TSTP Solution File: GRP252-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP252-1 : 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 : n021.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 16:21:02 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 70
% Syntax : Number of formulae : 279 ( 32 unt; 0 def)
% Number of atoms : 713 ( 318 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 786 ( 352 ~; 407 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 28 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 24 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f983,plain,
$false,
inference(avatar_sat_refutation,[],[f125,f135,f144,f145,f155,f156,f157,f164,f165,f174,f176,f177,f178,f180,f181,f182,f183,f199,f201,f202,f203,f205,f206,f207,f209,f211,f212,f235,f246,f304,f393,f453,f457,f468,f518,f527,f537,f563,f608,f617,f649,f680,f757,f812,f817,f859,f909,f970]) ).
fof(f970,plain,
( ~ spl13_13
| ~ spl13_22
| ~ spl13_34
| spl13_35
| ~ spl13_39 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl13_13
| ~ spl13_22
| ~ spl13_34
| spl13_35
| ~ spl13_39 ),
inference(subsumption_resolution,[],[f968,f249]) ).
fof(f249,plain,
( identity = sk_c9
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl13_22
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f968,plain,
( identity != sk_c9
| ~ spl13_13
| ~ spl13_34
| spl13_35
| ~ spl13_39 ),
inference(forward_demodulation,[],[f967,f815]) ).
fof(f815,plain,
( identity = inverse(identity)
| ~ spl13_39 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl13_39
<=> identity = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f967,plain,
( sk_c9 != inverse(identity)
| ~ spl13_13
| ~ spl13_34
| spl13_35 ),
inference(forward_demodulation,[],[f612,f935]) ).
fof(f935,plain,
( identity = sk_c6
| ~ spl13_13
| ~ spl13_34 ),
inference(forward_demodulation,[],[f933,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f933,plain,
( sk_c6 = multiply(inverse(identity),identity)
| ~ spl13_13
| ~ spl13_34 ),
inference(backward_demodulation,[],[f641,f929]) ).
fof(f929,plain,
( identity = sF6
| ~ spl13_13
| ~ spl13_34 ),
inference(forward_demodulation,[],[f170,f316]) ).
fof(f316,plain,
( identity = sk_c8
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl13_34
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f170,plain,
( sk_c8 = sF6
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl13_13
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f641,plain,
sk_c6 = multiply(inverse(sF6),identity),
inference(superposition,[],[f334,f581]) ).
fof(f581,plain,
identity = multiply(sF6,sk_c6),
inference(superposition,[],[f2,f59]) ).
fof(f59,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f334,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f321,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f321,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,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(f612,plain,
( sk_c9 != inverse(sk_c6)
| spl13_35 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f610,plain,
( spl13_35
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f909,plain,
( ~ spl13_18
| ~ spl13_22
| ~ spl13_34
| ~ spl13_39 ),
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f908,plain,
( $false
| ~ spl13_18
| ~ spl13_22
| ~ spl13_34
| ~ spl13_39 ),
inference(subsumption_resolution,[],[f903,f815]) ).
fof(f903,plain,
( identity != inverse(identity)
| ~ spl13_18
| ~ spl13_22
| ~ spl13_34 ),
inference(trivial_inequality_removal,[],[f899]) ).
fof(f899,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl13_18
| ~ spl13_22
| ~ spl13_34 ),
inference(superposition,[],[f886,f1]) ).
fof(f886,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl13_18
| ~ spl13_22
| ~ spl13_34 ),
inference(forward_demodulation,[],[f885,f316]) ).
fof(f885,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| sk_c8 != inverse(X7) )
| ~ spl13_18
| ~ spl13_22
| ~ spl13_34 ),
inference(forward_demodulation,[],[f884,f249]) ).
fof(f884,plain,
( ! [X7] :
( sk_c9 != multiply(X7,identity)
| sk_c8 != inverse(X7) )
| ~ spl13_18
| ~ spl13_34 ),
inference(forward_demodulation,[],[f198,f316]) ).
fof(f198,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl13_18
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f859,plain,
( spl13_39
| ~ spl13_22
| ~ spl13_30 ),
inference(avatar_split_clause,[],[f858,f297,f248,f814]) ).
