TSTP Solution File: GRP237-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP237-1 : 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 : n009.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 16:20:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 66
% Syntax : Number of formulae : 258 ( 6 unt; 0 def)
% Number of atoms : 800 ( 299 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1020 ( 478 ~; 514 |; 0 &)
% ( 28 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 29 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f728,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f63,f68,f73,f78,f79,f95,f100,f104,f109,f114,f115,f116,f120,f125,f130,f131,f136,f137,f138,f139,f140,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f157,f158,f167,f177,f186,f191,f248,f268,f271,f307,f325,f404,f508,f512,f549,f608,f657,f702,f722,f727]) ).
fof(f727,plain,
( ~ spl3_24
| ~ spl3_11
| spl3_19
| ~ spl3_23
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f726,f198,f193,f170,f97,f198]) ).
fof(f97,plain,
( spl3_11
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f170,plain,
( spl3_19
<=> sk_c9 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f193,plain,
( spl3_23
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f198,plain,
( spl3_24
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f726,plain,
( identity != sk_c9
| ~ spl3_11
| spl3_19
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f725,f686]) ).
fof(f686,plain,
( identity = inverse(identity)
| ~ spl3_11
| ~ spl3_24 ),
inference(backward_demodulation,[],[f557,f681]) ).
fof(f681,plain,
( identity = sk_c6
| ~ spl3_11
| ~ spl3_24 ),
inference(superposition,[],[f1,f564]) ).
fof(f564,plain,
( identity = multiply(identity,sk_c6)
| ~ spl3_11
| ~ spl3_24 ),
inference(backward_demodulation,[],[f441,f199]) ).
fof(f199,plain,
( identity = sk_c9
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f441,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl3_11 ),
inference(superposition,[],[f2,f99]) ).
fof(f99,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f557,plain,
( identity = inverse(sk_c6)
| ~ spl3_11
| ~ spl3_24 ),
inference(backward_demodulation,[],[f99,f199]) ).
fof(f725,plain,
( sk_c9 != inverse(identity)
| spl3_19
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f172,f560]) ).
fof(f560,plain,
( identity = sk_c8
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f194,f199]) ).
fof(f194,plain,
( sk_c9 = sk_c8
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f172,plain,
( sk_c9 != inverse(sk_c8)
| spl3_19 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f722,plain,
( spl3_20
| ~ spl3_23
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f721,plain,
( $false
| spl3_20
| ~ spl3_23
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f720]) ).
fof(f720,plain,
( identity != identity
| spl3_20
| ~ spl3_23
| ~ spl3_24 ),
inference(superposition,[],[f708,f560]) ).
fof(f708,plain,
( identity != sk_c8
| spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f707,f1]) ).
fof(f707,plain,
( sk_c8 != multiply(identity,identity)
| spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f176,f199]) ).
fof(f176,plain,
( sk_c8 != multiply(sk_c9,identity)
| spl3_20 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl3_20
<=> sk_c8 = multiply(sk_c9,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f702,plain,
( spl3_2
| ~ spl3_11
| ~ spl3_23
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| spl3_2
| ~ spl3_11
| ~ spl3_23
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f698]) ).
fof(f698,plain,
( identity != identity
| spl3_2
| ~ spl3_11
| ~ spl3_23
| ~ spl3_24 ),
inference(superposition,[],[f567,f686]) ).
fof(f567,plain,
( identity != inverse(identity)
| spl3_2
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f513,f199]) ).
fof(f513,plain,
( sk_c9 != inverse(sk_c9)
| spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f56,f194]) ).
fof(f56,plain,
( inverse(sk_c9) != sk_c8
| spl3_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl3_2
<=> inverse(sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f657,plain,
( ~ spl3_24
| ~ spl3_6
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(avatar_split_clause,[],[f656,f245,f198,f193,f75,f198]) ).
