TSTP Solution File: GRP372-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP372-1 : 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 : n011.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 16:21:27 EDT 2022
% Result : Unsatisfiable 1.63s 0.56s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 56
% Syntax : Number of formulae : 234 ( 7 unt; 0 def)
% Number of atoms : 1004 ( 282 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1509 ( 739 ~; 749 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f586,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f84,f98,f102,f107,f111,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f138,f139,f140,f141,f142,f143,f144,f145,f147,f148,f149,f150,f152,f153,f154,f155,f156,f233,f252,f264,f272,f279,f505,f509,f535,f555,f583]) ).
fof(f583,plain,
( ~ spl3_1
| spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f582]) ).
fof(f582,plain,
( $false
| ~ spl3_1
| spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f581,f556]) ).
fof(f556,plain,
( sk_c8 != sk_c6
| ~ spl3_1
| spl3_5
| ~ spl3_14 ),
inference(backward_demodulation,[],[f68,f371]) ).
fof(f371,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_1
| ~ spl3_14 ),
inference(forward_demodulation,[],[f369,f51]) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl3_1
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f369,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_14 ),
inference(superposition,[],[f168,f106]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl3_14
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f168,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f161,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f161,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f68,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_5
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f581,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f580,f371]) ).
fof(f580,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_8
| ~ spl3_10
| ~ spl3_18 ),
inference(backward_demodulation,[],[f124,f576]) ).
fof(f576,plain,
( sk_c8 = sk_c2
| ~ spl3_8
| ~ spl3_10 ),
inference(forward_demodulation,[],[f573,f570]) ).
fof(f570,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl3_8 ),
inference(superposition,[],[f177,f79]) ).
fof(f79,plain,
( inverse(sk_c8) = sk_c7
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl3_8
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f177,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f168,f2]) ).
fof(f573,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl3_10 ),
inference(superposition,[],[f177,f88]) ).
fof(f88,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_10
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f124,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl3_18
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f555,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f554]) ).
fof(f554,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(subsumption_resolution,[],[f553,f1]) ).
fof(f553,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f552,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f538,f462]) ).
fof(f462,plain,
( identity = inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f382,f437]) ).
fof(f437,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f436,f1]) ).
fof(f436,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f377,f381]) ).
fof(f381,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f376,f297]) ).
fof(f297,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl3_8 ),
inference(superposition,[],[f2,f79]) ).
fof(f376,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f280,f372]) ).
fof(f372,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_5
| ~ spl3_14 ),
inference(backward_demodulation,[],[f67,f371]) ).
fof(f67,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f280,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_5
| ~ spl3_8 ),
inference(backward_demodulation,[],[f179,f79]) ).
fof(f179,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_5 ),
inference(superposition,[],[f168,f67]) ).
fof(f377,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f364,f372]) ).
fof(f364,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_6
| ~ spl3_8 ),
inference(forward_demodulation,[],[f362,f79]) ).
fof(f362,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_6 ),
inference(superposition,[],[f168,f71]) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl3_6
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f382,plain,
( identity = inverse(sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f79,f381]) ).
fof(f538,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f537,f476]) ).
fof(f476,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f372,f437]) ).
fof(f537,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f536,f381]) ).
fof(f536,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f110,f381]) ).
fof(f110,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl3_15
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f535,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f533,f1]) ).
fof(f533,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f528,f443]) ).
fof(f443,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f438,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = X0
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f396,f437]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f392,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f370,f381]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl3_14 ),
inference(superposition,[],[f3,f106]) ).
fof(f528,plain,
( identity != multiply(identity,multiply(sk_c1,identity))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f527]) ).
fof(f527,plain,
( identity != identity
| identity != multiply(identity,multiply(sk_c1,identity))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(superposition,[],[f512,f439]) ).
fof(f439,plain,
( identity = inverse(sk_c1)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14 ),
inference(backward_demodulation,[],[f51,f437]) ).
fof(f512,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f511,f437]) ).
fof(f511,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f510,f381]) ).
fof(f510,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f101,f437]) ).
