TSTP Solution File: GRP230-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP230-1 : 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 16:14:57 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 54
% Syntax : Number of formulae : 308 ( 27 unt; 0 def)
% Number of atoms : 1019 ( 343 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1385 ( 674 ~; 689 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f831,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f78,f87,f97,f102,f107,f112,f114,f117,f130,f132,f134,f135,f136,f137,f138,f139,f140,f141,f159,f164,f173,f182,f191,f244,f307,f310,f390,f451,f477,f492,f563,f572,f636,f653,f683,f706,f762,f776,f814,f829]) ).
fof(f829,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| spl10_16
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| spl10_16
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f827,f168]) ).
fof(f168,plain,
( identity != sk_c8
| spl10_16 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl10_16
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f827,plain,
( identity = sk_c8
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_8
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f821,f826]) ).
fof(f826,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| ~ spl10_18 ),
inference(forward_demodulation,[],[f796,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f796,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| ~ spl10_18 ),
inference(backward_demodulation,[],[f770,f786]) ).
fof(f786,plain,
( sk_c8 = sk_c7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_18 ),
inference(forward_demodulation,[],[f785,f773]) ).
fof(f773,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl10_1
| ~ spl10_3 ),
inference(backward_demodulation,[],[f767,f68]) ).
fof(f68,plain,
( sk_c6 = sF2
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl10_1
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f767,plain,
( sk_c8 = multiply(sk_c8,sF2)
| ~ spl10_3 ),
inference(forward_demodulation,[],[f245,f77]) ).
fof(f77,plain,
( sk_c8 = sF8
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl10_3
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f245,plain,
sk_c8 = multiply(sF8,sF2),
inference(forward_demodulation,[],[f230,f46]) ).
fof(f46,plain,
inverse(sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f230,plain,
sk_c8 = multiply(inverse(sk_c5),sF2),
inference(superposition,[],[f218,f34]) ).
fof(f34,plain,
multiply(sk_c5,sk_c8) = sF2,
introduced(function_definition,[]) ).
fof(f218,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f202,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f202,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
inference(superposition,[],[f3,f2]) ).
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(f785,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl10_1
| ~ spl10_18 ),
inference(forward_demodulation,[],[f180,f68]) ).
fof(f180,plain,
( sk_c7 = multiply(sk_c8,sF2)
| ~ spl10_18 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl10_18
<=> sk_c7 = multiply(sk_c8,sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_18])]) ).
fof(f770,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f236,f101]) ).
fof(f101,plain,
( sk_c7 = sF6
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl10_8
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f236,plain,
sk_c6 = multiply(inverse(sk_c8),sF6),
inference(superposition,[],[f218,f41]) ).
fof(f41,plain,
multiply(sk_c8,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f821,plain,
( sk_c8 = sk_c6
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(forward_demodulation,[],[f816,f807]) ).
fof(f807,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f782,f800]) ).
fof(f800,plain,
( sk_c8 = sk_c4
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f781,f795]) ).
fof(f795,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_18 ),
inference(backward_demodulation,[],[f766,f786]) ).
fof(f766,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl10_4 ),
inference(forward_demodulation,[],[f31,f82]) ).
fof(f82,plain,
( sk_c8 = sF0
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl10_4
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f31,plain,
multiply(sk_c4,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f781,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl10_6
| ~ spl10_9 ),
inference(backward_demodulation,[],[f772,f106]) ).
fof(f106,plain,
( sk_c8 = sF9
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl10_9
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f772,plain,
( sk_c4 = multiply(sk_c4,sF9)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f240,f91]) ).
fof(f91,plain,
( sk_c4 = sF4
| ~ spl10_6 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl10_6
<=> sk_c4 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f240,plain,
sk_c4 = multiply(sF4,sF9),
inference(forward_demodulation,[],[f232,f37]) ).
fof(f37,plain,
inverse(sk_c3) = sF4,
introduced(function_definition,[]) ).
fof(f232,plain,
sk_c4 = multiply(inverse(sk_c3),sF9),
inference(superposition,[],[f218,f49]) ).
fof(f49,plain,
multiply(sk_c3,sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f782,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| ~ spl10_9 ),
inference(backward_demodulation,[],[f49,f106]) ).
fof(f816,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f784,f815]) ).
fof(f815,plain,
( sk_c3 = sk_c5
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f764,f805]) ).
fof(f805,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f578,f800]) ).
fof(f578,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl10_6 ),
inference(forward_demodulation,[],[f231,f91]) ).
