TSTP Solution File: GRP317-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP317-1 : 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 : n023.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 16:15:20 EDT 2022
% Result : Unsatisfiable 1.69s 0.61s
% Output : Refutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 70
% Syntax : Number of formulae : 304 ( 4 unt; 0 def)
% Number of atoms : 1511 ( 345 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 2359 (1152 ~;1189 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f864,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f93,f98,f99,f100,f109,f114,f119,f120,f121,f122,f128,f129,f134,f139,f144,f145,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f160,f161,f162,f164,f165,f166,f167,f168,f169,f170,f172,f173,f174,f175,f176,f179,f180,f181,f182,f183,f185,f186,f259,f282,f294,f306,f314,f322,f808,f824,f832,f840,f857,f863]) ).
fof(f863,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f862,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f861]) ).
fof(f861,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f860,f789]) ).
fof(f789,plain,
( identity = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f680,f785]) ).
fof(f785,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f777,f783]) ).
fof(f783,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f774,f775]) ).
fof(f775,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f763,f772]) ).
fof(f772,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f757,f771]) ).
fof(f771,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f697,f764]) ).
fof(f764,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f691,f761]) ).
fof(f761,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f699,f755]) ).
fof(f755,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f743,f741]) ).
fof(f741,plain,
( sk_c1 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f699,f690]) ).
fof(f690,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f328,f680]) ).
fof(f328,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f2,f149]) ).
fof(f149,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_19
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f743,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f699,f689]) ).
fof(f689,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f326,f680]) ).
fof(f326,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f2,f118]) ).
fof(f118,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl0_14
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f699,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f528,f680]) ).
fof(f528,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c9,X0)) = X0
| ~ spl0_14
| ~ spl0_17 ),
inference(backward_demodulation,[],[f346,f527]) ).
fof(f527,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f526,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f3,f523]) ).
fof(f523,plain,
( sk_c4 = multiply(sk_c9,identity)
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f344,f327]) ).
fof(f327,plain,
( identity = multiply(sk_c3,sk_c4)
| ~ spl0_17 ),
inference(superposition,[],[f2,f138]) ).
fof(f138,plain,
( inverse(sk_c4) = sk_c3
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl0_17
<=> inverse(sk_c4) = sk_c3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f343,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl0_14 ),
inference(superposition,[],[f3,f326]) ).
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(f346,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f345,f1]) ).
fof(f345,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c4,X0))
| ~ spl0_17 ),
inference(superposition,[],[f3,f327]) ).
fof(f691,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f333,f680]) ).
fof(f333,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
| ~ spl0_10 ),
inference(superposition,[],[f3,f97]) ).
fof(f97,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f697,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f523,f680]) ).
fof(f757,plain,
( identity = multiply(sk_c1,sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f327,f755]) ).
fof(f763,plain,
( sk_c1 = multiply(sk_c1,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f741,f755]) ).
fof(f774,plain,
( sk_c1 = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f756,f771]) ).
fof(f756,plain,
( sk_c1 = inverse(sk_c4)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f138,f755]) ).
fof(f777,plain,
( sk_c8 = inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f687,f775]) ).
fof(f687,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f149,f680]) ).
fof(f680,plain,
( sk_c8 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f529,f672]) ).
fof(f672,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_16 ),
inference(backward_demodulation,[],[f62,f671]) ).
fof(f671,plain,
( sk_c8 = sk_c7
| ~ spl0_4
| ~ spl0_11
| ~ spl0_16 ),
inference(backward_demodulation,[],[f73,f520]) ).
fof(f520,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f342,f133]) ).
fof(f133,plain,
( sk_c9 = multiply(sk_c2,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl0_16
<=> sk_c9 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f341,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f323]) ).
fof(f323,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f104]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f73,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_4
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl0_1
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f529,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_10
| ~ spl0_19 ),
inference(superposition,[],[f348,f97]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_19 ),
inference(forward_demodulation,[],[f347,f1]) ).
