TSTP Solution File: GRP247-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP247-1 : 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 : n001.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 16:15:01 EDT 2022
% Result : Unsatisfiable 0.18s 0.53s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 69
% Syntax : Number of formulae : 329 ( 29 unt; 0 def)
% Number of atoms : 1062 ( 370 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1389 ( 656 ~; 713 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1046,plain,
$false,
inference(avatar_sat_refutation,[],[f97,f106,f115,f120,f125,f134,f139,f140,f142,f143,f144,f145,f146,f151,f152,f153,f154,f155,f156,f157,f158,f171,f172,f173,f174,f175,f177,f178,f179,f180,f182,f183,f184,f185,f214,f392,f435,f461,f472,f543,f586,f614,f620,f634,f796,f818,f899,f993,f998,f1042]) ).
fof(f1042,plain,
( ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_16
| ~ spl12_28
| ~ spl12_36 ),
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_16
| ~ spl12_28
| ~ spl12_36 ),
inference(subsumption_resolution,[],[f1040,f1029]) ).
fof(f1029,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_16
| ~ spl12_36 ),
inference(forward_demodulation,[],[f896,f1016]) ).
fof(f1016,plain,
( sk_c1 = sk_c9
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_36 ),
inference(forward_demodulation,[],[f1015,f476]) ).
fof(f476,plain,
( sk_c1 = multiply(inverse(sk_c9),identity)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f267,f114]) ).
fof(f114,plain,
( sk_c9 = sF3
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl12_6
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f267,plain,
sk_c1 = multiply(inverse(sF3),identity),
inference(superposition,[],[f234,f192]) ).
fof(f192,plain,
identity = multiply(sF3,sk_c1),
inference(superposition,[],[f2,f45]) ).
fof(f45,plain,
inverse(sk_c1) = sF3,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f234,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f226,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f226,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1015,plain,
( sk_c9 = multiply(inverse(sk_c9),identity)
| ~ spl12_7
| ~ spl12_8
| ~ spl12_36 ),
inference(forward_demodulation,[],[f889,f803]) ).
fof(f803,plain,
( identity = sk_c7
| ~ spl12_36 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f802,plain,
( spl12_36
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_36])]) ).
fof(f889,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c7)
| ~ spl12_7
| ~ spl12_8 ),
inference(superposition,[],[f234,f654]) ).
fof(f654,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl12_7
| ~ spl12_8 ),
inference(forward_demodulation,[],[f653,f124]) ).
fof(f124,plain,
( sk_c9 = sF9
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f122,plain,
( spl12_8
<=> sk_c9 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f653,plain,
( sk_c7 = multiply(sF9,sk_c9)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f283,f119]) ).
fof(f119,plain,
( sk_c9 = sF4
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl12_7
<=> sk_c9 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f283,plain,
sk_c7 = multiply(sF9,sF4),
inference(forward_demodulation,[],[f266,f61]) ).
fof(f61,plain,
inverse(sk_c3) = sF9,
introduced(function_definition,[]) ).
fof(f266,plain,
sk_c7 = multiply(inverse(sk_c3),sF4),
inference(superposition,[],[f234,f47]) ).
fof(f47,plain,
multiply(sk_c3,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f896,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f893,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_16 ),
inference(superposition,[],[f170,f713]) ).
fof(f713,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f475,f101]) ).
fof(f101,plain,
( sk_c8 = sF10
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl12_3
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f475,plain,
( sk_c9 = multiply(sk_c9,sF10)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f281,f114]) ).
fof(f281,plain,
sk_c9 = multiply(sF3,sF10),
inference(forward_demodulation,[],[f258,f45]) ).
fof(f258,plain,
sk_c9 = multiply(inverse(sk_c1),sF10),
inference(superposition,[],[f234,f63]) ).
fof(f63,plain,
multiply(sk_c1,sk_c9) = sF10,
introduced(function_definition,[]) ).
fof(f170,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl12_16
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c9 != multiply(X8,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f1040,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_28
| ~ spl12_36 ),
inference(forward_demodulation,[],[f452,f1016]) ).
fof(f452,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl12_28
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f998,plain,
( spl12_36
| ~ spl12_1
| ~ spl12_10
| ~ spl12_37 ),
inference(avatar_split_clause,[],[f963,f820,f131,f90,f802]) ).
fof(f90,plain,
( spl12_1
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f131,plain,
( spl12_10
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f820,plain,
( spl12_37
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_37])]) ).
fof(f963,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_10
| ~ spl12_37 ),
inference(forward_demodulation,[],[f962,f1]) ).
fof(f962,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_10
| ~ spl12_37 ),
inference(forward_demodulation,[],[f919,f928]) ).