fof(f231,plain,
sk_c3 = multiply(inverse(sF4),identity),
inference(superposition,[],[f218,f147]) ).
fof(f147,plain,
identity = multiply(sF4,sk_c3),
inference(superposition,[],[f2,f37]) ).
fof(f764,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl10_3 ),
inference(backward_demodulation,[],[f237,f77]) ).
fof(f237,plain,
sk_c5 = multiply(inverse(sF8),identity),
inference(superposition,[],[f218,f148]) ).
fof(f148,plain,
identity = multiply(sF8,sk_c5),
inference(superposition,[],[f2,f46]) ).
fof(f784,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl10_1 ),
inference(forward_demodulation,[],[f34,f68]) ).
fof(f814,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_16
| ~ spl10_18 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f813,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_16
| ~ spl10_18 ),
inference(subsumption_resolution,[],[f812,f168]) ).
fof(f812,plain,
( identity = sk_c8
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(forward_demodulation,[],[f809,f2]) ).
fof(f809,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_18 ),
inference(backward_demodulation,[],[f794,f800]) ).
fof(f794,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c8)
| ~ spl10_1
| ~ spl10_3
| ~ spl10_4
| ~ spl10_18 ),
inference(backward_demodulation,[],[f763,f786]) ).
fof(f763,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl10_4 ),
inference(backward_demodulation,[],[f235,f82]) ).
fof(f235,plain,
sk_c7 = multiply(inverse(sk_c4),sF0),
inference(superposition,[],[f218,f31]) ).
fof(f776,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| spl10_18 ),
inference(avatar_contradiction_clause,[],[f775]) ).
fof(f775,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| spl10_18 ),
inference(subsumption_resolution,[],[f774,f768]) ).
fof(f768,plain,
( sk_c8 != sk_c7
| ~ spl10_3
| spl10_18 ),
inference(forward_demodulation,[],[f181,f767]) ).
fof(f181,plain,
( sk_c7 != multiply(sk_c8,sF2)
| spl10_18 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f774,plain,
( sk_c8 = sk_c7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8 ),
inference(backward_demodulation,[],[f769,f773]) ).
fof(f769,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl10_8 ),
inference(forward_demodulation,[],[f41,f101]) ).
fof(f762,plain,
( ~ spl10_3
| ~ spl10_16
| ~ spl10_18
| spl10_22 ),
inference(avatar_contradiction_clause,[],[f761]) ).
fof(f761,plain,
( $false
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18
| spl10_22 ),
inference(subsumption_resolution,[],[f760,f649]) ).
fof(f649,plain,
( identity = sk_c7
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f648,f1]) ).
fof(f648,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f647,f167]) ).
fof(f167,plain,
( identity = sk_c8
| ~ spl10_16 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f647,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f180,f380]) ).
fof(f380,plain,
( identity = sF2
| ~ spl10_3
| ~ spl10_16 ),
inference(forward_demodulation,[],[f378,f1]) ).
fof(f378,plain,
( sF2 = multiply(identity,identity)
| ~ spl10_3
| ~ spl10_16 ),
inference(backward_demodulation,[],[f312,f375]) ).
fof(f375,plain,
( identity = sk_c5
| ~ spl10_3
| ~ spl10_16 ),
inference(forward_demodulation,[],[f371,f2]) ).
fof(f371,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl10_3
| ~ spl10_16 ),
inference(backward_demodulation,[],[f237,f369]) ).
fof(f369,plain,
( identity = sF8
| ~ spl10_3
| ~ spl10_16 ),
inference(forward_demodulation,[],[f77,f167]) ).
fof(f312,plain,
( multiply(sk_c5,identity) = sF2
| ~ spl10_16 ),
inference(backward_demodulation,[],[f34,f167]) ).
fof(f760,plain,
( identity != sk_c7
| ~ spl10_16
| spl10_22 ),
inference(forward_demodulation,[],[f759,f1]) ).
fof(f759,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl10_16
| spl10_22 ),
inference(forward_demodulation,[],[f199,f167]) ).
fof(f199,plain,
( sk_c7 != multiply(sk_c8,identity)
| spl10_22 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f197,plain,
( spl10_22
<=> sk_c7 = multiply(sk_c8,identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_22])]) ).
fof(f706,plain,
( ~ spl10_13
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| ~ spl10_13
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f700,f499]) ).
fof(f499,plain,
( identity = inverse(identity)
| ~ spl10_16
| ~ spl10_19 ),
inference(forward_demodulation,[],[f185,f167]) ).
