TSTP Solution File: GRP220-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP220-1 : 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 : n001.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 16:20:56 EDT 2022
% Result : Unsatisfiable 0.18s 0.59s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 79
% Syntax : Number of formulae : 418 ( 47 unt; 0 def)
% Number of atoms : 1806 ( 591 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 2715 (1327 ~;1366 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 25 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1649,plain,
$false,
inference(avatar_sat_refutation,[],[f188,f197,f216,f225,f226,f241,f244,f245,f246,f252,f253,f254,f255,f263,f264,f265,f266,f269,f270,f272,f273,f274,f278,f279,f292,f296,f298,f302,f303,f304,f305,f307,f312,f314,f315,f317,f319,f320,f321,f322,f501,f547,f608,f724,f777,f831,f864,f897,f899,f911,f1051,f1070,f1085,f1534,f1568,f1602,f1648]) ).
fof(f1648,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f1647]) ).
fof(f1647,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1646,f1481]) ).
fof(f1481,plain,
( identity = inverse(identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1199,f1194]) ).
fof(f1194,plain,
( identity = sk_c11
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1088,f717]) ).
fof(f717,plain,
( identity = sk_c10
| ~ spl17_46 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl17_46
<=> identity = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_46])]) ).
fof(f1088,plain,
( sk_c11 = sk_c10
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1087,f1042]) ).
fof(f1042,plain,
( ! [X11] : multiply(sk_c11,X11) = X11
| ~ spl17_3
| ~ spl17_15
| ~ spl17_16
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1041,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f1041,plain,
( ! [X11] : multiply(sk_c11,X11) = multiply(identity,X11)
| ~ spl17_3
| ~ spl17_15
| ~ spl17_16
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1040,f554]) ).
fof(f554,plain,
( identity = sF13
| ~ spl17_25 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f553,plain,
( spl17_25
<=> identity = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f1040,plain,
( ! [X11] : multiply(sk_c11,X11) = multiply(sF13,X11)
| ~ spl17_3
| ~ spl17_15
| ~ spl17_16 ),
inference(forward_demodulation,[],[f346,f1011]) ).
fof(f1011,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl17_3
| ~ spl17_15
| ~ spl17_16 ),
inference(forward_demodulation,[],[f793,f938]) ).
fof(f938,plain,
( ! [X0] : multiply(sF4,X0) = X0
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f937,f1]) ).
fof(f937,plain,
( ! [X0] : multiply(sF4,multiply(identity,X0)) = X0
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f361,f810]) ).
fof(f810,plain,
( identity = sk_c12
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f807,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f807,plain,
( sk_c12 = multiply(inverse(sk_c10),sk_c10)
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f778,f183]) ).
fof(f183,plain,
( sk_c10 = sF16
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f181,plain,
( spl17_3
<=> sk_c10 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f778,plain,
( sk_c12 = multiply(inverse(sF16),sk_c10)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f696,f250]) ).
fof(f250,plain,
( sk_c12 = sF9
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl17_16
<=> sk_c12 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f696,plain,
multiply(inverse(sF16),sk_c10) = sF9,
inference(superposition,[],[f355,f433]) ).
fof(f433,plain,
sk_c10 = multiply(sF16,sF9),
inference(forward_demodulation,[],[f387,f110]) ).
fof(f110,plain,
inverse(sk_c7) = sF16,
introduced(function_definition,[]) ).
fof(f387,plain,
sk_c10 = multiply(inverse(sk_c7),sF9),
inference(superposition,[],[f355,f96]) ).
fof(f96,plain,
multiply(sk_c7,sk_c10) = sF9,
introduced(function_definition,[]) ).
fof(f355,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f342,f1]) ).
fof(f342,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f361,plain,
! [X0] : multiply(sF4,multiply(sk_c12,X0)) = X0,
inference(forward_demodulation,[],[f360,f1]) ).
fof(f360,plain,
! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c12,X0)),
inference(superposition,[],[f3,f333]) ).
fof(f333,plain,
identity = multiply(sF4,sk_c12),
inference(superposition,[],[f2,f87]) ).
fof(f87,plain,
inverse(sk_c12) = sF4,
introduced(function_definition,[]) ).
fof(f793,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sF4,X0)
| ~ spl17_15 ),
inference(backward_demodulation,[],[f789,f87]) ).
fof(f789,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c12),X0)
| ~ spl17_15 ),
inference(backward_demodulation,[],[f733,f239]) ).
fof(f239,plain,
( sk_c12 = sF6
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl17_15
<=> sk_c12 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f733,plain,
! [X0] : multiply(sk_c6,X0) = multiply(inverse(sF6),X0),
inference(forward_demodulation,[],[f732,f1]) ).
fof(f732,plain,
! [X0] : multiply(inverse(sF6),multiply(identity,X0)) = multiply(sk_c6,X0),
inference(superposition,[],[f3,f396]) ).
fof(f396,plain,
sk_c6 = multiply(inverse(sF6),identity),
inference(superposition,[],[f355,f334]) ).
fof(f334,plain,
identity = multiply(sF6,sk_c6),
inference(superposition,[],[f2,f91]) ).
fof(f91,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f346,plain,
! [X11] : multiply(sF13,X11) = multiply(sk_c6,multiply(sk_c11,X11)),
inference(superposition,[],[f3,f103]) ).
fof(f103,plain,
multiply(sk_c6,sk_c11) = sF13,
introduced(function_definition,[]) ).
fof(f1087,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(forward_demodulation,[],[f1086,f1018]) ).
fof(f1018,plain,
( sk_c11 = sF1
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(backward_demodulation,[],[f942,f1014]) ).
fof(f1014,plain,
( sk_c11 = sk_c7
| ~ spl17_3
| ~ spl17_23 ),
inference(backward_demodulation,[],[f805,f1013]) ).
fof(f1013,plain,
( sk_c11 = multiply(inverse(sk_c10),identity)
| ~ spl17_23 ),
inference(forward_demodulation,[],[f388,f542]) ).
fof(f542,plain,
( identity = sF14
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl17_23
<=> identity = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f388,plain,
sk_c11 = multiply(inverse(sk_c10),sF14),
inference(superposition,[],[f355,f105]) ).
fof(f105,plain,
multiply(sk_c10,sk_c11) = sF14,
introduced(function_definition,[]) ).
fof(f805,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f398,f183]) ).
fof(f398,plain,
sk_c7 = multiply(inverse(sF16),identity),
inference(superposition,[],[f355,f335]) ).
fof(f335,plain,
identity = multiply(sF16,sk_c7),
inference(superposition,[],[f2,f110]) ).
fof(f942,plain,
( sk_c7 = sF1
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9 ),
inference(forward_demodulation,[],[f210,f835]) ).
fof(f835,plain,
( sk_c7 = sk_c8
| ~ spl17_3
| ~ spl17_8 ),
inference(backward_demodulation,[],[f797,f805]) ).
fof(f797,plain,
( sk_c8 = multiply(inverse(sk_c10),identity)
| ~ spl17_8 ),
inference(backward_demodulation,[],[f397,f205]) ).
