TSTP Solution File: GRP236-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP236-1 : 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 16:14:58 EDT 2022
% Result : Unsatisfiable 1.70s 0.60s
% Output : Refutation 1.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 54
% Syntax : Number of formulae : 242 ( 27 unt; 0 def)
% Number of atoms : 682 ( 290 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 820 ( 380 ~; 422 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f935,plain,
$false,
inference(avatar_sat_refutation,[],[f81,f95,f104,f109,f123,f128,f130,f131,f132,f133,f134,f135,f137,f138,f139,f140,f141,f142,f144,f145,f146,f164,f178,f191,f205,f229,f266,f300,f433,f464,f476,f566,f612,f650,f798,f890,f934]) ).
fof(f934,plain,
( ~ spl11_5
| ~ spl11_6
| spl11_23 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f933,plain,
( $false
| ~ spl11_5
| ~ spl11_6
| spl11_23 ),
inference(subsumption_resolution,[],[f302,f228]) ).
fof(f228,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl11_23 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl11_23
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_23])]) ).
fof(f302,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_5
| ~ spl11_6 ),
inference(backward_demodulation,[],[f257,f89]) ).
fof(f89,plain,
( sk_c8 = sF3
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl11_5
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f257,plain,
( sk_c7 = multiply(sk_c8,sF3)
| ~ spl11_6 ),
inference(superposition,[],[f248,f37]) ).
fof(f37,plain,
multiply(sk_c4,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f248,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = X9
| ~ spl11_6 ),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f238,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c8,multiply(sk_c4,X9))
| ~ spl11_6 ),
inference(superposition,[],[f3,f155]) ).
fof(f155,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_6 ),
inference(superposition,[],[f2,f151]) ).
fof(f151,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f39,f94]) ).
fof(f94,plain,
( sk_c8 = sF4
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_6
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f39,plain,
inverse(sk_c4) = sF4,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f890,plain,
( ~ spl11_5
| ~ spl11_6
| ~ spl11_14
| spl11_18 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl11_5
| ~ spl11_6
| ~ spl11_14
| spl11_18 ),
inference(subsumption_resolution,[],[f888,f186]) ).
fof(f186,plain,
( identity != sk_c8
| spl11_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl11_18
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f888,plain,
( identity = sk_c8
| ~ spl11_5
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f802,f887]) ).
fof(f887,plain,
( ! [X7] : multiply(inverse(sk_c8),X7) = X7
| ~ spl11_5
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f886,f792]) ).
fof(f792,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_5
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f790,f791]) ).
fof(f791,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c8,X9)) = X9
| ~ spl11_6
| ~ spl11_14 ),
inference(forward_demodulation,[],[f281,f167]) ).
fof(f167,plain,
( sk_c8 = sk_c7
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl11_14
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f281,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c7,X9)) = X9
| ~ spl11_6 ),
inference(backward_demodulation,[],[f248,f269]) ).
fof(f269,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,X0)
| ~ spl11_6 ),
inference(superposition,[],[f250,f248]) ).
fof(f250,plain,
! [X11] : multiply(sk_c7,multiply(sk_c8,X11)) = X11,
inference(forward_demodulation,[],[f240,f1]) ).
fof(f240,plain,
! [X11] : multiply(sk_c7,multiply(sk_c8,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f153]) ).
fof(f153,plain,
identity = multiply(sk_c7,sk_c8),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
inverse(sk_c8) = sk_c7,
inference(forward_demodulation,[],[f48,f51]) ).
fof(f51,plain,
sk_c7 = sF8,
inference(definition_folding,[],[f4,f48]) ).
fof(f4,axiom,
inverse(sk_c8) = sk_c7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f48,plain,
inverse(sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f790,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl11_5
| ~ spl11_6
| ~ spl11_14 ),
inference(backward_demodulation,[],[f786,f167]) ).
fof(f786,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl11_5
| ~ spl11_6 ),
inference(forward_demodulation,[],[f261,f89]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sF3,X0))
| ~ spl11_6 ),
inference(superposition,[],[f3,f257]) ).
fof(f886,plain,
( ! [X7] : multiply(sk_c8,X7) = multiply(inverse(sk_c8),X7)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f316,f167]) ).
