TSTP Solution File: GRP390-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP390-1 : 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 : n007.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 16:15:39 EDT 2022
% Result : Unsatisfiable 1.81s 0.60s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 59
% Syntax : Number of formulae : 268 ( 31 unt; 0 def)
% Number of atoms : 726 ( 305 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 862 ( 404 ~; 435 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1140,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f113,f119,f125,f135,f136,f142,f147,f149,f156,f158,f162,f163,f164,f177,f179,f181,f182,f185,f186,f187,f235,f240,f265,f283,f369,f371,f420,f485,f501,f582,f613,f660,f669,f679,f715,f782,f792,f916,f952,f975,f1138]) ).
fof(f1138,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_16
| ~ spl12_26 ),
inference(avatar_contradiction_clause,[],[f1137]) ).
fof(f1137,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| ~ spl12_16
| ~ spl12_26 ),
inference(subsumption_resolution,[],[f1136,f992]) ).
fof(f992,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f60,f98]) ).
fof(f98,plain,
( sk_c9 = sF11
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl12_2
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f60,plain,
inverse(sk_c1) = sF11,
introduced(function_definition,[]) ).
fof(f1136,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_16
| ~ spl12_26 ),
inference(subsumption_resolution,[],[f1134,f1002]) ).
fof(f1002,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_26 ),
inference(backward_demodulation,[],[f989,f118]) ).
fof(f118,plain,
( sk_c9 = sF6
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl12_6
<=> sk_c9 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f989,plain,
( identity = multiply(sk_c9,sF6)
| ~ spl12_2
| ~ spl12_26 ),
inference(backward_demodulation,[],[f934,f98]) ).
fof(f934,plain,
( identity = multiply(sF11,sF6)
| ~ spl12_26 ),
inference(forward_demodulation,[],[f931,f60]) ).
fof(f931,plain,
( identity = multiply(inverse(sk_c1),sF6)
| ~ spl12_26 ),
inference(superposition,[],[f252,f910]) ).
fof(f910,plain,
( multiply(sk_c1,identity) = sF6
| ~ spl12_26 ),
inference(forward_demodulation,[],[f51,f277]) ).
fof(f277,plain,
( identity = sk_c8
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl12_26
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_26])]) ).
fof(f51,plain,
multiply(sk_c1,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f252,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f243,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f243,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1134,plain,
( identity != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(sk_c1)
| ~ spl12_6
| ~ spl12_16
| ~ spl12_26 ),
inference(superposition,[],[f977,f1003]) ).
fof(f1003,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,X0)
| ~ spl12_6
| ~ spl12_26 ),
inference(backward_demodulation,[],[f933,f118]) ).
fof(f933,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sF6,X0)
| ~ spl12_26 ),
inference(forward_demodulation,[],[f932,f1]) ).
fof(f932,plain,
( ! [X0] : multiply(sk_c1,multiply(identity,X0)) = multiply(sF6,X0)
| ~ spl12_26 ),
inference(superposition,[],[f3,f910]) ).
fof(f977,plain,
( ! [X6] :
( identity != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl12_16
| ~ spl12_26 ),
inference(forward_demodulation,[],[f176,f277]) ).
fof(f176,plain,
( ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl12_16
<=> ! [X6] :
( sk_c9 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f975,plain,
( ~ spl12_9
| ~ spl12_26
| spl12_27
| ~ spl12_40 ),
inference(avatar_contradiction_clause,[],[f974]) ).
fof(f974,plain,
( $false
| ~ spl12_9
| ~ spl12_26
| spl12_27
| ~ spl12_40 ),
inference(subsumption_resolution,[],[f973,f277]) ).
fof(f973,plain,
( identity != sk_c8
| ~ spl12_9
| ~ spl12_26
| spl12_27
| ~ spl12_40 ),
inference(forward_demodulation,[],[f972,f1]) ).
fof(f972,plain,
( sk_c8 != multiply(identity,identity)
| ~ spl12_9
| ~ spl12_26
| spl12_27
| ~ spl12_40 ),
inference(forward_demodulation,[],[f971,f841]) ).
fof(f841,plain,
( identity = inverse(identity)
| ~ spl12_9
| ~ spl12_26
| ~ spl12_40 ),
inference(backward_demodulation,[],[f784,f277]) ).
fof(f784,plain,
( identity = inverse(sk_c8)
| ~ spl12_9
| ~ spl12_40 ),
inference(backward_demodulation,[],[f57,f783]) ).
fof(f783,plain,
( identity = sF10
| ~ spl12_9
| ~ spl12_40 ),
inference(forward_demodulation,[],[f134,f349]) ).
fof(f349,plain,
( identity = sk_c7
| ~ spl12_40 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f348,plain,
( spl12_40
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_40])]) ).