fof(f205,plain,
( sk_c10 = sF15
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl17_8
<=> sk_c10 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f397,plain,
sk_c8 = multiply(inverse(sF15),identity),
inference(superposition,[],[f355,f337]) ).
fof(f337,plain,
identity = multiply(sF15,sk_c8),
inference(superposition,[],[f2,f108]) ).
fof(f108,plain,
inverse(sk_c8) = sF15,
introduced(function_definition,[]) ).
fof(f210,plain,
( sk_c8 = sF1
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl17_9
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f1086,plain,
( sk_c10 = multiply(sF1,sk_c11)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_23 ),
inference(forward_demodulation,[],[f905,f1014]) ).
fof(f905,plain,
( sk_c10 = multiply(sF1,sk_c7)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8 ),
inference(backward_demodulation,[],[f402,f902]) ).
fof(f902,plain,
( sk_c7 = sF3
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8 ),
inference(forward_demodulation,[],[f196,f835]) ).
fof(f196,plain,
( sk_c8 = sF3
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl17_6
<=> sk_c8 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f402,plain,
sk_c10 = multiply(sF1,sF3),
inference(forward_demodulation,[],[f389,f82]) ).
fof(f82,plain,
inverse(sk_c9) = sF1,
introduced(function_definition,[]) ).
fof(f389,plain,
sk_c10 = multiply(inverse(sk_c9),sF3),
inference(superposition,[],[f355,f85]) ).
fof(f85,plain,
multiply(sk_c9,sk_c10) = sF3,
introduced(function_definition,[]) ).
fof(f1199,plain,
( sk_c11 = inverse(identity)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23
| ~ spl17_35 ),
inference(forward_demodulation,[],[f1019,f642]) ).
fof(f642,plain,
( identity = sk_c9
| ~ spl17_35 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl17_35
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_35])]) ).
fof(f1019,plain,
( sk_c11 = inverse(sk_c9)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(backward_demodulation,[],[f943,f1014]) ).
fof(f943,plain,
( sk_c7 = inverse(sk_c9)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9 ),
inference(backward_demodulation,[],[f82,f942]) ).
fof(f1646,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1642,f1481]) ).
fof(f1642,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(trivial_inequality_removal,[],[f1637]) ).
fof(f1637,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(superposition,[],[f1622,f2]) ).
fof(f1622,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1621,f1481]) ).
fof(f1621,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,identity) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1620,f1481]) ).
fof(f1620,plain,
( ! [X0] :
( identity != multiply(X0,inverse(identity))
| inverse(X0) != inverse(identity) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1619,f1481]) ).
fof(f1619,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1618,f1481]) ).
fof(f1618,plain,
( ! [X0] :
( identity != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1617,f1481]) ).
fof(f1617,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1616,f1481]) ).
fof(f1616,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1612,f380]) ).
fof(f380,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f355,f2]) ).
fof(f1612,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| identity != multiply(X0,inverse(inverse(identity)))
| identity != multiply(inverse(inverse(identity)),identity)
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(superposition,[],[f1605,f1]) ).
fof(f1605,plain,
( ! [X11,X9] :
( inverse(X11) != multiply(X11,inverse(inverse(X11)))
| inverse(X9) != inverse(inverse(X11))
| identity != multiply(inverse(inverse(X11)),identity)
| identity != multiply(X9,inverse(inverse(X11))) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1604,f810]) ).
fof(f1604,plain,
( ! [X11,X9] :
( identity != multiply(X9,inverse(inverse(X11)))
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| sk_c12 != multiply(inverse(inverse(X11)),identity)
| inverse(X9) != inverse(inverse(X11)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1603,f810]) ).
fof(f1603,plain,
( ! [X11,X9] :
( inverse(X11) != multiply(X11,inverse(inverse(X11)))
| inverse(X9) != inverse(inverse(X11))
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| sk_c12 != multiply(inverse(inverse(X11)),identity) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_20
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f288,f1194]) ).
fof(f288,plain,
( ! [X11,X9] :
( inverse(X9) != inverse(inverse(X11))
| sk_c12 != multiply(inverse(inverse(X11)),sk_c11)
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| sk_c12 != multiply(X9,inverse(inverse(X11))) )
| ~ spl17_20 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl17_20
<=> ! [X9,X11] :
( sk_c12 != multiply(inverse(inverse(X11)),sk_c11)
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| inverse(X9) != inverse(inverse(X11))
| sk_c12 != multiply(X9,inverse(inverse(X11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f1602,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1600,f1481]) ).
fof(f1600,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1587,f1481]) ).
fof(f1587,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(trivial_inequality_removal,[],[f1583]) ).
fof(f1583,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(superposition,[],[f1580,f2]) ).
fof(f1580,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1579,f810]) ).
fof(f1579,plain,
( ! [X8] :
( sk_c12 != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_18
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1578,f1194]) ).
fof(f1578,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c12 != multiply(X8,sk_c11) )
| ~ spl17_3
| ~ spl17_16
| ~ spl17_18 ),
inference(forward_demodulation,[],[f282,f810]) ).
fof(f282,plain,
( ! [X8] :
( sk_c12 != inverse(X8)
| sk_c12 != multiply(X8,sk_c11) )
| ~ spl17_18 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl17_18
<=> ! [X8] :
( sk_c12 != multiply(X8,sk_c11)
| sk_c12 != inverse(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f1568,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1566,f1]) ).
fof(f1566,plain,
( identity != multiply(identity,identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1553,f1481]) ).
fof(f1553,plain,
( identity != multiply(identity,inverse(identity))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(trivial_inequality_removal,[],[f1551]) ).
fof(f1551,plain,
( identity != multiply(identity,inverse(identity))
| identity != identity
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(superposition,[],[f1539,f2]) ).
fof(f1539,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1538,f1194]) ).
fof(f1538,plain,
( ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_19
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1537,f1194]) ).
fof(f1537,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),identity)
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl17_3
| ~ spl17_16
| ~ spl17_19 ),
inference(forward_demodulation,[],[f285,f810]) ).
fof(f285,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f284,plain,
( spl17_19
<=> ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f1534,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1533,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1532,f1481]) ).
fof(f1532,plain,
( identity != inverse(identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_35
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1531,f1481]) ).
fof(f1531,plain,
( identity != inverse(inverse(identity))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(subsumption_resolution,[],[f1527,f1]) ).
fof(f1527,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(superposition,[],[f1486,f2]) ).
fof(f1486,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_21
| ~ spl17_23
| ~ spl17_25
| ~ spl17_46 ),
inference(forward_demodulation,[],[f1485,f1194]) ).
fof(f1485,plain,
( ! [X7] :
( sk_c11 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl17_3
| ~ spl17_16
| ~ spl17_21 ),
inference(forward_demodulation,[],[f1484,f810]) ).
fof(f1484,plain,
( ! [X7] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(identity,multiply(X7,identity)) )
| ~ spl17_3
| ~ spl17_16
| ~ spl17_21 ),
inference(forward_demodulation,[],[f291,f810]) ).
