TSTP Solution File: GRP238-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP238-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:00 EDT 2022
% Result : Unsatisfiable 0.20s 0.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 41
% Syntax : Number of formulae : 167 ( 14 unt; 0 def)
% Number of atoms : 510 ( 223 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 658 ( 315 ~; 324 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 70 ( 70 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1331,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f90,f95,f109,f136,f152,f154,f169,f172,f176,f180,f186,f187,f189,f193,f198,f200,f201,f203,f225,f253,f296,f307,f407,f430,f966,f1177,f1214,f1237,f1297,f1330]) ).
fof(f1330,plain,
( spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1329]) ).
fof(f1329,plain,
( $false
| spl0_23
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1328,f294]) ).
fof(f294,plain,
( identity = sk_c11
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl0_27
<=> identity = sk_c11 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1328,plain,
( identity != sk_c11
| spl0_23 ),
inference(forward_demodulation,[],[f224,f466]) ).
fof(f466,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f449,f455]) ).
fof(f455,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f372,f439]) ).
fof(f439,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f372,f373]) ).
fof(f373,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f246,f246]) ).
fof(f246,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f238,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f372,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f246,f2]) ).
fof(f449,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f439,f379]) ).
fof(f379,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f246,f372]) ).
fof(f224,plain,
( sk_c11 != inverse(identity)
| spl0_23 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl0_23
<=> sk_c11 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1297,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
fof(f1296,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_22
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1295,f1045]) ).
fof(f1045,plain,
( identity = sk_c10
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f84,f1032]) ).
fof(f1032,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f437,f89]) ).
fof(f89,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f437,plain,
! [X4] : identity = multiply(X4,inverse(X4)),
inference(superposition,[],[f373,f2]) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c7,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl0_4
<=> sk_c10 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1295,plain,
( identity != sk_c10
| spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1294,f1]) ).
fof(f1294,plain,
( sk_c10 != multiply(identity,identity)
| spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f220,f294]) ).
fof(f220,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| spl0_22 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl0_22
<=> sk_c10 = multiply(sk_c11,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1237,plain,
( spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1236,plain,
( $false
| spl0_26
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1029,f294]) ).
fof(f1029,plain,
( identity != sk_c11
| spl0_26 ),
inference(forward_demodulation,[],[f291,f437]) ).
fof(f291,plain,
( sk_c11 != multiply(sk_c10,inverse(sk_c10))
| spl0_26 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl0_26
<=> sk_c11 = multiply(sk_c10,inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1214,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1213]) ).
fof(f1213,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1192,f466]) ).
fof(f1192,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| spl0_10
| ~ spl0_27 ),
inference(backward_demodulation,[],[f1084,f294]) ).
fof(f1084,plain,
( identity != inverse(sk_c11)
| ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(forward_demodulation,[],[f113,f1045]) ).
fof(f113,plain,
( inverse(sk_c11) != sk_c10
| spl0_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl0_10
<=> inverse(sk_c11) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1177,plain,
( ~ spl0_6
| ~ spl0_9
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl0_6
| ~ spl0_9
| spl0_27 ),
inference(subsumption_resolution,[],[f1175,f295]) ).
fof(f295,plain,
( identity != sk_c11
| spl0_27 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f1175,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_9 ),
inference(backward_demodulation,[],[f94,f1162]) ).
fof(f1162,plain,
( identity = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f437,f108]) ).
fof(f108,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_9
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c4,sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl0_6
<=> sk_c11 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f966,plain,
( ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f961,f437]) ).
fof(f961,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f957]) ).
fof(f957,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(superposition,[],[f433,f2]) ).
fof(f433,plain,
( ! [X9] :
( identity != multiply(inverse(X9),identity)
| identity != multiply(X9,inverse(X9)) )
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f432,f345]) ).
fof(f345,plain,
( identity = sk_c10
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f314,f1]) ).
fof(f314,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_22
| ~ spl0_27 ),
inference(backward_demodulation,[],[f219,f294]) ).
fof(f219,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f432,plain,
( ! [X9] :
( sk_c10 != multiply(inverse(X9),identity)
| identity != multiply(X9,inverse(X9)) )
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f431,f294]) ).
fof(f431,plain,
( ! [X9] :
( identity != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c11) )
| ~ spl0_19
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f151,f345]) ).
fof(f151,plain,
( ! [X9] :
( sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(inverse(X9),sk_c11) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl0_19
<=> ! [X9] :
( sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(X9,inverse(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f430,plain,
( ~ spl0_10
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl0_10
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f417,f357]) ).
