TSTP Solution File: GRP219-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP219-1 : 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 : n015.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 16:20:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 66
% Syntax : Number of formulae : 300 ( 46 unt; 0 def)
% Number of atoms : 855 ( 349 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1059 ( 504 ~; 532 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 22 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2646,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f106,f111,f130,f135,f141,f146,f150,f151,f153,f156,f157,f158,f159,f160,f161,f163,f164,f165,f166,f167,f168,f181,f293,f478,f510,f745,f859,f1013,f1205,f1446,f1449,f1637,f1684,f1691,f1842,f2091,f2106,f2111,f2540,f2557,f2640]) ).
fof(f2640,plain,
( ~ spl17_14
| ~ spl17_22
| ~ spl17_23
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f2639]) ).
fof(f2639,plain,
( $false
| ~ spl17_14
| ~ spl17_22
| ~ spl17_23
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f2638,f677]) ).
fof(f677,plain,
( identity = inverse(sk_c6)
| ~ spl17_22 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl17_22
<=> identity = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f2638,plain,
( identity != inverse(sk_c6)
| ~ spl17_14
| ~ spl17_23
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f2630,f681]) ).
fof(f681,plain,
( identity = sF6
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f680,plain,
( spl17_23
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f2630,plain,
( identity != sF6
| identity != inverse(sk_c6)
| ~ spl17_14
| ~ spl17_27 ),
inference(superposition,[],[f2595,f210]) ).
fof(f210,plain,
sF15(sk_c6) = sF6,
inference(superposition,[],[f48,f72]) ).
fof(f72,plain,
! [X3] : multiply(X3,sk_c8) = sF15(X3),
introduced(function_definition,[]) ).
fof(f48,plain,
multiply(sk_c6,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f2595,plain,
( ! [X8] :
( identity != sF15(X8)
| identity != inverse(X8) )
| ~ spl17_14
| ~ spl17_27 ),
inference(forward_demodulation,[],[f2594,f762]) ).
fof(f762,plain,
( identity = sk_c9
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl17_27
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f2594,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| identity != sF15(X8) )
| ~ spl17_14
| ~ spl17_27 ),
inference(forward_demodulation,[],[f174,f762]) ).
fof(f174,plain,
( ! [X8] :
( sk_c9 != sF15(X8)
| sk_c9 != inverse(X8) )
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f173,plain,
( spl17_14
<=> ! [X8] :
( sk_c9 != sF15(X8)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f2557,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_12
| ~ spl17_15
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f2556]) ).
fof(f2556,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_12
| ~ spl17_15
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f2555,f762]) ).
fof(f2555,plain,
( identity != sk_c9
| ~ spl17_3
| ~ spl17_6
| ~ spl17_12
| ~ spl17_15
| ~ spl17_27 ),
inference(superposition,[],[f2554,f145]) ).
fof(f145,plain,
( sk_c9 = sF1
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl17_12
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f2554,plain,
( identity != sF1
| ~ spl17_3
| ~ spl17_6
| ~ spl17_15
| ~ spl17_27 ),
inference(superposition,[],[f2546,f40]) ).
fof(f40,plain,
inverse(sk_c4) = sF1,
introduced(function_definition,[]) ).
fof(f2546,plain,
( identity != inverse(sk_c4)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_15
| ~ spl17_27 ),
inference(trivial_inequality_removal,[],[f2545]) ).
fof(f2545,plain,
( identity != inverse(sk_c4)
| sk_c8 != sk_c8
| ~ spl17_3
| ~ spl17_6
| ~ spl17_15
| ~ spl17_27 ),
inference(superposition,[],[f2541,f219]) ).
fof(f219,plain,
( sk_c8 = sF13(sk_c4)
| ~ spl17_3
| ~ spl17_6 ),
inference(forward_demodulation,[],[f218,f101]) ).
fof(f101,plain,
( sk_c8 = sF10
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl17_3
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f218,plain,
( sF13(sk_c4) = sF10
| ~ spl17_6 ),
inference(forward_demodulation,[],[f217,f59]) ).
fof(f59,plain,
multiply(sk_c9,sk_c5) = sF10,
introduced(function_definition,[]) ).
fof(f217,plain,
( multiply(sk_c9,sk_c5) = sF13(sk_c4)
| ~ spl17_6 ),
inference(superposition,[],[f70,f198]) ).
fof(f198,plain,
( sk_c5 = sF12(sk_c4)
| ~ spl17_6 ),
inference(forward_demodulation,[],[f197,f115]) ).
fof(f115,plain,
( sk_c5 = sF4
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl17_6
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f197,plain,
sF4 = sF12(sk_c4),
inference(superposition,[],[f45,f69]) ).
