TSTP Solution File: GRP325-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP325-1 : 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 16:21:18 EDT 2022
% Result : Unsatisfiable 1.84s 0.61s
% Output : Refutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 71
% Syntax : Number of formulae : 304 ( 10 unt; 0 def)
% Number of atoms : 1054 ( 372 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1462 ( 712 ~; 718 |; 0 &)
% ( 32 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 33 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f961,plain,
$false,
inference(avatar_sat_refutation,[],[f69,f78,f86,f91,f115,f123,f128,f133,f147,f152,f154,f155,f160,f163,f164,f165,f166,f167,f168,f170,f171,f172,f173,f174,f175,f176,f177,f178,f179,f180,f184,f185,f186,f188,f189,f194,f195,f196,f198,f222,f224,f262,f311,f321,f333,f341,f348,f362,f588,f637,f656,f674,f690,f718,f798,f846,f888,f906,f958]) ).
fof(f958,plain,
( ~ spl4_1
| ~ spl4_9
| ~ spl4_11
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| spl4_26
| ~ spl4_37 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl4_1
| ~ spl4_9
| ~ spl4_11
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| spl4_26
| ~ spl4_37 ),
inference(subsumption_resolution,[],[f956,f217]) ).
fof(f217,plain,
( sk_c9 != inverse(identity)
| spl4_26 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl4_26
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f956,plain,
( sk_c9 = inverse(identity)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_11
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| ~ spl4_37 ),
inference(forward_demodulation,[],[f955,f875]) ).
fof(f875,plain,
( sk_c9 = sk_c4
| ~ spl4_1
| ~ spl4_21
| ~ spl4_37 ),
inference(forward_demodulation,[],[f753,f813]) ).
fof(f813,plain,
( sk_c9 = multiply(inverse(sk_c10),identity)
| ~ spl4_1
| ~ spl4_37 ),
inference(backward_demodulation,[],[f747,f672]) ).
fof(f672,plain,
( sk_c10 = sk_c8
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f671,plain,
( spl4_37
<=> sk_c10 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f747,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl4_1 ),
inference(superposition,[],[f234,f550]) ).
fof(f550,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl4_1 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl4_1
<=> sk_c8 = inverse(sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f234,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f227,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f227,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(f753,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl4_21 ),
inference(superposition,[],[f234,f598]) ).
fof(f598,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl4_21 ),
inference(superposition,[],[f2,f159]) ).
fof(f159,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f157,plain,
( spl4_21
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f955,plain,
( sk_c4 = inverse(identity)
| ~ spl4_1
| ~ spl4_9
| ~ spl4_11
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| ~ spl4_37 ),
inference(forward_demodulation,[],[f757,f898]) ).
fof(f898,plain,
( identity = sk_c7
| ~ spl4_1
| ~ spl4_9
| ~ spl4_11
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f733,f896]) ).
fof(f896,plain,
( ! [X8] : multiply(sk_c10,X8) = X8
| ~ spl4_1
| ~ spl4_12
| ~ spl4_16
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f884,f892]) ).
fof(f892,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl4_1
| ~ spl4_16
| ~ spl4_37 ),
inference(forward_demodulation,[],[f848,f804]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c9,X0)) = X0
| ~ spl4_1
| ~ spl4_37 ),
inference(backward_demodulation,[],[f549,f672]) ).
fof(f549,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
| ~ spl4_1 ),
inference(superposition,[],[f234,f64]) ).
fof(f848,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c9,X0))
| ~ spl4_1
| ~ spl4_16
| ~ spl4_37 ),
inference(backward_demodulation,[],[f808,f847]) ).
fof(f847,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,X0)
| ~ spl4_1
| ~ spl4_16
| ~ spl4_37 ),
inference(backward_demodulation,[],[f815,f808]) ).
fof(f815,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl4_1
| ~ spl4_37 ),
inference(backward_demodulation,[],[f793,f672]) ).
fof(f793,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c10,X0)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f789,f64]) ).
fof(f789,plain,
! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c8,X0)),
inference(superposition,[],[f234,f228]) ).
fof(f228,plain,
! [X8] : multiply(sk_c8,X8) = multiply(sk_c9,multiply(sk_c10,X8)),
inference(superposition,[],[f3,f4]) ).
fof(f4,axiom,
multiply(sk_c9,sk_c10) = sk_c8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f808,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl4_16
| ~ spl4_37 ),
inference(backward_demodulation,[],[f614,f672]) ).