fof(f347,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_19 ),
inference(superposition,[],[f3,f328]) ).
fof(f860,plain,
( identity != sk_c9
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f859,f1]) ).
fof(f859,plain,
( sk_c9 != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f858,f785]) ).
fof(f858,plain,
( sk_c9 != multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f81,f787]) ).
fof(f787,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f671,f785]) ).
fof(f81,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f857,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f856,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f855]) ).
fof(f855,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f851,f783]) ).
fof(f851,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f850]) ).
fof(f850,plain,
( identity != inverse(identity)
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f843,f783]) ).
fof(f843,plain,
( identity != inverse(inverse(identity))
| identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f842,f1]) ).
fof(f842,plain,
( ! [X5] :
( inverse(X5) != multiply(X5,identity)
| identity != inverse(inverse(X5)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f841,f789]) ).
fof(f841,plain,
( ! [X5] :
( inverse(X5) != multiply(X5,sk_c9)
| identity != inverse(inverse(X5)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f84,f789]) ).
fof(f84,plain,
( ! [X5] :
( sk_c9 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c9) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_7
<=> ! [X5] :
( sk_c9 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f840,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f838]) ).
fof(f838,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f837,f1]) ).
fof(f837,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f836]) ).
fof(f836,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f835,f783]) ).
fof(f835,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f834,f789]) ).
fof(f834,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f833,f785]) ).
fof(f833,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| identity != inverse(X4) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f70,f785]) ).
fof(f70,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_3
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f832,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f830]) ).
fof(f830,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f829,f1]) ).
fof(f829,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f828]) ).
fof(f828,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f827,f783]) ).
fof(f827,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f826,f785]) ).
fof(f826,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f825,f789]) ).
fof(f825,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f77,f789]) ).
fof(f77,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_5
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f824,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f821,f1]) ).
fof(f821,plain,
( identity != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f820]) ).
fof(f820,plain,
( identity != multiply(identity,identity)
| identity != identity
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f813,f783]) ).
fof(f813,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f812,f789]) ).
fof(f812,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f811,f787]) ).
fof(f811,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f87,f789]) ).
fof(f87,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c9)
| sk_c9 != inverse(X8) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_8
<=> ! [X8] :
( sk_c9 != inverse(X8)
| sk_c7 != multiply(X8,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f808,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f806]) ).
fof(f806,plain,
( identity != identity
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f788,f783]) ).
fof(f788,plain,
( identity != inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(backward_demodulation,[],[f673,f785]) ).
fof(f673,plain,
( sk_c8 != inverse(sk_c8)
| spl0_2
| ~ spl0_4
| ~ spl0_11
| ~ spl0_16 ),
inference(backward_demodulation,[],[f67,f671]) ).
fof(f67,plain,
( sk_c7 != inverse(sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f322,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f320]) ).
fof(f320,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f319,f1]) ).
fof(f319,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f318]) ).
fof(f318,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f317,f277]) ).
fof(f277,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f247,f269]) ).
fof(f269,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f249,f236]) ).
fof(f236,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f207,f235]) ).
fof(f235,plain,
( sk_c8 = sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f233,f1]) ).
fof(f233,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f92,f230]) ).
fof(f230,plain,
( identity = sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f226,f207]) ).
fof(f226,plain,
( sk_c5 = multiply(sk_c9,identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f200,f219]) ).
fof(f219,plain,
( sk_c9 = sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f217,f1]) ).
fof(f217,plain,
( sk_c7 = multiply(identity,sk_c9)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f143,f213]) ).
fof(f213,plain,
( identity = sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f189,f207]) ).
fof(f189,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f2,f113]) ).
fof(f113,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_13
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f143,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_18
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f200,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f194,f188]) ).
fof(f188,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f187]) ).
fof(f187,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f2,f66]) ).