fof(f75,plain,
( spl3_6
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f245,plain,
( spl3_28
<=> sk_c9 = multiply(sk_c8,inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f656,plain,
( identity != sk_c9
| ~ spl3_6
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f655,f1]) ).
fof(f655,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl3_6
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f622,f654]) ).
fof(f654,plain,
( identity = inverse(identity)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f630,f199]) ).
fof(f630,plain,
( sk_c9 = inverse(identity)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f77,f627]) ).
fof(f627,plain,
( identity = sk_c2
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f626,f2]) ).
fof(f626,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl3_6
| ~ spl3_24 ),
inference(forward_demodulation,[],[f483,f199]) ).
fof(f483,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl3_6 ),
inference(superposition,[],[f218,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl3_6 ),
inference(superposition,[],[f2,f77]) ).
fof(f218,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f77,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f622,plain,
( sk_c9 != multiply(identity,inverse(identity))
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f247,f560]) ).
fof(f247,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| spl3_28 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f608,plain,
( ~ spl3_3
| spl3_21
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| ~ spl3_3
| spl3_21
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f606]) ).
fof(f606,plain,
( identity != identity
| ~ spl3_3
| spl3_21
| ~ spl3_24 ),
inference(superposition,[],[f559,f592]) ).
fof(f592,plain,
( identity = inverse(identity)
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f555,f583]) ).
fof(f583,plain,
( identity = sk_c1
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f562,f2]) ).
fof(f562,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_3
| ~ spl3_24 ),
inference(backward_demodulation,[],[f261,f199]) ).
fof(f261,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl3_3 ),
inference(superposition,[],[f218,f160]) ).
fof(f160,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl3_3 ),
inference(superposition,[],[f2,f62]) ).
fof(f62,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_3
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f555,plain,
( identity = inverse(sk_c1)
| ~ spl3_3
| ~ spl3_24 ),
inference(backward_demodulation,[],[f62,f199]) ).
fof(f559,plain,
( identity != inverse(identity)
| spl3_21
| ~ spl3_24 ),
inference(backward_demodulation,[],[f181,f199]) ).
fof(f181,plain,
( sk_c9 != inverse(identity)
| spl3_21 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl3_21
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f549,plain,
( spl3_24
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f548,f193,f127,f122,f106,f198]) ).
fof(f106,plain,
( spl3_13
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f122,plain,
( spl3_16
<=> sk_c9 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f127,plain,
( spl3_17
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f548,plain,
( identity = sk_c9
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f546,f2]) ).
fof(f546,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(superposition,[],[f218,f530]) ).
fof(f530,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f515,f524]) ).
fof(f524,plain,
( sk_c9 = sk_c5
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f449,f515]) ).
fof(f449,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f447,f108]) ).
fof(f108,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f447,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c9)
| ~ spl3_16 ),
inference(superposition,[],[f218,f124]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c4,sk_c5)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f515,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f129,f194]) ).
fof(f129,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f512,plain,
( spl3_23
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f511,f97,f65,f51,f193]) ).
fof(f51,plain,
( spl3_1
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f65,plain,
( spl3_4
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f511,plain,
( sk_c9 = sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_11 ),
inference(backward_demodulation,[],[f53,f446]) ).
fof(f446,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl3_4
| ~ spl3_11 ),
inference(forward_demodulation,[],[f444,f99]) ).
fof(f444,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl3_4 ),
inference(superposition,[],[f218,f67]) ).
fof(f67,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f53,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f508,plain,
( ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f507,plain,
( $false
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f506]) ).
fof(f506,plain,
( sk_c9 != sk_c9
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(superposition,[],[f505,f456]) ).
fof(f456,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f108,f450]) ).
fof(f450,plain,
( sk_c9 = sk_c5
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f449,f430]) ).
fof(f430,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl3_17
| ~ spl3_23 ),
inference(forward_demodulation,[],[f129,f194]) ).
fof(f505,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(trivial_inequality_removal,[],[f501]) ).
fof(f501,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c4)
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(superposition,[],[f434,f454]) ).
