TSTP Solution File: GRP316-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP316-1 : 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_sat --cores 0 -t %d %s
% Computer : n005.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 16:21:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.54s
% Output : Refutation 1.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 62
% Syntax : Number of formulae : 296 ( 28 unt; 0 def)
% Number of atoms : 1153 ( 367 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1665 ( 808 ~; 840 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f806,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f95,f100,f105,f106,f115,f116,f121,f122,f131,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f163,f164,f295,f335,f378,f417,f458,f631,f663,f665,f688,f738,f748,f770,f786,f805]) ).
fof(f805,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f804]) ).
fof(f804,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_18
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f798,f709]) ).
fof(f709,plain,
( identity = inverse(identity)
| ~ spl11_18
| ~ spl11_19 ),
inference(backward_demodulation,[],[f351,f347]) ).
fof(f347,plain,
( identity = sk_c5
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl11_18
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_18])]) ).
fof(f351,plain,
( identity = inverse(sk_c5)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl11_19
<=> identity = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_19])]) ).
fof(f798,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f795]) ).
fof(f795,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f789,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f789,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f788,f573]) ).
fof(f573,plain,
( identity = sk_c8
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f504,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f504,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f477,f488]) ).
fof(f488,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f476,f487]) ).
fof(f487,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f42,f126]) ).
fof(f126,plain,
( sk_c7 = sF4
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl11_10
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f42,plain,
multiply(sk_c6,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f476,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl11_1
| ~ spl11_7 ),
inference(forward_demodulation,[],[f475,f81]) ).
fof(f81,plain,
( sk_c6 = sF2
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl11_1
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f475,plain,
( sk_c6 = multiply(sF2,sk_c8)
| ~ spl11_7 ),
inference(forward_demodulation,[],[f216,f110]) ).
fof(f110,plain,
( sk_c8 = sF9
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl11_7
<=> sk_c8 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f216,plain,
sk_c6 = multiply(sF2,sF9),
inference(forward_demodulation,[],[f207,f39]) ).
fof(f39,plain,
inverse(sk_c5) = sF2,
introduced(function_definition,[]) ).
fof(f207,plain,
sk_c6 = multiply(inverse(sk_c5),sF9),
inference(superposition,[],[f189,f53]) ).
fof(f53,plain,
multiply(sk_c5,sk_c6) = sF9,
introduced(function_definition,[]) ).
fof(f189,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f175,f1]) ).
fof(f175,plain,
! [X2,X3] : multiply(identity,X3) = multiply(inverse(X2),multiply(X2,X3)),
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(f477,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c7)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f204,f126]) ).
fof(f204,plain,
sk_c8 = multiply(inverse(sk_c6),sF4),
inference(superposition,[],[f189,f42]) ).
fof(f788,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c8 != multiply(X7,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f787,f647]) ).
fof(f647,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f488,f641]) ).
fof(f641,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f640,f573]) ).
fof(f640,plain,
( sk_c7 = sk_c8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f639,f625]) ).
fof(f625,plain,
( sk_c7 = sk_c4
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f624,f198]) ).
fof(f198,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f189,f1]) ).
fof(f624,plain,
( sk_c4 = multiply(inverse(identity),sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f465,f573]) ).
fof(f465,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c7)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f208,f90]) ).
fof(f90,plain,
( sk_c7 = sF6
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl11_3
<=> sk_c7 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f208,plain,
sk_c4 = multiply(inverse(sk_c8),sF6),
inference(superposition,[],[f189,f46]) ).
fof(f46,plain,
multiply(sk_c8,sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f639,plain,
( sk_c8 = sk_c4
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f479,f618]) ).
fof(f618,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f613,f198]) ).
fof(f613,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(identity),X0)
| ~ spl11_1
| ~ spl11_5
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f469,f573]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c8),X0)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f389,f99]) ).
fof(f99,plain,
( sk_c8 = sF8
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl11_5
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f389,plain,
! [X0] : multiply(inverse(sF8),X0) = multiply(sk_c3,X0),
inference(forward_demodulation,[],[f388,f1]) ).
fof(f388,plain,
! [X0] : multiply(inverse(sF8),multiply(identity,X0)) = multiply(sk_c3,X0),
inference(superposition,[],[f3,f209]) ).