fof(f69,plain,
! [X7] : multiply(X7,sk_c9) = sF12(X7),
introduced(function_definition,[]) ).
fof(f45,plain,
multiply(sk_c4,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f70,plain,
! [X7] : multiply(sk_c9,sF12(X7)) = sF13(X7),
introduced(function_definition,[]) ).
fof(f2541,plain,
( ! [X7] :
( sk_c8 != sF13(X7)
| identity != inverse(X7) )
| ~ spl17_15
| ~ spl17_27 ),
inference(forward_demodulation,[],[f177,f762]) ).
fof(f177,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c8 != sF13(X7) )
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl17_15
<=> ! [X7] :
( sk_c8 != sF13(X7)
| sk_c9 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f2540,plain,
( ~ spl17_2
| ~ spl17_9
| spl17_48 ),
inference(avatar_contradiction_clause,[],[f2539]) ).
fof(f2539,plain,
( $false
| ~ spl17_2
| ~ spl17_9
| spl17_48 ),
inference(subsumption_resolution,[],[f2538,f129]) ).
fof(f129,plain,
( sk_c8 = sF11
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl17_9
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f2538,plain,
( sk_c8 != sF11
| ~ spl17_2
| spl17_48 ),
inference(superposition,[],[f2074,f236]) ).
fof(f236,plain,
( sF11 = sF14(sk_c2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f235,f65]) ).
fof(f65,plain,
multiply(sk_c2,sk_c3) = sF11,
introduced(function_definition,[]) ).
fof(f235,plain,
( multiply(sk_c2,sk_c3) = sF14(sk_c2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f226,f96]) ).
fof(f96,plain,
( sk_c3 = sF2
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl17_2
<=> sk_c3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f226,plain,
sF14(sk_c2) = multiply(sk_c2,sF2),
inference(superposition,[],[f71,f42]) ).
fof(f42,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f71,plain,
! [X4] : sF14(X4) = multiply(X4,inverse(X4)),
introduced(function_definition,[]) ).
fof(f2074,plain,
( sk_c8 != sF14(sk_c2)
| spl17_48 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2072,plain,
( spl17_48
<=> sk_c8 = sF14(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_48])]) ).
fof(f2111,plain,
( spl17_23
| ~ spl17_20 ),
inference(avatar_split_clause,[],[f2110,f290,f680]) ).
fof(f290,plain,
( spl17_20
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f2110,plain,
( identity = sF6
| ~ spl17_20 ),
inference(forward_demodulation,[],[f2109,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f2109,plain,
( sF6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl17_20 ),
inference(forward_demodulation,[],[f495,f291]) ).
fof(f291,plain,
( sk_c8 = sF0
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f495,plain,
multiply(inverse(sF0),sk_c8) = sF6,
inference(superposition,[],[f333,f416]) ).
fof(f416,plain,
sk_c8 = multiply(sF0,sF6),
inference(forward_demodulation,[],[f387,f39]) ).
fof(f39,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f387,plain,
sk_c8 = multiply(inverse(sk_c6),sF6),
inference(superposition,[],[f333,f48]) ).
fof(f333,plain,
! [X12,X13] : multiply(inverse(X12),multiply(X12,X13)) = X13,
inference(forward_demodulation,[],[f305,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f305,plain,
! [X12,X13] : multiply(identity,X13) = multiply(inverse(X12),multiply(X12,X13)),
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(f2106,plain,
( spl17_7
| ~ spl17_23
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f2105]) ).
fof(f2105,plain,
( $false
| spl17_7
| ~ spl17_23
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f2102,f762]) ).
fof(f2102,plain,
( identity != sk_c9
| spl17_7
| ~ spl17_23 ),
inference(superposition,[],[f118,f681]) ).
fof(f118,plain,
( sk_c9 != sF6
| spl17_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl17_7
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f2091,plain,
( ~ spl17_5
| ~ spl17_48
| ~ spl17_2
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f1782,f179,f94,f2072,f108]) ).
fof(f108,plain,
( spl17_5
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f179,plain,
( spl17_16
<=> ! [X4] :
( sk_c8 != sF14(X4)
| sk_c8 != sF16(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f1782,plain,
( sk_c8 != sF14(sk_c2)
| sk_c8 != sF7
| ~ spl17_2
| ~ spl17_16 ),
inference(superposition,[],[f180,f1343]) ).
fof(f1343,plain,
( sF7 = sF16(sk_c2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f249,f196]) ).
fof(f196,plain,
sF12(sk_c3) = sF7,
inference(superposition,[],[f52,f69]) ).
fof(f52,plain,
multiply(sk_c3,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f249,plain,
( sF12(sk_c3) = sF16(sk_c2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f248,f96]) ).
