TSTP Solution File: GRP345-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP345-1 : 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 : n025.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 16:15:27 EDT 2022
% Result : Unsatisfiable 1.99s 0.61s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 62
% Syntax : Number of formulae : 365 ( 35 unt; 0 def)
% Number of atoms : 1355 ( 416 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1925 ( 935 ~; 971 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1976,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f94,f103,f108,f113,f118,f119,f125,f126,f127,f132,f133,f134,f135,f136,f137,f139,f140,f141,f142,f143,f144,f145,f146,f147,f148,f149,f162,f163,f343,f410,f440,f474,f505,f725,f794,f831,f1098,f1112,f1126,f1631,f1641,f1690,f1770,f1800,f1927,f1930]) ).
fof(f1930,plain,
( spl11_26
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f1929,f110,f100,f87,f82,f78,f1638]) ).
fof(f1638,plain,
( spl11_26
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_26])]) ).
fof(f78,plain,
( spl11_1
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f82,plain,
( spl11_2
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f87,plain,
( spl11_3
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f100,plain,
( spl11_6
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f110,plain,
( spl11_8
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1929,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1928,f1867]) ).
fof(f1867,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6 ),
inference(backward_demodulation,[],[f1821,f1865]) ).
fof(f1865,plain,
( identity = sk_c1
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1831,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f1831,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6 ),
inference(backward_demodulation,[],[f1668,f1688]) ).
fof(f1688,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1686,f2]) ).
fof(f1686,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c5)
| ~ spl11_1
| ~ spl11_6 ),
inference(superposition,[],[f188,f516]) ).
fof(f516,plain,
( sk_c5 = multiply(sk_c5,sk_c7)
| ~ spl11_1
| ~ spl11_6 ),
inference(backward_demodulation,[],[f512,f102]) ).
fof(f102,plain,
( sk_c7 = sF1
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f512,plain,
( sk_c5 = multiply(sk_c5,sF1)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f221,f80]) ).
fof(f80,plain,
( sk_c5 = sF0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f221,plain,
sk_c5 = multiply(sF0,sF1),
inference(forward_demodulation,[],[f205,f35]) ).
fof(f35,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f205,plain,
sk_c5 = multiply(inverse(sk_c6),sF1),
inference(superposition,[],[f188,f36]) ).
fof(f36,plain,
multiply(sk_c6,sk_c5) = sF1,
introduced(function_definition,[]) ).
fof(f188,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f176,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1668,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_2 ),
inference(superposition,[],[f188,f1145]) ).
fof(f1145,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f1082,f84]) ).
fof(f84,plain,
( sk_c7 = sF7
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f1082,plain,
identity = multiply(sF7,sk_c1),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f1821,plain,
( identity = inverse(sk_c1)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6 ),
inference(backward_demodulation,[],[f1146,f1688]) ).
fof(f1146,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f45,f84]) ).
fof(f1928,plain,
( sk_c6 = inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1144,f1921]) ).
fof(f1921,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1920,f1]) ).
fof(f1920,plain,
( sk_c2 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1658,f1871]) ).
fof(f1871,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1869,f1]) ).
fof(f1869,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f1853,f1865]) ).
fof(f1853,plain,
( sk_c5 = multiply(sk_c1,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f1819,f1]) ).
fof(f1819,plain,
( multiply(identity,sk_c5) = multiply(sk_c1,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6 ),
inference(backward_demodulation,[],[f538,f1688]) ).
fof(f538,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c1,sk_c7)
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f232,f102]) ).
fof(f232,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c1,sF1)
| ~ spl11_3 ),
inference(superposition,[],[f183,f36]) ).
fof(f183,plain,
( ! [X14] : multiply(sk_c7,X14) = multiply(sk_c1,multiply(sk_c6,X14))
| ~ spl11_3 ),
inference(superposition,[],[f3,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f53,f89]) ).
fof(f89,plain,
( sk_c7 = sF10
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f53,plain,
multiply(sk_c1,sk_c6) = sF10,
introduced(function_definition,[]) ).
fof(f1658,plain,
( sk_c2 = multiply(sk_c5,identity)
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1655,f511]) ).
fof(f511,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f35,f80]) ).
fof(f1655,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl11_8 ),
inference(superposition,[],[f188,f1143]) ).
fof(f1143,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f710,f112]) ).
fof(f112,plain,
( sk_c6 = sF5
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f710,plain,
identity = multiply(sF5,sk_c2),
inference(superposition,[],[f2,f42]) ).
fof(f42,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f1144,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f42,f112]) ).
fof(f1927,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_6
| spl11_25 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1926,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6
| spl11_25 ),
inference(subsumption_resolution,[],[f1925,f1867]) ).
fof(f1925,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_6
| spl11_25 ),
inference(backward_demodulation,[],[f1919,f1867]) ).
fof(f1919,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_6
| spl11_25 ),
inference(forward_demodulation,[],[f1636,f1688]) ).
fof(f1636,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl11_25 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1634,plain,
( spl11_25
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_25])]) ).
fof(f1800,plain,
( ~ spl11_1
| ~ spl11_6
| spl11_10
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f1799]) ).
fof(f1799,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| spl11_10
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f1688,f1790]) ).
fof(f1790,plain,
( identity != sk_c7
| spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f123,f1786]) ).