fof(f209,plain,
sk_c3 = multiply(inverse(sF8),identity),
inference(superposition,[],[f189,f170]) ).
fof(f170,plain,
identity = multiply(sF8,sk_c3),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f479,plain,
( sk_c4 = multiply(sk_c3,sk_c8)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f36,f120]) ).
fof(f120,plain,
( sk_c4 = sF0
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl11_9
<=> sk_c4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f36,plain,
multiply(sk_c3,sk_c8) = sF0,
introduced(function_definition,[]) ).
fof(f787,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f134,f647]) ).
fof(f134,plain,
( ! [X7] :
( sk_c8 != multiply(X7,sk_c6)
| sk_c6 != inverse(X7) )
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl11_12
<=> ! [X7] :
( sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f786,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_13
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f785]) ).
fof(f785,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_13
| ~ spl11_18
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f780,f709]) ).
fof(f780,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f776,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f773,f1]) ).
fof(f773,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f772,f641]) ).
fof(f772,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f771,f573]) ).
fof(f771,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f137,f573]) ).
fof(f137,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl11_13
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f770,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f769,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14
| ~ spl11_18
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f763,f709]) ).
fof(f763,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f760]) ).
fof(f760,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f751,f1]) ).
fof(f751,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f750,f647]) ).
fof(f750,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f749,f641]) ).
fof(f749,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_14 ),
inference(forward_demodulation,[],[f140,f641]) ).
fof(f140,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,sk_c7) )
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl11_14
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f748,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15
| ~ spl11_18
| ~ spl11_19 ),
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f747,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15
| ~ spl11_18
| ~ spl11_19 ),
inference(subsumption_resolution,[],[f746,f709]) ).
fof(f746,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15
| ~ spl11_18
| ~ spl11_19 ),
inference(forward_demodulation,[],[f735,f709]) ).
fof(f735,plain,
( identity != inverse(inverse(identity))
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f728,f1]) ).
fof(f728,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f656,f2]) ).
fof(f656,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f620,f641]) ).
fof(f620,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(identity,multiply(X6,identity)) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f611,f573]) ).
fof(f611,plain,
( ! [X6] :
( sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| identity != inverse(X6) )
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10
| ~ spl11_15 ),
inference(backward_demodulation,[],[f143,f573]) ).
fof(f143,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8)) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl11_15
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f738,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f736,f691]) ).
fof(f691,plain,
( identity = inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f682,f690]) ).
fof(f690,plain,
( identity = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f689,f2]) ).
fof(f689,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f212,f641]) ).
fof(f212,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_4 ),
inference(superposition,[],[f189,f173]) ).
fof(f173,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl11_4 ),
inference(superposition,[],[f2,f168]) ).
fof(f168,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f48,f94]) ).
fof(f94,plain,
( sk_c7 = sF7
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_4
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f48,plain,
inverse(sk_c2) = sF7,
introduced(function_definition,[]) ).
fof(f682,plain,
( identity = inverse(sk_c2)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f168,f641]) ).
fof(f736,plain,
( identity != inverse(identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_15 ),
inference(forward_demodulation,[],[f735,f691]) ).
fof(f688,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f687,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f686,f647]) ).
fof(f686,plain,
( identity != sk_c6
| ~ spl11_1
| spl11_2
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f84,f674]) ).
fof(f674,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f673,f1]) ).
fof(f673,plain,
( sF3 = multiply(identity,identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f672,f641]) ).
fof(f672,plain,
( sF3 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(forward_demodulation,[],[f41,f573]) ).
fof(f41,plain,
multiply(sk_c7,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f84,plain,
( sk_c6 != sF3
| spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl11_2
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f665,plain,
( spl11_19
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f654,f124,f118,f108,f97,f88,f79,f350]) ).
fof(f654,plain,
( identity = inverse(sk_c5)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f501,f641]) ).
fof(f501,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f464,f488]) ).
fof(f464,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f39,f81]) ).
fof(f663,plain,
( spl11_18
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f662,f124,f118,f108,f97,f88,f79,f346]) ).
fof(f662,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f653,f2]) ).
fof(f653,plain,
( sk_c5 = multiply(inverse(identity),identity)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f498,f641]) ).