fof(f248,plain,
sF12(sF2) = sF16(sk_c2),
inference(forward_demodulation,[],[f241,f69]) ).
fof(f241,plain,
multiply(sF2,sk_c9) = sF16(sk_c2),
inference(superposition,[],[f73,f42]) ).
fof(f73,plain,
! [X4] : sF16(X4) = multiply(inverse(X4),sk_c9),
introduced(function_definition,[]) ).
fof(f180,plain,
( ! [X4] :
( sk_c8 != sF16(X4)
| sk_c8 != sF14(X4) )
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f1842,plain,
( ~ spl17_1
| ~ spl17_4
| spl17_27 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1841,plain,
( $false
| ~ spl17_1
| ~ spl17_4
| spl17_27 ),
inference(subsumption_resolution,[],[f1840,f763]) ).
fof(f763,plain,
( identity != sk_c9
| spl17_27 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f1840,plain,
( identity = sk_c9
| ~ spl17_1
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1839,f2]) ).
fof(f1839,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl17_1
| ~ spl17_4 ),
inference(forward_demodulation,[],[f1339,f105]) ).
fof(f105,plain,
( sk_c8 = sF8
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl17_4
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f1339,plain,
( sk_c9 = multiply(inverse(sF8),sk_c8)
| ~ spl17_1 ),
inference(forward_demodulation,[],[f499,f92]) ).
fof(f92,plain,
( sk_c9 = sF3
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl17_1
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f499,plain,
multiply(inverse(sF8),sk_c8) = sF3,
inference(superposition,[],[f333,f417]) ).
fof(f417,plain,
sk_c8 = multiply(sF8,sF3),
inference(forward_demodulation,[],[f389,f53]) ).
fof(f53,plain,
inverse(sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f389,plain,
sk_c8 = multiply(inverse(sk_c7),sF3),
inference(superposition,[],[f333,f43]) ).
fof(f43,plain,
multiply(sk_c7,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f1691,plain,
( ~ spl17_7
| ~ spl17_10
| spl17_20
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f1690]) ).
fof(f1690,plain,
( $false
| ~ spl17_7
| ~ spl17_10
| spl17_20
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1689,f762]) ).
fof(f1689,plain,
( identity != sk_c9
| ~ spl17_7
| ~ spl17_10
| spl17_20
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1688,f1321]) ).
fof(f1321,plain,
( identity = sk_c8
| ~ spl17_7
| ~ spl17_10
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1320,f1]) ).
fof(f1320,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1030,f762]) ).
fof(f1030,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl17_7
| ~ spl17_10 ),
inference(forward_demodulation,[],[f841,f134]) ).
fof(f134,plain,
( sk_c9 = sF0
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl17_10
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f841,plain,
( sk_c8 = multiply(sF0,sk_c9)
| ~ spl17_7 ),
inference(superposition,[],[f416,f119]) ).
fof(f119,plain,
( sk_c9 = sF6
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f1688,plain,
( sk_c9 != sk_c8
| ~ spl17_10
| spl17_20 ),
inference(forward_demodulation,[],[f292,f134]) ).
fof(f292,plain,
( sk_c8 != sF0
| spl17_20 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f1684,plain,
( ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_22
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f1683]) ).
fof(f1683,plain,
( $false
| ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_22
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1682,f1561]) ).
fof(f1561,plain,
( identity = sF12(identity)
| ~ spl17_10
| ~ spl17_22
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1560,f762]) ).
fof(f1560,plain,
( identity = sF12(sk_c9)
| ~ spl17_10
| ~ spl17_22
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1557,f134]) ).
fof(f1557,plain,
( identity = sF12(sF0)
| ~ spl17_22
| ~ spl17_27 ),
inference(superposition,[],[f247,f1215]) ).
fof(f1215,plain,
( identity = sF16(sk_c6)
| ~ spl17_22
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1214,f762]) ).
fof(f1214,plain,
( sk_c9 = sF16(sk_c6)
| ~ spl17_22 ),
inference(forward_demodulation,[],[f1213,f194]) ).
fof(f194,plain,
sk_c9 = sF12(identity),
inference(superposition,[],[f1,f69]) ).
fof(f1213,plain,
( sF16(sk_c6) = sF12(identity)
| ~ spl17_22 ),
inference(forward_demodulation,[],[f1210,f69]) ).
fof(f1210,plain,
( sF16(sk_c6) = multiply(identity,sk_c9)
| ~ spl17_22 ),
inference(superposition,[],[f73,f677]) ).
fof(f247,plain,
sF12(sF0) = sF16(sk_c6),
inference(forward_demodulation,[],[f239,f69]) ).