fof(f928,plain,
( identity = sk_c2
| ~ spl12_10
| ~ spl12_37 ),
inference(forward_demodulation,[],[f905,f2]) ).
fof(f905,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl12_10
| ~ spl12_37 ),
inference(backward_demodulation,[],[f643,f821]) ).
fof(f821,plain,
( identity = sk_c8
| ~ spl12_37 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f643,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f268,f133]) ).
fof(f133,plain,
( sk_c8 = sF6
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f268,plain,
sk_c2 = multiply(inverse(sF6),identity),
inference(superposition,[],[f234,f196]) ).
fof(f196,plain,
identity = multiply(sF6,sk_c2),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c2) = sF6,
introduced(function_definition,[]) ).
fof(f919,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl12_1
| ~ spl12_37 ),
inference(backward_demodulation,[],[f766,f821]) ).
fof(f766,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl12_1 ),
inference(forward_demodulation,[],[f42,f92]) ).
fof(f92,plain,
( sk_c7 = sF1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f42,plain,
multiply(sk_c2,sk_c8) = sF1,
introduced(function_definition,[]) ).
fof(f993,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_16
| ~ spl12_28
| ~ spl12_37 ),
inference(avatar_contradiction_clause,[],[f992]) ).
fof(f992,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_16
| ~ spl12_28
| ~ spl12_37 ),
inference(subsumption_resolution,[],[f978,f987]) ).
fof(f987,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_16
| ~ spl12_37 ),
inference(backward_demodulation,[],[f896,f970]) ).
fof(f970,plain,
( sk_c1 = sk_c9
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_37 ),
inference(forward_demodulation,[],[f96,f939]) ).
fof(f939,plain,
( sk_c1 = sF5
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_37 ),
inference(forward_demodulation,[],[f910,f935]) ).
fof(f935,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_37 ),
inference(forward_demodulation,[],[f923,f1]) ).
fof(f923,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c1)
| ~ spl12_3
| ~ spl12_6
| ~ spl12_37 ),
inference(backward_demodulation,[],[f876,f821]) ).
fof(f876,plain,
( multiply(sk_c1,identity) = multiply(sk_c8,sk_c1)
| ~ spl12_3
| ~ spl12_6 ),
inference(superposition,[],[f763,f478]) ).
fof(f478,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f192,f114]) ).
fof(f763,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c9,X8)) = multiply(sk_c8,X8)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f227,f101]) ).
fof(f227,plain,
! [X8] : multiply(sk_c1,multiply(sk_c9,X8)) = multiply(sF10,X8),
inference(superposition,[],[f3,f63]) ).
fof(f910,plain,
( multiply(sk_c1,identity) = sF5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_37 ),
inference(backward_demodulation,[],[f712,f821]) ).
fof(f712,plain,
( sF5 = multiply(sk_c1,sk_c8)
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f48,f641]) ).
fof(f641,plain,
( sk_c1 = sk_c6
| ~ spl12_6
| ~ spl12_11 ),
inference(forward_demodulation,[],[f260,f476]) ).
fof(f260,plain,
( sk_c6 = multiply(inverse(sk_c9),identity)
| ~ spl12_11 ),
inference(superposition,[],[f234,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl12_11 ),
inference(superposition,[],[f2,f188]) ).
fof(f188,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f41,f138]) ).
fof(f138,plain,
( sk_c9 = sF0
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl12_11
<=> sk_c9 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f41,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f48,plain,
multiply(sk_c6,sk_c8) = sF5,
introduced(function_definition,[]) ).
fof(f96,plain,
( sk_c9 = sF5
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl12_2
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f978,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_6
| ~ spl12_11
| ~ spl12_28
| ~ spl12_37 ),
inference(backward_demodulation,[],[f452,f970]) ).
fof(f899,plain,
( spl12_37
| ~ spl12_3
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f898,f112,f99,f820]) ).
fof(f898,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_6 ),
inference(forward_demodulation,[],[f894,f2]) ).
fof(f894,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_3
| ~ spl12_6 ),
inference(superposition,[],[f234,f713]) ).
fof(f818,plain,
( ~ spl12_3
| ~ spl12_15
| ~ spl12_28 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl12_3
| ~ spl12_15
| ~ spl12_28 ),
inference(subsumption_resolution,[],[f816,f452]) ).
fof(f816,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl12_3
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f814]) ).
fof(f814,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl12_3
| ~ spl12_15 ),
inference(superposition,[],[f167,f711]) ).
fof(f711,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl12_3 ),
inference(forward_demodulation,[],[f63,f101]) ).
fof(f167,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl12_15
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f796,plain,
( ~ spl12_1
| ~ spl12_10
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| ~ spl12_1
| ~ spl12_10
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f779,f646]) ).
