TSTP Solution File: GRP294-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP294-1 : 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 : n004.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 16:15:14 EDT 2022
% Result : Unsatisfiable 1.59s 0.55s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 60
% Syntax : Number of formulae : 295 ( 24 unt; 0 def)
% Number of atoms : 1219 ( 361 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1800 ( 876 ~; 909 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 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 : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f645,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f102,f107,f112,f117,f122,f123,f128,f129,f130,f135,f140,f141,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f248,f350,f376,f391,f410,f560,f585,f599,f613,f627,f636,f643]) ).
fof(f643,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f641,f503]) ).
fof(f503,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f463,f499]) ).
fof(f499,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f498,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f498,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f497,f463]) ).
fof(f497,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c7)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f223,f477]) ).
fof(f477,plain,
( sk_c7 = sF0
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f452,f463]) ).
fof(f452,plain,
( sk_c6 = sF0
| ~ spl11_1
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f80,f451]) ).
fof(f451,plain,
( sk_c6 = sk_c5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f449,f430]) ).
fof(f430,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f417,f116]) ).
fof(f116,plain,
( sk_c6 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl11_10
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f417,plain,
( sk_c6 = multiply(sF2,sk_c7)
| ~ spl11_8 ),
inference(forward_demodulation,[],[f299,f106]) ).
fof(f106,plain,
( sk_c7 = sF4
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl11_8
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f299,plain,
sk_c6 = multiply(sF2,sF4),
inference(forward_demodulation,[],[f224,f38]) ).
fof(f38,plain,
inverse(sk_c3) = sF2,
introduced(function_definition,[]) ).
fof(f224,plain,
sk_c6 = multiply(inverse(sk_c3),sF4),
inference(superposition,[],[f186,f41]) ).
fof(f41,plain,
multiply(sk_c3,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f186,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f176,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f176,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f449,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f35,f80]) ).
fof(f35,plain,
multiply(sk_c6,sk_c7) = sF0,
introduced(function_definition,[]) ).
fof(f80,plain,
( sk_c5 = sF0
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f78,plain,
( spl11_1
<=> sk_c5 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f223,plain,
sk_c7 = multiply(inverse(sk_c6),sF0),
inference(superposition,[],[f186,f35]) ).
fof(f463,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f462,f412]) ).
fof(f412,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f41,f106]) ).
fof(f462,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f461,f435]) ).
fof(f435,plain,
( sk_c3 = sk_c4
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f413,f431]) ).
fof(f431,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f228,f116]) ).
fof(f228,plain,
sk_c3 = multiply(inverse(sF2),identity),
inference(superposition,[],[f186,f170]) ).
fof(f170,plain,
identity = multiply(sF2,sk_c3),
inference(superposition,[],[f2,f38]) ).
fof(f413,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f229,f111]) ).
fof(f111,plain,
( sk_c6 = sF6
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl11_9
<=> sk_c6 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f229,plain,
sk_c4 = multiply(inverse(sF6),identity),
inference(superposition,[],[f186,f171]) ).
fof(f171,plain,
identity = multiply(sF6,sk_c4),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
inverse(sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f461,plain,
( sk_c6 = multiply(sk_c4,sk_c6)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f460,f451]) ).
fof(f460,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f52,f127]) ).
fof(f127,plain,
( sk_c6 = sF9
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl11_12
<=> sk_c6 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f52,plain,
multiply(sk_c4,sk_c5) = sF9,
introduced(function_definition,[]) ).
fof(f641,plain,
( identity != sk_c6
| ~ spl11_1
| spl11_2
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f83,f640]) ).
fof(f640,plain,
( identity = sF1
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f639,f1]) ).
fof(f639,plain,
( sF1 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f638,f499]) ).
fof(f638,plain,
( multiply(sk_c7,identity) = sF1
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f36,f513]) ).
fof(f513,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f476,f499]) ).
fof(f476,plain,
( sk_c7 = sk_c5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f451,f463]) ).
