TSTP Solution File: GRP292-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP292-1 : 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 : n026.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 16:15:13 EDT 2022
% Result : Unsatisfiable 1.96s 0.61s
% Output : Refutation 1.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 42
% Syntax : Number of formulae : 209 ( 27 unt; 0 def)
% Number of atoms : 633 ( 245 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 827 ( 403 ~; 410 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f993,plain,
$false,
inference(avatar_sat_refutation,[],[f73,f78,f83,f88,f93,f100,f101,f102,f112,f113,f114,f116,f117,f119,f120,f121,f238,f619,f699,f711,f723,f779,f836,f859,f955,f967,f969]) ).
fof(f969,plain,
( ~ spl9_1
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| spl9_7
| ~ spl9_9 ),
inference(avatar_contradiction_clause,[],[f968]) ).
fof(f968,plain,
( $false
| ~ spl9_1
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| spl9_7
| ~ spl9_9 ),
inference(subsumption_resolution,[],[f965,f86]) ).
fof(f86,plain,
( sk_c7 != sF3
| spl9_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl9_7
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f965,plain,
( sk_c7 = sF3
| ~ spl9_1
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6
| ~ spl9_9 ),
inference(backward_demodulation,[],[f956,f958]) ).
fof(f958,plain,
( sk_c7 = sk_c5
| ~ spl9_4
| ~ spl9_6
| ~ spl9_9 ),
inference(forward_demodulation,[],[f957,f942]) ).
fof(f942,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl9_6
| ~ spl9_9 ),
inference(backward_demodulation,[],[f646,f97]) ).
fof(f97,plain,
( sk_c6 = sF0
| ~ spl9_9 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl9_9
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_9])]) ).
fof(f646,plain,
( sk_c7 = multiply(sk_c7,sF0)
| ~ spl9_6 ),
inference(backward_demodulation,[],[f167,f82]) ).
fof(f82,plain,
( sk_c7 = sF6
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl9_6
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f167,plain,
sk_c7 = multiply(sF6,sF0),
inference(forward_demodulation,[],[f159,f35]) ).
fof(f35,plain,
inverse(sk_c1) = sF6,
introduced(function_definition,[]) ).
fof(f159,plain,
sk_c7 = multiply(inverse(sk_c1),sF0),
inference(superposition,[],[f138,f26]) ).
fof(f26,plain,
multiply(sk_c1,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f138,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f131,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f131,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f957,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl9_4 ),
inference(forward_demodulation,[],[f32,f72]) ).
fof(f72,plain,
( sk_c5 = sF4
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl9_4
<=> sk_c5 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f32,plain,
multiply(sk_c7,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f956,plain,
( sk_c5 = sF3
| ~ spl9_1
| ~ spl9_5 ),
inference(backward_demodulation,[],[f30,f794]) ).
fof(f794,plain,
( sk_c5 = multiply(sk_c5,sk_c6)
| ~ spl9_1
| ~ spl9_5 ),
inference(backward_demodulation,[],[f792,f59]) ).
fof(f59,plain,
( sk_c5 = sF2
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl9_1
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f792,plain,
( sk_c5 = multiply(sF2,sk_c6)
| ~ spl9_5 ),
inference(forward_demodulation,[],[f166,f77]) ).
fof(f77,plain,
( sk_c6 = sF7
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl9_5
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f166,plain,
sk_c5 = multiply(sF2,sF7),
inference(forward_demodulation,[],[f160,f29]) ).
fof(f29,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f160,plain,
sk_c5 = multiply(inverse(sk_c2),sF7),
inference(superposition,[],[f138,f40]) ).
fof(f40,plain,
multiply(sk_c2,sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f30,plain,
multiply(sk_c5,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f967,plain,
( spl9_12
| ~ spl9_4
| ~ spl9_6
| ~ spl9_9
| ~ spl9_10 ),
inference(avatar_split_clause,[],[f966,f104,f95,f80,f70,f110]) ).
fof(f110,plain,
( spl9_12
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_12])]) ).
fof(f104,plain,
( spl9_10
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_10])]) ).
fof(f966,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl9_4
| ~ spl9_6
| ~ spl9_9
| ~ spl9_10 ),
inference(forward_demodulation,[],[f961,f958]) ).
fof(f961,plain,
( ! [X4] :
( sk_c5 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl9_4
| ~ spl9_6
| ~ spl9_9
| ~ spl9_10 ),
inference(backward_demodulation,[],[f105,f958]) ).
fof(f105,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) )
| ~ spl9_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f955,plain,
( ~ spl9_6
| ~ spl9_9
| spl9_24 ),
inference(avatar_contradiction_clause,[],[f954]) ).