fof(f239,plain,
sF16(sk_c6) = multiply(sF0,sk_c9),
inference(superposition,[],[f73,f39]) ).
fof(f1682,plain,
( identity != sF12(identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_22
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1681,f762]) ).
fof(f1681,plain,
( identity != sF12(sk_c9)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_22
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1669,f1609]) ).
fof(f1609,plain,
( identity = inverse(identity)
| ~ spl17_10
| ~ spl17_22
| ~ spl17_27 ),
inference(superposition,[],[f677,f1594]) ).
fof(f1594,plain,
( identity = sk_c6
| ~ spl17_10
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1593,f2]) ).
fof(f1593,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl17_10
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1591,f762]) ).
fof(f1591,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl17_10 ),
inference(superposition,[],[f333,f855]) ).
fof(f855,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl17_10 ),
inference(superposition,[],[f183,f134]) ).
fof(f183,plain,
identity = multiply(sF0,sk_c6),
inference(superposition,[],[f2,f39]) ).
fof(f1669,plain,
( identity != sF12(sk_c9)
| identity != inverse(identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_27 ),
inference(superposition,[],[f1641,f220]) ).
fof(f220,plain,
sF13(identity) = sF12(sk_c9),
inference(forward_demodulation,[],[f214,f69]) ).
fof(f214,plain,
multiply(sk_c9,sk_c9) = sF13(identity),
inference(superposition,[],[f70,f194]) ).
fof(f1641,plain,
( ! [X7] :
( identity != sF13(X7)
| identity != inverse(X7) )
| ~ spl17_7
| ~ spl17_10
| ~ spl17_15
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1640,f1321]) ).
fof(f1640,plain,
( ! [X7] :
( sk_c8 != sF13(X7)
| identity != inverse(X7) )
| ~ spl17_15
| ~ spl17_27 ),
inference(forward_demodulation,[],[f177,f762]) ).
fof(f1637,plain,
( ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_22
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_22
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1609,f1482]) ).
fof(f1482,plain,
( identity != inverse(identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(superposition,[],[f1416,f229]) ).
fof(f229,plain,
sF14(identity) = inverse(identity),
inference(superposition,[],[f1,f71]) ).
fof(f1416,plain,
( identity != sF14(identity)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1413,f762]) ).
fof(f1413,plain,
( identity != sF14(sk_c9)
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(trivial_inequality_removal,[],[f1410]) ).
fof(f1410,plain,
( identity != sF14(sk_c9)
| identity != identity
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(superposition,[],[f1375,f243]) ).
fof(f243,plain,
identity = sF16(sk_c9),
inference(superposition,[],[f73,f2]) ).
fof(f1375,plain,
( ! [X4] :
( identity != sF16(X4)
| identity != sF14(X4) )
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(forward_demodulation,[],[f1374,f1321]) ).
fof(f1374,plain,
( ! [X4] :
( sk_c8 != sF16(X4)
| identity != sF14(X4) )
| ~ spl17_7
| ~ spl17_10
| ~ spl17_16
| ~ spl17_27 ),
inference(forward_demodulation,[],[f180,f1321]) ).
fof(f1449,plain,
( ~ spl17_7
| spl17_23
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1448,plain,
( $false
| ~ spl17_7
| spl17_23
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1447,f762]) ).
fof(f1447,plain,
( identity != sk_c9
| ~ spl17_7
| spl17_23 ),
inference(superposition,[],[f682,f119]) ).
fof(f682,plain,
( identity != sF6
| spl17_23 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f1446,plain,
( ~ spl17_23
| spl17_19
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f1445,f761,f286,f680]) ).
fof(f286,plain,
( spl17_19
<=> sk_c9 = sF15(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f1445,plain,
( identity != sF6
| spl17_19
| ~ spl17_27 ),
inference(superposition,[],[f1316,f210]) ).
fof(f1316,plain,
( identity != sF15(sk_c6)
| spl17_19
| ~ spl17_27 ),
inference(forward_demodulation,[],[f288,f762]) ).
fof(f288,plain,
( sk_c9 != sF15(sk_c6)
| spl17_19 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1205,plain,
( ~ spl17_10
| spl17_22
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1204,plain,
( $false
| ~ spl17_10
| spl17_22
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f1203,f762]) ).
fof(f1203,plain,
( identity != sk_c9
| ~ spl17_10
| spl17_22 ),
inference(superposition,[],[f1202,f134]) ).
fof(f1202,plain,
( identity != sF0
| spl17_22 ),
inference(superposition,[],[f678,f39]) ).
fof(f678,plain,
( identity != inverse(sk_c6)
| spl17_22 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f1013,plain,
( spl17_27
| ~ spl17_2
| ~ spl17_5
| ~ spl17_9
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f889,f277,f127,f108,f94,f761]) ).
