(definition_folding,[],[f34,f77,f104]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f251,plain,
( spl16_5
| spl16_3 ),
inference(avatar_split_clause,[],[f105,f155,f164]) ).
fof(f105,plain,
( sk_c12 = sF12
| sk_c11 = sF15 ),
inference(definition_folding,[],[f54,f90,f104]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f250,plain,
( spl16_3
| spl16_14 ),
inference(avatar_split_clause,[],[f131,f199,f155]) ).
fof(f131,plain,
( sk_c9 = sF1
| sk_c12 = sF12 ),
inference(definition_folding,[],[f62,f90,f69]) ).
fof(f62,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_59) ).
fof(f248,plain,
( spl16_3
| spl16_16 ),
inference(avatar_split_clause,[],[f110,f208,f155]) ).
fof(f110,plain,
( sk_c12 = sF10
| sk_c12 = sF12 ),
inference(definition_folding,[],[f60,f90,f85]) ).
fof(f60,axiom,
( sk_c12 = multiply(sk_c9,sk_c11)
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f247,plain,
( spl16_3
| spl16_19 ),
inference(avatar_split_clause,[],[f138,f232,f155]) ).
fof(f138,plain,
( sk_c12 = sF4
| sk_c12 = sF12 ),
inference(definition_folding,[],[f58,f74,f90]) ).
fof(f58,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c12 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f246,plain,
( spl16_21
| spl16_15 ),
inference(avatar_split_clause,[],[f95,f204,f243]) ).
fof(f95,plain,
( sk_c11 = sF0
| sk_c9 = sF9 ),
inference(definition_folding,[],[f29,f83,f68]) ).
fof(f29,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f240,plain,
( spl16_20
| spl16_2 ),
inference(avatar_split_clause,[],[f97,f150,f237]) ).
fof(f97,plain,
( sk_c10 = sF5
| sk_c11 = sF7 ),
inference(definition_folding,[],[f7,f75,f78]) ).
fof(f7,axiom,
( sk_c11 = inverse(sk_c5)
| multiply(sk_c11,sk_c12) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f235,plain,
( spl16_19
| spl16_17 ),
inference(avatar_split_clause,[],[f141,f213,f232]) ).
fof(f141,plain,
( sk_c3 = sF2
| sk_c12 = sF4 ),
inference(definition_folding,[],[f48,f71,f74]) ).
fof(f48,axiom,
( sk_c12 = multiply(sk_c6,sk_c9)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f230,plain,
( spl16_1
| spl16_3 ),
inference(avatar_split_clause,[],[f123,f155,f146]) ).
fof(f123,plain,
( sk_c12 = sF12
| sk_c7 = sF3 ),
inference(definition_folding,[],[f61,f90,f72]) ).
fof(f61,axiom,
( inverse(sk_c8) = sk_c7
| sk_c12 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_58) ).
fof(f228,plain,
( spl16_1
| spl16_18 ),
inference(avatar_split_clause,[],[f120,f221,f146]) ).
fof(f120,plain,
( sk_c11 = sF6
| sk_c7 = sF3 ),
inference(definition_folding,[],[f41,f72,f77]) ).
fof(f41,axiom,
( sk_c11 = multiply(sk_c12,sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f224,plain,
( spl16_18
| spl16_14 ),
inference(avatar_split_clause,[],[f98,f199,f221]) ).
fof(f98,plain,
( sk_c9 = sF1
| sk_c11 = sF6 ),
inference(definition_folding,[],[f42,f77,f69]) ).
fof(f42,axiom,
( sk_c9 = inverse(sk_c7)
| sk_c11 = multiply(sk_c12,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f218,plain,
( spl16_15
| spl16_5 ),
inference(avatar_split_clause,[],[f140,f164,f204]) ).
fof(f140,plain,
( sk_c11 = sF15
| sk_c11 = sF0 ),
inference(definition_folding,[],[f24,f68,f104]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c4,sk_c12)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f216,plain,
( spl16_4
| spl16_17 ),
inference(avatar_split_clause,[],[f134,f213,f159]) ).
fof(f134,plain,
( sk_c3 = sF2
| sk_c12 = sF11 ),
inference(definition_folding,[],[f45,f71,f88]) ).
fof(f45,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f211,plain,
( spl16_15
| spl16_16 ),
inference(avatar_split_clause,[],[f100,f208,f204]) ).