fof(f954,plain,
( $false
| ~ spl9_6
| ~ spl9_9
| spl9_24 ),
inference(subsumption_resolution,[],[f953,f788]) ).
fof(f788,plain,
( identity != sk_c6
| spl9_24 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl9_24
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_24])]) ).
fof(f953,plain,
( identity = sk_c6
| ~ spl9_6
| ~ spl9_9 ),
inference(forward_demodulation,[],[f952,f772]) ).
fof(f772,plain,
( identity = multiply(sk_c1,sk_c7)
| ~ spl9_6 ),
inference(superposition,[],[f2,f648]) ).
fof(f648,plain,
( sk_c1 = inverse(sk_c7)
| ~ spl9_6 ),
inference(backward_demodulation,[],[f553,f82]) ).
fof(f553,plain,
sk_c1 = inverse(sF6),
inference(superposition,[],[f513,f162]) ).
fof(f162,plain,
sk_c1 = multiply(inverse(sF6),identity),
inference(superposition,[],[f138,f128]) ).
fof(f128,plain,
identity = multiply(sF6,sk_c1),
inference(superposition,[],[f2,f35]) ).
fof(f513,plain,
! [X2] : multiply(X2,identity) = X2,
inference(superposition,[],[f153,f152]) ).
fof(f152,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f138,f2]) ).
fof(f153,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f138,f138]) ).
fof(f952,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl9_9 ),
inference(forward_demodulation,[],[f26,f97]) ).
fof(f859,plain,
( ~ spl9_12
| ~ spl9_24 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| ~ spl9_12
| ~ spl9_24 ),
inference(subsumption_resolution,[],[f854,f559]) ).
fof(f559,plain,
! [X5] : inverse(inverse(X5)) = X5,
inference(superposition,[],[f152,f513]) ).
fof(f854,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_12
| ~ spl9_24 ),
inference(trivial_inequality_removal,[],[f851]) ).
fof(f851,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_12
| ~ spl9_24 ),
inference(superposition,[],[f837,f2]) ).
fof(f837,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl9_12
| ~ spl9_24 ),
inference(forward_demodulation,[],[f111,f787]) ).
fof(f787,plain,
( identity = sk_c6
| ~ spl9_24 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f111,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl9_12 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f836,plain,
( spl9_16
| ~ spl9_5
| ~ spl9_24 ),
inference(avatar_split_clause,[],[f828,f786,f75,f291]) ).
fof(f291,plain,
( spl9_16
<=> identity = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_16])]) ).
fof(f828,plain,
( identity = sF7
| ~ spl9_5
| ~ spl9_24 ),
inference(backward_demodulation,[],[f77,f787]) ).
fof(f779,plain,
( ~ spl9_4
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(avatar_contradiction_clause,[],[f778]) ).
fof(f778,plain,
( $false
| ~ spl9_4
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(trivial_inequality_removal,[],[f777]) ).
fof(f777,plain,
( identity != identity
| ~ spl9_4
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(superposition,[],[f746,f2]) ).
fof(f746,plain,
( ! [X5] : identity != multiply(inverse(X5),sk_c7)
| ~ spl9_4
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(forward_demodulation,[],[f745,f726]) ).
fof(f726,plain,
( identity = sk_c6
| ~ spl9_5
| ~ spl9_16 ),
inference(forward_demodulation,[],[f77,f292]) ).
fof(f292,plain,
( identity = sF7
| ~ spl9_16 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f745,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c7)
| ~ spl9_4
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(forward_demodulation,[],[f744,f734]) ).
fof(f734,plain,
( sk_c7 = sk_c5
| ~ spl9_4
| ~ spl9_5
| ~ spl9_16 ),
inference(forward_demodulation,[],[f72,f730]) ).
fof(f730,plain,
( sk_c7 = sF4
| ~ spl9_5
| ~ spl9_16 ),
inference(forward_demodulation,[],[f729,f513]) ).
fof(f729,plain,
( sF4 = multiply(sk_c7,identity)
| ~ spl9_5
| ~ spl9_16 ),
inference(forward_demodulation,[],[f32,f726]) ).
fof(f744,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c5)
| ~ spl9_5
| ~ spl9_11
| ~ spl9_16 ),
inference(subsumption_resolution,[],[f712,f726]) ).
fof(f712,plain,
( ! [X5] :
( identity != sk_c6
| sk_c6 != multiply(inverse(X5),sk_c5) )
| ~ spl9_11 ),
inference(forward_demodulation,[],[f108,f523]) ).
fof(f523,plain,
! [X1] : identity = multiply(X1,inverse(X1)),
inference(superposition,[],[f2,f153]) ).