fof(f498,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl11_1
| ~ spl11_7
| ~ spl11_10 ),
inference(backward_demodulation,[],[f461,f488]) ).
fof(f461,plain,
( sk_c5 = multiply(inverse(sk_c6),identity)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f210,f81]) ).
fof(f210,plain,
sk_c5 = multiply(inverse(sF2),identity),
inference(superposition,[],[f189,f171]) ).
fof(f171,plain,
identity = multiply(sF2,sk_c5),
inference(superposition,[],[f2,f39]) ).
fof(f631,plain,
( spl11_8
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f630,f128,f124,f118,f108,f97,f88,f79,f112]) ).
fof(f112,plain,
( spl11_8
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f128,plain,
( spl11_11
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f630,plain,
( sk_c7 = sF10
| ~ spl11_1
| ~ spl11_3
| ~ spl11_5
| ~ spl11_7
| ~ spl11_9
| ~ spl11_10
| ~ spl11_11 ),
inference(forward_demodulation,[],[f485,f625]) ).
fof(f485,plain,
( sk_c4 = sF10
| ~ spl11_5
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f484,f479]) ).
fof(f484,plain,
( multiply(sk_c3,sk_c8) = sF10
| ~ spl11_5
| ~ spl11_11 ),
inference(backward_demodulation,[],[f56,f480]) ).
fof(f480,plain,
( sk_c3 = sk_c1
| ~ spl11_5
| ~ spl11_11 ),
inference(forward_demodulation,[],[f211,f471]) ).
fof(f471,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_5 ),
inference(backward_demodulation,[],[f209,f99]) ).
fof(f211,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl11_11 ),
inference(superposition,[],[f189,f172]) ).
fof(f172,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl11_11 ),
inference(superposition,[],[f2,f167]) ).
fof(f167,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f37,f130]) ).
fof(f130,plain,
( sk_c8 = sF1
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f37,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f56,plain,
multiply(sk_c1,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f458,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f456,f263]) ).
fof(f263,plain,
( identity = inverse(identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f227,f239]) ).
fof(f239,plain,
( identity = sk_c2
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f235,f2]) ).
fof(f235,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f212,f221]) ).
fof(f221,plain,
( identity = sk_c7
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f219,f2]) ).
fof(f219,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f189,f214]) ).
fof(f214,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f206,f167]) ).
fof(f206,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl11_8 ),
inference(superposition,[],[f189,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f56,f114]) ).
fof(f114,plain,
( sk_c7 = sF10
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f227,plain,
( identity = inverse(sk_c2)
| ~ spl11_4
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f168,f221]) ).
fof(f456,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f426,f1]) ).
fof(f426,plain,
( identity != multiply(identity,identity)
| identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(superposition,[],[f421,f1]) ).
fof(f421,plain,
( ! [X6] :
( identity != multiply(identity,multiply(X6,identity))
| identity != inverse(X6) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f420,f221]) ).
fof(f420,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(identity,multiply(X6,identity)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f419,f265]) ).
fof(f265,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f236,f257]) ).
fof(f257,plain,
( ! [X9] : multiply(sk_c8,X9) = X9
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f256,f1]) ).
fof(f256,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c8,X9)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f255,f242]) ).
fof(f242,plain,
( identity = sk_c6
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f241,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f228,f239]) ).
fof(f228,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f169,f221]) ).
fof(f169,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl11_6 ),
inference(backward_demodulation,[],[f44,f104]) ).
fof(f104,plain,
( sk_c6 = sF5
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl11_6
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f44,plain,
multiply(sk_c2,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f255,plain,
( ! [X9] : multiply(sk_c8,X9) = multiply(sk_c6,X9)
| ~ spl11_2
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f231,f1]) ).
fof(f231,plain,
( ! [X9] : multiply(sk_c6,X9) = multiply(identity,multiply(sk_c8,X9))
| ~ spl11_2
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f178,f221]) ).
fof(f178,plain,
( ! [X9] : multiply(sk_c7,multiply(sk_c8,X9)) = multiply(sk_c6,X9)
| ~ spl11_2 ),
inference(superposition,[],[f3,f165]) ).
fof(f165,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl11_2 ),
inference(backward_demodulation,[],[f41,f85]) ).
