TSTP Solution File: GRP298-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP298-1 : 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_uns --cores 0 -t %d %s
% Computer : n024.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 16:15:15 EDT 2022
% Result : Unsatisfiable 2.13s 0.64s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 60
% Syntax : Number of formulae : 259 ( 32 unt; 0 def)
% Number of atoms : 803 ( 309 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1015 ( 471 ~; 526 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f713,plain,
$false,
inference(avatar_sat_refutation,[],[f91,f100,f105,f110,f119,f124,f129,f134,f135,f136,f137,f138,f141,f142,f152,f158,f159,f160,f162,f164,f165,f166,f167,f169,f170,f171,f172,f216,f264,f292,f299,f324,f355,f382,f405,f535,f568,f684,f706,f712]) ).
fof(f712,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27
| spl12_31 ),
inference(avatar_contradiction_clause,[],[f711]) ).
fof(f711,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27
| spl12_31 ),
inference(subsumption_resolution,[],[f710,f693]) ).
fof(f693,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f628,f682]) ).
fof(f682,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(forward_demodulation,[],[f676,f633]) ).
fof(f633,plain,
( sk_c8 = multiply(sk_c6,identity)
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_18 ),
inference(backward_demodulation,[],[f584,f627]) ).
fof(f627,plain,
( sk_c6 = sk_c2
| ~ spl12_7
| ~ spl12_9
| ~ spl12_18 ),
inference(backward_demodulation,[],[f398,f625]) ).
fof(f625,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl12_7
| ~ spl12_18 ),
inference(superposition,[],[f192,f583]) ).
fof(f583,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl12_7
| ~ spl12_18 ),
inference(backward_demodulation,[],[f555,f237]) ).
fof(f237,plain,
( identity = sk_c7
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl12_18
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f555,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f61,f114]) ).
fof(f114,plain,
( sk_c7 = sF10
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl12_7
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f61,plain,
multiply(sk_c8,sk_c6) = sF10,
introduced(function_definition,[]) ).
fof(f192,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f183,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f183,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f398,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f349,f123]) ).
fof(f123,plain,
( sk_c8 = sF8
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl12_9
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f349,plain,
sk_c2 = multiply(inverse(sF8),identity),
inference(superposition,[],[f192,f177]) ).
fof(f177,plain,
identity = multiply(sF8,sk_c2),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f584,plain,
( sk_c8 = multiply(sk_c2,identity)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_18 ),
inference(backward_demodulation,[],[f557,f237]) ).
fof(f557,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11 ),
inference(backward_demodulation,[],[f549,f427]) ).
fof(f427,plain,
( sk_c2 = sk_c3
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f422,f398]) ).
fof(f422,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f347,f128]) ).
fof(f128,plain,
( sk_c8 = sF4
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl12_10
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f347,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f192,f178]) ).
fof(f178,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f549,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f64,f133]) ).
fof(f133,plain,
( sk_c8 = sF11
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl12_11
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f64,plain,
multiply(sk_c3,sk_c7) = sF11,
introduced(function_definition,[]) ).
fof(f676,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(superposition,[],[f642,f583]) ).
fof(f642,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c8,X13)) = X13
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f619,f635]) ).
fof(f635,plain,
( sk_c8 = sk_c5
| ~ spl12_1
| ~ spl12_7
| ~ spl12_9
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f620,f628]) ).
fof(f620,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl12_1
| ~ spl12_15
| ~ spl12_18 ),
inference(backward_demodulation,[],[f412,f617]) ).
fof(f617,plain,
( sk_c6 = sk_c4
| ~ spl12_1
| ~ spl12_15
| ~ spl12_18 ),
inference(backward_demodulation,[],[f408,f614]) ).
fof(f614,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl12_15
| ~ spl12_18 ),
inference(superposition,[],[f192,f578]) ).
fof(f578,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl12_15
| ~ spl12_18 ),
inference(backward_demodulation,[],[f547,f237]) ).
fof(f547,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl12_15 ),
inference(forward_demodulation,[],[f46,f156]) ).
fof(f156,plain,
( sk_c7 = sF5
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f154,plain,
( spl12_15
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f46,plain,
multiply(sk_c5,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f408,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f346,f86]) ).
fof(f86,plain,
( sk_c5 = sF2
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl12_1
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f346,plain,
sk_c4 = multiply(inverse(sF2),identity),
inference(superposition,[],[f192,f179]) ).
fof(f179,plain,
identity = multiply(sF2,sk_c4),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f412,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f41,f86]) ).