fof(f185,plain,
( sk_c8 = inverse(identity)
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl10_19
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_19])]) ).
fof(f700,plain,
( identity != inverse(identity)
| ~ spl10_13
| ~ spl10_16
| ~ spl10_22 ),
inference(trivial_inequality_removal,[],[f697]) ).
fof(f697,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl10_13
| ~ spl10_16
| ~ spl10_22 ),
inference(superposition,[],[f695,f1]) ).
fof(f695,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_13
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f694,f167]) ).
fof(f694,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl10_13
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f693,f167]) ).
fof(f693,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c8 != inverse(X3) )
| ~ spl10_13
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f126,f431]) ).
fof(f431,plain,
( identity = sk_c7
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f430,f1]) ).
fof(f430,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f198,f167]) ).
fof(f198,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl10_22 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f126,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl10_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f683,plain,
( ~ spl10_14
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl10_14
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f681,f1]) ).
fof(f681,plain,
( identity != multiply(identity,identity)
| ~ spl10_14
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(forward_demodulation,[],[f679,f499]) ).
fof(f679,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl10_14
| ~ spl10_16
| ~ spl10_22 ),
inference(trivial_inequality_removal,[],[f678]) ).
fof(f678,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl10_14
| ~ spl10_16
| ~ spl10_22 ),
inference(superposition,[],[f664,f2]) ).
fof(f664,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_14
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f663,f167]) ).
fof(f663,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl10_14
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f662,f167]) ).
fof(f662,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),identity)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl10_14
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f129,f431]) ).
fof(f129,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl10_14
<=> ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != multiply(X5,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f653,plain,
( ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_15
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f652,plain,
( $false
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_15
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f651,f431]) ).
fof(f651,plain,
( identity != sk_c7
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_15
| ~ spl10_16
| ~ spl10_19
| ~ spl10_22 ),
inference(forward_demodulation,[],[f650,f499]) ).
fof(f650,plain,
( sk_c7 != inverse(identity)
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| spl10_15
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f163,f629]) ).
fof(f629,plain,
( identity = sk_c4
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_16
| ~ spl10_22 ),
inference(backward_demodulation,[],[f526,f628]) ).
fof(f628,plain,
( ! [X14] : multiply(sk_c4,X14) = X14
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| ~ spl10_22 ),
inference(forward_demodulation,[],[f622,f1]) ).
fof(f622,plain,
( ! [X14] : multiply(sk_c4,multiply(identity,X14)) = X14
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| ~ spl10_22 ),
inference(backward_demodulation,[],[f601,f616]) ).
fof(f616,plain,
( identity = sk_c3
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| ~ spl10_22 ),
inference(backward_demodulation,[],[f579,f431]) ).
fof(f579,plain,
( sk_c3 = sk_c7
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16 ),
inference(backward_demodulation,[],[f547,f578]) ).
fof(f547,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl10_4
| ~ spl10_16 ),
inference(forward_demodulation,[],[f235,f391]) ).
fof(f391,plain,
( identity = sF0
| ~ spl10_4
| ~ spl10_16 ),
inference(forward_demodulation,[],[f82,f167]) ).
fof(f601,plain,
( ! [X14] : multiply(sk_c4,multiply(sk_c3,X14)) = X14
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16 ),
inference(forward_demodulation,[],[f501,f579]) ).
fof(f501,plain,
( ! [X14] : multiply(sk_c4,multiply(sk_c7,X14)) = X14
| ~ spl10_4
| ~ spl10_16 ),
inference(forward_demodulation,[],[f500,f1]) ).
fof(f500,plain,
( ! [X14] : multiply(sk_c4,multiply(sk_c7,X14)) = multiply(identity,X14)
| ~ spl10_4
| ~ spl10_16 ),
inference(forward_demodulation,[],[f210,f391]) ).
fof(f210,plain,
! [X14] : multiply(sk_c4,multiply(sk_c7,X14)) = multiply(sF0,X14),
inference(superposition,[],[f3,f31]) ).
fof(f526,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl10_6
| ~ spl10_9
| ~ spl10_16 ),
inference(backward_demodulation,[],[f362,f91]) ).
fof(f362,plain,
( sk_c4 = multiply(sF4,identity)
| ~ spl10_9
| ~ spl10_16 ),
inference(backward_demodulation,[],[f240,f361]) ).
fof(f361,plain,
( identity = sF9
| ~ spl10_9
| ~ spl10_16 ),
inference(forward_demodulation,[],[f106,f167]) ).