fof(f85,plain,
( sk_c6 = sF3
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f236,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f214,f221]) ).
fof(f419,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8)) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_15 ),
inference(forward_demodulation,[],[f143,f265]) ).
fof(f417,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f400,f263]) ).
fof(f400,plain,
( identity != inverse(identity)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(trivial_inequality_removal,[],[f397]) ).
fof(f397,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(superposition,[],[f386,f1]) ).
fof(f386,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f385,f221]) ).
fof(f385,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f384,f242]) ).
fof(f384,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl11_8
| ~ spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f140,f221]) ).
fof(f378,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f377,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f371,f263]) ).
fof(f371,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(superposition,[],[f356,f1]) ).
fof(f356,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f355,f221]) ).
fof(f355,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f354,f265]) ).
fof(f354,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_13 ),
inference(forward_demodulation,[],[f137,f265]) ).
fof(f335,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f334,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f333,f263]) ).
fof(f333,plain,
( identity != inverse(identity)
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f329,f263]) ).
fof(f329,plain,
( identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(trivial_inequality_removal,[],[f327]) ).
fof(f327,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(superposition,[],[f303,f2]) ).
fof(f303,plain,
( ! [X7] :
( identity != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f302,f265]) ).
fof(f302,plain,
( ! [X7] :
( sk_c8 != multiply(X7,identity)
| identity != inverse(X7) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f301,f242]) ).
fof(f301,plain,
( ! [X7] :
( sk_c6 != inverse(X7)
| sk_c8 != multiply(X7,identity) )
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f134,f242]) ).
fof(f295,plain,
( ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| spl11_10
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| spl11_10
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f224,f274]) ).
fof(f274,plain,
( identity = sF4
| ~ spl11_2
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f253,f265]) ).
fof(f253,plain,
( sk_c8 = sF4
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f243,plain,
( sF4 = multiply(identity,sk_c8)
| ~ spl11_4
| ~ spl11_6
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f42,f242]) ).
fof(f224,plain,
( identity != sF4
| ~ spl11_8
| spl11_10
| ~ spl11_11 ),
inference(backward_demodulation,[],[f125,f221]) ).
fof(f125,plain,
( sk_c7 != sF4
| spl11_10 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f164,plain,
( spl11_9
| spl11_6 ),
inference(avatar_split_clause,[],[f73,f102,f118]) ).
fof(f73,plain,
( sk_c6 = sF5
| sk_c4 = sF0 ),
inference(definition_folding,[],[f24,f44,f36]) ).
fof(f24,axiom,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f163,plain,
( spl11_7
| spl11_2 ),
inference(avatar_split_clause,[],[f69,f83,f108]) ).
fof(f69,plain,
( sk_c6 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f8,f53,f41]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f162,plain,
( spl11_7
| spl11_6 ),
inference(avatar_split_clause,[],[f65,f102,f108]) ).
fof(f65,plain,
( sk_c6 = sF5
| sk_c8 = sF9 ),
inference(definition_folding,[],[f26,f44,f53]) ).
fof(f26,axiom,
( sk_c8 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f161,plain,
( spl11_9
| spl11_8 ),
inference(avatar_split_clause,[],[f59,f112,f118]) ).
fof(f59,plain,
( sk_c7 = sF10
| sk_c4 = sF0 ),
inference(definition_folding,[],[f12,f56,f36]) ).
fof(f12,axiom,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f160,plain,
( spl11_9
| spl11_2 ),
inference(avatar_split_clause,[],[f71,f83,f118]) ).
fof(f71,plain,
( sk_c6 = sF3
| sk_c4 = sF0 ),
inference(definition_folding,[],[f6,f36,f41]) ).
fof(f6,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f159,plain,
( spl11_8
| spl11_5 ),
inference(avatar_split_clause,[],[f60,f97,f112]) ).
fof(f60,plain,
( sk_c8 = sF8
| sk_c7 = sF10 ),
inference(definition_folding,[],[f13,f50,f56]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f158,plain,
( spl11_3
| spl11_8 ),
inference(avatar_split_clause,[],[f57,f112,f88]) ).
fof(f57,plain,
( sk_c7 = sF10
| sk_c7 = sF6 ),
inference(definition_folding,[],[f11,f46,f56]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f157,plain,
( spl11_4
| spl11_7 ),
inference(avatar_split_clause,[],[f75,f108,f92]) ).