fof(f101,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl3_13
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f509,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f508,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f501,f1]) ).
fof(f501,plain,
( identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f500]) ).
fof(f500,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(superposition,[],[f475,f462]) ).
fof(f475,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f474,f437]) ).
fof(f474,plain,
( ! [X5] :
( identity != multiply(X5,sk_c8)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f383,f437]) ).
fof(f383,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| identity != multiply(X5,sk_c8) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14 ),
inference(backward_demodulation,[],[f83,f381]) ).
fof(f83,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl3_9
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f505,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14
| ~ spl3_18 ),
inference(subsumption_resolution,[],[f503,f444]) ).
fof(f444,plain,
( identity = multiply(sk_c2,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f434,f437]) ).
fof(f434,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_14
| ~ spl3_18 ),
inference(forward_demodulation,[],[f374,f381]) ).
fof(f374,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_14
| ~ spl3_18 ),
inference(backward_demodulation,[],[f124,f372]) ).
fof(f503,plain,
( identity != multiply(sk_c2,identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14 ),
inference(trivial_inequality_removal,[],[f498]) ).
fof(f498,plain,
( identity != multiply(sk_c2,identity)
| identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_14 ),
inference(superposition,[],[f475,f384]) ).
fof(f384,plain,
( identity = inverse(sk_c2)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_8
| ~ spl3_10
| ~ spl3_14 ),
inference(backward_demodulation,[],[f88,f381]) ).
fof(f279,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f278,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f277,f1]) ).
fof(f277,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f275,f229]) ).
fof(f229,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f211,f224]) ).
fof(f224,plain,
( identity = sk_c3
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f214,f2]) ).
fof(f214,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f180,f210]) ).
fof(f210,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f209,f2]) ).
fof(f209,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f195,f207]) ).
fof(f207,plain,
( sk_c8 = sk_c6
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f189,f206]) ).
fof(f206,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f187,f205]) ).
fof(f205,plain,
( sk_c8 = sk_c5
| ~ spl3_2
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f201,f191]) ).
fof(f191,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f97,f188]) ).
fof(f188,plain,
( sk_c8 = sk_c7
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f92,f187]) ).
fof(f92,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_11
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl3_12
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f201,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| ~ spl3_2
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f115,f196]) ).
fof(f196,plain,
( sk_c3 = sk_c4
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_demodulation,[],[f182,f180]) ).
fof(f182,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl3_17 ),
inference(superposition,[],[f168,f158]) ).
fof(f158,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl3_17 ),
inference(superposition,[],[f2,f120]) ).
fof(f120,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl3_17
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f115,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_16
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f187,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f184,f120]) ).
fof(f184,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_16 ),
inference(superposition,[],[f168,f115]) ).
fof(f189,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl3_5
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f67,f188]) ).
fof(f195,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c6)
| ~ spl3_5
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f179,f188]) ).
fof(f180,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl3_2 ),
inference(superposition,[],[f168,f157]) ).
fof(f157,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl3_2 ),
inference(superposition,[],[f2,f55]) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_2
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f211,plain,
( identity = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f55,f210]) ).
fof(f275,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f274,f221]) ).
fof(f221,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f207,f210]) ).
fof(f274,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f273,f215]) ).
fof(f215,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f188,f210]) ).
fof(f273,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_15
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f110,f215]) ).
fof(f272,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f271,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f270,f1]) ).
fof(f270,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( identity != multiply(identity,multiply(identity,identity))
| identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f267,f229]) ).
fof(f267,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f266,f215]) ).
fof(f266,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f265,f210]) ).
fof(f265,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_13
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f101,f210]) ).
fof(f264,plain,
( ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f262,f1]) ).
fof(f262,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f261]) ).
fof(f261,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(superposition,[],[f255,f229]) ).
fof(f255,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f254,f210]) ).
fof(f254,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f253,f215]) ).
fof(f253,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c8 != inverse(X5) )
| ~ spl3_2
| ~ spl3_5
| ~ spl3_9
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f83,f210]) ).
