TSTP Solution File: GRP276-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:15:09 EDT 2022
% Result : Unsatisfiable 2.72s 0.80s
% Output : Refutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 57
% Syntax : Number of formulae : 265 ( 30 unt; 0 def)
% Number of atoms : 849 ( 312 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1105 ( 521 ~; 569 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1082,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f94,f103,f104,f109,f115,f116,f117,f118,f119,f124,f125,f126,f127,f132,f137,f139,f140,f141,f142,f143,f144,f145,f155,f156,f157,f158,f159,f242,f291,f353,f396,f439,f799,f855,f897,f911,f958,f1080]) ).
fof(f1080,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1079,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f1078,f872]) ).
fof(f872,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f528,f864]) ).
fof(f864,plain,
( sk_c7 = sk_c5
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(superposition,[],[f715,f626]) ).
fof(f626,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f39,f89]) ).
fof(f89,plain,
( sk_c7 = sF3
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl11_3
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f39,plain,
multiply(sk_c6,sk_c5) = sF3,
introduced(function_definition,[]) ).
fof(f715,plain,
( ! [X12] : multiply(sk_c6,X12) = X12
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f714,f534]) ).
fof(f534,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f532,f533]) ).
fof(f533,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c3,X0)
| ~ spl11_6
| ~ spl11_10 ),
inference(forward_demodulation,[],[f531,f528]) ).
fof(f531,plain,
( ! [X0] : multiply(inverse(sk_c7),X0) = multiply(sk_c3,X0)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f402,f131]) ).
fof(f131,plain,
( sk_c7 = sF0
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl11_10
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f402,plain,
! [X0] : multiply(inverse(sF0),X0) = multiply(sk_c3,X0),
inference(forward_demodulation,[],[f401,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f401,plain,
! [X0] : multiply(inverse(sF0),multiply(identity,X0)) = multiply(sk_c3,X0),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
sk_c3 = multiply(inverse(sF0),identity),
inference(superposition,[],[f180,f168]) ).
fof(f168,plain,
identity = multiply(sF0,sk_c3),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
inverse(sk_c3) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f180,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f173,f1]) ).
fof(f173,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f532,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl11_10 ),
inference(backward_demodulation,[],[f189,f131]) ).
fof(f189,plain,
! [X0] : multiply(sF0,multiply(sk_c3,X0)) = X0,
inference(forward_demodulation,[],[f188,f1]) ).
fof(f188,plain,
! [X0] : multiply(identity,X0) = multiply(sF0,multiply(sk_c3,X0)),
inference(superposition,[],[f3,f168]) ).
fof(f714,plain,
( ! [X12] : multiply(sk_c6,X12) = multiply(sk_c7,multiply(sk_c5,X12))
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_demodulation,[],[f713,f708]) ).
fof(f708,plain,
( sk_c7 = sk_c4
| ~ spl11_6
| ~ spl11_11 ),
inference(forward_demodulation,[],[f452,f707]) ).
fof(f707,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f210,f102]) ).
fof(f102,plain,
( sk_c5 = sF2
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl11_6
<=> sk_c5 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f210,plain,
sk_c7 = multiply(inverse(sF2),identity),
inference(superposition,[],[f180,f167]) ).
fof(f167,plain,
identity = multiply(sF2,sk_c7),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
inverse(sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f452,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f211,f136]) ).
fof(f136,plain,
( sk_c5 = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl11_11
<=> sk_c5 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f211,plain,
sk_c4 = multiply(inverse(sF9),identity),
inference(superposition,[],[f180,f169]) ).
fof(f169,plain,
identity = multiply(sF9,sk_c4),
inference(superposition,[],[f2,f54]) ).
fof(f54,plain,
inverse(sk_c4) = sF9,
introduced(function_definition,[]) ).
fof(f713,plain,
( ! [X12] : multiply(sk_c4,multiply(sk_c5,X12)) = multiply(sk_c6,X12)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f178,f108]) ).
fof(f108,plain,
( sk_c6 = sF5
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl11_7
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f178,plain,
! [X12] : multiply(sk_c4,multiply(sk_c5,X12)) = multiply(sF5,X12),
inference(superposition,[],[f3,f42]) ).
fof(f42,plain,
multiply(sk_c4,sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f528,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl11_6 ),
inference(forward_demodulation,[],[f38,f102]) ).
fof(f1078,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f1074]) ).
fof(f1074,plain,
( sk_c7 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_14
| ~ spl11_20 ),
inference(superposition,[],[f959,f887]) ).
fof(f887,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f877,f872]) ).
fof(f877,plain,
( sk_c7 = multiply(inverse(sk_c7),identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f707,f864]) ).
fof(f959,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_14
| ~ spl11_20 ),
inference(forward_demodulation,[],[f154,f912]) ).
fof(f912,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_20 ),
inference(backward_demodulation,[],[f80,f385]) ).
fof(f385,plain,
( identity = sF6
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f384,plain,
( spl11_20
<=> identity = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_20])]) ).
fof(f80,plain,
( sk_c6 = sF6
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl11_1
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f154,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl11_14
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f958,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_20 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f957,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_20 ),
inference(subsumption_resolution,[],[f956,f872]) ).
fof(f956,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| ~ spl11_12
| ~ spl11_20 ),
inference(forward_demodulation,[],[f941,f872]) ).