fof(f66,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f92,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_9
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f207,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12 ),
inference(backward_demodulation,[],[f190,f206]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_2
| ~ spl0_12 ),
inference(backward_demodulation,[],[f196,f205]) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,X0)
| ~ spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c5,X0)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f3,f200]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f195,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f188]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f80]) ).
fof(f80,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f249,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f223,f235]) ).
fof(f223,plain,
( identity = multiply(sk_c9,sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f187,f219]) ).
fof(f247,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f221,f235]) ).
fof(f221,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f66,f219]) ).
fof(f317,plain,
( ! [X8] :
( identity != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f316,f274]) ).
fof(f274,plain,
( identity = sk_c9
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f235,f269]) ).
fof(f316,plain,
( ! [X8] :
( sk_c9 != inverse(X8)
| identity != multiply(X8,identity) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f315,f276]) ).
fof(f276,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f237,f269]) ).
fof(f237,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(backward_demodulation,[],[f219,f235]) ).
fof(f315,plain,
( ! [X8] :
( sk_c7 != multiply(X8,identity)
| sk_c9 != inverse(X8) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f87,f274]) ).
fof(f314,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f313]) ).
fof(f313,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f312,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f311,f1]) ).
fof(f311,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f310]) ).
fof(f310,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f309,f277]) ).
fof(f309,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != multiply(X3,identity) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f308,f274]) ).
fof(f308,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f307,f269]) ).
fof(f307,plain,
( ! [X3] :
( sk_c8 != multiply(X3,identity)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f77,f274]) ).
fof(f306,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f305,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f304]) ).
fof(f304,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f302,f277]) ).
fof(f302,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f301,f277]) ).
fof(f301,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f300]) ).
fof(f300,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f297,f277]) ).
fof(f297,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f296,f1]) ).
fof(f296,plain,
( ! [X5] :
( inverse(X5) != multiply(X5,identity)
| identity != inverse(inverse(X5)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f295,f274]) ).
fof(f295,plain,
( ! [X5] :
( identity != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c9) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f84,f274]) ).
fof(f294,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f293]) ).
fof(f293,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f292]) ).
fof(f292,plain,
( identity != identity
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f291,f1]) ).
fof(f291,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
( identity != identity
| identity != multiply(identity,identity)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f285,f277]) ).
fof(f285,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f284,f269]) ).
fof(f284,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f283,f274]) ).
fof(f283,plain,
( ! [X4] :
( sk_c9 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f70,f269]) ).
fof(f282,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f281,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f280]) ).
fof(f280,plain,
( identity != identity
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f264,f269]) ).
fof(f264,plain,
( identity != sk_c8
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f263,f249]) ).
fof(f263,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f262,f235]) ).
fof(f262,plain,
( sk_c8 != multiply(sk_c8,sk_c9)
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(forward_demodulation,[],[f74,f237]) ).
fof(f74,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_4 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f259,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f258,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f257,plain,
( sk_c8 != sk_c8
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f212,f237]) ).
fof(f212,plain,
( sk_c8 != sk_c7
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12 ),
inference(superposition,[],[f63,f207]) ).
fof(f63,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl0_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f186,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f42,f136,f90]) ).
fof(f42,axiom,
( inverse(sk_c4) = sk_c3
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f185,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f36,f90,f102]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f183,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f39,f111,f102]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f182,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f50,f141,f116]) ).
fof(f50,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f181,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f46,f79,f116]) ).
fof(f46,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f180,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f116,f90]) ).
fof(f48,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f179,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f4,f72,f79]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f176,plain,
( spl0_19
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f79,f147]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f175,plain,
( spl0_17
| spl0_13 ),
inference(avatar_split_clause,[],[f45,f111,f136]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f174,plain,
( spl0_18
| spl0_10 ),
inference(avatar_split_clause,[],[f14,f95,f141]) ).
fof(f14,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f173,plain,
( spl0_1
| spl0_18 ),
inference(avatar_split_clause,[],[f26,f141,f61]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f172,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f141,f72]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f170,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f47,f116,f65]) ).