fof(f297,plain,
( spl13_30
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f858,plain,
( identity = inverse(identity)
| ~ spl13_22
| ~ spl13_30 ),
inference(forward_demodulation,[],[f298,f249]) ).
fof(f298,plain,
( sk_c9 = inverse(identity)
| ~ spl13_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f817,plain,
( ~ spl13_39
| ~ spl13_22
| ~ spl13_15
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f793,f315,f188,f248,f814]) ).
fof(f188,plain,
( spl13_15
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f793,plain,
( identity != sk_c9
| identity != inverse(identity)
| ~ spl13_15
| ~ spl13_34 ),
inference(forward_demodulation,[],[f788,f1]) ).
fof(f788,plain,
( sk_c9 != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl13_15
| ~ spl13_34 ),
inference(superposition,[],[f747,f1]) ).
fof(f747,plain,
( ! [X9] :
( sk_c9 != multiply(identity,multiply(X9,identity))
| identity != inverse(X9) )
| ~ spl13_15
| ~ spl13_34 ),
inference(forward_demodulation,[],[f693,f316]) ).
fof(f693,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| identity != inverse(X9) )
| ~ spl13_15
| ~ spl13_34 ),
inference(backward_demodulation,[],[f189,f316]) ).
fof(f189,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != inverse(X9) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f812,plain,
( ~ spl13_1
| ~ spl13_7
| spl13_22 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl13_1
| ~ spl13_7
| spl13_22 ),
inference(subsumption_resolution,[],[f810,f250]) ).
fof(f250,plain,
( identity != sk_c9
| spl13_22 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f810,plain,
( identity = sk_c9
| ~ spl13_1
| ~ spl13_7 ),
inference(forward_demodulation,[],[f808,f2]) ).
fof(f808,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl13_1
| ~ spl13_7 ),
inference(superposition,[],[f334,f577]) ).
fof(f577,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl13_1
| ~ spl13_7 ),
inference(backward_demodulation,[],[f550,f134]) ).
fof(f134,plain,
( sk_c9 = sF10
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl13_7
<=> sk_c9 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f550,plain,
( sk_c10 = multiply(sk_c10,sF10)
| ~ spl13_1 ),
inference(forward_demodulation,[],[f387,f106]) ).
fof(f106,plain,
( sk_c10 = sF8
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl13_1
<=> sk_c10 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f387,plain,
sk_c10 = multiply(sF8,sF10),
inference(forward_demodulation,[],[f355,f64]) ).
fof(f64,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f355,plain,
sk_c10 = multiply(inverse(sk_c1),sF10),
inference(superposition,[],[f334,f69]) ).
fof(f69,plain,
multiply(sk_c1,sk_c10) = sF10,
introduced(function_definition,[]) ).
fof(f757,plain,
( spl13_36
| ~ spl13_12
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f756,f315,f159,f614]) ).
fof(f614,plain,
( spl13_36
<=> sk_c9 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f159,plain,
( spl13_12
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f756,plain,
( sk_c9 = sk_c7
| ~ spl13_12
| ~ spl13_34 ),
inference(forward_demodulation,[],[f703,f351]) ).
fof(f351,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f334,f1]) ).
fof(f703,plain,
( sk_c7 = multiply(inverse(identity),sk_c9)
| ~ spl13_12
| ~ spl13_34 ),
inference(backward_demodulation,[],[f359,f316]) ).
fof(f359,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c9)
| ~ spl13_12 ),
inference(superposition,[],[f334,f217]) ).
fof(f217,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f54,f161]) ).
fof(f161,plain,
( sk_c9 = sF4
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f54,plain,
multiply(sk_c8,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f680,plain,
( spl13_34
| ~ spl13_3
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f679,f151,f113,f315]) ).
fof(f113,plain,
( spl13_3
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f151,plain,
( spl13_11
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f679,plain,
( identity = sk_c8
| ~ spl13_3
| ~ spl13_11 ),
inference(forward_demodulation,[],[f677,f2]) ).
fof(f677,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_3
| ~ spl13_11 ),
inference(superposition,[],[f334,f575]) ).
fof(f575,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_3
| ~ spl13_11 ),
inference(backward_demodulation,[],[f573,f115]) ).