fof(f941,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_12
| ~ spl11_20 ),
inference(trivial_inequality_removal,[],[f937]) ).
fof(f937,plain,
( identity != identity
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl11_1
| ~ spl11_12
| ~ spl11_20 ),
inference(superposition,[],[f916,f2]) ).
fof(f916,plain,
( ! [X3] :
( identity != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl11_1
| ~ spl11_12
| ~ spl11_20 ),
inference(backward_demodulation,[],[f148,f912]) ).
fof(f148,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl11_12
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f911,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| spl11_20 ),
inference(avatar_contradiction_clause,[],[f910]) ).
fof(f910,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11
| spl11_20 ),
inference(subsumption_resolution,[],[f901,f807]) ).
fof(f807,plain,
( identity != sk_c6
| ~ spl11_1
| spl11_20 ),
inference(superposition,[],[f386,f80]) ).
fof(f386,plain,
( identity != sF6
| spl11_20 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f901,plain,
( identity = sk_c6
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f883,f890]) ).
fof(f890,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f780,f888]) ).
fof(f888,plain,
( sk_c7 = sk_c3
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f881,f887]) ).
fof(f881,plain,
( sk_c3 = multiply(sk_c7,identity)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f717,f864]) ).
fof(f717,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f643,f528]) ).
fof(f643,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f209,f131]) ).
fof(f780,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f168,f131]) ).
fof(f883,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f783,f864]) ).
fof(f783,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_demodulation,[],[f782,f708]) ).
fof(f782,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f42,f108]) ).
fof(f897,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f896,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| spl11_5
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f895,f97]) ).
fof(f97,plain,
( sk_c7 != sF7
| spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl11_5
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f895,plain,
( sk_c7 = sF7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f894,f786]) ).
fof(f786,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_1
| ~ spl11_10 ),
inference(backward_demodulation,[],[f781,f80]) ).
fof(f781,plain,
( sk_c7 = multiply(sk_c7,sF6)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f214,f131]) ).
fof(f214,plain,
sk_c7 = multiply(sF0,sF6),
inference(forward_demodulation,[],[f206,f35]) ).
fof(f206,plain,
sk_c7 = multiply(inverse(sk_c3),sF6),
inference(superposition,[],[f180,f44]) ).
fof(f44,plain,
multiply(sk_c3,sk_c7) = sF6,
introduced(function_definition,[]) ).
fof(f894,plain,
( multiply(sk_c7,sk_c6) = sF7
| ~ spl11_3
| ~ spl11_4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f792,f888]) ).
fof(f792,plain,
( multiply(sk_c3,sk_c6) = sF7
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10 ),
inference(backward_demodulation,[],[f47,f790]) ).
fof(f790,plain,
( sk_c3 = sk_c2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10 ),
inference(forward_demodulation,[],[f789,f717]) ).
fof(f789,plain,
( sk_c2 = multiply(sk_c5,identity)
| ~ spl11_4
| ~ spl11_6 ),
inference(forward_demodulation,[],[f213,f102]) ).
fof(f213,plain,
( sk_c2 = multiply(sF2,identity)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f204,f38]) ).
fof(f204,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_4 ),
inference(superposition,[],[f180,f170]) ).
fof(f170,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_4 ),
inference(superposition,[],[f2,f161]) ).
fof(f161,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f49,f93]) ).
fof(f93,plain,
( sk_c7 = sF8
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_4
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f49,plain,
inverse(sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f47,plain,
multiply(sk_c2,sk_c6) = sF7,
introduced(function_definition,[]) ).
fof(f855,plain,
( ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f854]) ).
fof(f854,plain,
( $false
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f835,f528]) ).
fof(f835,plain,
( sk_c5 != inverse(sk_c7)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f833]) ).
fof(f833,plain,
( sk_c6 != sk_c6
| sk_c5 != inverse(sk_c7)
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f151,f783]) ).
fof(f151,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f150,plain,
( spl11_13
<=> ! [X6] :
( sk_c5 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f799,plain,
( ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f798,plain,
( $false
| ~ spl11_6
| ~ spl11_7
| spl11_8
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f797,f112]) ).
fof(f112,plain,
( sk_c6 != sF4
| spl11_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl11_8
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f797,plain,
( sk_c6 = sF4
| ~ spl11_6
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_demodulation,[],[f40,f783]) ).
fof(f40,plain,
multiply(sk_c7,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f439,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f437,f280]) ).
fof(f280,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f162,f273]) ).
fof(f273,plain,
( sk_c1 = sk_c7
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(forward_demodulation,[],[f259,f266]) ).
fof(f266,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl11_2
| ~ spl11_9 ),
inference(forward_demodulation,[],[f260,f1]) ).
fof(f260,plain,
( multiply(sk_c1,identity) = multiply(identity,sk_c1)
| ~ spl11_2
| ~ spl11_9 ),
inference(backward_demodulation,[],[f232,f248]) ).
fof(f248,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_9 ),
inference(forward_demodulation,[],[f246,f2]) ).
fof(f246,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f180,f215]) ).
fof(f215,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_2
| ~ spl11_9 ),
inference(forward_demodulation,[],[f201,f162]) ).