fof(f614,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c8,X0))
| ~ spl4_16 ),
inference(superposition,[],[f3,f132]) ).
fof(f132,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl4_16
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f884,plain,
( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c9,X8)
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f802,f879]) ).
fof(f879,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f611,f875]) ).
fof(f611,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl4_12 ),
inference(superposition,[],[f3,f114]) ).
fof(f114,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl4_12
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f802,plain,
( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c9,multiply(sk_c10,X8))
| ~ spl4_37 ),
inference(backward_demodulation,[],[f228,f672]) ).
fof(f733,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f730,f109]) ).
fof(f109,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl4_11
<=> sk_c10 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f730,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl4_9 ),
inference(superposition,[],[f234,f422]) ).
fof(f422,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl4_9 ),
inference(superposition,[],[f2,f100]) ).
fof(f100,plain,
( inverse(sk_c7) = sk_c6
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl4_9
<=> inverse(sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f757,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl4_9
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f100,f755]) ).
fof(f755,plain,
( sk_c4 = sk_c6
| ~ spl4_11
| ~ spl4_21 ),
inference(backward_demodulation,[],[f750,f753]) ).
fof(f750,plain,
( sk_c6 = multiply(inverse(sk_c10),identity)
| ~ spl4_11 ),
inference(superposition,[],[f234,f596]) ).
fof(f596,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl4_11 ),
inference(superposition,[],[f2,f109]) ).
fof(f906,plain,
( spl4_24
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f816,f671,f157,f112,f62,f206]) ).
fof(f206,plain,
( spl4_24
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f816,plain,
( identity = sk_c10
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f612,f805]) ).
fof(f805,plain,
( identity = multiply(sk_c10,sk_c9)
| ~ spl4_1
| ~ spl4_37 ),
inference(backward_demodulation,[],[f550,f672]) ).
fof(f612,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl4_12
| ~ spl4_21 ),
inference(forward_demodulation,[],[f610,f159]) ).
fof(f610,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl4_12 ),
inference(superposition,[],[f234,f114]) ).
fof(f888,plain,
( spl4_36
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f876,f671,f157,f112,f62,f667]) ).
fof(f667,plain,
( spl4_36
<=> sk_c9 = multiply(sk_c9,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f876,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl4_1
| ~ spl4_12
| ~ spl4_21
| ~ spl4_37 ),
inference(backward_demodulation,[],[f114,f875]) ).
fof(f846,plain,
( ~ spl4_1
| ~ spl4_16
| spl4_27
| ~ spl4_37 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl4_1
| ~ spl4_16
| spl4_27
| ~ spl4_37 ),
inference(subsumption_resolution,[],[f844,f221]) ).
fof(f221,plain,
( sk_c9 != sk_c10
| spl4_27 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl4_27
<=> sk_c9 = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f844,plain,
( sk_c9 = sk_c10
| ~ spl4_1
| ~ spl4_16
| ~ spl4_37 ),
inference(backward_demodulation,[],[f806,f801]) ).
fof(f801,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl4_16
| ~ spl4_37 ),
inference(backward_demodulation,[],[f132,f672]) ).
fof(f806,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl4_1
| ~ spl4_37 ),
inference(backward_demodulation,[],[f590,f672]) ).
fof(f590,plain,
( sk_c10 = multiply(sk_c8,sk_c8)
| ~ spl4_1 ),
inference(forward_demodulation,[],[f245,f64]) ).
fof(f245,plain,
sk_c10 = multiply(inverse(sk_c9),sk_c8),
inference(superposition,[],[f234,f4]) ).
fof(f798,plain,
( spl4_37
| ~ spl4_1
| ~ spl4_4
| ~ spl4_16
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f795,f149,f130,f75,f62,f671]) ).
fof(f75,plain,
( spl4_4
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f149,plain,
( spl4_20
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f795,plain,
( sk_c10 = sk_c8
| ~ spl4_1
| ~ spl4_4
| ~ spl4_16
| ~ spl4_20 ),
inference(backward_demodulation,[],[f557,f794]) ).
fof(f794,plain,
( sk_c10 = multiply(sk_c9,sk_c9)
| ~ spl4_1
| ~ spl4_16 ),
inference(forward_demodulation,[],[f787,f590]) ).
fof(f787,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl4_16 ),
inference(superposition,[],[f228,f132]) ).
fof(f557,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl4_4
| ~ spl4_20 ),
inference(forward_demodulation,[],[f555,f151]) ).