fof(f277,plain,
( spl17_17
<=> sk_c8 = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f889,plain,
( identity = sk_c9
| ~ spl17_2
| ~ spl17_5
| ~ spl17_9
| ~ spl17_17 ),
inference(forward_demodulation,[],[f888,f511]) ).
fof(f511,plain,
( identity = sk_c8
| ~ spl17_2
| ~ spl17_9 ),
inference(forward_demodulation,[],[f506,f2]) ).
fof(f506,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl17_2
| ~ spl17_9 ),
inference(superposition,[],[f333,f352]) ).
fof(f352,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl17_2
| ~ spl17_9 ),
inference(forward_demodulation,[],[f347,f129]) ).
fof(f347,plain,
( sk_c3 = multiply(sk_c3,sF11)
| ~ spl17_2 ),
inference(superposition,[],[f334,f65]) ).
fof(f334,plain,
( ! [X30] : multiply(sk_c3,multiply(sk_c2,X30)) = X30
| ~ spl17_2 ),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f320,plain,
( ! [X30] : multiply(sk_c3,multiply(sk_c2,X30)) = multiply(identity,X30)
| ~ spl17_2 ),
inference(superposition,[],[f3,f187]) ).
fof(f187,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f185,f96]) ).
fof(f185,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f42]) ).
fof(f888,plain,
( sk_c9 = sk_c8
| ~ spl17_2
| ~ spl17_5
| ~ spl17_9
| ~ spl17_17 ),
inference(forward_demodulation,[],[f878,f1]) ).
fof(f878,plain,
( sk_c8 = multiply(identity,sk_c9)
| ~ spl17_2
| ~ spl17_5
| ~ spl17_9
| ~ spl17_17 ),
inference(superposition,[],[f363,f748]) ).
fof(f748,plain,
( identity = sk_c3
| ~ spl17_2
| ~ spl17_9
| ~ spl17_17 ),
inference(forward_demodulation,[],[f278,f511]) ).
fof(f278,plain,
( sk_c8 = sk_c3
| ~ spl17_17 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f363,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl17_2
| ~ spl17_5
| ~ spl17_9 ),
inference(forward_demodulation,[],[f360,f250]) ).
fof(f250,plain,
( sk_c8 = sF16(sk_c2)
| ~ spl17_2
| ~ spl17_5 ),
inference(forward_demodulation,[],[f249,f200]) ).
fof(f200,plain,
( sk_c8 = sF12(sk_c3)
| ~ spl17_5 ),
inference(forward_demodulation,[],[f196,f110]) ).
fof(f110,plain,
( sk_c8 = sF7
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f360,plain,
( multiply(sk_c3,sk_c9) = sF16(sk_c2)
| ~ spl17_2
| ~ spl17_9 ),
inference(superposition,[],[f73,f355]) ).
fof(f355,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl17_2
| ~ spl17_9 ),
inference(forward_demodulation,[],[f354,f352]) ).
fof(f354,plain,
( inverse(sk_c2) = multiply(sk_c3,sk_c8)
| ~ spl17_2
| ~ spl17_9 ),
inference(forward_demodulation,[],[f350,f237]) ).
fof(f237,plain,
( sk_c8 = sF14(sk_c2)
| ~ spl17_2
| ~ spl17_9 ),
inference(forward_demodulation,[],[f236,f129]) ).
fof(f350,plain,
( inverse(sk_c2) = multiply(sk_c3,sF14(sk_c2))
| ~ spl17_2 ),
inference(superposition,[],[f334,f71]) ).
fof(f859,plain,
( ~ spl17_2
| ~ spl17_9
| ~ spl17_10
| spl17_20
| ~ spl17_27 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| ~ spl17_2
| ~ spl17_9
| ~ spl17_10
| spl17_20
| ~ spl17_27 ),
inference(subsumption_resolution,[],[f857,f762]) ).
fof(f857,plain,
( identity != sk_c9
| ~ spl17_2
| ~ spl17_9
| ~ spl17_10
| spl17_20 ),
inference(forward_demodulation,[],[f853,f511]) ).
fof(f853,plain,
( sk_c9 != sk_c8
| ~ spl17_10
| spl17_20 ),
inference(superposition,[],[f292,f134]) ).
fof(f745,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f744]) ).
fof(f744,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f743,f526]) ).
fof(f526,plain,
( identity = sk_c9
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_9
| ~ spl17_12 ),
inference(superposition,[],[f474,f511]) ).
fof(f474,plain,
( sk_c9 = sk_c8
| ~ spl17_3
| ~ spl17_6
| ~ spl17_12 ),
inference(superposition,[],[f101,f465]) ).