fof(f646,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl12_10 ),
inference(forward_demodulation,[],[f50,f133]) ).
fof(f779,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl12_1
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f778]) ).
fof(f778,plain,
( sk_c7 != sk_c7
| sk_c8 != inverse(sk_c2)
| ~ spl12_1
| ~ spl12_14 ),
inference(superposition,[],[f164,f766]) ).
fof(f164,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl12_14
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f634,plain,
( ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl12_1
| spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f632,f609]) ).
fof(f609,plain,
( sk_c1 != sk_c9
| spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f95,f608]) ).
fof(f608,plain,
( sk_c1 = sF5
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f592,f607]) ).
fof(f607,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_12 ),
inference(forward_demodulation,[],[f326,f591]) ).
fof(f591,plain,
( sk_c1 = sk_c4
| ~ spl12_6
| ~ spl12_12 ),
inference(forward_demodulation,[],[f259,f476]) ).
fof(f259,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl12_12 ),
inference(superposition,[],[f234,f193]) ).
fof(f193,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl12_12 ),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f65,f150]) ).
fof(f150,plain,
( sk_c9 = sF11
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl12_12
<=> sk_c9 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f65,plain,
inverse(sk_c4) = sF11,
introduced(function_definition,[]) ).
fof(f326,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f321,f1]) ).
fof(f321,plain,
( multiply(sk_c4,identity) = multiply(identity,sk_c4)
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f289,f300]) ).
fof(f300,plain,
( identity = sk_c8
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f298,f2]) ).
fof(f298,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl12_5
| ~ spl12_12 ),
inference(superposition,[],[f234,f272]) ).
fof(f272,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f262,f187]) ).
fof(f262,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl12_5 ),
inference(superposition,[],[f234,f190]) ).
fof(f190,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f52,f110]) ).
fof(f110,plain,
( sk_c8 = sF7
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl12_5
<=> sk_c8 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f52,plain,
multiply(sk_c4,sk_c9) = sF7,
introduced(function_definition,[]) ).
fof(f289,plain,
( multiply(sk_c4,identity) = multiply(sk_c8,sk_c4)
| ~ spl12_5
| ~ spl12_12 ),
inference(superposition,[],[f228,f193]) ).
fof(f228,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c4,multiply(sk_c9,X9))
| ~ spl12_5 ),
inference(superposition,[],[f3,f190]) ).
fof(f592,plain,
( multiply(sk_c1,identity) = sF5
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f588,f591]) ).
fof(f588,plain,
( multiply(sk_c4,identity) = sF5
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f587,f275]) ).
fof(f275,plain,
( sk_c4 = sk_c6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f260,f259]) ).
fof(f587,plain,
( multiply(sk_c6,identity) = sF5
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f48,f300]) ).
fof(f95,plain,
( sk_c9 != sF5
| spl12_2 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f632,plain,
( sk_c1 = sk_c9
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f631,f607]) ).
fof(f631,plain,
( sk_c9 = multiply(sk_c1,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f630,f621]) ).
fof(f621,plain,
( sk_c1 = sk_c3
| ~ spl12_6
| ~ spl12_8 ),
inference(forward_demodulation,[],[f618,f476]) ).
fof(f618,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f269,f124]) ).
fof(f269,plain,
sk_c3 = multiply(inverse(sF9),identity),
inference(superposition,[],[f234,f197]) ).
fof(f197,plain,
identity = multiply(sF9,sk_c3),
inference(superposition,[],[f2,f61]) ).
fof(f630,plain,
( sk_c9 = multiply(sk_c3,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_7
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f629,f526]) ).
fof(f526,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f524,f1]) ).
fof(f524,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f514,f523]) ).
fof(f523,plain,
( identity = sk_c2
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f520,f2]) ).
fof(f520,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f268,f517]) ).
fof(f517,plain,
( identity = sF6
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f133,f300]) ).
fof(f514,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl12_1
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f301,f92]) ).
fof(f301,plain,
( multiply(sk_c2,identity) = sF1
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f42,f300]) ).
fof(f629,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl12_7 ),
inference(forward_demodulation,[],[f47,f119]) ).
fof(f620,plain,
( spl12_19
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f617,f122,f211]) ).
fof(f211,plain,
( spl12_19
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f617,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f61,f124]) ).
fof(f614,plain,
( spl12_28
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f479,f112,f451]) ).
fof(f479,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl12_6 ),
inference(backward_demodulation,[],[f45,f114]) ).
fof(f586,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f585]) ).
fof(f585,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f584,f533]) ).
fof(f533,plain,
( identity = inverse(identity)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(forward_demodulation,[],[f522,f523]) ).
fof(f522,plain,
( identity = inverse(sk_c2)
| ~ spl12_5
| ~ spl12_10
| ~ spl12_12 ),
inference(backward_demodulation,[],[f50,f517]) ).