fof(f454,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17
| ~ spl3_23 ),
inference(backward_demodulation,[],[f124,f450]) ).
fof(f434,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl3_12
| ~ spl3_23 ),
inference(forward_demodulation,[],[f103,f194]) ).
fof(f103,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl3_12
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f404,plain,
( ~ spl3_24
| ~ spl3_3
| spl3_14
| ~ spl3_23
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f403,f198,f193,f111,f60,f198]) ).
fof(f111,plain,
( spl3_14
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f403,plain,
( identity != sk_c9
| ~ spl3_3
| spl3_14
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f402,f1]) ).
fof(f402,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl3_3
| spl3_14
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f337,f393]) ).
fof(f393,plain,
( identity = sk_c1
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f392,f2]) ).
fof(f392,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_3
| ~ spl3_24 ),
inference(forward_demodulation,[],[f261,f199]) ).
fof(f337,plain,
( sk_c9 != multiply(sk_c1,identity)
| spl3_14
| ~ spl3_23
| ~ spl3_24 ),
inference(forward_demodulation,[],[f112,f311]) ).
fof(f311,plain,
( identity = sk_c8
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f194,f199]) ).
fof(f112,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| spl3_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f325,plain,
( ~ spl3_24
| ~ spl3_2
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(avatar_split_clause,[],[f324,f245,f198,f193,f55,f198]) ).
fof(f324,plain,
( identity != sk_c9
| ~ spl3_2
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f323,f1]) ).
fof(f323,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f322,f312]) ).
fof(f312,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f275,f199]) ).
fof(f275,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f57,f194]) ).
fof(f57,plain,
( inverse(sk_c9) = sk_c8
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f322,plain,
( sk_c9 != multiply(identity,inverse(identity))
| ~ spl3_23
| ~ spl3_24
| spl3_28 ),
inference(forward_demodulation,[],[f247,f311]) ).
fof(f307,plain,
( spl3_24
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_18
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f306,f193,f133,f111,f75,f70,f60,f55,f198]) ).
fof(f70,plain,
( spl3_5
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f133,plain,
( spl3_18
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f306,plain,
( identity = sk_c9
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f285,f293]) ).
fof(f293,plain,
( ! [X7] : multiply(inverse(sk_c9),X7) = X7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_18
| ~ spl3_23 ),
inference(backward_demodulation,[],[f286,f290]) ).
fof(f290,plain,
( ! [X8] : multiply(sk_c9,X8) = X8
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_18
| ~ spl3_23 ),
inference(forward_demodulation,[],[f289,f281]) ).
fof(f281,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c9,X11)) = X11
| ~ spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f215,f194]) ).
fof(f215,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c9,X11)) = X11
| ~ spl3_2 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c9,X11)) = multiply(identity,X11)
| ~ spl3_2 ),
inference(superposition,[],[f3,f159]) ).
fof(f159,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl3_2 ),
inference(superposition,[],[f2,f57]) ).
fof(f289,plain,
( ! [X8] : multiply(sk_c9,X8) = multiply(sk_c9,multiply(sk_c9,X8))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_18
| ~ spl3_23 ),
inference(backward_demodulation,[],[f279,f288]) ).
fof(f288,plain,
( ! [X13] : multiply(sk_c9,X13) = multiply(sk_c3,X13)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f226,f280]) ).
fof(f280,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c1,multiply(sk_c9,X12))
| ~ spl3_14
| ~ spl3_23 ),
inference(backward_demodulation,[],[f213,f194]) ).
fof(f213,plain,
( ! [X12] : multiply(sk_c9,X12) = multiply(sk_c1,multiply(sk_c8,X12))
| ~ spl3_14 ),
inference(superposition,[],[f3,f113]) ).
fof(f113,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f226,plain,
( ! [X13] : multiply(sk_c1,multiply(sk_c9,X13)) = multiply(sk_c3,X13)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6 ),
inference(backward_demodulation,[],[f214,f224]) ).