fof(f151,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f555,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl4_4 ),
inference(superposition,[],[f234,f77]) ).
fof(f77,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f718,plain,
( ~ spl4_37
| ~ spl4_1
| ~ spl4_16
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f717,f145,f130,f62,f671]) ).
fof(f145,plain,
( spl4_19
<=> ! [X5] :
( sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f717,plain,
( sk_c10 != sk_c8
| ~ spl4_1
| ~ spl4_16
| ~ spl4_19 ),
inference(subsumption_resolution,[],[f716,f132]) ).
fof(f716,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != sk_c8
| ~ spl4_1
| ~ spl4_19 ),
inference(forward_demodulation,[],[f707,f4]) ).
fof(f707,plain,
( sk_c10 != sk_c8
| sk_c9 != multiply(sk_c10,multiply(sk_c9,sk_c10))
| ~ spl4_1
| ~ spl4_19 ),
inference(superposition,[],[f146,f64]) ).
fof(f146,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10)) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f690,plain,
( ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl4_8
| ~ spl4_9
| ~ spl4_11
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f688,f109]) ).
fof(f688,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl4_8
| ~ spl4_9
| ~ spl4_23 ),
inference(subsumption_resolution,[],[f679,f95]) ).
fof(f95,plain,
( sk_c6 = multiply(sk_c7,sk_c10)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl4_8
<=> sk_c6 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f679,plain,
( sk_c6 != multiply(sk_c7,sk_c10)
| sk_c10 != inverse(sk_c6)
| ~ spl4_9
| ~ spl4_23 ),
inference(superposition,[],[f193,f100]) ).
fof(f193,plain,
( ! [X8] :
( sk_c10 != inverse(inverse(X8))
| inverse(X8) != multiply(X8,sk_c10) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl4_23
<=> ! [X8] :
( inverse(X8) != multiply(X8,sk_c10)
| sk_c10 != inverse(inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f674,plain,
( ~ spl4_36
| ~ spl4_37
| ~ spl4_1
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f647,f182,f62,f671,f667]) ).
fof(f182,plain,
( spl4_22
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f647,plain,
( sk_c10 != sk_c8
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl4_1
| ~ spl4_22 ),
inference(superposition,[],[f183,f64]) ).
fof(f183,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f656,plain,
( ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(avatar_contradiction_clause,[],[f655]) ).
fof(f655,plain,
( $false
| ~ spl4_12
| ~ spl4_21
| ~ spl4_22 ),
inference(subsumption_resolution,[],[f653,f114]) ).
fof(f653,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl4_21
| ~ spl4_22 ),
inference(trivial_inequality_removal,[],[f649]) ).
fof(f649,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| sk_c10 != sk_c10
| ~ spl4_21
| ~ spl4_22 ),
inference(superposition,[],[f183,f159]) ).
fof(f637,plain,
( ~ spl4_4
| ~ spl4_14
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f636]) ).
fof(f636,plain,
( $false
| ~ spl4_4
| ~ spl4_14
| ~ spl4_20 ),
inference(subsumption_resolution,[],[f626,f77]) ).
fof(f626,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| ~ spl4_14
| ~ spl4_20 ),
inference(trivial_inequality_removal,[],[f622]) ).
fof(f622,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c9 != sk_c9
| ~ spl4_14
| ~ spl4_20 ),
inference(superposition,[],[f122,f151]) ).
fof(f122,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl4_14
<=> ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f588,plain,
( ~ spl4_1
| ~ spl4_3
| spl4_10
| ~ spl4_16
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl4_1
| ~ spl4_3
| spl4_10
| ~ spl4_16
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f583,f575]) ).
fof(f575,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl4_1
| ~ spl4_16
| ~ spl4_24 ),
inference(backward_demodulation,[],[f547,f564]) ).
fof(f564,plain,
( sk_c9 = sk_c8
| ~ spl4_16
| ~ spl4_24 ),
inference(superposition,[],[f504,f1]) ).
fof(f504,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl4_16
| ~ spl4_24 ),
inference(forward_demodulation,[],[f132,f207]) ).
fof(f207,plain,
( identity = sk_c10
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f547,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl4_1
| ~ spl4_24 ),
inference(backward_demodulation,[],[f506,f64]) ).
fof(f506,plain,
( identity = multiply(inverse(sk_c9),sk_c8)
| ~ spl4_24 ),
inference(forward_demodulation,[],[f245,f207]) ).