fof(f357,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f310,f345]) ).
fof(f310,plain,
( sk_c10 = inverse(identity)
| ~ spl0_10
| ~ spl0_27 ),
inference(backward_demodulation,[],[f114,f294]) ).
fof(f114,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f417,plain,
( identity != inverse(identity)
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f412,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(superposition,[],[f410,f1]) ).
fof(f410,plain,
( ! [X11] :
( identity != multiply(X11,identity)
| identity != inverse(X11) )
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f409,f345]) ).
fof(f409,plain,
( ! [X11] :
( identity != inverse(X11)
| sk_c10 != multiply(X11,identity) )
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f408,f294]) ).
fof(f408,plain,
( ! [X11] :
( identity != inverse(X11)
| sk_c10 != multiply(X11,sk_c11) )
| ~ spl0_18
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f148,f345]) ).
fof(f148,plain,
( ! [X11] :
( sk_c10 != multiply(X11,sk_c11)
| sk_c10 != inverse(X11) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_18
<=> ! [X11] :
( sk_c10 != multiply(X11,sk_c11)
| sk_c10 != inverse(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f407,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f406,plain,
( $false
| ~ spl0_10
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f405,f357]) ).
fof(f405,plain,
( identity != inverse(identity)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f394,f357]) ).
fof(f394,plain,
( identity != inverse(inverse(identity))
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f391,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(superposition,[],[f367,f2]) ).
fof(f367,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f366,f294]) ).
fof(f366,plain,
( ! [X8] :
( sk_c11 != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f365,f294]) ).
fof(f365,plain,
( ! [X8] :
( sk_c11 != inverse(X8)
| sk_c11 != multiply(X8,identity) )
| ~ spl0_17
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_demodulation,[],[f145,f345]) ).
fof(f145,plain,
( ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl0_17
<=> ! [X8] :
( sk_c11 != multiply(X8,sk_c10)
| sk_c11 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f307,plain,
( spl0_27
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f306,f218,f157,f127,f112,f101,f73,f293]) ).
fof(f73,plain,
( spl0_2
<=> sk_c11 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f101,plain,
( spl0_8
<=> sk_c11 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f127,plain,
( spl0_13
<=> sk_c10 = multiply(sk_c11,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f157,plain,
( spl0_20
<=> sk_c3 = multiply(sk_c2,sk_c11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f306,plain,
( identity = sk_c11
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f301,f210]) ).
fof(f210,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_10 ),
inference(superposition,[],[f2,f114]) ).
fof(f301,plain,
( sk_c11 = multiply(sk_c10,sk_c11)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f267,f255]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c10,X0)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f247,f245]) ).
fof(f245,plain,
( ! [X9] : multiply(sk_c11,multiply(sk_c1,X9)) = X9
| ~ spl0_2 ),
inference(forward_demodulation,[],[f240,f1]) ).
fof(f240,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c11,multiply(sk_c1,X9))
| ~ spl0_2 ),
inference(superposition,[],[f3,f208]) ).
fof(f208,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f75]) ).
fof(f75,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f247,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c11,X11)) = X11
| ~ spl0_10 ),
inference(forward_demodulation,[],[f242,f1]) ).
fof(f242,plain,
( ! [X11] : multiply(sk_c10,multiply(sk_c11,X11)) = multiply(identity,X11)
| ~ spl0_10 ),
inference(superposition,[],[f3,f210]) ).
fof(f267,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(backward_demodulation,[],[f264,f266]) ).
fof(f266,plain,
( sk_c1 = sk_c2
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f259,f257]) ).
fof(f257,plain,
( sk_c1 = multiply(sk_c10,identity)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f247,f208]) ).
fof(f259,plain,
( sk_c2 = multiply(sk_c10,identity)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f247,f209]) ).
fof(f209,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f2,f103]) ).
fof(f103,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f264,plain,
( sk_c11 = multiply(sk_c2,sk_c11)
| ~ spl0_10
| ~ spl0_13
| ~ spl0_20
| ~ spl0_22 ),
inference(backward_demodulation,[],[f159,f261]) ).
fof(f261,plain,
( sk_c11 = sk_c3
| ~ spl0_10
| ~ spl0_13
| ~ spl0_22 ),
inference(backward_demodulation,[],[f258,f256]) ).
fof(f256,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f247,f219]) ).