fof(f316,plain,
! [X7] : multiply(sk_c8,X7) = multiply(inverse(sk_c7),X7),
inference(superposition,[],[f252,f250]) ).
fof(f252,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f236,f1]) ).
fof(f236,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f802,plain,
( sk_c8 = multiply(inverse(sk_c8),identity)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f315,f167]) ).
fof(f315,plain,
sk_c8 = multiply(inverse(sk_c7),identity),
inference(superposition,[],[f252,f153]) ).
fof(f798,plain,
( ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| spl11_18
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f797,plain,
( $false
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| spl11_18
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f796,f186]) ).
fof(f796,plain,
( identity = sk_c8
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_14
| ~ spl11_23 ),
inference(backward_demodulation,[],[f699,f795]) ).
fof(f795,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl11_14 ),
inference(forward_demodulation,[],[f153,f167]) ).
fof(f699,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(backward_demodulation,[],[f327,f99]) ).
fof(f99,plain,
( sk_c8 = sF6
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_7
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f327,plain,
( sk_c8 = multiply(sF6,sk_c8)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(forward_demodulation,[],[f318,f42]) ).
fof(f42,plain,
inverse(sk_c5) = sF6,
introduced(function_definition,[]) ).
fof(f318,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c8)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(superposition,[],[f252,f297]) ).
fof(f297,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(backward_demodulation,[],[f152,f294]) ).
fof(f294,plain,
( sk_c8 = sk_c6
| ~ spl11_10
| ~ spl11_23 ),
inference(forward_demodulation,[],[f274,f271]) ).
fof(f271,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl11_23 ),
inference(superposition,[],[f250,f227]) ).
fof(f227,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f274,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_10 ),
inference(superposition,[],[f250,f148]) ).
fof(f148,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f54,f113]) ).
fof(f113,plain,
( sk_c7 = sF10
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl11_10
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f54,plain,
multiply(sk_c8,sk_c6) = sF10,
introduced(function_definition,[]) ).
fof(f152,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f33,f122]) ).
fof(f122,plain,
( sk_c6 = sF0
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl11_12
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f33,plain,
multiply(sk_c5,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f650,plain,
( spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f649,plain,
( $false
| spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f648,f185]) ).
fof(f185,plain,
( identity = sk_c8
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f648,plain,
( identity != sk_c8
| spl11_14
| ~ spl11_18
| ~ spl11_23 ),
inference(forward_demodulation,[],[f168,f619]) ).
fof(f619,plain,
( identity = sk_c7
| ~ spl11_18
| ~ spl11_23 ),
inference(forward_demodulation,[],[f618,f1]) ).
fof(f618,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_18
| ~ spl11_23 ),
inference(forward_demodulation,[],[f227,f185]) ).
fof(f168,plain,
( sk_c8 != sk_c7
| spl11_14 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f612,plain,
( ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f611]) ).
fof(f611,plain,
( $false
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f610,f1]) ).
fof(f610,plain,
( identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(forward_demodulation,[],[f606,f554]) ).
fof(f554,plain,
( identity = inverse(identity)
| ~ spl11_14
| ~ spl11_18 ),
inference(backward_demodulation,[],[f489,f185]) ).
fof(f489,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f136,f167]) ).
fof(f606,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(trivial_inequality_removal,[],[f605]) ).
fof(f605,plain,
( identity != identity
| identity != multiply(identity,inverse(identity))
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(superposition,[],[f564,f2]) ).
fof(f564,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(forward_demodulation,[],[f562,f185]) ).
fof(f562,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| ~ spl11_1
| ~ spl11_14
| ~ spl11_18 ),
inference(backward_demodulation,[],[f533,f185]) ).
fof(f533,plain,
( ! [X4] :
( sk_c8 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X4,inverse(X4)) )
| ~ spl11_1
| ~ spl11_14 ),
inference(forward_demodulation,[],[f486,f167]) ).
fof(f486,plain,
( ! [X4] :
( sk_c8 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) )
| ~ spl11_1
| ~ spl11_14 ),
inference(backward_demodulation,[],[f74,f167]) ).