fof(f584,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f580,f533]) ).
fof(f580,plain,
( identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f578]) ).
fof(f578,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f553,f2]) ).
fof(f553,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(backward_demodulation,[],[f508,f541]) ).
fof(f541,plain,
( identity = sk_c7
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f537,f492]) ).
fof(f492,plain,
( identity = multiply(sk_c1,sk_c1)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f329,f481]) ).
fof(f481,plain,
( sk_c1 = sk_c9
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f333,f480]) ).
fof(f480,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f476,f328]) ).
fof(f328,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f187,f327]) ).
fof(f327,plain,
( sk_c9 = sk_c4
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f326,f317]) ).
fof(f317,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f279,f300]) ).
fof(f279,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl12_2
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f191,f275]) ).
fof(f191,plain,
( sk_c9 = multiply(sk_c6,sk_c8)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f48,f96]) ).
fof(f333,plain,
( sk_c9 = multiply(sk_c9,identity)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f317,f327]) ).
fof(f329,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f193,f327]) ).
fof(f537,plain,
( sk_c7 = multiply(sk_c1,sk_c1)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f503,f535]) ).
fof(f535,plain,
( sk_c1 = sF9
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f124,f481]) ).
fof(f503,plain,
( sk_c7 = multiply(sF9,sk_c1)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f283,f502]) ).
fof(f502,plain,
( sk_c1 = sF4
| ~ spl12_2
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f119,f481]) ).
fof(f508,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f507,f300]) ).
fof(f507,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f164,f300]) ).
fof(f543,plain,
( ~ spl12_2
| spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f542]) ).
fof(f542,plain,
( $false
| ~ spl12_2
| spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f541,f512]) ).
fof(f512,plain,
( identity != sk_c7
| spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f104,f511]) ).
fof(f511,plain,
( identity = sF8
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f510,f1]) ).
fof(f510,plain,
( multiply(identity,identity) = sF8
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f509,f324]) ).
fof(f324,plain,
( identity = sk_c5
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f312,f2]) ).
fof(f312,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f261,f300]) ).
fof(f261,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl12_9 ),
inference(superposition,[],[f234,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl12_9 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f44,f129]) ).
fof(f129,plain,
( sk_c8 = sF2
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f127,plain,
( spl12_9
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f44,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f509,plain,
( multiply(sk_c5,identity) = sF8
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f54,f300]) ).
fof(f54,plain,
multiply(sk_c5,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f104,plain,
( sk_c7 != sF8
| spl12_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl12_4
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f472,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f471]) ).
fof(f471,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16 ),
inference(subsumption_resolution,[],[f469,f328]) ).
fof(f469,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16 ),
inference(trivial_inequality_removal,[],[f466]) ).
fof(f466,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_16 ),
inference(superposition,[],[f462,f333]) ).
fof(f462,plain,
( ! [X8] :
( sk_c9 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_16 ),
inference(forward_demodulation,[],[f170,f300]) ).
fof(f461,plain,
( ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f460,plain,
( $false
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f459,f328]) ).
fof(f459,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl12_2
| ~ spl12_5
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f446,f328]) ).
fof(f446,plain,
( sk_c9 != inverse(inverse(sk_c9))
| ~ spl12_5
| ~ spl12_12
| ~ spl12_15 ),
inference(trivial_inequality_removal,[],[f443]) ).
fof(f443,plain,
( identity != identity
| sk_c9 != inverse(inverse(sk_c9))
| ~ spl12_5
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f436,f2]) ).
fof(f436,plain,
( ! [X3] :
( identity != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f167,f300]) ).
fof(f435,plain,
( ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f434,plain,
( $false
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f411,f337]) ).
fof(f337,plain,
( identity = inverse(identity)
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f305,f324]) ).
fof(f305,plain,
( identity = inverse(sk_c5)
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(backward_demodulation,[],[f189,f300]) ).
fof(f411,plain,
( identity != inverse(identity)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f404,f1]) ).
fof(f404,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f403,f351]) ).
fof(f351,plain,
( identity = sk_c7
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f350,f1]) ).
fof(f350,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12 ),
inference(forward_demodulation,[],[f304,f324]) ).
fof(f304,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl12_4
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f186,f300]) ).
fof(f186,plain,
( multiply(sk_c5,sk_c8) = sk_c7
| ~ spl12_4 ),
inference(backward_demodulation,[],[f54,f105]) ).
fof(f105,plain,
( sk_c7 = sF8
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f403,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f402,f300]) ).
fof(f402,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| identity != inverse(X4) )
| ~ spl12_5
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f164,f300]) ).
fof(f392,plain,
( ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f390,f328]) ).