fof(f36,plain,
multiply(sk_c7,sk_c5) = sF1,
introduced(function_definition,[]) ).
fof(f83,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(f636,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f635]) ).
fof(f635,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f634,f513]) ).
fof(f634,plain,
( identity != sk_c5
| ~ spl11_1
| spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f89,f630]) ).
fof(f630,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f629,f1]) ).
fof(f629,plain,
( sF3 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f628,f499]) ).
fof(f628,plain,
( multiply(sk_c7,identity) = sF3
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f39,f503]) ).
fof(f39,plain,
multiply(sk_c7,sk_c6) = sF3,
introduced(function_definition,[]) ).
fof(f89,plain,
( sk_c5 != sF3
| spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl11_3
<=> sk_c5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f627,plain,
( ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f625,f532]) ).
fof(f532,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f512,f526]) ).
fof(f526,plain,
( identity = sk_c3
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f511,f2]) ).
fof(f511,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f472,f499]) ).
fof(f472,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f431,f463]) ).
fof(f512,plain,
( identity = inverse(sk_c3)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f475,f499]) ).
fof(f475,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f440,f463]) ).
fof(f440,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f416,f435]) ).
fof(f416,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f44,f111]) ).
fof(f625,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f621,f532]) ).
fof(f621,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f619]) ).
fof(f619,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f616,f2]) ).
fof(f616,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f615,f503]) ).
fof(f615,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f614,f499]) ).
fof(f614,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f95,f499]) ).
fof(f95,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl11_5
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f613,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f612]) ).
fof(f612,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f607,f532]) ).
fof(f607,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f602,f1]) ).
fof(f602,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f601,f513]) ).
fof(f601,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f600,f499]) ).
fof(f600,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f92,f499]) ).
fof(f92,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl11_4
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f599,plain,
( ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f598]) ).
fof(f598,plain,
( $false
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f593,f532]) ).
fof(f593,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f589,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f588,f1]) ).
fof(f588,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f587,f499]) ).
fof(f587,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f586,f503]) ).
fof(f586,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl11_1
| ~ spl11_6
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f98,f503]) ).
fof(f98,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_6
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f585,plain,
( ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f583,f532]) ).
fof(f583,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f579,f532]) ).
fof(f579,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f577,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f537,f2]) ).
fof(f537,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f521,f499]) ).
fof(f521,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| identity != multiply(X6,identity) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f493,f499]) ).
fof(f493,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f478,f463]) ).
fof(f478,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c7 != inverse(X6) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(backward_demodulation,[],[f453,f463]) ).
fof(f453,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c6) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_8
| ~ spl11_10 ),
inference(backward_demodulation,[],[f101,f451]) ).
fof(f101,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl11_7
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f560,plain,
( ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f558,f515]) ).
fof(f515,plain,
( identity != sF5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| spl11_13 ),
inference(backward_demodulation,[],[f479,f499]) ).
fof(f479,plain,
( sk_c7 != sF5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| spl11_13 ),
inference(backward_demodulation,[],[f454,f463]) ).
fof(f454,plain,
( sk_c6 != sF5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_10
| spl11_13 ),
inference(backward_demodulation,[],[f133,f451]) ).
fof(f133,plain,
( sk_c5 != sF5
| spl11_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl11_13
<=> sk_c5 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f558,plain,
( identity = sF5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f554,f1]) ).
fof(f554,plain,
( sF5 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(backward_demodulation,[],[f551,f553]) ).
fof(f553,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f552,f2]) ).
fof(f552,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_15 ),
inference(forward_demodulation,[],[f222,f499]) ).
fof(f222,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_15 ),
inference(superposition,[],[f186,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_15 ),
inference(superposition,[],[f2,f164]) ).
fof(f164,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_15 ),
inference(backward_demodulation,[],[f55,f145]) ).
fof(f145,plain,
( sk_c7 = sF10
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl11_15
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f55,plain,
inverse(sk_c2) = sF10,
introduced(function_definition,[]) ).