fof(f134,plain,
( sk_c7 = sF10
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl12_9
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f57,plain,
inverse(sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f971,plain,
( sk_c8 != multiply(identity,inverse(identity))
| spl12_27
| ~ spl12_40 ),
inference(forward_demodulation,[],[f282,f349]) ).
fof(f282,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| spl12_27 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f280,plain,
( spl12_27
<=> sk_c8 = multiply(sk_c7,inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_27])]) ).
fof(f952,plain,
( ~ spl12_1
| ~ spl12_12
| ~ spl12_16
| ~ spl12_26 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f951,plain,
( $false
| ~ spl12_1
| ~ spl12_12
| ~ spl12_16
| ~ spl12_26 ),
inference(subsumption_resolution,[],[f950,f554]) ).
fof(f554,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f45,f153]) ).
fof(f153,plain,
( sk_c9 = sF2
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl12_12
<=> sk_c9 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f45,plain,
inverse(sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f950,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl12_1
| ~ spl12_16
| ~ spl12_26 ),
inference(trivial_inequality_removal,[],[f948]) ).
fof(f948,plain,
( sk_c9 != inverse(sk_c4)
| identity != identity
| ~ spl12_1
| ~ spl12_16
| ~ spl12_26 ),
inference(superposition,[],[f913,f839]) ).
fof(f839,plain,
( identity = multiply(sk_c4,sk_c9)
| ~ spl12_1
| ~ spl12_26 ),
inference(backward_demodulation,[],[f663,f277]) ).
fof(f663,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl12_1 ),
inference(forward_demodulation,[],[f42,f94]) ).
fof(f94,plain,
( sk_c8 = sF0
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl12_1
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f42,plain,
multiply(sk_c4,sk_c9) = sF0,
introduced(function_definition,[]) ).
fof(f913,plain,
( ! [X6] :
( identity != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl12_16
| ~ spl12_26 ),
inference(forward_demodulation,[],[f176,f277]) ).
fof(f916,plain,
( spl12_6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f915,f276,f151,f110,f105,f96,f116]) ).
fof(f105,plain,
( spl12_4
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f110,plain,
( spl12_5
<=> sk_c9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f915,plain,
( sk_c9 = sF6
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12
| ~ spl12_26 ),
inference(backward_demodulation,[],[f911,f914]) ).
fof(f914,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12
| ~ spl12_26 ),
inference(forward_demodulation,[],[f685,f277]) ).
fof(f685,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f651,f681]) ).
fof(f681,plain,
( sk_c4 = sk_c6
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f680,f550]) ).
fof(f550,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f406,f153]) ).
fof(f406,plain,
sk_c4 = multiply(inverse(sF2),identity),
inference(superposition,[],[f252,f195]) ).
fof(f195,plain,
identity = multiply(sF2,sk_c4),
inference(superposition,[],[f2,f45]) ).
fof(f680,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f407,f112]) ).
fof(f112,plain,
( sk_c9 = sF7
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f407,plain,
sk_c6 = multiply(inverse(sF7),identity),
inference(superposition,[],[f252,f197]) ).
fof(f197,plain,
identity = multiply(sF7,sk_c6),
inference(superposition,[],[f2,f53]) ).
fof(f53,plain,
inverse(sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f651,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl12_4 ),
inference(backward_demodulation,[],[f50,f107]) ).
fof(f107,plain,
( sk_c9 = sF5
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f50,plain,
multiply(sk_c6,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f911,plain,
( multiply(sk_c4,identity) = sF6
| ~ spl12_2
| ~ spl12_12
| ~ spl12_26 ),
inference(forward_demodulation,[],[f910,f654]) ).
fof(f654,plain,
( sk_c4 = sk_c1
| ~ spl12_2
| ~ spl12_12 ),
inference(forward_demodulation,[],[f397,f550]) ).
fof(f397,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl12_2 ),
inference(superposition,[],[f252,f198]) ).
fof(f198,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl12_2 ),
inference(superposition,[],[f2,f193]) ).
fof(f193,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f60,f98]) ).
fof(f792,plain,
( spl12_26
| ~ spl12_9
| ~ spl12_40 ),
inference(avatar_split_clause,[],[f791,f348,f132,f276]) ).
fof(f791,plain,
( identity = sk_c8
| ~ spl12_9
| ~ spl12_40 ),
inference(forward_demodulation,[],[f788,f2]) ).
fof(f788,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl12_9
| ~ spl12_40 ),
inference(backward_demodulation,[],[f751,f783]) ).
fof(f751,plain,
sk_c8 = multiply(inverse(sF10),identity),
inference(superposition,[],[f252,f693]) ).
fof(f693,plain,
identity = multiply(sF10,sk_c8),
inference(superposition,[],[f2,f57]) ).
fof(f782,plain,
( ~ spl12_1
| ~ spl12_12
| spl12_26 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f781,plain,
( $false
| ~ spl12_1
| ~ spl12_12
| spl12_26 ),
inference(subsumption_resolution,[],[f780,f278]) ).
