TSTP Solution File: GRP297-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP297-1 : 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 : n029.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 16:21:12 EDT 2022
% Result : Unsatisfiable 1.75s 0.72s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 52
% Syntax : Number of formulae : 300 ( 52 unt; 0 def)
% Number of atoms : 867 ( 341 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1094 ( 527 ~; 553 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2238,plain,
$false,
inference(avatar_sat_refutation,[],[f77,f86,f96,f101,f106,f111,f116,f117,f123,f124,f125,f126,f131,f132,f133,f134,f136,f138,f139,f141,f142,f380,f384,f427,f610,f774,f855,f1833,f1862,f2117,f2139,f2214]) ).
fof(f2214,plain,
( ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2213,plain,
( $false
| ~ spl14_3
| spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f2212,f1967]) ).
fof(f1967,plain,
( sk_c7 = sk_c5
| ~ spl14_3
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1966,f292]) ).
fof(f292,plain,
! [X7] : multiply(inverse(inverse(X7)),identity) = X7,
inference(superposition,[],[f216,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f216,plain,
! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = X13,
inference(forward_demodulation,[],[f197,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f197,plain,
! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = multiply(identity,X13),
inference(superposition,[],[f3,f2]) ).
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(f1966,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),identity)
| ~ spl14_3
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1963,f1619]) ).
fof(f1619,plain,
( identity = sk_c6
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f115,f1235]) ).
fof(f1235,plain,
( identity = sF1
| ~ spl14_9 ),
inference(forward_demodulation,[],[f1221,f2]) ).
fof(f1221,plain,
( sF1 = multiply(inverse(sk_c7),sk_c7)
| ~ spl14_9 ),
inference(superposition,[],[f405,f105]) ).
fof(f105,plain,
( sk_c7 = sF12
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl14_9
<=> sk_c7 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f405,plain,
multiply(inverse(sF12),sk_c7) = sF1,
inference(superposition,[],[f216,f338]) ).
fof(f338,plain,
sk_c7 = multiply(sF12,sF1),
inference(forward_demodulation,[],[f311,f50]) ).
fof(f50,plain,
inverse(sk_c1) = sF12,
introduced(function_definition,[]) ).
fof(f311,plain,
sk_c7 = multiply(inverse(sk_c1),sF1),
inference(superposition,[],[f216,f31]) ).
fof(f31,plain,
multiply(sk_c1,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f115,plain,
( sk_c6 = sF1
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl14_11
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f1963,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c6)
| ~ spl14_3 ),
inference(superposition,[],[f216,f1599]) ).
fof(f1599,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl14_3 ),
inference(forward_demodulation,[],[f298,f81]) ).
fof(f81,plain,
( sk_c5 = sF3
| ~ spl14_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl14_3
<=> sk_c5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f298,plain,
sk_c6 = multiply(inverse(sk_c7),sF3),
inference(superposition,[],[f216,f35]) ).
fof(f35,plain,
multiply(sk_c7,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f2212,plain,
( sk_c7 != sk_c5
| spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f84,f1682]) ).
fof(f1682,plain,
( sk_c7 = sF6
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1673,f1]) ).
fof(f1673,plain,
( sF6 = multiply(identity,sk_c7)
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f41,f1619]) ).
fof(f41,plain,
multiply(sk_c6,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f84,plain,
( sk_c5 != sF6
| spl14_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl14_4
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f2139,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_9
| ~ spl14_11
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2138,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_9
| ~ spl14_11
| ~ spl14_30 ),
inference(subsumption_resolution,[],[f2137,f1875]) ).
fof(f1875,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_9
| ~ spl14_11 ),
inference(trivial_inequality_removal,[],[f1869]) ).
fof(f1869,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f89,f1714]) ).
fof(f1714,plain,
( sk_c7 = sF10(sk_c7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f1627,f1637]) ).
fof(f1637,plain,
( sk_c7 = sk_c5
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1636,f1622]) ).
fof(f1622,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl14_9 ),
inference(forward_demodulation,[],[f460,f1235]) ).
fof(f460,plain,
( sk_c7 = multiply(sk_c7,sF1)
| ~ spl14_9 ),
inference(superposition,[],[f338,f105]) ).
fof(f1636,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1635,f1619]) ).
fof(f1635,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1634,f72]) ).
fof(f72,plain,
( sk_c6 = sF7
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl14_1
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f1634,plain,
( sk_c5 = multiply(sk_c7,sF7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1633,f1608]) ).
fof(f1608,plain,
( sF7 = sF11(sk_c5)
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1607,f42]) ).
fof(f42,plain,
multiply(sk_c7,sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f1607,plain,
( multiply(sk_c7,sk_c5) = sF11(sk_c5)
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1163,f81]) ).
fof(f1163,plain,
( multiply(sk_c7,sk_c5) = sF11(sF3)
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1162,f48]) ).
fof(f48,plain,
! [X3] : multiply(X3,sk_c7) = sF11(X3),
introduced(function_definition,[]) ).