fof(f74,plain,
( ! [X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(X4,inverse(X4)) )
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f73,plain,
( spl11_1
<=> ! [X4] :
( sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f566,plain,
( ~ spl11_14
| spl11_15
| ~ spl11_18 ),
inference(avatar_contradiction_clause,[],[f565]) ).
fof(f565,plain,
( $false
| ~ spl11_14
| spl11_15
| ~ spl11_18 ),
inference(subsumption_resolution,[],[f554,f548]) ).
fof(f548,plain,
( identity != inverse(identity)
| spl11_15
| ~ spl11_18 ),
inference(backward_demodulation,[],[f172,f185]) ).
fof(f172,plain,
( sk_c8 != inverse(identity)
| spl11_15 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl11_15
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f476,plain,
( ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| spl11_14
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f475,plain,
( $false
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| spl11_14
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f474,f168]) ).
fof(f474,plain,
( sk_c8 = sk_c7
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(backward_demodulation,[],[f227,f470]) ).
fof(f470,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12
| ~ spl11_23 ),
inference(backward_demodulation,[],[f327,f99]) ).
fof(f464,plain,
( ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| spl11_18
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f463]) ).
fof(f463,plain,
( $false
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| spl11_18
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f462,f186]) ).
fof(f462,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f461,f385]) ).
fof(f385,plain,
( identity = sk_c7
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f380,f1]) ).
fof(f380,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f359,f377]) ).
fof(f377,plain,
( identity = sk_c2
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f367,f2]) ).
fof(f367,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f321,f357]) ).
fof(f357,plain,
( identity = sk_c3
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f328,f356]) ).
fof(f356,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f348,f153]) ).
fof(f348,plain,
( multiply(sk_c3,sk_c7) = multiply(sk_c7,sk_c8)
| ~ spl11_11
| ~ spl11_23 ),
inference(superposition,[],[f245,f227]) ).
fof(f245,plain,
( ! [X16] : multiply(sk_c7,X16) = multiply(sk_c3,multiply(sk_c8,X16))
| ~ spl11_11 ),
inference(superposition,[],[f3,f192]) ).
fof(f192,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f52,f118]) ).
fof(f118,plain,
( sk_c7 = sF9
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl11_11
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f52,plain,
multiply(sk_c3,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f328,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl11_4
| ~ spl11_8 ),
inference(forward_demodulation,[],[f319,f194]) ).
fof(f194,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f34,f85]) ).
fof(f85,plain,
( sk_c3 = sF1
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_4
<=> sk_c3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f34,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f319,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl11_8 ),
inference(superposition,[],[f252,f188]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f45,f103]) ).
fof(f103,plain,
( sk_c7 = sF7
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl11_8
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f45,plain,
multiply(sk_c2,sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f321,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl11_4 ),
inference(superposition,[],[f252,f193]) ).
fof(f193,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f157,f85]) ).
fof(f157,plain,
identity = multiply(sF1,sk_c2),
inference(superposition,[],[f2,f34]) ).
fof(f359,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f188,f357]) ).
fof(f461,plain,
( sk_c8 = sk_c7
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
( sk_c7 = multiply(identity,sk_c8)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f192,f357]) ).
fof(f433,plain,
( ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| spl11_18
| ~ spl11_23 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| spl11_18
| ~ spl11_23 ),
inference(subsumption_resolution,[],[f431,f186]) ).
fof(f431,plain,
( identity = sk_c8
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_23 ),
inference(forward_demodulation,[],[f430,f1]) ).
fof(f430,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_13
| ~ spl11_23 ),
inference(forward_demodulation,[],[f394,f419]) ).
fof(f419,plain,
( identity = sk_c1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_23 ),
inference(forward_demodulation,[],[f404,f1]) ).
fof(f404,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| ~ spl11_23 ),
inference(backward_demodulation,[],[f272,f385]) ).
fof(f272,plain,
( sk_c1 = multiply(sk_c7,identity)
| ~ spl11_9 ),
inference(superposition,[],[f250,f189]) ).
fof(f189,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f154,f108]) ).
fof(f108,plain,
( sk_c8 = sF5
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl11_9
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f154,plain,
identity = multiply(sF5,sk_c1),
inference(superposition,[],[f2,f41]) ).