fof(f551,plain,
( multiply(sk_c2,identity) = sF5
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f43,f499]) ).
fof(f43,plain,
multiply(sk_c2,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f410,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f408,f284]) ).
fof(f284,plain,
( identity = inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f252,f278]) ).
fof(f278,plain,
( identity = sk_c2
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f267,f2]) ).
fof(f267,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f222,f249]) ).
fof(f249,plain,
( identity = sk_c7
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f245,f2]) ).
fof(f245,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f220,f233]) ).
fof(f233,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f202,f232]) ).
fof(f232,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f227,f164]) ).
fof(f227,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c7)
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(superposition,[],[f186,f203]) ).
fof(f203,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14 ),
inference(backward_demodulation,[],[f168,f197]) ).
fof(f197,plain,
( sk_c7 = sk_c5
| ~ spl11_3
| ~ spl11_11
| ~ spl11_14 ),
inference(backward_demodulation,[],[f166,f194]) ).
fof(f194,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f187,f169]) ).
fof(f169,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl11_14 ),
inference(backward_demodulation,[],[f47,f139]) ).
fof(f139,plain,
( sk_c6 = sF7
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl11_14
<=> sk_c6 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f47,plain,
multiply(sk_c1,sk_c7) = sF7,
introduced(function_definition,[]) ).
fof(f187,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = X10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f179,plain,
( ! [X10] : multiply(identity,X10) = multiply(sk_c7,multiply(sk_c1,X10))
| ~ spl11_11 ),
inference(superposition,[],[f3,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_11 ),
inference(superposition,[],[f2,f165]) ).
fof(f165,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f50,f121]) ).
fof(f121,plain,
( sk_c7 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl11_11
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f50,plain,
inverse(sk_c1) = sF8,
introduced(function_definition,[]) ).
fof(f166,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl11_3 ),
inference(backward_demodulation,[],[f39,f88]) ).
fof(f88,plain,
( sk_c5 = sF3
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f168,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f43,f134]) ).
fof(f134,plain,
( sk_c5 = sF5
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f202,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_14 ),
inference(backward_demodulation,[],[f167,f197]) ).
fof(f167,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f36,f84]) ).
fof(f84,plain,
( sk_c6 = sF1
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f220,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f186,f202]) ).
fof(f252,plain,
( identity = inverse(sk_c2)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f164,f249]) ).
fof(f408,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f402,f284]) ).
fof(f402,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(superposition,[],[f396,f2]) ).
fof(f396,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f395,f269]) ).
fof(f269,plain,
( identity = sk_c6
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f233,f249]) ).
fof(f395,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f394,f249]) ).
fof(f394,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f95,f249]) ).
fof(f391,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f390,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f385,f284]) ).
fof(f385,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f380]) ).
fof(f380,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(superposition,[],[f379,f1]) ).
fof(f379,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f378,f249]) ).
fof(f378,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f377,f269]) ).
fof(f377,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f98,f269]) ).
fof(f376,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f375,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f368,f284]) ).
fof(f368,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f363,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(superposition,[],[f362,f1]) ).
fof(f362,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f361,f269]) ).
fof(f361,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f360,f269]) ).
fof(f360,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,identity) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f101,f258]) ).
fof(f258,plain,
( identity = sk_c5
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f197,f249]) ).
fof(f350,plain,
( ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f348,f284]) ).
fof(f348,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f335,f284]) ).
fof(f335,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f332]) ).
fof(f332,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(superposition,[],[f314,f2]) ).
fof(f314,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f313,f258]) ).
fof(f313,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f312,f249]) ).
fof(f312,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f92,f249]) ).
fof(f248,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f246,f199]) ).
fof(f199,plain,
( sk_c7 != sF0
| spl11_1
| ~ spl11_3
| ~ spl11_11
| ~ spl11_14 ),
inference(backward_demodulation,[],[f79,f197]) ).
fof(f79,plain,
( sk_c5 != sF0
| spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f246,plain,
( sk_c7 = sF0
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(forward_demodulation,[],[f234,f232]) ).