fof(f1162,plain,
( multiply(sk_c7,sk_c5) = multiply(sF3,sk_c7)
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1134,f85]) ).
fof(f85,plain,
( sk_c5 = sF6
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f1134,plain,
multiply(sF3,sk_c7) = multiply(sk_c7,sF6),
inference(superposition,[],[f199,f41]) ).
fof(f199,plain,
! [X16] : multiply(sk_c7,multiply(sk_c6,X16)) = multiply(sF3,X16),
inference(superposition,[],[f3,f35]) ).
fof(f1633,plain,
( sk_c5 = multiply(sk_c7,sF11(sk_c5))
| ~ spl14_1
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1632,f169]) ).
fof(f169,plain,
( sk_c5 = sF11(sk_c6)
| ~ spl14_4 ),
inference(forward_demodulation,[],[f165,f85]) ).
fof(f165,plain,
sF11(sk_c6) = sF6,
inference(superposition,[],[f41,f48]) ).
fof(f1632,plain,
( multiply(sk_c7,sF11(sk_c5)) = sF11(sk_c6)
| ~ spl14_1 ),
inference(forward_demodulation,[],[f1328,f72]) ).
fof(f1328,plain,
multiply(sk_c7,sF11(sk_c5)) = sF11(sF7),
inference(forward_demodulation,[],[f1300,f48]) ).
fof(f1300,plain,
multiply(sk_c7,sF11(sk_c5)) = multiply(sF7,sk_c7),
inference(superposition,[],[f200,f48]) ).
fof(f200,plain,
! [X17] : multiply(sk_c7,multiply(sk_c5,X17)) = multiply(sF7,X17),
inference(superposition,[],[f3,f42]) ).
fof(f1627,plain,
( sk_c5 = sF10(sk_c5)
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1626,f1]) ).
fof(f1626,plain,
( sF10(sk_c5) = multiply(identity,sk_c5)
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1625,f1619]) ).
fof(f1625,plain,
( multiply(sk_c6,sk_c5) = sF10(sk_c5)
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f1624,f47]) ).
fof(f47,plain,
! [X4] : multiply(X4,sk_c6) = sF10(X4),
introduced(function_definition,[]) ).
fof(f1624,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,sk_c6)
| ~ spl14_3
| ~ spl14_4 ),
inference(forward_demodulation,[],[f993,f81]) ).
fof(f993,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c6,sF3)
| ~ spl14_4 ),
inference(superposition,[],[f220,f35]) ).
fof(f220,plain,
( ! [X19] : multiply(sk_c5,X19) = multiply(sk_c6,multiply(sk_c7,X19))
| ~ spl14_4 ),
inference(forward_demodulation,[],[f202,f85]) ).
fof(f202,plain,
! [X19] : multiply(sF6,X19) = multiply(sk_c6,multiply(sk_c7,X19)),
inference(superposition,[],[f3,f41]) ).
fof(f89,plain,
( ! [X4] :
( sk_c7 != sF10(X4)
| sk_c7 != inverse(X4) )
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl14_5
<=> ! [X4] :
( sk_c7 != sF10(X4)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f2137,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl14_9
| ~ spl14_30 ),
inference(forward_demodulation,[],[f2119,f105]) ).
fof(f2119,plain,
( inverse(sk_c7) = sF12
| ~ spl14_30 ),
inference(superposition,[],[f50,f1896]) ).
fof(f1896,plain,
( sk_c7 = sk_c1
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1895,plain,
( spl14_30
<=> sk_c7 = sk_c1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f2117,plain,
( spl14_30
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f2080,f113,f103,f83,f79,f70,f1895]) ).
fof(f2080,plain,
( sk_c7 = sk_c1
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f2079,f2073]) ).
fof(f2073,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f2072,f1829]) ).
fof(f1829,plain,
( identity = sF8(sk_c1)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f1700,f462]) ).
fof(f462,plain,
( sF11(sk_c7) = sF8(sk_c1)
| ~ spl14_9 ),
inference(superposition,[],[f234,f105]) ).
fof(f234,plain,
sF11(sF12) = sF8(sk_c1),
inference(superposition,[],[f174,f48]) ).
fof(f174,plain,
multiply(sF12,sk_c7) = sF8(sk_c1),
inference(superposition,[],[f45,f50]) ).
fof(f45,plain,
! [X5] : sF8(X5) = multiply(inverse(X5),sk_c7),
introduced(function_definition,[]) ).
fof(f1700,plain,
( identity = sF11(sk_c7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1699,f1619]) ).
fof(f1699,plain,
( sk_c6 = sF11(sk_c7)
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1698,f72]) ).
fof(f1698,plain,
( sF11(sk_c7) = sF7
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f1608,f1637]) ).
fof(f2072,plain,
( sk_c7 = multiply(sk_c1,sF8(sk_c1))
| ~ spl14_9 ),
inference(forward_demodulation,[],[f2071,f462]) ).
fof(f2071,plain,
( sk_c7 = multiply(sk_c1,sF11(sk_c7))
| ~ spl14_9 ),
inference(forward_demodulation,[],[f2067,f1591]) ).