fof(f47,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f169,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f15,f111,f95]) ).
fof(f15,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f168,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f32,f141,f131]) ).
fof(f32,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f167,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f29,f131,f65]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f166,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f33,f131,f111]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c2,sk_c8)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f165,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f35,f102,f65]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f164,plain,
( spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f49,f106,f116]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f162,plain,
( spl0_19
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f65,f147]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f161,plain,
( spl0_2
| spl0_17 ),
inference(avatar_split_clause,[],[f41,f136,f65]) ).
fof(f41,axiom,
( inverse(sk_c4) = sk_c3
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f160,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f18,f147,f90]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f159,plain,
( spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f30,f90,f131]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f158,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f9,f72,f111]) ).
fof(f9,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f157,plain,
( spl0_16
| spl0_12 ),
inference(avatar_split_clause,[],[f31,f106,f131]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f156,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f79,f61]) ).
fof(f22,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f155,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f44,f141,f136]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f154,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f21,f147,f111]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f153,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f19,f147,f106]) ).
fof(f19,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f152,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f10,f95,f79]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c8,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f151,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f40,f79,f136]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| inverse(sk_c4) = sk_c3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f150,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f20,f147,f141]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f145,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f23,f65,f61]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c8)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f144,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f38,f141,f102]) ).
fof(f38,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f139,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f43,f136,f106]) ).
fof(f43,axiom,
( inverse(sk_c4) = sk_c3
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f134,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f79,f131]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f129,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f11,f95,f65]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f128,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f13,f95,f106]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f122,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f7,f106,f72]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f121,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f25,f106,f61]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f120,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f79,f102]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f119,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f51,f116,f111]) ).
fof(f51,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f114,plain,
( spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f27,f111,f61]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f109,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f37,f106,f102]) ).
fof(f37,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f100,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f72,f90]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f99,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f5,f72,f65]) ).
fof(f5,axiom,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = inverse(sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f98,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f12,f95,f90]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f93,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f24,f90,f61]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f88,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_3
| ~ spl0_6
| spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f59,f86,f83,f79,f69,f76,f72,f69,f65,f61]) ).
fof(f59,plain,
! [X3,X8,X7,X4,X5] :
( sk_c9 != inverse(X8)
| sk_c9 != inverse(inverse(X5))
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c9 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c7 != multiply(X8,sk_c9)
| sk_c7 != inverse(sk_c8)
| inverse(X5) != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,sk_c7) ),
inference(equality_resolution,[],[f58]) ).
fof(f58,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != multiply(sk_c8,sk_c7)
| sk_c9 != inverse(X6)
| inverse(X5) != X6
| multiply(X5,sk_c9) != X6
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != inverse(X4)
| sk_c7 != inverse(sk_c8)
| multiply(sk_c8,sk_c9) != sk_c7
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c7 != multiply(X8,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP317-1 : TPTP v8.1.0. Released v2.5.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n023.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 22:45:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (381)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.50 % (386)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.51 % (386)Instruction limit reached!
% 0.21/0.51 % (386)------------------------------
% 0.21/0.51 % (386)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (381)Instruction limit reached!
% 0.21/0.51 % (381)------------------------------
% 0.21/0.51 % (381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (394)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.21/0.51 % (386)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (386)Termination reason: Unknown
% 0.21/0.51 % (386)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (386)Memory used [KB]: 6012
% 0.21/0.51 % (386)Time elapsed: 0.100 s
% 0.21/0.51 % (386)Instructions burned: 8 (million)
% 0.21/0.51 % (386)------------------------------
% 0.21/0.51 % (386)------------------------------
% 0.21/0.51 % (381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (381)Termination reason: Unknown
% 0.21/0.51 % (381)Termination phase: Saturation
% 0.21/0.51
% 0.21/0.51 % (381)Memory used [KB]: 5884
% 0.21/0.51 % (381)Time elapsed: 0.105 s
% 0.21/0.51 % (381)Instructions burned: 5 (million)
% 0.21/0.51 % (381)------------------------------
% 0.21/0.51 % (381)------------------------------
% 0.21/0.52 % (378)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (397)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.21/0.52 % (389)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.52 % (369)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.53 % (390)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.21/0.53 % (389)Instruction limit reached!