fof(f465,plain,
( sk_c9 = sF10
| ~ spl17_6
| ~ spl17_12 ),
inference(superposition,[],[f59,f414]) ).
fof(f414,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl17_6
| ~ spl17_12 ),
inference(forward_demodulation,[],[f413,f145]) ).
fof(f413,plain,
( sk_c9 = multiply(sF1,sk_c5)
| ~ spl17_6 ),
inference(forward_demodulation,[],[f412,f40]) ).
fof(f412,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c5)
| ~ spl17_6 ),
inference(forward_demodulation,[],[f395,f115]) ).
fof(f395,plain,
sk_c9 = multiply(inverse(sk_c4),sF4),
inference(superposition,[],[f333,f45]) ).
fof(f743,plain,
( identity != sk_c9
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f742,f124]) ).
fof(f124,plain,
( sk_c9 = sF9
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl17_8
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f742,plain,
( identity != sF9
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f672,f55]) ).
fof(f55,plain,
inverse(sk_c1) = sF9,
introduced(function_definition,[]) ).
fof(f672,plain,
( identity != inverse(sk_c1)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_9
| ~ spl17_11
| ~ spl17_12
| ~ spl17_14 ),
inference(forward_demodulation,[],[f656,f526]) ).
fof(f656,plain,
( inverse(sk_c1) != sk_c9
| ~ spl17_11
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f650]) ).
fof(f650,plain,
( sk_c9 != sk_c9
| inverse(sk_c1) != sk_c9
| ~ spl17_11
| ~ spl17_14 ),
inference(superposition,[],[f174,f212]) ).
fof(f212,plain,
( sk_c9 = sF15(sk_c1)
| ~ spl17_11 ),
inference(forward_demodulation,[],[f204,f139]) ).
fof(f139,plain,
( sk_c9 = sF5
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl17_11
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f204,plain,
sF15(sk_c1) = sF5,
inference(superposition,[],[f72,f47]) ).
fof(f47,plain,
multiply(sk_c1,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f510,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_12
| spl17_17 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f509,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_12
| spl17_17 ),
inference(subsumption_resolution,[],[f508,f279]) ).
fof(f279,plain,
( sk_c8 != sk_c3
| spl17_17 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f508,plain,
( sk_c8 = sk_c3
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_6
| ~ spl17_9
| ~ spl17_12 ),
inference(forward_demodulation,[],[f503,f363]) ).
fof(f503,plain,
( sk_c3 = multiply(sk_c3,sk_c9)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_6
| ~ spl17_9
| ~ spl17_12 ),
inference(superposition,[],[f352,f474]) ).
fof(f478,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_11
| ~ spl17_12
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f474,f274]) ).
fof(f274,plain,
( sk_c9 != sk_c8
| ~ spl17_8
| ~ spl17_11
| ~ spl17_13 ),
inference(forward_demodulation,[],[f273,f124]) ).
fof(f273,plain,
( sk_c8 != sF9
| ~ spl17_11
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f268,f212]) ).
fof(f268,plain,
( sk_c9 != sF15(sk_c1)
| sk_c8 != sF9
| ~ spl17_13 ),
inference(superposition,[],[f171,f55]) ).
fof(f171,plain,
( ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != sF15(X9) )
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl17_13
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != sF15(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f293,plain,
( ~ spl17_19
| ~ spl17_20
| ~ spl17_13 ),
inference(avatar_split_clause,[],[f269,f170,f290,f286]) ).
fof(f269,plain,
( sk_c8 != sF0
| sk_c9 != sF15(sk_c6)
| ~ spl17_13 ),
inference(superposition,[],[f171,f39]) ).
fof(f181,plain,
( spl17_13
| spl17_14
| spl17_14
| spl17_15
| spl17_16 ),
inference(avatar_split_clause,[],[f74,f179,f176,f173,f173,f170]) ).
fof(f74,plain,
! [X3,X8,X9,X7,X4] :
( sk_c8 != sF14(X4)
| sk_c8 != sF13(X7)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X3)
| sk_c9 != sF15(X8)
| sk_c9 != sF15(X3)
| sk_c8 != sF16(X4)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X9)
| sk_c9 != sF15(X9) ),
inference(definition_folding,[],[f38,f72,f73,f72,f72,f71,f70,f69]) ).
fof(f38,plain,
! [X3,X8,X9,X7,X4] :
( sk_c8 != multiply(sk_c9,multiply(X7,sk_c9))
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X9)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c9 != multiply(X8,sk_c8) ),
inference(equality_resolution,[],[f37]) ).
fof(f37,plain,
! [X3,X8,X6,X9,X7,X4] :
( multiply(X7,sk_c9) != X6
| sk_c8 != multiply(sk_c9,X6)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X9)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c9)
| sk_c9 != multiply(X8,sk_c8) ),
inference(equality_resolution,[],[f36]) ).