fof(f108,plain,
( ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c5) )
| ~ spl9_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f107,plain,
( spl9_11
<=> ! [X5] :
( sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(inverse(X5),sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_11])]) ).
fof(f723,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_11 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_11 ),
inference(trivial_inequality_removal,[],[f721]) ).
fof(f721,plain,
( identity != identity
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_11 ),
inference(superposition,[],[f715,f2]) ).
fof(f715,plain,
( ! [X5] : identity != multiply(inverse(X5),sk_c7)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_11 ),
inference(forward_demodulation,[],[f714,f170]) ).
fof(f170,plain,
( identity = sk_c6
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f168,f2]) ).
fof(f168,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c4)
| ~ spl9_2
| ~ spl9_3 ),
inference(superposition,[],[f138,f165]) ).
fof(f165,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f156,f122]) ).
fof(f122,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl9_3 ),
inference(backward_demodulation,[],[f27,f68]) ).
fof(f68,plain,
( sk_c4 = sF1
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl9_3
<=> sk_c4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f27,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f156,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c6)
| ~ spl9_2 ),
inference(superposition,[],[f138,f123]) ).
fof(f123,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| ~ spl9_2 ),
inference(backward_demodulation,[],[f42,f63]) ).
fof(f63,plain,
( sk_c6 = sF8
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl9_2
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f42,plain,
multiply(sk_c3,sk_c4) = sF8,
introduced(function_definition,[]) ).
fof(f714,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c7)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_11 ),
inference(forward_demodulation,[],[f713,f634]) ).
fof(f634,plain,
( sk_c7 = sk_c5
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4 ),
inference(forward_demodulation,[],[f72,f631]) ).
fof(f631,plain,
( sk_c7 = sF4
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_demodulation,[],[f171,f513]) ).
fof(f171,plain,
( sF4 = multiply(sk_c7,identity)
| ~ spl9_2
| ~ spl9_3 ),
inference(backward_demodulation,[],[f32,f170]) ).
fof(f713,plain,
( ! [X5] : sk_c6 != multiply(inverse(X5),sk_c5)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_11 ),
inference(subsumption_resolution,[],[f712,f170]) ).
fof(f711,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_12 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_12 ),
inference(subsumption_resolution,[],[f706,f559]) ).
fof(f706,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_12 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != identity
| ~ spl9_2
| ~ spl9_3
| ~ spl9_12 ),
inference(superposition,[],[f700,f2]) ).
fof(f700,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_12 ),
inference(forward_demodulation,[],[f111,f170]) ).
fof(f699,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f698,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(subsumption_resolution,[],[f694,f559]) ).
fof(f694,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f691]) ).
fof(f691,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != identity
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(superposition,[],[f639,f2]) ).
fof(f639,plain,
( ! [X4] :
( identity != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(forward_demodulation,[],[f636,f634]) ).
fof(f636,plain,
( ! [X4] :
( identity != multiply(X4,sk_c5)
| sk_c7 != inverse(X4) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_4
| ~ spl9_10 ),
inference(backward_demodulation,[],[f633,f634]) ).
fof(f633,plain,
( ! [X4] :
( identity != multiply(X4,sk_c5)
| sk_c5 != inverse(X4) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_10 ),
inference(forward_demodulation,[],[f105,f170]) ).
fof(f619,plain,
( ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(subsumption_resolution,[],[f617,f284]) ).
fof(f284,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(forward_demodulation,[],[f274,f231]) ).
fof(f231,plain,
( sk_c4 = inverse(sk_c7)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f189,f224]) ).
fof(f224,plain,
( sk_c7 = sk_c5
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f183,f222]) ).
fof(f222,plain,
( sk_c7 = multiply(inverse(sk_c4),identity)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(superposition,[],[f138,f197]) ).
fof(f197,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(forward_demodulation,[],[f182,f189]) ).
fof(f182,plain,
( identity = multiply(inverse(sk_c5),sk_c7)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7 ),
inference(backward_demodulation,[],[f155,f170]) ).
fof(f155,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl9_7 ),
inference(superposition,[],[f138,f124]) ).
fof(f124,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl9_7 ),
inference(backward_demodulation,[],[f30,f87]) ).
fof(f87,plain,
( sk_c7 = sF3
| ~ spl9_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f183,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_8 ),
inference(backward_demodulation,[],[f157,f170]) ).
fof(f157,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl9_8 ),
inference(superposition,[],[f138,f125]) ).
fof(f125,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl9_8 ),
inference(backward_demodulation,[],[f33,f92]) ).
fof(f92,plain,
( sk_c6 = sF5
| ~ spl9_8 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl9_8
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_8])]) ).