fof(f201,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl11_2 ),
inference(superposition,[],[f180,f165]) ).
fof(f165,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl11_2 ),
inference(backward_demodulation,[],[f36,f84]) ).
fof(f84,plain,
( sk_c6 = sF1
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f82,plain,
( spl11_2
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f36,plain,
multiply(sk_c1,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f232,plain,
( multiply(sk_c1,identity) = multiply(sk_c6,sk_c1)
| ~ spl11_2
| ~ spl11_9 ),
inference(superposition,[],[f174,f166]) ).
fof(f166,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_9 ),
inference(superposition,[],[f2,f162]) ).
fof(f174,plain,
( ! [X8] : multiply(sk_c1,multiply(sk_c7,X8)) = multiply(sk_c6,X8)
| ~ spl11_2 ),
inference(superposition,[],[f3,f165]) ).
fof(f259,plain,
( sk_c7 = multiply(sk_c1,identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f223,f248]) ).
fof(f223,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f164,f219]) ).
fof(f219,plain,
( sk_c1 = sk_c2
| ~ spl11_4
| ~ spl11_9 ),
inference(backward_demodulation,[],[f213,f218]) ).
fof(f218,plain,
( sk_c1 = multiply(sF2,identity)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f203,f38]) ).
fof(f203,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl11_9 ),
inference(superposition,[],[f180,f166]) ).
fof(f164,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f47,f98]) ).
fof(f98,plain,
( sk_c7 = sF7
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f162,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f56,f123]) ).
fof(f123,plain,
( sk_c7 = sF10
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl11_9
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f56,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f437,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f428,f280]) ).
fof(f428,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( sk_c1 != inverse(inverse(sk_c1))
| identity != identity
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f399,f2]) ).
fof(f399,plain,
( ! [X6] :
( identity != multiply(X6,sk_c1)
| sk_c1 != inverse(X6) )
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f398,f267]) ).
fof(f267,plain,
( sk_c1 = sk_c5
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f257,f218]) ).
fof(f257,plain,
( sk_c5 = multiply(sF2,identity)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f217,f248]) ).
fof(f217,plain,
( sk_c5 = multiply(sF2,sk_c6)
| ~ spl11_8 ),
inference(forward_demodulation,[],[f202,f38]) ).
fof(f202,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_8 ),
inference(superposition,[],[f180,f163]) ).
fof(f163,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f40,f113]) ).
fof(f113,plain,
( sk_c6 = sF4
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f398,plain,
( ! [X6] :
( identity != multiply(X6,sk_c1)
| sk_c5 != inverse(X6) )
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f397,f248]) ).
fof(f397,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c1)
| sk_c5 != inverse(X6) )
| ~ spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f151,f267]) ).
fof(f396,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f394,f280]) ).
fof(f394,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f372,f280]) ).
fof(f372,plain,
( sk_c1 != inverse(inverse(sk_c1))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f367]) ).
fof(f367,plain,
( sk_c1 != inverse(inverse(sk_c1))
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(superposition,[],[f356,f2]) ).
fof(f356,plain,
( ! [X3] :
( identity != multiply(X3,sk_c1)
| sk_c1 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f355,f248]) ).
fof(f355,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c6 != multiply(X3,sk_c1) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f354,f273]) ).
fof(f354,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c1 != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f148,f273]) ).
fof(f353,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f352,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f351,f280]) ).
fof(f351,plain,
( sk_c1 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f348]) ).
fof(f348,plain,
( sk_c1 != sk_c1
| sk_c1 != inverse(sk_c1)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(superposition,[],[f312,f266]) ).
fof(f312,plain,
( ! [X4] :
( sk_c1 != multiply(X4,identity)
| sk_c1 != inverse(X4) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(forward_demodulation,[],[f311,f273]) ).
fof(f311,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| sk_c7 != multiply(X4,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(forward_demodulation,[],[f310,f248]) ).
fof(f310,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c1 != inverse(X4) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9
| ~ spl11_14 ),
inference(forward_demodulation,[],[f154,f273]) ).
fof(f291,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_8
| ~ spl11_9 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f290,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| spl11_6
| ~ spl11_8
| ~ spl11_9 ),
inference(subsumption_resolution,[],[f289,f269]) ).
fof(f269,plain,
( sk_c1 != sF2
| ~ spl11_2
| spl11_6
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f101,f267]) ).
fof(f101,plain,
( sk_c5 != sF2
| spl11_6 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f289,plain,
( sk_c1 = sF2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f274,f280]) ).
fof(f274,plain,
( inverse(sk_c1) = sF2
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_9 ),
inference(backward_demodulation,[],[f38,f273]) ).
fof(f242,plain,
( spl11_3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f237,f121,f111,f96,f91,f82,f87]) ).
fof(f237,plain,
( sk_c7 = sF3
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(backward_demodulation,[],[f39,f236]) ).
fof(f236,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f231,f223]) ).
fof(f231,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c1,sk_c6)
| ~ spl11_2
| ~ spl11_8 ),
inference(superposition,[],[f174,f163]) ).
fof(f159,plain,
( spl11_6
| spl11_8 ),
inference(avatar_split_clause,[],[f51,f111,f100]) ).
fof(f51,plain,
( sk_c6 = sF4
| sk_c5 = sF2 ),
inference(definition_folding,[],[f19,f40,f38]) ).