fof(f583,plain,
( identity != multiply(sk_c9,sk_c9)
| ~ spl4_1
| ~ spl4_3
| spl4_10
| ~ spl4_16
| ~ spl4_24 ),
inference(backward_demodulation,[],[f548,f582]) ).
fof(f582,plain,
( sk_c9 = sk_c1
| ~ spl4_1
| ~ spl4_3
| ~ spl4_16
| ~ spl4_24 ),
inference(forward_demodulation,[],[f572,f574]) ).
fof(f574,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl4_16
| ~ spl4_24 ),
inference(backward_demodulation,[],[f505,f564]) ).
fof(f505,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl4_24 ),
inference(forward_demodulation,[],[f4,f207]) ).
fof(f572,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl4_1
| ~ spl4_3
| ~ spl4_16
| ~ spl4_24 ),
inference(backward_demodulation,[],[f405,f564]) ).
fof(f405,plain,
( sk_c1 = multiply(sk_c8,identity)
| ~ spl4_1
| ~ spl4_3 ),
inference(backward_demodulation,[],[f246,f64]) ).
fof(f246,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl4_3 ),
inference(superposition,[],[f234,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl4_3 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl4_3
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f548,plain,
( identity != multiply(sk_c1,sk_c9)
| spl4_10
| ~ spl4_24 ),
inference(forward_demodulation,[],[f103,f207]) ).
fof(f103,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| spl4_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl4_10
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f362,plain,
( ~ spl4_15
| ~ spl4_23
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f361]) ).
fof(f361,plain,
( $false
| ~ spl4_15
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f360,f278]) ).
fof(f278,plain,
( identity = inverse(identity)
| ~ spl4_15
| ~ spl4_24 ),
inference(backward_demodulation,[],[f266,f277]) ).
fof(f277,plain,
( identity = sk_c2
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f273,f2]) ).
fof(f273,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl4_15
| ~ spl4_24 ),
inference(backward_demodulation,[],[f248,f207]) ).
fof(f248,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl4_15 ),
inference(superposition,[],[f234,f200]) ).
fof(f200,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl4_15 ),
inference(superposition,[],[f2,f127]) ).
fof(f127,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl4_15
<=> sk_c10 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f266,plain,
( identity = inverse(sk_c2)
| ~ spl4_15
| ~ spl4_24 ),
inference(backward_demodulation,[],[f127,f207]) ).
fof(f360,plain,
( identity != inverse(identity)
| ~ spl4_15
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f359,f278]) ).
fof(f359,plain,
( identity != inverse(inverse(identity))
| ~ spl4_15
| ~ spl4_23
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f351,f278]) ).
fof(f351,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl4_23
| ~ spl4_24 ),
inference(superposition,[],[f350,f1]) ).
fof(f350,plain,
( ! [X8] :
( inverse(X8) != multiply(X8,identity)
| identity != inverse(inverse(X8)) )
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f349,f207]) ).
fof(f349,plain,
( ! [X8] :
( inverse(X8) != multiply(X8,sk_c10)
| identity != inverse(inverse(X8)) )
| ~ spl4_23
| ~ spl4_24 ),
inference(forward_demodulation,[],[f193,f207]) ).
fof(f348,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_22
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f347,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_22
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f346,f1]) ).
fof(f346,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_22
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f345]) ).
fof(f345,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_22
| ~ spl4_24 ),
inference(superposition,[],[f344,f278]) ).
fof(f344,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_22
| ~ spl4_24 ),
inference(forward_demodulation,[],[f343,f289]) ).
fof(f289,plain,
( identity = sk_c9
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(backward_demodulation,[],[f274,f288]) ).
fof(f288,plain,
( ! [X10] : multiply(sk_c9,X10) = X10
| ~ spl4_2
| ~ spl4_7
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f287,plain,
( ! [X10] : multiply(sk_c9,X10) = multiply(identity,X10)
| ~ spl4_2
| ~ spl4_7
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f286,plain,
( ! [X10] : multiply(sk_c9,X10) = multiply(identity,multiply(identity,X10))
| ~ spl4_2
| ~ spl4_7
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f268,f281]) ).
fof(f281,plain,
( identity = sk_c3
| ~ spl4_7
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f280,f1]) ).
fof(f280,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl4_7
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f264,f277]) ).
fof(f264,plain,
( sk_c3 = multiply(sk_c2,identity)
| ~ spl4_7
| ~ spl4_24 ),
inference(backward_demodulation,[],[f90,f207]) ).