fof(f619,plain,
( ! [X13] : multiply(sk_c6,multiply(sk_c5,X13)) = X13
| ~ spl12_1
| ~ spl12_6
| ~ spl12_15
| ~ spl12_18 ),
inference(backward_demodulation,[],[f592,f617]) ).
fof(f592,plain,
( ! [X13] : multiply(sk_c4,multiply(sk_c5,X13)) = X13
| ~ spl12_6
| ~ spl12_18 ),
inference(forward_demodulation,[],[f586,f1]) ).
fof(f586,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c4,multiply(sk_c5,X13))
| ~ spl12_6
| ~ spl12_18 ),
inference(backward_demodulation,[],[f562,f237]) ).
fof(f562,plain,
( ! [X13] : multiply(sk_c7,X13) = multiply(sk_c4,multiply(sk_c5,X13))
| ~ spl12_6 ),
inference(backward_demodulation,[],[f189,f109]) ).
fof(f109,plain,
( sk_c7 = sF0
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl12_6
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f189,plain,
! [X13] : multiply(sF0,X13) = multiply(sk_c4,multiply(sk_c5,X13)),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
multiply(sk_c4,sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f628,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl12_7
| ~ spl12_9
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f290,f627]) ).
fof(f290,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl12_27
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f710,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27
| spl12_31 ),
inference(forward_demodulation,[],[f323,f694]) ).
fof(f694,plain,
( sk_c8 = sk_c3
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f632,f682]) ).
fof(f632,plain,
( sk_c6 = sk_c3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_18 ),
inference(backward_demodulation,[],[f427,f627]) ).
fof(f323,plain,
( sk_c8 != inverse(sk_c3)
| spl12_31 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f321,plain,
( spl12_31
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_31])]) ).
fof(f706,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(subsumption_resolution,[],[f704,f581]) ).
fof(f581,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl12_10
| ~ spl12_11
| ~ spl12_18 ),
inference(backward_demodulation,[],[f552,f237]) ).
fof(f552,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_10
| ~ spl12_11 ),
inference(forward_demodulation,[],[f551,f128]) ).
fof(f551,plain,
( sk_c7 = multiply(sF4,sk_c8)
| ~ spl12_11 ),
inference(forward_demodulation,[],[f326,f133]) ).
fof(f326,plain,
sk_c7 = multiply(sF4,sF11),
inference(superposition,[],[f199,f64]) ).
fof(f199,plain,
! [X0] : multiply(sF4,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f178]) ).
fof(f704,plain,
( identity != multiply(sk_c8,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(forward_demodulation,[],[f703,f693]) ).
fof(f703,plain,
( identity != multiply(sk_c8,inverse(sk_c8))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( identity != identity
| identity != multiply(sk_c8,inverse(sk_c8))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(superposition,[],[f698,f2]) ).
fof(f698,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c8)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f687,f682]) ).
fof(f687,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c6)
| identity != multiply(X6,inverse(X6)) )
| ~ spl12_12
| ~ spl12_18 ),
inference(forward_demodulation,[],[f686,f237]) ).
fof(f686,plain,
( ! [X6] :
( identity != multiply(inverse(X6),sk_c6)
| sk_c7 != multiply(X6,inverse(X6)) )
| ~ spl12_12
| ~ spl12_18 ),
inference(forward_demodulation,[],[f145,f237]) ).
fof(f145,plain,
( ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c6)
| sk_c7 != multiply(X6,inverse(X6)) )
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl12_12
<=> ! [X6] :
( sk_c7 != multiply(X6,inverse(X6))
| sk_c7 != multiply(inverse(X6),sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f684,plain,
( ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl12_1
| spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_15
| ~ spl12_18
| ~ spl12_27 ),
inference(subsumption_resolution,[],[f682,f594]) ).
fof(f594,plain,
( sk_c8 != sk_c6
| spl12_5
| ~ spl12_9
| ~ spl12_18
| ~ spl12_27 ),
inference(backward_demodulation,[],[f103,f593]) ).
fof(f593,plain,
( sk_c8 = sF7
| ~ spl12_9
| ~ spl12_18
| ~ spl12_27 ),
inference(forward_demodulation,[],[f569,f461]) ).
fof(f461,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl12_9
| ~ spl12_27 ),
inference(forward_demodulation,[],[f459,f290]) ).
fof(f459,plain,
( sk_c8 = multiply(inverse(sk_c2),identity)
| ~ spl12_9 ),
inference(superposition,[],[f192,f403]) ).
fof(f403,plain,
( identity = multiply(sk_c2,sk_c8)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f54,f401]) ).
fof(f401,plain,
( identity = sF9
| ~ spl12_9 ),
inference(forward_demodulation,[],[f400,f2]) ).