fof(f258,plain,
( sk_c3 = multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f247,f129]) ).
fof(f129,plain,
( sk_c10 = multiply(sk_c11,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f159,plain,
( sk_c3 = multiply(sk_c2,sk_c11)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f296,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f287,f141,f293,f289]) ).
fof(f141,plain,
( spl0_16
<=> ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f287,plain,
( identity != sk_c11
| sk_c11 != multiply(sk_c10,inverse(sk_c10))
| ~ spl0_16 ),
inference(superposition,[],[f142,f2]) ).
fof(f142,plain,
( ! [X6] :
( sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != multiply(X6,inverse(X6)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f253,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f250,f78,f73,f218]) ).
fof(f78,plain,
( spl0_3
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f250,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f245,f80]) ).
fof(f80,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f225,plain,
( ~ spl0_22
| ~ spl0_23
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f211,f138,f222,f218]) ).
fof(f138,plain,
( spl0_15
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f211,plain,
( sk_c11 != inverse(identity)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_15 ),
inference(superposition,[],[f139,f1]) ).
fof(f139,plain,
( ! [X5] :
( sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c11 != inverse(X5) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f203,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f92,f112]) ).
fof(f4,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f201,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f87,f112]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c7)
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f200,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f92,f73]) ).
fof(f14,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f198,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f25,f106,f78]) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f193,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f87,f78]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c7)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f189,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f9,f112,f82]) ).
fof(f9,axiom,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f187,plain,
( spl0_20
| spl0_9 ),
inference(avatar_split_clause,[],[f45,f106,f157]) ).
fof(f45,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f186,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f55,f101,f106]) ).
fof(f55,axiom,
( sk_c11 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f180,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f19,f82,f73]) ).
fof(f19,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f176,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f54,f92,f101]) ).
fof(f54,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c11 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f172,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f44,f157,f92]) ).
fof(f44,axiom,
( sk_c3 = multiply(sk_c2,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f169,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f35,f127,f106]) ).
fof(f35,axiom,
( sk_c10 = multiply(sk_c11,sk_c3)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f154,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f112,f106]) ).
fof(f5,axiom,
( inverse(sk_c11) = sk_c10
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f152,plain,
( spl0_15
| spl0_16
| spl0_17
| spl0_18
| spl0_19
| spl0_17
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f67,f112,f144,f150,f147,f144,f141,f138]) ).
fof(f67,plain,
! [X3,X11,X8,X6,X9,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(X3,sk_c10)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c10 != multiply(X11,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c10 != inverse(X11)
| sk_c11 != multiply(inverse(X6),sk_c10)
| sk_c11 != inverse(X5)
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X6,inverse(X6))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11)) ),
inference(equality_resolution,[],[f66]) ).
fof(f66,plain,
! [X3,X11,X8,X6,X9,X7,X5] :
( sk_c10 != multiply(X11,sk_c11)
| sk_c10 != inverse(X11)
| sk_c11 != multiply(X6,X7)
| inverse(sk_c11) != sk_c10
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(inverse(X9),sk_c11)
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| inverse(X6) != X7
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,inverse(X9))
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X8,sk_c10) ),
inference(equality_resolution,[],[f65]) ).
fof(f65,plain,
! [X3,X10,X11,X8,X6,X9,X7,X5] :
( sk_c10 != multiply(X11,sk_c11)
| sk_c10 != inverse(X11)
| sk_c11 != multiply(X6,X7)
| inverse(sk_c11) != sk_c10
| inverse(X9) != X10
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X10,sk_c11)
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| inverse(X6) != X7
| sk_c10 != multiply(sk_c11,multiply(X5,sk_c11))
| sk_c10 != multiply(X9,X10)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X8,sk_c10) ),
inference(equality_resolution,[],[f64]) ).
fof(f64,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( sk_c10 != multiply(X11,sk_c11)
| sk_c10 != inverse(X11)
| sk_c11 != multiply(X6,X7)
| multiply(X5,sk_c11) != X4
| inverse(sk_c11) != sk_c10
| inverse(X9) != X10
| sk_c11 != inverse(X8)
| sk_c11 != inverse(X5)
| sk_c10 != multiply(X10,sk_c11)
| sk_c11 != multiply(X7,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| inverse(X6) != X7
| sk_c10 != multiply(sk_c11,X4)
| sk_c10 != multiply(X9,X10)
| sk_c11 != inverse(X3)
| sk_c11 != multiply(X8,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f136,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f92,f127]) ).