fof(f90,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl4_7
<=> sk_c3 = multiply(sk_c2,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f268,plain,
( ! [X10] : multiply(sk_c9,X10) = multiply(identity,multiply(sk_c3,X10))
| ~ spl4_2
| ~ spl4_24 ),
inference(backward_demodulation,[],[f230,f207]) ).
fof(f230,plain,
( ! [X10] : multiply(sk_c10,multiply(sk_c3,X10)) = multiply(sk_c9,X10)
| ~ spl4_2 ),
inference(superposition,[],[f3,f68]) ).
fof(f68,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl4_2
<=> sk_c9 = multiply(sk_c10,sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f274,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl4_3
| ~ spl4_10
| ~ spl4_24 ),
inference(backward_demodulation,[],[f256,f207]) ).
fof(f256,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl4_3
| ~ spl4_10 ),
inference(forward_demodulation,[],[f249,f73]) ).
fof(f249,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl4_10 ),
inference(superposition,[],[f234,f104]) ).
fof(f104,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f343,plain,
( ! [X6] :
( sk_c9 != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl4_22
| ~ spl4_24 ),
inference(forward_demodulation,[],[f342,f207]) ).
fof(f342,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl4_22
| ~ spl4_24 ),
inference(forward_demodulation,[],[f183,f207]) ).
fof(f341,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f340]) ).
fof(f340,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f339,f1]) ).
fof(f339,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(forward_demodulation,[],[f338,f1]) ).
fof(f338,plain,
( identity != multiply(identity,multiply(identity,identity))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f337,plain,
( identity != identity
| identity != multiply(identity,multiply(identity,identity))
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(superposition,[],[f336,f278]) ).
fof(f336,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != multiply(identity,multiply(X5,identity)) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_19
| ~ spl4_24 ),
inference(forward_demodulation,[],[f335,f289]) ).
fof(f335,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c9 != multiply(identity,multiply(X5,identity)) )
| ~ spl4_19
| ~ spl4_24 ),
inference(forward_demodulation,[],[f334,f207]) ).
fof(f334,plain,
( ! [X5] :
( sk_c10 != inverse(X5)
| sk_c9 != multiply(identity,multiply(X5,identity)) )
| ~ spl4_19
| ~ spl4_24 ),
inference(forward_demodulation,[],[f146,f207]) ).
fof(f333,plain,
( ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f331,f1]) ).
fof(f331,plain,
( identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(trivial_inequality_removal,[],[f330]) ).
fof(f330,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(superposition,[],[f326,f278]) ).
fof(f326,plain,
( ! [X7] :
( identity != inverse(X7)
| identity != multiply(X7,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f325,f289]) ).
fof(f325,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f324,f289]) ).
fof(f324,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,identity) )
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_14
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f122,f294]) ).
fof(f294,plain,
( identity = sk_c8
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(backward_demodulation,[],[f257,f289]) ).
fof(f257,plain,
( sk_c9 = sk_c8
| ~ spl4_3
| ~ spl4_10 ),
inference(backward_demodulation,[],[f4,f256]) ).
fof(f321,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f319,f294]) ).
fof(f319,plain,
( identity != sk_c8
| spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f318,f278]) ).
fof(f318,plain,
( sk_c8 != inverse(identity)
| spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_7
| ~ spl4_10
| ~ spl4_15
| ~ spl4_24 ),
inference(forward_demodulation,[],[f63,f289]) ).
fof(f63,plain,
( sk_c8 != inverse(sk_c9)
| spl4_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f311,plain,
( ~ spl4_3
| ~ spl4_10
| spl4_16
| ~ spl4_24 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| ~ spl4_3
| ~ spl4_10
| spl4_16
| ~ spl4_24 ),
inference(subsumption_resolution,[],[f276,f1]) ).
fof(f276,plain,
( sk_c9 != multiply(identity,sk_c9)
| ~ spl4_3
| ~ spl4_10
| spl4_16
| ~ spl4_24 ),
inference(backward_demodulation,[],[f260,f207]) ).
fof(f260,plain,
( sk_c9 != multiply(sk_c10,sk_c9)
| ~ spl4_3
| ~ spl4_10
| spl4_16 ),
inference(backward_demodulation,[],[f131,f257]) ).
fof(f131,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl4_16 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f262,plain,
( spl4_24
| ~ spl4_3
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f261,f102,f71,f206]) ).
fof(f261,plain,
( identity = sk_c10
| ~ spl4_3
| ~ spl4_10 ),
inference(forward_demodulation,[],[f258,f2]) ).