fof(f278,plain,
( identity != sk_c8
| spl12_26 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f780,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_12 ),
inference(forward_demodulation,[],[f778,f2]) ).
fof(f778,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_1
| ~ spl12_12 ),
inference(superposition,[],[f252,f674]) ).
fof(f674,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl12_1
| ~ spl12_12 ),
inference(forward_demodulation,[],[f551,f94]) ).
fof(f551,plain,
( sk_c9 = multiply(sk_c9,sF0)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f414,f153]) ).
fof(f414,plain,
sk_c9 = multiply(sF2,sF0),
inference(forward_demodulation,[],[f396,f45]) ).
fof(f396,plain,
sk_c9 = multiply(inverse(sk_c4),sF0),
inference(superposition,[],[f252,f42]) ).
fof(f715,plain,
( spl12_40
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f712,f289,f348]) ).
fof(f289,plain,
( spl12_29
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f712,plain,
( identity = sk_c7
| ~ spl12_29 ),
inference(forward_demodulation,[],[f710,f2]) ).
fof(f710,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_29 ),
inference(superposition,[],[f252,f290]) ).
fof(f290,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f679,plain,
( spl12_23
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f676,f110,f237]) ).
fof(f237,plain,
( spl12_23
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f676,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f53,f112]) ).
fof(f669,plain,
( spl12_29
| ~ spl12_8
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f668,f139,f127,f289]) ).
fof(f127,plain,
( spl12_8
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f139,plain,
( spl12_10
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f668,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_8
| ~ spl12_10 ),
inference(forward_demodulation,[],[f667,f141]) ).
fof(f141,plain,
( sk_c8 = sF9
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f667,plain,
( sk_c8 = multiply(sF9,sk_c7)
| ~ spl12_8 ),
inference(forward_demodulation,[],[f415,f129]) ).
fof(f129,plain,
( sk_c7 = sF4
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f415,plain,
sk_c8 = multiply(sF9,sF4),
inference(forward_demodulation,[],[f400,f56]) ).
fof(f56,plain,
inverse(sk_c5) = sF9,
introduced(function_definition,[]) ).
fof(f400,plain,
sk_c8 = multiply(inverse(sk_c5),sF4),
inference(superposition,[],[f252,f48]) ).
fof(f48,plain,
multiply(sk_c5,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f660,plain,
( spl12_44
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f659,f139,f366]) ).
fof(f366,plain,
( spl12_44
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_44])]) ).
fof(f659,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl12_10 ),
inference(forward_demodulation,[],[f56,f141]) ).
fof(f613,plain,
( spl12_9
| ~ spl12_10
| ~ spl12_26
| ~ spl12_40 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| spl12_9
| ~ spl12_10
| ~ spl12_26
| ~ spl12_40 ),
inference(subsumption_resolution,[],[f611,f349]) ).
fof(f611,plain,
( identity != sk_c7
| spl12_9
| ~ spl12_10
| ~ spl12_26 ),
inference(forward_demodulation,[],[f133,f604]) ).
fof(f604,plain,
( identity = sF10
| ~ spl12_10
| ~ spl12_26 ),
inference(forward_demodulation,[],[f603,f540]) ).
fof(f540,plain,
( identity = inverse(identity)
| ~ spl12_10
| ~ spl12_26 ),
inference(backward_demodulation,[],[f538,f539]) ).
fof(f539,plain,
( identity = sk_c5
| ~ spl12_10
| ~ spl12_26 ),
inference(forward_demodulation,[],[f536,f2]) ).
fof(f536,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_10
| ~ spl12_26 ),
inference(backward_demodulation,[],[f408,f533]) ).
fof(f533,plain,
( identity = sF9
| ~ spl12_10
| ~ spl12_26 ),
inference(forward_demodulation,[],[f141,f277]) ).
fof(f408,plain,
sk_c5 = multiply(inverse(sF9),identity),
inference(superposition,[],[f252,f196]) ).
fof(f196,plain,
identity = multiply(sF9,sk_c5),
inference(superposition,[],[f2,f56]) ).
fof(f538,plain,
( identity = inverse(sk_c5)
| ~ spl12_10
| ~ spl12_26 ),
inference(backward_demodulation,[],[f56,f533]) ).
fof(f603,plain,
( sF10 = inverse(identity)
| ~ spl12_26 ),
inference(forward_demodulation,[],[f57,f277]) ).
fof(f133,plain,
( sk_c7 != sF10
| spl12_9 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f582,plain,
( ~ spl12_10
| ~ spl12_15
| ~ spl12_26
| ~ spl12_40 ),
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| ~ spl12_10
| ~ spl12_15
| ~ spl12_26
| ~ spl12_40 ),
inference(subsumption_resolution,[],[f580,f540]) ).
fof(f580,plain,
( identity != inverse(identity)
| ~ spl12_10
| ~ spl12_15
| ~ spl12_26
| ~ spl12_40 ),
inference(forward_demodulation,[],[f579,f540]) ).