fof(f400,plain,
( multiply(inverse(sk_c8),sk_c8) = sF9
| ~ spl12_9 ),
inference(backward_demodulation,[],[f351,f123]) ).
fof(f351,plain,
multiply(inverse(sF8),sk_c8) = sF9,
inference(superposition,[],[f192,f301]) ).
fof(f301,plain,
sk_c8 = multiply(sF8,sF9),
inference(superposition,[],[f197,f54]) ).
fof(f197,plain,
! [X0] : multiply(sF8,multiply(sk_c2,X0)) = X0,
inference(forward_demodulation,[],[f196,f1]) ).
fof(f196,plain,
! [X0] : multiply(identity,X0) = multiply(sF8,multiply(sk_c2,X0)),
inference(superposition,[],[f3,f177]) ).
fof(f54,plain,
multiply(sk_c2,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f569,plain,
( sF7 = multiply(sk_c8,identity)
| ~ spl12_18 ),
inference(backward_demodulation,[],[f49,f237]) ).
fof(f49,plain,
multiply(sk_c8,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f103,plain,
( sk_c6 != sF7
| spl12_5 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl12_5
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f568,plain,
( spl12_18
| ~ spl12_3
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f440,f121,f93,f236]) ).
fof(f93,plain,
( spl12_3
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f440,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_9 ),
inference(forward_demodulation,[],[f95,f401]) ).
fof(f95,plain,
( sk_c7 = sF9
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f535,plain,
( ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_18 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f534,plain,
( $false
| ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_18 ),
inference(subsumption_resolution,[],[f533,f524]) ).
fof(f524,plain,
( identity != sF3
| spl12_8
| ~ spl12_18 ),
inference(forward_demodulation,[],[f117,f237]) ).
fof(f117,plain,
( sk_c7 != sF3
| spl12_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl12_8
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f533,plain,
( identity = sF3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_18 ),
inference(backward_demodulation,[],[f42,f528]) ).
fof(f528,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl12_7
| ~ spl12_9
| ~ spl12_18 ),
inference(backward_demodulation,[],[f403,f525]) ).
fof(f525,plain,
( sk_c6 = sk_c2
| ~ spl12_7
| ~ spl12_9
| ~ spl12_18 ),
inference(backward_demodulation,[],[f398,f506]) ).
fof(f506,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl12_7
| ~ spl12_18 ),
inference(superposition,[],[f192,f454]) ).
fof(f454,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl12_7
| ~ spl12_18 ),
inference(forward_demodulation,[],[f61,f362]) ).
fof(f362,plain,
( identity = sF10
| ~ spl12_7
| ~ spl12_18 ),
inference(backward_demodulation,[],[f114,f237]) ).
fof(f42,plain,
multiply(sk_c6,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f405,plain,
( spl12_27
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f393,f121,f289]) ).
fof(f393,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f51,f123]) ).
fof(f382,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_14
| ~ spl12_18 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_14
| ~ spl12_18 ),
inference(subsumption_resolution,[],[f377,f309]) ).
fof(f309,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f307]) ).
fof(f307,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_14 ),
inference(superposition,[],[f151,f202]) ).
fof(f202,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_2
| ~ spl12_4 ),
inference(superposition,[],[f195,f176]) ).
fof(f176,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f47,f99]) ).
fof(f99,plain,
( sk_c7 = sF6
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl12_4
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f47,plain,
multiply(sk_c1,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl12_2 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl12_2 ),
inference(superposition,[],[f3,f180]) ).
fof(f180,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl12_2 ),
inference(superposition,[],[f2,f173]) ).
fof(f173,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f39,f90]) ).
fof(f90,plain,
( sk_c8 = sF1
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl12_2
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f39,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f151,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl12_14
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f377,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_18 ),
inference(backward_demodulation,[],[f173,f376]) ).
fof(f376,plain,
( sk_c8 = sk_c1
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_18 ),
inference(backward_demodulation,[],[f340,f375]) ).
fof(f375,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_18 ),
inference(backward_demodulation,[],[f338,f237]) ).
fof(f338,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(superposition,[],[f192,f209]) ).
fof(f209,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(backward_demodulation,[],[f175,f205]) ).
fof(f205,plain,
( sk_c8 = sk_c6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f174,f202]) ).
fof(f174,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl12_5 ),
inference(backward_demodulation,[],[f49,f104]) ).
fof(f104,plain,
( sk_c6 = sF7
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f175,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f42,f118]) ).
fof(f118,plain,
( sk_c7 = sF3
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f340,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_2 ),
inference(superposition,[],[f192,f180]) ).
fof(f355,plain,
( spl12_18
| ~ spl12_2
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f354,f97,f88,f236]) ).