fof(f100,plain,
( sk_c12 = sF10
| sk_c11 = sF0 ),
inference(definition_folding,[],[f30,f85,f68]) ).
fof(f30,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f192,plain,
( spl16_8
| spl16_9
| spl16_10
| ~ spl16_2
| spl16_11
| spl16_12 ),
inference(avatar_split_clause,[],[f127,f190,f187,f150,f184,f181,f178]) ).
fof(f127,plain,
! [X3,X10,X8,X6,X7,X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X3,sk_c11)
| sk_c10 != sF5
| inverse(X8) != inverse(inverse(X10))
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,inverse(inverse(X10)))
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c11 != inverse(X7)
| sk_c11 != multiply(X6,sk_c12)
| sk_c10 != multiply(X7,sk_c11)
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != inverse(X6) ),
inference(definition_folding,[],[f67,f75]) ).
fof(f67,plain,
! [X3,X10,X8,X6,X7,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| inverse(X8) != inverse(inverse(X10))
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(inverse(inverse(X10)),sk_c11)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| inverse(X10) != multiply(X10,inverse(inverse(X10)))
| sk_c12 != inverse(X5)
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,inverse(inverse(X10))) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X10,X11,X8,X6,X7,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| inverse(X8) != inverse(X11)
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(inverse(X11),sk_c11)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X5,sk_c12))
| multiply(X10,inverse(X11)) != X11
| sk_c12 != inverse(X5)
| inverse(X10) != X11
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X11)) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X11,X8,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| multiply(X5,sk_c12) != X4
| inverse(X8) != inverse(X11)
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(inverse(X11),sk_c11)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,X4)
| multiply(X10,inverse(X11)) != X11
| sk_c12 != inverse(X5)
| inverse(X10) != X11
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,inverse(X11)) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| inverse(X11) != X9
| sk_c12 != inverse(X6)
| sk_c11 != multiply(X6,sk_c12)
| multiply(X5,sk_c12) != X4
| inverse(X8) != X9
| sk_c12 != multiply(X3,sk_c11)
| sk_c12 != multiply(X9,sk_c11)
| sk_c11 != inverse(X7)
| sk_c10 != multiply(X7,sk_c11)
| sk_c11 != multiply(sk_c12,X4)
| multiply(X10,X9) != X11
| sk_c12 != inverse(X5)
| inverse(X10) != X11
| sk_c11 != inverse(X3)
| sk_c12 != multiply(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f162,plain,
( spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f118,f159,f155]) ).
fof(f118,plain,
( sk_c12 = sF11
| sk_c12 = sF12 ),
inference(definition_folding,[],[f55,f88,f90]) ).
fof(f55,axiom,
( sk_c12 = inverse(sk_c2)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP318-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:45:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (11010)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (10996)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.51 % (11009)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (11018)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (11000)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (11001)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (10997)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (11011)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 % (11019)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (10999)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11013)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (11014)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (11003)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (11006)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (11002)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (10998)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (11012)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (11005)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (11025)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (11017)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (11004)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (11004)Instruction limit reached!
% 0.20/0.54 % (11004)------------------------------
% 0.20/0.54 % (11004)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11004)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11004)Termination reason: Unknown
% 0.20/0.54 % (11004)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (11004)Memory used [KB]: 5373
% 0.20/0.54 % (11004)Time elapsed: 0.003 s
% 0.20/0.54 % (11004)Instructions burned: 2 (million)
% 0.20/0.54 % (11004)------------------------------
% 0.20/0.54 % (11004)------------------------------
% 0.20/0.54 % (11020)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (11016)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.54 % (11003)Instruction limit reached!
% 0.20/0.54 % (11003)------------------------------
% 0.20/0.54 % (11003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (11003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (11003)Termination reason: Unknown
% 0.20/0.54 % (11003)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (11003)Memory used [KB]: 5628
% 0.20/0.54 % (11015)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (11003)Time elapsed: 0.097 s
% 0.20/0.54 % (11003)Instructions burned: 8 (million)
% 0.20/0.54 % (11003)------------------------------
% 0.20/0.54 % (11003)------------------------------
% 0.20/0.54 % (11021)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.51/0.54 % (11023)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.51/0.54 % (11022)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.51/0.54 % (11007)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.55 % (11008)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.55 TRYING [1]
% 1.51/0.55 TRYING [2]
% 1.51/0.55 % (11024)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.51/0.55 TRYING [1]
% 1.51/0.55 TRYING [2]
% 1.51/0.55 TRYING [3]
% 1.67/0.57 TRYING [3]
% 1.67/0.57 TRYING [4]
% 1.67/0.58 % (10998)Instruction limit reached!