fof(f234,plain,
( sF0 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_11
| ~ spl11_13
| ~ spl11_14
| ~ spl11_15 ),
inference(backward_demodulation,[],[f35,f233]) ).
fof(f163,plain,
( spl11_8
| spl11_14 ),
inference(avatar_split_clause,[],[f48,f137,f104]) ).
fof(f48,plain,
( sk_c6 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f10,f47,f41]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f162,plain,
( spl11_8
| spl11_15 ),
inference(avatar_split_clause,[],[f73,f143,f104]) ).
fof(f73,plain,
( sk_c7 = sF10
| sk_c7 = sF4 ),
inference(definition_folding,[],[f30,f55,f41]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f161,plain,
( spl11_11
| spl11_10 ),
inference(avatar_split_clause,[],[f76,f114,f119]) ).
fof(f76,plain,
( sk_c6 = sF2
| sk_c7 = sF8 ),
inference(definition_folding,[],[f16,f38,f50]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f160,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f54,f87,f78]) ).
fof(f54,plain,
( sk_c5 = sF3
| sk_c5 = sF0 ),
inference(definition_folding,[],[f4,f39,f35]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f159,plain,
( spl11_14
| spl11_12 ),
inference(avatar_split_clause,[],[f53,f125,f137]) ).
fof(f53,plain,
( sk_c6 = sF9
| sk_c6 = sF7 ),
inference(definition_folding,[],[f13,f47,f52]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f158,plain,
( spl11_13
| spl11_12 ),
inference(avatar_split_clause,[],[f59,f125,f132]) ).
fof(f59,plain,
( sk_c6 = sF9
| sk_c5 = sF5 ),
inference(definition_folding,[],[f28,f52,f43]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f157,plain,
( spl11_13
| spl11_9 ),
inference(avatar_split_clause,[],[f45,f109,f132]) ).
fof(f45,plain,
( sk_c6 = sF6
| sk_c5 = sF5 ),
inference(definition_folding,[],[f27,f44,f43]) ).
fof(f27,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f156,plain,
( spl11_12
| spl11_3 ),
inference(avatar_split_clause,[],[f70,f87,f125]) ).
fof(f70,plain,
( sk_c5 = sF3
| sk_c6 = sF9 ),
inference(definition_folding,[],[f8,f52,f39]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f155,plain,
( spl11_9
| spl11_11 ),
inference(avatar_split_clause,[],[f51,f119,f109]) ).
fof(f51,plain,
( sk_c7 = sF8
| sk_c6 = sF6 ),
inference(definition_folding,[],[f17,f44,f50]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f154,plain,
( spl11_13
| spl11_8 ),
inference(avatar_split_clause,[],[f46,f104,f132]) ).
fof(f46,plain,
( sk_c7 = sF4
| sk_c5 = sF5 ),
inference(definition_folding,[],[f25,f43,f41]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f153,plain,
( spl11_12
| spl11_15 ),
inference(avatar_split_clause,[],[f67,f143,f125]) ).
fof(f67,plain,
( sk_c7 = sF10
| sk_c6 = sF9 ),
inference(definition_folding,[],[f33,f55,f52]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f152,plain,
( spl11_15
| spl11_1 ),
inference(avatar_split_clause,[],[f60,f78,f143]) ).
fof(f60,plain,
( sk_c5 = sF0
| sk_c7 = sF10 ),
inference(definition_folding,[],[f29,f35,f55]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f151,plain,
( spl11_9
| spl11_15 ),
inference(avatar_split_clause,[],[f56,f143,f109]) ).
fof(f56,plain,
( sk_c7 = sF10
| sk_c6 = sF6 ),
inference(definition_folding,[],[f32,f55,f44]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f150,plain,
( spl11_13
| spl11_1 ),
inference(avatar_split_clause,[],[f49,f78,f132]) ).
fof(f49,plain,
( sk_c5 = sF0
| sk_c5 = sF5 ),
inference(definition_folding,[],[f24,f43,f35]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f149,plain,
( spl11_2
| spl11_9 ),
inference(avatar_split_clause,[],[f69,f109,f82]) ).