fof(f354,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_4 ),
inference(forward_demodulation,[],[f339,f2]) ).
fof(f339,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_2
| ~ spl12_4 ),
inference(superposition,[],[f192,f202]) ).
fof(f324,plain,
( ~ spl12_31
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f308,f150,f131,f321]) ).
fof(f308,plain,
( sk_c8 != sF11
| sk_c8 != inverse(sk_c3)
| ~ spl12_14 ),
inference(superposition,[],[f151,f64]) ).
fof(f299,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f272,f173]) ).
fof(f272,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl12_4
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( sk_c8 != inverse(sk_c1)
| sk_c7 != sk_c7
| ~ spl12_4
| ~ spl12_13 ),
inference(superposition,[],[f148,f176]) ).
fof(f148,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl12_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f292,plain,
( ~ spl12_3
| ~ spl12_27
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f269,f147,f289,f93]) ).
fof(f269,plain,
( sk_c8 != inverse(sk_c2)
| sk_c7 != sF9
| ~ spl12_13 ),
inference(superposition,[],[f148,f54]) ).
fof(f264,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f262,f209]) ).
fof(f262,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f224,f176]) ).
fof(f224,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12 ),
inference(superposition,[],[f218,f173]) ).
fof(f218,plain,
( ! [X6] :
( sk_c7 != multiply(inverse(X6),sk_c8)
| sk_c7 != multiply(X6,inverse(X6)) )
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f145,f205]) ).
fof(f216,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| spl12_7
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f215,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| spl12_7
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f214,f113]) ).
fof(f113,plain,
( sk_c7 != sF10
| spl12_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f214,plain,
( sk_c7 = sF10
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(forward_demodulation,[],[f207,f209]) ).
fof(f207,plain,
( sF10 = multiply(sk_c8,sk_c8)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5 ),
inference(backward_demodulation,[],[f61,f205]) ).
fof(f172,plain,
( spl12_10
| spl12_4 ),
inference(avatar_split_clause,[],[f60,f97,f126]) ).
fof(f60,plain,
( sk_c7 = sF6
| sk_c8 = sF4 ),
inference(definition_folding,[],[f15,f44,f47]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f171,plain,
( spl12_10
| spl12_2 ),
inference(avatar_split_clause,[],[f45,f88,f126]) ).
fof(f45,plain,
( sk_c8 = sF1
| sk_c8 = sF4 ),
inference(definition_folding,[],[f23,f39,f44]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f170,plain,
( spl12_11
| spl12_4 ),
inference(avatar_split_clause,[],[f78,f97,f131]) ).
fof(f78,plain,
( sk_c7 = sF6
| sk_c8 = sF11 ),
inference(definition_folding,[],[f16,f47,f64]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f169,plain,
( spl12_2
| spl12_15 ),
inference(avatar_split_clause,[],[f76,f154,f88]) ).
fof(f76,plain,
( sk_c7 = sF5
| sk_c8 = sF1 ),
inference(definition_folding,[],[f27,f39,f46]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f167,plain,
( spl12_5
| spl12_1 ),
inference(avatar_split_clause,[],[f67,f84,f102]) ).
fof(f67,plain,
( sk_c5 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f10,f41,f49]) ).
fof(f10,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f166,plain,
( spl12_4
| spl12_15 ),
inference(avatar_split_clause,[],[f48,f154,f97]) ).
fof(f48,plain,
( sk_c7 = sF5
| sk_c7 = sF6 ),
inference(definition_folding,[],[f19,f47,f46]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f165,plain,
( spl12_7
| spl12_4 ),
inference(avatar_split_clause,[],[f63,f97,f112]) ).
fof(f63,plain,
( sk_c7 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f14,f47,f61]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f164,plain,
( spl12_5
| spl12_11 ),
inference(avatar_split_clause,[],[f65,f131,f102]) ).
fof(f65,plain,
( sk_c8 = sF11
| sk_c6 = sF7 ),
inference(definition_folding,[],[f8,f49,f64]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f162,plain,
( spl12_5
| spl12_15 ),
inference(avatar_split_clause,[],[f50,f154,f102]) ).
fof(f50,plain,
( sk_c7 = sF5
| sk_c6 = sF7 ),
inference(definition_folding,[],[f11,f46,f49]) ).
fof(f11,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f160,plain,
( spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f52,f121,f116]) ).
fof(f52,plain,
( sk_c8 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f29,f51,f42]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f159,plain,
( spl12_5
| spl12_7 ),
inference(avatar_split_clause,[],[f62,f112,f102]) ).