fof(f36,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( inverse(X4) != X5
| multiply(X7,sk_c9) != X6
| sk_c8 != multiply(sk_c9,X6)
| sk_c8 != multiply(X4,X5)
| sk_c9 != inverse(X3)
| sk_c9 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X9)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != multiply(X8,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f168,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f60,f99,f90]) ).
fof(f60,plain,
( sk_c8 = sF10
| sk_c9 = sF3 ),
inference(definition_folding,[],[f26,f43,f59]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f167,plain,
( spl17_12
| spl17_1 ),
inference(avatar_split_clause,[],[f83,f90,f143]) ).
fof(f83,plain,
( sk_c9 = sF3
| sk_c9 = sF1 ),
inference(definition_folding,[],[f34,f43,f40]) ).
fof(f34,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f166,plain,
( spl17_4
| spl17_6 ),
inference(avatar_split_clause,[],[f62,f113,f103]) ).
fof(f62,plain,
( sk_c5 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f31,f53,f45]) ).
fof(f31,axiom,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f165,plain,
( spl17_10
| spl17_6 ),
inference(avatar_split_clause,[],[f84,f113,f132]) ).
fof(f84,plain,
( sk_c5 = sF4
| sk_c9 = sF0 ),
inference(definition_folding,[],[f28,f39,f45]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f164,plain,
( spl17_3
| spl17_10 ),
inference(avatar_split_clause,[],[f77,f132,f99]) ).
fof(f77,plain,
( sk_c9 = sF0
| sk_c8 = sF10 ),
inference(definition_folding,[],[f24,f39,f59]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f163,plain,
( spl17_10
| spl17_2 ),
inference(avatar_split_clause,[],[f51,f94,f132]) ).
fof(f51,plain,
( sk_c3 = sF2
| sk_c9 = sF0 ),
inference(definition_folding,[],[f16,f42,f39]) ).
fof(f16,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f161,plain,
( spl17_4
| spl17_9 ),
inference(avatar_split_clause,[],[f67,f127,f103]) ).
fof(f67,plain,
( sk_c8 = sF11
| sk_c8 = sF8 ),
inference(definition_folding,[],[f15,f65,f53]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f160,plain,
( spl17_12
| spl17_10 ),
inference(avatar_split_clause,[],[f41,f132,f143]) ).
fof(f41,plain,
( sk_c9 = sF0
| sk_c9 = sF1 ),
inference(definition_folding,[],[f32,f40,f39]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f159,plain,
( spl17_8
| spl17_10 ),
inference(avatar_split_clause,[],[f86,f132,f122]) ).
fof(f86,plain,
( sk_c9 = sF0
| sk_c9 = sF9 ),
inference(definition_folding,[],[f4,f55,f39]) ).
fof(f4,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c1) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f158,plain,
( spl17_4
| spl17_2 ),
inference(avatar_split_clause,[],[f76,f94,f103]) ).
fof(f76,plain,
( sk_c3 = sF2
| sk_c8 = sF8 ),
inference(definition_folding,[],[f19,f42,f53]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f157,plain,
( spl17_5
| spl17_10 ),
inference(avatar_split_clause,[],[f88,f132,f108]) ).
fof(f88,plain,
( sk_c9 = sF0
| sk_c8 = sF7 ),
inference(definition_folding,[],[f20,f39,f52]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f156,plain,
( spl17_2
| spl17_7 ),
inference(avatar_split_clause,[],[f50,f117,f94]) ).
fof(f50,plain,
( sk_c9 = sF6
| sk_c3 = sF2 ),
inference(definition_folding,[],[f17,f42,f48]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f153,plain,
( spl17_1
| spl17_6 ),
inference(avatar_split_clause,[],[f46,f113,f90]) ).
fof(f46,plain,
( sk_c5 = sF4
| sk_c9 = sF3 ),
inference(definition_folding,[],[f30,f43,f45]) ).
fof(f30,axiom,
( sk_c5 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f151,plain,
( spl17_11
| spl17_10 ),
inference(avatar_split_clause,[],[f58,f132,f137]) ).
fof(f58,plain,
( sk_c9 = sF0
| sk_c9 = sF5 ),
inference(definition_folding,[],[f8,f47,f39]) ).
fof(f8,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f150,plain,
( spl17_7
| spl17_9 ),
inference(avatar_split_clause,[],[f81,f127,f117]) ).
fof(f81,plain,
( sk_c8 = sF11
| sk_c9 = sF6 ),
inference(definition_folding,[],[f13,f65,f48]) ).