fof(f115,plain,
( sk_c8 = sF7
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f573,plain,
( sk_c9 = multiply(sk_c9,sF7)
| ~ spl13_11 ),
inference(forward_demodulation,[],[f388,f153]) ).
fof(f153,plain,
( sk_c9 = sF2
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f388,plain,
sk_c9 = multiply(sF2,sF7),
inference(forward_demodulation,[],[f363,f51]) ).
fof(f51,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f363,plain,
sk_c9 = multiply(inverse(sk_c2),sF7),
inference(superposition,[],[f334,f61]) ).
fof(f61,plain,
multiply(sk_c2,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f649,plain,
( ~ spl13_4
| ~ spl13_9
| spl13_22 ),
inference(avatar_contradiction_clause,[],[f648]) ).
fof(f648,plain,
( $false
| ~ spl13_4
| ~ spl13_9
| spl13_22 ),
inference(subsumption_resolution,[],[f647,f250]) ).
fof(f647,plain,
( identity = sk_c9
| ~ spl13_4
| ~ spl13_9 ),
inference(forward_demodulation,[],[f645,f2]) ).
fof(f645,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl13_4
| ~ spl13_9 ),
inference(superposition,[],[f334,f391]) ).
fof(f391,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl13_4
| ~ spl13_9 ),
inference(forward_demodulation,[],[f358,f214]) ).
fof(f214,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl13_9 ),
inference(backward_demodulation,[],[f48,f143]) ).
fof(f143,plain,
( sk_c8 = sF0
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl13_9
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f48,plain,
inverse(sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f358,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl13_4 ),
inference(superposition,[],[f334,f219]) ).
fof(f219,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f73,f119]) ).
fof(f119,plain,
( sk_c9 = sF11
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl13_4
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f73,plain,
multiply(sk_c5,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f617,plain,
( ~ spl13_35
| ~ spl13_36
| ~ spl13_2
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f603,f194,f108,f614,f610]) ).
fof(f108,plain,
( spl13_2
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f194,plain,
( spl13_17
<=> ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f603,plain,
( sk_c9 != sk_c7
| sk_c9 != inverse(sk_c6)
| ~ spl13_2
| ~ spl13_17 ),
inference(superposition,[],[f195,f215]) ).
fof(f215,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f52,f110]) ).
fof(f110,plain,
( sk_c7 = sF3
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f52,plain,
multiply(sk_c6,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f195,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f608,plain,
( ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_17
| ~ spl13_32 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_17
| ~ spl13_32 ),
inference(subsumption_resolution,[],[f605,f307]) ).
fof(f307,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f306,plain,
( spl13_32
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f605,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_17 ),
inference(trivial_inequality_removal,[],[f604]) ).
fof(f604,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c2)
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11
| ~ spl13_17 ),
inference(superposition,[],[f195,f559]) ).
fof(f559,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| ~ spl13_5
| ~ spl13_8
| ~ spl13_11 ),
inference(forward_demodulation,[],[f558,f552]) ).
fof(f552,plain,
( sk_c2 = sk_c3
| ~ spl13_8
| ~ spl13_11 ),
inference(backward_demodulation,[],[f549,f551]) ).
fof(f551,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl13_11 ),
inference(backward_demodulation,[],[f365,f153]) ).
fof(f365,plain,
sk_c2 = multiply(inverse(sF2),identity),
inference(superposition,[],[f334,f224]) ).
fof(f224,plain,
identity = multiply(sF2,sk_c2),
inference(superposition,[],[f2,f51]) ).
fof(f549,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl13_8 ),
inference(backward_demodulation,[],[f366,f139]) ).
fof(f139,plain,
( sk_c9 = sF5
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl13_8
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f366,plain,
sk_c3 = multiply(inverse(sF5),identity),
inference(superposition,[],[f334,f225]) ).
fof(f225,plain,
identity = multiply(sF5,sk_c3),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
inverse(sk_c3) = sF5,
introduced(function_definition,[]) ).
fof(f558,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f49,f124]) ).
fof(f124,plain,
( sk_c9 = sF1
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl13_5
<=> sk_c9 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f49,plain,
multiply(sk_c3,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f563,plain,
( ~ spl13_11
| spl13_32 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl13_11
| spl13_32 ),
inference(subsumption_resolution,[],[f561,f308]) ).