fof(f1591,plain,
( ! [X0] : multiply(sF1,X0) = X0
| ~ spl14_9 ),
inference(forward_demodulation,[],[f1230,f216]) ).
fof(f1230,plain,
( ! [X0] : multiply(inverse(sk_c7),multiply(sk_c7,X0)) = multiply(sF1,X0)
| ~ spl14_9 ),
inference(forward_demodulation,[],[f1227,f105]) ).
fof(f1227,plain,
! [X0] : multiply(sF1,X0) = multiply(inverse(sF12),multiply(sk_c7,X0)),
inference(superposition,[],[f3,f405]) ).
fof(f2067,plain,
multiply(sk_c1,sF11(sk_c7)) = multiply(sF1,sk_c7),
inference(superposition,[],[f207,f48]) ).
fof(f207,plain,
! [X24] : multiply(sF1,X24) = multiply(sk_c1,multiply(sk_c7,X24)),
inference(superposition,[],[f3,f31]) ).
fof(f2079,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl14_9 ),
inference(forward_demodulation,[],[f2064,f1591]) ).
fof(f2064,plain,
( multiply(sk_c1,identity) = multiply(sF1,sk_c1)
| ~ spl14_9 ),
inference(superposition,[],[f207,f464]) ).
fof(f464,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl14_9 ),
inference(superposition,[],[f145,f105]) ).
fof(f145,plain,
identity = multiply(sF12,sk_c1),
inference(superposition,[],[f2,f50]) ).
fof(f1862,plain,
( ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(avatar_contradiction_clause,[],[f1861]) ).
fof(f1861,plain,
( $false
| ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f1860,f1235]) ).
fof(f1860,plain,
( identity != sF1
| ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f1859,f167]) ).
fof(f167,plain,
sF11(sk_c1) = sF1,
inference(superposition,[],[f31,f48]) ).
fof(f1859,plain,
( identity != sF11(sk_c1)
| ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f1853,f105]) ).
fof(f1853,plain,
( identity != sF11(sk_c1)
| sk_c7 != sF12
| ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(superposition,[],[f1834,f50]) ).
fof(f1834,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| identity != sF11(X3) )
| ~ spl14_6
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f92,f1619]) ).
fof(f92,plain,
( ! [X3] :
( sk_c6 != sF11(X3)
| sk_c7 != inverse(X3) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl14_6
<=> ! [X3] :
( sk_c6 != sF11(X3)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f1833,plain,
( ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9
| ~ spl14_11 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| ~ spl14_1
| ~ spl14_3
| ~ spl14_4
| ~ spl14_7
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f1829,f1713]) ).
fof(f1713,plain,
( identity != sF8(sk_c1)
| ~ spl14_7
| ~ spl14_9
| ~ spl14_11 ),
inference(forward_demodulation,[],[f1712,f1619]) ).
fof(f1712,plain,
( sk_c6 != sF8(sk_c1)
| ~ spl14_7
| ~ spl14_9
| ~ spl14_11 ),
inference(subsumption_resolution,[],[f1710,f1619]) ).
fof(f1710,plain,
( sk_c6 != sF8(sk_c1)
| identity != sk_c6
| ~ spl14_7
| ~ spl14_9 ),
inference(superposition,[],[f95,f1609]) ).
fof(f1609,plain,
( identity = sF9(sk_c1)
| ~ spl14_9 ),
inference(forward_demodulation,[],[f465,f1235]) ).
fof(f465,plain,
( sF1 = sF9(sk_c1)
| ~ spl14_9 ),
inference(forward_demodulation,[],[f461,f31]) ).
fof(f461,plain,
( multiply(sk_c1,sk_c7) = sF9(sk_c1)
| ~ spl14_9 ),
inference(superposition,[],[f185,f105]) ).
fof(f185,plain,
multiply(sk_c1,sF12) = sF9(sk_c1),
inference(superposition,[],[f46,f50]) ).
fof(f46,plain,
! [X5] : sF9(X5) = multiply(X5,inverse(X5)),
introduced(function_definition,[]) ).
fof(f95,plain,
( ! [X5] :
( sk_c6 != sF9(X5)
| sk_c6 != sF8(X5) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl14_7
<=> ! [X5] :
( sk_c6 != sF9(X5)
| sk_c6 != sF8(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f855,plain,
( ~ spl14_7
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| ~ spl14_7
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f853,f177]) ).
fof(f177,plain,
identity = sF8(sk_c7),
inference(superposition,[],[f2,f45]) ).
fof(f853,plain,
( identity != sF8(sk_c7)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f852,f328]) ).
fof(f328,plain,
( sk_c7 = sk_c3
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f308,f323]) ).
fof(f323,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f322,f316]) ).
fof(f316,plain,
( identity = sk_c6
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f307,f2]) ).
fof(f307,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f216,f254]) ).
fof(f254,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f253,f100]) ).
fof(f100,plain,
( sk_c4 = sF0
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl14_8
<=> sk_c4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f253,plain,
( sF0 = multiply(sk_c4,sk_c6)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f252,f30]) ).