fof(f1786,plain,
( identity = sF8
| ~ spl11_18 ),
inference(backward_demodulation,[],[f47,f452]) ).
fof(f452,plain,
( identity = inverse(sk_c3)
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl11_18
<=> identity = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f47,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f123,plain,
( sk_c7 != sF8
| spl11_10 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl11_10
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f1770,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| ~ spl11_18
| spl11_26 ),
inference(avatar_contradiction_clause,[],[f1769]) ).
fof(f1769,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| ~ spl11_18
| spl11_26 ),
inference(subsumption_resolution,[],[f1768,f1640]) ).
fof(f1640,plain,
( identity != sk_c6
| spl11_26 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1768,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f1713,f1]) ).
fof(f1713,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f1569,f1696]) ).
fof(f1696,plain,
( identity = sk_c7
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f524,f452]) ).
fof(f524,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f47,f124]) ).
fof(f124,plain,
( sk_c7 = sF8
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f1569,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f861,f84]) ).
fof(f861,plain,
( sk_c6 = multiply(sF7,sk_c7)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f210,f45]) ).
fof(f210,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| ~ spl11_3 ),
inference(superposition,[],[f188,f166]) ).
fof(f1690,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| spl11_18 ),
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1689,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_10
| spl11_18 ),
inference(subsumption_resolution,[],[f1688,f1587]) ).
fof(f1587,plain,
( identity != sk_c7
| ~ spl11_10
| spl11_18 ),
inference(superposition,[],[f453,f524]) ).
fof(f453,plain,
( identity != inverse(sk_c3)
| spl11_18 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f1641,plain,
( ~ spl11_25
| ~ spl11_26
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f1608,f160,f1638,f1634]) ).
fof(f160,plain,
( spl11_15
<=> ! [X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1608,plain,
( identity != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_15 ),
inference(superposition,[],[f161,f2]) ).
fof(f161,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f1631,plain,
( ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
fof(f1630,plain,
( $false
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1611,f524]) ).
fof(f1611,plain,
( sk_c7 != inverse(sk_c3)
| ~ spl11_7
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f1610]) ).
fof(f1610,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c3)
| ~ spl11_7
| ~ spl11_15 ),
inference(superposition,[],[f161,f537]) ).
fof(f537,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f39,f107]) ).
fof(f107,plain,
( sk_c6 = sF3
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl11_7
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f39,plain,
multiply(sk_c3,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f1126,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1125,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1120,f1019]) ).
fof(f1019,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_20 ),
inference(backward_demodulation,[],[f934,f1013]) ).
fof(f1013,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1012,f992]) ).
fof(f992,plain,
( identity = multiply(sk_c6,identity)
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f534,f501]) ).
fof(f501,plain,
( identity = sk_c4
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl11_20
<=> identity = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f534,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f171,f93]) ).
fof(f93,plain,
( sk_c6 = sF9
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_4
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f171,plain,
identity = multiply(sF9,sk_c4),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f1012,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f1009,f1011]) ).
fof(f1011,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f511,f929]) ).
fof(f929,plain,
( sk_c6 = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f558,f767]) ).
fof(f767,plain,
( ! [X1] : multiply(sk_c5,X1) = X1
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f560,f508]) ).
fof(f508,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl11_1 ),
inference(forward_demodulation,[],[f190,f80]) ).
fof(f190,plain,
! [X0] : multiply(sF0,multiply(sk_c6,X0)) = X0,
inference(forward_demodulation,[],[f189,f1]) ).
fof(f189,plain,
! [X0] : multiply(identity,X0) = multiply(sF0,multiply(sk_c6,X0)),
inference(superposition,[],[f3,f169]) ).
fof(f169,plain,
identity = multiply(sF0,sk_c6),
inference(superposition,[],[f2,f35]) ).
fof(f560,plain,
( ! [X1] : multiply(sk_c5,multiply(sk_c6,X1)) = multiply(sk_c5,X1)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f519,f546]) ).
fof(f546,plain,
( sk_c6 = sk_c7
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f515,f543]) ).
fof(f543,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl11_4
| ~ spl11_9 ),
inference(backward_demodulation,[],[f531,f117]) ).
fof(f117,plain,
( sk_c5 = sF6
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl11_9
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f531,plain,
( sk_c6 = multiply(sk_c6,sF6)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f217,f93]) ).
fof(f217,plain,
sk_c6 = multiply(sF9,sF6),
inference(forward_demodulation,[],[f209,f51]) ).
fof(f209,plain,
sk_c6 = multiply(inverse(sk_c4),sF6),
inference(superposition,[],[f188,f44]) ).
fof(f44,plain,
multiply(sk_c4,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f515,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f36,f102]) ).
fof(f519,plain,
( ! [X1] : multiply(sk_c5,multiply(sk_c7,X1)) = multiply(sk_c5,X1)
| ~ spl11_1
| ~ spl11_6 ),
inference(backward_demodulation,[],[f506,f102]) ).
fof(f506,plain,
( ! [X1] : multiply(sk_c5,multiply(sF1,X1)) = multiply(sk_c5,X1)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f256,f80]) ).
fof(f256,plain,
! [X1] : multiply(sF0,multiply(sF1,X1)) = multiply(sk_c5,X1),
inference(forward_demodulation,[],[f254,f35]) ).