fof(f308,plain,
( sk_c9 != inverse(sk_c2)
| spl13_32 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f561,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_11 ),
inference(forward_demodulation,[],[f51,f153]) ).
fof(f537,plain,
( spl13_19
| ~ spl13_1 ),
inference(avatar_split_clause,[],[f536,f104,f232]) ).
fof(f232,plain,
( spl13_19
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f536,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f64,f106]) ).
fof(f527,plain,
( ~ spl13_8
| ~ spl13_22
| spl13_30 ),
inference(avatar_contradiction_clause,[],[f526]) ).
fof(f526,plain,
( $false
| ~ spl13_8
| ~ spl13_22
| spl13_30 ),
inference(subsumption_resolution,[],[f525,f418]) ).
fof(f418,plain,
( identity != inverse(identity)
| ~ spl13_22
| spl13_30 ),
inference(backward_demodulation,[],[f299,f249]) ).
fof(f299,plain,
( sk_c9 != inverse(identity)
| spl13_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f525,plain,
( identity = inverse(identity)
| ~ spl13_8
| ~ spl13_22 ),
inference(forward_demodulation,[],[f516,f519]) ).
fof(f519,plain,
( identity = sk_c3
| ~ spl13_8
| ~ spl13_22 ),
inference(forward_demodulation,[],[f513,f2]) ).
fof(f513,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl13_8
| ~ spl13_22 ),
inference(backward_demodulation,[],[f366,f511]) ).
fof(f511,plain,
( identity = sF5
| ~ spl13_8
| ~ spl13_22 ),
inference(forward_demodulation,[],[f139,f249]) ).
fof(f516,plain,
( identity = inverse(sk_c3)
| ~ spl13_8
| ~ spl13_22 ),
inference(backward_demodulation,[],[f56,f511]) ).
fof(f518,plain,
( spl13_34
| ~ spl13_5
| ~ spl13_8
| ~ spl13_22 ),
inference(avatar_split_clause,[],[f517,f248,f137,f122,f315]) ).
fof(f517,plain,
( identity = sk_c8
| ~ spl13_5
| ~ spl13_8
| ~ spl13_22 ),
inference(forward_demodulation,[],[f512,f1]) ).
fof(f512,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl13_5
| ~ spl13_8
| ~ spl13_22 ),
inference(backward_demodulation,[],[f504,f511]) ).
fof(f504,plain,
( sk_c8 = multiply(sF5,identity)
| ~ spl13_5
| ~ spl13_22 ),
inference(forward_demodulation,[],[f370,f497]) ).
fof(f497,plain,
( identity = sF1
| ~ spl13_5
| ~ spl13_22 ),
inference(forward_demodulation,[],[f124,f249]) ).
fof(f370,plain,
sk_c8 = multiply(sF5,sF1),
inference(forward_demodulation,[],[f364,f56]) ).
fof(f364,plain,
sk_c8 = multiply(inverse(sk_c3),sF1),
inference(superposition,[],[f334,f49]) ).
fof(f468,plain,
( ~ spl13_34
| ~ spl13_22
| spl13_31 ),
inference(avatar_split_clause,[],[f467,f301,f248,f315]) ).
fof(f301,plain,
( spl13_31
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f467,plain,
( identity != sk_c8
| ~ spl13_22
| spl13_31 ),
inference(forward_demodulation,[],[f303,f249]) ).
fof(f303,plain,
( sk_c9 != sk_c8
| spl13_31 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f457,plain,
( ~ spl13_9
| ~ spl13_22
| spl13_30
| ~ spl13_31 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| ~ spl13_9
| ~ spl13_22
| spl13_30
| ~ spl13_31 ),
inference(subsumption_resolution,[],[f455,f418]) ).
fof(f455,plain,
( identity = inverse(identity)
| ~ spl13_9
| ~ spl13_22
| ~ spl13_31 ),
inference(forward_demodulation,[],[f431,f443]) ).
fof(f443,plain,
( identity = sk_c5
| ~ spl13_9
| ~ spl13_22
| ~ spl13_31 ),
inference(forward_demodulation,[],[f438,f2]) ).