fof(f291,plain,
( ! [X7] :
( sk_c11 != multiply(sk_c12,multiply(X7,sk_c12))
| sk_c12 != inverse(X7) )
| ~ spl17_21 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl17_21
<=> ! [X7] :
( sk_c11 != multiply(sk_c12,multiply(X7,sk_c12))
| sk_c12 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f1085,plain,
( ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| ~ spl17_12
| spl17_14
| ~ spl17_16 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| ~ spl17_12
| spl17_14
| ~ spl17_16 ),
inference(subsumption_resolution,[],[f1083,f1079]) ).
fof(f1079,plain,
( identity != sk_c11
| ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| spl17_14
| ~ spl17_16 ),
inference(backward_demodulation,[],[f233,f1076]) ).
fof(f1076,plain,
( identity = sF0
| ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f1039,f1074]) ).
fof(f1074,plain,
( identity = sk_c5
| ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_demodulation,[],[f1073,f1]) ).
fof(f1073,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl17_3
| ~ spl17_10
| ~ spl17_11
| ~ spl17_16 ),
inference(forward_demodulation,[],[f815,f1002]) ).
fof(f1002,plain,
( identity = sk_c4
| ~ spl17_3
| ~ spl17_10
| ~ spl17_16 ),
inference(forward_demodulation,[],[f435,f972]) ).
fof(f972,plain,
( identity = multiply(sF4,identity)
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f333,f810]) ).
fof(f435,plain,
( sk_c4 = multiply(sF4,identity)
| ~ spl17_10 ),
inference(forward_demodulation,[],[f385,f87]) ).
fof(f385,plain,
( sk_c4 = multiply(inverse(sk_c12),identity)
| ~ spl17_10 ),
inference(superposition,[],[f355,f339]) ).
fof(f339,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl17_10 ),
inference(superposition,[],[f2,f325]) ).
fof(f325,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl17_10 ),
inference(backward_demodulation,[],[f97,f215]) ).
fof(f215,plain,
( sk_c12 = sF10
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl17_10
<=> sk_c12 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f97,plain,
inverse(sk_c4) = sF10,
introduced(function_definition,[]) ).
fof(f815,plain,
( sk_c5 = multiply(sk_c4,identity)
| ~ spl17_3
| ~ spl17_11
| ~ spl17_16 ),
inference(backward_demodulation,[],[f327,f810]) ).
fof(f327,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| ~ spl17_11 ),
inference(backward_demodulation,[],[f101,f220]) ).
fof(f220,plain,
( sk_c5 = sF12
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl17_11
<=> sk_c5 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f101,plain,
multiply(sk_c4,sk_c12) = sF12,
introduced(function_definition,[]) ).
fof(f1039,plain,
( sk_c5 = sF0
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f1038,f1]) ).
fof(f1038,plain,
( multiply(identity,sk_c5) = sF0
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f81,f810]) ).
fof(f81,plain,
multiply(sk_c12,sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f233,plain,
( sk_c11 != sF0
| spl17_14 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl17_14
<=> sk_c11 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f1083,plain,
( identity = sk_c11
| ~ spl17_3
| ~ spl17_10
| ~ spl17_12
| ~ spl17_16 ),
inference(forward_demodulation,[],[f224,f1055]) ).
fof(f1055,plain,
( identity = sF4
| ~ spl17_3
| ~ spl17_10
| ~ spl17_16 ),
inference(backward_demodulation,[],[f811,f1054]) ).
fof(f1054,plain,
( identity = inverse(identity)
| ~ spl17_3
| ~ spl17_10
| ~ spl17_16 ),
inference(forward_demodulation,[],[f1053,f810]) ).
fof(f1053,plain,
( sk_c12 = inverse(identity)
| ~ spl17_3
| ~ spl17_10
| ~ spl17_16 ),
inference(forward_demodulation,[],[f325,f1002]) ).
fof(f811,plain,
( sF4 = inverse(identity)
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f87,f810]) ).
fof(f224,plain,
( sk_c11 = sF4
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f222,plain,
( spl17_12
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f1070,plain,
( spl17_35
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(avatar_split_clause,[],[f1069,f553,f541,f248,f237,f208,f203,f194,f181,f641]) ).
fof(f1069,plain,
( identity = sk_c9
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1068,f1048]) ).
fof(f1048,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(forward_demodulation,[],[f1046,f1042]) ).
fof(f1046,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c11,X0)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(backward_demodulation,[],[f1022,f1042]) ).
fof(f1022,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(backward_demodulation,[],[f1005,f1014]) ).
fof(f1005,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(sk_c10,X0)
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9 ),
inference(forward_demodulation,[],[f1004,f942]) ).
fof(f1004,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sF1,multiply(sk_c7,X0))
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8 ),
inference(forward_demodulation,[],[f695,f902]) ).
fof(f695,plain,
! [X0] : multiply(sF1,multiply(sF3,X0)) = multiply(sk_c10,X0),
inference(superposition,[],[f3,f402]) ).
fof(f1068,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(backward_demodulation,[],[f1028,f1065]) ).
fof(f1065,plain,
( sk_c10 = inverse(sk_c11)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_23 ),
inference(forward_demodulation,[],[f840,f1014]) ).
fof(f840,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl17_3
| ~ spl17_8 ),
inference(backward_demodulation,[],[f800,f835]) ).
fof(f800,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl17_8 ),
inference(backward_demodulation,[],[f108,f205]) ).
fof(f1028,plain,
( sk_c9 = multiply(inverse(sk_c11),identity)
| ~ spl17_3
| ~ spl17_8
| ~ spl17_9
| ~ spl17_23 ),
inference(forward_demodulation,[],[f394,f1018]) ).
fof(f394,plain,
sk_c9 = multiply(inverse(sF1),identity),
inference(superposition,[],[f355,f336]) ).
fof(f336,plain,
identity = multiply(sF1,sk_c9),
inference(superposition,[],[f2,f82]) ).
fof(f1051,plain,
( spl17_46
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(avatar_split_clause,[],[f1050,f553,f541,f248,f237,f208,f203,f194,f181,f716]) ).
fof(f1050,plain,
( identity = sk_c10
| ~ spl17_3
| ~ spl17_6
| ~ spl17_8
| ~ spl17_9
| ~ spl17_15
| ~ spl17_16
| ~ spl17_23
| ~ spl17_25 ),
inference(backward_demodulation,[],[f834,f1048]) ).
fof(f834,plain,
( sk_c10 = multiply(sk_c10,identity)
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f809,f810]) ).
fof(f809,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f780,f183]) ).
fof(f780,plain,
( sk_c10 = multiply(sF16,sk_c12)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f433,f250]) ).
fof(f911,plain,
( spl17_35
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f910,f248,f203,f194,f190,f185,f181,f172,f641]) ).
fof(f172,plain,
( spl17_1
<=> sk_c12 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f185,plain,
( spl17_4
<=> sk_c12 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f190,plain,
( spl17_5
<=> sk_c12 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f910,plain,
( identity = sk_c9
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_16 ),
inference(backward_demodulation,[],[f394,f908]) ).
fof(f908,plain,
( ! [X0] : multiply(inverse(sF1),X0) = X0
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_16 ),
inference(backward_demodulation,[],[f730,f907]) ).
fof(f907,plain,
( ! [X14] : multiply(sk_c9,X14) = X14
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_16 ),
inference(forward_demodulation,[],[f903,f856]) ).