fof(f62,plain,
( sk_c7 = sF10
| sk_c6 = sF7 ),
inference(definition_folding,[],[f6,f49,f61]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f158,plain,
( spl12_6
| spl12_5 ),
inference(avatar_split_clause,[],[f69,f102,f107]) ).
fof(f69,plain,
( sk_c6 = sF7
| sk_c7 = sF0 ),
inference(definition_folding,[],[f9,f38,f49]) ).
fof(f9,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f152,plain,
( ~ spl12_7
| ~ spl12_8
| spl12_12
| spl12_13
| ~ spl12_5
| spl12_13
| spl12_14 ),
inference(avatar_split_clause,[],[f71,f150,f147,f102,f147,f144,f116,f112]) ).
fof(f71,plain,
! [X3,X6,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c6 != sF7
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c7 != multiply(inverse(X6),sk_c6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c7 != sF3
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c7 != sF10 ),
inference(definition_folding,[],[f37,f61,f42,f49]) ).
fof(f37,plain,
! [X3,X6,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X6,inverse(X6))
| sk_c7 != multiply(inverse(X6),sk_c6)
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f36]) ).
fof(f36,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| inverse(X6) != X7
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(X6,X7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c8 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f142,plain,
( spl12_9
| spl12_4 ),
inference(avatar_split_clause,[],[f53,f97,f121]) ).
fof(f53,plain,
( sk_c7 = sF6
| sk_c8 = sF8 ),
inference(definition_folding,[],[f13,f47,f51]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f141,plain,
( spl12_5
| spl12_9 ),
inference(avatar_split_clause,[],[f80,f121,f102]) ).
fof(f80,plain,
( sk_c8 = sF8
| sk_c6 = sF7 ),
inference(definition_folding,[],[f5,f49,f51]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f138,plain,
( spl12_4
| spl12_1 ),
inference(avatar_split_clause,[],[f72,f84,f97]) ).
fof(f72,plain,
( sk_c5 = sF2
| sk_c7 = sF6 ),
inference(definition_folding,[],[f18,f47,f41]) ).
fof(f18,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f137,plain,
( spl12_7
| spl12_2 ),
inference(avatar_split_clause,[],[f82,f88,f112]) ).
fof(f82,plain,
( sk_c8 = sF1
| sk_c7 = sF10 ),
inference(definition_folding,[],[f22,f61,f39]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f136,plain,
( spl12_2
| spl12_3 ),
inference(avatar_split_clause,[],[f55,f93,f88]) ).
fof(f55,plain,
( sk_c7 = sF9
| sk_c8 = sF1 ),
inference(definition_folding,[],[f20,f54,f39]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f135,plain,
( spl12_6
| spl12_4 ),
inference(avatar_split_clause,[],[f58,f97,f107]) ).
fof(f58,plain,
( sk_c7 = sF6
| sk_c7 = sF0 ),
inference(definition_folding,[],[f17,f38,f47]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f134,plain,
( spl12_2
| spl12_11 ),
inference(avatar_split_clause,[],[f77,f131,f88]) ).
fof(f77,plain,
( sk_c8 = sF11
| sk_c8 = sF1 ),
inference(definition_folding,[],[f24,f64,f39]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f129,plain,
( spl12_5
| spl12_10 ),
inference(avatar_split_clause,[],[f73,f126,f102]) ).
fof(f73,plain,
( sk_c8 = sF4
| sk_c6 = sF7 ),
inference(definition_folding,[],[f7,f44,f49]) ).
fof(f7,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f124,plain,
( spl12_9
| spl12_2 ),
inference(avatar_split_clause,[],[f66,f88,f121]) ).
fof(f66,plain,
( sk_c8 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f21,f39,f51]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f119,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f79,f116,f112]) ).
fof(f79,plain,
( sk_c7 = sF3
| sk_c7 = sF10 ),
inference(definition_folding,[],[f30,f61,f42]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f110,plain,
( spl12_6
| spl12_2 ),
inference(avatar_split_clause,[],[f40,f88,f107]) ).
fof(f40,plain,
( sk_c8 = sF1
| sk_c7 = sF0 ),
inference(definition_folding,[],[f25,f39,f38]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c4,sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f105,plain,
( spl12_3
| spl12_5 ),
inference(avatar_split_clause,[],[f57,f102,f93]) ).
fof(f57,plain,
( sk_c6 = sF7
| sk_c7 = sF9 ),
inference(definition_folding,[],[f4,f54,f49]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f100,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f75,f97,f93]) ).
fof(f75,plain,
( sk_c7 = sF6
| sk_c7 = sF9 ),
inference(definition_folding,[],[f12,f54,f47]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f91,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f59,f88,f84]) ).