% 1.67/0.58 % (10998)------------------------------
% 1.67/0.58 % (10998)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.58 TRYING [4]
% 1.67/0.59 % (10999)Instruction limit reached!
% 1.67/0.59 % (10999)------------------------------
% 1.67/0.59 % (10999)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59 % (10999)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (10999)Termination reason: Unknown
% 1.67/0.59 % (10999)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (10999)Memory used [KB]: 6524
% 1.67/0.59 % (10999)Time elapsed: 0.191 s
% 1.67/0.59 % (10999)Instructions burned: 51 (million)
% 1.67/0.59 % (10999)------------------------------
% 1.67/0.59 % (10999)------------------------------
% 1.67/0.59 % (10998)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59 % (10998)Termination reason: Unknown
% 1.67/0.59 % (10998)Termination phase: Saturation
% 1.67/0.59
% 1.67/0.59 % (10998)Memory used [KB]: 1151
% 1.67/0.59 % (10998)Time elapsed: 0.183 s
% 1.67/0.59 % (10998)Instructions burned: 38 (million)
% 1.67/0.59 % (10998)------------------------------
% 1.67/0.59 % (10998)------------------------------
% 1.67/0.60 TRYING [4]
% 1.67/0.60 % (11013)Instruction limit reached!
% 1.67/0.60 % (11013)------------------------------
% 1.67/0.60 % (11013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (11000)Instruction limit reached!
% 1.67/0.60 % (11000)------------------------------
% 1.67/0.60 % (11000)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (11000)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (11000)Termination reason: Unknown
% 1.67/0.60 % (11000)Termination phase: Saturation
% 1.67/0.60
% 1.67/0.60 % (11000)Memory used [KB]: 6268
% 1.67/0.60 % (11000)Time elapsed: 0.205 s
% 1.67/0.60 % (11000)Instructions burned: 51 (million)
% 1.67/0.60 % (11000)------------------------------
% 1.67/0.60 % (11000)------------------------------
% 1.67/0.61 % (11002)Instruction limit reached!
% 1.67/0.61 % (11002)------------------------------
% 1.67/0.61 % (11002)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (11005)Instruction limit reached!
% 1.67/0.61 % (11005)------------------------------
% 1.67/0.61 % (11005)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (11005)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11005)Termination reason: Unknown
% 1.67/0.61 % (11005)Termination phase: Saturation
% 1.67/0.61
% 1.67/0.61 % (11005)Memory used [KB]: 1407
% 1.67/0.61 % (11005)Time elapsed: 0.192 s
% 1.67/0.61 % (11005)Instructions burned: 51 (million)
% 1.67/0.61 % (11005)------------------------------
% 1.67/0.61 % (11005)------------------------------
% 1.67/0.61 % (11002)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11002)Termination reason: Unknown
% 1.67/0.61 % (11002)Termination phase: Finite model building constraint generation
% 1.67/0.61
% 1.67/0.61 % (11002)Memory used [KB]: 6908
% 1.67/0.61 % (11002)Time elapsed: 0.205 s
% 1.67/0.61 % (11002)Instructions burned: 53 (million)
% 1.67/0.61 % (11002)------------------------------
% 1.67/0.61 % (11002)------------------------------
% 1.67/0.61 % (11013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11013)Termination reason: Unknown
% 1.67/0.61 % (11013)Termination phase: Finite model building constraint generation
% 1.67/0.61
% 1.67/0.61 % (11013)Memory used [KB]: 7164
% 1.67/0.61 % (11013)Time elapsed: 0.136 s
% 1.67/0.61 % (11013)Instructions burned: 59 (million)
% 1.67/0.61 % (11013)------------------------------
% 1.67/0.61 % (11013)------------------------------
% 1.67/0.61 % (11006)Instruction limit reached!