% 0.21/0.53 % (389)------------------------------
% 0.21/0.53 % (389)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (389)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (389)Termination reason: Unknown
% 0.21/0.53 % (389)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (389)Memory used [KB]: 1407
% 0.21/0.53 % (389)Time elapsed: 0.005 s
% 0.21/0.53 % (389)Instructions burned: 6 (million)
% 0.21/0.53 % (389)------------------------------
% 0.21/0.53 % (389)------------------------------
% 0.21/0.53 % (370)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.53 % (398)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53 % (372)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.21/0.53 % (373)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.21/0.53 % (371)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.53 % (388)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (371)Instruction limit reached!
% 0.21/0.54 % (371)------------------------------
% 0.21/0.54 % (371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (371)Termination reason: Unknown
% 0.21/0.54 % (371)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (371)Memory used [KB]: 5884
% 0.21/0.54 % (371)Time elapsed: 0.003 s
% 0.21/0.54 % (371)Instructions burned: 4 (million)
% 0.21/0.54 % (371)------------------------------
% 0.21/0.54 % (371)------------------------------
% 0.21/0.54 % (376)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (380)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.21/0.54 % (391)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.54 % (384)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.54 % (383)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.55 % (379)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.55 % (395)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.21/0.55 % (397)Instruction limit reached!
% 0.21/0.55 % (397)------------------------------
% 0.21/0.55 % (397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (397)Termination reason: Unknown
% 0.21/0.55 % (397)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (397)Memory used [KB]: 6396
% 0.21/0.55 % (397)Time elapsed: 0.151 s
% 0.21/0.55 % (397)Instructions burned: 20 (million)
% 0.21/0.55 % (397)------------------------------
% 0.21/0.55 % (397)------------------------------
% 0.21/0.55 % (390)Refutation not found, incomplete strategy% (390)------------------------------
% 0.21/0.55 % (390)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (390)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (390)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.55
% 0.21/0.55 % (390)Memory used [KB]: 6012
% 0.21/0.55 % (390)Time elapsed: 0.151 s
% 0.21/0.55 % (390)Instructions burned: 9 (million)
% 0.21/0.55 % (390)------------------------------
% 0.21/0.55 % (390)------------------------------
% 0.21/0.55 % (385)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.55 % (377)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.55 % (385)Instruction limit reached!
% 0.21/0.55 % (385)------------------------------
% 0.21/0.55 % (385)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (385)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (377)Instruction limit reached!
% 0.21/0.55 % (377)------------------------------
% 0.21/0.55 % (377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (385)Termination reason: Unknown
% 0.21/0.55 % (385)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (377)Termination reason: Unknown
% 0.21/0.55 % (377)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (385)Memory used [KB]: 1407
% 0.21/0.55 % (385)Time elapsed: 0.002 s
% 0.21/0.55 % (385)Instructions burned: 3 (million)
% 0.21/0.55 % (377)Memory used [KB]: 5884
% 0.21/0.55 % (385)------------------------------
% 0.21/0.55 % (385)------------------------------
% 0.21/0.55 % (377)Time elapsed: 0.002 s
% 0.21/0.55 % (377)Instructions burned: 3 (million)
% 0.21/0.55 % (377)------------------------------
% 0.21/0.55 % (377)------------------------------
% 1.49/0.55 % (372)Refutation not found, incomplete strategy% (372)------------------------------
% 1.49/0.55 % (372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.55 % (372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.55 % (372)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.55
% 1.49/0.55 % (372)Memory used [KB]: 6012
% 1.49/0.55 % (372)Time elapsed: 0.143 s
% 1.49/0.55 % (372)Instructions burned: 6 (million)
% 1.49/0.55 % (372)------------------------------
% 1.49/0.55 % (372)------------------------------
% 1.49/0.56 % (396)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.49/0.56 % (382)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)
% 1.49/0.56 % (382)Instruction limit reached!
