TSTP Solution File: GRP364-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP364-1 : 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 : n008.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 16:15:32 EDT 2022
% Result : Unsatisfiable 0.18s 0.56s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 55
% Syntax : Number of formulae : 212 ( 4 unt; 0 def)
% Number of atoms : 895 ( 248 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1322 ( 639 ~; 668 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f450,plain,
$false,
inference(avatar_sat_refutation,[],[f51,f60,f61,f66,f75,f80,f81,f86,f91,f96,f97,f98,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f197,f210,f222,f230,f388,f404,f421,f432,f449]) ).
fof(f449,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f447]) ).
fof(f447,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f445,f380]) ).
fof(f380,plain,
( sk_c7 = multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f347,f362]) ).
fof(f362,plain,
( sk_c7 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f360,f347]) ).
fof(f360,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f249,f46]) ).
fof(f46,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_1
<=> sk_c2 = multiply(sk_c1,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f248,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f248,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f234]) ).
fof(f234,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_11 ),
inference(superposition,[],[f2,f95]) ).
fof(f95,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f93,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f347,plain,
( sk_c7 = multiply(sk_c9,sk_c2)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f85,f342]) ).
fof(f342,plain,
( sk_c7 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f79,f294]) ).
fof(f294,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f247,f59]) ).
fof(f59,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_4
<=> sk_c9 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f246,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f233]) ).
fof(f233,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_6 ),
inference(superposition,[],[f2,f70]) ).
fof(f70,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_6
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f79,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_8
<=> multiply(sk_c7,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f85,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c9,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f445,plain,
( sk_c7 != multiply(sk_c7,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f444,f364]) ).
fof(f364,plain,
( sk_c2 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f46,f362]) ).
fof(f444,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f441]) ).
fof(f441,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f435,f368]) ).
fof(f368,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f95,f362]) ).
fof(f435,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f434,f342]) ).
fof(f434,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f433,f362]) ).
fof(f433,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f122,f362]) ).
fof(f122,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9)) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl0_14
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f432,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f430,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f428,f366]) ).
fof(f366,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f59,f362]) ).
fof(f428,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f424,f70]) ).
fof(f424,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f423,f362]) ).
fof(f423,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c9 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f422,f342]) ).
fof(f422,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X6) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f119,f362]) ).
fof(f119,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f118,plain,
( spl0_13
<=> ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f421,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f420]) ).
fof(f420,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f419]) ).
fof(f419,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f417,f366]) ).
fof(f417,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f405,f70]) ).
fof(f405,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_15 ),
inference(forward_demodulation,[],[f125,f362]) ).
fof(f125,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c9 != multiply(X5,sk_c7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_15
<=> ! [X5] :
( sk_c9 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f404,plain,
( ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f401]) ).
fof(f401,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f381,f377]) ).
fof(f377,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f294,f362]) ).
fof(f381,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f348,f362]) ).
fof(f348,plain,
( sk_c7 != multiply(sk_c9,sk_c7)
| spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8 ),
inference(backward_demodulation,[],[f54,f342]) ).
fof(f54,plain,
( sk_c7 != multiply(sk_c9,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c9,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f388,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f386]) ).
fof(f386,plain,
( sk_c7 != sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f344,f362]) ).
fof(f344,plain,
( sk_c7 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_12 ),
inference(backward_demodulation,[],[f340,f342]) ).
fof(f340,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| spl0_7
| ~ spl0_12 ),
inference(backward_demodulation,[],[f73,f258]) ).
fof(f258,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f150,f102]) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_12
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f150,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c5,X11)) = X11
| ~ spl0_5 ),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f145,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c5,X11)) = multiply(identity,X11)
| ~ spl0_5 ),
inference(superposition,[],[f3,f138]) ).
fof(f138,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f2,f65]) ).
fof(f65,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f73,plain,
( sk_c8 != multiply(sk_c9,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_7
<=> sk_c8 = multiply(sk_c9,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f230,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f229,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f226,f189]) ).
fof(f189,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f164,f187]) ).
fof(f187,plain,
( sk_c7 = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f162,f184]) ).
fof(f184,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f179,f165]) ).
fof(f165,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f102,f158]) ).
fof(f158,plain,
( sk_c7 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(forward_demodulation,[],[f155,f55]) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f155,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f148,f90]) ).
fof(f90,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f148,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c4,X9)) = X9
| ~ spl0_2 ),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f143,plain,
( ! [X9] : multiply(sk_c9,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl0_2 ),
inference(superposition,[],[f3,f137]) ).
fof(f137,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_2 ),
inference(superposition,[],[f2,f50]) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_2
<=> sk_c9 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f3,f167]) ).
fof(f167,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f138,f158]) ).
fof(f162,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f74,f158]) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f164,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(backward_demodulation,[],[f90,f158]) ).