fof(f254,plain,
! [X1] : multiply(inverse(sk_c6),multiply(sF1,X1)) = multiply(sk_c5,X1),
inference(superposition,[],[f188,f178]) ).
fof(f178,plain,
! [X9] : multiply(sk_c6,multiply(sk_c5,X9)) = multiply(sF1,X9),
inference(superposition,[],[f3,f36]) ).
fof(f558,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f516,f546]) ).
fof(f1009,plain,
( sk_c6 = multiply(inverse(sk_c6),identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f509,f929]) ).
fof(f509,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f212,f80]) ).
fof(f212,plain,
sk_c6 = multiply(inverse(sF0),identity),
inference(superposition,[],[f188,f169]) ).
fof(f934,plain,
( sk_c6 = inverse(identity)
| ~ spl11_4
| ~ spl11_20 ),
inference(forward_demodulation,[],[f535,f501]) ).
fof(f535,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f51,f93]) ).
fof(f1120,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1116]) ).
fof(f1116,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(superposition,[],[f1115,f1]) ).
fof(f1115,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1114,f1013]) ).
fof(f1114,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1113,f1013]) ).
fof(f1113,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f152,f1017]) ).
fof(f1017,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_20 ),
inference(backward_demodulation,[],[f929,f1013]) ).
fof(f152,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl11_12
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f1112,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1111]) ).
fof(f1111,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1110,f1019]) ).
fof(f1110,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1106,f1019]) ).
fof(f1106,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1104]) ).
fof(f1104,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(superposition,[],[f1101,f2]) ).
fof(f1101,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1100,f1043]) ).
fof(f1043,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_20 ),
inference(forward_demodulation,[],[f546,f1013]) ).
fof(f1100,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1099,f1043]) ).
fof(f1099,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13
| ~ spl11_20 ),
inference(forward_demodulation,[],[f155,f1013]) ).
fof(f155,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl11_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1098,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1092,f1019]) ).
fof(f1092,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1088]) ).
fof(f1088,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(superposition,[],[f1036,f1]) ).
fof(f1036,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1035,f1013]) ).
fof(f1035,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(forward_demodulation,[],[f1034,f1017]) ).
fof(f1034,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14
| ~ spl11_20 ),
inference(forward_demodulation,[],[f158,f1013]) ).
fof(f158,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl11_14
<=> ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f831,plain,
( ~ spl11_1
| ~ spl11_4
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f830,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f829,f799]) ).
fof(f799,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f778,f798]) ).
fof(f798,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f452,f796]) ).
fof(f796,plain,
( identity = sk_c3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f795,f2]) ).
fof(f795,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f561,f770]) ).
fof(f770,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f564,f452]) ).
fof(f564,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f524,f546]) ).
fof(f561,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f521,f546]) ).
fof(f521,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f213,f124]) ).
fof(f213,plain,
sk_c3 = multiply(inverse(sF8),identity),
inference(superposition,[],[f188,f170]) ).
fof(f170,plain,
identity = multiply(sF8,sk_c3),
inference(superposition,[],[f2,f47]) ).
fof(f778,plain,
( sk_c5 = inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f511,f770]) ).
fof(f829,plain,
( identity != sk_c5
| ~ spl11_4
| spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f97,f813]) ).
fof(f813,plain,
( identity = sF2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f790,f812]) ).
fof(f812,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f546,f770]) ).
fof(f790,plain,
( sk_c7 = sF2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(forward_demodulation,[],[f771,f1]) ).
fof(f771,plain,
( multiply(identity,sk_c7) = sF2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_10
| ~ spl11_18 ),
inference(backward_demodulation,[],[f37,f770]) ).
fof(f37,plain,
multiply(sk_c6,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f97,plain,
( sk_c5 != sF2
| spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl11_5
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f794,plain,
( spl11_20
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f793,f115,f100,f91,f78,f500]) ).
fof(f793,plain,
( identity = sk_c4
| ~ spl11_1
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f536,f767]) ).
fof(f536,plain,
( sk_c4 = multiply(sk_c5,identity)
| ~ spl11_1
| ~ spl11_4 ),
inference(forward_demodulation,[],[f532,f511]) ).
fof(f532,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f214,f93]) ).
fof(f214,plain,
sk_c4 = multiply(inverse(sF9),identity),
inference(superposition,[],[f188,f171]) ).
fof(f725,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f724]) ).
fof(f724,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f719,f610]) ).
fof(f610,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f580,f603]) ).
fof(f603,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f582,f1]) ).
fof(f582,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f520,f570]) ).
fof(f570,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(forward_demodulation,[],[f555,f2]) ).
fof(f555,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f245,f546]) ).
fof(f245,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_2
| ~ spl11_3 ),
inference(superposition,[],[f188,f219]) ).
fof(f219,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f210,f167]) ).
fof(f167,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f45,f84]) ).
fof(f520,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_6 ),
inference(backward_demodulation,[],[f244,f516]) ).
fof(f244,plain,
( multiply(sk_c5,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f177,f219]) ).
fof(f177,plain,
( ! [X8] : multiply(sk_c5,X8) = multiply(sk_c6,multiply(sk_c7,X8))
| ~ spl11_5 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl11_5 ),
inference(backward_demodulation,[],[f37,f98]) ).
fof(f98,plain,
( sk_c5 = sF2
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f580,plain,
( sk_c5 = inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9 ),
inference(backward_demodulation,[],[f511,f570]) ).