fof(f856,plain,
( ! [X12] : multiply(sk_c7,X12) = X12
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(backward_demodulation,[],[f828,f855]) ).
fof(f855,plain,
( ! [X13] : multiply(sk_c10,X13) = X13
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(forward_demodulation,[],[f852,f1]) ).
fof(f852,plain,
( ! [X13] : multiply(sk_c10,multiply(identity,X13)) = X13
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(backward_demodulation,[],[f833,f845]) ).
fof(f845,plain,
( identity = sk_c11
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(forward_demodulation,[],[f844,f1]) ).
fof(f844,plain,
( sk_c11 = multiply(identity,identity)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(forward_demodulation,[],[f403,f810]) ).
fof(f403,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl17_4
| ~ spl17_5 ),
inference(forward_demodulation,[],[f382,f329]) ).
fof(f329,plain,
( inverse(sk_c1) = sk_c12
| ~ spl17_4 ),
inference(backward_demodulation,[],[f92,f187]) ).
fof(f187,plain,
( sk_c12 = sF7
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f92,plain,
inverse(sk_c1) = sF7,
introduced(function_definition,[]) ).
fof(f382,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c12)
| ~ spl17_5 ),
inference(superposition,[],[f355,f330]) ).
fof(f330,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl17_5 ),
inference(backward_demodulation,[],[f99,f192]) ).
fof(f192,plain,
( sk_c12 = sF11
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f99,plain,
multiply(sk_c1,sk_c11) = sF11,
introduced(function_definition,[]) ).
fof(f833,plain,
( ! [X13] : multiply(sk_c10,multiply(sk_c11,X13)) = X13
| ~ spl17_1
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f826,f1]) ).
fof(f826,plain,
( ! [X13] : multiply(identity,X13) = multiply(sk_c10,multiply(sk_c11,X13))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f801,f810]) ).
fof(f801,plain,
( ! [X13] : multiply(sk_c12,X13) = multiply(sk_c10,multiply(sk_c11,X13))
| ~ spl17_1 ),
inference(forward_demodulation,[],[f348,f174]) ).
fof(f174,plain,
( sk_c12 = sF14
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f348,plain,
! [X13] : multiply(sk_c10,multiply(sk_c11,X13)) = multiply(sF14,X13),
inference(superposition,[],[f3,f105]) ).
fof(f828,plain,
( ! [X12] : multiply(sk_c7,multiply(sk_c10,X12)) = X12
| ~ spl17_3
| ~ spl17_16 ),
inference(forward_demodulation,[],[f820,f1]) ).
fof(f820,plain,
( ! [X12] : multiply(sk_c7,multiply(sk_c10,X12)) = multiply(identity,X12)
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f781,f810]) ).
fof(f781,plain,
( ! [X12] : multiply(sk_c7,multiply(sk_c10,X12)) = multiply(sk_c12,X12)
| ~ spl17_16 ),
inference(backward_demodulation,[],[f347,f250]) ).
fof(f347,plain,
! [X12] : multiply(sF9,X12) = multiply(sk_c7,multiply(sk_c10,X12)),
inference(superposition,[],[f3,f96]) ).
fof(f903,plain,
( ! [X14] : multiply(sk_c9,X14) = multiply(sk_c7,X14)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_8
| ~ spl17_16 ),
inference(backward_demodulation,[],[f858,f902]) ).
fof(f858,plain,
( ! [X14] : multiply(sF3,X14) = multiply(sk_c9,X14)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(backward_demodulation,[],[f349,f855]) ).
fof(f349,plain,
! [X14] : multiply(sF3,X14) = multiply(sk_c9,multiply(sk_c10,X14)),
inference(superposition,[],[f3,f85]) ).
fof(f730,plain,
! [X0] : multiply(sk_c9,X0) = multiply(inverse(sF1),X0),
inference(forward_demodulation,[],[f729,f1]) ).
fof(f729,plain,
! [X0] : multiply(sk_c9,X0) = multiply(inverse(sF1),multiply(identity,X0)),
inference(superposition,[],[f3,f394]) ).
fof(f899,plain,
( spl17_25
| ~ spl17_3
| ~ spl17_13
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f898,f248,f228,f181,f553]) ).
fof(f228,plain,
( spl17_13
<=> sk_c12 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f898,plain,
( identity = sF13
| ~ spl17_3
| ~ spl17_13
| ~ spl17_16 ),
inference(forward_demodulation,[],[f230,f810]) ).
fof(f230,plain,
( sk_c12 = sF13
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f897,plain,
( spl17_23
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f896,f248,f190,f185,f181,f172,f541]) ).
fof(f896,plain,
( identity = sF14
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(forward_demodulation,[],[f895,f845]) ).
fof(f895,plain,
( sk_c11 = sF14
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(forward_demodulation,[],[f105,f855]) ).
fof(f864,plain,
( spl17_46
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f859,f248,f190,f185,f181,f172,f716]) ).
fof(f859,plain,
( identity = sk_c10
| ~ spl17_1
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_16 ),
inference(backward_demodulation,[],[f834,f855]) ).
fof(f831,plain,
( spl17_23
| ~ spl17_1
| ~ spl17_3
| ~ spl17_16 ),
inference(avatar_split_clause,[],[f812,f248,f181,f172,f541]) ).
fof(f812,plain,
( identity = sF14
| ~ spl17_1
| ~ spl17_3
| ~ spl17_16 ),
inference(backward_demodulation,[],[f174,f810]) ).
fof(f777,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(subsumption_resolution,[],[f775,f478]) ).
fof(f478,plain,
( identity = inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(forward_demodulation,[],[f447,f474]) ).
fof(f474,plain,
( identity = sk_c1
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f401,f473]) ).
fof(f473,plain,
( ! [X0] : multiply(sF4,X0) = X0
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f451,plain,
( ! [X0] : multiply(sF4,multiply(identity,X0)) = X0
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f361,f442]) ).
fof(f442,plain,
( identity = sk_c12
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f414,f438]) ).
fof(f438,plain,
( identity = multiply(sk_c1,sk_c12)
| ~ spl17_4
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f430,f436]) ).
fof(f436,plain,
( sk_c1 = sk_c4
| ~ spl17_4
| ~ spl17_10 ),
inference(forward_demodulation,[],[f435,f401]) ).
fof(f430,plain,
( identity = multiply(sk_c4,sk_c12)
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f327,f426]) ).
fof(f426,plain,
( identity = sk_c5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(forward_demodulation,[],[f425,f2]) ).
fof(f425,plain,
( sk_c5 = multiply(inverse(sk_c12),sk_c12)
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(forward_demodulation,[],[f383,f405]) ).
fof(f405,plain,
( sk_c12 = sk_c11
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f324,f404]) ).
fof(f404,plain,
( sk_c12 = multiply(sk_c12,sk_c5)
| ~ spl17_10
| ~ spl17_11 ),
inference(forward_demodulation,[],[f393,f325]) ).
fof(f393,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c5)
| ~ spl17_11 ),
inference(superposition,[],[f355,f327]) ).
fof(f324,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| ~ spl17_14 ),
inference(backward_demodulation,[],[f81,f234]) ).