fof(f13,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f146,plain,
( spl17_4
| spl17_12 ),
inference(avatar_split_clause,[],[f85,f143,f103]) ).
fof(f85,plain,
( sk_c9 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f35,f53,f40]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f141,plain,
( spl17_1
| spl17_5 ),
inference(avatar_split_clause,[],[f61,f108,f90]) ).
fof(f61,plain,
( sk_c8 = sF7
| sk_c9 = sF3 ),
inference(definition_folding,[],[f22,f43,f52]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f135,plain,
( spl17_9
| spl17_10 ),
inference(avatar_split_clause,[],[f66,f132,f127]) ).
fof(f66,plain,
( sk_c9 = sF0
| sk_c8 = sF11 ),
inference(definition_folding,[],[f12,f39,f65]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f130,plain,
( spl17_9
| spl17_1 ),
inference(avatar_split_clause,[],[f87,f90,f127]) ).
fof(f87,plain,
( sk_c9 = sF3
| sk_c8 = sF11 ),
inference(definition_folding,[],[f14,f65,f43]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c7,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f111,plain,
( spl17_5
| spl17_4 ),
inference(avatar_split_clause,[],[f54,f103,f108]) ).
fof(f54,plain,
( sk_c8 = sF8
| sk_c8 = sF7 ),
inference(definition_folding,[],[f23,f53,f52]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f106,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f78,f103,f99]) ).
fof(f78,plain,
( sk_c8 = sF8
| sk_c8 = sF10 ),
inference(definition_folding,[],[f27,f53,f59]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c9,sk_c5)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f97,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f44,f94,f90]) ).
fof(f44,plain,
( sk_c3 = sF2
| sk_c9 = sF3 ),
inference(definition_folding,[],[f18,f43,f42]) ).
fof(f18,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP219-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:32:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.47 % (20595)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.48 % (20588)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (20597)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 TRYING [1]
% 0.20/0.50 TRYING [2]
% 0.20/0.50 % (20585)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (20583)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 TRYING [3]
% 0.20/0.51 % (20609)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.51 % (20594)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 % (20593)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (20596)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (20606)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 TRYING [4]
% 0.20/0.52 % (20582)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.52 % (20611)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.52 % (20592)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (20602)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (20587)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (20598)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (20586)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (20603)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (20605)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (20610)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.53 % (20588)Instruction limit reached!
% 0.20/0.53 % (20588)------------------------------
% 0.20/0.53 % (20588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (20584)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (20608)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (20590)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (20607)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.53 % (20589)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (20588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20588)Termination reason: Unknown
% 0.20/0.54 % (20588)Termination phase: Finite model building SAT solving
% 0.20/0.54
% 0.20/0.54 % (20588)Memory used [KB]: 6908
% 0.20/0.54 % (20588)Time elapsed: 0.131 s
% 0.20/0.54 % (20588)Instructions burned: 52 (million)
% 0.20/0.54 % (20588)------------------------------
% 0.20/0.54 % (20588)------------------------------
% 0.20/0.54 TRYING [4]
% 0.20/0.54 % (20590)Instruction limit reached!
% 0.20/0.54 % (20590)------------------------------
% 0.20/0.54 % (20590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (20591)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (20600)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (20590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (20590)Termination reason: Unknown
% 0.20/0.54 % (20590)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (20590)Memory used [KB]: 5373
% 0.20/0.54 % (20590)Time elapsed: 0.003 s
% 0.20/0.54 % (20590)Instructions burned: 2 (million)
% 0.20/0.54 % (20590)------------------------------
% 0.20/0.54 % (20590)------------------------------
% 0.20/0.54 % (20599)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (20604)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (20595)First to succeed.
% 0.20/0.55 % (20601)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (20589)Instruction limit reached!
% 0.20/0.56 % (20589)------------------------------
% 0.20/0.56 % (20589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (20589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (20589)Termination reason: Unknown
% 0.20/0.56 % (20589)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (20589)Memory used [KB]: 5628
% 0.20/0.56 % (20589)Time elapsed: 0.114 s
% 0.20/0.56 % (20589)Instructions burned: 8 (million)
% 0.20/0.56 % (20589)------------------------------
% 0.20/0.56 % (20589)------------------------------
% 0.20/0.57 % (20595)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (20595)------------------------------
% 0.20/0.57 % (20595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (20595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (20595)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (20595)Memory used [KB]: 6524
% 0.20/0.57 % (20595)Time elapsed: 0.154 s
% 0.20/0.57 % (20595)Instructions burned: 71 (million)
% 0.20/0.57 % (20595)------------------------------
% 0.20/0.57 % (20595)------------------------------
% 0.20/0.57 % (20580)Success in time 0.225 s
%------------------------------------------------------------------------------