fof(f33,plain,
multiply(sk_c4,sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f189,plain,
( sk_c4 = inverse(sk_c5)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_8 ),
inference(backward_demodulation,[],[f122,f186]) ).
fof(f186,plain,
( sk_c5 = sk_c3
| ~ spl9_2
| ~ spl9_3
| ~ spl9_8 ),
inference(backward_demodulation,[],[f158,f183]) ).
fof(f158,plain,
( sk_c3 = multiply(inverse(sk_c4),identity)
| ~ spl9_3 ),
inference(superposition,[],[f138,f126]) ).
fof(f126,plain,
( identity = multiply(sk_c4,sk_c3)
| ~ spl9_3 ),
inference(superposition,[],[f2,f122]) ).
fof(f274,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(superposition,[],[f242,f2]) ).
fof(f242,plain,
( ! [X4] :
( identity != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(forward_demodulation,[],[f241,f170]) ).
fof(f241,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(forward_demodulation,[],[f240,f224]) ).
fof(f240,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8
| ~ spl9_10 ),
inference(forward_demodulation,[],[f105,f224]) ).
fof(f617,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(forward_demodulation,[],[f551,f228]) ).
fof(f228,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f175,f224]) ).
fof(f175,plain,
( sk_c7 = multiply(sk_c5,identity)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7 ),
inference(backward_demodulation,[],[f124,f170]) ).
fof(f551,plain,
( inverse(sk_c4) = multiply(sk_c7,identity)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(superposition,[],[f513,f312]) ).
fof(f312,plain,
( ! [X0] : multiply(inverse(sk_c4),X0) = multiply(sk_c7,X0)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(superposition,[],[f138,f193]) ).
fof(f193,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c7,X11)) = X11
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f185,f192]) ).
fof(f192,plain,
( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c5,X9)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c5,multiply(identity,X9))
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7 ),
inference(backward_demodulation,[],[f133,f170]) ).
fof(f133,plain,
( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c5,multiply(sk_c6,X9))
| ~ spl9_7 ),
inference(superposition,[],[f3,f124]) ).
fof(f185,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c5,X11)) = X11
| ~ spl9_2
| ~ spl9_3
| ~ spl9_8 ),
inference(forward_demodulation,[],[f180,f1]) ).
fof(f180,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c5,X11)) = multiply(identity,X11)
| ~ spl9_2
| ~ spl9_3
| ~ spl9_8 ),
inference(backward_demodulation,[],[f135,f170]) ).
fof(f135,plain,
( ! [X11] : multiply(sk_c4,multiply(sk_c5,X11)) = multiply(sk_c6,X11)
| ~ spl9_8 ),
inference(superposition,[],[f3,f125]) ).
fof(f238,plain,
( ~ spl9_2
| ~ spl9_3
| spl9_4
| ~ spl9_7
| ~ spl9_8 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl9_2
| ~ spl9_3
| spl9_4
| ~ spl9_7
| ~ spl9_8 ),
inference(subsumption_resolution,[],[f226,f234]) ).
fof(f234,plain,
( sk_c7 = sF4
| ~ spl9_2
| ~ spl9_3
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f171,f228]) ).
fof(f226,plain,
( sk_c7 != sF4
| ~ spl9_2
| ~ spl9_3
| spl9_4
| ~ spl9_7
| ~ spl9_8 ),
inference(backward_demodulation,[],[f71,f224]) ).
fof(f71,plain,
( sk_c5 != sF4
| spl9_4 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f121,plain,
( spl9_5
| spl9_7 ),
inference(avatar_split_clause,[],[f44,f85,f75]) ).
fof(f44,plain,
( sk_c7 = sF3
| sk_c6 = sF7 ),
inference(definition_folding,[],[f16,f40,f30]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f120,plain,
( spl9_7
| spl9_1 ),
inference(avatar_split_clause,[],[f31,f57,f85]) ).
fof(f31,plain,
( sk_c5 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f20,f30,f29]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f119,plain,
( spl9_6
| spl9_8 ),
inference(avatar_split_clause,[],[f50,f90,f80]) ).
fof(f50,plain,
( sk_c6 = sF5
| sk_c7 = sF6 ),
inference(definition_folding,[],[f15,f33,f35]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f117,plain,
( spl9_2
| spl9_4 ),
inference(avatar_split_clause,[],[f54,f70,f61]) ).
fof(f54,plain,
( sk_c5 = sF4
| sk_c6 = sF8 ),
inference(definition_folding,[],[f5,f32,f42]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f116,plain,
( spl9_6
| spl9_2 ),
inference(avatar_split_clause,[],[f48,f61,f80]) ).