fof(f41,plain,
inverse(sk_c1) = sF5,
introduced(function_definition,[]) ).
fof(f394,plain,
( sk_c8 = multiply(sk_c1,identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13
| ~ spl11_23 ),
inference(backward_demodulation,[],[f195,f385]) ).
fof(f195,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f36,f127]) ).
fof(f127,plain,
( sk_c8 = sF2
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl11_13
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f36,plain,
multiply(sk_c1,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f300,plain,
( spl11_5
| ~ spl11_6
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f278,f226,f92,f87]) ).
fof(f278,plain,
( sk_c8 = sF3
| ~ spl11_6
| ~ spl11_23 ),
inference(backward_demodulation,[],[f275,f271]) ).
fof(f275,plain,
( multiply(sk_c7,sk_c7) = sF3
| ~ spl11_6 ),
inference(superposition,[],[f250,f257]) ).
fof(f266,plain,
( spl11_23
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_split_clause,[],[f262,f125,f106,f226]) ).
fof(f262,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_9
| ~ spl11_13 ),
inference(superposition,[],[f249,f195]) ).
fof(f249,plain,
( ! [X10] : multiply(sk_c8,multiply(sk_c1,X10)) = X10
| ~ spl11_9 ),
inference(forward_demodulation,[],[f239,f1]) ).
fof(f239,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c8,multiply(sk_c1,X10))
| ~ spl11_9 ),
inference(superposition,[],[f3,f189]) ).
fof(f229,plain,
( ~ spl11_23
| ~ spl11_15
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f198,f79,f170,f226]) ).
fof(f79,plain,
( spl11_3
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f198,plain,
( sk_c8 != inverse(identity)
| sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl11_3 ),
inference(superposition,[],[f80,f1]) ).
fof(f80,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f205,plain,
( ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f203,f148]) ).
fof(f203,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| ~ spl11_3
| ~ spl11_7
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f201,f149]) ).
fof(f149,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl11_7 ),
inference(backward_demodulation,[],[f42,f99]) ).
fof(f201,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl11_3
| ~ spl11_12 ),
inference(superposition,[],[f80,f152]) ).
fof(f191,plain,
( spl11_16
| ~ spl11_9 ),
inference(avatar_split_clause,[],[f190,f106,f175]) ).
fof(f175,plain,
( spl11_16
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f190,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f41,f108]) ).
fof(f178,plain,
( ~ spl11_16
| ~ spl11_13
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f160,f76,f125,f175]) ).
fof(f76,plain,
( spl11_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f160,plain,
( sk_c8 != sF2
| sk_c8 != inverse(sk_c1)
| ~ spl11_2 ),
inference(superposition,[],[f77,f36]) ).
fof(f77,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f164,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_6 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f163,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_6 ),
inference(subsumption_resolution,[],[f162,f151]) ).
fof(f162,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl11_2
| ~ spl11_5 ),
inference(trivial_inequality_removal,[],[f161]) ).
fof(f161,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl11_2
| ~ spl11_5 ),
inference(superposition,[],[f77,f150]) ).
fof(f150,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f37,f89]) ).
fof(f146,plain,
( spl11_12
| spl11_13 ),
inference(avatar_split_clause,[],[f47,f125,f120]) ).
fof(f47,plain,
( sk_c8 = sF2
| sk_c6 = sF0 ),
inference(definition_folding,[],[f13,f36,f33]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f145,plain,
( spl11_7
| spl11_4 ),
inference(avatar_split_clause,[],[f59,f83,f97]) ).
fof(f59,plain,
( sk_c3 = sF1
| sk_c8 = sF6 ),
inference(definition_folding,[],[f24,f42,f34]) ).
fof(f24,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f144,plain,
( spl11_10
| spl11_8 ),
inference(avatar_split_clause,[],[f60,f101,f111]) ).
fof(f60,plain,
( sk_c7 = sF7
| sk_c7 = sF10 ),
inference(definition_folding,[],[f17,f45,f54]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f142,plain,
( spl11_4
| spl11_10 ),
inference(avatar_split_clause,[],[f62,f111,f83]) ).