fof(f19,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f158,plain,
( spl11_10
| spl11_4 ),
inference(avatar_split_clause,[],[f73,f91,f129]) ).
fof(f73,plain,
( sk_c7 = sF8
| sk_c7 = sF0 ),
inference(definition_folding,[],[f24,f49,f35]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f157,plain,
( spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f55,f111,f134]) ).
fof(f55,plain,
( sk_c6 = sF4
| sk_c5 = sF9 ),
inference(definition_folding,[],[f21,f54,f40]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f156,plain,
( spl11_7
| spl11_9 ),
inference(avatar_split_clause,[],[f74,f121,f106]) ).
fof(f74,plain,
( sk_c7 = sF10
| sk_c6 = sF5 ),
inference(definition_folding,[],[f14,f42,f56]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f155,plain,
( ~ spl11_3
| ~ spl11_6
| spl11_12
| spl11_13
| spl11_14
| spl11_12
| ~ spl11_8 ),
inference(avatar_split_clause,[],[f41,f111,f147,f153,f150,f147,f100,f87]) ).
fof(f41,plain,
! [X3,X6,X4,X5] :
( sk_c6 != sF4
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c5 != inverse(X6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != sF2
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != sF3 ),
inference(definition_folding,[],[f34,f40,f39,f38]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c5 != inverse(X6)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f145,plain,
( spl11_10
| spl11_5 ),
inference(avatar_split_clause,[],[f70,f96,f129]) ).
fof(f70,plain,
( sk_c7 = sF7
| sk_c7 = sF0 ),
inference(definition_folding,[],[f30,f35,f47]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f144,plain,
( spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f37,f129,f82]) ).
fof(f37,plain,
( sk_c7 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f6,f36,f35]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f143,plain,
( spl11_11
| spl11_9 ),
inference(avatar_split_clause,[],[f64,f121,f134]) ).
fof(f64,plain,
( sk_c7 = sF10
| sk_c5 = sF9 ),
inference(definition_folding,[],[f15,f56,f54]) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f142,plain,
( spl11_11
| spl11_5 ),
inference(avatar_split_clause,[],[f75,f96,f134]) ).
fof(f75,plain,
( sk_c7 = sF7
| sk_c5 = sF9 ),
inference(definition_folding,[],[f33,f47,f54]) ).
fof(f33,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f141,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f65,f100,f121]) ).
fof(f65,plain,
( sk_c5 = sF2
| sk_c7 = sF10 ),
inference(definition_folding,[],[f13,f56,f38]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f140,plain,
( spl11_11
| spl11_2 ),
inference(avatar_split_clause,[],[f59,f82,f134]) ).
fof(f59,plain,
( sk_c6 = sF1
| sk_c5 = sF9 ),
inference(definition_folding,[],[f9,f54,f36]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f139,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f69,f96,f78]) ).
fof(f69,plain,
( sk_c7 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f29,f44,f47]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f137,plain,
( spl11_11
| spl11_4 ),
inference(avatar_split_clause,[],[f63,f91,f134]) ).
fof(f63,plain,
( sk_c7 = sF8
| sk_c5 = sF9 ),
inference(definition_folding,[],[f27,f54,f49]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f132,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f60,f129,f121]) ).
fof(f60,plain,
( sk_c7 = sF0
| sk_c7 = sF10 ),
inference(definition_folding,[],[f12,f56,f35]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f127,plain,
( spl11_9
| spl11_1 ),
inference(avatar_split_clause,[],[f76,f78,f121]) ).
fof(f76,plain,
( sk_c6 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f11,f56,f44]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f126,plain,
( spl11_2
| spl11_6 ),
inference(avatar_split_clause,[],[f71,f100,f82]) ).
fof(f71,plain,
( sk_c5 = sF2
| sk_c6 = sF1 ),
inference(definition_folding,[],[f7,f36,f38]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f125,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f43,f111,f106]) ).
fof(f43,plain,
( sk_c6 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f20,f40,f42]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f124,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f57,f87,f121]) ).
fof(f57,plain,
( sk_c7 = sF3
| sk_c7 = sF10 ),
inference(definition_folding,[],[f10,f56,f39]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f119,plain,
( spl11_7
| spl11_4 ),
inference(avatar_split_clause,[],[f52,f91,f106]) ).
fof(f52,plain,
( sk_c7 = sF8
| sk_c6 = sF5 ),
inference(definition_folding,[],[f26,f49,f42]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f118,plain,
( spl11_2
| spl11_7 ),
inference(avatar_split_clause,[],[f61,f106,f82]) ).
fof(f61,plain,
( sk_c6 = sF5
| sk_c6 = sF1 ),
inference(definition_folding,[],[f8,f36,f42]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f117,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f53,f91,f100]) ).
fof(f53,plain,
( sk_c7 = sF8
| sk_c5 = sF2 ),
inference(definition_folding,[],[f25,f38,f49]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f116,plain,
( spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f50,f78,f91]) ).
fof(f50,plain,
( sk_c6 = sF6
| sk_c7 = sF8 ),
inference(definition_folding,[],[f23,f49,f44]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f115,plain,
( spl11_3
| spl11_5 ),
inference(avatar_split_clause,[],[f72,f96,f87]) ).