fof(f59,plain,
( sk_c8 = sF1
| sk_c5 = sF2 ),
inference(definition_folding,[],[f26,f39,f41]) ).
fof(f26,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP298-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:28:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.54 % (12625)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (12608)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.54 % (12611)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (12604)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.55 % (12625)Refutation not found, incomplete strategy% (12625)------------------------------
% 0.21/0.55 % (12625)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (12625)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (12625)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (12625)Memory used [KB]: 5884
% 0.21/0.55 % (12625)Time elapsed: 0.084 s
% 0.21/0.55 % (12625)Instructions burned: 3 (million)
% 0.21/0.55 % (12625)------------------------------
% 0.21/0.55 % (12625)------------------------------
% 0.21/0.55 % (12607)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.56 % (12626)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.21/0.56 % (12627)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.56 % (12618)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (12618)Instruction limit reached!
% 0.21/0.56 % (12618)------------------------------
% 0.21/0.56 % (12618)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (12618)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (12618)Termination reason: Unknown
% 0.21/0.56 % (12618)Termination phase: Equality proxy
% 0.21/0.56
% 0.21/0.56 % (12618)Memory used [KB]: 1279
% 0.21/0.56 % (12618)Time elapsed: 0.002 s
% 0.21/0.56 % (12618)Instructions burned: 2 (million)
% 0.21/0.56 % (12618)------------------------------
% 0.21/0.56 % (12618)------------------------------
% 0.21/0.56 % (12604)Instruction limit reached!
% 0.21/0.56 % (12604)------------------------------
% 0.21/0.56 % (12604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (12622)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57 % (12605)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.57 % (12605)Refutation not found, incomplete strategy% (12605)------------------------------
% 0.21/0.57 % (12605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (12606)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.57 % (12602)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.57 % (12609)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57 % (12616)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.57 % (12619)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.71/0.58 % (12604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (12604)Termination reason: Unknown
% 1.71/0.58 % (12604)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (12604)Memory used [KB]: 5884
% 1.71/0.58 % (12604)Time elapsed: 0.004 s
% 1.71/0.58 % (12604)Instructions burned: 4 (million)
% 1.71/0.58 % (12604)------------------------------
% 1.71/0.58 % (12604)------------------------------
% 1.71/0.58 % (12606)Refutation not found, incomplete strategy% (12606)------------------------------
% 1.71/0.58 % (12606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (12606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (12606)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58
% 1.71/0.58 % (12606)Memory used [KB]: 5884
% 1.71/0.58 % (12606)Time elapsed: 0.164 s
% 1.71/0.58 % (12606)Instructions burned: 5 (million)
% 1.71/0.58 % (12606)------------------------------
% 1.71/0.58 % (12606)------------------------------
% 1.71/0.58 % (12614)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.71/0.58 % (12611)Instruction limit reached!
% 1.71/0.58 % (12611)------------------------------
% 1.71/0.58 % (12611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (12613)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.71/0.58 % (12617)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.71/0.58 % (12605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (12605)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58
% 1.71/0.58 % (12605)Memory used [KB]: 5884
% 1.71/0.58 % (12605)Time elapsed: 0.148 s
% 1.71/0.58 % (12605)Instructions burned: 6 (million)
% 1.71/0.58 % (12605)------------------------------
% 1.71/0.58 % (12605)------------------------------
% 1.71/0.58 % (12630)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.71/0.58 % (12615)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.58 % (12609)Refutation not found, incomplete strategy% (12609)------------------------------
% 1.71/0.58 % (12609)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (12609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (12609)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58
% 1.71/0.58 % (12609)Memory used [KB]: 5884
% 1.71/0.58 % (12609)Time elapsed: 0.163 s
% 1.71/0.58 % (12609)Instructions burned: 5 (million)
% 1.71/0.58 % (12609)------------------------------
% 1.71/0.58 % (12609)------------------------------
% 1.71/0.58 % (12612)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.71/0.58 % (12615)Instruction limit reached!
% 1.71/0.58 % (12615)------------------------------
% 1.71/0.58 % (12615)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (12615)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (12615)Termination reason: Unknown
% 1.71/0.58 % (12615)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (12615)Memory used [KB]: 5884
% 1.71/0.58 % (12615)Time elapsed: 0.003 s
% 1.71/0.58 % (12615)Instructions burned: 3 (million)
% 1.71/0.58 % (12615)------------------------------
% 1.71/0.58 % (12615)------------------------------
% 1.71/0.59 % (12603)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.71/0.59 % (12622)Instruction limit reached!