fof(f69,plain,
( sk_c6 = sF6
| sk_c6 = sF1 ),
inference(definition_folding,[],[f22,f36,f44]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f148,plain,
( spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f58,f125,f119]) ).
fof(f58,plain,
( sk_c6 = sF9
| sk_c7 = sF8 ),
inference(definition_folding,[],[f18,f50,f52]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f147,plain,
( spl11_14
| spl11_1 ),
inference(avatar_split_clause,[],[f65,f78,f137]) ).
fof(f65,plain,
( sk_c5 = sF0
| sk_c6 = sF7 ),
inference(definition_folding,[],[f9,f47,f35]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f146,plain,
( spl11_10
| spl11_15 ),
inference(avatar_split_clause,[],[f75,f143,f114]) ).
fof(f75,plain,
( sk_c7 = sF10
| sk_c6 = sF2 ),
inference(definition_folding,[],[f31,f38,f55]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f141,plain,
( spl11_14
| spl11_10 ),
inference(avatar_split_clause,[],[f64,f114,f137]) ).
fof(f64,plain,
( sk_c6 = sF2
| sk_c6 = sF7 ),
inference(definition_folding,[],[f11,f47,f38]) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f140,plain,
( spl11_9
| spl11_14 ),
inference(avatar_split_clause,[],[f72,f137,f109]) ).
fof(f72,plain,
( sk_c6 = sF7
| sk_c6 = sF6 ),
inference(definition_folding,[],[f12,f44,f47]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f135,plain,
( spl11_13
| spl11_10 ),
inference(avatar_split_clause,[],[f57,f114,f132]) ).
fof(f57,plain,
( sk_c6 = sF2
| sk_c5 = sF5 ),
inference(definition_folding,[],[f26,f43,f38]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f130,plain,
( spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f63,f104,f87]) ).
fof(f63,plain,
( sk_c7 = sF4
| sk_c5 = sF3 ),
inference(definition_folding,[],[f5,f39,f41]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f129,plain,
( spl11_1
| spl11_11 ),
inference(avatar_split_clause,[],[f71,f119,f78]) ).
fof(f71,plain,
( sk_c7 = sF8
| sk_c5 = sF0 ),
inference(definition_folding,[],[f14,f35,f50]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f128,plain,
( spl11_2
| spl11_12 ),
inference(avatar_split_clause,[],[f62,f125,f82]) ).
fof(f62,plain,
( sk_c6 = sF9
| sk_c6 = sF1 ),
inference(definition_folding,[],[f23,f36,f52]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f123,plain,
( spl11_3
| spl11_10 ),
inference(avatar_split_clause,[],[f40,f114,f87]) ).
fof(f40,plain,
( sk_c6 = sF2
| sk_c5 = sF3 ),
inference(definition_folding,[],[f6,f39,f38]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f122,plain,
( spl11_11
| spl11_8 ),
inference(avatar_split_clause,[],[f74,f104,f119]) ).
fof(f74,plain,
( sk_c7 = sF4
| sk_c7 = sF8 ),
inference(definition_folding,[],[f15,f41,f50]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f117,plain,
( spl11_10
| spl11_2 ),
inference(avatar_split_clause,[],[f61,f82,f114]) ).
fof(f61,plain,
( sk_c6 = sF1
| sk_c6 = sF2 ),
inference(definition_folding,[],[f21,f36,f38]) ).
fof(f21,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f112,plain,
( spl11_9
| spl11_3 ),
inference(avatar_split_clause,[],[f68,f87,f109]) ).
fof(f68,plain,
( sk_c5 = sF3
| sk_c6 = sF6 ),
inference(definition_folding,[],[f7,f39,f44]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f107,plain,
( spl11_2
| spl11_8 ),
inference(avatar_split_clause,[],[f42,f104,f82]) ).