fof(f252,plain,
( ~ spl3_2
| ~ spl3_5
| spl3_8
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f251,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| spl3_8
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f250,f229]) ).
fof(f250,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_5
| spl3_8
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f249,f210]) ).
fof(f249,plain,
( identity != inverse(sk_c8)
| ~ spl3_2
| ~ spl3_5
| spl3_8
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f80,f215]) ).
fof(f80,plain,
( inverse(sk_c8) != sk_c7
| spl3_8 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f233,plain,
( ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f231,f1]) ).
fof(f231,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(forward_demodulation,[],[f208,f210]) ).
fof(f208,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f190,f207]) ).
fof(f190,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| spl3_6
| ~ spl3_11
| ~ spl3_16
| ~ spl3_17 ),
inference(backward_demodulation,[],[f72,f188]) ).
fof(f72,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl3_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f156,plain,
( spl3_6
| spl3_11 ),
inference(avatar_split_clause,[],[f25,f90,f70]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f155,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f36,f53,f86]) ).
fof(f36,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f154,plain,
( spl3_18
| spl3_12 ),
inference(avatar_split_clause,[],[f29,f95,f122]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f153,plain,
( spl3_5
| spl3_14 ),
inference(avatar_split_clause,[],[f10,f104,f66]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f152,plain,
( spl3_17
| spl3_6 ),
inference(avatar_split_clause,[],[f27,f70,f118]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f150,plain,
( spl3_1
| spl3_5 ),
inference(avatar_split_clause,[],[f16,f66,f49]) ).
fof(f16,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f149,plain,
( spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f19,f90,f49]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f148,plain,
( spl3_8
| spl3_5 ),
inference(avatar_split_clause,[],[f4,f66,f78]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f147,plain,
( spl3_12
| spl3_8 ),
inference(avatar_split_clause,[],[f5,f78,f95]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f145,plain,
( spl3_3
| spl3_9 ),
inference(avatar_split_clause,[],[f42,f82,f58]) ).
fof(f58,plain,
( spl3_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f42,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f144,plain,
( spl3_14
| spl3_12 ),
inference(avatar_split_clause,[],[f11,f95,f104]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f143,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f34,f66,f86]) ).
fof(f34,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f142,plain,
( spl3_17
| spl3_1 ),
inference(avatar_split_clause,[],[f21,f49,f118]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f141,plain,
( spl3_18
| spl3_5 ),
inference(avatar_split_clause,[],[f28,f66,f122]) ).
fof(f28,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f140,plain,
( spl3_6
| spl3_16 ),
inference(avatar_split_clause,[],[f26,f113,f70]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f139,plain,
( spl3_8
| spl3_11 ),
inference(avatar_split_clause,[],[f7,f90,f78]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f138,plain,
( spl3_17
| spl3_14 ),
inference(avatar_split_clause,[],[f15,f104,f118]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f136,plain,
( spl3_6
| spl3_2 ),
inference(avatar_split_clause,[],[f24,f53,f70]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f135,plain,
( spl3_14
| spl3_2 ),
inference(avatar_split_clause,[],[f12,f53,f104]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f134,plain,
( spl3_1
| spl3_16 ),
inference(avatar_split_clause,[],[f20,f113,f49]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f133,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f6,f78,f53]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f132,plain,
( spl3_8
| spl3_16 ),
inference(avatar_split_clause,[],[f8,f113,f78]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f131,plain,
( spl3_18
| spl3_2 ),
inference(avatar_split_clause,[],[f30,f53,f122]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f130,plain,
( spl3_14
| spl3_16 ),
inference(avatar_split_clause,[],[f14,f113,f104]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f129,plain,
( spl3_12
| spl3_1 ),
inference(avatar_split_clause,[],[f17,f49,f95]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f128,plain,
( spl3_16
| spl3_18 ),
inference(avatar_split_clause,[],[f32,f122,f113]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f127,plain,
( spl3_18
| spl3_11 ),
inference(avatar_split_clause,[],[f31,f90,f122]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f126,plain,
( spl3_8
| spl3_17 ),
inference(avatar_split_clause,[],[f9,f118,f78]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f125,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f33,f122,f118]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f111,plain,
( spl3_4
| spl3_15 ),
inference(avatar_split_clause,[],[f46,f109,f62]) ).