fof(f719,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f715]) ).
fof(f715,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(superposition,[],[f612,f1]) ).
fof(f612,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(backward_demodulation,[],[f596,f603]) ).
fof(f596,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(forward_demodulation,[],[f575,f570]) ).
fof(f575,plain,
( ! [X6] :
( sk_c5 != multiply(X6,identity)
| sk_c6 != inverse(X6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_14 ),
inference(backward_demodulation,[],[f158,f570]) ).
fof(f505,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f493,f340]) ).
fof(f340,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f310,f331]) ).
fof(f331,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f218,f329]) ).
fof(f329,plain,
( ! [X0] : multiply(sF0,X0) = X0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f200,f306]) ).
fof(f306,plain,
( inverse(identity) = sF0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f35,f305]) ).
fof(f305,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f303,f169]) ).
fof(f303,plain,
( sk_c6 = multiply(sF0,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f265,f290]) ).
fof(f290,plain,
( sk_c6 = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f222,f289]) ).
fof(f289,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f264,f266]) ).
fof(f266,plain,
( sk_c6 = sk_c7
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f220,f265]) ).
fof(f220,plain,
( sk_c7 = multiply(sF0,sk_c5)
| ~ spl11_5 ),
inference(forward_demodulation,[],[f204,f35]) ).
fof(f204,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_5 ),
inference(superposition,[],[f188,f168]) ).
fof(f264,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f261,f239]) ).
fof(f239,plain,
( sk_c6 = multiply(sk_c1,sk_c5)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f231,f219]) ).
fof(f231,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c1,sk_c5)
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f183,f168]) ).
fof(f261,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c1,sk_c5)
| ~ spl11_3
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f183,f222]) ).
fof(f222,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f211,f165]) ).
fof(f165,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f42,f112]) ).
fof(f211,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl11_11 ),
inference(superposition,[],[f188,f164]) ).
fof(f164,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f40,f131]) ).
fof(f131,plain,
( sk_c6 = sF4
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl11_11
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f40,plain,
multiply(sk_c2,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f265,plain,
( sk_c6 = multiply(sF0,sk_c5)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f262,f35]) ).
fof(f262,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f188,f222]) ).
fof(f200,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f188,f1]) ).
fof(f218,plain,
( sk_c2 = multiply(sF0,identity)
| ~ spl11_8 ),
inference(forward_demodulation,[],[f206,f35]) ).
fof(f206,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl11_8 ),
inference(superposition,[],[f188,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl11_8 ),
inference(superposition,[],[f2,f165]) ).
fof(f310,plain,
( identity = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f165,f305]) ).
fof(f493,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f488]) ).
fof(f488,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f478,f1]) ).
fof(f478,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f477,f320]) ).
fof(f320,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f290,f305]) ).
fof(f477,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c5 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f476,f305]) ).
fof(f476,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f158,f305]) ).
fof(f474,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f467,f340]) ).
fof(f467,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f461,f1]) ).
fof(f461,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f460,f318]) ).
fof(f318,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f266,f305]) ).
fof(f460,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f459,f318]) ).
fof(f459,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f155,f305]) ).
fof(f440,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f434,f340]) ).
fof(f434,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f429]) ).
fof(f429,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f416,f1]) ).
fof(f416,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f415,f305]) ).
fof(f415,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f414,f305]) ).
fof(f414,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f152,f320]) ).
fof(f410,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f408,f318]) ).
fof(f408,plain,
( identity != sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f101,f356]) ).
fof(f356,plain,
( identity = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f355,f1]) ).
fof(f355,plain,
( multiply(identity,identity) = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f291,f305]) ).
fof(f291,plain,
( multiply(sk_c6,sk_c6) = sF1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f36,f290]) ).
fof(f101,plain,
( sk_c7 != sF1
| spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f343,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f342,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f341,f321]) ).
fof(f321,plain,
( identity != sF0
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f292,f305]) ).
fof(f292,plain,
( sk_c6 != sF0
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f79,f290]) ).
fof(f79,plain,
( sk_c5 != sF0
| spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f341,plain,
( identity = sF0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f306,f340]) ).
fof(f163,plain,
( spl11_5
| spl11_9 ),
inference(avatar_split_clause,[],[f56,f115,f96]) ).
fof(f56,plain,
( sk_c5 = sF6
| sk_c5 = sF2 ),
inference(definition_folding,[],[f8,f37,f44]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f162,plain,
( ~ spl11_1
| spl11_12
| ~ spl11_5
| spl11_13
| spl11_14
| ~ spl11_6
| spl11_15 ),
inference(avatar_split_clause,[],[f38,f160,f100,f157,f154,f96,f151,f78]) ).
fof(f38,plain,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c7 != sF1
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != sF2
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != sF0 ),
inference(definition_folding,[],[f34,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c5 != multiply(X6,sk_c6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f149,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f62,f100,f82]) ).
fof(f62,plain,
( sk_c7 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f10,f45,f36]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f148,plain,
( spl11_5
| spl11_1 ),
inference(avatar_split_clause,[],[f72,f78,f96]) ).
fof(f72,plain,
( sk_c5 = sF0
| sk_c5 = sF2 ),
inference(definition_folding,[],[f7,f35,f37]) ).
fof(f7,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f147,plain,
( spl11_11
| spl11_9 ),
inference(avatar_split_clause,[],[f66,f115,f129]) ).