fof(f226,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f224]) ).
fof(f224,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f223,f159]) ).
fof(f159,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(backward_demodulation,[],[f50,f158]) ).
fof(f223,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f125,f158]) ).
fof(f222,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f220]) ).
fof(f220,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f218,f184]) ).
fof(f218,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f217,f165]) ).
fof(f217,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c5,sk_c7))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f215]) ).
fof(f215,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c5,sk_c7))
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f213,f161]) ).
fof(f161,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10 ),
inference(backward_demodulation,[],[f65,f158]) ).
fof(f213,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f212,f158]) ).
fof(f212,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c7 != multiply(sk_c7,multiply(X4,sk_c7)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f211,f187]) ).
fof(f211,plain,
( ! [X4] :
( sk_c8 != multiply(sk_c7,multiply(X4,sk_c7))
| sk_c9 != inverse(X4) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f122,f158]) ).
fof(f210,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f209,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f208]) ).
fof(f208,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f206,f189]) ).
fof(f206,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f203]) ).
fof(f203,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f200,f159]) ).
fof(f200,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f199,f187]) ).
fof(f199,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f198,f158]) ).
fof(f198,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c9) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f119,f158]) ).
fof(f197,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f196]) ).
fof(f196,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f194]) ).
fof(f194,plain,
( sk_c7 != sk_c7
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f190,f191]) ).
fof(f191,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f160,f187]) ).
fof(f160,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_10 ),
inference(backward_demodulation,[],[f55,f158]) ).
fof(f190,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f163,f187]) ).
fof(f163,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| ~ spl0_2
| ~ spl0_3
| spl0_8
| ~ spl0_10 ),
inference(backward_demodulation,[],[f78,f158]) ).
fof(f78,plain,
( multiply(sk_c7,sk_c9) != sk_c8
| spl0_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f136,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f5,f88,f77]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f135,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f100,f68]) ).
fof(f38,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f134,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f35,f68,f88]) ).
fof(f35,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f133,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f11,f83,f88]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f132,plain,
( spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f30,f57,f48]) ).
fof(f30,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f131,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f26,f100,f93]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f130,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f9,f63,f77]) ).
fof(f9,axiom,
( sk_c9 = inverse(sk_c5)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f129,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f20,f100,f44]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f128,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f12,f48,f83]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f127,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f7,f72,f77]) ).
fof(f7,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f126,plain,
( ~ spl0_3
| spl0_13
| spl0_14
| spl0_15
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f121,f77,f124,f121,f118,f53]) ).
fof(f42,plain,
! [X8,X6,X4,X5] :
( sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| multiply(sk_c7,sk_c9) != sk_c8
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6)
| sk_c8 != multiply(sk_c9,multiply(X4,sk_c9))
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c7 != inverse(X5) ),
inference(equality_resolution,[],[f41]) ).
fof(f41,plain,
! [X3,X8,X6,X4,X5] :
( sk_c8 != multiply(sk_c9,multiply(X8,sk_c9))
| multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X4)
| multiply(X4,sk_c9) != X3
| sk_c8 != multiply(sk_c9,X3)
| sk_c9 != inverse(X6)
| sk_c9 != multiply(X5,sk_c7)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X5) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(sk_c9,X7)
| multiply(sk_c7,sk_c9) != sk_c8
| multiply(X8,sk_c9) != X7
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X4)
| multiply(X4,sk_c9) != X3
| sk_c8 != multiply(sk_c9,X3)
| sk_c9 != inverse(X6)
| sk_c9 != multiply(X5,sk_c7)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c9 != inverse(X8)
| sk_c7 != inverse(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f116,plain,
( spl0_1
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f88,f44]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f115,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f68,f53]) ).
fof(f34,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f114,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f63,f44]) ).
fof(f21,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f113,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f25,f93,f72]) ).
fof(f25,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f112,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f22,f93,f53]) ).
fof(f22,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f111,plain,
( spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f4,f53,f77]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f110,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f83,f63]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f109,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f32,f100,f57]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f108,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f31,f72,f57]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c9 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f107,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f8,f100,f77]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f106,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f93,f88]) ).
fof(f23,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f105,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f53,f83]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f104,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f48,f93]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f103,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f14,f100,f83]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f98,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f44,f72]) ).
fof(f19,axiom,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f97,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f68,f48]) ).
fof(f36,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f96,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f27,f93,f63]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f91,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f57,f88]) ).
fof(f29,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f86,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f72,f83]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c8 = multiply(sk_c9,sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f81,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f39,f63,f68]) ).
fof(f39,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f80,plain,
( spl0_8
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f48,f77]) ).
fof(f6,axiom,
( sk_c9 = inverse(sk_c4)
| multiply(sk_c7,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f75,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f72,f68]) ).
fof(f37,axiom,
( sk_c8 = multiply(sk_c9,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f66,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f33,f57,f63]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f61,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f16,f53,f44]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c9,sk_c8)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f60,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f28,f57,f53]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c9,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f48,f44]) ).
fof(f18,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP364-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:30:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.47 % (31537)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)
% 0.18/0.48 % (31528)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)
% 0.18/0.49 % (31537)Instruction limit reached!