fof(f579,plain,
( identity != inverse(inverse(identity))
| ~ spl12_15
| ~ spl12_26
| ~ spl12_40 ),
inference(forward_demodulation,[],[f578,f277]) ).
fof(f578,plain,
( sk_c8 != inverse(inverse(sk_c8))
| ~ spl12_15
| ~ spl12_40 ),
inference(subsumption_resolution,[],[f324,f349]) ).
fof(f324,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != sk_c7
| ~ spl12_15 ),
inference(superposition,[],[f173,f2]) ).
fof(f173,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl12_15
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f501,plain,
( ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26
| spl12_41 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26
| spl12_41 ),
inference(subsumption_resolution,[],[f499,f277]) ).
fof(f499,plain,
( identity != sk_c8
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26
| spl12_41 ),
inference(forward_demodulation,[],[f354,f481]) ).
fof(f481,plain,
( identity = inverse(sk_c7)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26 ),
inference(backward_demodulation,[],[f468,f476]) ).
fof(f476,plain,
( identity = sk_c3
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26 ),
inference(forward_demodulation,[],[f455,f469]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_26 ),
inference(forward_demodulation,[],[f466,f459]) ).
fof(f459,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl12_9
| ~ spl12_26 ),
inference(backward_demodulation,[],[f390,f437]) ).
fof(f437,plain,
( sk_c7 = inverse(identity)
| ~ spl12_9
| ~ spl12_26 ),
inference(backward_demodulation,[],[f190,f277]) ).
fof(f190,plain,
( inverse(sk_c8) = sk_c7
| ~ spl12_9 ),
inference(backward_demodulation,[],[f57,f134]) ).
fof(f390,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f252,f1]) ).
fof(f466,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl12_3
| ~ spl12_7
| ~ spl12_26 ),
inference(backward_demodulation,[],[f321,f463]) ).
fof(f463,plain,
( sk_c7 = sk_c2
| ~ spl12_3
| ~ spl12_7
| ~ spl12_26 ),
inference(backward_demodulation,[],[f405,f453]) ).
fof(f453,plain,
( sk_c7 = multiply(inverse(sk_c3),identity)
| ~ spl12_7
| ~ spl12_26 ),
inference(backward_demodulation,[],[f404,f277]) ).
fof(f404,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl12_7 ),
inference(superposition,[],[f252,f192]) ).
fof(f192,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f54,f123]) ).
fof(f123,plain,
( sk_c8 = sF8
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl12_7
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f54,plain,
multiply(sk_c3,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f405,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl12_3 ),
inference(superposition,[],[f252,f199]) ).
fof(f199,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl12_3 ),
inference(superposition,[],[f2,f191]) ).
fof(f191,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f46,f103]) ).
fof(f103,plain,
( sk_c3 = sF3
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl12_3
<=> sk_c3 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f46,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
| ~ spl12_3 ),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f320,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
| ~ spl12_3 ),
inference(superposition,[],[f3,f199]) ).
fof(f455,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl12_3
| ~ spl12_11
| ~ spl12_26 ),
inference(backward_demodulation,[],[f412,f277]) ).
fof(f412,plain,
( sk_c3 = multiply(sk_c3,sk_c8)
| ~ spl12_3
| ~ spl12_11 ),
inference(forward_demodulation,[],[f403,f191]) ).
fof(f403,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c8)
| ~ spl12_11 ),
inference(superposition,[],[f252,f188]) ).
fof(f188,plain,
( sk_c8 = multiply(sk_c2,sk_c3)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f43,f146]) ).
fof(f146,plain,
( sk_c8 = sF1
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl12_11
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f43,plain,
multiply(sk_c2,sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f468,plain,
( sk_c3 = inverse(sk_c7)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_26 ),
inference(backward_demodulation,[],[f191,f463]) ).
fof(f354,plain,
( sk_c8 != inverse(sk_c7)
| spl12_41 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f352,plain,
( spl12_41
<=> sk_c8 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_41])]) ).
fof(f485,plain,
( ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26
| spl12_40 ),
inference(avatar_contradiction_clause,[],[f484]) ).
fof(f484,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26
| spl12_40 ),
inference(subsumption_resolution,[],[f483,f350]) ).
fof(f350,plain,
( identity != sk_c7
| spl12_40 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f483,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26 ),
inference(forward_demodulation,[],[f478,f2]) ).
fof(f478,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_9
| ~ spl12_11
| ~ spl12_26 ),
inference(backward_demodulation,[],[f453,f476]) ).
fof(f420,plain,
( spl12_26
| ~ spl12_3
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f419,f144,f101,f276]) ).
fof(f419,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_11 ),
inference(forward_demodulation,[],[f417,f2]) ).
fof(f417,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c3)
| ~ spl12_3
| ~ spl12_11 ),
inference(superposition,[],[f252,f412]) ).