fof(f42,plain,
( sk_c7 = sF4
| sk_c6 = sF1 ),
inference(definition_folding,[],[f20,f36,f41]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f102,plain,
( ~ spl11_1
| ~ spl11_3
| spl11_4
| spl11_5
| spl11_6
| spl11_7
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f66,f82,f100,f97,f94,f91,f87,f78]) ).
fof(f66,plain,
! [X3,X6,X4,X5] :
( sk_c6 != sF1
| sk_c6 != inverse(X6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != inverse(X5)
| sk_c5 != sF3
| sk_c5 != sF0 ),
inference(definition_folding,[],[f34,f36,f35,f39]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != inverse(X5)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f37,f82,f78]) ).
fof(f37,plain,
( sk_c6 = sF1
| sk_c5 = sF0 ),
inference(definition_folding,[],[f19,f36,f35]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP294-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % 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 : n004.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 22:22:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (9958)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (9961)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)
% 0.20/0.51 % (9959)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)
% 0.20/0.51 % (9972)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)
% 0.20/0.52 % (9960)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)
% 0.20/0.52 % (9974)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)
% 0.20/0.52 % (9962)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)
% 0.20/0.52 % (9958)First to succeed.
% 0.20/0.52 % (9981)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)
% 0.20/0.53 % (9967)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)
% 0.20/0.53 % (9971)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)
% 1.34/0.53 % (9977)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)
% 1.34/0.53 % (9961)Refutation not found, incomplete strategy% (9961)------------------------------
% 1.34/0.53 % (9961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (9961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (9961)Termination reason: Refutation not found, incomplete strategy
% 1.34/0.53
% 1.34/0.53 % (9961)Memory used [KB]: 5884
% 1.34/0.53 % (9961)Time elapsed: 0.130 s
% 1.34/0.53 % (9961)Instructions burned: 3 (million)
% 1.34/0.53 % (9961)------------------------------
% 1.34/0.53 % (9961)------------------------------
% 1.34/0.53 % (9971)Instruction limit reached!
% 1.34/0.53 % (9971)------------------------------
% 1.34/0.53 % (9971)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53 % (9971)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53 % (9971)Termination reason: Unknown
% 1.34/0.53 % (9971)Termination phase: Saturation
% 1.34/0.53
% 1.34/0.53 % (9971)Memory used [KB]: 5884
% 1.34/0.53 % (9971)Time elapsed: 0.005 s
% 1.34/0.53 % (9971)Instructions burned: 3 (million)
% 1.34/0.53 % (9971)------------------------------
% 1.34/0.53 % (9971)------------------------------
% 1.34/0.53 % (9978)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)
% 1.34/0.53 % (9983)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)
% 1.34/0.53 % (9969)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)
% 1.34/0.53 % (9975)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.34/0.54 % (9963)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.34/0.54 % (9976)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)
% 1.34/0.54 % (9968)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)
% 1.34/0.54 % (9966)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)
% 1.34/0.54 % (9984)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)
% 1.34/0.54 % (9964)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)
% 1.34/0.54 % (9960)Instruction limit reached!
% 1.34/0.54 % (9960)------------------------------
% 1.34/0.54 % (9960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (9960)Termination reason: Unknown
% 1.34/0.54 % (9960)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (9960)Memory used [KB]: 5884
% 1.34/0.54 % (9960)Time elapsed: 0.112 s
% 1.34/0.54 % (9960)Instructions burned: 4 (million)
% 1.34/0.54 % (9960)------------------------------
% 1.34/0.54 % (9960)------------------------------
% 1.34/0.54 % (9982)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)
% 1.34/0.54 % (9966)Instruction limit reached!
% 1.34/0.54 % (9966)------------------------------
% 1.34/0.54 % (9966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (9966)Termination reason: Unknown
% 1.34/0.54 % (9966)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (9966)Memory used [KB]: 5884
% 1.34/0.54 % (9966)Time elapsed: 0.133 s
% 1.34/0.54 % (9966)Instructions burned: 4 (million)
% 1.34/0.54 % (9966)------------------------------
% 1.34/0.54 % (9966)------------------------------
% 1.34/0.54 % (9970)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)
% 1.34/0.54 % (9974)Instruction limit reached!