fof(f72,plain,
( sk_c7 = sF7
| sk_c7 = sF3 ),
inference(definition_folding,[],[f28,f39,f47]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f109,plain,
( spl11_5
| spl11_7 ),
inference(avatar_split_clause,[],[f68,f106,f96]) ).
fof(f68,plain,
( sk_c6 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f32,f42,f47]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f104,plain,
( spl11_3
| spl11_2 ),
inference(avatar_split_clause,[],[f67,f82,f87]) ).
fof(f67,plain,
( sk_c6 = sF1
| sk_c7 = sF3 ),
inference(definition_folding,[],[f4,f36,f39]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f103,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f48,f100,f96]) ).
fof(f48,plain,
( sk_c5 = sF2
| sk_c7 = sF7 ),
inference(definition_folding,[],[f31,f38,f47]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f94,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f58,f91,f87]) ).
fof(f58,plain,
( sk_c7 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f22,f39,f49]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f45,f82,f78]) ).
fof(f45,plain,
( sk_c6 = sF1
| sk_c6 = sF6 ),
inference(definition_folding,[],[f5,f36,f44]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 22:08:30 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.57 % (31338)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)
% 0.21/0.57 % (31330)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)
% 0.21/0.57 % (31337)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)
% 0.21/0.57 % (31330)Instruction limit reached!
% 0.21/0.57 % (31330)------------------------------
% 0.21/0.57 % (31330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (31330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (31330)Termination reason: Unknown
% 0.21/0.57 % (31330)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (31330)Memory used [KB]: 5884
% 0.21/0.57 % (31330)Time elapsed: 0.005 s
% 0.21/0.57 % (31330)Instructions burned: 3 (million)
% 0.21/0.57 % (31330)------------------------------
% 0.21/0.57 % (31330)------------------------------
% 0.21/0.57 % (31329)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)
% 0.21/0.57 % (31328)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)
% 0.21/0.57 % (31338)Instruction limit reached!
% 0.21/0.57 % (31338)------------------------------
% 0.21/0.57 % (31338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (31338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (31338)Termination reason: Unknown
% 0.21/0.57 % (31338)Termination phase: Equality proxy
% 0.21/0.57
% 0.21/0.57 % (31338)Memory used [KB]: 1279
% 0.21/0.57 % (31338)Time elapsed: 0.004 s
% 0.21/0.57 % (31338)Instructions burned: 2 (million)
% 0.21/0.57 % (31329)Refutation not found, incomplete strategy% (31329)------------------------------
% 0.21/0.57 % (31329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (31338)------------------------------
% 0.21/0.57 % (31338)------------------------------
% 0.21/0.57 % (31346)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)
% 0.21/0.58 % (31336)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)
% 0.21/0.58 % (31344)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)
% 0.21/0.58 % (31345)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)
% 0.21/0.58 % (31329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (31329)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.58
% 0.21/0.58 % (31329)Memory used [KB]: 5884
% 0.21/0.58 % (31329)Time elapsed: 0.139 s
% 0.21/0.58 % (31329)Instructions burned: 3 (million)
% 0.21/0.58 % (31329)------------------------------
% 0.21/0.58 % (31329)------------------------------
% 1.72/0.58 % (31337)Instruction limit reached!
% 1.72/0.58 % (31337)------------------------------
% 1.72/0.58 % (31337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.58 % (31337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.58 % (31337)Termination reason: Unknown
% 1.72/0.58 % (31337)Termination phase: Finite model building preprocessing
% 1.72/0.58
% 1.72/0.58 % (31337)Memory used [KB]: 6012
% 1.72/0.58 % (31337)Time elapsed: 0.006 s
% 1.72/0.58 % (31337)Instructions burned: 6 (million)
% 1.72/0.58 % (31337)------------------------------
% 1.72/0.58 % (31337)------------------------------
% 1.72/0.59 % (31345)Refutation not found, incomplete strategy% (31345)------------------------------
% 1.72/0.59 % (31345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.59 % (31345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.59 % (31345)Termination reason: Refutation not found, incomplete strategy
% 1.72/0.59
% 1.72/0.59 % (31345)Memory used [KB]: 5884
% 1.72/0.59 % (31345)Time elapsed: 0.149 s
% 1.72/0.59 % (31345)Instructions burned: 3 (million)
% 1.72/0.59 % (31345)------------------------------
% 1.72/0.59 % (31345)------------------------------
% 1.92/0.62 % (31325)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)
% 1.92/0.62 % (31326)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)
% 1.92/0.62 % (31325)Refutation not found, incomplete strategy% (31325)------------------------------
% 1.92/0.62 % (31325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (31325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.62 % (31325)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.62
% 1.92/0.62 % (31325)Memory used [KB]: 5884
% 1.92/0.62 % (31325)Time elapsed: 0.188 s
% 1.92/0.62 % (31325)Instructions burned: 3 (million)
% 1.92/0.62 % (31325)------------------------------
% 1.92/0.62 % (31325)------------------------------
% 1.92/0.63 % (31343)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)
% 1.92/0.63 % (31349)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)
% 1.92/0.63 % (31331)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)
% 1.92/0.63 % (31334)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)
% 1.92/0.63 % (31351)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)
% 1.92/0.63 % (31333)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)
% 1.92/0.64 % (31341)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)
% 1.92/0.64 % (31350)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)
% 1.92/0.64 % (31323)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)
% 1.92/0.64 % (31335)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)
% 1.92/0.64 % (31327)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.92/0.64 % (31339)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.92/0.64 % (31342)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)
% 1.92/0.65 % (31336)Instruction limit reached!