fof(f75,plain,
( sk_c8 = sF9
| sk_c7 = sF7 ),
inference(definition_folding,[],[f32,f53,f48]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f156,plain,
( spl11_2
| spl11_10 ),
inference(avatar_split_clause,[],[f58,f124,f83]) ).
fof(f58,plain,
( sk_c7 = sF4
| sk_c6 = sF3 ),
inference(definition_folding,[],[f4,f42,f41]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f155,plain,
( spl11_8
| spl11_1 ),
inference(avatar_split_clause,[],[f67,f79,f112]) ).
fof(f67,plain,
( sk_c6 = sF2
| sk_c7 = sF10 ),
inference(definition_folding,[],[f15,f39,f56]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f154,plain,
( spl11_7
| spl11_11 ),
inference(avatar_split_clause,[],[f54,f128,f108]) ).
fof(f54,plain,
( sk_c8 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f20,f53,f37]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f153,plain,
( spl11_11
| spl11_9 ),
inference(avatar_split_clause,[],[f38,f118,f128]) ).
fof(f38,plain,
( sk_c4 = sF0
| sk_c8 = sF1 ),
inference(definition_folding,[],[f18,f37,f36]) ).
fof(f18,axiom,
( sk_c4 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f152,plain,
( spl11_10
| spl11_4 ),
inference(avatar_split_clause,[],[f49,f92,f124]) ).
fof(f49,plain,
( sk_c7 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f28,f42,f48]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f151,plain,
( spl11_1
| spl11_11 ),
inference(avatar_split_clause,[],[f40,f128,f79]) ).
fof(f40,plain,
( sk_c8 = sF1
| sk_c6 = sF2 ),
inference(definition_folding,[],[f21,f39,f37]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f150,plain,
( spl11_5
| spl11_6 ),
inference(avatar_split_clause,[],[f72,f102,f97]) ).
fof(f72,plain,
( sk_c6 = sF5
| sk_c8 = sF8 ),
inference(definition_folding,[],[f25,f44,f50]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f149,plain,
( spl11_1
| spl11_4 ),
inference(avatar_split_clause,[],[f64,f92,f79]) ).
fof(f64,plain,
( sk_c7 = sF7
| sk_c6 = sF2 ),
inference(definition_folding,[],[f33,f48,f39]) ).
fof(f33,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f148,plain,
( spl11_11
| spl11_3 ),
inference(avatar_split_clause,[],[f66,f88,f128]) ).
fof(f66,plain,
( sk_c7 = sF6
| sk_c8 = sF1 ),
inference(definition_folding,[],[f17,f46,f37]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f147,plain,
( spl11_11
| spl11_5 ),
inference(avatar_split_clause,[],[f68,f97,f128]) ).
fof(f68,plain,
( sk_c8 = sF8
| sk_c8 = sF1 ),
inference(definition_folding,[],[f19,f37,f50]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f146,plain,
( spl11_6
| spl11_10 ),
inference(avatar_split_clause,[],[f52,f124,f102]) ).
fof(f52,plain,
( sk_c7 = sF4
| sk_c6 = sF5 ),
inference(definition_folding,[],[f22,f42,f44]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f145,plain,
( spl11_8
| spl11_10 ),
inference(avatar_split_clause,[],[f77,f124,f112]) ).
fof(f77,plain,
( sk_c7 = sF4
| sk_c7 = sF10 ),
inference(definition_folding,[],[f10,f56,f42]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f144,plain,
( ~ spl11_10
| spl11_12
| ~ spl11_2
| spl11_13
| spl11_14
| spl11_15 ),
inference(avatar_split_clause,[],[f43,f142,f139,f136,f83,f133,f124]) ).
fof(f43,plain,
! [X3,X6,X7,X4] :
( sk_c8 != inverse(X6)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != sF3
| sk_c6 != inverse(X7)
| sk_c7 != sF4
| sk_c8 != inverse(X3)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c8 != multiply(X7,sk_c6) ),
inference(definition_folding,[],[f35,f42,f41]) ).