fof(f371,plain,
( ~ spl12_41
| ~ spl12_40
| ~ spl12_9
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f370,f172,f132,f348,f352]) ).
fof(f370,plain,
( identity != sk_c7
| sk_c8 != inverse(sk_c7)
| ~ spl12_9
| ~ spl12_15 ),
inference(forward_demodulation,[],[f324,f190]) ).
fof(f369,plain,
( ~ spl12_8
| ~ spl12_44
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f326,f172,f366,f127]) ).
fof(f326,plain,
( sk_c8 != inverse(sk_c5)
| sk_c7 != sF4
| ~ spl12_15 ),
inference(superposition,[],[f173,f48]) ).
fof(f283,plain,
( ~ spl12_26
| ~ spl12_27
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f262,f169,f280,f276]) ).
fof(f169,plain,
( spl12_14
<=> ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f262,plain,
( sk_c8 != multiply(sk_c7,inverse(sk_c7))
| identity != sk_c8
| ~ spl12_14 ),
inference(superposition,[],[f170,f2]) ).
fof(f170,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f265,plain,
( ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl12_3
| ~ spl12_7
| ~ spl12_11
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f263,f188]) ).
fof(f263,plain,
( sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl12_3
| ~ spl12_7
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f261,f192]) ).
fof(f261,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| sk_c8 != multiply(sk_c2,sk_c3)
| ~ spl12_3
| ~ spl12_14 ),
inference(superposition,[],[f170,f191]) ).
fof(f240,plain,
( ~ spl12_23
| ~ spl12_4
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f203,f166,f105,f237]) ).
fof(f166,plain,
( spl12_13
<=> ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f203,plain,
( sk_c9 != sF5
| sk_c9 != inverse(sk_c6)
| ~ spl12_13 ),
inference(superposition,[],[f167,f50]) ).
fof(f167,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f235,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f234]) ).
fof(f234,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f205,f193]) ).
fof(f205,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl12_6
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f204]) ).
fof(f204,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| ~ spl12_6
| ~ spl12_13 ),
inference(superposition,[],[f167,f189]) ).
fof(f189,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f51,f118]) ).
fof(f187,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f68,f127,f121]) ).
fof(f68,plain,
( sk_c7 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f36,f48,f54]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f186,plain,
( spl12_8
| spl12_11 ),
inference(avatar_split_clause,[],[f62,f144,f127]) ).
fof(f62,plain,
( sk_c8 = sF1
| sk_c7 = sF4 ),
inference(definition_folding,[],[f24,f48,f43]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f185,plain,
( spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f82,f151,f116]) ).
fof(f82,plain,
( sk_c9 = sF2
| sk_c9 = sF6 ),
inference(definition_folding,[],[f17,f51,f45]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f182,plain,
( spl12_10
| spl12_6 ),
inference(avatar_split_clause,[],[f77,f116,f139]) ).
fof(f77,plain,
( sk_c9 = sF6
| sk_c8 = sF9 ),
inference(definition_folding,[],[f19,f56,f51]) ).
fof(f19,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f181,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f58,f139,f132]) ).
fof(f58,plain,
( sk_c8 = sF9
| sk_c7 = sF10 ),
inference(definition_folding,[],[f7,f57,f56]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f179,plain,
( spl12_12
| spl12_9 ),
inference(avatar_split_clause,[],[f59,f132,f151]) ).
fof(f59,plain,
( sk_c7 = sF10
| sk_c9 = sF2 ),
inference(definition_folding,[],[f5,f45,f57]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f177,plain,
( spl12_13
| spl12_14
| ~ spl12_9
| spl12_15
| spl12_13
| spl12_16 ),
inference(avatar_split_clause,[],[f84,f175,f166,f172,f132,f169,f166]) ).
fof(f84,plain,
! [X3,X8,X6,X7,X4] :
( sk_c9 != inverse(X6)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != sF10
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(X3,sk_c8) ),
inference(definition_folding,[],[f41,f57]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X4] :
( sk_c9 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X8,sk_c8)
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X4,inverse(X4))
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(inverse(X4),sk_c7) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X8,sk_c8)
| inverse(X4) != X5
| inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X4,X5)
| sk_c8 != multiply(X6,sk_c9)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f164,plain,
( spl12_4
| spl12_6 ),
inference(avatar_split_clause,[],[f52,f116,f105]) ).
fof(f52,plain,
( sk_c9 = sF6
| sk_c9 = sF5 ),
inference(definition_folding,[],[f21,f51,f50]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f163,plain,
( spl12_3
| spl12_8 ),
inference(avatar_split_clause,[],[f49,f127,f101]) ).
fof(f49,plain,
( sk_c7 = sF4
| sk_c3 = sF3 ),
inference(definition_folding,[],[f30,f48,f46]) ).
fof(f30,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f162,plain,
( spl12_12
| spl12_2 ),
inference(avatar_split_clause,[],[f88,f96,f151]) ).