fof(f234,plain,
( sk_c11 = sF0
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f383,plain,
( sk_c5 = multiply(inverse(sk_c12),sk_c11)
| ~ spl17_14 ),
inference(superposition,[],[f355,f324]) ).
fof(f414,plain,
( sk_c12 = multiply(sk_c1,sk_c12)
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f330,f405]) ).
fof(f401,plain,
( sk_c1 = multiply(sF4,identity)
| ~ spl17_4 ),
inference(forward_demodulation,[],[f384,f87]) ).
fof(f384,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl17_4 ),
inference(superposition,[],[f355,f332]) ).
fof(f332,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl17_4 ),
inference(superposition,[],[f2,f329]) ).
fof(f447,plain,
( identity = inverse(sk_c1)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f329,f442]) ).
fof(f775,plain,
( identity != inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(forward_demodulation,[],[f774,f478]) ).
fof(f774,plain,
( identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(subsumption_resolution,[],[f739,f1]) ).
fof(f739,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(superposition,[],[f727,f2]) ).
fof(f727,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(forward_demodulation,[],[f726,f452]) ).
fof(f452,plain,
( identity = sk_c11
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f405,f442]) ).
fof(f726,plain,
( ! [X7] :
( sk_c11 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(forward_demodulation,[],[f725,f442]) ).
fof(f725,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c11 != multiply(sk_c12,multiply(X7,sk_c12)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_21 ),
inference(forward_demodulation,[],[f291,f442]) ).
fof(f724,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f723,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f712,f478]) ).
fof(f712,plain,
( identity != inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(trivial_inequality_removal,[],[f707]) ).
fof(f707,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(superposition,[],[f634,f1]) ).
fof(f634,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f633,f478]) ).
fof(f633,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f632,f478]) ).
fof(f632,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f631,f478]) ).
fof(f631,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(identity)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f630,f478]) ).
fof(f630,plain,
( ! [X0] :
( identity != multiply(X0,inverse(inverse(identity)))
| inverse(X0) != inverse(inverse(identity)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f629,f478]) ).
fof(f629,plain,
( ! [X0] :
( inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity)))
| identity != inverse(identity) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f628,f478]) ).
fof(f628,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(subsumption_resolution,[],[f626,f380]) ).
fof(f626,plain,
( ! [X0] :
( inverse(inverse(identity)) != inverse(identity)
| inverse(X0) != inverse(inverse(identity))
| identity != multiply(inverse(inverse(identity)),identity)
| identity != multiply(X0,inverse(inverse(identity))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(superposition,[],[f611,f1]) ).
fof(f611,plain,
( ! [X11,X9] :
( inverse(X11) != multiply(X11,inverse(inverse(X11)))
| inverse(X9) != inverse(inverse(X11))
| identity != multiply(inverse(inverse(X11)),identity)
| identity != multiply(X9,inverse(inverse(X11))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f610,f442]) ).
fof(f610,plain,
( ! [X11,X9] :
( identity != multiply(inverse(inverse(X11)),identity)
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| inverse(X9) != inverse(inverse(X11)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f609,f442]) ).
fof(f609,plain,
( ! [X11,X9] :
( sk_c12 != multiply(inverse(inverse(X11)),identity)
| inverse(X9) != inverse(inverse(X11))
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| inverse(X11) != multiply(X11,inverse(inverse(X11))) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_20 ),
inference(forward_demodulation,[],[f288,f452]) ).
fof(f608,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f607,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(subsumption_resolution,[],[f566,f1]) ).
fof(f566,plain,
( identity != multiply(identity,identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(duplicate_literal_removal,[],[f560]) ).
fof(f560,plain,
( identity != multiply(identity,identity)
| identity != multiply(identity,identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(superposition,[],[f559,f478]) ).
fof(f559,plain,
( ! [X4] :
( identity != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_demodulation,[],[f558,f452]) ).
fof(f558,plain,
( ! [X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4)) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_demodulation,[],[f557,f452]) ).
fof(f557,plain,
( ! [X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),identity) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_19 ),
inference(forward_demodulation,[],[f285,f442]) ).
fof(f547,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(avatar_contradiction_clause,[],[f546]) ).
fof(f546,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(subsumption_resolution,[],[f545,f478]) ).
fof(f545,plain,
( identity != inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f532,f478]) ).
fof(f532,plain,
( identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(trivial_inequality_removal,[],[f529]) ).
fof(f529,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(superposition,[],[f516,f2]) ).
fof(f516,plain,
( ! [X8] :
( identity != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f515,f442]) ).
fof(f515,plain,
( ! [X8] :
( sk_c12 != multiply(X8,identity)
| identity != inverse(X8) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f514,f452]) ).
fof(f514,plain,
( ! [X8] :
( identity != inverse(X8)
| sk_c12 != multiply(X8,sk_c11) )
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14
| ~ spl17_18 ),
inference(forward_demodulation,[],[f282,f442]) ).
fof(f501,plain,
( ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f500]) ).
fof(f500,plain,
( $false
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| spl17_12
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f456,f485]) ).
fof(f485,plain,
( identity = sF4
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(forward_demodulation,[],[f443,f478]) ).
fof(f443,plain,
( sF4 = inverse(identity)
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| ~ spl17_14 ),
inference(backward_demodulation,[],[f87,f442]) ).
fof(f456,plain,
( identity != sF4
| ~ spl17_4
| ~ spl17_5
| ~ spl17_10
| ~ spl17_11
| spl17_12
| ~ spl17_14 ),
inference(backward_demodulation,[],[f409,f442]) ).
fof(f409,plain,
( sk_c12 != sF4
| ~ spl17_10
| ~ spl17_11
| spl17_12
| ~ spl17_14 ),
inference(backward_demodulation,[],[f223,f405]) ).
fof(f223,plain,
( sk_c11 != sF4
| spl17_12 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f322,plain,
( spl17_5
| spl17_9 ),
inference(avatar_split_clause,[],[f122,f208,f190]) ).
fof(f122,plain,
( sk_c8 = sF1
| sk_c12 = sF11 ),
inference(definition_folding,[],[f19,f82,f99]) ).
fof(f19,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f321,plain,
( spl17_3
| spl17_14 ),
inference(avatar_split_clause,[],[f111,f232,f181]) ).
fof(f111,plain,
( sk_c11 = sF0
| sk_c10 = sF16 ),
inference(definition_folding,[],[f53,f110,f81]) ).
fof(f53,axiom,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f320,plain,
( spl17_3
| spl17_10 ),
inference(avatar_split_clause,[],[f141,f213,f181]) ).
fof(f141,plain,
( sk_c12 = sF10
| sk_c10 = sF16 ),
inference(definition_folding,[],[f71,f110,f97]) ).
fof(f71,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f319,plain,
( spl17_14
| spl17_16 ),
inference(avatar_split_clause,[],[f137,f248,f232]) ).
fof(f137,plain,
( sk_c12 = sF9
| sk_c11 = sF0 ),
inference(definition_folding,[],[f52,f96,f81]) ).