fof(f224,plain,
( sk_c1 = sk_c2
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6 ),
inference(backward_demodulation,[],[f222,f221]) ).
fof(f221,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl3_2
| ~ spl3_3 ),
inference(superposition,[],[f215,f160]) ).
fof(f222,plain,
( sk_c2 = multiply(sk_c8,identity)
| ~ spl3_2
| ~ spl3_6 ),
inference(superposition,[],[f215,f161]) ).
fof(f214,plain,
( ! [X13] : multiply(sk_c2,multiply(sk_c9,X13)) = multiply(sk_c3,X13)
| ~ spl3_5 ),
inference(superposition,[],[f3,f72]) ).
fof(f72,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f279,plain,
( ! [X8] : multiply(sk_c9,X8) = multiply(sk_c9,multiply(sk_c3,X8))
| ~ spl3_18
| ~ spl3_23 ),
inference(backward_demodulation,[],[f209,f194]) ).
fof(f209,plain,
( ! [X8] : multiply(sk_c8,X8) = multiply(sk_c9,multiply(sk_c3,X8))
| ~ spl3_18 ),
inference(superposition,[],[f3,f135]) ).
fof(f135,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f286,plain,
( ! [X7] : multiply(inverse(sk_c9),X7) = multiply(sk_c9,X7)
| ~ spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f263,f194]) ).
fof(f263,plain,
( ! [X7] : multiply(inverse(sk_c8),X7) = multiply(sk_c9,X7)
| ~ spl3_2 ),
inference(superposition,[],[f218,f215]) ).
fof(f285,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl3_2
| ~ spl3_23 ),
inference(backward_demodulation,[],[f262,f194]) ).
fof(f262,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl3_2 ),
inference(superposition,[],[f218,f159]) ).
fof(f271,plain,
( spl3_23
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f270,f133,f75,f70,f60,f55,f193]) ).
fof(f270,plain,
( sk_c9 = sk_c8
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_18 ),
inference(backward_demodulation,[],[f135,f269]) ).
fof(f269,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6 ),
inference(forward_demodulation,[],[f265,f62]) ).
fof(f265,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c3)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6 ),
inference(superposition,[],[f218,f228]) ).
fof(f228,plain,
( sk_c3 = multiply(sk_c1,sk_c9)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6 ),
inference(backward_demodulation,[],[f72,f224]) ).
fof(f268,plain,
( spl3_22
| ~ spl3_3
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f267,f111,f60,f183]) ).
fof(f183,plain,
( spl3_22
<=> sk_c8 = multiply(sk_c9,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f267,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl3_3
| ~ spl3_14 ),
inference(forward_demodulation,[],[f264,f62]) ).
fof(f264,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c9)
| ~ spl3_14 ),
inference(superposition,[],[f218,f113]) ).
fof(f248,plain,
( ~ spl3_24
| ~ spl3_28
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f234,f118,f245,f198]) ).
fof(f118,plain,
( spl3_15
<=> ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f234,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| identity != sk_c9
| ~ spl3_15 ),
inference(superposition,[],[f119,f2]) ).
fof(f119,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f191,plain,
( ~ spl3_3
| ~ spl3_12
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f190,f111,f102,f60]) ).
fof(f190,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl3_12
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f189]) ).
fof(f189,plain,
( sk_c9 != inverse(sk_c1)
| sk_c9 != sk_c9
| ~ spl3_12
| ~ spl3_14 ),
inference(superposition,[],[f103,f113]) ).
fof(f186,plain,
( ~ spl3_21
| ~ spl3_22
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f162,f89,f183,f179]) ).
fof(f89,plain,
( spl3_9
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f162,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(identity)
| ~ spl3_9 ),
inference(superposition,[],[f90,f1]) ).
fof(f90,plain,
( ! [X5] :
( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| sk_c9 != inverse(X5) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f177,plain,
( ~ spl3_19
| ~ spl3_20
| ~ spl3_2
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f168,f89,f55,f174,f170]) ).