fof(f62,plain,
( sk_c7 = sF10
| sk_c3 = sF1 ),
inference(definition_folding,[],[f22,f34,f54]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f141,plain,
( spl11_6
| spl11_13 ),
inference(avatar_split_clause,[],[f44,f125,f92]) ).
fof(f44,plain,
( sk_c8 = sF2
| sk_c8 = sF4 ),
inference(definition_folding,[],[f10,f39,f36]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f140,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f55,f116,f111]) ).
fof(f55,plain,
( sk_c7 = sF9
| sk_c7 = sF10 ),
inference(definition_folding,[],[f27,f52,f54]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f139,plain,
( spl11_12
| spl11_8 ),
inference(avatar_split_clause,[],[f57,f101,f120]) ).
fof(f57,plain,
( sk_c7 = sF7
| sk_c6 = sF0 ),
inference(definition_folding,[],[f18,f45,f33]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f138,plain,
( spl11_7
| spl11_11 ),
inference(avatar_split_clause,[],[f67,f116,f97]) ).
fof(f67,plain,
( sk_c7 = sF9
| sk_c8 = sF6 ),
inference(definition_folding,[],[f29,f42,f52]) ).
fof(f29,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f137,plain,
( spl11_13
| spl11_7 ),
inference(avatar_split_clause,[],[f50,f97,f125]) ).
fof(f50,plain,
( sk_c8 = sF6
| sk_c8 = sF2 ),
inference(definition_folding,[],[f14,f42,f36]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f135,plain,
( spl11_9
| spl11_5 ),
inference(avatar_split_clause,[],[f63,f87,f106]) ).
fof(f63,plain,
( sk_c8 = sF3
| sk_c8 = sF5 ),
inference(definition_folding,[],[f6,f37,f41]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f134,plain,
( spl11_6
| spl11_11 ),
inference(avatar_split_clause,[],[f53,f116,f92]) ).
fof(f53,plain,
( sk_c7 = sF9
| sk_c8 = sF4 ),
inference(definition_folding,[],[f25,f39,f52]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f133,plain,
( spl11_9
| spl11_12 ),
inference(avatar_split_clause,[],[f70,f120,f106]) ).
fof(f70,plain,
( sk_c6 = sF0
| sk_c8 = sF5 ),
inference(definition_folding,[],[f8,f33,f41]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f132,plain,
( spl11_13
| spl11_10 ),
inference(avatar_split_clause,[],[f65,f111,f125]) ).
fof(f65,plain,
( sk_c7 = sF10
| sk_c8 = sF2 ),
inference(definition_folding,[],[f12,f36,f54]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f131,plain,
( spl11_8
| spl11_6 ),
inference(avatar_split_clause,[],[f46,f92,f101]) ).
fof(f46,plain,
( sk_c8 = sF4
| sk_c7 = sF7 ),
inference(definition_folding,[],[f15,f45,f39]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f130,plain,
( spl11_4
| spl11_12 ),
inference(avatar_split_clause,[],[f35,f120,f83]) ).
fof(f35,plain,
( sk_c6 = sF0
| sk_c3 = sF1 ),
inference(definition_folding,[],[f23,f34,f33]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f128,plain,
( spl11_5
| spl11_13 ),
inference(avatar_split_clause,[],[f38,f125,f87]) ).
fof(f38,plain,
( sk_c8 = sF2
| sk_c8 = sF3 ),
inference(definition_folding,[],[f11,f37,f36]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f123,plain,
( spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f69,f120,f116]) ).
fof(f69,plain,
( sk_c6 = sF0
| sk_c7 = sF9 ),
inference(definition_folding,[],[f28,f52,f33]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f109,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f68,f92,f106]) ).
fof(f68,plain,
( sk_c8 = sF4
| sk_c8 = sF5 ),
inference(definition_folding,[],[f5,f39,f41]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f104,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f66,f101,f97]) ).
fof(f66,plain,
( sk_c7 = sF7
| sk_c8 = sF6 ),
inference(definition_folding,[],[f19,f45,f42]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f95,plain,
( spl11_6
| spl11_4 ),
inference(avatar_split_clause,[],[f40,f83,f92]) ).
fof(f40,plain,
( sk_c3 = sF1
| sk_c8 = sF4 ),
inference(definition_folding,[],[f20,f39,f34]) ).