% 1.92/0.65 % (31336)------------------------------
% 1.92/0.65 % (31336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65 % (31336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65 % (31336)Termination reason: Unknown
% 1.92/0.65 % (31336)Termination phase: Saturation
% 1.92/0.65
% 1.92/0.65 % (31336)Memory used [KB]: 1663
% 1.92/0.65 % (31336)Time elapsed: 0.192 s
% 1.92/0.65 % (31336)Instructions burned: 30 (million)
% 1.92/0.65 % (31336)------------------------------
% 1.92/0.65 % (31336)------------------------------
% 1.92/0.65 % (31347)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)
% 1.92/0.65 % (31349)Refutation not found, incomplete strategy% (31349)------------------------------
% 1.92/0.65 % (31349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65 % (31349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65 % (31349)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.65
% 1.92/0.65 % (31349)Memory used [KB]: 1535
% 1.92/0.65 % (31349)Time elapsed: 0.220 s
% 1.92/0.65 % (31349)Instructions burned: 14 (million)
% 1.92/0.65 % (31349)------------------------------
% 1.92/0.65 % (31349)------------------------------
% 1.92/0.65 % (31328)Instruction limit reached!
% 1.92/0.65 % (31328)------------------------------
% 1.92/0.65 % (31328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65 % (31328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65 % (31328)Termination reason: Unknown
% 1.92/0.65 % (31328)Termination phase: Saturation
% 1.92/0.65
% 1.92/0.65 % (31328)Memory used [KB]: 1535
% 1.92/0.65 % (31328)Time elapsed: 0.192 s
% 1.92/0.65 % (31328)Instructions burned: 49 (million)
% 1.92/0.65 % (31328)------------------------------
% 1.92/0.65 % (31328)------------------------------
% 1.92/0.66 % (31334)Instruction limit reached!
% 1.92/0.66 % (31334)------------------------------
% 1.92/0.66 % (31334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (31334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (31334)Termination reason: Unknown
% 1.92/0.66 % (31334)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (31334)Memory used [KB]: 5884
% 1.92/0.66 % (31334)Time elapsed: 0.206 s
% 1.92/0.66 % (31334)Instructions burned: 5 (million)
% 1.92/0.66 % (31334)------------------------------
% 1.92/0.66 % (31334)------------------------------
% 1.92/0.66 % (31335)Instruction limit reached!
% 1.92/0.66 % (31335)------------------------------
% 1.92/0.66 % (31335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (31335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (31335)Termination reason: Unknown
% 1.92/0.66 % (31335)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (31335)Memory used [KB]: 5884
% 1.92/0.66 % (31335)Time elapsed: 0.005 s
% 1.92/0.66 % (31335)Instructions burned: 4 (million)
% 1.92/0.66 % (31335)------------------------------
% 1.92/0.66 % (31335)------------------------------
% 1.92/0.66 % (31341)Instruction limit reached!
% 1.92/0.66 % (31341)------------------------------
% 1.92/0.66 % (31341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (31341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (31341)Termination reason: Unknown
% 1.92/0.66 % (31341)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (31341)Memory used [KB]: 6012
% 1.92/0.66 % (31341)Time elapsed: 0.215 s
% 1.92/0.66 % (31341)Instructions burned: 7 (million)
% 1.92/0.66 % (31341)------------------------------
% 1.92/0.66 % (31341)------------------------------
% 1.92/0.66 % (31342)Instruction limit reached!
% 1.92/0.66 % (31342)------------------------------
% 1.92/0.66 % (31342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66 % (31342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66 % (31342)Termination reason: Unknown
% 1.92/0.66 % (31342)Termination phase: Saturation
% 1.92/0.66
% 1.92/0.66 % (31342)Memory used [KB]: 1407
% 1.92/0.66 % (31342)Time elapsed: 0.211 s
% 1.92/0.66 % (31342)Instructions burned: 6 (million)
% 1.92/0.66 % (31342)------------------------------
% 1.92/0.66 % (31342)------------------------------
% 1.92/0.67 % (31339)Instruction limit reached!
% 1.92/0.67 % (31339)------------------------------
% 1.92/0.67 % (31339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67 % (31339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67 % (31339)Termination reason: Unknown
% 1.92/0.67 % (31339)Termination phase: Saturation
% 1.92/0.67
% 1.92/0.67 % (31339)Memory used [KB]: 6012
% 1.92/0.67 % (31339)Time elapsed: 0.194 s
% 1.92/0.67 % (31339)Instructions burned: 8 (million)
% 1.92/0.67 % (31339)------------------------------
% 1.92/0.67 % (31339)------------------------------
% 1.92/0.67 % (31350)Instruction limit reached!