fof(f66,plain,
( sk_c5 = sF6
| sk_c6 = sF4 ),
inference(definition_folding,[],[f32,f40,f44]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f146,plain,
( spl11_5
| spl11_4 ),
inference(avatar_split_clause,[],[f52,f91,f96]) ).
fof(f52,plain,
( sk_c6 = sF9
| sk_c5 = sF2 ),
inference(definition_folding,[],[f9,f37,f51]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f145,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f64,f129,f122]) ).
fof(f64,plain,
( sk_c6 = sF4
| sk_c7 = sF8 ),
inference(definition_folding,[],[f30,f40,f47]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f144,plain,
( spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f46,f115,f82]) ).
fof(f46,plain,
( sk_c5 = sF6
| sk_c7 = sF7 ),
inference(definition_folding,[],[f14,f45,f44]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f143,plain,
( spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f48,f122,f110]) ).
fof(f48,plain,
( sk_c7 = sF8
| sk_c6 = sF5 ),
inference(definition_folding,[],[f24,f42,f47]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f142,plain,
( spl11_1
| spl11_8 ),
inference(avatar_split_clause,[],[f43,f110,f78]) ).
fof(f43,plain,
( sk_c6 = sF5
| sk_c5 = sF0 ),
inference(definition_folding,[],[f25,f35,f42]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f141,plain,
( spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f49,f122,f82]) ).
fof(f49,plain,
( sk_c7 = sF8
| sk_c7 = sF7 ),
inference(definition_folding,[],[f12,f45,f47]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f140,plain,
( spl11_3
| spl11_9 ),
inference(avatar_split_clause,[],[f69,f115,f87]) ).
fof(f69,plain,
( sk_c5 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f20,f53,f44]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f139,plain,
( spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f50,f105,f82]) ).
fof(f50,plain,
( sk_c6 = sF3
| sk_c7 = sF7 ),
inference(definition_folding,[],[f11,f45,f39]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f137,plain,
( spl11_4
| spl11_8 ),
inference(avatar_split_clause,[],[f61,f110,f91]) ).
fof(f61,plain,
( sk_c6 = sF5
| sk_c6 = sF9 ),
inference(definition_folding,[],[f27,f51,f42]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f136,plain,
( spl11_6
| spl11_11 ),
inference(avatar_split_clause,[],[f65,f129,f100]) ).
fof(f65,plain,
( sk_c6 = sF4
| sk_c7 = sF1 ),
inference(definition_folding,[],[f28,f40,f36]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f135,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f55,f87,f78]) ).
fof(f55,plain,
( sk_c7 = sF10
| sk_c5 = sF0 ),
inference(definition_folding,[],[f19,f35,f53]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f134,plain,
( spl11_11
| spl11_7 ),
inference(avatar_split_clause,[],[f41,f105,f129]) ).
fof(f41,plain,
( sk_c6 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f29,f40,f39]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f133,plain,
( spl11_1
| spl11_11 ),
inference(avatar_split_clause,[],[f67,f129,f78]) ).
fof(f67,plain,
( sk_c6 = sF4
| sk_c5 = sF0 ),
inference(definition_folding,[],[f31,f35,f40]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f132,plain,
( spl11_4
| spl11_11 ),
inference(avatar_split_clause,[],[f68,f129,f91]) ).
fof(f68,plain,
( sk_c6 = sF4
| sk_c6 = sF9 ),
inference(definition_folding,[],[f33,f51,f40]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f127,plain,
( spl11_3
| spl11_6 ),
inference(avatar_split_clause,[],[f59,f100,f87]) ).
fof(f59,plain,
( sk_c7 = sF1
| sk_c7 = sF10 ),
inference(definition_folding,[],[f16,f53,f36]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f126,plain,
( spl11_10
| spl11_5 ),
inference(avatar_split_clause,[],[f60,f96,f122]) ).
fof(f60,plain,
( sk_c5 = sF2
| sk_c7 = sF8 ),
inference(definition_folding,[],[f6,f37,f47]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f125,plain,
( spl11_3
| spl11_10 ),
inference(avatar_split_clause,[],[f57,f122,f87]) ).
fof(f57,plain,
( sk_c7 = sF8
| sk_c7 = sF10 ),
inference(definition_folding,[],[f18,f47,f53]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f119,plain,
( spl11_2
| spl11_4 ),
inference(avatar_split_clause,[],[f71,f91,f82]) ).
fof(f71,plain,
( sk_c6 = sF9
| sk_c7 = sF7 ),
inference(definition_folding,[],[f15,f45,f51]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f118,plain,
( spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f75,f115,f110]) ).
fof(f75,plain,
( sk_c5 = sF6
| sk_c6 = sF5 ),
inference(definition_folding,[],[f26,f44,f42]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f113,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f73,f100,f110]) ).
fof(f73,plain,
( sk_c7 = sF1
| sk_c6 = sF5 ),
inference(definition_folding,[],[f22,f36,f42]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f108,plain,
( spl11_3
| spl11_7 ),
inference(avatar_split_clause,[],[f58,f105,f87]) ).
fof(f58,plain,
( sk_c6 = sF3
| sk_c7 = sF10 ),
inference(definition_folding,[],[f17,f39,f53]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f103,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f70,f100,f96]) ).
fof(f70,plain,
( sk_c7 = sF1
| sk_c5 = sF2 ),
inference(definition_folding,[],[f4,f37,f36]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f94,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f54,f91,f87]) ).
fof(f54,plain,
( sk_c6 = sF9
| sk_c7 = sF10 ),
inference(definition_folding,[],[f21,f51,f53]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f74,f82,f78]) ).
fof(f74,plain,
( sk_c7 = sF7
| sk_c5 = sF0 ),
inference(definition_folding,[],[f13,f45,f35]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP345-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n025.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 22:34:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (9929)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)
% 0.19/0.49 % (9938)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)
% 0.19/0.49 % (9928)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)
% 0.19/0.49 % (9938)Instruction limit reached!