fof(f48,plain,
( sk_c6 = sF8
| sk_c7 = sF6 ),
inference(definition_folding,[],[f13,f35,f42]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f114,plain,
( spl9_2
| spl9_9 ),
inference(avatar_split_clause,[],[f43,f95,f61]) ).
fof(f43,plain,
( sk_c6 = sF0
| sk_c6 = sF8 ),
inference(definition_folding,[],[f9,f26,f42]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f113,plain,
( spl9_9
| spl9_7 ),
inference(avatar_split_clause,[],[f52,f85,f95]) ).
fof(f52,plain,
( sk_c7 = sF3
| sk_c6 = sF0 ),
inference(definition_folding,[],[f8,f30,f26]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f112,plain,
( ~ spl9_7
| ~ spl9_4
| spl9_10
| spl9_11
| spl9_12 ),
inference(avatar_split_clause,[],[f37,f110,f107,f104,f70,f85]) ).
fof(f37,plain,
! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != inverse(X4)
| sk_c5 != sF4
| sk_c6 != multiply(inverse(X5),sk_c5)
| sk_c7 != sF3 ),
inference(definition_folding,[],[f25,f30,f32]) ).
fof(f25,plain,
! [X3,X4,X5] :
( sk_c5 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(inverse(X5),sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c6 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != inverse(X4)
| sk_c7 != inverse(X3)
| inverse(X5) != X6
| sk_c6 != multiply(X6,sk_c5)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != multiply(X5,X6)
| sk_c6 != multiply(X3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f102,plain,
( spl9_4
| spl9_7 ),
inference(avatar_split_clause,[],[f51,f85,f70]) ).
fof(f51,plain,
( sk_c7 = sF3
| sk_c5 = sF4 ),
inference(definition_folding,[],[f4,f30,f32]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f101,plain,
( spl9_5
| spl9_3 ),
inference(avatar_split_clause,[],[f47,f66,f75]) ).
fof(f47,plain,
( sk_c4 = sF1
| sk_c6 = sF7 ),
inference(definition_folding,[],[f18,f27,f40]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f100,plain,
( spl9_3
| spl9_9 ),
inference(avatar_split_clause,[],[f28,f95,f66]) ).
fof(f28,plain,
( sk_c6 = sF0
| sk_c4 = sF1 ),
inference(definition_folding,[],[f10,f27,f26]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f93,plain,
( spl9_8
| spl9_4 ),
inference(avatar_split_clause,[],[f34,f70,f90]) ).
fof(f34,plain,
( sk_c5 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f7,f33,f32]) ).
fof(f7,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f88,plain,
( spl9_6
| spl9_7 ),
inference(avatar_split_clause,[],[f36,f85,f80]) ).
fof(f36,plain,
( sk_c7 = sF3
| sk_c7 = sF6 ),
inference(definition_folding,[],[f12,f35,f30]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f83,plain,
( spl9_3
| spl9_6 ),
inference(avatar_split_clause,[],[f39,f80,f66]) ).
fof(f39,plain,
( sk_c7 = sF6
| sk_c4 = sF1 ),
inference(definition_folding,[],[f14,f35,f27]) ).
fof(f14,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f78,plain,
( spl9_2
| spl9_5 ),
inference(avatar_split_clause,[],[f53,f75,f61]) ).
fof(f53,plain,
( sk_c6 = sF7
| sk_c6 = sF8 ),
inference(definition_folding,[],[f17,f40,f42]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f73,plain,
( spl9_3
| spl9_4 ),
inference(avatar_split_clause,[],[f55,f70,f66]) ).
fof(f55,plain,
( sk_c5 = sF4
| sk_c4 = sF1 ),
inference(definition_folding,[],[f6,f32,f27]) ).
fof(f6,axiom,
( sk_c4 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP292-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:40:05 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (21523)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)
% 0.21/0.51 % (21539)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 % (21530)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 % (21532)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51 % (21514)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)
% 0.21/0.51 % (21539)Refutation not found, incomplete strategy% (21539)------------------------------
% 0.21/0.51 % (21539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (21539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (21539)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.51
% 0.21/0.51 % (21539)Memory used [KB]: 5884
% 0.21/0.51 % (21539)Time elapsed: 0.060 s
% 0.21/0.51 % (21539)Instructions burned: 3 (million)
% 0.21/0.51 % (21539)------------------------------
% 0.21/0.51 % (21539)------------------------------
% 0.21/0.51 TRYING [1]
% 0.21/0.51 % (21521)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 % (21527)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 TRYING [1]
% 0.21/0.52 % (21530)Instruction limit reached!