fof(f258,plain,
( sk_c10 = multiply(inverse(sk_c9),sk_c9)
| ~ spl4_3
| ~ spl4_10 ),
inference(backward_demodulation,[],[f245,f257]) ).
fof(f224,plain,
( ~ spl4_3
| ~ spl4_5
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl4_3
| ~ spl4_5
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f204,f73]) ).
fof(f204,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl4_5
| ~ spl4_10 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c1)
| ~ spl4_5
| ~ spl4_10 ),
inference(superposition,[],[f81,f104]) ).
fof(f81,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl4_5
<=> ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f222,plain,
( ~ spl4_26
| ~ spl4_27
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f201,f80,f219,f215]) ).
fof(f201,plain,
( sk_c9 != sk_c10
| sk_c9 != inverse(identity)
| ~ spl4_5 ),
inference(superposition,[],[f81,f1]) ).
fof(f198,plain,
( spl4_4
| spl4_15 ),
inference(avatar_split_clause,[],[f46,f125,f75]) ).
fof(f46,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f196,plain,
( spl4_15
| spl4_12 ),
inference(avatar_split_clause,[],[f41,f112,f125]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f195,plain,
( spl4_7
| spl4_21 ),
inference(avatar_split_clause,[],[f33,f157,f88]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f194,plain,
( spl4_17
| spl4_23 ),
inference(avatar_split_clause,[],[f55,f192,f137]) ).
fof(f137,plain,
( spl4_17
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f55,plain,
! [X8] :
( inverse(X8) != multiply(X8,sk_c10)
| sk_c10 != inverse(inverse(X8))
| sP1 ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X8] :
( inverse(X8) != multiply(X8,sk_c10)
| sk_c10 != inverse(inverse(X8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f189,plain,
( spl4_21
| spl4_15 ),
inference(avatar_split_clause,[],[f42,f125,f157]) ).
fof(f42,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f188,plain,
( spl4_8
| spl4_15 ),
inference(avatar_split_clause,[],[f49,f125,f93]) ).
fof(f49,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f186,plain,
( spl4_3
| spl4_9 ),
inference(avatar_split_clause,[],[f20,f98,f71]) ).
fof(f20,axiom,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f185,plain,
( spl4_20
| spl4_10 ),
inference(avatar_split_clause,[],[f9,f102,f149]) ).
fof(f9,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f184,plain,
( spl4_22
| spl4_18 ),
inference(avatar_split_clause,[],[f57,f141,f182]) ).
fof(f141,plain,
( spl4_18
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f57,plain,
! [X6] :
( sP2
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_D,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f180,plain,
( spl4_3
| spl4_16 ),
inference(avatar_split_clause,[],[f17,f130,f71]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f179,plain,
( spl4_3
| spl4_12 ),
inference(avatar_split_clause,[],[f14,f112,f71]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f178,plain,
( spl4_3
| spl4_21 ),
inference(avatar_split_clause,[],[f15,f157,f71]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f177,plain,
( spl4_2
| spl4_20 ),
inference(avatar_split_clause,[],[f27,f149,f66]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f176,plain,
( spl4_4
| spl4_10 ),
inference(avatar_split_clause,[],[f10,f102,f75]) ).
fof(f10,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f175,plain,
( spl4_3
| spl4_11 ),
inference(avatar_split_clause,[],[f21,f107,f71]) ).
fof(f21,axiom,
( sk_c10 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f174,plain,
( spl4_15
| spl4_9 ),
inference(avatar_split_clause,[],[f47,f98,f125]) ).
fof(f47,axiom,
( inverse(sk_c7) = sk_c6
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f173,plain,
( spl4_2
| spl4_21 ),
inference(avatar_split_clause,[],[f24,f157,f66]) ).
fof(f24,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f172,plain,
( spl4_4
| spl4_2 ),
inference(avatar_split_clause,[],[f28,f66,f75]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f171,plain,
( spl4_7
| spl4_12 ),
inference(avatar_split_clause,[],[f32,f112,f88]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f170,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f7,f102,f62]) ).
fof(f7,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f168,plain,
( spl4_11
| spl4_15 ),
inference(avatar_split_clause,[],[f48,f125,f107]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f167,plain,
( spl4_10
| spl4_16 ),
inference(avatar_split_clause,[],[f8,f130,f102]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f166,plain,
( spl4_7
| spl4_20 ),
inference(avatar_split_clause,[],[f36,f149,f88]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f165,plain,
( spl4_8
| spl4_3 ),
inference(avatar_split_clause,[],[f22,f71,f93]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f164,plain,
( spl4_7
| spl4_4 ),
inference(avatar_split_clause,[],[f37,f75,f88]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f163,plain,
( spl4_1
| spl4_3 ),
inference(avatar_split_clause,[],[f16,f71,f62]) ).