fof(f20,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f81,plain,
( spl11_1
| spl11_2
| spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f71,f79,f76,f76,f73]) ).
fof(f71,plain,
! [X3,X8,X6,X4] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7) ),
inference(subsumption_resolution,[],[f49,f51]) ).
fof(f49,plain,
! [X3,X8,X6,X4] :
( sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != sF8 ),
inference(definition_folding,[],[f32,f48]) ).
fof(f32,plain,
! [X3,X8,X6,X4] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(X4,inverse(X4))
| sk_c7 != multiply(inverse(X4),sk_c8)
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c7 != multiply(X4,X5)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(X3,sk_c7)
| inverse(X4) != X5
| sk_c8 != inverse(X8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f30]) ).
fof(f30,axiom,
! [X3,X8,X6,X7,X4,X5] :
( multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(sk_c8,X7)
| sk_c7 != multiply(X4,X5)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(X3,sk_c7)
| inverse(X4) != X5
| sk_c8 != inverse(X8)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X6)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP236-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % 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 22:36:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.52 % (6407)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)
% 0.21/0.52 % (6399)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)
% 0.21/0.53 % (6407)Refutation not found, incomplete strategy% (6407)------------------------------
% 0.21/0.53 % (6407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (6384)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (6390)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)
% 0.21/0.53 % (6407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6407)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (6407)Memory used [KB]: 5884
% 0.21/0.53 % (6407)Time elapsed: 0.065 s
% 0.21/0.53 % (6407)Instructions burned: 3 (million)
% 0.21/0.53 % (6407)------------------------------
% 0.21/0.53 % (6407)------------------------------
% 0.21/0.53 % (6399)Instruction limit reached!
% 0.21/0.53 % (6399)------------------------------
% 0.21/0.53 % (6399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (6399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6399)Termination reason: Unknown
% 0.21/0.53 % (6399)Termination phase: Finite model building preprocessing
% 0.21/0.53
% 0.21/0.53 % (6399)Memory used [KB]: 6012
% 0.21/0.53 % (6399)Time elapsed: 0.008 s
% 0.21/0.53 % (6399)Instructions burned: 6 (million)
% 0.21/0.53 % (6399)------------------------------
% 0.21/0.53 % (6399)------------------------------
% 0.21/0.54 % (6387)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 % (6409)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.54 % (6391)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)
% 0.21/0.54 % (6388)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.54 % (6391)Instruction limit reached!
% 0.21/0.54 % (6391)------------------------------
% 0.21/0.54 % (6391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (6391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (6391)Termination reason: Unknown
% 0.21/0.54 % (6391)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (6391)Memory used [KB]: 5884
% 0.21/0.54 % (6391)Time elapsed: 0.121 s
% 0.21/0.54 % (6391)Instructions burned: 4 (million)
% 0.21/0.54 % (6391)------------------------------
% 0.21/0.54 % (6391)------------------------------
% 0.21/0.54 % (6393)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 % (6389)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)
% 0.21/0.54 % (6383)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.54 % (6385)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)
% 0.21/0.54 % (6386)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)
% 0.21/0.54 % (6393)Instruction limit reached!
% 0.21/0.54 % (6393)------------------------------
% 0.21/0.54 % (6393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (6393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (6393)Termination reason: Unknown
% 0.21/0.54 % (6393)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (6393)Memory used [KB]: 6012
% 0.21/0.54 % (6393)Time elapsed: 0.131 s
% 0.21/0.54 % (6393)Instructions burned: 7 (million)
% 0.21/0.54 % (6393)------------------------------
% 0.21/0.54 % (6393)------------------------------
% 0.21/0.54 % (6385)Instruction limit reached!