fof(f62,plain,
( spl3_4
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f46,plain,
! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sP2 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f107,plain,
( spl3_11
| spl3_14 ),
inference(avatar_split_clause,[],[f13,f104,f90]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f102,plain,
( spl3_13
| spl3_7 ),
inference(avatar_split_clause,[],[f44,f74,f100]) ).
fof(f74,plain,
( spl3_7
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f44,plain,
! [X7] :
( sP1
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f98,plain,
( spl3_6
| spl3_12 ),
inference(avatar_split_clause,[],[f23,f95,f70]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f84,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f47,f82,f78,f74,f70,f66,f62,f58]) ).
fof(f47,plain,
! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| inverse(sk_c8) != sk_c7
| ~ sP1
| sk_c7 != multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP2
| sk_c8 != inverse(X5)
| ~ sP0 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X7,X4,X5] :
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7 ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X3)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,X6)
| sk_c7 != inverse(X4)
| multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| multiply(X7,sk_c8) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f56,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f18,f53,f49]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP372-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % 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 : n011.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 22:24:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (29365)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)
% 0.20/0.51 % (29372)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.51 % (29377)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (29386)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (29368)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (29373)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)
% 0.20/0.52 % (29379)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)
% 0.20/0.52 % (29386)First to succeed.
% 0.20/0.52 % (29369)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)
% 0.20/0.52 % (29364)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 TRYING [1]
% 0.20/0.53 % (29371)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (29387)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)
% 0.20/0.53 % (29367)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)
% 0.20/0.53 % (29390)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 % (29370)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)
% 0.20/0.53 % (29372)Instruction limit reached!
% 0.20/0.53 % (29372)------------------------------
% 0.20/0.53 % (29372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (29372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (29372)Termination reason: Unknown
% 0.20/0.53 % (29372)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (29372)Memory used [KB]: 5373
% 0.20/0.53 % (29372)Time elapsed: 0.004 s
% 0.20/0.53 % (29372)Instructions burned: 3 (million)
% 0.20/0.53 % (29372)------------------------------
% 0.20/0.53 % (29372)------------------------------
% 0.20/0.53 % (29366)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 % (29393)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 % (29374)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (29388)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 [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 TRYING [3]
% 0.20/0.54 % (29378)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)
% 0.20/0.54 % (29385)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)
% 0.20/0.54 % (29394)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 % (29376)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (29382)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (29392)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 % (29389)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 % (29391)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)
% 0.20/0.54 % (29375)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)
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (29380)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 % (29383)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 % (29381)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (29371)Instruction limit reached!
% 0.20/0.55 % (29371)------------------------------
% 0.20/0.55 % (29371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (29371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (29371)Termination reason: Unknown
% 0.20/0.55 % (29371)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (29371)Memory used [KB]: 5628
% 0.20/0.55 % (29371)Time elapsed: 0.112 s
% 0.20/0.55 % (29371)Instructions burned: 8 (million)
% 0.20/0.55 % (29371)------------------------------
% 0.20/0.55 % (29371)------------------------------
% 0.20/0.55 TRYING [3]
% 0.20/0.56 TRYING [4]
% 1.63/0.56 % (29386)Refutation found. Thanks to Tanya!
% 1.63/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.56 % (29386)------------------------------
% 1.63/0.56 % (29386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.56 % (29386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.56 % (29386)Termination reason: Refutation
% 1.63/0.56
% 1.63/0.56 % (29386)Memory used [KB]: 5756
% 1.63/0.56 % (29386)Time elapsed: 0.127 s
% 1.63/0.56 % (29386)Instructions burned: 18 (million)
% 1.63/0.56 % (29386)------------------------------
% 1.63/0.56 % (29386)------------------------------
% 1.63/0.56 % (29360)Success in time 0.208 s
%------------------------------------------------------------------------------