% 1.49/0.56 % (382)------------------------------
% 1.49/0.56 % (382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (382)Termination reason: Unknown
% 1.49/0.56 % (382)Termination phase: Property scanning
% 1.49/0.56
% 1.49/0.56 % (382)Memory used [KB]: 1279
% 1.49/0.56 % (382)Time elapsed: 0.002 s
% 1.49/0.56 % (382)Instructions burned: 3 (million)
% 1.49/0.56 % (382)------------------------------
% 1.49/0.56 % (382)------------------------------
% 1.49/0.56 % (393)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)
% 1.49/0.56 % (374)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.49/0.56 % (392)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)
% 1.49/0.56 % (392)Refutation not found, incomplete strategy% (392)------------------------------
% 1.49/0.56 % (392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (392)Termination reason: Refutation not found, incomplete strategy
% 1.49/0.56
% 1.49/0.56 % (392)Memory used [KB]: 5884
% 1.49/0.56 % (392)Time elapsed: 0.157 s
% 1.49/0.56 % (392)Instructions burned: 6 (million)
% 1.49/0.56 % (392)------------------------------
% 1.49/0.56 % (392)------------------------------
% 1.49/0.56 % (388)Instruction limit reached!
% 1.49/0.56 % (388)------------------------------
% 1.49/0.56 % (388)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (388)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (388)Termination reason: Unknown
% 1.49/0.56 % (388)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (388)Memory used [KB]: 6012
% 1.49/0.56 % (388)Time elapsed: 0.137 s
% 1.49/0.56 % (388)Instructions burned: 7 (million)
% 1.49/0.56 % (388)------------------------------
% 1.49/0.56 % (388)------------------------------
% 1.49/0.56 % (387)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)
% 1.49/0.56 % (379)Instruction limit reached!
% 1.49/0.56 % (379)------------------------------
% 1.49/0.56 % (379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (379)Termination reason: Unknown
% 1.49/0.56 % (379)Termination phase: Saturation
% 1.49/0.56
% 1.49/0.56 % (379)Memory used [KB]: 5884
% 1.49/0.56 % (379)Time elapsed: 0.156 s
% 1.49/0.56 % (379)Instructions burned: 6 (million)
% 1.49/0.56 % (379)------------------------------
% 1.49/0.56 % (379)------------------------------
% 1.49/0.56 % (384)Instruction limit reached!
% 1.49/0.56 % (384)------------------------------
% 1.49/0.56 % (384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.56 % (384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.56 % (384)Termination reason: Unknown
% 1.49/0.56 % (384)Termination phase: Finite model building preprocessing
% 1.49/0.56
% 1.49/0.56 % (384)Memory used [KB]: 1535
% 1.49/0.56 % (384)Time elapsed: 0.005 s
% 1.49/0.56 % (384)Instructions burned: 7 (million)
% 1.49/0.56 % (384)------------------------------
% 1.49/0.56 % (384)------------------------------
% 1.49/0.57 % (375)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)
% 1.49/0.57 % (380)Instruction limit reached!
% 1.49/0.57 % (380)------------------------------
% 1.49/0.57 % (380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.57 % (380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.57 % (380)Termination reason: Unknown
% 1.49/0.57 % (380)Termination phase: Saturation
% 1.49/0.57
% 1.49/0.57 % (380)Memory used [KB]: 6268
% 1.49/0.57 % (380)Time elapsed: 0.173 s
% 1.49/0.57 % (380)Instructions burned: 25 (million)
% 1.49/0.57 % (380)------------------------------
% 1.49/0.57 % (380)------------------------------
% 1.69/0.58 % (373)Instruction limit reached!