fof(f16,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f160,plain,
( spl4_10
| spl4_21 ),
inference(avatar_split_clause,[],[f6,f157,f102]) ).
fof(f6,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f155,plain,
( spl4_3
| spl4_20 ),
inference(avatar_split_clause,[],[f18,f149,f71]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f154,plain,
( spl4_12
| spl4_2 ),
inference(avatar_split_clause,[],[f23,f66,f112]) ).
fof(f23,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f152,plain,
( spl4_15
| spl4_20 ),
inference(avatar_split_clause,[],[f45,f149,f125]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f147,plain,
( ~ spl4_17
| ~ spl4_13
| ~ spl4_1
| ~ spl4_6
| ~ spl4_16
| ~ spl4_18
| spl4_19 ),
inference(avatar_split_clause,[],[f135,f145,f141,f130,f83,f62,f117,f137]) ).
fof(f117,plain,
( spl4_13
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f83,plain,
( spl4_6
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f135,plain,
! [X5] :
( sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| ~ sP2
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ sP0
| sk_c8 != inverse(sk_c9)
| ~ sP3
| sk_c10 != inverse(X5)
| ~ sP1 ),
inference(subsumption_resolution,[],[f60,f4]) ).
fof(f60,plain,
! [X5] :
( ~ sP2
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c8 != inverse(sk_c9)
| ~ sP0
| ~ sP1
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c9 != multiply(sk_c10,sk_c8)
| ~ sP3
| sk_c10 != inverse(X5) ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f59,plain,
! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sP3 ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
! [X7,X5] :
( sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X5)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X6,X7,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f54,plain,
! [X8,X6,X7,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(inverse(X8))
| sk_c10 != inverse(X5)
| inverse(X8) != multiply(X8,sk_c10)
| ~ sP0 ),
inference(general_splitting,[],[f52,f53_D]) ).
fof(f53,plain,
! [X3] :
( sP0
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ),
inference(cnf_transformation,[],[f53_D]) ).
fof(f53_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f52,plain,
! [X3,X8,X6,X7,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c9 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(inverse(X8))
| sk_c10 != inverse(X5)
| inverse(X8) != multiply(X8,sk_c10) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X3,X8,X6,X9,X7,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c9 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| inverse(X8) != X9
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,multiply(X5,sk_c10))
| sk_c10 != inverse(X9)
| sk_c10 != inverse(X5)
| multiply(X8,sk_c10) != X9 ),
inference(equality_resolution,[],[f50]) ).
fof(f50,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c9 != inverse(X3)
| sk_c10 != multiply(X3,sk_c9)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| multiply(X5,sk_c10) != X4
| inverse(X8) != X9
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X7)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,X4)
| sk_c10 != inverse(X9)
| sk_c10 != inverse(X5)
| multiply(X8,sk_c10) != X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f133,plain,
( spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f44,f130,f125]) ).
fof(f44,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f128,plain,
( spl4_15
| spl4_1 ),
inference(avatar_split_clause,[],[f43,f62,f125]) ).
fof(f43,axiom,
( sk_c8 = inverse(sk_c9)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f123,plain,
( spl4_13
| spl4_14 ),
inference(avatar_split_clause,[],[f59,f121,f117]) ).
fof(f115,plain,
( spl4_12
| spl4_10 ),
inference(avatar_split_clause,[],[f5,f102,f112]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f91,plain,
( spl4_7
| spl4_1 ),
inference(avatar_split_clause,[],[f34,f62,f88]) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c9)
| sk_c3 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f86,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f53,f83,f80]) ).
fof(f78,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f19,f75,f71]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f69,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f25,f66,f62]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c8 = inverse(sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP325-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:21:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (18269)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)
% 0.20/0.48 % (18252)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 TRYING [1]
% 0.20/0.49 TRYING [2]
% 0.20/0.50 TRYING [3]
% 0.20/0.50 % (18257)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 TRYING [4]
% 0.20/0.52 % (18252)Instruction limit reached!