fof(f30,plain,
inverse(sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f252,plain,
( inverse(sk_c3) = multiply(sk_c4,sk_c6)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f249,f191]) ).
fof(f191,plain,
( sk_c6 = sF9(sk_c3)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f190,f130]) ).
fof(f130,plain,
( sk_c6 = sF5
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl14_13
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f190,plain,
( sF5 = sF9(sk_c3)
| ~ spl14_8 ),
inference(forward_demodulation,[],[f189,f39]) ).
fof(f39,plain,
multiply(sk_c3,sk_c4) = sF5,
introduced(function_definition,[]) ).
fof(f189,plain,
( multiply(sk_c3,sk_c4) = sF9(sk_c3)
| ~ spl14_8 ),
inference(forward_demodulation,[],[f183,f100]) ).
fof(f183,plain,
multiply(sk_c3,sF0) = sF9(sk_c3),
inference(superposition,[],[f46,f30]) ).
fof(f249,plain,
( inverse(sk_c3) = multiply(sk_c4,sF9(sk_c3))
| ~ spl14_8 ),
inference(superposition,[],[f223,f46]) ).
fof(f223,plain,
( ! [X23] : multiply(sk_c4,multiply(sk_c3,X23)) = X23
| ~ spl14_8 ),
inference(forward_demodulation,[],[f206,f1]) ).
fof(f206,plain,
( ! [X23] : multiply(sk_c4,multiply(sk_c3,X23)) = multiply(identity,X23)
| ~ spl14_8 ),
inference(superposition,[],[f3,f146]) ).
fof(f146,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl14_8 ),
inference(forward_demodulation,[],[f143,f100]) ).
fof(f143,plain,
identity = multiply(sF0,sk_c3),
inference(superposition,[],[f2,f30]) ).
fof(f322,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c6)
| ~ spl14_10 ),
inference(forward_demodulation,[],[f306,f110]) ).
fof(f110,plain,
( sk_c6 = sF13
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl14_10
<=> sk_c6 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f306,plain,
sk_c7 = multiply(inverse(sk_c4),sF13),
inference(superposition,[],[f216,f52]) ).
fof(f52,plain,
multiply(sk_c4,sk_c7) = sF13,
introduced(function_definition,[]) ).
fof(f308,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl14_8 ),
inference(superposition,[],[f216,f146]) ).
fof(f852,plain,
( identity != sF8(sk_c3)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f836,f316]) ).
fof(f836,plain,
( identity != sk_c6
| identity != sF8(sk_c3)
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f786,f191]) ).
fof(f786,plain,
( ! [X5] :
( identity != sF9(X5)
| identity != sF8(X5) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f785,f316]) ).
fof(f785,plain,
( ! [X5] :
( sk_c6 != sF8(X5)
| identity != sF9(X5) )
| ~ spl14_7
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f95,f316]) ).
fof(f774,plain,
( ~ spl14_6
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f773,plain,
( $false
| ~ spl14_6
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f772,f121]) ).
fof(f121,plain,
( sk_c7 = sF4
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl14_12
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f772,plain,
( sk_c7 != sF4
| ~ spl14_6
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f761,f502]) ).
fof(f502,plain,
( identity = sF11(sk_c2)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f489,f316]) ).
fof(f489,plain,
( sk_c6 = sF11(sk_c2)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(superposition,[],[f168,f419]) ).
fof(f419,plain,
( sk_c2 = sk_c4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f416,f300]) ).
fof(f300,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl14_12 ),
inference(superposition,[],[f216,f147]) ).
fof(f147,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl14_12 ),
inference(forward_demodulation,[],[f144,f121]) ).
fof(f144,plain,
identity = multiply(sF4,sk_c2),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
inverse(sk_c2) = sF4,
introduced(function_definition,[]) ).
fof(f416,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(superposition,[],[f216,f358]) ).
fof(f358,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f357,f316]) ).
fof(f357,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f348,f130]) ).
fof(f348,plain,
( sF5 = multiply(sk_c7,sk_c4)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(superposition,[],[f39,f328]) ).
fof(f168,plain,
( sk_c6 = sF11(sk_c4)
| ~ spl14_10 ),
inference(forward_demodulation,[],[f161,f110]) ).
fof(f161,plain,
sF13 = sF11(sk_c4),
inference(superposition,[],[f48,f52]) ).
fof(f761,plain,
( identity != sF11(sk_c2)
| sk_c7 != sF4
| ~ spl14_6
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f633,f37]) ).
fof(f633,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| identity != sF11(X3) )
| ~ spl14_6
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f92,f316]) ).
fof(f610,plain,
( ~ spl14_1
| ~ spl14_4
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f609,plain,
( $false
| ~ spl14_1
| ~ spl14_4
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f608,f440]) ).
fof(f440,plain,
( sk_c7 != sk_c2
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f439,f271]) ).
fof(f271,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl14_12 ),
inference(forward_demodulation,[],[f265,f262]) ).