% 0.21/0.52 % (21530)------------------------------
% 0.21/0.52 % (21530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21530)Termination reason: Unknown
% 0.21/0.52 % (21530)Termination phase: Finite model building constraint generation
% 0.21/0.52
% 0.21/0.52 % (21530)Memory used [KB]: 5884
% 0.21/0.52 % (21530)Time elapsed: 0.008 s
% 0.21/0.52 % (21530)Instructions burned: 6 (million)
% 0.21/0.52 % (21530)------------------------------
% 0.21/0.52 % (21530)------------------------------
% 0.21/0.52 % (21521)Refutation not found, incomplete strategy% (21521)------------------------------
% 0.21/0.52 % (21521)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21521)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (21521)Memory used [KB]: 5884
% 0.21/0.52 % (21521)Time elapsed: 0.065 s
% 0.21/0.52 % (21521)Instructions burned: 4 (million)
% 0.21/0.52 % (21521)------------------------------
% 0.21/0.52 % (21521)------------------------------
% 0.21/0.52 % (21532)Instruction limit reached!
% 0.21/0.52 % (21532)------------------------------
% 0.21/0.52 % (21532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21513)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (21515)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 % (21532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21532)Termination reason: Unknown
% 0.21/0.53 % (21532)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (21532)Memory used [KB]: 6012
% 0.21/0.53 % (21532)Time elapsed: 0.117 s
% 0.21/0.53 % (21532)Instructions burned: 9 (million)
% 0.21/0.53 % (21532)------------------------------
% 0.21/0.53 % (21532)------------------------------
% 0.21/0.53 % (21515)Instruction limit reached!
% 0.21/0.53 % (21515)------------------------------
% 0.21/0.53 % (21515)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (21515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (21515)Termination reason: Unknown
% 0.21/0.53 % (21515)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (21515)Memory used [KB]: 5884
% 0.21/0.53 % (21515)Time elapsed: 0.125 s
% 0.21/0.53 % (21515)Instructions burned: 4 (million)
% 0.21/0.53 % (21515)------------------------------
% 0.21/0.53 % (21515)------------------------------
% 0.21/0.53 % (21520)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 % (21517)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (21519)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 % (21518)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)
% 0.21/0.54 % (21528)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)
% 0.21/0.54 % (21524)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)
% 0.21/0.54 % (21527)Instruction limit reached!
% 0.21/0.54 % (21527)------------------------------
% 0.21/0.54 % (21527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21527)Termination reason: Unknown
% 0.21/0.54 % (21527)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (21527)Memory used [KB]: 5884
% 0.21/0.54 % (21527)Time elapsed: 0.128 s
% 0.21/0.54 % (21527)Instructions burned: 5 (million)
% 0.21/0.54 % (21527)------------------------------
% 0.21/0.54 % (21527)------------------------------
% 0.21/0.54 % (21528)Instruction limit reached!
% 0.21/0.54 % (21528)------------------------------
% 0.21/0.54 % (21528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21528)Termination reason: Unknown
% 0.21/0.54 % (21528)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (21528)Memory used [KB]: 5884
% 0.21/0.54 % (21528)Time elapsed: 0.127 s
% 0.21/0.54 % (21528)Instructions burned: 4 (million)
% 0.21/0.54 % (21528)------------------------------
% 0.21/0.54 % (21528)------------------------------
% 0.21/0.54 % (21537)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)
% 0.21/0.54 % (21544)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)
% 0.21/0.54 % (21543)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 % (21545)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)
% 0.21/0.54 % (21531)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (21531)Instruction limit reached!
% 0.21/0.54 % (21531)------------------------------
% 0.21/0.54 % (21531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21531)Termination reason: Unknown
% 0.21/0.54 % (21531)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (21531)Memory used [KB]: 1279
% 0.21/0.54 % (21531)Time elapsed: 0.002 s
% 0.21/0.54 % (21531)Instructions burned: 2 (million)
% 0.21/0.54 % (21533)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 % (21531)------------------------------
% 0.21/0.54 % (21531)------------------------------
% 0.21/0.54 % (21544)Refutation not found, incomplete strategy% (21544)------------------------------
% 0.21/0.54 % (21544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (21544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (21544)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.54
% 0.21/0.54 % (21544)Memory used [KB]: 5884
% 0.21/0.54 % (21544)Time elapsed: 0.142 s
% 0.21/0.54 % (21544)Instructions burned: 5 (million)
% 0.21/0.54 % (21544)------------------------------
% 0.21/0.54 % (21544)------------------------------
% 0.21/0.55 % (21535)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)
% 0.21/0.55 % (21529)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)
% 0.21/0.55 % (21522)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)
% 0.21/0.55 % (21534)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (21536)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)
% 0.21/0.55 % (21540)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)
% 0.21/0.55 % (21536)Refutation not found, incomplete strategy% (21536)------------------------------
% 0.21/0.55 % (21536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (21536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (21536)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (21536)Memory used [KB]: 5884
% 0.21/0.55 % (21536)Time elapsed: 0.140 s
% 0.21/0.55 % (21536)Instructions burned: 3 (million)
% 0.21/0.55 % (21536)------------------------------
% 0.21/0.55 % (21536)------------------------------
% 0.21/0.55 % (21541)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)
% 0.21/0.55 % (21514)Instruction limit reached!