% 0.21/0.54 % (6385)------------------------------
% 0.21/0.54 % (6385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (6386)Refutation not found, incomplete strategy% (6386)------------------------------
% 0.21/0.55 % (6386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (6404)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 % (6410)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)
% 0.21/0.55 % (6410)Refutation not found, incomplete strategy% (6410)------------------------------
% 0.21/0.55 % (6410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (6405)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 % (6392)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)
% 0.21/0.55 % (6406)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)
% 0.21/0.55 % (6396)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)
% 0.21/0.55 % (6394)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 % (6402)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)
% 0.21/0.55 % (6412)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)
% 0.21/0.55 % (6397)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)
% 0.21/0.55 % (6400)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)
% 0.21/0.55 % (6401)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (6410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (6410)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (6410)Memory used [KB]: 5884
% 0.21/0.56 % (6410)Time elapsed: 0.138 s
% 0.21/0.56 % (6410)Instructions burned: 5 (million)
% 0.21/0.56 % (6410)------------------------------
% 0.21/0.56 % (6410)------------------------------
% 0.21/0.56 % (6403)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)
% 0.21/0.56 % (6386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (6386)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.56
% 0.21/0.56 % (6386)Memory used [KB]: 5884
% 0.21/0.56 % (6386)Time elapsed: 0.134 s
% 0.21/0.56 % (6386)Instructions burned: 4 (million)
% 0.21/0.56 % (6386)------------------------------
% 0.21/0.56 % (6386)------------------------------
% 0.21/0.56 % (6401)Instruction limit reached!
% 0.21/0.56 % (6401)------------------------------
% 0.21/0.56 % (6401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (6408)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)
% 0.21/0.56 % (6411)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)
% 0.21/0.56 % (6413)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)
% 0.21/0.56 % (6397)Instruction limit reached!
% 0.21/0.56 % (6397)------------------------------
% 0.21/0.56 % (6397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (6397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (6397)Termination reason: Unknown
% 0.21/0.56 % (6397)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (6397)Memory used [KB]: 5884
% 0.21/0.56 % (6397)Time elapsed: 0.004 s
% 0.21/0.56 % (6397)Instructions burned: 3 (million)
% 0.21/0.56 % (6397)------------------------------
% 0.21/0.56 % (6397)------------------------------
% 0.21/0.56 % (6398)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)
% 0.21/0.57 % (6401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6401)Termination reason: Unknown
% 0.21/0.57 % (6401)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6401)Memory used [KB]: 6012
% 0.21/0.57 % (6401)Time elapsed: 0.147 s
% 0.21/0.57 % (6401)Instructions burned: 9 (million)
% 0.21/0.57 % (6401)------------------------------
% 0.21/0.57 % (6401)------------------------------
% 0.21/0.57 % (6385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6385)Termination reason: Unknown
% 0.21/0.57 % (6385)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6385)Memory used [KB]: 5884
% 0.21/0.57 % (6385)Time elapsed: 0.003 s
% 0.21/0.57 % (6385)Instructions burned: 4 (million)
% 0.21/0.57 % (6385)------------------------------
% 0.21/0.57 % (6385)------------------------------
% 0.21/0.57 % (6404)Instruction limit reached!
% 0.21/0.57 % (6404)------------------------------
% 0.21/0.57 % (6404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6403)Instruction limit reached!
% 0.21/0.57 % (6403)------------------------------
% 0.21/0.57 % (6403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6403)Termination reason: Unknown
% 0.21/0.57 % (6403)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6403)Memory used [KB]: 6012
% 0.21/0.57 % (6403)Time elapsed: 0.157 s
% 0.21/0.57 % (6403)Instructions burned: 7 (million)
% 0.21/0.57 % (6403)------------------------------
% 0.21/0.57 % (6403)------------------------------
% 0.21/0.57 % (6404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6404)Termination reason: Unknown
% 0.21/0.57 % (6404)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6404)Memory used [KB]: 1407
% 0.21/0.57 % (6404)Time elapsed: 0.159 s
% 0.21/0.57 % (6404)Instructions burned: 7 (million)
% 0.21/0.57 % (6404)------------------------------
% 0.21/0.57 % (6404)------------------------------
% 0.21/0.57 % (6396)Instruction limit reached!