fof(f262,plain,
( sk_c7 = multiply(sk_c7,sF9(sk_c2))
| ~ spl14_12 ),
inference(superposition,[],[f227,f188]) ).
fof(f188,plain,
( multiply(sk_c2,sk_c7) = sF9(sk_c2)
| ~ spl14_12 ),
inference(forward_demodulation,[],[f184,f121]) ).
fof(f184,plain,
sF9(sk_c2) = multiply(sk_c2,sF4),
inference(superposition,[],[f46,f37]) ).
fof(f227,plain,
( ! [X18] : multiply(sk_c7,multiply(sk_c2,X18)) = X18
| ~ spl14_12 ),
inference(forward_demodulation,[],[f201,f1]) ).
fof(f201,plain,
( ! [X18] : multiply(identity,X18) = multiply(sk_c7,multiply(sk_c2,X18))
| ~ spl14_12 ),
inference(superposition,[],[f3,f147]) ).
fof(f265,plain,
( inverse(sk_c2) = multiply(sk_c7,sF9(sk_c2))
| ~ spl14_12 ),
inference(superposition,[],[f227,f46]) ).
fof(f439,plain,
( sk_c7 != sk_c2
| sk_c7 != inverse(sk_c2)
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f438,f419]) ).
fof(f438,plain,
( sk_c7 != sk_c2
| sk_c7 != inverse(sk_c4)
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f424,f419]) ).
fof(f424,plain,
( sk_c7 != sk_c4
| sk_c7 != inverse(sk_c4)
| ~ spl14_5
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f89,f256]) ).
fof(f256,plain,
( sk_c4 = sF10(sk_c4)
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f254,f47]) ).
fof(f608,plain,
( sk_c7 = sk_c2
| ~ spl14_1
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f607,f1]) ).
fof(f607,plain,
( sk_c2 = multiply(identity,sk_c7)
| ~ spl14_1
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f606,f316]) ).
fof(f606,plain,
( multiply(sk_c6,sk_c7) = sk_c2
| ~ spl14_1
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f605,f419]) ).
fof(f605,plain,
( multiply(sk_c6,sk_c7) = sk_c4
| ~ spl14_1
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f604,f327]) ).
fof(f327,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f326,f100]) ).
fof(f326,plain,
( sk_c4 = multiply(sF0,identity)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f325,f30]) ).
fof(f325,plain,
( sk_c4 = multiply(inverse(sk_c3),identity)
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f324,f316]) ).
fof(f324,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl14_13 ),
inference(forward_demodulation,[],[f304,f130]) ).
fof(f304,plain,
sk_c4 = multiply(inverse(sk_c3),sF5),
inference(superposition,[],[f216,f39]) ).
fof(f604,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,identity)
| ~ spl14_1
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f603,f381]) ).
fof(f381,plain,
( identity = sF7
| ~ spl14_1
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f72,f316]) ).
fof(f603,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c4,sF7)
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f566,f375]) ).
fof(f375,plain,
( sk_c7 = sk_c5
| ~ spl14_4
| ~ spl14_8
| ~ spl14_13 ),
inference(forward_demodulation,[],[f371,f158]) ).
fof(f158,plain,
sk_c7 = sF11(identity),
inference(superposition,[],[f48,f1]) ).
fof(f371,plain,
( sk_c5 = sF11(identity)
| ~ spl14_4
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f169,f316]) ).
fof(f566,plain,
( multiply(sk_c4,sF7) = multiply(sk_c6,sk_c5)
| ~ spl14_10 ),
inference(superposition,[],[f215,f42]) ).
fof(f215,plain,
( ! [X22] : multiply(sk_c4,multiply(sk_c7,X22)) = multiply(sk_c6,X22)
| ~ spl14_10 ),
inference(forward_demodulation,[],[f205,f110]) ).
fof(f205,plain,
! [X22] : multiply(sF13,X22) = multiply(sk_c4,multiply(sk_c7,X22)),
inference(superposition,[],[f3,f52]) ).
fof(f427,plain,
( ~ spl14_2
| ~ spl14_5
| ~ spl14_12 ),
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f426,plain,
( $false
| ~ spl14_2
| ~ spl14_5
| ~ spl14_12 ),
inference(subsumption_resolution,[],[f425,f271]) ).
fof(f425,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl14_2
| ~ spl14_5 ),
inference(trivial_inequality_removal,[],[f423]) ).
fof(f423,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c2)
| ~ spl14_2
| ~ spl14_5 ),
inference(superposition,[],[f89,f156]) ).
fof(f156,plain,
( sk_c7 = sF10(sk_c2)
| ~ spl14_2 ),
inference(forward_demodulation,[],[f155,f76]) ).
fof(f76,plain,
( sk_c7 = sF2
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f74,plain,
( spl14_2
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f155,plain,
sF10(sk_c2) = sF2,
inference(superposition,[],[f33,f47]) ).
fof(f33,plain,
multiply(sk_c2,sk_c6) = sF2,
introduced(function_definition,[]) ).
fof(f384,plain,
( spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| spl14_3
| ~ spl14_4
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f382,f375]) ).