fof(f438,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl13_9
| ~ spl13_22
| ~ spl13_31 ),
inference(backward_demodulation,[],[f406,f249]) ).
fof(f406,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl13_9
| ~ spl13_31 ),
inference(backward_demodulation,[],[f360,f302]) ).
fof(f302,plain,
( sk_c9 = sk_c8
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f360,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl13_9 ),
inference(superposition,[],[f334,f222]) ).
fof(f222,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl13_9 ),
inference(superposition,[],[f2,f214]) ).
fof(f431,plain,
( identity = inverse(sk_c5)
| ~ spl13_9
| ~ spl13_22
| ~ spl13_31 ),
inference(backward_demodulation,[],[f399,f249]) ).
fof(f399,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_9
| ~ spl13_31 ),
inference(backward_demodulation,[],[f214,f302]) ).
fof(f453,plain,
( ~ spl13_22
| ~ spl13_31
| spl13_34 ),
inference(avatar_contradiction_clause,[],[f452]) ).
fof(f452,plain,
( $false
| ~ spl13_22
| ~ spl13_31
| spl13_34 ),
inference(subsumption_resolution,[],[f419,f317]) ).
fof(f317,plain,
( identity != sk_c8
| spl13_34 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f419,plain,
( identity = sk_c8
| ~ spl13_22
| ~ spl13_31 ),
inference(backward_demodulation,[],[f302,f249]) ).
fof(f393,plain,
( spl13_31
| ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f392,f168,f159,f141,f117,f108,f301]) ).
fof(f392,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_13 ),
inference(forward_demodulation,[],[f391,f380]) ).
fof(f380,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_12
| ~ spl13_13 ),
inference(backward_demodulation,[],[f217,f379]) ).
fof(f379,plain,
( sk_c9 = sk_c7
| ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_13 ),
inference(forward_demodulation,[],[f376,f219]) ).
fof(f376,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| ~ spl13_2
| ~ spl13_9
| ~ spl13_13 ),
inference(backward_demodulation,[],[f215,f371]) ).
fof(f371,plain,
( sk_c5 = sk_c6
| ~ spl13_9
| ~ spl13_13 ),
inference(forward_demodulation,[],[f361,f360]) ).
fof(f361,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl13_13 ),
inference(superposition,[],[f334,f223]) ).
fof(f223,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl13_13 ),
inference(superposition,[],[f2,f218]) ).
fof(f218,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl13_13 ),
inference(backward_demodulation,[],[f59,f170]) ).
fof(f304,plain,
( ~ spl13_30
| ~ spl13_31
| ~ spl13_16 ),
inference(avatar_split_clause,[],[f293,f191,f301,f297]) ).
fof(f191,plain,
( spl13_16
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f293,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl13_16 ),
inference(superposition,[],[f192,f1]) ).
fof(f192,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl13_16 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f246,plain,
( ~ spl13_6
| ~ spl13_10
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl13_6
| ~ spl13_10
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f230,f216]) ).
fof(f216,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl13_10 ),
inference(backward_demodulation,[],[f65,f149]) ).
fof(f149,plain,
( sk_c10 = sF9
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl13_10
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f65,plain,
inverse(sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f230,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl13_6
| ~ spl13_14 ),
inference(trivial_inequality_removal,[],[f229]) ).
fof(f229,plain,
( sk_c10 != inverse(sk_c4)
| sk_c9 != sk_c9
| ~ spl13_6
| ~ spl13_14 ),
inference(superposition,[],[f186,f213]) ).
fof(f213,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl13_6 ),
inference(backward_demodulation,[],[f78,f129]) ).
fof(f129,plain,
( sk_c9 = sF12
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl13_6
<=> sk_c9 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f78,plain,
multiply(sk_c4,sk_c10) = sF12,
introduced(function_definition,[]) ).
fof(f186,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl13_14
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f235,plain,
( ~ spl13_19
| ~ spl13_7
| ~ spl13_14 ),
inference(avatar_split_clause,[],[f228,f185,f132,f232]) ).
fof(f228,plain,
( sk_c9 != sF10
| sk_c10 != inverse(sk_c1)
| ~ spl13_14 ),
inference(superposition,[],[f186,f69]) ).
fof(f212,plain,
( spl13_4
| spl13_1 ),
inference(avatar_split_clause,[],[f74,f104,f117]) ).