fof(f163,plain,
( sk_c7 != inverse(sk_c4)
| spl10_15 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl10_15
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f636,plain,
( ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_16
| spl10_17
| ~ spl10_19
| ~ spl10_22 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_16
| spl10_17
| ~ spl10_19
| ~ spl10_22 ),
inference(subsumption_resolution,[],[f634,f499]) ).
fof(f634,plain,
( identity != inverse(identity)
| ~ spl10_4
| ~ spl10_6
| ~ spl10_9
| ~ spl10_16
| spl10_17
| ~ spl10_22 ),
inference(forward_demodulation,[],[f624,f629]) ).
fof(f624,plain,
( identity != inverse(sk_c4)
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| spl10_17
| ~ spl10_22 ),
inference(backward_demodulation,[],[f609,f616]) ).
fof(f609,plain,
( sk_c3 != inverse(sk_c4)
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| spl10_17 ),
inference(forward_demodulation,[],[f608,f523]) ).
fof(f523,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl10_6 ),
inference(backward_demodulation,[],[f37,f91]) ).
fof(f608,plain,
( sk_c3 != inverse(inverse(sk_c3))
| ~ spl10_4
| ~ spl10_6
| ~ spl10_16
| spl10_17 ),
inference(forward_demodulation,[],[f172,f579]) ).
fof(f172,plain,
( sk_c7 != inverse(inverse(sk_c7))
| spl10_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl10_17
<=> sk_c7 = inverse(inverse(sk_c7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f572,plain,
( ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| ~ spl10_16
| spl10_18 ),
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| ~ spl10_16
| spl10_18 ),
inference(subsumption_resolution,[],[f426,f569]) ).
fof(f569,plain,
( identity != sk_c7
| ~ spl10_3
| ~ spl10_16
| spl10_18 ),
inference(forward_demodulation,[],[f568,f1]) ).
fof(f568,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl10_3
| ~ spl10_16
| spl10_18 ),
inference(forward_demodulation,[],[f567,f167]) ).
fof(f567,plain,
( sk_c7 != multiply(sk_c8,identity)
| ~ spl10_3
| ~ spl10_16
| spl10_18 ),
inference(forward_demodulation,[],[f181,f380]) ).
fof(f426,plain,
( identity = sk_c7
| ~ spl10_1
| ~ spl10_3
| ~ spl10_8
| ~ spl10_16 ),
inference(forward_demodulation,[],[f101,f415]) ).
fof(f415,plain,
( identity = sF6
| ~ spl10_1
| ~ spl10_3
| ~ spl10_16 ),
inference(backward_demodulation,[],[f341,f414]) ).
fof(f414,plain,
( identity = sk_c6
| ~ spl10_1
| ~ spl10_3
| ~ spl10_16 ),
inference(forward_demodulation,[],[f68,f380]) ).
fof(f341,plain,
( sk_c6 = sF6
| ~ spl10_16 ),
inference(forward_demodulation,[],[f313,f1]) ).
fof(f313,plain,
( sF6 = multiply(identity,sk_c6)
| ~ spl10_16 ),
inference(backward_demodulation,[],[f41,f167]) ).
fof(f563,plain,
( ~ spl10_3
| ~ spl10_16
| ~ spl10_18
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f562,plain,
( $false
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18
| spl10_20 ),
inference(subsumption_resolution,[],[f561,f454]) ).
fof(f454,plain,
( identity = sk_c7
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f453,f1]) ).
fof(f453,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f452,f167]) ).
fof(f452,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl10_3
| ~ spl10_16
| ~ spl10_18 ),
inference(forward_demodulation,[],[f180,f380]) ).
fof(f561,plain,
( identity != sk_c7
| ~ spl10_16
| spl10_20 ),
inference(forward_demodulation,[],[f560,f1]) ).
fof(f560,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl10_16
| spl10_20 ),
inference(forward_demodulation,[],[f190,f167]) ).
fof(f190,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl10_20 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl10_20
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f492,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f491,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f486,f433]) ).
fof(f433,plain,
( identity = inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f432,f167]) ).
fof(f432,plain,
( sk_c8 = inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f276,f420]) ).
fof(f420,plain,
( identity = sk_c2
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f419,f2]) ).
fof(f419,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f286,f167]) ).
fof(f286,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_20 ),
inference(backward_demodulation,[],[f238,f270]) ).
fof(f270,plain,
( sk_c8 = sk_c7
| ~ spl10_5
| ~ spl10_7
| ~ spl10_20 ),
inference(forward_demodulation,[],[f269,f142]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl10_7 ),
inference(backward_demodulation,[],[f39,f96]) ).