fof(f382,plain,
( sk_c7 != sk_c5
| spl14_3
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f80,f342]) ).
fof(f342,plain,
( sk_c7 = sF3
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f341,f323]) ).
fof(f341,plain,
( multiply(inverse(sk_c4),identity) = sF3
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f340,f316]) ).
fof(f340,plain,
( sF3 = multiply(inverse(sk_c4),sk_c6)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f339,f154]) ).
fof(f154,plain,
sF3 = sF10(sk_c7),
inference(superposition,[],[f35,f47]) ).
fof(f339,plain,
( multiply(inverse(sk_c4),sk_c6) = sF10(sk_c7)
| ~ spl14_8
| ~ spl14_10
| ~ spl14_13 ),
inference(forward_demodulation,[],[f309,f328]) ).
fof(f309,plain,
( multiply(inverse(sk_c4),sk_c6) = sF10(sk_c3)
| ~ spl14_8 ),
inference(superposition,[],[f216,f247]) ).
fof(f247,plain,
( sk_c6 = multiply(sk_c4,sF10(sk_c3))
| ~ spl14_8 ),
inference(superposition,[],[f223,f47]) ).
fof(f80,plain,
( sk_c5 != sF3
| spl14_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f380,plain,
( spl14_1
| ~ spl14_2
| ~ spl14_4
| ~ spl14_8
| ~ spl14_12
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| spl14_1
| ~ spl14_2
| ~ spl14_4
| ~ spl14_8
| ~ spl14_12
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f378,f71]) ).
fof(f71,plain,
( sk_c6 != sF7
| spl14_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f378,plain,
( sk_c6 = sF7
| ~ spl14_2
| ~ spl14_4
| ~ spl14_8
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f377,f268]) ).
fof(f268,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl14_2
| ~ spl14_12 ),
inference(forward_demodulation,[],[f261,f76]) ).
fof(f261,plain,
( sk_c6 = multiply(sk_c7,sF2)
| ~ spl14_12 ),
inference(superposition,[],[f227,f33]) ).
fof(f377,plain,
( multiply(sk_c7,sk_c7) = sF7
| ~ spl14_4
| ~ spl14_8
| ~ spl14_13 ),
inference(superposition,[],[f42,f375]) ).
fof(f142,plain,
( spl14_9
| spl14_4 ),
inference(avatar_split_clause,[],[f57,f83,f103]) ).
fof(f57,plain,
( sk_c5 = sF6
| sk_c7 = sF12 ),
inference(definition_folding,[],[f16,f50,f41]) ).
fof(f16,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f141,plain,
( spl14_1
| spl14_8 ),
inference(avatar_split_clause,[],[f56,f98,f70]) ).
fof(f56,plain,
( sk_c4 = sF0
| sk_c6 = sF7 ),
inference(definition_folding,[],[f26,f30,f42]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f139,plain,
( spl14_3
| spl14_10 ),
inference(avatar_split_clause,[],[f61,f108,f79]) ).
fof(f61,plain,
( sk_c6 = sF13
| sk_c5 = sF3 ),
inference(definition_folding,[],[f9,f35,f52]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f138,plain,
( spl14_1
| spl14_13 ),
inference(avatar_split_clause,[],[f60,f128,f70]) ).
fof(f60,plain,
( sk_c6 = sF5
| sk_c6 = sF7 ),
inference(definition_folding,[],[f25,f39,f42]) ).
fof(f25,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f136,plain,
( spl14_2
| spl14_11 ),
inference(avatar_split_clause,[],[f34,f113,f74]) ).
fof(f34,plain,
( sk_c6 = sF1
| sk_c7 = sF2 ),
inference(definition_folding,[],[f12,f33,f31]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f134,plain,
( spl14_8
| spl14_11 ),
inference(avatar_split_clause,[],[f32,f113,f98]) ).
fof(f32,plain,
( sk_c6 = sF1
| sk_c4 = sF0 ),
inference(definition_folding,[],[f14,f31,f30]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f133,plain,
( spl14_3
| spl14_13 ),
inference(avatar_split_clause,[],[f40,f128,f79]) ).
fof(f40,plain,
( sk_c6 = sF5
| sk_c5 = sF3 ),
inference(definition_folding,[],[f7,f35,f39]) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f132,plain,
( spl14_11
| spl14_13 ),
inference(avatar_split_clause,[],[f67,f128,f113]) ).
fof(f67,plain,
( sk_c6 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f13,f39,f31]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f131,plain,
( spl14_13
| spl14_9 ),
inference(avatar_split_clause,[],[f51,f103,f128]) ).
fof(f51,plain,
( sk_c7 = sF12
| sk_c6 = sF5 ),
inference(definition_folding,[],[f19,f50,f39]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f126,plain,
( spl14_1
| spl14_12 ),
inference(avatar_split_clause,[],[f44,f119,f70]) ).
fof(f44,plain,
( sk_c7 = sF4
| sk_c6 = sF7 ),
inference(definition_folding,[],[f23,f42,f37]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f125,plain,
( spl14_9
| spl14_12 ),
inference(avatar_split_clause,[],[f65,f119,f103]) ).