% 0.21/0.55 % (21514)------------------------------
% 0.21/0.55 % (21514)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (21522)Instruction limit reached!
% 0.21/0.55 % (21522)------------------------------
% 0.21/0.55 % (21522)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (21525)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)
% 0.21/0.55 % (21542)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)
% 0.21/0.56 % (21535)Instruction limit reached!
% 0.21/0.56 % (21535)------------------------------
% 0.21/0.56 % (21535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (21535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (21535)Termination reason: Unknown
% 0.21/0.56 % (21535)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (21535)Memory used [KB]: 1407
% 0.21/0.56 % (21535)Time elapsed: 0.152 s
% 0.21/0.56 % (21535)Instructions burned: 7 (million)
% 0.21/0.56 % (21535)------------------------------
% 0.21/0.56 % (21535)------------------------------
% 0.21/0.56 % (21522)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (21522)Termination reason: Unknown
% 0.21/0.56 % (21522)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (21522)Memory used [KB]: 5884
% 0.21/0.56 % (21522)Time elapsed: 0.148 s
% 0.21/0.56 % (21522)Instructions burned: 4 (million)
% 0.21/0.56 % (21522)------------------------------
% 0.21/0.56 % (21522)------------------------------
% 0.21/0.56 % (21524)Instruction limit reached!
% 0.21/0.56 % (21524)------------------------------
% 0.21/0.56 % (21524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (21524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (21524)Termination reason: Unknown
% 0.21/0.56 % (21524)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (21524)Memory used [KB]: 5884
% 0.21/0.56 % (21524)Time elapsed: 0.161 s
% 0.21/0.56 % (21524)Instructions burned: 6 (million)
% 0.21/0.56 % (21524)------------------------------
% 0.21/0.56 % (21524)------------------------------
% 0.21/0.56 % (21541)Refutation not found, incomplete strategy% (21541)------------------------------
% 0.21/0.56 % (21541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (21514)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (21514)Termination reason: Unknown
% 0.21/0.57 % (21514)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (21514)Memory used [KB]: 1791
% 0.21/0.57 % (21514)Time elapsed: 0.132 s
% 0.21/0.57 % (21514)Instructions burned: 42 (million)
% 0.21/0.57 % (21514)------------------------------
% 0.21/0.57 % (21514)------------------------------
% 0.21/0.57 % (21534)Instruction limit reached!
% 0.21/0.57 % (21534)------------------------------
% 0.21/0.57 % (21534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (21534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (21534)Termination reason: Unknown
% 0.21/0.57 % (21534)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (21534)Memory used [KB]: 6012
% 0.21/0.57 % (21534)Time elapsed: 0.168 s
% 0.21/0.57 % (21534)Instructions burned: 7 (million)
% 0.21/0.57 % (21534)------------------------------
% 0.21/0.57 % (21534)------------------------------
% 0.21/0.57 % (21518)Instruction limit reached!
% 0.21/0.57 % (21518)------------------------------
% 0.21/0.57 % (21518)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (21518)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (21518)Termination reason: Unknown
% 0.21/0.57 % (21518)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (21518)Memory used [KB]: 6652
% 0.21/0.57 % (21518)Time elapsed: 0.167 s
% 0.21/0.57 % (21518)Instructions burned: 34 (million)
% 0.21/0.57 % (21518)------------------------------
% 0.21/0.57 % (21518)------------------------------
% 1.71/0.58 % (21541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (21541)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58
% 1.71/0.58 % (21541)Memory used [KB]: 6012
% 1.71/0.58 % (21541)Time elapsed: 0.154 s
% 1.71/0.58 % (21541)Instructions burned: 11 (million)
% 1.71/0.58 % (21541)------------------------------
% 1.71/0.58 % (21541)------------------------------
% 1.71/0.58 % (21519)Instruction limit reached!
% 1.71/0.58 % (21519)------------------------------
% 1.71/0.58 % (21519)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.58 % (21519)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.58 % (21519)Termination reason: Unknown
% 1.71/0.58 % (21519)Termination phase: Saturation
% 1.71/0.58
% 1.71/0.58 % (21519)Memory used [KB]: 6140
% 1.71/0.58 % (21519)Time elapsed: 0.169 s
% 1.71/0.58 % (21519)Instructions burned: 25 (million)
% 1.71/0.58 % (21519)------------------------------
% 1.71/0.58 % (21519)------------------------------
% 1.71/0.59 % (21523)Instruction limit reached!