fof(f52,axiom,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f317,plain,
( spl17_5
| spl17_16 ),
inference(avatar_split_clause,[],[f128,f248,f190]) ).
fof(f128,plain,
( sk_c12 = sF9
| sk_c12 = sF11 ),
inference(definition_folding,[],[f16,f99,f96]) ).
fof(f16,axiom,
( sk_c12 = multiply(sk_c7,sk_c10)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f315,plain,
( spl17_11
| spl17_15 ),
inference(avatar_split_clause,[],[f112,f237,f218]) ).
fof(f112,plain,
( sk_c12 = sF6
| sk_c5 = sF12 ),
inference(definition_folding,[],[f59,f101,f91]) ).
fof(f59,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c5 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f314,plain,
( spl17_4
| spl17_16 ),
inference(avatar_split_clause,[],[f162,f248,f185]) ).
fof(f162,plain,
( sk_c12 = sF9
| sk_c12 = sF7 ),
inference(definition_folding,[],[f7,f92,f96]) ).
fof(f7,axiom,
( sk_c12 = multiply(sk_c7,sk_c10)
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f312,plain,
( spl17_16
| spl17_10 ),
inference(avatar_split_clause,[],[f98,f213,f248]) ).
fof(f98,plain,
( sk_c12 = sF10
| sk_c12 = sF9 ),
inference(definition_folding,[],[f70,f97,f96]) ).
fof(f70,axiom,
( sk_c12 = multiply(sk_c7,sk_c10)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f307,plain,
( spl17_16
| spl17_11 ),
inference(avatar_split_clause,[],[f163,f218,f248]) ).
fof(f163,plain,
( sk_c5 = sF12
| sk_c12 = sF9 ),
inference(definition_folding,[],[f61,f101,f96]) ).
fof(f61,axiom,
( sk_c12 = multiply(sk_c7,sk_c10)
| sk_c5 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f305,plain,
( spl17_5
| spl17_8 ),
inference(avatar_split_clause,[],[f138,f203,f190]) ).
fof(f138,plain,
( sk_c10 = sF15
| sk_c12 = sF11 ),
inference(definition_folding,[],[f20,f99,f108]) ).
fof(f20,axiom,
( sk_c10 = inverse(sk_c8)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f304,plain,
( spl17_11
| spl17_9 ),
inference(avatar_split_clause,[],[f167,f208,f218]) ).
fof(f167,plain,
( sk_c8 = sF1
| sk_c5 = sF12 ),
inference(definition_folding,[],[f64,f101,f82]) ).
fof(f64,axiom,
( inverse(sk_c9) = sk_c8
| sk_c5 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f303,plain,
( spl17_13
| spl17_4 ),
inference(avatar_split_clause,[],[f150,f185,f228]) ).
fof(f150,plain,
( sk_c12 = sF7
| sk_c12 = sF13 ),
inference(definition_folding,[],[f6,f92,f103]) ).
fof(f6,axiom,
( sk_c12 = multiply(sk_c6,sk_c11)
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f302,plain,
( spl17_12
| spl17_10 ),
inference(avatar_split_clause,[],[f152,f213,f222]) ).
fof(f152,plain,
( sk_c12 = sF10
| sk_c11 = sF4 ),
inference(definition_folding,[],[f67,f87,f97]) ).
fof(f67,axiom,
( sk_c12 = inverse(sk_c4)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f298,plain,
( spl17_4
| spl17_15 ),
inference(avatar_split_clause,[],[f93,f237,f185]) ).
fof(f93,plain,
( sk_c12 = sF6
| sk_c12 = sF7 ),
inference(definition_folding,[],[f5,f92,f91]) ).
fof(f5,axiom,
( sk_c12 = inverse(sk_c6)
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f296,plain,
( spl17_9
| spl17_4 ),
inference(avatar_split_clause,[],[f124,f185,f208]) ).
fof(f124,plain,
( sk_c12 = sF7
| sk_c8 = sF1 ),
inference(definition_folding,[],[f10,f92,f82]) ).
fof(f10,axiom,
( inverse(sk_c9) = sk_c8
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f292,plain,
( ~ spl17_12
| spl17_18
| spl17_19
| spl17_20
| spl17_21
| spl17_18 ),
inference(avatar_split_clause,[],[f145,f281,f290,f287,f284,f281,f222]) ).
fof(f145,plain,
! [X3,X11,X8,X9,X7,X4] :
( sk_c12 != multiply(X3,sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X7,sk_c12))
| sk_c12 != inverse(X7)
| sk_c12 != multiply(inverse(inverse(X11)),sk_c11)
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| sk_c11 != multiply(X4,inverse(X4))
| sk_c12 != multiply(X8,sk_c11)
| inverse(X9) != inverse(inverse(X11))
| sk_c12 != inverse(X3)
| sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c11 != sF4
| sk_c12 != inverse(X8)
| inverse(X11) != multiply(X11,inverse(inverse(X11))) ),
inference(definition_folding,[],[f80,f87]) ).
fof(f80,plain,
! [X3,X11,X8,X9,X7,X4] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(inverse(inverse(X11)),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X7,sk_c12))
| sk_c12 != multiply(X3,sk_c11)
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| sk_c12 != multiply(X8,sk_c11)
| inverse(sk_c12) != sk_c11
| inverse(X9) != inverse(inverse(X11)) ),
inference(equality_resolution,[],[f79]) ).
fof(f79,plain,
! [X3,X11,X8,X6,X9,X7,X4] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(inverse(inverse(X11)),sk_c11)
| sk_c11 != multiply(sk_c12,X6)
| sk_c12 != multiply(X3,sk_c11)
| inverse(X11) != multiply(X11,inverse(inverse(X11)))
| multiply(X7,sk_c12) != X6
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X9,inverse(inverse(X11)))
| sk_c12 != multiply(X8,sk_c11)
| inverse(sk_c12) != sk_c11
| inverse(X9) != inverse(inverse(X11)) ),
inference(equality_resolution,[],[f78]) ).
fof(f78,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(X10,sk_c11)
| sk_c11 != multiply(sk_c12,X6)
| sk_c12 != multiply(X3,sk_c11)
| inverse(inverse(X11)) != X10
| inverse(X11) != multiply(X11,X10)
| multiply(X7,sk_c12) != X6
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X9,X10)
| sk_c12 != multiply(X8,sk_c11)
| inverse(sk_c12) != sk_c11
| inverse(X9) != X10 ),
inference(equality_resolution,[],[f77]) ).
fof(f77,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X12] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(X10,sk_c11)
| inverse(X11) != X12
| sk_c11 != multiply(sk_c12,X6)
| sk_c12 != multiply(X3,sk_c11)
| inverse(X12) != X10
| multiply(X11,X10) != X12
| multiply(X7,sk_c12) != X6
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X9,X10)
| sk_c12 != multiply(X8,sk_c11)
| inverse(sk_c12) != sk_c11
| inverse(X9) != X10 ),
inference(equality_resolution,[],[f76]) ).