% 1.92/0.67 % (31350)------------------------------
% 1.92/0.67 % (31350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67 % (31347)Refutation not found, incomplete strategy% (31347)------------------------------
% 1.92/0.67 % (31347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.67 % (31347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67 % (31347)Termination reason: Refutation not found, incomplete strategy
% 1.92/0.67
% 1.92/0.67 % (31347)Memory used [KB]: 6012
% 1.92/0.67 % (31347)Time elapsed: 0.180 s
% 1.92/0.67 % (31347)Instructions burned: 11 (million)
% 1.92/0.67 % (31347)------------------------------
% 1.92/0.67 % (31347)------------------------------
% 1.92/0.67 % (31350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.67 % (31350)Termination reason: Unknown
% 1.92/0.67 % (31350)Termination phase: Saturation
% 1.92/0.67
% 1.92/0.67 % (31350)Memory used [KB]: 6140
% 1.92/0.67 % (31350)Time elapsed: 0.224 s
% 1.92/0.67 % (31350)Instructions burned: 20 (million)
% 1.92/0.67 % (31350)------------------------------
% 1.92/0.67 % (31350)------------------------------
% 2.32/0.67 % (31346)Instruction limit reached!
% 2.32/0.67 % (31346)------------------------------
% 2.32/0.67 % (31346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.67 % (31346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.67 % (31346)Termination reason: Unknown
% 2.32/0.67 % (31346)Termination phase: Saturation
% 2.32/0.67
% 2.32/0.67 % (31346)Memory used [KB]: 6780
% 2.32/0.67 % (31346)Time elapsed: 0.216 s
% 2.32/0.67 % (31346)Instructions burned: 46 (million)
% 2.32/0.67 % (31346)------------------------------
% 2.32/0.67 % (31346)------------------------------
% 2.32/0.68 % (31333)Instruction limit reached!
% 2.32/0.68 % (31333)------------------------------
% 2.32/0.68 % (31333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (31333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (31333)Termination reason: Unknown
% 2.32/0.68 % (31333)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (31333)Memory used [KB]: 6140
% 2.32/0.68 % (31333)Time elapsed: 0.246 s
% 2.32/0.68 % (31333)Instructions burned: 23 (million)
% 2.32/0.68 % (31333)------------------------------
% 2.32/0.68 % (31333)------------------------------
% 2.32/0.68 % (31326)Instruction limit reached!
% 2.32/0.68 % (31326)------------------------------
% 2.32/0.68 % (31326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (31326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (31326)Termination reason: Unknown
% 2.32/0.69 % (31326)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (31326)Memory used [KB]: 6652
% 2.32/0.69 % (31326)Time elapsed: 0.235 s
% 2.32/0.69 % (31326)Instructions burned: 34 (million)
% 2.32/0.69 % (31326)------------------------------
% 2.32/0.69 % (31326)------------------------------
% 2.32/0.69 % (31327)Instruction limit reached!
% 2.32/0.69 % (31327)------------------------------
% 2.32/0.69 % (31327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.69 % (31327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.69 % (31327)Termination reason: Unknown
% 2.32/0.69 % (31327)Termination phase: Saturation
% 2.32/0.69
% 2.32/0.69 % (31327)Memory used [KB]: 6140
% 2.32/0.69 % (31327)Time elapsed: 0.263 s
% 2.32/0.69 % (31327)Instructions burned: 25 (million)
% 2.32/0.69 % (31327)------------------------------
% 2.32/0.69 % (31327)------------------------------
% 2.32/0.70 % (31324)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)
% 2.32/0.71 % (31322)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 2.32/0.72 % (31332)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)
% 2.32/0.72 % (31324)Instruction limit reached!
% 2.32/0.72 % (31324)------------------------------
% 2.32/0.72 % (31324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.72 % (31324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.72 % (31324)Termination reason: Unknown
% 2.32/0.72 % (31324)Termination phase: Saturation
% 2.32/0.72
% 2.32/0.72 % (31324)Memory used [KB]: 5884
% 2.32/0.72 % (31324)Time elapsed: 0.286 s
% 2.32/0.72 % (31324)Instructions burned: 4 (million)
% 2.32/0.72 % (31324)------------------------------
% 2.32/0.72 % (31324)------------------------------
% 2.32/0.72 % (31344)Instruction limit reached!
% 2.32/0.72 % (31344)------------------------------
% 2.32/0.72 % (31344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.73 % (31344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.73 % (31344)Termination reason: Unknown
% 2.32/0.73 % (31344)Termination phase: Saturation
% 2.32/0.73
% 2.32/0.73 % (31344)Memory used [KB]: 7675
% 2.32/0.73 % (31344)Time elapsed: 0.290 s
% 2.32/0.73 % (31344)Instructions burned: 98 (million)
% 2.32/0.73 % (31344)------------------------------
% 2.32/0.73 % (31344)------------------------------
% 2.32/0.73 % (31340)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)
% 2.32/0.74 % (31385)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/147Mi)
% 2.32/0.74 % (31348)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)
% 2.32/0.74 % (31348)Refutation not found, incomplete strategy% (31348)------------------------------
% 2.32/0.74 % (31348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.74 % (31348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.74 % (31348)Termination reason: Refutation not found, incomplete strategy
% 2.32/0.74
% 2.32/0.74 % (31348)Memory used [KB]: 5884
% 2.32/0.74 % (31348)Time elapsed: 0.310 s
% 2.32/0.74 % (31348)Instructions burned: 4 (million)
% 2.32/0.74 % (31348)------------------------------
% 2.32/0.74 % (31348)------------------------------
% 2.32/0.75 % (31323)Instruction limit reached!