fof(f168,plain,
( sk_c8 != multiply(sk_c9,identity)
| sk_c9 != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_9 ),
inference(forward_demodulation,[],[f163,f57]) ).
fof(f163,plain,
( sk_c9 != inverse(inverse(sk_c9))
| sk_c8 != multiply(sk_c9,identity)
| ~ spl3_9 ),
inference(superposition,[],[f90,f2]) ).
fof(f167,plain,
( ~ spl3_18
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f166,f89,f75,f70,f133]) ).
fof(f166,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(trivial_inequality_removal,[],[f165]) ).
fof(f165,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f164,f77]) ).
fof(f164,plain,
( sk_c9 != inverse(sk_c2)
| sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl3_5
| ~ spl3_9 ),
inference(superposition,[],[f90,f72]) ).
fof(f158,plain,
( spl3_17
| spl3_2 ),
inference(avatar_split_clause,[],[f6,f55,f127]) ).
fof(f6,axiom,
( inverse(sk_c9) = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f157,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f38,f75,f65]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f155,plain,
( spl3_2
| spl3_13 ),
inference(avatar_split_clause,[],[f5,f106,f55]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c4)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f154,plain,
( spl3_10
| spl3_9 ),
inference(avatar_split_clause,[],[f48,f89,f92]) ).
fof(f92,plain,
( spl3_10
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f48,plain,
! [X9] :
( sk_c9 != inverse(X9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sP2 ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X9] :
( sk_c9 != inverse(X9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9)) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f153,plain,
( spl3_5
| spl3_17 ),
inference(avatar_split_clause,[],[f30,f127,f70]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f152,plain,
( spl3_16
| spl3_14 ),
inference(avatar_split_clause,[],[f16,f111,f122]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f151,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f39,f75,f97]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f150,plain,
( spl3_3
| spl3_17 ),
inference(avatar_split_clause,[],[f12,f127,f60]) ).
fof(f12,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f149,plain,
( spl3_16
| spl3_3 ),
inference(avatar_split_clause,[],[f10,f60,f122]) ).
fof(f10,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f148,plain,
( spl3_18
| spl3_4 ),
inference(avatar_split_clause,[],[f26,f65,f133]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f147,plain,
( spl3_18
| spl3_11 ),
inference(avatar_split_clause,[],[f27,f97,f133]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f146,plain,
( spl3_6
| spl3_13 ),
inference(avatar_split_clause,[],[f35,f106,f75]) ).
fof(f35,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f145,plain,
( spl3_18
| spl3_1 ),
inference(avatar_split_clause,[],[f25,f51,f133]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f144,plain,
( spl3_6
| spl3_16 ),
inference(avatar_split_clause,[],[f34,f122,f75]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f143,plain,
( spl3_14
| spl3_17 ),
inference(avatar_split_clause,[],[f18,f127,f111]) ).
fof(f18,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f142,plain,
( spl3_16
| spl3_18 ),
inference(avatar_split_clause,[],[f22,f133,f122]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f140,plain,
( spl3_18
| spl3_17 ),
inference(avatar_split_clause,[],[f24,f127,f133]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f139,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f32,f70,f65]) ).
fof(f32,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f138,plain,
( spl3_11
| spl3_2 ),
inference(avatar_split_clause,[],[f9,f55,f97]) ).
fof(f9,axiom,
( inverse(sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f137,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f17,f111,f106]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f136,plain,
( spl3_13
| spl3_18 ),
inference(avatar_split_clause,[],[f23,f133,f106]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f131,plain,
( spl3_5
| spl3_16 ),
inference(avatar_split_clause,[],[f28,f122,f70]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| sk_c3 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f130,plain,
( spl3_17
| spl3_6 ),
inference(avatar_split_clause,[],[f36,f75,f127]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f125,plain,
( spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f4,f122,f55]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c5)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f120,plain,
( spl3_7
| spl3_15 ),
inference(avatar_split_clause,[],[f46,f118,f81]) ).