% 1.71/0.59 % (12622)------------------------------
% 1.71/0.59 % (12622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (12622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (12622)Termination reason: Unknown
% 1.71/0.59 % (12622)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (12622)Memory used [KB]: 1407
% 1.71/0.59 % (12622)Time elapsed: 0.170 s
% 1.71/0.59 % (12622)Instructions burned: 7 (million)
% 1.71/0.59 % (12622)------------------------------
% 1.71/0.59 % (12622)------------------------------
% 1.71/0.59 % (12623)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.71/0.59 % (12623)Refutation not found, incomplete strategy% (12623)------------------------------
% 1.71/0.59 % (12623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (12623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (12623)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.59
% 1.71/0.59 % (12623)Memory used [KB]: 5884
% 1.71/0.59 % (12623)Time elapsed: 0.178 s
% 1.71/0.59 % (12623)Instructions burned: 5 (million)
% 1.71/0.59 % (12623)------------------------------
% 1.71/0.59 % (12623)------------------------------
% 1.71/0.59 % (12619)Instruction limit reached!
% 1.71/0.59 % (12619)------------------------------
% 1.71/0.59 % (12619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (12619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (12619)Termination reason: Unknown
% 1.71/0.59 % (12619)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (12619)Memory used [KB]: 6012
% 1.71/0.59 % (12619)Time elapsed: 0.156 s
% 1.71/0.59 % (12619)Instructions burned: 9 (million)
% 1.71/0.59 % (12619)------------------------------
% 1.71/0.59 % (12619)------------------------------
% 1.71/0.59 % (12631)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.59 % (12614)Instruction limit reached!
% 1.71/0.59 % (12614)------------------------------
% 1.71/0.59 % (12614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (12614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (12614)Termination reason: Unknown
% 1.71/0.59 % (12614)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (12614)Memory used [KB]: 5884
% 1.71/0.59 % (12614)Time elapsed: 0.161 s
% 1.71/0.59 % (12614)Instructions burned: 6 (million)
% 1.71/0.59 % (12614)------------------------------
% 1.71/0.59 % (12614)------------------------------
% 1.71/0.59 % (12624)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.71/0.59 % (12628)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.71/0.60 % (12620)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.93/0.60 % (12608)Instruction limit reached!
% 1.93/0.60 % (12608)------------------------------
% 1.93/0.60 % (12608)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (12608)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (12608)Termination reason: Unknown
% 1.93/0.60 % (12608)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (12608)Memory used [KB]: 1918
% 1.93/0.60 % (12608)Time elapsed: 0.168 s
% 1.93/0.60 % (12608)Instructions burned: 50 (million)
% 1.93/0.60 % (12608)------------------------------
% 1.93/0.60 % (12608)------------------------------
% 1.93/0.60 % (12610)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.93/0.60 % (12611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (12611)Termination reason: Unknown
% 1.93/0.60 % (12611)Termination phase: Saturation
% 1.93/0.60
% 1.93/0.60 % (12611)Memory used [KB]: 6780
% 1.93/0.60 % (12611)Time elapsed: 0.120 s
% 1.93/0.60 % (12611)Instructions burned: 52 (million)
% 1.93/0.60 % (12611)------------------------------
% 1.93/0.60 % (12611)------------------------------
% 1.93/0.60 % (12617)Instruction limit reached!
% 1.93/0.60 % (12617)------------------------------
% 1.93/0.60 % (12617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.60 % (12617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.60 % (12617)Termination reason: Unknown
% 1.93/0.60 % (12617)Termination phase: Finite model building preprocessing
% 1.93/0.60
% 1.93/0.60 % (12617)Memory used [KB]: 1407
% 1.93/0.60 % (12617)Time elapsed: 0.004 s
% 1.93/0.60 % (12617)Instructions burned: 6 (million)
% 1.93/0.60 % (12617)------------------------------
% 1.93/0.60 % (12617)------------------------------
% 1.93/0.61 % (12607)Instruction limit reached!
% 1.93/0.61 % (12607)------------------------------
% 1.93/0.61 % (12607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (12607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (12607)Termination reason: Unknown
% 1.93/0.61 % (12607)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (12607)Memory used [KB]: 6140
% 1.93/0.61 % (12607)Time elapsed: 0.194 s
% 1.93/0.61 % (12607)Instructions burned: 26 (million)
% 1.93/0.61 % (12607)------------------------------
% 1.93/0.61 % (12607)------------------------------
% 1.93/0.61 % (12630)Instruction limit reached!