fof(f390,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl12_2
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(superposition,[],[f354,f333]) ).
fof(f354,plain,
( ! [X5] :
( sk_c9 != multiply(X5,identity)
| sk_c9 != inverse(X5) )
| ~ spl12_4
| ~ spl12_5
| ~ spl12_9
| ~ spl12_12
| ~ spl12_13 ),
inference(backward_demodulation,[],[f161,f351]) ).
fof(f161,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl12_13
<=> ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f214,plain,
( ~ spl12_7
| ~ spl12_19
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f200,f160,f211,f117]) ).
fof(f200,plain,
( sk_c9 != inverse(sk_c3)
| sk_c9 != sF4
| ~ spl12_13 ),
inference(superposition,[],[f161,f47]) ).
fof(f185,plain,
( spl12_7
| spl12_9 ),
inference(avatar_split_clause,[],[f86,f127,f117]) ).
fof(f86,plain,
( sk_c8 = sF2
| sk_c9 = sF4 ),
inference(definition_folding,[],[f37,f44,f47]) ).
fof(f37,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f184,plain,
( spl12_12
| spl12_8 ),
inference(avatar_split_clause,[],[f82,f122,f148]) ).
fof(f82,plain,
( sk_c9 = sF9
| sk_c9 = sF11 ),
inference(definition_folding,[],[f29,f61,f65]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f183,plain,
( spl12_4
| spl12_6 ),
inference(avatar_split_clause,[],[f55,f112,f103]) ).
fof(f55,plain,
( sk_c9 = sF3
| sk_c7 = sF8 ),
inference(definition_folding,[],[f12,f45,f54]) ).
fof(f12,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f182,plain,
( spl12_2
| spl12_10 ),
inference(avatar_split_clause,[],[f69,f131,f94]) ).
fof(f69,plain,
( sk_c8 = sF6
| sk_c9 = sF5 ),
inference(definition_folding,[],[f27,f48,f50]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f180,plain,
( spl12_6
| spl12_11 ),
inference(avatar_split_clause,[],[f60,f136,f112]) ).
fof(f60,plain,
( sk_c9 = sF0
| sk_c9 = sF3 ),
inference(definition_folding,[],[f14,f45,f41]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f179,plain,
( spl12_5
| spl12_10 ),
inference(avatar_split_clause,[],[f70,f131,f108]) ).
fof(f70,plain,
( sk_c8 = sF6
| sk_c8 = sF7 ),
inference(definition_folding,[],[f22,f52,f50]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f178,plain,
( spl12_11
| spl12_10 ),
inference(avatar_split_clause,[],[f76,f131,f136]) ).
fof(f76,plain,
( sk_c8 = sF6
| sk_c9 = sF0 ),
inference(definition_folding,[],[f26,f50,f41]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f177,plain,
( spl12_5
| spl12_8 ),
inference(avatar_split_clause,[],[f72,f122,f108]) ).
fof(f72,plain,
( sk_c9 = sF9
| sk_c8 = sF7 ),
inference(definition_folding,[],[f28,f61,f52]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f175,plain,
( spl12_12
| spl12_7 ),
inference(avatar_split_clause,[],[f84,f117,f148]) ).
fof(f84,plain,
( sk_c9 = sF4
| sk_c9 = sF11 ),
inference(definition_folding,[],[f35,f65,f47]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f174,plain,
( spl12_3
| spl12_11 ),
inference(avatar_split_clause,[],[f81,f136,f99]) ).
fof(f81,plain,
( sk_c9 = sF0
| sk_c8 = sF10 ),
inference(definition_folding,[],[f8,f41,f63]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f173,plain,
( spl12_7
| spl12_5 ),
inference(avatar_split_clause,[],[f56,f108,f117]) ).
fof(f56,plain,
( sk_c8 = sF7
| sk_c9 = sF4 ),
inference(definition_folding,[],[f34,f52,f47]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f172,plain,
( spl12_7
| spl12_2 ),
inference(avatar_split_clause,[],[f49,f94,f117]) ).
fof(f49,plain,
( sk_c9 = sF5
| sk_c9 = sF4 ),
inference(definition_folding,[],[f39,f48,f47]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f171,plain,
( spl12_13
| spl12_14
| spl12_15
| spl12_16
| spl12_15
| spl12_14 ),
inference(avatar_split_clause,[],[f40,f163,f166,f169,f166,f163,f160]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c8 != multiply(X3,sk_c9)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != inverse(X4)
| sk_c9 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f158,plain,
( spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f68,f148,f112]) ).
fof(f68,plain,
( sk_c9 = sF11
| sk_c9 = sF3 ),
inference(definition_folding,[],[f11,f45,f65]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f157,plain,
( spl12_9
| spl12_8 ),
inference(avatar_split_clause,[],[f79,f122,f127]) ).