fof(f76,axiom,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12] :
( sk_c12 != inverse(X7)
| sk_c11 != multiply(X4,X5)
| sk_c11 != multiply(X5,sk_c12)
| inverse(X4) != X5
| sk_c12 != multiply(X10,sk_c11)
| inverse(X11) != X12
| sk_c11 != multiply(sk_c12,X6)
| sk_c12 != multiply(X3,sk_c11)
| inverse(X12) != X10
| multiply(X11,X10) != X12
| multiply(X7,sk_c12) != X6
| sk_c12 != inverse(X3)
| sk_c12 != inverse(X8)
| sk_c12 != multiply(X9,X10)
| sk_c12 != multiply(X8,sk_c11)
| inverse(sk_c12) != sk_c11
| inverse(X9) != X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_73) ).
fof(f279,plain,
( spl17_10
| spl17_13 ),
inference(avatar_split_clause,[],[f132,f228,f213]) ).
fof(f132,plain,
( sk_c12 = sF13
| sk_c12 = sF10 ),
inference(definition_folding,[],[f69,f103,f97]) ).
fof(f69,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_66) ).
fof(f278,plain,
( spl17_11
| spl17_8 ),
inference(avatar_split_clause,[],[f166,f203,f218]) ).
fof(f166,plain,
( sk_c10 = sF15
| sk_c5 = sF12 ),
inference(definition_folding,[],[f65,f108,f101]) ).
fof(f65,axiom,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_62) ).
fof(f274,plain,
( spl17_4
| spl17_12 ),
inference(avatar_split_clause,[],[f157,f222,f185]) ).
fof(f157,plain,
( sk_c11 = sF4
| sk_c12 = sF7 ),
inference(definition_folding,[],[f4,f92,f87]) ).
fof(f4,axiom,
( inverse(sk_c12) = sk_c11
| inverse(sk_c1) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f273,plain,
( spl17_9
| spl17_10 ),
inference(avatar_split_clause,[],[f160,f213,f208]) ).
fof(f160,plain,
( sk_c12 = sF10
| sk_c8 = sF1 ),
inference(definition_folding,[],[f73,f82,f97]) ).
fof(f73,axiom,
( sk_c12 = inverse(sk_c4)
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_70) ).
fof(f272,plain,
( spl17_3
| spl17_11 ),
inference(avatar_split_clause,[],[f153,f218,f181]) ).
fof(f153,plain,
( sk_c5 = sF12
| sk_c10 = sF16 ),
inference(definition_folding,[],[f62,f110,f101]) ).
fof(f62,axiom,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f270,plain,
( spl17_12
| spl17_5 ),
inference(avatar_split_clause,[],[f161,f190,f222]) ).
fof(f161,plain,
( sk_c12 = sF11
| sk_c11 = sF4 ),
inference(definition_folding,[],[f13,f87,f99]) ).
fof(f13,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f269,plain,
( spl17_5
| spl17_15 ),
inference(avatar_split_clause,[],[f100,f237,f190]) ).
fof(f100,plain,
( sk_c12 = sF6
| sk_c12 = sF11 ),
inference(definition_folding,[],[f14,f99,f91]) ).
fof(f14,axiom,
( sk_c12 = inverse(sk_c6)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f266,plain,
( spl17_6
| spl17_11 ),
inference(avatar_split_clause,[],[f102,f218,f194]) ).
fof(f102,plain,
( sk_c5 = sF12
| sk_c8 = sF3 ),
inference(definition_folding,[],[f66,f101,f85]) ).
fof(f66,axiom,
( sk_c8 = multiply(sk_c9,sk_c10)
| sk_c5 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_63) ).
fof(f265,plain,
( spl17_10
| spl17_6 ),
inference(avatar_split_clause,[],[f139,f194,f213]) ).
fof(f139,plain,
( sk_c8 = sF3
| sk_c12 = sF10 ),
inference(definition_folding,[],[f75,f85,f97]) ).
fof(f75,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_72) ).
fof(f264,plain,
( spl17_1
| spl17_11 ),
inference(avatar_split_clause,[],[f127,f218,f172]) ).
fof(f127,plain,
( sk_c5 = sF12
| sk_c12 = sF14 ),
inference(definition_folding,[],[f63,f101,f105]) ).
fof(f63,axiom,
( sk_c12 = multiply(sk_c10,sk_c11)
| sk_c5 = multiply(sk_c4,sk_c12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f263,plain,
( spl17_8
| spl17_4 ),
inference(avatar_split_clause,[],[f129,f185,f203]) ).
fof(f129,plain,
( sk_c12 = sF7
| sk_c10 = sF15 ),
inference(definition_folding,[],[f11,f108,f92]) ).
fof(f11,axiom,
( inverse(sk_c1) = sk_c12
| sk_c10 = inverse(sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f255,plain,
( spl17_1
| spl17_10 ),
inference(avatar_split_clause,[],[f164,f213,f172]) ).
fof(f164,plain,
( sk_c12 = sF10
| sk_c12 = sF14 ),
inference(definition_folding,[],[f72,f105,f97]) ).
fof(f72,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c10,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_69) ).
fof(f254,plain,
( spl17_12
| spl17_14 ),
inference(avatar_split_clause,[],[f133,f232,f222]) ).
fof(f133,plain,
( sk_c11 = sF0
| sk_c11 = sF4 ),
inference(definition_folding,[],[f49,f87,f81]) ).
fof(f49,axiom,
( sk_c11 = multiply(sk_c12,sk_c5)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f253,plain,
( spl17_4
| spl17_1 ),
inference(avatar_split_clause,[],[f106,f172,f185]) ).
fof(f106,plain,
( sk_c12 = sF14
| sk_c12 = sF7 ),
inference(definition_folding,[],[f9,f105,f92]) ).
fof(f9,axiom,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c10,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f252,plain,
( spl17_10
| spl17_15 ),
inference(avatar_split_clause,[],[f151,f237,f213]) ).
fof(f151,plain,
( sk_c12 = sF6
| sk_c12 = sF10 ),
inference(definition_folding,[],[f68,f91,f97]) ).
fof(f68,axiom,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
fof(f246,plain,
( spl17_1
| spl17_5 ),
inference(avatar_split_clause,[],[f170,f190,f172]) ).
fof(f170,plain,
( sk_c12 = sF11
| sk_c12 = sF14 ),
inference(definition_folding,[],[f18,f99,f105]) ).
fof(f18,axiom,
( sk_c12 = multiply(sk_c10,sk_c11)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f245,plain,
( spl17_5
| spl17_3 ),
inference(avatar_split_clause,[],[f158,f181,f190]) ).
fof(f158,plain,
( sk_c10 = sF16
| sk_c12 = sF11 ),
inference(definition_folding,[],[f17,f110,f99]) ).
fof(f17,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f244,plain,
( spl17_13
| spl17_5 ),
inference(avatar_split_clause,[],[f154,f190,f228]) ).
fof(f154,plain,
( sk_c12 = sF11
| sk_c12 = sF13 ),
inference(definition_folding,[],[f15,f103,f99]) ).
fof(f15,axiom,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f241,plain,
( spl17_11
| spl17_13 ),
inference(avatar_split_clause,[],[f118,f228,f218]) ).
fof(f118,plain,
( sk_c12 = sF13
| sk_c5 = sF12 ),
inference(definition_folding,[],[f60,f103,f101]) ).