% 1.34/0.54 % (9974)------------------------------
% 1.34/0.54 % (9974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.54 % (9974)Termination reason: Unknown
% 1.34/0.54 % (9974)Termination phase: Saturation
% 1.34/0.54
% 1.34/0.54 % (9974)Memory used [KB]: 5884
% 1.34/0.54 % (9974)Time elapsed: 0.004 s
% 1.34/0.54 % (9974)Instructions burned: 2 (million)
% 1.34/0.54 % (9974)------------------------------
% 1.34/0.54 % (9974)------------------------------
% 1.34/0.54 % (9982)Refutation not found, incomplete strategy% (9982)------------------------------
% 1.34/0.54 % (9982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9970)Instruction limit reached!
% 1.34/0.54 % (9970)------------------------------
% 1.34/0.54 % (9970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9975)Instruction limit reached!
% 1.34/0.54 % (9975)------------------------------
% 1.34/0.54 % (9975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.54 % (9977)Instruction limit reached!
% 1.34/0.54 % (9977)------------------------------
% 1.34/0.54 % (9977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (9977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (9977)Termination reason: Unknown
% 1.34/0.55 % (9977)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (9977)Memory used [KB]: 6012
% 1.34/0.55 % (9977)Time elapsed: 0.129 s
% 1.34/0.55 % (9977)Instructions burned: 7 (million)
% 1.34/0.55 % (9977)------------------------------
% 1.34/0.55 % (9977)------------------------------
% 1.34/0.55 % (9987)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)
% 1.34/0.55 % (9988)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)
% 1.34/0.55 % (9970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (9970)Termination reason: Unknown
% 1.34/0.55 % (9970)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (9970)Memory used [KB]: 5884
% 1.34/0.55 % (9970)Time elapsed: 0.136 s
% 1.34/0.55 % (9970)Instructions burned: 6 (million)
% 1.34/0.55 % (9970)------------------------------
% 1.34/0.55 % (9970)------------------------------
% 1.34/0.55 % (9985)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)
% 1.34/0.55 % (9968)Instruction limit reached!
% 1.34/0.55 % (9968)------------------------------
% 1.34/0.55 % (9968)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.55 % (9968)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (9968)Termination reason: Unknown
% 1.34/0.55 % (9968)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (9968)Memory used [KB]: 6012
% 1.34/0.55 % (9968)Time elapsed: 0.149 s
% 1.34/0.55 % (9968)Instructions burned: 7 (million)
% 1.34/0.55 % (9968)------------------------------
% 1.34/0.55 % (9968)------------------------------
% 1.34/0.55 % (9975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.55 % (9975)Termination reason: Unknown
% 1.34/0.55 % (9975)Termination phase: Saturation
% 1.34/0.55
% 1.34/0.55 % (9975)Memory used [KB]: 6012
% 1.34/0.55 % (9975)Time elapsed: 0.133 s
% 1.34/0.55 % (9975)Instructions burned: 10 (million)
% 1.34/0.55 % (9975)------------------------------
% 1.34/0.55 % (9975)------------------------------
% 1.34/0.55 % (9979)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)
% 1.59/0.55 % (9958)Refutation found. Thanks to Tanya!
% 1.59/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.59/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56 % (9958)------------------------------
% 1.59/0.56 % (9958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56 % (9958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56 % (9958)Termination reason: Refutation
% 1.59/0.56
% 1.59/0.56 % (9958)Memory used [KB]: 6140
% 1.59/0.56 % (9958)Time elapsed: 0.110 s
% 1.59/0.56 % (9958)Instructions burned: 20 (million)
% 1.59/0.56 % (9958)------------------------------
% 1.59/0.56 % (9958)------------------------------
% 1.59/0.56 % (9954)Success in time 0.192 s
%------------------------------------------------------------------------------