fof(f79,plain,
( sk_c9 = sF9
| sk_c8 = sF2 ),
inference(definition_folding,[],[f31,f61,f44]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f156,plain,
( spl12_11
| spl12_1 ),
inference(avatar_split_clause,[],[f43,f90,f136]) ).
fof(f43,plain,
( sk_c7 = sF1
| sk_c9 = sF0 ),
inference(definition_folding,[],[f20,f42,f41]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f155,plain,
( spl12_5
| spl12_3 ),
inference(avatar_split_clause,[],[f67,f99,f108]) ).
fof(f67,plain,
( sk_c8 = sF10
| sk_c8 = sF7 ),
inference(definition_folding,[],[f4,f63,f52]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f154,plain,
( spl12_2
| spl12_8 ),
inference(avatar_split_clause,[],[f80,f122,f94]) ).
fof(f80,plain,
( sk_c9 = sF9
| sk_c9 = sF5 ),
inference(definition_folding,[],[f33,f61,f48]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f153,plain,
( spl12_3
| spl12_12 ),
inference(avatar_split_clause,[],[f87,f148,f99]) ).
fof(f87,plain,
( sk_c9 = sF11
| sk_c8 = sF10 ),
inference(definition_folding,[],[f5,f65,f63]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f152,plain,
( spl12_1
| spl12_12 ),
inference(avatar_split_clause,[],[f74,f148,f90]) ).
fof(f74,plain,
( sk_c9 = sF11
| sk_c7 = sF1 ),
inference(definition_folding,[],[f17,f42,f65]) ).
fof(f17,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f151,plain,
( spl12_10
| spl12_12 ),
inference(avatar_split_clause,[],[f66,f148,f131]) ).
fof(f66,plain,
( sk_c9 = sF11
| sk_c8 = sF6 ),
inference(definition_folding,[],[f23,f50,f65]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f146,plain,
( spl12_6
| spl12_2 ),
inference(avatar_split_clause,[],[f58,f94,f112]) ).
fof(f58,plain,
( sk_c9 = sF5
| sk_c9 = sF3 ),
inference(definition_folding,[],[f15,f45,f48]) ).
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(f145,plain,
( spl12_9
| spl12_3 ),
inference(avatar_split_clause,[],[f83,f99,f127]) ).
fof(f83,plain,
( sk_c8 = sF10
| sk_c8 = sF2 ),
inference(definition_folding,[],[f7,f44,f63]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f144,plain,
( spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f88,f108,f90]) ).
fof(f88,plain,
( sk_c8 = sF7
| sk_c7 = sF1 ),
inference(definition_folding,[],[f16,f42,f52]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f143,plain,
( spl12_7
| spl12_11 ),
inference(avatar_split_clause,[],[f57,f136,f117]) ).
fof(f57,plain,
( sk_c9 = sF0
| sk_c9 = sF4 ),
inference(definition_folding,[],[f38,f41,f47]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f142,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f73,f94,f99]) ).
fof(f73,plain,
( sk_c9 = sF5
| sk_c8 = sF10 ),
inference(definition_folding,[],[f9,f63,f48]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f140,plain,
( spl12_9
| spl12_6 ),
inference(avatar_split_clause,[],[f46,f112,f127]) ).
fof(f46,plain,
( sk_c9 = sF3
| sk_c8 = sF2 ),
inference(definition_folding,[],[f13,f45,f44]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f139,plain,
( spl12_11
| spl12_8 ),
inference(avatar_split_clause,[],[f78,f122,f136]) ).
fof(f78,plain,
( sk_c9 = sF9
| sk_c9 = sF0 ),
inference(definition_folding,[],[f32,f41,f61]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f134,plain,
( spl12_9
| spl12_10 ),
inference(avatar_split_clause,[],[f51,f131,f127]) ).
fof(f51,plain,
( sk_c8 = sF6
| sk_c8 = sF2 ),
inference(definition_folding,[],[f25,f50,f44]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f125,plain,
( spl12_4
| spl12_8 ),
inference(avatar_split_clause,[],[f62,f122,f103]) ).
fof(f62,plain,
( sk_c9 = sF9
| sk_c7 = sF8 ),
inference(definition_folding,[],[f30,f61,f54]) ).
fof(f30,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f120,plain,
( spl12_7
| spl12_4 ),
inference(avatar_split_clause,[],[f71,f103,f117]) ).
fof(f71,plain,
( sk_c7 = sF8
| sk_c9 = sF4 ),
inference(definition_folding,[],[f36,f47,f54]) ).
fof(f36,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f115,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f53,f112,f108]) ).
fof(f53,plain,
( sk_c9 = sF3
| sk_c8 = sF7 ),
inference(definition_folding,[],[f10,f45,f52]) ).