fof(f88,plain,
( sk_c9 = sF11
| sk_c9 = sF2 ),
inference(definition_folding,[],[f11,f60,f45]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f158,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f74,f116,f110]) ).
fof(f74,plain,
( sk_c9 = sF6
| sk_c9 = sF7 ),
inference(definition_folding,[],[f20,f53,f51]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f156,plain,
( spl12_10
| spl12_2 ),
inference(avatar_split_clause,[],[f61,f96,f139]) ).
fof(f61,plain,
( sk_c9 = sF11
| sk_c8 = sF9 ),
inference(definition_folding,[],[f13,f56,f60]) ).
fof(f13,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f149,plain,
( spl12_7
| spl12_10 ),
inference(avatar_split_clause,[],[f90,f139,f121]) ).
fof(f90,plain,
( sk_c8 = sF9
| sk_c8 = sF8 ),
inference(definition_folding,[],[f37,f56,f54]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f147,plain,
( spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f64,f144,f139]) ).
fof(f64,plain,
( sk_c8 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f25,f56,f43]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f142,plain,
( spl12_10
| spl12_3 ),
inference(avatar_split_clause,[],[f71,f101,f139]) ).
fof(f71,plain,
( sk_c3 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f31,f46,f56]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f136,plain,
( spl12_9
| spl12_8 ),
inference(avatar_split_clause,[],[f72,f127,f132]) ).
fof(f72,plain,
( sk_c7 = sF4
| sk_c7 = sF10 ),
inference(definition_folding,[],[f6,f57,f48]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f135,plain,
( spl12_9
| spl12_1 ),
inference(avatar_split_clause,[],[f69,f92,f132]) ).
fof(f69,plain,
( sk_c8 = sF0
| sk_c7 = sF10 ),
inference(definition_folding,[],[f4,f57,f42]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f125,plain,
( spl12_2
| spl12_4 ),
inference(avatar_split_clause,[],[f66,f105,f96]) ).
fof(f66,plain,
( sk_c9 = sF5
| sk_c9 = sF11 ),
inference(definition_folding,[],[f15,f60,f50]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f119,plain,
( spl12_6
| spl12_1 ),
inference(avatar_split_clause,[],[f79,f92,f116]) ).
fof(f79,plain,
( sk_c8 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f16,f51,f42]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f113,plain,
( spl12_5
| spl12_2 ),
inference(avatar_split_clause,[],[f81,f96,f110]) ).
fof(f81,plain,
( sk_c9 = sF11
| sk_c9 = sF7 ),
inference(definition_folding,[],[f14,f53,f60]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f99,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f63,f96,f92]) ).
fof(f63,plain,
( sk_c9 = sF11
| sk_c8 = sF0 ),
inference(definition_folding,[],[f10,f60,f42]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP390-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:12:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.49 % (14263)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)
% 0.20/0.49 % (14255)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.49 % (14255)Instruction limit reached!
% 0.20/0.49 % (14255)------------------------------
% 0.20/0.49 % (14255)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (14255)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (14255)Termination reason: Unknown
% 0.20/0.49 % (14255)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (14255)Memory used [KB]: 6012
% 0.20/0.49 % (14255)Time elapsed: 0.078 s
% 0.20/0.49 % (14255)Instructions burned: 8 (million)
% 0.20/0.49 % (14255)------------------------------
% 0.20/0.49 % (14255)------------------------------
% 0.20/0.51 % (14238)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (14242)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)
% 0.20/0.52 % (14260)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)
% 0.20/0.52 % (14251)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)
% 0.20/0.52 % (14240)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)
% 0.20/0.53 % (14240)Instruction limit reached!
% 0.20/0.53 % (14240)------------------------------
% 0.20/0.53 % (14240)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14240)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14240)Termination reason: Unknown
% 0.20/0.53 % (14240)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (14240)Memory used [KB]: 5884
% 0.20/0.53 % (14240)Time elapsed: 0.003 s
% 0.20/0.53 % (14240)Instructions burned: 4 (million)
% 0.20/0.53 % (14240)------------------------------
% 0.20/0.53 % (14240)------------------------------
% 0.20/0.53 % (14267)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)
% 0.20/0.53 % (14239)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)
% 0.20/0.53 % (14261)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)
% 0.20/0.53 % (14265)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)
% 0.20/0.53 % (14241)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)
% 0.20/0.53 % (14247)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)
% 0.20/0.53 % (14241)Refutation not found, incomplete strategy% (14241)------------------------------
% 0.20/0.53 % (14241)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (14241)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (14241)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (14241)Memory used [KB]: 5884
% 0.20/0.53 % (14241)Time elapsed: 0.124 s
% 0.20/0.53 % (14241)Instructions burned: 4 (million)
% 0.20/0.53 % (14241)------------------------------
% 0.20/0.53 % (14241)------------------------------
% 0.20/0.53 % (14243)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (14252)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)
% 0.20/0.54 % (14264)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)
% 0.20/0.54 % (14257)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)
% 0.20/0.54 % (14259)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)
% 0.20/0.54 % (14258)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)
% 0.20/0.54 % (14253)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)
% 0.20/0.54 % (14259)Refutation not found, incomplete strategy% (14259)------------------------------
% 0.20/0.54 % (14259)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14259)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14259)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54
% 0.20/0.54 % (14259)Memory used [KB]: 5884
% 0.20/0.54 % (14259)Time elapsed: 0.142 s
% 0.20/0.54 % (14259)Instructions burned: 3 (million)
% 0.20/0.54 % (14259)------------------------------
% 0.20/0.54 % (14259)------------------------------
% 0.20/0.54 % (14251)Instruction limit reached!