fof(f34,axiom,
( sk_c11 = multiply(sk_c4,sk_c5)
| sk_c10 = multiply(sk_c11,sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f106,f73]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f95,plain,
( spl0_6
| spl0_3 ),
inference(avatar_split_clause,[],[f24,f78,f92]) ).
fof(f24,axiom,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f90,plain,
( spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f20,f73,f87]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f85,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f82,f78]) ).
fof(f29,axiom,
( sk_c10 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP238-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:43:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (3895)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (3886)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)
% 0.20/0.52 % (3906)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.52 % (3884)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (3905)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (3894)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)
% 0.20/0.52 % (3890)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (3903)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)
% 0.20/0.53 % (3897)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 % (3900)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (3883)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)
% 0.20/0.53 % (3890)Instruction limit reached!
% 0.20/0.53 % (3890)------------------------------
% 0.20/0.53 % (3890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3885)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 % (3887)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 % (3909)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 % (3898)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)
% 0.20/0.53 % (3904)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 % (3912)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (3899)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)
% 0.20/0.54 % (3890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3890)Termination reason: Unknown
% 0.20/0.54 % (3890)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (3890)Memory used [KB]: 5628
% 0.20/0.54 % (3890)Time elapsed: 0.132 s
% 0.20/0.54 % (3890)Instructions burned: 8 (million)
% 0.20/0.54 % (3890)------------------------------
% 0.20/0.54 % (3890)------------------------------
% 0.20/0.54 % (3889)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)
% 0.20/0.54 % (3888)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)
% 0.20/0.54 % (3896)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (3892)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 % (3893)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (3911)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (3891)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 % (3891)Instruction limit reached!
% 0.20/0.54 % (3891)------------------------------
% 0.20/0.54 % (3891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (3891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (3891)Termination reason: Unknown
% 0.20/0.54 % (3891)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (3891)Memory used [KB]: 5373
% 0.20/0.54 % (3891)Time elapsed: 0.002 s
% 0.20/0.54 % (3891)Instructions burned: 3 (million)
% 0.20/0.54 % (3891)------------------------------
% 0.20/0.54 % (3891)------------------------------
% 0.20/0.54 % (3907)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (3908)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (3910)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)
% 0.20/0.54 % (3901)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (3902)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 [3]
% 0.20/0.55 TRYING [3]
% 0.20/0.56 TRYING [3]
% 0.20/0.58 TRYING [4]
% 0.20/0.58 % (3885)Instruction limit reached!
% 0.20/0.58 % (3885)------------------------------
% 0.20/0.58 % (3885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (3885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (3885)Termination reason: Unknown
% 0.20/0.58 % (3885)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (3885)Memory used [KB]: 1151
% 0.20/0.58 % (3885)Time elapsed: 0.165 s
% 0.20/0.58 % (3885)Instructions burned: 38 (million)
% 0.20/0.58 % (3885)------------------------------
% 0.20/0.58 % (3885)------------------------------
% 0.20/0.58 TRYING [4]
% 0.20/0.58 % (3884)First to succeed.
% 0.20/0.59 TRYING [4]
% 0.20/0.59 % (3889)Instruction limit reached!
% 0.20/0.59 % (3889)------------------------------
% 0.20/0.59 % (3889)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (3889)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (3889)Termination reason: Unknown
% 0.20/0.59 % (3889)Termination phase: Finite model building constraint generation
% 0.20/0.59
% 0.20/0.59 % (3889)Memory used [KB]: 6908
% 0.20/0.59 % (3889)Time elapsed: 0.156 s
% 0.20/0.59 % (3889)Instructions burned: 51 (million)
% 0.20/0.59 % (3889)------------------------------
% 0.20/0.59 % (3889)------------------------------
% 0.20/0.60 % (3884)Refutation found. Thanks to Tanya!
% 0.20/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.60 % (3884)------------------------------
% 0.20/0.60 % (3884)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (3884)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (3884)Termination reason: Refutation
% 0.20/0.60
% 0.20/0.60 % (3884)Memory used [KB]: 6268
% 0.20/0.60 % (3884)Time elapsed: 0.189 s
% 0.20/0.60 % (3884)Instructions burned: 43 (million)
% 0.20/0.60 % (3884)------------------------------
% 0.20/0.60 % (3884)------------------------------
% 0.20/0.60 % (3882)Success in time 0.245 s
%------------------------------------------------------------------------------