% 0.21/0.57 % (6396)------------------------------
% 0.21/0.57 % (6396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6396)Termination reason: Unknown
% 0.21/0.57 % (6396)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6396)Memory used [KB]: 5884
% 0.21/0.57 % (6396)Time elapsed: 0.136 s
% 0.21/0.57 % (6396)Instructions burned: 5 (million)
% 0.21/0.57 % (6396)------------------------------
% 0.21/0.57 % (6396)------------------------------
% 0.21/0.57 % (6409)Refutation not found, incomplete strategy% (6409)------------------------------
% 0.21/0.57 % (6409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6409)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.57
% 0.21/0.57 % (6409)Memory used [KB]: 6012
% 0.21/0.57 % (6409)Time elapsed: 0.152 s
% 0.21/0.57 % (6409)Instructions burned: 8 (million)
% 0.21/0.57 % (6409)------------------------------
% 0.21/0.57 % (6409)------------------------------
% 0.21/0.57 % (6400)Instruction limit reached!
% 0.21/0.57 % (6400)------------------------------
% 0.21/0.57 % (6400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6400)Termination reason: Unknown
% 0.21/0.57 % (6400)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6400)Memory used [KB]: 5884
% 0.21/0.57 % (6400)Time elapsed: 0.003 s
% 0.21/0.57 % (6400)Instructions burned: 3 (million)
% 0.21/0.57 % (6400)------------------------------
% 0.21/0.57 % (6400)------------------------------
% 0.21/0.57 % (6412)Instruction limit reached!
% 0.21/0.57 % (6412)------------------------------
% 0.21/0.57 % (6412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6388)Instruction limit reached!
% 0.21/0.57 % (6388)------------------------------
% 0.21/0.57 % (6388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (6388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (6388)Termination reason: Unknown
% 0.21/0.57 % (6388)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (6388)Memory used [KB]: 6140
% 0.21/0.57 % (6388)Time elapsed: 0.139 s
% 0.21/0.57 % (6388)Instructions burned: 25 (million)
% 0.21/0.57 % (6388)------------------------------
% 0.21/0.57 % (6388)------------------------------
% 1.70/0.58 % (6387)Instruction limit reached!
% 1.70/0.58 % (6387)------------------------------
% 1.70/0.58 % (6387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.58 % (6387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (6387)Termination reason: Unknown
% 1.70/0.58 % (6387)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (6387)Memory used [KB]: 6524
% 1.70/0.58 % (6387)Time elapsed: 0.165 s
% 1.70/0.58 % (6387)Instructions burned: 35 (million)
% 1.70/0.58 % (6387)------------------------------
% 1.70/0.58 % (6387)------------------------------
% 1.70/0.58 % (6412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.58 % (6412)Termination reason: Unknown
% 1.70/0.58 % (6412)Termination phase: Saturation
% 1.70/0.58
% 1.70/0.58 % (6412)Memory used [KB]: 6268
% 1.70/0.58 % (6412)Time elapsed: 0.157 s
% 1.70/0.58 % (6412)Instructions burned: 22 (million)
% 1.70/0.58 % (6412)------------------------------
% 1.70/0.58 % (6412)------------------------------
% 1.70/0.60 % (6394)Instruction limit reached!
% 1.70/0.60 % (6394)------------------------------
% 1.70/0.60 % (6394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (6394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (6394)Termination reason: Unknown
% 1.70/0.60 % (6394)Termination phase: Saturation
% 1.70/0.60
% 1.70/0.60 % (6394)Memory used [KB]: 6140
% 1.70/0.60 % (6394)Time elapsed: 0.189 s
% 1.70/0.60 % (6394)Instructions burned: 23 (million)
% 1.70/0.60 % (6394)------------------------------
% 1.70/0.60 % (6394)------------------------------
% 1.70/0.60 % (6383)First to succeed.
% 1.70/0.60 % (6383)Refutation found. Thanks to Tanya!
% 1.70/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.70/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.60 % (6383)------------------------------
% 1.70/0.60 % (6383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.60 % (6383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.60 % (6383)Termination reason: Refutation
% 1.70/0.60
% 1.70/0.60 % (6383)Memory used [KB]: 6268
% 1.70/0.60 % (6383)Time elapsed: 0.175 s
% 1.70/0.60 % (6383)Instructions burned: 31 (million)
% 1.70/0.60 % (6383)------------------------------
% 1.70/0.60 % (6383)------------------------------
% 1.70/0.60 % (6380)Success in time 0.23 s
%------------------------------------------------------------------------------