% 2.32/0.75 % (31323)------------------------------
% 2.32/0.75 % (31323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.75 % (31323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.75 % (31323)Termination reason: Unknown
% 2.32/0.75 % (31323)Termination phase: Saturation
% 2.32/0.75
% 2.32/0.75 % (31323)Memory used [KB]: 1663
% 2.32/0.75 % (31323)Time elapsed: 0.272 s
% 2.32/0.75 % (31323)Instructions burned: 42 (million)
% 2.32/0.75 % (31323)------------------------------
% 2.32/0.75 % (31323)------------------------------
% 2.32/0.75 % (31332)Instruction limit reached!
% 2.32/0.75 % (31332)------------------------------
% 2.32/0.75 % (31332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.75 % (31332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.75 % (31332)Termination reason: Unknown
% 2.32/0.75 % (31332)Termination phase: Saturation
% 2.32/0.75
% 2.32/0.75 % (31332)Memory used [KB]: 5884
% 2.32/0.75 % (31332)Time elapsed: 0.314 s
% 2.32/0.75 % (31332)Instructions burned: 6 (million)
% 2.32/0.75 % (31332)------------------------------
% 2.32/0.75 % (31332)------------------------------
% 2.32/0.75 % (31331)Instruction limit reached!
% 2.32/0.75 % (31331)------------------------------
% 2.32/0.75 % (31331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.75 % (31331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.75 % (31331)Termination reason: Unknown
% 2.32/0.75 % (31331)Termination phase: Saturation
% 2.32/0.75
% 2.32/0.75 % (31331)Memory used [KB]: 6780
% 2.32/0.75 % (31331)Time elapsed: 0.265 s
% 2.32/0.75 % (31331)Instructions burned: 51 (million)
% 2.32/0.75 % (31331)------------------------------
% 2.32/0.75 % (31331)------------------------------
% 2.68/0.76 % (31343)Refutation not found, non-redundant clauses discarded% (31343)------------------------------
% 2.68/0.76 % (31343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (31343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (31343)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.68/0.76
% 2.68/0.76 % (31343)Memory used [KB]: 7164
% 2.68/0.76 % (31343)Time elapsed: 0.332 s
% 2.68/0.76 % (31343)Instructions burned: 66 (million)
% 2.68/0.76 % (31343)------------------------------
% 2.68/0.76 % (31343)------------------------------
% 2.68/0.78 % (31359)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.68/0.78 % (31361)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 (2997ds/3Mi)
% 2.68/0.78 % (31361)Instruction limit reached!
% 2.68/0.78 % (31361)------------------------------
% 2.68/0.78 % (31361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.78 % (31361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.78 % (31361)Termination reason: Unknown
% 2.68/0.78 % (31361)Termination phase: Saturation
% 2.68/0.78
% 2.68/0.78 % (31361)Memory used [KB]: 5884
% 2.68/0.78 % (31361)Time elapsed: 0.003 s
% 2.68/0.78 % (31361)Instructions burned: 5 (million)
% 2.68/0.78 % (31361)------------------------------
% 2.68/0.78 % (31361)------------------------------
% 2.68/0.79 % (31355)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=14:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/14Mi)
% 2.72/0.79 % (31362)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/33Mi)
% 2.72/0.79 % (31355)Instruction limit reached!
% 2.72/0.79 % (31355)------------------------------
% 2.72/0.79 % (31355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.79 % (31355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.79 % (31355)Termination reason: Unknown
% 2.72/0.79 % (31355)Termination phase: Saturation
% 2.72/0.79
% 2.72/0.79 % (31355)Memory used [KB]: 6140
% 2.72/0.79 % (31355)Time elapsed: 0.172 s
% 2.72/0.79 % (31355)Instructions burned: 14 (million)
% 2.72/0.79 % (31355)------------------------------
% 2.72/0.79 % (31355)------------------------------
% 2.72/0.79 % (31378)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/75Mi)
% 2.72/0.80 % (31363)dis+21_1:2_av=off:bd=off:fd=off:lcm=predicate:nwc=10.0:s2a=on:s2at=2.0:sp=reverse_arity:spb=goal:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/29Mi)
% 2.72/0.80 % (31322)First to succeed.
% 2.72/0.80 % (31374)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/34Mi)
% 2.72/0.80 % (31322)Refutation found. Thanks to Tanya!
% 2.72/0.80 % SZS status Unsatisfiable for theBenchmark
% 2.72/0.80 % SZS output start Proof for theBenchmark
% See solution above
% 2.72/0.80 % (31322)------------------------------
% 2.72/0.80 % (31322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.72/0.80 % (31322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.72/0.80 % (31322)Termination reason: Refutation
% 2.72/0.80
% 2.72/0.80 % (31322)Memory used [KB]: 6396
% 2.72/0.80 % (31322)Time elapsed: 0.342 s
% 2.72/0.80 % (31322)Instructions burned: 35 (million)
% 2.72/0.80 % (31322)------------------------------
% 2.72/0.80 % (31322)------------------------------
% 2.72/0.80 % (31321)Success in time 0.45 s
%------------------------------------------------------------------------------