fof(f96,plain,
( sk_c8 = sF5
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl10_7
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f39,plain,
multiply(sk_c2,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f269,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_20 ),
inference(forward_demodulation,[],[f266,f189]) ).
fof(f189,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl10_20 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f266,plain,
( multiply(sk_c2,sk_c7) = multiply(sk_c8,sk_c8)
| ~ spl10_5
| ~ spl10_7 ),
inference(superposition,[],[f208,f246]) ).
fof(f246,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f233,f145]) ).
fof(f145,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl10_5 ),
inference(backward_demodulation,[],[f32,f86]) ).
fof(f86,plain,
( sk_c7 = sF1
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl10_5
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f32,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f233,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl10_7 ),
inference(superposition,[],[f218,f142]) ).
fof(f208,plain,
( ! [X12] : multiply(sk_c2,multiply(sk_c7,X12)) = multiply(sk_c8,X12)
| ~ spl10_7 ),
inference(superposition,[],[f3,f142]) ).
fof(f238,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl10_5 ),
inference(superposition,[],[f218,f149]) ).
fof(f149,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl10_5 ),
inference(superposition,[],[f2,f145]) ).
fof(f276,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_20 ),
inference(backward_demodulation,[],[f145,f270]) ).
fof(f486,plain,
( identity != inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(trivial_inequality_removal,[],[f482]) ).
fof(f482,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(superposition,[],[f480,f1]) ).
fof(f480,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f479,f167]) ).
fof(f479,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_13
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f478,f328]) ).
fof(f328,plain,
( identity = sk_c7
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20 ),
inference(backward_demodulation,[],[f270,f167]) ).
fof(f478,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl10_13
| ~ spl10_16 ),
inference(forward_demodulation,[],[f126,f167]) ).
fof(f477,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f476,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f470,f1]) ).
fof(f470,plain,
( identity != multiply(identity,identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(duplicate_literal_removal,[],[f467]) ).
fof(f467,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(superposition,[],[f444,f433]) ).
fof(f444,plain,
( ! [X5] :
( identity != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f443,f167]) ).
fof(f443,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),identity)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_5
| ~ spl10_7
| ~ spl10_14
| ~ spl10_16
| ~ spl10_20 ),
inference(forward_demodulation,[],[f442,f328]) ).
fof(f442,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| identity != multiply(X5,inverse(X5)) )
| ~ spl10_14
| ~ spl10_16 ),
inference(forward_demodulation,[],[f129,f167]) ).
fof(f451,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20
| spl10_24 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_16
| ~ spl10_20
| spl10_24 ),
inference(subsumption_resolution,[],[f327,f433]) ).
fof(f327,plain,
( identity != inverse(identity)
| ~ spl10_16
| spl10_24 ),
inference(backward_demodulation,[],[f257,f167]) ).
fof(f257,plain,
( sk_c8 != inverse(sk_c8)
| spl10_24 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl10_24
<=> sk_c8 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f390,plain,
( ~ spl10_3
| ~ spl10_16
| spl10_19 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl10_3
| ~ spl10_16
| spl10_19 ),
inference(subsumption_resolution,[],[f388,f320]) ).
fof(f320,plain,
( identity != inverse(identity)
| ~ spl10_16
| spl10_19 ),
inference(backward_demodulation,[],[f186,f167]) ).
fof(f186,plain,
( sk_c8 != inverse(identity)
| spl10_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f388,plain,
( identity = inverse(identity)
| ~ spl10_3
| ~ spl10_16 ),
inference(forward_demodulation,[],[f374,f375]) ).
fof(f374,plain,
( identity = inverse(sk_c5)
| ~ spl10_3
| ~ spl10_16 ),
inference(backward_demodulation,[],[f46,f369]) ).
fof(f310,plain,
( spl10_16
| ~ spl10_5
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f309,f94,f84,f166]) ).
fof(f309,plain,
( identity = sk_c8
| ~ spl10_5
| ~ spl10_7 ),
inference(forward_demodulation,[],[f267,f2]) ).
fof(f267,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl10_5
| ~ spl10_7 ),
inference(superposition,[],[f218,f246]) ).
fof(f307,plain,
( ~ spl10_24
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12
| ~ spl10_20 ),
inference(avatar_split_clause,[],[f306,f188,f122,f94,f84,f255]) ).
fof(f122,plain,
( spl10_12
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f306,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12
| ~ spl10_20 ),
inference(subsumption_resolution,[],[f305,f278]) ).