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) ).
fof(f106,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f64,f103,f99]) ).
fof(f64,plain,
( sk_c7 = sF8
| sk_c8 = sF10 ),
inference(definition_folding,[],[f6,f63,f54]) ).
fof(f6,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f97,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f85,f94,f90]) ).
fof(f85,plain,
( sk_c9 = sF5
| sk_c7 = sF1 ),
inference(definition_folding,[],[f21,f42,f48]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP247-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:43:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 % (4493)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)
% 0.18/0.46 % (4513)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)
% 0.18/0.47 % (4505)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)
% 0.18/0.47 % (4501)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)
% 0.18/0.47 % (4513)Refutation not found, incomplete strategy% (4513)------------------------------
% 0.18/0.47 % (4513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48 % (4513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48 % (4513)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.48
% 0.18/0.48 % (4513)Memory used [KB]: 5884
% 0.18/0.48 % (4487)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.49 % (4492)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49 % (4503)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)
% 0.18/0.49 % (4513)Time elapsed: 0.108 s
% 0.18/0.49 % (4513)Instructions burned: 4 (million)
% 0.18/0.49 % (4513)------------------------------
% 0.18/0.49 % (4513)------------------------------
% 0.18/0.49 % (4498)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)
% 0.18/0.50 % (4495)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)
% 0.18/0.50 % (4494)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)
% 0.18/0.50 % (4497)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)
% 0.18/0.50 % (4491)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)
% 0.18/0.50 % (4496)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)
% 0.18/0.50 % (4515)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)
% 0.18/0.50 % (4500)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)
% 0.18/0.50 % (4500)Instruction limit reached!
% 0.18/0.50 % (4500)------------------------------
% 0.18/0.50 % (4500)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (4500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (4500)Termination reason: Unknown
% 0.18/0.50 % (4500)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (4500)Memory used [KB]: 5884
% 0.18/0.50 % (4500)Time elapsed: 0.003 s
% 0.18/0.50 % (4500)Instructions burned: 4 (million)
% 0.18/0.50 % (4500)------------------------------
% 0.18/0.50 % (4500)------------------------------
% 0.18/0.50 % (4490)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)
% 0.18/0.50 % (4503)Instruction limit reached!
% 0.18/0.50 % (4503)------------------------------
% 0.18/0.50 % (4503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (4503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (4503)Termination reason: Unknown
% 0.18/0.50 % (4503)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (4503)Memory used [KB]: 5884
% 0.18/0.50 % (4503)Time elapsed: 0.004 s
% 0.18/0.50 % (4503)Instructions burned: 3 (million)
% 0.18/0.50 % (4503)------------------------------
% 0.18/0.50 % (4503)------------------------------
% 0.18/0.51 % (4495)Instruction limit reached!
% 0.18/0.51 % (4495)------------------------------
% 0.18/0.51 % (4495)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4495)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4495)Termination reason: Unknown
% 0.18/0.51 % (4495)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (4495)Memory used [KB]: 5884
% 0.18/0.51 % (4495)Time elapsed: 0.004 s
% 0.18/0.51 % (4495)Instructions burned: 3 (million)
% 0.18/0.51 % (4495)------------------------------
% 0.18/0.51 % (4495)------------------------------
% 0.18/0.51 % (4501)Instruction limit reached!
% 0.18/0.51 % (4501)------------------------------
% 0.18/0.51 % (4501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4501)Termination reason: Unknown
% 0.18/0.51 % (4501)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (4501)Memory used [KB]: 1663
% 0.18/0.51 % (4501)Time elapsed: 0.128 s
% 0.18/0.51 % (4501)Instructions burned: 29 (million)
% 0.18/0.51 % (4501)------------------------------
% 0.18/0.51 % (4501)------------------------------
% 0.18/0.51 % (4512)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)
% 0.18/0.51 % (4508)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)
% 0.18/0.51 % (4509)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)
% 0.18/0.51 % (4510)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)
% 0.18/0.51 % (4510)Refutation not found, incomplete strategy% (4510)------------------------------
% 0.18/0.51 % (4510)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4510)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4510)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51
% 0.18/0.51 % (4510)Memory used [KB]: 5884
% 0.18/0.51 % (4510)Time elapsed: 0.088 s
% 0.18/0.51 % (4510)Instructions burned: 3 (million)
% 0.18/0.51 % (4510)------------------------------
% 0.18/0.51 % (4510)------------------------------
% 0.18/0.51 % (4493)Instruction limit reached!