fof(f60,axiom,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f226,plain,
( spl17_6
| spl17_4 ),
inference(avatar_split_clause,[],[f119,f185,f194]) ).
fof(f119,plain,
( sk_c12 = sF7
| sk_c8 = sF3 ),
inference(definition_folding,[],[f12,f85,f92]) ).
fof(f12,axiom,
( inverse(sk_c1) = sk_c12
| sk_c8 = multiply(sk_c9,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f225,plain,
( spl17_11
| spl17_12 ),
inference(avatar_split_clause,[],[f159,f222,f218]) ).
fof(f159,plain,
( sk_c11 = sF4
| sk_c5 = sF12 ),
inference(definition_folding,[],[f58,f87,f101]) ).
fof(f58,axiom,
( sk_c5 = multiply(sk_c4,sk_c12)
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f216,plain,
( spl17_10
| spl17_8 ),
inference(avatar_split_clause,[],[f142,f203,f213]) ).
fof(f142,plain,
( sk_c10 = sF15
| sk_c12 = sF10 ),
inference(definition_folding,[],[f74,f97,f108]) ).
fof(f74,axiom,
( sk_c10 = inverse(sk_c8)
| sk_c12 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_71) ).
fof(f197,plain,
( spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f148,f194,f190]) ).
fof(f148,plain,
( sk_c8 = sF3
| sk_c12 = sF11 ),
inference(definition_folding,[],[f21,f99,f85]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c9,sk_c10)
| sk_c12 = multiply(sk_c1,sk_c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f188,plain,
( spl17_3
| spl17_4 ),
inference(avatar_split_clause,[],[f146,f185,f181]) ).
fof(f146,plain,
( sk_c12 = sF7
| sk_c10 = sF16 ),
inference(definition_folding,[],[f8,f110,f92]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c12
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP220-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:42:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (990)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)
% 0.18/0.47 % (1008)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)
% 0.18/0.48 % (993)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)
% 0.18/0.48 TRYING [1]
% 0.18/0.48 % (986)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49 % (995)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.49 % (1011)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)
% 0.18/0.49 % (995)Instruction limit reached!
% 0.18/0.49 % (995)------------------------------
% 0.18/0.49 % (995)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (995)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (995)Termination reason: Unknown
% 0.18/0.49 % (995)Termination phase: Saturation
% 0.18/0.49
% 0.18/0.49 % (995)Memory used [KB]: 5500
% 0.18/0.49 % (995)Time elapsed: 0.003 s
% 0.18/0.49 % (995)Instructions burned: 3 (million)
% 0.18/0.49 % (995)------------------------------
% 0.18/0.49 % (995)------------------------------
% 0.18/0.49 % (1003)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)
% 0.18/0.49 TRYING [2]
% 0.18/0.49 TRYING [3]
% 0.18/0.50 % (1014)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.50 % (1017)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.50 TRYING [1]
% 0.18/0.50 % (992)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)
% 0.18/0.50 % (991)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 TRYING [2]
% 0.18/0.50 % (1004)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.50 % (989)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)
% 0.18/0.50 % (1000)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 TRYING [3]
% 0.18/0.51 % (1012)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)
% 0.18/0.51 % (998)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)
% 0.18/0.52 % (1019)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)
% 0.18/0.52 % (1018)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52 % (1016)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)
% 0.18/0.52 % (1005)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (993)Instruction limit reached!
% 0.18/0.52 % (993)------------------------------
% 0.18/0.52 % (993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (987)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)
% 0.18/0.52 % (1010)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.52 % (1009)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53 % (1007)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (993)Termination reason: Unknown
% 0.18/0.53 % (993)Termination phase: Finite model building constraint generation
% 0.18/0.53
% 0.18/0.53 % (993)Memory used [KB]: 6780
% 0.18/0.53 % (993)Time elapsed: 0.110 s
% 0.18/0.53 % (993)Instructions burned: 53 (million)
% 0.18/0.53 % (993)------------------------------
% 0.18/0.53 % (993)------------------------------
% 0.18/0.53 % (994)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 % (994)Instruction limit reached!
% 0.18/0.53 % (994)------------------------------
% 0.18/0.53 % (994)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (994)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (994)Termination reason: Unknown
% 0.18/0.53 % (994)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (994)Memory used [KB]: 5628
% 0.18/0.53 % (994)Time elapsed: 0.109 s
% 0.18/0.53 % (994)Instructions burned: 8 (million)
% 0.18/0.53 % (994)------------------------------
% 0.18/0.53 % (994)------------------------------
% 0.18/0.53 % (1015)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.53 % (1002)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.53 % (1001)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (999)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.54 % (1006)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.54 TRYING [4]
% 0.18/0.54 TRYING [1]
% 0.18/0.55 % (990)Instruction limit reached!
% 0.18/0.55 % (990)------------------------------
% 0.18/0.55 % (990)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (990)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (990)Termination reason: Unknown
% 0.18/0.55 % (990)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (990)Memory used [KB]: 6652
% 0.18/0.55 % (990)Time elapsed: 0.173 s
% 0.18/0.55 % (990)Instructions burned: 52 (million)
% 0.18/0.55 % (990)------------------------------
% 0.18/0.55 % (990)------------------------------
% 0.18/0.56 % (1003)Instruction limit reached!
% 0.18/0.56 % (1003)------------------------------
% 0.18/0.56 % (1003)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (1003)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (1003)Termination reason: Unknown
% 0.18/0.56 % (1003)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (1003)Memory used [KB]: 6524
% 0.18/0.56 % (1003)Time elapsed: 0.045 s
% 0.18/0.56 % (1003)Instructions burned: 68 (million)
% 0.18/0.56 % (1003)------------------------------
% 0.18/0.56 % (1003)------------------------------
% 0.18/0.56 TRYING [2]
% 0.18/0.56 % (1014)First to succeed.
% 0.18/0.57 TRYING [3]
% 0.18/0.57 % (989)Instruction limit reached!
% 0.18/0.57 % (989)------------------------------
% 0.18/0.57 % (989)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.57 % (989)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.57 % (989)Termination reason: Unknown
% 0.18/0.57 % (989)Termination phase: Saturation
% 0.18/0.57
% 0.18/0.57 % (989)Memory used [KB]: 1151
% 0.18/0.57 % (989)Time elapsed: 0.186 s
% 0.18/0.57 % (989)Instructions burned: 38 (million)
% 0.18/0.57 % (989)------------------------------
% 0.18/0.57 % (989)------------------------------
% 0.18/0.59 % (1014)Refutation found. Thanks to Tanya!
% 0.18/0.59 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.59 % (1014)------------------------------
% 0.18/0.59 % (1014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.59 % (1014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.59 % (1014)Termination reason: Refutation
% 0.18/0.59
% 0.18/0.59 % (1014)Memory used [KB]: 6268
% 0.18/0.59 % (1014)Time elapsed: 0.176 s
% 0.18/0.59 % (1014)Instructions burned: 49 (million)
% 0.18/0.59 % (1014)------------------------------
% 0.18/0.59 % (1014)------------------------------
% 0.18/0.59 % (982)Success in time 0.249 s
%------------------------------------------------------------------------------