fof(f278,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_20 ),
inference(backward_demodulation,[],[f189,f270]) ).
fof(f305,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12
| ~ spl10_20 ),
inference(forward_demodulation,[],[f304,f270]) ).
fof(f304,plain,
( sk_c8 != inverse(sk_c8)
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12
| ~ spl10_20 ),
inference(forward_demodulation,[],[f265,f270]) ).
fof(f265,plain,
( sk_c8 != inverse(sk_c7)
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl10_5
| ~ spl10_7
| ~ spl10_12 ),
inference(superposition,[],[f123,f246]) ).
fof(f123,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f244,plain,
( ~ spl10_2
| ~ spl10_10
| spl10_20 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl10_2
| ~ spl10_10
| spl10_20 ),
inference(subsumption_resolution,[],[f242,f190]) ).
fof(f242,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl10_2
| ~ spl10_10 ),
inference(forward_demodulation,[],[f234,f143]) ).
fof(f143,plain,
( inverse(sk_c1) = sk_c8
| ~ spl10_2 ),
inference(backward_demodulation,[],[f43,f72]) ).
fof(f72,plain,
( sk_c8 = sF7
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl10_2
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f43,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f234,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl10_10 ),
inference(superposition,[],[f218,f144]) ).
fof(f144,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl10_10 ),
inference(backward_demodulation,[],[f36,f111]) ).
fof(f111,plain,
( sk_c8 = sF3
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl10_10
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f36,plain,
multiply(sk_c1,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f191,plain,
( ~ spl10_19
| ~ spl10_20
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f175,f122,f188,f184]) ).
fof(f175,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl10_12 ),
inference(superposition,[],[f123,f1]) ).
fof(f182,plain,
( ~ spl10_3
| ~ spl10_18
| ~ spl10_12 ),
inference(avatar_split_clause,[],[f177,f122,f179,f75]) ).
fof(f177,plain,
( sk_c7 != multiply(sk_c8,sF2)
| sk_c8 != sF8
| ~ spl10_12 ),
inference(forward_demodulation,[],[f174,f46]) ).
fof(f174,plain,
( sk_c8 != inverse(sk_c5)
| sk_c7 != multiply(sk_c8,sF2)
| ~ spl10_12 ),
inference(superposition,[],[f123,f34]) ).
fof(f173,plain,
( ~ spl10_16
| ~ spl10_17
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f154,f119,f170,f166]) ).
fof(f119,plain,
( spl10_11
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f154,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != sk_c8
| ~ spl10_11 ),
inference(superposition,[],[f120,f2]) ).
fof(f120,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f164,plain,
( ~ spl10_15
| ~ spl10_4
| ~ spl10_11 ),
inference(avatar_split_clause,[],[f152,f119,f80,f161]) ).
fof(f152,plain,
( sk_c8 != sF0
| sk_c7 != inverse(sk_c4)
| ~ spl10_11 ),
inference(superposition,[],[f120,f31]) ).
fof(f159,plain,
( ~ spl10_5
| ~ spl10_7
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f158,plain,
( $false
| ~ spl10_5
| ~ spl10_7
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f155,f145]) ).
fof(f155,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl10_7
| ~ spl10_11 ),
inference(trivial_inequality_removal,[],[f150]) ).
fof(f150,plain,
( sk_c7 != inverse(sk_c2)
| sk_c8 != sk_c8
| ~ spl10_7
| ~ spl10_11 ),
inference(superposition,[],[f120,f142]) ).
fof(f141,plain,
( spl10_6
| spl10_5 ),
inference(avatar_split_clause,[],[f54,f84,f89]) ).
fof(f54,plain,
( sk_c7 = sF1
| sk_c4 = sF4 ),
inference(definition_folding,[],[f23,f37,f32]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f140,plain,
( spl10_10
| spl10_8 ),
inference(avatar_split_clause,[],[f42,f99,f109]) ).
fof(f42,plain,
( sk_c7 = sF6
| sk_c8 = sF3 ),
inference(definition_folding,[],[f13,f36,f41]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f139,plain,
( spl10_4
| spl10_7 ),
inference(avatar_split_clause,[],[f45,f94,f80]) ).
fof(f45,plain,
( sk_c8 = sF5
| sk_c8 = sF0 ),
inference(definition_folding,[],[f18,f31,f39]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f138,plain,
( spl10_3
| spl10_7 ),
inference(avatar_split_clause,[],[f59,f94,f75]) ).