% 0.18/0.51 % (4493)------------------------------
% 0.18/0.51 % (4493)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4493)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4493)Termination reason: Unknown
% 0.18/0.51 % (4493)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (4493)Memory used [KB]: 1535
% 0.18/0.51 % (4493)Time elapsed: 0.126 s
% 0.18/0.51 % (4493)Instructions burned: 50 (million)
% 0.18/0.51 % (4493)------------------------------
% 0.18/0.51 % (4493)------------------------------
% 0.18/0.51 % (4505)Instruction limit reached!
% 0.18/0.51 % (4505)------------------------------
% 0.18/0.51 % (4505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4505)Termination reason: Unknown
% 0.18/0.51 % (4505)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (4505)Memory used [KB]: 10746
% 0.18/0.51 % (4505)Time elapsed: 0.122 s
% 0.18/0.51 % (4505)Instructions burned: 28 (million)
% 0.18/0.51 % (4505)------------------------------
% 0.18/0.51 % (4505)------------------------------
% 0.18/0.51 % (4497)Instruction limit reached!
% 0.18/0.51 % (4497)------------------------------
% 0.18/0.51 % (4497)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4489)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)
% 0.18/0.51 % (4502)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)
% 0.18/0.51 % (4489)Instruction limit reached!
% 0.18/0.51 % (4489)------------------------------
% 0.18/0.51 % (4489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (4497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (4497)Termination reason: Unknown
% 0.18/0.51 % (4497)Termination phase: Saturation
% 0.18/0.51
% 0.18/0.51 % (4497)Memory used [KB]: 6012
% 0.18/0.51 % (4497)Time elapsed: 0.127 s
% 0.18/0.51 % (4497)Instructions burned: 7 (million)
% 0.18/0.51 % (4497)------------------------------
% 0.18/0.51 % (4497)------------------------------
% 0.18/0.52 % (4502)Instruction limit reached!
% 0.18/0.52 % (4502)------------------------------
% 0.18/0.52 % (4502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (4502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (4502)Termination reason: Unknown
% 0.18/0.52 % (4502)Termination phase: Finite model building preprocessing
% 0.18/0.52
% 0.18/0.52 % (4502)Memory used [KB]: 6012
% 0.18/0.52 % (4502)Time elapsed: 0.003 s
% 0.18/0.52 % (4502)Instructions burned: 6 (million)
% 0.18/0.52 % (4502)------------------------------
% 0.18/0.52 % (4502)------------------------------
% 0.18/0.52 % (4489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (4489)Termination reason: Unknown
% 0.18/0.52 % (4489)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (4489)Memory used [KB]: 5884
% 0.18/0.52 % (4489)Time elapsed: 0.004 s
% 0.18/0.52 % (4489)Instructions burned: 5 (million)
% 0.18/0.52 % (4489)------------------------------
% 0.18/0.52 % (4489)------------------------------
% 0.18/0.52 % (4488)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)
% 0.18/0.52 % (4507)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)
% 0.18/0.52 % (4492)Instruction limit reached!
% 0.18/0.52 % (4492)------------------------------
% 0.18/0.52 % (4492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (4492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (4492)Termination reason: Unknown
% 0.18/0.52 % (4492)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (4492)Memory used [KB]: 6268
% 0.18/0.52 % (4492)Time elapsed: 0.126 s
% 0.18/0.52 % (4492)Instructions burned: 25 (million)
% 0.18/0.52 % (4492)------------------------------
% 0.18/0.52 % (4492)------------------------------
% 0.18/0.52 % (4499)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)
% 0.18/0.52 % (4516)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)
% 0.18/0.52 % (4487)First to succeed.
% 0.18/0.53 % (4499)Instruction limit reached!
% 0.18/0.53 % (4499)------------------------------
% 0.18/0.53 % (4499)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (4514)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)
% 0.18/0.53 % (4499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (4499)Termination reason: Unknown
% 0.18/0.53 % (4499)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (4499)Memory used [KB]: 6012
% 0.18/0.53 % (4499)Time elapsed: 0.146 s
% 0.18/0.53 % (4499)Instructions burned: 5 (million)
% 0.18/0.53 % (4499)------------------------------
% 0.18/0.53 % (4499)------------------------------
% 0.18/0.53 % (4504)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.53 % (4487)Refutation found. Thanks to Tanya!
% 0.18/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53 % (4487)------------------------------
% 0.18/0.53 % (4487)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (4487)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (4487)Termination reason: Refutation
% 0.18/0.53
% 0.18/0.53 % (4487)Memory used [KB]: 6396
% 0.18/0.53 % (4487)Time elapsed: 0.129 s
% 0.18/0.53 % (4487)Instructions burned: 33 (million)
% 0.18/0.53 % (4487)------------------------------
% 0.18/0.53 % (4487)------------------------------
% 0.18/0.53 % (4486)Success in time 0.184 s
%------------------------------------------------------------------------------