fof(f35,plain,
! [X3,X6,X7,X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X6,sk_c8))
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X7,sk_c6)
| sk_c8 != inverse(X3) ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(X6,sk_c8) != X5
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X6)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != inverse(X7)
| sk_c7 != multiply(sk_c8,X5)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != inverse(X4)
| sk_c8 != multiply(X7,sk_c6)
| sk_c8 != inverse(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f131,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f62,f128,f124]) ).
fof(f62,plain,
( sk_c8 = sF1
| sk_c7 = sF4 ),
inference(definition_folding,[],[f16,f37,f42]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f122,plain,
( spl11_2
| spl11_5 ),
inference(avatar_split_clause,[],[f61,f97,f83]) ).
fof(f61,plain,
( sk_c8 = sF8
| sk_c6 = sF3 ),
inference(definition_folding,[],[f7,f41,f50]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f121,plain,
( spl11_4
| spl11_9 ),
inference(avatar_split_clause,[],[f76,f118,f92]) ).
fof(f76,plain,
( sk_c4 = sF0
| sk_c7 = sF7 ),
inference(definition_folding,[],[f30,f36,f48]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f116,plain,
( spl11_2
| spl11_3 ),
inference(avatar_split_clause,[],[f47,f88,f83]) ).
fof(f47,plain,
( sk_c7 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f5,f46,f41]) ).
fof(f5,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f115,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f74,f112,f108]) ).
fof(f74,plain,
( sk_c7 = sF10
| sk_c8 = sF9 ),
inference(definition_folding,[],[f14,f53,f56]) ).
fof(f14,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f106,plain,
( spl11_6
| spl11_3 ),
inference(avatar_split_clause,[],[f70,f88,f102]) ).
fof(f70,plain,
( sk_c7 = sF6
| sk_c6 = sF5 ),
inference(definition_folding,[],[f23,f44,f46]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f105,plain,
( spl11_1
| spl11_6 ),
inference(avatar_split_clause,[],[f45,f102,f79]) ).
fof(f45,plain,
( sk_c6 = sF5
| sk_c6 = sF2 ),
inference(definition_folding,[],[f27,f39,f44]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f100,plain,
( spl11_5
| spl11_4 ),
inference(avatar_split_clause,[],[f51,f92,f97]) ).
fof(f51,plain,
( sk_c7 = sF7
| sk_c8 = sF8 ),
inference(definition_folding,[],[f31,f48,f50]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f95,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f63,f92,f88]) ).
fof(f63,plain,
( sk_c7 = sF7
| sk_c7 = sF6 ),
inference(definition_folding,[],[f29,f46,f48]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f86,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f55,f83,f79]) ).
fof(f55,plain,
( sk_c6 = sF3
| sk_c6 = sF2 ),
inference(definition_folding,[],[f9,f41,f39]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP316-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:24:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (15129)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.48 % (15113)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.50 % (15133)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (15117)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (15125)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (15138)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (15112)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.52 TRYING [3]
% 0.20/0.52 % (15118)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (15118)Instruction limit reached!
% 0.20/0.52 % (15118)------------------------------
% 0.20/0.52 % (15118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15118)Termination reason: Unknown
% 0.20/0.52 % (15118)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (15118)Memory used [KB]: 5500
% 0.20/0.52 % (15118)Time elapsed: 0.130 s
% 0.20/0.52 % (15118)Instructions burned: 7 (million)
% 0.20/0.52 % (15118)------------------------------
% 0.20/0.52 % (15118)------------------------------
% 0.20/0.52 % (15134)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.53 % (15129)First to succeed.
% 0.20/0.53 % (15141)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (15116)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (15114)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (15120)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (15130)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53 % (15115)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (15129)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.41/0.54 % (15129)------------------------------
% 1.41/0.54 % (15129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.54 % (15129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.54 % (15129)Termination reason: Refutation
% 1.41/0.54
% 1.41/0.54 % (15129)Memory used [KB]: 5884
% 1.41/0.54 % (15129)Time elapsed: 0.134 s
% 1.41/0.54 % (15129)Instructions burned: 23 (million)
% 1.41/0.54 % (15129)------------------------------
% 1.41/0.54 % (15129)------------------------------
% 1.41/0.54 % (15107)Success in time 0.184 s
%------------------------------------------------------------------------------