% 0.20/0.52 % (18252)------------------------------
% 0.20/0.52 % (18252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18252)Termination reason: Unknown
% 0.20/0.52 % (18252)Termination phase: Finite model building SAT solving
% 0.20/0.52
% 0.20/0.52 % (18252)Memory used [KB]: 7036
% 0.20/0.52 % (18252)Time elapsed: 0.060 s
% 0.20/0.52 % (18252)Instructions burned: 51 (million)
% 0.20/0.52 % (18252)------------------------------
% 0.20/0.52 % (18252)------------------------------
% 0.20/0.52 % (18255)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 % (18261)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 % (18251)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (18249)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 % (18274)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 % (18265)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)
% 0.20/0.53 % (18246)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 % (18248)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 % (18250)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (18258)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 % (18273)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 % (18268)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)
% 0.20/0.54 % (18266)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 % (18267)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (18254)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 % (18247)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)
% 0.20/0.54 % (18256)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 % (18253)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (18259)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (18270)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (18260)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)
% 0.20/0.55 % (18272)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)
% 0.20/0.55 % (18271)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.56 % (18275)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)
% 0.20/0.56 TRYING [3]
% 0.20/0.56 % (18264)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (18262)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)
% 1.68/0.57 % (18263)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.68/0.57 % (18253)Instruction limit reached!
% 1.68/0.57 % (18253)------------------------------
% 1.68/0.57 % (18253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 % (18253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (18253)Termination reason: Unknown
% 1.68/0.57 % (18253)Termination phase: Saturation
% 1.68/0.57
% 1.68/0.57 % (18253)Memory used [KB]: 5500
% 1.68/0.57 % (18253)Time elapsed: 0.178 s
% 1.68/0.57 % (18253)Instructions burned: 8 (million)
% 1.68/0.57 % (18253)------------------------------
% 1.68/0.57 % (18253)------------------------------
% 1.68/0.57 TRYING [1]
% 1.68/0.57 TRYING [2]
% 1.68/0.57 % (18254)Instruction limit reached!
% 1.68/0.57 % (18254)------------------------------
% 1.68/0.57 % (18254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 % (18254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (18254)Termination reason: Unknown
% 1.68/0.57 % (18254)Termination phase: Saturation
% 1.68/0.57
% 1.68/0.57 % (18254)Memory used [KB]: 5373
% 1.68/0.57 % (18254)Time elapsed: 0.002 s
% 1.68/0.57 % (18254)Instructions burned: 2 (million)
% 1.68/0.57 % (18254)------------------------------
% 1.68/0.57 % (18254)------------------------------
% 1.68/0.58 TRYING [3]
% 1.68/0.58 TRYING [4]
% 1.84/0.59 % (18248)Instruction limit reached!
% 1.84/0.59 % (18248)------------------------------
% 1.84/0.59 % (18248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (18248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (18248)Termination reason: Unknown
% 1.84/0.59 % (18248)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (18248)Memory used [KB]: 1279
% 1.84/0.59 % (18248)Time elapsed: 0.188 s
% 1.84/0.59 % (18248)Instructions burned: 38 (million)
% 1.84/0.59 % (18248)------------------------------
% 1.84/0.59 % (18248)------------------------------
% 1.84/0.59 % (18255)Instruction limit reached!
% 1.84/0.59 % (18255)------------------------------
% 1.84/0.59 % (18255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.59 % (18255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.59 % (18255)Termination reason: Unknown
% 1.84/0.59 % (18255)Termination phase: Saturation
% 1.84/0.59
% 1.84/0.59 % (18255)Memory used [KB]: 1407
% 1.84/0.59 % (18255)Time elapsed: 0.205 s
% 1.84/0.59 % (18255)Instructions burned: 51 (million)
% 1.84/0.59 % (18255)------------------------------
% 1.84/0.59 % (18255)------------------------------
% 1.84/0.60 TRYING [4]
% 1.84/0.60 % (18267)First to succeed.
% 1.84/0.61 % (18267)Refutation found. Thanks to Tanya!
% 1.84/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.84/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.84/0.61 % (18267)------------------------------
% 1.84/0.61 % (18267)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (18267)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (18267)Termination reason: Refutation
% 1.84/0.61
% 1.84/0.61 % (18267)Memory used [KB]: 5884
% 1.84/0.61 % (18267)Time elapsed: 0.181 s
% 1.84/0.61 % (18267)Instructions burned: 26 (million)
% 1.84/0.61 % (18267)------------------------------
% 1.84/0.61 % (18267)------------------------------
% 1.84/0.61 % (18244)Success in time 0.257 s
%------------------------------------------------------------------------------