fof(f81,plain,
( spl3_7
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f46,plain,
! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sP1 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X6] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f116,plain,
( spl3_11
| spl3_5 ),
inference(avatar_split_clause,[],[f33,f70,f97]) ).
fof(f33,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f115,plain,
( spl3_13
| spl3_3 ),
inference(avatar_split_clause,[],[f11,f60,f106]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f114,plain,
( spl3_14
| spl3_11 ),
inference(avatar_split_clause,[],[f21,f97,f111]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f109,plain,
( spl3_13
| spl3_5 ),
inference(avatar_split_clause,[],[f29,f70,f106]) ).
fof(f29,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f104,plain,
( spl3_8
| spl3_12 ),
inference(avatar_split_clause,[],[f44,f102,f85]) ).
fof(f85,plain,
( spl3_8
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f44,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sP0
| sk_c9 != inverse(X3) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f100,plain,
( spl3_11
| spl3_3 ),
inference(avatar_split_clause,[],[f15,f60,f97]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f95,plain,
( ~ spl3_7
| ~ spl3_8
| ~ spl3_2
| spl3_9
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f49,f92,f89,f55,f85,f81]) ).
fof(f49,plain,
! [X5] :
( ~ sP2
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| ~ sP0
| ~ sP1
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f47,plain,
! [X9,X5] :
( sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X6,X9,X5] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
| ~ sP0 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X3,X6,X9,X5] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ),
inference(equality_resolution,[],[f42]) ).
fof(f42,plain,
! [X3,X6,X9,X4,X5] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X3)
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X9,X4,X5] :
( sk_c9 != multiply(inverse(X6),sk_c8)
| sk_c9 != multiply(X6,inverse(X6))
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X8)
| sk_c9 != inverse(X3)
| multiply(X9,sk_c9) != X8
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X6,X7)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X9)
| sk_c9 != inverse(X5)
| inverse(sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X8)
| inverse(X6) != X7
| sk_c9 != inverse(X3)
| multiply(X9,sk_c9) != X8
| multiply(X5,sk_c9) != X4
| sk_c8 != multiply(sk_c9,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f79,plain,
( spl3_4
| spl3_3 ),
inference(avatar_split_clause,[],[f14,f60,f65]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f78,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f37,f75,f51]) ).
fof(f37,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f73,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f31,f70,f51]) ).
fof(f31,axiom,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f68,plain,
( spl3_4
| spl3_2 ),
inference(avatar_split_clause,[],[f8,f55,f65]) ).
fof(f8,axiom,
( inverse(sk_c9) = sk_c8
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f63,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f13,f60,f51]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f58,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f7,f55,f51]) ).
fof(f7,axiom,
( inverse(sk_c9) = sk_c8
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP237-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:19:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.48 % (10835)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48 % (10831)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)
% 0.19/0.49 % (10852)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)
% 0.19/0.49 % (10839)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)
% 0.19/0.50 % (10826)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)
% 0.19/0.50 % (10846)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.50 % (10830)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 % (10829)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (10847)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)
% 0.19/0.51 % (10836)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)
% 0.19/0.51 % (10835)First to succeed.
% 0.19/0.52 % (10828)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)
% 0.19/0.52 % (10832)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (10853)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)
% 0.19/0.52 % (10827)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)
% 0.19/0.52 % (10835)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (10835)------------------------------
% 0.19/0.52 % (10835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10835)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (10835)Memory used [KB]: 5756
% 0.19/0.52 % (10835)Time elapsed: 0.128 s
% 0.19/0.52 % (10835)Instructions burned: 19 (million)
% 0.19/0.52 % (10835)------------------------------
% 0.19/0.52 % (10835)------------------------------
% 0.19/0.52 % (10821)Success in time 0.175 s
%------------------------------------------------------------------------------