% 1.67/0.61 % (11006)------------------------------
% 1.67/0.61 % (11006)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (11006)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11006)Termination reason: Unknown
% 1.67/0.61 % (11006)Termination phase: Saturation
% 1.67/0.61
% 1.67/0.61 % (11006)Memory used [KB]: 6140
% 1.67/0.61 % (11006)Time elapsed: 0.196 s
% 1.67/0.61 % (11006)Instructions burned: 50 (million)
% 1.67/0.61 % (11006)------------------------------
% 1.67/0.61 % (11006)------------------------------
% 1.67/0.61 % (11001)Instruction limit reached!
% 1.67/0.61 % (11001)------------------------------
% 1.67/0.61 % (11001)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (11001)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (11001)Termination reason: Unknown
% 1.67/0.61 % (11001)Termination phase: Saturation
% 1.67/0.61
% 1.67/0.61 % (11001)Memory used [KB]: 6012
% 1.67/0.61 % (11001)Time elapsed: 0.215 s
% 1.67/0.61 % (11001)Instructions burned: 48 (million)
% 1.67/0.61 % (11001)------------------------------
% 1.67/0.61 % (11001)------------------------------
% 1.67/0.61 % (10997)Instruction limit reached!
% 1.67/0.61 % (10997)------------------------------
% 1.67/0.61 % (10997)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (10997)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (10997)Termination reason: Unknown
% 1.67/0.61 % (10997)Termination phase: Saturation
% 1.67/0.61
% 1.67/0.61 % (10997)Memory used [KB]: 6140
% 1.67/0.61 % (10997)Time elapsed: 0.212 s
% 1.67/0.61 % (10997)Instructions burned: 50 (million)
% 1.67/0.61 % (10997)------------------------------
% 1.67/0.61 % (10997)------------------------------
% 1.67/0.62 TRYING [5]
% 2.16/0.63 % (11010)Instruction limit reached!
% 2.16/0.63 % (11010)------------------------------
% 2.16/0.63 % (11010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (11011)Instruction limit reached!
% 2.16/0.63 % (11011)------------------------------
% 2.16/0.63 % (11011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.63 % (11010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.63 % (11010)Termination reason: Unknown
% 2.16/0.63 % (11010)Termination phase: Saturation
% 2.16/0.63
% 2.16/0.63 % (11010)Memory used [KB]: 6524
% 2.16/0.63 % (11010)Time elapsed: 0.035 s
% 2.16/0.63 % (11010)Instructions burned: 68 (million)
% 2.16/0.63 % (11010)------------------------------
% 2.16/0.63 % (11010)------------------------------
% 2.16/0.64 % (11011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.64 % (11011)Termination reason: Unknown
% 2.16/0.64 % (11011)Termination phase: Saturation
% 2.16/0.64
% 2.16/0.64 % (11011)Memory used [KB]: 1791
% 2.16/0.64 % (11011)Time elapsed: 0.189 s
% 2.16/0.64 % (11011)Instructions burned: 76 (million)
% 2.16/0.64 % (11011)------------------------------
% 2.16/0.64 % (11011)------------------------------
% 2.16/0.65 % (11022)Instruction limit reached!
% 2.16/0.65 % (11022)------------------------------
% 2.16/0.65 % (11022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (11014)First to succeed.
% 2.16/0.65 % (11022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (11022)Termination reason: Unknown
% 2.16/0.65 % (11022)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (11022)Memory used [KB]: 6524
% 2.16/0.65 % (11022)Time elapsed: 0.040 s
% 2.16/0.65 % (11022)Instructions burned: 68 (million)
% 2.16/0.65 % (11022)------------------------------
% 2.16/0.65 % (11022)------------------------------
% 2.16/0.66 % (11014)Refutation found. Thanks to Tanya!
% 2.16/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.16/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.66 % (11014)------------------------------
% 2.16/0.66 % (11014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (11014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (11014)Termination reason: Refutation
% 2.16/0.66
% 2.16/0.66 % (11014)Memory used [KB]: 6268
% 2.16/0.66 % (11014)Time elapsed: 0.244 s
% 2.16/0.66 % (11014)Instructions burned: 55 (million)
% 2.16/0.66 % (11014)------------------------------
% 2.16/0.66 % (11014)------------------------------
% 2.16/0.66 % (10994)Success in time 0.3 s
%------------------------------------------------------------------------------