fof(f74,plain,
( sk_c10 = sF8
| sk_c9 = sF11 ),
inference(definition_folding,[],[f13,f73,f64]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f211,plain,
( spl13_11
| spl13_12 ),
inference(avatar_split_clause,[],[f55,f159,f151]) ).
fof(f55,plain,
( sk_c9 = sF4
| sk_c9 = sF2 ),
inference(definition_folding,[],[f29,f51,f54]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f209,plain,
( spl13_9
| spl13_1 ),
inference(avatar_split_clause,[],[f71,f104,f141]) ).
fof(f71,plain,
( sk_c10 = sF8
| sk_c8 = sF0 ),
inference(definition_folding,[],[f14,f64,f48]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f207,plain,
( spl13_6
| spl13_7 ),
inference(avatar_split_clause,[],[f96,f132,f127]) ).
fof(f96,plain,
( sk_c9 = sF10
| sk_c9 = sF12 ),
inference(definition_folding,[],[f4,f78,f69]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f206,plain,
( spl13_8
| spl13_12 ),
inference(avatar_split_clause,[],[f57,f159,f137]) ).
fof(f57,plain,
( sk_c9 = sF4
| sk_c9 = sF5 ),
inference(definition_folding,[],[f36,f54,f56]) ).
fof(f36,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f205,plain,
( spl13_5
| spl13_2 ),
inference(avatar_split_clause,[],[f101,f108,f122]) ).
fof(f101,plain,
( sk_c7 = sF3
| sk_c9 = sF1 ),
inference(definition_folding,[],[f44,f49,f52]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f203,plain,
( spl13_13
| spl13_8 ),
inference(avatar_split_clause,[],[f75,f137,f168]) ).
fof(f75,plain,
( sk_c9 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f38,f59,f56]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f202,plain,
( spl13_5
| spl13_12 ),
inference(avatar_split_clause,[],[f58,f159,f122]) ).
fof(f58,plain,
( sk_c9 = sF4
| sk_c9 = sF1 ),
inference(definition_folding,[],[f43,f49,f54]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f201,plain,
( spl13_12
| spl13_3 ),
inference(avatar_split_clause,[],[f62,f113,f159]) ).
fof(f62,plain,
( sk_c8 = sF7
| sk_c9 = sF4 ),
inference(definition_folding,[],[f22,f54,f61]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f199,plain,
( spl13_14
| spl13_14
| spl13_15
| spl13_16
| spl13_17
| spl13_18 ),
inference(avatar_split_clause,[],[f47,f197,f194,f191,f188,f185,f185]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X5,sk_c8)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X6) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X3)
| sk_c9 != inverse(X5)
| sk_c9 != multiply(sk_c8,X8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X5,sk_c8)
| sk_c8 != inverse(X7)
| multiply(X9,sk_c8) != X8
| sk_c9 != inverse(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f183,plain,
( spl13_4
| spl13_11 ),
inference(avatar_split_clause,[],[f98,f151,f117]) ).
fof(f98,plain,
( sk_c9 = sF2
| sk_c9 = sF11 ),
inference(definition_folding,[],[f27,f73,f51]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f182,plain,
( spl13_3
| spl13_9 ),
inference(avatar_split_clause,[],[f95,f141,f113]) ).
fof(f95,plain,
( sk_c8 = sF0
| sk_c8 = sF7 ),
inference(definition_folding,[],[f21,f61,f48]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f181,plain,
( spl13_7
| spl13_9 ),
inference(avatar_split_clause,[],[f70,f141,f132]) ).
fof(f70,plain,
( sk_c8 = sF0
| sk_c9 = sF10 ),
inference(definition_folding,[],[f7,f69,f48]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f180,plain,
( spl13_3
| spl13_2 ),
inference(avatar_split_clause,[],[f89,f108,f113]) ).
fof(f89,plain,
( sk_c7 = sF3
| sk_c8 = sF7 ),
inference(definition_folding,[],[f23,f61,f52]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f178,plain,
( spl13_5
| spl13_13 ),
inference(avatar_split_clause,[],[f60,f168,f122]) ).