fof(f65,plain,
( sk_c7 = sF4
| sk_c7 = sF12 ),
inference(definition_folding,[],[f17,f50,f37]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f124,plain,
( spl14_4
| spl14_11 ),
inference(avatar_split_clause,[],[f68,f113,f83]) ).
fof(f68,plain,
( sk_c6 = sF1
| sk_c5 = sF6 ),
inference(definition_folding,[],[f10,f31,f41]) ).
fof(f10,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f123,plain,
( spl14_11
| spl14_12 ),
inference(avatar_split_clause,[],[f38,f119,f113]) ).
fof(f38,plain,
( sk_c7 = sF4
| sk_c6 = sF1 ),
inference(definition_folding,[],[f11,f37,f31]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f117,plain,
( spl14_2
| spl14_9 ),
inference(avatar_split_clause,[],[f64,f103,f74]) ).
fof(f64,plain,
( sk_c7 = sF12
| sk_c7 = sF2 ),
inference(definition_folding,[],[f18,f50,f33]) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f116,plain,
( spl14_10
| spl14_11 ),
inference(avatar_split_clause,[],[f55,f113,f108]) ).
fof(f55,plain,
( sk_c6 = sF1
| sk_c6 = sF13 ),
inference(definition_folding,[],[f15,f52,f31]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f111,plain,
( spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f53,f108,f103]) ).
fof(f53,plain,
( sk_c6 = sF13
| sk_c7 = sF12 ),
inference(definition_folding,[],[f21,f50,f52]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f106,plain,
( spl14_9
| spl14_8 ),
inference(avatar_split_clause,[],[f63,f98,f103]) ).
fof(f63,plain,
( sk_c4 = sF0
| sk_c7 = sF12 ),
inference(definition_folding,[],[f20,f50,f30]) ).
fof(f20,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f101,plain,
( spl14_8
| spl14_3 ),
inference(avatar_split_clause,[],[f36,f79,f98]) ).
fof(f36,plain,
( sk_c5 = sF3
| sk_c4 = sF0 ),
inference(definition_folding,[],[f8,f35,f30]) ).
fof(f8,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f96,plain,
( spl14_5
| spl14_6
| ~ spl14_3
| ~ spl14_1
| ~ spl14_4
| spl14_7 ),
inference(avatar_split_clause,[],[f49,f94,f83,f70,f79,f91,f88]) ).
fof(f49,plain,
! [X3,X4,X5] :
( sk_c6 != sF9(X5)
| sk_c5 != sF6
| sk_c6 != sF7
| sk_c5 != sF3
| sk_c6 != sF8(X5)
| sk_c6 != sF11(X3)
| sk_c7 != sF10(X4)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4) ),
inference(definition_folding,[],[f29,f42,f35,f48,f47,f46,f45,f41]) ).
fof(f29,plain,
! [X3,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,sk_c5) ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X5,X6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| inverse(X5) != X6
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c7 != inverse(X4)
| sk_c6 != multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f86,plain,
( spl14_3
| spl14_4 ),
inference(avatar_split_clause,[],[f66,f83,f79]) ).
fof(f66,plain,
( sk_c5 = sF6
| sk_c5 = sF3 ),
inference(definition_folding,[],[f4,f41,f35]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f77,plain,
( spl14_1
| spl14_2 ),
inference(avatar_split_clause,[],[f59,f74,f70]) ).
fof(f59,plain,
( sk_c7 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f24,f42,f33]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP297-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % 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 : n029.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 22:36:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.36 ipcrm: permission denied for id (308314112)
% 0.14/0.36 ipcrm: permission denied for id (308379651)
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% 0.14/0.37 ipcrm: permission denied for id (308576265)
% 0.14/0.37 ipcrm: permission denied for id (308609034)
% 0.14/0.37 ipcrm: permission denied for id (308674572)
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% 0.21/0.48 ipcrm: permission denied for id (311623787)
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% 0.21/0.49 ipcrm: permission denied for id (311820401)
% 0.21/0.49 ipcrm: permission denied for id (311853170)
% 0.21/0.49 ipcrm: permission denied for id (311885939)
% 0.21/0.49 ipcrm: permission denied for id (311918708)
% 0.21/0.49 ipcrm: permission denied for id (311951477)
% 0.21/0.50 ipcrm: permission denied for id (312017016)
% 0.21/0.50 ipcrm: permission denied for id (312049785)
% 0.21/0.50 ipcrm: permission denied for id (312148092)
% 0.21/0.51 ipcrm: permission denied for id (312213630)
% 1.08/0.63 % (20701)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 (2998ds/51Mi)
% 1.08/0.63 % (20717)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/500Mi)
% 1.23/0.66 % (20694)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 (2998ds/37Mi)
% 1.23/0.67 % (20718)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 (2998ds/68Mi)
% 1.23/0.67 % (20702)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.23/0.68 % (20710)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.23/0.68 % (20708)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 (2998ds/99Mi)
% 1.23/0.68 % (20709)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/59Mi)
% 1.23/0.68 TRYING [1]
% 1.23/0.68 TRYING [2]
% 1.23/0.69 TRYING [3]
% 1.23/0.69 % (20697)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 (2998ds/48Mi)
% 1.23/0.69 % (20693)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.23/0.69 % (20695)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.23/0.69 % (20696)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.23/0.69 % (20699)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.23/0.69 % (20692)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 (2998ds/191324Mi)
% 1.23/0.69 % (20701)Instruction limit reached!