% 0.20/0.54 % (14251)------------------------------
% 0.20/0.54 % (14251)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14251)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14253)Instruction limit reached!
% 0.20/0.54 % (14253)------------------------------
% 0.20/0.54 % (14253)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14251)Termination reason: Unknown
% 0.20/0.54 % (14251)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (14253)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14253)Termination reason: Unknown
% 0.20/0.54 % (14253)Termination phase: Finite model building preprocessing
% 0.20/0.54 % (14251)Memory used [KB]: 5884
% 0.20/0.54
% 0.20/0.54 % (14251)Time elapsed: 0.004 s
% 0.20/0.54 % (14251)Instructions burned: 4 (million)
% 0.20/0.54 % (14253)Memory used [KB]: 1407
% 0.20/0.54 % (14251)------------------------------
% 0.20/0.54 % (14251)------------------------------
% 0.20/0.54 % (14253)Time elapsed: 0.003 s
% 0.20/0.54 % (14253)Instructions burned: 6 (million)
% 0.20/0.54 % (14253)------------------------------
% 0.20/0.54 % (14253)------------------------------
% 0.20/0.54 % (14256)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)
% 0.20/0.54 % (14246)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)
% 0.20/0.54 % (14246)Instruction limit reached!
% 0.20/0.54 % (14246)------------------------------
% 0.20/0.54 % (14246)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (14246)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (14246)Termination reason: Unknown
% 0.20/0.54 % (14246)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (14246)Memory used [KB]: 5884
% 0.20/0.54 % (14246)Time elapsed: 0.003 s
% 0.20/0.54 % (14246)Instructions burned: 4 (million)
% 0.20/0.54 % (14246)------------------------------
% 0.20/0.54 % (14246)------------------------------
% 0.20/0.54 % (14249)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)
% 0.20/0.54 % (14244)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)
% 0.20/0.54 % (14262)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)
% 0.20/0.54 % (14266)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)
% 0.20/0.54 % (14245)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)
% 0.20/0.55 % (14266)Refutation not found, incomplete strategy% (14266)------------------------------
% 0.20/0.55 % (14266)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14266)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14266)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (14266)Memory used [KB]: 5884
% 0.20/0.55 % (14266)Time elapsed: 0.146 s
% 0.20/0.55 % (14266)Instructions burned: 4 (million)
% 0.20/0.55 % (14266)------------------------------
% 0.20/0.55 % (14266)------------------------------
% 0.20/0.55 % (14250)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)
% 0.20/0.55 % (14248)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)
% 0.20/0.55 % (14250)Instruction limit reached!
% 0.20/0.55 % (14250)------------------------------
% 0.20/0.55 % (14250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14250)Termination reason: Unknown
% 0.20/0.55 % (14250)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14250)Memory used [KB]: 6012
% 0.20/0.55 % (14250)Time elapsed: 0.149 s
% 0.20/0.55 % (14250)Instructions burned: 6 (million)
% 0.20/0.55 % (14250)------------------------------
% 0.20/0.55 % (14250)------------------------------
% 0.20/0.55 % (14248)Instruction limit reached!
% 0.20/0.55 % (14248)------------------------------
% 0.20/0.55 % (14248)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14248)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14248)Termination reason: Unknown
% 0.20/0.55 % (14248)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14248)Memory used [KB]: 6012
% 0.20/0.55 % (14248)Time elapsed: 0.150 s
% 0.20/0.55 % (14248)Instructions burned: 7 (million)
% 0.20/0.55 % (14248)------------------------------
% 0.20/0.55 % (14248)------------------------------
% 0.20/0.55 % (14254)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)
% 0.20/0.55 % (14254)Instruction limit reached!
% 0.20/0.55 % (14254)------------------------------
% 0.20/0.55 % (14254)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14254)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14254)Termination reason: Unknown
% 0.20/0.55 % (14254)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14254)Memory used [KB]: 1279
% 0.20/0.55 % (14254)Time elapsed: 0.002 s
% 0.20/0.55 % (14254)Instructions burned: 3 (million)
% 0.20/0.55 % (14254)------------------------------
% 0.20/0.55 % (14254)------------------------------
% 0.20/0.55 % (14242)Instruction limit reached!