fof(f60,plain,
( sk_c8 = sF6
| sk_c9 = sF1 ),
inference(definition_folding,[],[f45,f49,f59]) ).
fof(f45,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f177,plain,
( spl13_13
| spl13_3 ),
inference(avatar_split_clause,[],[f63,f113,f168]) ).
fof(f63,plain,
( sk_c8 = sF7
| sk_c8 = sF6 ),
inference(definition_folding,[],[f24,f59,f61]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f176,plain,
( spl13_2
| spl13_11 ),
inference(avatar_split_clause,[],[f53,f151,f108]) ).
fof(f53,plain,
( sk_c9 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f30,f52,f51]) ).
fof(f30,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f174,plain,
( spl13_13
| spl13_11 ),
inference(avatar_split_clause,[],[f91,f151,f168]) ).
fof(f91,plain,
( sk_c9 = sF2
| sk_c8 = sF6 ),
inference(definition_folding,[],[f31,f59,f51]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f165,plain,
( spl13_6
| spl13_1 ),
inference(avatar_split_clause,[],[f82,f104,f127]) ).
fof(f82,plain,
( sk_c10 = sF8
| sk_c9 = sF12 ),
inference(definition_folding,[],[f11,f78,f64]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f164,plain,
( spl13_4
| spl13_8 ),
inference(avatar_split_clause,[],[f81,f137,f117]) ).
fof(f81,plain,
( sk_c9 = sF5
| sk_c9 = sF11 ),
inference(definition_folding,[],[f34,f56,f73]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f157,plain,
( spl13_7
| spl13_10 ),
inference(avatar_split_clause,[],[f83,f147,f132]) ).
fof(f83,plain,
( sk_c10 = sF9
| sk_c9 = sF10 ),
inference(definition_folding,[],[f5,f65,f69]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f156,plain,
( spl13_1
| spl13_10 ),
inference(avatar_split_clause,[],[f66,f147,f104]) ).
fof(f66,plain,
( sk_c10 = sF9
| sk_c10 = sF8 ),
inference(definition_folding,[],[f12,f65,f64]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f155,plain,
( spl13_11
| spl13_9 ),
inference(avatar_split_clause,[],[f68,f141,f151]) ).
fof(f68,plain,
( sk_c8 = sF0
| sk_c9 = sF2 ),
inference(definition_folding,[],[f28,f48,f51]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f145,plain,
( spl13_2
| spl13_8 ),
inference(avatar_split_clause,[],[f86,f137,f108]) ).
fof(f86,plain,
( sk_c9 = sF5
| sk_c7 = sF3 ),
inference(definition_folding,[],[f37,f56,f52]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f144,plain,
( spl13_8
| spl13_9 ),
inference(avatar_split_clause,[],[f87,f141,f137]) ).
fof(f87,plain,
( sk_c8 = sF0
| sk_c9 = sF5 ),
inference(definition_folding,[],[f35,f48,f56]) ).
fof(f35,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f135,plain,
( spl13_4
| spl13_7 ),
inference(avatar_split_clause,[],[f76,f132,f117]) ).
fof(f76,plain,
( sk_c9 = sF10
| sk_c9 = sF11 ),
inference(definition_folding,[],[f6,f69,f73]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f125,plain,
( spl13_5
| spl13_4 ),
inference(avatar_split_clause,[],[f93,f117,f122]) ).
fof(f93,plain,
( sk_c9 = sF11
| sk_c9 = sF1 ),
inference(definition_folding,[],[f41,f73,f49]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c3,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP252-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:19:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (27144)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.47 % (27136)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (27144)First to succeed.
% 0.18/0.49 % (27125)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)
% 0.18/0.50 % (27127)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (27131)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)
% 0.18/0.50 % (27136)Also succeeded, but the first one will report.
% 0.18/0.50 % (27144)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (27144)------------------------------
% 0.18/0.50 % (27144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (27144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (27144)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (27144)Memory used [KB]: 5884
% 0.18/0.50 % (27144)Time elapsed: 0.088 s
% 0.18/0.50 % (27144)Instructions burned: 28 (million)
% 0.18/0.50 % (27144)------------------------------
% 0.18/0.50 % (27144)------------------------------
% 0.18/0.50 % (27119)Success in time 0.164 s
%------------------------------------------------------------------------------