% 1.23/0.69 % (20701)------------------------------
% 1.23/0.69 % (20701)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.69 % (20701)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.69 % (20701)Termination reason: Unknown
% 1.23/0.69 % (20701)Termination phase: Saturation
% 1.23/0.69
% 1.23/0.69 % (20701)Memory used [KB]: 1407
% 1.23/0.69 % (20701)Time elapsed: 0.105 s
% 1.23/0.69 % (20701)Instructions burned: 51 (million)
% 1.23/0.69 % (20701)------------------------------
% 1.23/0.69 % (20701)------------------------------
% 1.23/0.69 % (20707)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 (2998ds/75Mi)
% 1.23/0.69 % (20721)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 (2998ds/355Mi)
% 1.23/0.70 % (20700)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.23/0.70 % (20711)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 (2998ds/100Mi)
% 1.23/0.70 % (20700)Instruction limit reached!
% 1.23/0.70 % (20700)------------------------------
% 1.23/0.70 % (20700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.23/0.70 % (20700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.23/0.70 % (20700)Termination reason: Unknown
% 1.23/0.70 % (20700)Termination phase: Saturation
% 1.23/0.70
% 1.23/0.70 % (20700)Memory used [KB]: 5373
% 1.23/0.70 % (20700)Time elapsed: 0.142 s
% 1.23/0.70 % (20700)Instructions burned: 3 (million)
% 1.23/0.70 % (20700)------------------------------
% 1.23/0.70 % (20700)------------------------------
% 1.23/0.70 % (20698)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/51Mi)
% 1.23/0.70 % (20712)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 (2998ds/176Mi)
% 1.23/0.70 % (20715)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 (2998ds/467Mi)
% 1.23/0.70 TRYING [1]
% 1.23/0.70 % (20714)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 (2998ds/498Mi)
% 1.23/0.70 % (20713)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/138Mi)
% 1.23/0.70 % (20703)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 1.23/0.70 % (20704)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/101Mi)
% 1.23/0.71 % (20719)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 (2998ds/177Mi)
% 1.23/0.71 TRYING [4]
% 1.23/0.71 % (20705)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99Mi)
% 1.23/0.71 % (20720)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/439Mi)
% 1.23/0.71 % (20706)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 (2998ds/68Mi)
% 1.23/0.71 % (20716)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/482Mi)
% 1.75/0.71 % (20717)First to succeed.
% 1.75/0.71 % (20694)Instruction limit reached!
% 1.75/0.71 % (20694)------------------------------
% 1.75/0.71 % (20694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.71 % (20694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.71 % (20694)Termination reason: Unknown
% 1.75/0.71 % (20694)Termination phase: Saturation
% 1.75/0.71
% 1.75/0.71 % (20694)Memory used [KB]: 1151
% 1.75/0.71 % (20694)Time elapsed: 0.147 s
% 1.75/0.71 % (20694)Instructions burned: 38 (million)
% 1.75/0.71 % (20694)------------------------------
% 1.75/0.71 % (20694)------------------------------
% 1.75/0.72 % (20699)Instruction limit reached!
% 1.75/0.72 % (20699)------------------------------
% 1.75/0.72 % (20699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.72 % (20699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.72 % (20699)Termination reason: Unknown
% 1.75/0.72 % (20699)Termination phase: Saturation
% 1.75/0.72
% 1.75/0.72 % (20699)Memory used [KB]: 5500
% 1.75/0.72 % (20699)Time elapsed: 0.154 s
% 1.75/0.72 % (20699)Instructions burned: 8 (million)
% 1.75/0.72 % (20699)------------------------------
% 1.75/0.72 % (20699)------------------------------
% 1.75/0.72 TRYING [1]
% 1.75/0.72 TRYING [2]
% 1.75/0.72 TRYING [3]
% 1.75/0.72 TRYING [2]
% 1.75/0.72 % (20717)Refutation found. Thanks to Tanya!
% 1.75/0.72 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.72 % (20717)------------------------------
% 1.75/0.72 % (20717)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.72 % (20717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.72 % (20717)Termination reason: Refutation
% 1.75/0.72
% 1.75/0.72 % (20717)Memory used [KB]: 6396
% 1.75/0.72 % (20717)Time elapsed: 0.138 s
% 1.75/0.72 % (20717)Instructions burned: 60 (million)
% 1.75/0.72 % (20717)------------------------------
% 1.75/0.72 % (20717)------------------------------
% 1.75/0.72 % (20557)Success in time 0.369 s
%------------------------------------------------------------------------------