% 1.71/0.59 % (21523)------------------------------
% 1.71/0.59 % (21523)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (21523)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (21523)Termination reason: Unknown
% 1.71/0.59 % (21523)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (21523)Memory used [KB]: 6780
% 1.71/0.59 % (21523)Time elapsed: 0.184 s
% 1.71/0.59 % (21523)Instructions burned: 51 (million)
% 1.71/0.59 % (21523)------------------------------
% 1.71/0.59 % (21523)------------------------------
% 1.71/0.59 % (21533)Instruction limit reached!
% 1.71/0.59 % (21533)------------------------------
% 1.71/0.59 % (21533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.59 % (21533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.59 % (21533)Termination reason: Unknown
% 1.71/0.59 % (21533)Termination phase: Saturation
% 1.71/0.59
% 1.71/0.59 % (21533)Memory used [KB]: 11001
% 1.71/0.59 % (21533)Time elapsed: 0.190 s
% 1.71/0.59 % (21533)Instructions burned: 29 (million)
% 1.71/0.59 % (21533)------------------------------
% 1.71/0.59 % (21533)------------------------------
% 1.71/0.60 % (21525)Instruction limit reached!
% 1.71/0.60 % (21525)------------------------------
% 1.71/0.60 % (21525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (21529)Instruction limit reached!
% 1.71/0.60 % (21529)------------------------------
% 1.71/0.60 % (21529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (21525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (21529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (21525)Termination reason: Unknown
% 1.71/0.60 % (21529)Termination reason: Unknown
% 1.71/0.60 % (21525)Termination phase: Saturation
% 1.71/0.60 % (21529)Termination phase: Saturation
% 1.71/0.60
% 1.71/0.60
% 1.71/0.60 % (21525)Memory used [KB]: 6140
% 1.71/0.60 % (21529)Memory used [KB]: 1663
% 1.71/0.60 % (21525)Time elapsed: 0.199 s
% 1.71/0.60 % (21529)Time elapsed: 0.191 s
% 1.71/0.60 % (21525)Instructions burned: 24 (million)
% 1.71/0.60 % (21529)Instructions burned: 29 (million)
% 1.71/0.60 % (21525)------------------------------
% 1.71/0.60 % (21525)------------------------------
% 1.71/0.60 % (21529)------------------------------
% 1.71/0.60 % (21529)------------------------------
% 1.71/0.60 % (21513)First to succeed.
% 1.96/0.60 % (21517)Instruction limit reached!
% 1.96/0.60 % (21517)------------------------------
% 1.96/0.60 % (21517)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60 % (21517)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60 % (21517)Termination reason: Unknown
% 1.96/0.60 % (21517)Termination phase: Saturation
% 1.96/0.60
% 1.96/0.60 % (21517)Memory used [KB]: 6524
% 1.96/0.60 % (21517)Time elapsed: 0.187 s
% 1.96/0.60 % (21517)Instructions burned: 43 (million)
% 1.96/0.60 % (21517)------------------------------
% 1.96/0.60 % (21517)------------------------------
% 1.96/0.60 % (21520)Instruction limit reached!
% 1.96/0.60 % (21520)------------------------------
% 1.96/0.60 % (21520)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.60 % (21520)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.60 % (21520)Termination reason: Unknown
% 1.96/0.60 % (21520)Termination phase: Saturation
% 1.96/0.60
% 1.96/0.60 % (21520)Memory used [KB]: 1791
% 1.96/0.60 % (21520)Time elapsed: 0.182 s
% 1.96/0.60 % (21520)Instructions burned: 49 (million)
% 1.96/0.60 % (21520)------------------------------
% 1.96/0.60 % (21520)------------------------------
% 1.96/0.61 % (21513)Refutation found. Thanks to Tanya!
% 1.96/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.96/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.96/0.62 % (21513)------------------------------
% 1.96/0.62 % (21513)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (21513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.62 % (21513)Termination reason: Refutation
% 1.96/0.62
% 1.96/0.62 % (21513)Memory used [KB]: 6396
% 1.96/0.62 % (21513)Time elapsed: 0.160 s
% 1.96/0.62 % (21513)Instructions burned: 34 (million)
% 1.96/0.62 % (21513)------------------------------
% 1.96/0.62 % (21513)------------------------------
% 1.96/0.62 % (21510)Success in time 0.243 s
%------------------------------------------------------------------------------