fof(f59,plain,
( sk_c8 = sF5
| sk_c8 = sF8 ),
inference(definition_folding,[],[f21,f39,f46]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f137,plain,
( spl10_1
| spl10_7 ),
inference(avatar_split_clause,[],[f61,f94,f66]) ).
fof(f61,plain,
( sk_c8 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f20,f34,f39]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f136,plain,
( spl10_5
| spl10_3 ),
inference(avatar_split_clause,[],[f57,f75,f84]) ).
fof(f57,plain,
( sk_c8 = sF8
| sk_c7 = sF1 ),
inference(definition_folding,[],[f27,f32,f46]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f135,plain,
( spl10_9
| spl10_5 ),
inference(avatar_split_clause,[],[f60,f84,f104]) ).
fof(f60,plain,
( sk_c7 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f22,f32,f49]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f134,plain,
( spl10_10
| spl10_1 ),
inference(avatar_split_clause,[],[f63,f66,f109]) ).
fof(f63,plain,
( sk_c6 = sF2
| sk_c8 = sF3 ),
inference(definition_folding,[],[f14,f36,f34]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f132,plain,
( spl10_5
| spl10_1 ),
inference(avatar_split_clause,[],[f35,f66,f84]) ).
fof(f35,plain,
( sk_c6 = sF2
| sk_c7 = sF1 ),
inference(definition_folding,[],[f26,f32,f34]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f130,plain,
( spl10_11
| spl10_12
| spl10_13
| spl10_14 ),
inference(avatar_split_clause,[],[f30,f128,f125,f122,f119]) ).
fof(f30,plain,
! [X3,X8,X4,X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f29]) ).
fof(f29,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(X5,X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X8)
| inverse(X5) != X6 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X5,X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| multiply(X8,sk_c8) != X7
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X8)
| inverse(X5) != X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f117,plain,
( spl10_5
| spl10_8 ),
inference(avatar_split_clause,[],[f53,f99,f84]) ).
fof(f53,plain,
( sk_c7 = sF6
| sk_c7 = sF1 ),
inference(definition_folding,[],[f25,f32,f41]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f114,plain,
( spl10_8
| spl10_7 ),
inference(avatar_split_clause,[],[f48,f94,f99]) ).
fof(f48,plain,
( sk_c8 = sF5
| sk_c7 = sF6 ),
inference(definition_folding,[],[f19,f41,f39]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f112,plain,
( spl10_10
| spl10_3 ),
inference(avatar_split_clause,[],[f47,f75,f109]) ).
fof(f47,plain,
( sk_c8 = sF8
| sk_c8 = sF3 ),
inference(definition_folding,[],[f15,f36,f46]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f107,plain,
( spl10_7
| spl10_9 ),
inference(avatar_split_clause,[],[f52,f104,f94]) ).
fof(f52,plain,
( sk_c8 = sF9
| sk_c8 = sF5 ),
inference(definition_folding,[],[f16,f39,f49]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f102,plain,
( spl10_2
| spl10_8 ),
inference(avatar_split_clause,[],[f58,f99,f70]) ).
fof(f58,plain,
( sk_c7 = sF6
| sk_c8 = sF7 ),
inference(definition_folding,[],[f7,f43,f41]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f97,plain,
( spl10_6
| spl10_7 ),
inference(avatar_split_clause,[],[f40,f94,f89]) ).
fof(f40,plain,
( sk_c8 = sF5
| sk_c4 = sF4 ),
inference(definition_folding,[],[f17,f39,f37]) ).
fof(f17,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f87,plain,
( spl10_4
| spl10_5 ),
inference(avatar_split_clause,[],[f33,f84,f80]) ).
fof(f33,plain,
( sk_c7 = sF1
| sk_c8 = sF0 ),
inference(definition_folding,[],[f24,f32,f31]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f78,plain,
( spl10_2
| spl10_3 ),
inference(avatar_split_clause,[],[f62,f75,f70]) ).
fof(f62,plain,
( sk_c8 = sF8
| sk_c8 = sF7 ),
inference(definition_folding,[],[f9,f43,f46]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f73,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f55,f70,f66]) ).
fof(f55,plain,
( sk_c8 = sF7
| sk_c6 = sF2 ),
inference(definition_folding,[],[f8,f43,f34]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP230-1 : 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 : n024.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 22:24:04 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.50 % (29769)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.50 % (29793)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)
% 0.21/0.51 % (29785)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)
% 0.21/0.51 % (29793)Refutation not found, incomplete strategy% (29793)------------------------------
% 0.21/0.51 % (29793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (29793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (29793)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (29793)Memory used [KB]: 5884
% 0.21/0.51 % (29793)Time elapsed: 0.068 s
% 0.21/0.51 % (29793)Instructions burned: 3 (million)
% 0.21/0.51 % (29793)------------------------------
% 0.21/0.51 % (29793)------------------------------
% 0.21/0.51 % (29777)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)
% 0.21/0.51 % (29785)Instruction limit reached!