% 1.69/0.58 % (373)------------------------------
% 1.69/0.58 % (373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (373)Termination reason: Unknown
% 1.69/0.58 % (373)Termination phase: Saturation
% 1.69/0.58
% 1.69/0.58 % (373)Memory used [KB]: 6396
% 1.69/0.58 % (373)Time elapsed: 0.178 s
% 1.69/0.58 % (373)Instructions burned: 34 (million)
% 1.69/0.58 % (373)------------------------------
% 1.69/0.58 % (373)------------------------------
% 1.69/0.58 % (395)Refutation not found, incomplete strategy% (395)------------------------------
% 1.69/0.58 % (395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.58 % (395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.58 % (395)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.58
% 1.69/0.58 % (395)Memory used [KB]: 5884
% 1.69/0.58 % (395)Time elapsed: 0.186 s
% 1.69/0.58 % (395)Instructions burned: 5 (million)
% 1.69/0.58 % (395)------------------------------
% 1.69/0.58 % (395)------------------------------
% 1.69/0.59 % (378)Instruction limit reached!
% 1.69/0.59 % (378)------------------------------
% 1.69/0.59 % (378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (378)Termination reason: Unknown
% 1.69/0.59 % (378)Termination phase: Saturation
% 1.69/0.59
% 1.69/0.59 % (378)Memory used [KB]: 6652
% 1.69/0.59 % (378)Time elapsed: 0.180 s
% 1.69/0.59 % (378)Instructions burned: 53 (million)
% 1.69/0.59 % (378)------------------------------
% 1.69/0.59 % (378)------------------------------
% 1.69/0.60 % (374)Instruction limit reached!
% 1.69/0.60 % (374)------------------------------
% 1.69/0.60 % (374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (374)Termination reason: Unknown
% 1.69/0.60 % (374)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (374)Memory used [KB]: 6140
% 1.69/0.60 % (374)Time elapsed: 0.164 s
% 1.69/0.60 % (374)Instructions burned: 25 (million)
% 1.69/0.60 % (374)------------------------------
% 1.69/0.60 % (374)------------------------------
% 1.69/0.60 % (383)Instruction limit reached!
% 1.69/0.60 % (383)------------------------------
% 1.69/0.60 % (383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (383)Termination reason: Unknown
% 1.69/0.60 % (383)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (383)Memory used [KB]: 1663
% 1.69/0.60 % (383)Time elapsed: 0.148 s
% 1.69/0.60 % (383)Instructions burned: 29 (million)
% 1.69/0.60 % (383)------------------------------
% 1.69/0.60 % (383)------------------------------
% 1.69/0.60 % (370)Instruction limit reached!
% 1.69/0.60 % (370)------------------------------
% 1.69/0.60 % (370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.60 % (370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.60 % (370)Termination reason: Unknown
% 1.69/0.60 % (370)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (370)Memory used [KB]: 1663
% 1.69/0.60 % (370)Time elapsed: 0.196 s
% 1.69/0.60 % (370)Instructions burned: 43 (million)
% 1.69/0.60 % (370)------------------------------
% 1.69/0.60 % (370)------------------------------
% 1.69/0.61 % (387)First to succeed.
% 1.69/0.61 % (394)Instruction limit reached!
% 1.69/0.61 % (394)------------------------------
% 1.69/0.61 % (394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (394)Termination reason: Unknown
% 1.69/0.61 % (387)Refutation found. Thanks to Tanya!
% 1.69/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.69/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.69/0.61 % (387)------------------------------
% 1.69/0.61 % (387)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.61 % (387)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.61 % (387)Termination reason: Refutation
% 1.69/0.61
% 1.69/0.61 % (387)Memory used [KB]: 10746
% 1.69/0.61 % (387)Time elapsed: 0.210 s
% 1.69/0.61 % (387)Instructions burned: 27 (million)
% 1.69/0.61 % (387)------------------------------
% 1.69/0.61 % (387)------------------------------
% 1.69/0.61 % (368)Success in time 0.243 s
%------------------------------------------------------------------------------