% 0.19/0.49 % (9938)------------------------------
% 0.19/0.49 % (9938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9927)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)
% 0.19/0.50 % (9936)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)
% 0.19/0.50 % (9927)Instruction limit reached!
% 0.19/0.50 % (9927)------------------------------
% 0.19/0.50 % (9927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9927)Termination reason: Unknown
% 0.19/0.50 % (9927)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (9927)Memory used [KB]: 5884
% 0.19/0.50 % (9927)Time elapsed: 0.003 s
% 0.19/0.50 % (9927)Instructions burned: 4 (million)
% 0.19/0.50 % (9927)------------------------------
% 0.19/0.50 % (9927)------------------------------
% 0.19/0.50 % (9954)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)
% 0.19/0.50 % (9931)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)
% 0.19/0.50 % (9935)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)
% 0.19/0.50 % (9954)Refutation not found, incomplete strategy% (9954)------------------------------
% 0.19/0.50 % (9954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9925)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (9954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9954)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (9954)Memory used [KB]: 5884
% 0.19/0.50 % (9954)Time elapsed: 0.108 s
% 0.19/0.50 % (9954)Instructions burned: 4 (million)
% 0.19/0.50 % (9954)------------------------------
% 0.19/0.50 % (9954)------------------------------
% 0.19/0.50 % (9940)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)
% 0.19/0.50 % (9955)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)
% 0.19/0.50 % (9935)Instruction limit reached!
% 0.19/0.50 % (9935)------------------------------
% 0.19/0.50 % (9935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9935)Termination reason: Unknown
% 0.19/0.50 % (9935)Termination phase: Saturation
% 0.19/0.50
% 0.19/0.50 % (9935)Memory used [KB]: 5884
% 0.19/0.50 % (9935)Time elapsed: 0.118 s
% 0.19/0.50 % (9935)Instructions burned: 6 (million)
% 0.19/0.50 % (9935)------------------------------
% 0.19/0.50 % (9935)------------------------------
% 0.19/0.50 % (9928)Refutation not found, incomplete strategy% (9928)------------------------------
% 0.19/0.50 % (9928)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (9928)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (9928)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (9928)Memory used [KB]: 5884
% 0.19/0.50 % (9928)Time elapsed: 0.116 s
% 0.19/0.50 % (9928)Instructions burned: 4 (million)
% 0.19/0.50 % (9928)------------------------------
% 0.19/0.50 % (9928)------------------------------
% 0.19/0.51 % (9953)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 % (9937)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)
% 0.19/0.51 % (9937)Instruction limit reached!
% 0.19/0.51 % (9937)------------------------------
% 0.19/0.51 % (9937)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9945)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)
% 0.19/0.51 % (9942)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.51 % (9945)Instruction limit reached!
% 0.19/0.51 % (9945)------------------------------
% 0.19/0.51 % (9945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (9949)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)
% 0.19/0.51 % (9945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9945)Termination reason: Unknown
% 0.19/0.51 % (9945)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9945)Memory used [KB]: 1407
% 0.19/0.51 % (9945)Time elapsed: 0.121 s
% 0.19/0.51 % (9945)Instructions burned: 6 (million)
% 0.19/0.51 % (9945)------------------------------
% 0.19/0.51 % (9945)------------------------------
% 0.19/0.51 % (9947)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)
% 0.19/0.51 % (9937)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9937)Termination reason: Unknown
% 0.19/0.51 % (9937)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9937)Memory used [KB]: 5884
% 0.19/0.51 % (9937)Time elapsed: 0.121 s
% 0.19/0.51 % (9937)Instructions burned: 5 (million)
% 0.19/0.51 % (9937)------------------------------
% 0.19/0.51 % (9937)------------------------------
% 0.19/0.51 % (9938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (9938)Termination reason: Unknown
% 0.19/0.51 % (9938)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (9938)Memory used [KB]: 5884
% 0.19/0.51 % (9938)Time elapsed: 0.004 s
% 0.19/0.51 % (9938)Instructions burned: 4 (million)
% 0.19/0.51 % (9938)------------------------------
% 0.19/0.51 % (9938)------------------------------
% 0.19/0.51 % (9948)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)
% 0.19/0.51 % (9952)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)
% 0.19/0.52 % (9939)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)
% 0.19/0.52 % (9929)Instruction limit reached!