% 0.21/0.51 % (29785)------------------------------
% 0.21/0.51 % (29785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (29781)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)
% 0.21/0.51 % (29785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (29785)Termination reason: Unknown
% 0.21/0.51 % (29785)Termination phase: Finite model building preprocessing
% 0.21/0.51
% 0.21/0.51 % (29785)Memory used [KB]: 6012
% 0.21/0.51 % (29785)Time elapsed: 0.008 s
% 0.21/0.51 % (29785)Instructions burned: 7 (million)
% 0.21/0.51 % (29785)------------------------------
% 0.21/0.51 % (29785)------------------------------
% 0.21/0.51 % (29782)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)
% 0.21/0.52 % (29779)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)
% 0.21/0.52 % (29770)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)
% 0.21/0.53 % (29773)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)
% 0.21/0.53 % (29782)Instruction limit reached!
% 0.21/0.53 % (29782)------------------------------
% 0.21/0.53 % (29782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29774)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (29782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29782)Termination reason: Unknown
% 0.21/0.53 % (29782)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (29782)Memory used [KB]: 5884
% 0.21/0.53 % (29782)Time elapsed: 0.126 s
% 0.21/0.53 % (29782)Instructions burned: 6 (million)
% 0.21/0.53 % (29782)------------------------------
% 0.21/0.53 % (29782)------------------------------
% 0.21/0.53 % (29799)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)
% 0.21/0.53 % (29784)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)
% 0.21/0.53 % (29771)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)
% 0.21/0.53 % (29776)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)
% 0.21/0.53 % (29792)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)
% 0.21/0.53 % (29771)Instruction limit reached!
% 0.21/0.53 % (29771)------------------------------
% 0.21/0.53 % (29771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29771)Termination reason: Unknown
% 0.21/0.53 % (29771)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (29771)Memory used [KB]: 5884
% 0.21/0.53 % (29771)Time elapsed: 0.133 s
% 0.21/0.53 % (29771)Instructions burned: 5 (million)
% 0.21/0.53 % (29771)------------------------------
% 0.21/0.53 % (29771)------------------------------
% 0.21/0.53 % (29790)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)
% 0.21/0.53 % (29780)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)
% 0.21/0.53 % (29798)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)
% 0.21/0.53 % (29788)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)
% 0.21/0.54 % (29780)Instruction limit reached!
% 0.21/0.54 % (29780)------------------------------
% 0.21/0.54 % (29780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29780)Termination reason: Unknown
% 0.21/0.54 % (29780)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29780)Memory used [KB]: 6012
% 0.21/0.54 % (29780)Time elapsed: 0.134 s
% 0.21/0.54 % (29780)Instructions burned: 7 (million)
% 0.21/0.54 % (29780)------------------------------
% 0.21/0.54 % (29780)------------------------------
% 0.21/0.54 % (29794)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)
% 0.21/0.54 % (29790)Instruction limit reached!
% 0.21/0.54 % (29790)------------------------------
% 0.21/0.54 % (29790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29790)Termination reason: Unknown
% 0.21/0.54 % (29790)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29790)Memory used [KB]: 1407
% 0.21/0.54 % (29790)Time elapsed: 0.139 s
% 0.21/0.54 % (29790)Instructions burned: 6 (million)
% 0.21/0.54 % (29790)------------------------------
% 0.21/0.54 % (29790)------------------------------
% 0.21/0.54 % (29791)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)
% 0.21/0.54 % (29769)First to succeed.
% 0.21/0.54 % (29796)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)
% 0.21/0.54 % (29797)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)
% 0.21/0.54 % (29795)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)
% 0.21/0.54 % (29769)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (29769)------------------------------
% 0.21/0.55 % (29769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29769)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (29769)Memory used [KB]: 6268
% 0.21/0.55 % (29769)Time elapsed: 0.154 s
% 0.21/0.55 % (29769)Instructions burned: 25 (million)
% 0.21/0.55 % (29769)------------------------------
% 0.21/0.55 % (29769)------------------------------
% 0.21/0.55 % (29766)Success in time 0.193 s
%------------------------------------------------------------------------------