% 0.20/0.55 % (14242)------------------------------
% 0.20/0.55 % (14242)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (14242)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (14242)Termination reason: Unknown
% 0.20/0.55 % (14242)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (14242)Memory used [KB]: 6652
% 0.20/0.55 % (14242)Time elapsed: 0.148 s
% 0.20/0.55 % (14242)Instructions burned: 34 (million)
% 0.20/0.55 % (14242)------------------------------
% 0.20/0.55 % (14242)------------------------------
% 0.20/0.56 % (14261)Refutation not found, incomplete strategy% (14261)------------------------------
% 0.20/0.56 % (14261)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14261)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14261)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (14261)Memory used [KB]: 5884
% 0.20/0.56 % (14261)Time elapsed: 0.127 s
% 0.20/0.56 % (14261)Instructions burned: 4 (million)
% 0.20/0.56 % (14261)------------------------------
% 0.20/0.56 % (14261)------------------------------
% 0.20/0.56 % (14258)Instruction limit reached!
% 0.20/0.56 % (14258)------------------------------
% 0.20/0.56 % (14258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14258)Termination reason: Unknown
% 0.20/0.56 % (14258)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14258)Memory used [KB]: 1407
% 0.20/0.56 % (14258)Time elapsed: 0.138 s
% 0.20/0.56 % (14258)Instructions burned: 6 (million)
% 0.20/0.56 % (14258)------------------------------
% 0.20/0.56 % (14258)------------------------------
% 0.20/0.56 % (14249)Instruction limit reached!
% 0.20/0.56 % (14249)------------------------------
% 0.20/0.56 % (14249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14249)Termination reason: Unknown
% 0.20/0.56 % (14249)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14249)Memory used [KB]: 6268
% 0.20/0.56 % (14249)Time elapsed: 0.148 s
% 0.20/0.56 % (14249)Instructions burned: 23 (million)
% 0.20/0.56 % (14249)------------------------------
% 0.20/0.56 % (14249)------------------------------
% 0.20/0.56 % (14257)Instruction limit reached!
% 0.20/0.56 % (14257)------------------------------
% 0.20/0.56 % (14257)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14257)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14257)Termination reason: Unknown
% 0.20/0.56 % (14257)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (14257)Memory used [KB]: 6012
% 0.20/0.56 % (14257)Time elapsed: 0.140 s
% 0.20/0.56 % (14257)Instructions burned: 8 (million)
% 0.20/0.56 % (14257)------------------------------
% 0.20/0.56 % (14257)------------------------------
% 0.20/0.56 % (14260)Refutation not found, incomplete strategy% (14260)------------------------------
% 0.20/0.56 % (14260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (14260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (14260)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.56
% 0.20/0.56 % (14260)Memory used [KB]: 6268
% 0.20/0.56 % (14260)Time elapsed: 0.133 s
% 0.20/0.56 % (14260)Instructions burned: 27 (million)
% 0.20/0.56 % (14260)------------------------------
% 0.20/0.56 % (14260)------------------------------
% 0.20/0.57 % (14243)Instruction limit reached!
% 0.20/0.57 % (14243)------------------------------
% 0.20/0.57 % (14243)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (14243)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (14243)Termination reason: Unknown
% 0.20/0.57 % (14243)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (14243)Memory used [KB]: 6268
% 0.20/0.57 % (14243)Time elapsed: 0.168 s
% 0.20/0.57 % (14243)Instructions burned: 26 (million)
% 0.20/0.57 % (14243)------------------------------
% 0.20/0.57 % (14243)------------------------------
% 0.20/0.59 % (14238)First to succeed.
% 0.20/0.59 % (14252)Instruction limit reached!
% 0.20/0.59 % (14252)------------------------------
% 0.20/0.59 % (14252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (14252)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (14252)Termination reason: Unknown
% 0.20/0.59 % (14252)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (14252)Memory used [KB]: 1663
% 0.20/0.59 % (14252)Time elapsed: 0.143 s
% 0.20/0.59 % (14252)Instructions burned: 29 (million)
% 0.20/0.59 % (14252)------------------------------
% 0.20/0.59 % (14252)------------------------------
% 1.81/0.60 % (14238)Refutation found. Thanks to Tanya!
% 1.81/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.81/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.81/0.60 % (14238)------------------------------
% 1.81/0.60 % (14238)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (14238)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (14238)Termination reason: Refutation
% 1.81/0.60
% 1.81/0.60 % (14238)Memory used [KB]: 6396
% 1.81/0.60 % (14238)Time elapsed: 0.158 s
% 1.81/0.60 % (14238)Instructions burned: 33 (million)
% 1.81/0.60 % (14238)------------------------------
% 1.81/0.60 % (14238)------------------------------
% 1.81/0.60 % (14237)Success in time 0.239 s
%------------------------------------------------------------------------------