% 0.19/0.52 % (9929)------------------------------
% 0.19/0.52 % (9929)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9929)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9929)Termination reason: Unknown
% 0.19/0.52 % (9929)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9929)Memory used [KB]: 6652
% 0.19/0.52 % (9929)Time elapsed: 0.120 s
% 0.19/0.52 % (9929)Instructions burned: 34 (million)
% 0.19/0.52 % (9929)------------------------------
% 0.19/0.52 % (9929)------------------------------
% 0.19/0.52 % (9933)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)
% 0.19/0.52 % (9926)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 % (9933)Instruction limit reached!
% 0.19/0.52 % (9933)------------------------------
% 0.19/0.52 % (9933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9933)Termination reason: Unknown
% 0.19/0.52 % (9933)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9933)Memory used [KB]: 5884
% 0.19/0.52 % (9933)Time elapsed: 0.002 s
% 0.19/0.52 % (9933)Instructions burned: 3 (million)
% 0.19/0.52 % (9933)------------------------------
% 0.19/0.52 % (9933)------------------------------
% 0.19/0.52 % (9948)Refutation not found, incomplete strategy% (9948)------------------------------
% 0.19/0.52 % (9948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9948)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (9948)Memory used [KB]: 5884
% 0.19/0.52 % (9948)Time elapsed: 0.093 s
% 0.19/0.52 % (9948)Instructions burned: 3 (million)
% 0.19/0.52 % (9948)------------------------------
% 0.19/0.52 % (9948)------------------------------
% 0.19/0.52 % (9940)Instruction limit reached!
% 0.19/0.52 % (9940)------------------------------
% 0.19/0.52 % (9940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9940)Termination reason: Unknown
% 0.19/0.52 % (9940)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (9940)Memory used [KB]: 6012
% 0.19/0.52 % (9940)Time elapsed: 0.005 s
% 0.19/0.52 % (9940)Instructions burned: 6 (million)
% 0.19/0.52 % (9940)------------------------------
% 0.19/0.52 % (9940)------------------------------
% 0.19/0.52 % (9932)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)
% 0.19/0.53 % (9941)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)
% 0.19/0.53 % (9932)Refutation not found, incomplete strategy% (9932)------------------------------
% 0.19/0.53 % (9932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9942)Instruction limit reached!
% 0.19/0.53 % (9942)------------------------------
% 0.19/0.53 % (9942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9942)Termination reason: Unknown
% 0.19/0.53 % (9942)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (9942)Memory used [KB]: 6012
% 0.19/0.53 % (9942)Time elapsed: 0.109 s
% 0.19/0.53 % (9944)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)
% 0.19/0.53 % (9942)Instructions burned: 8 (million)
% 0.19/0.53 % (9942)------------------------------
% 0.19/0.53 % (9942)------------------------------
% 0.19/0.53 % (9952)Refutation not found, incomplete strategy% (9952)------------------------------
% 0.19/0.53 % (9952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9930)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (9946)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 % (9951)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 % (9934)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 % (9952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9952)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (9952)Memory used [KB]: 5884
% 0.19/0.54 % (9952)Time elapsed: 0.140 s
% 0.19/0.54 % (9952)Instructions burned: 3 (million)
% 0.19/0.54 % (9952)------------------------------
% 0.19/0.54 % (9952)------------------------------
% 0.19/0.54 % (9932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9932)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (9932)Memory used [KB]: 5884
% 0.19/0.54 % (9932)Time elapsed: 0.109 s
% 0.19/0.54 % (9932)Instructions burned: 4 (million)
% 0.19/0.54 % (9932)------------------------------
% 0.19/0.54 % (9932)------------------------------
% 0.19/0.54 % (9944)Instruction limit reached!
% 0.19/0.54 % (9944)------------------------------
% 0.19/0.54 % (9944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9944)Termination reason: Unknown
% 0.19/0.54 % (9944)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (9944)Memory used [KB]: 6012
% 0.19/0.54 % (9944)Time elapsed: 0.149 s
% 0.19/0.54 % (9944)Instructions burned: 7 (million)
% 0.19/0.54 % (9944)------------------------------
% 0.19/0.54 % (9944)------------------------------
% 0.19/0.54 % (9946)Refutation not found, incomplete strategy% (9946)------------------------------
% 0.19/0.54 % (9946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9951)Refutation not found, incomplete strategy% (9951)------------------------------
% 0.19/0.54 % (9951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9951)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (9951)Memory used [KB]: 6012
% 0.19/0.54 % (9951)Time elapsed: 0.151 s
% 0.19/0.54 % (9951)Instructions burned: 10 (million)
% 0.19/0.54 % (9951)------------------------------
% 0.19/0.54 % (9951)------------------------------
% 0.19/0.54 % (9946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9946)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (9946)Memory used [KB]: 5884
% 0.19/0.54 % (9946)Time elapsed: 0.149 s
% 0.19/0.54 % (9946)Instructions burned: 3 (million)
% 0.19/0.54 % (9946)------------------------------
% 0.19/0.54 % (9946)------------------------------
% 0.19/0.54 % (9943)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)
% 0.19/0.54 % (9941)Instruction limit reached!
% 0.19/0.54 % (9941)------------------------------
% 0.19/0.54 % (9941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (9941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (9941)Termination reason: Unknown
% 0.19/0.54 % (9941)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (9941)Memory used [KB]: 5884
% 0.19/0.54 % (9941)Time elapsed: 0.158 s
% 0.19/0.54 % (9941)Instructions burned: 3 (million)
% 0.19/0.54 % (9941)------------------------------
% 0.19/0.54 % (9941)------------------------------
% 0.19/0.55 % (9939)Instruction limit reached!