% 1.93/0.61 % (12630)------------------------------
% 1.93/0.61 % (12630)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (12630)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (12630)Termination reason: Unknown
% 1.93/0.61 % (12630)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (12630)Memory used [KB]: 6268
% 1.93/0.61 % (12630)Time elapsed: 0.191 s
% 1.93/0.61 % (12630)Instructions burned: 22 (million)
% 1.93/0.61 % (12630)------------------------------
% 1.93/0.61 % (12630)------------------------------
% 1.93/0.61 % (12621)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.93/0.61 % (12612)Instruction limit reached!
% 1.93/0.61 % (12612)------------------------------
% 1.93/0.61 % (12612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.61 % (12612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.61 % (12612)Termination reason: Unknown
% 1.93/0.61 % (12612)Termination phase: Saturation
% 1.93/0.61
% 1.93/0.61 % (12612)Memory used [KB]: 5884
% 1.93/0.61 % (12612)Time elapsed: 0.179 s
% 1.93/0.61 % (12612)Instructions burned: 6 (million)
% 1.93/0.61 % (12612)------------------------------
% 1.93/0.61 % (12612)------------------------------
% 1.93/0.61 % (12602)First to succeed.
% 1.93/0.62 % (12613)Instruction limit reached!
% 1.93/0.62 % (12613)------------------------------
% 1.93/0.62 % (12613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (12613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (12613)Termination reason: Unknown
% 1.93/0.62 % (12613)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (12613)Memory used [KB]: 6268
% 1.93/0.62 % (12613)Time elapsed: 0.187 s
% 1.93/0.62 % (12613)Instructions burned: 24 (million)
% 1.93/0.62 % (12613)------------------------------
% 1.93/0.62 % (12613)------------------------------
% 1.93/0.62 % (12610)Instruction limit reached!
% 1.93/0.62 % (12610)------------------------------
% 1.93/0.62 % (12610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.62 % (12610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.62 % (12610)Termination reason: Unknown
% 1.93/0.62 % (12610)Termination phase: Saturation
% 1.93/0.62
% 1.93/0.62 % (12610)Memory used [KB]: 5884
% 1.93/0.62 % (12610)Time elapsed: 0.207 s
% 1.93/0.62 % (12610)Instructions burned: 4 (million)
% 1.93/0.62 % (12610)------------------------------
% 1.93/0.62 % (12610)------------------------------
% 1.93/0.62 % (12629)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.93/0.63 % (12621)Instruction limit reached!
% 1.93/0.63 % (12621)------------------------------
% 1.93/0.63 % (12621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (12621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (12621)Termination reason: Unknown
% 1.93/0.63 % (12621)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (12621)Memory used [KB]: 6012
% 1.93/0.63 % (12621)Time elapsed: 0.198 s
% 1.93/0.63 % (12621)Instructions burned: 8 (million)
% 1.93/0.63 % (12621)------------------------------
% 1.93/0.63 % (12621)------------------------------
% 1.93/0.63 % (12616)Instruction limit reached!
% 1.93/0.63 % (12616)------------------------------
% 1.93/0.63 % (12616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.63 % (12616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.63 % (12616)Termination reason: Unknown
% 1.93/0.63 % (12616)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (12616)Memory used [KB]: 1663
% 1.93/0.63 % (12616)Time elapsed: 0.197 s
% 1.93/0.63 % (12616)Instructions burned: 29 (million)
% 1.93/0.63 % (12616)------------------------------
% 1.93/0.63 % (12616)------------------------------
% 2.13/0.63 % (12626)Instruction limit reached!
% 2.13/0.63 % (12626)------------------------------
% 2.13/0.63 % (12626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.63 % (12626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.63 % (12626)Termination reason: Unknown
% 2.13/0.63 % (12626)Termination phase: Saturation
% 2.13/0.63
% 2.13/0.63 % (12626)Memory used [KB]: 6908
% 2.13/0.63 % (12626)Time elapsed: 0.227 s
% 2.13/0.63 % (12626)Instructions burned: 46 (million)
% 2.13/0.63 % (12626)------------------------------
% 2.13/0.63 % (12626)------------------------------
% 2.13/0.64 % (12602)Refutation found. Thanks to Tanya!
% 2.13/0.64 % SZS status Unsatisfiable for theBenchmark
% 2.13/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 2.13/0.64 % (12602)------------------------------
% 2.13/0.64 % (12602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (12602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (12602)Termination reason: Refutation
% 2.13/0.64
% 2.13/0.64 % (12602)Memory used [KB]: 6268
% 2.13/0.64 % (12602)Time elapsed: 0.185 s
% 2.13/0.64 % (12602)Instructions burned: 23 (million)
% 2.13/0.64 % (12602)------------------------------
% 2.13/0.64 % (12602)------------------------------
% 2.13/0.64 % (12601)Success in time 0.289 s
%------------------------------------------------------------------------------