% 0.19/0.55 % (9939)------------------------------
% 0.19/0.55 % (9939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (9939)Termination reason: Unknown
% 0.19/0.55 % (9939)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (9939)Memory used [KB]: 1663
% 0.19/0.55 % (9939)Time elapsed: 0.141 s
% 0.19/0.55 % (9939)Instructions burned: 30 (million)
% 0.19/0.55 % (9939)------------------------------
% 0.19/0.55 % (9939)------------------------------
% 0.19/0.55 % (9936)Instruction limit reached!
% 0.19/0.55 % (9936)------------------------------
% 0.19/0.55 % (9936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (9936)Termination reason: Unknown
% 0.19/0.55 % (9936)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (9936)Memory used [KB]: 6268
% 0.19/0.55 % (9936)Time elapsed: 0.131 s
% 0.19/0.55 % (9936)Instructions burned: 24 (million)
% 0.19/0.55 % (9936)------------------------------
% 0.19/0.55 % (9936)------------------------------
% 0.19/0.55 % (9930)Instruction limit reached!
% 0.19/0.55 % (9930)------------------------------
% 0.19/0.55 % (9930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (9930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (9930)Termination reason: Unknown
% 0.19/0.55 % (9930)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (9930)Memory used [KB]: 6140
% 0.19/0.55 % (9930)Time elapsed: 0.148 s
% 0.19/0.55 % (9930)Instructions burned: 25 (million)
% 0.19/0.55 % (9930)------------------------------
% 0.19/0.55 % (9930)------------------------------
% 0.19/0.56 % (9943)Refutation not found, incomplete strategy% (9943)------------------------------
% 0.19/0.56 % (9943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (9943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (9943)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (9943)Memory used [KB]: 10490
% 0.19/0.56 % (9943)Time elapsed: 0.152 s
% 0.19/0.56 % (9943)Instructions burned: 6 (million)
% 0.19/0.56 % (9943)------------------------------
% 0.19/0.56 % (9943)------------------------------
% 1.82/0.57 % (9931)Instruction limit reached!
% 1.82/0.57 % (9931)------------------------------
% 1.82/0.57 % (9931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.57 % (9931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.57 % (9931)Termination reason: Unknown
% 1.82/0.57 % (9931)Termination phase: Saturation
% 1.82/0.57
% 1.82/0.57 % (9931)Memory used [KB]: 1535
% 1.82/0.57 % (9931)Time elapsed: 0.189 s
% 1.82/0.57 % (9931)Instructions burned: 50 (million)
% 1.82/0.57 % (9931)------------------------------
% 1.82/0.57 % (9931)------------------------------
% 1.82/0.58 % (9949)Instruction limit reached!
% 1.82/0.58 % (9949)------------------------------
% 1.82/0.58 % (9949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.58 % (9949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.58 % (9949)Termination reason: Unknown
% 1.82/0.58 % (9949)Termination phase: Saturation
% 1.82/0.58
% 1.82/0.58 % (9949)Memory used [KB]: 6780
% 1.82/0.58 % (9949)Time elapsed: 0.180 s
% 1.82/0.58 % (9949)Instructions burned: 47 (million)
% 1.82/0.58 % (9949)------------------------------
% 1.82/0.58 % (9949)------------------------------
% 1.99/0.59 % (9926)Instruction limit reached!
% 1.99/0.59 % (9926)------------------------------
% 1.99/0.59 % (9926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.59 % (9953)Instruction limit reached!
% 1.99/0.59 % (9953)------------------------------
% 1.99/0.59 % (9953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.59 % (9953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.59 % (9953)Termination reason: Unknown
% 1.99/0.59 % (9953)Termination phase: Saturation
% 1.99/0.59
% 1.99/0.59 % (9953)Memory used [KB]: 2046
% 1.99/0.59 % (9953)Time elapsed: 0.198 s
% 1.99/0.59 % (9953)Instructions burned: 74 (million)
% 1.99/0.59 % (9953)------------------------------
% 1.99/0.59 % (9953)------------------------------
% 1.99/0.60 % (9925)First to succeed.
% 1.99/0.60 % (9926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.60 % (9926)Termination reason: Unknown
% 1.99/0.60 % (9926)Termination phase: Saturation
% 1.99/0.60
% 1.99/0.60 % (9926)Memory used [KB]: 1663
% 1.99/0.60 % (9926)Time elapsed: 0.199 s
% 1.99/0.60 % (9926)Instructions burned: 43 (million)
% 1.99/0.60 % (9926)------------------------------
% 1.99/0.60 % (9926)------------------------------
% 1.99/0.61 % (9925)Refutation found. Thanks to Tanya!
% 1.99/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.99/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.99/0.61 % (9925)------------------------------
% 1.99/0.61 % (9925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.61 % (9925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.61 % (9925)Termination reason: Refutation
% 1.99/0.61
% 1.99/0.61 % (9925)Memory used [KB]: 6652
% 1.99/0.61 % (9925)Time elapsed: 0.198 s
% 1.99/0.61 % (9925)Instructions burned: 61 (million)
% 1.99/0.61 % (9925)------------------------------
% 1.99/0.61 % (9925)------------------------------
% 1.99/0.61 % (9923)Success in time 0.271 s
%------------------------------------------------------------------------------