% 0.18/0.49 % (31537)------------------------------
% 0.18/0.49 % (31537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (31537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (31537)Termination reason: Unknown
% 0.18/0.50 % (31537)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (31537)Memory used [KB]: 6012
% 0.18/0.50 % (31537)Time elapsed: 0.100 s
% 0.18/0.50 % (31537)Instructions burned: 6 (million)
% 0.18/0.50 % (31537)------------------------------
% 0.18/0.50 % (31537)------------------------------
% 0.18/0.50 % (31528)Instruction limit reached!
% 0.18/0.50 % (31528)------------------------------
% 0.18/0.50 % (31528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (31528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (31528)Termination reason: Unknown
% 0.18/0.50 % (31528)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (31528)Memory used [KB]: 5884
% 0.18/0.50 % (31528)Time elapsed: 0.004 s
% 0.18/0.50 % (31528)Instructions burned: 4 (million)
% 0.18/0.50 % (31528)------------------------------
% 0.18/0.50 % (31528)------------------------------
% 0.18/0.50 % (31543)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)
% 0.18/0.50 % (31551)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50 % (31539)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)
% 0.18/0.51 % (31543)Instruction limit reached!
% 0.18/0.51 % (31543)------------------------------
% 0.18/0.51 % (31543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (31543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (31543)Termination reason: Unknown
% 0.18/0.51 % (31543)Termination phase: Property scanning
% 0.18/0.51
% 0.18/0.51 % (31543)Memory used [KB]: 1279
% 0.18/0.51 % (31543)Time elapsed: 0.004 s
% 0.18/0.51 % (31543)Instructions burned: 2 (million)
% 0.18/0.51 % (31543)------------------------------
% 0.18/0.51 % (31543)------------------------------
% 0.18/0.51 % (31533)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)
% 0.18/0.51 % (31527)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)
% 0.18/0.51 % (31538)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)
% 0.18/0.52 % (31541)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)
% 0.18/0.52 % (31550)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52 % (31532)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.52 % (31550)Refutation not found, incomplete strategy% (31550)------------------------------
% 0.18/0.52 % (31550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (31550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (31550)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (31550)Memory used [KB]: 5884
% 0.18/0.52 % (31550)Time elapsed: 0.128 s
% 0.18/0.52 % (31550)Instructions burned: 4 (million)
% 0.18/0.52 % (31550)------------------------------
% 0.18/0.52 % (31550)------------------------------
% 0.18/0.52 % (31526)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.52 % (31557)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)
% 0.18/0.52 % (31531)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52 % (31530)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)
% 0.18/0.52 % (31547)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)
% 0.18/0.52 % (31549)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)
% 0.18/0.53 % (31539)Instruction limit reached!
% 0.18/0.53 % (31539)------------------------------
% 0.18/0.53 % (31539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (31539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (31539)Termination reason: Unknown
% 0.18/0.53 % (31539)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (31539)Memory used [KB]: 5884
% 0.18/0.53 % (31539)Time elapsed: 0.117 s
% 0.18/0.53 % (31539)Instructions burned: 6 (million)
% 0.18/0.53 % (31539)------------------------------
% 0.18/0.53 % (31539)------------------------------
% 0.18/0.53 % (31553)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)
% 0.18/0.53 % (31529)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)
% 0.18/0.53 % (31548)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)
% 0.18/0.53 % (31554)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)
% 0.18/0.53 % (31547)Instruction limit reached!
% 0.18/0.53 % (31547)------------------------------
% 0.18/0.53 % (31547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (31545)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.53 % (31546)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)
% 0.18/0.54 % (31534)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)
% 0.18/0.54 % (31534)Instruction limit reached!
% 0.18/0.54 % (31534)------------------------------
% 0.18/0.54 % (31534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (31534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31534)Termination reason: Unknown
% 0.18/0.54 % (31534)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (31534)Memory used [KB]: 5884
% 0.18/0.54 % (31534)Time elapsed: 0.002 s
% 0.18/0.54 % (31534)Instructions burned: 3 (million)
% 0.18/0.54 % (31534)------------------------------
% 0.18/0.54 % (31534)------------------------------
% 0.18/0.54 % (31540)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.54 % (31556)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)
% 0.18/0.54 % (31554)Refutation not found, incomplete strategy% (31554)------------------------------
% 0.18/0.54 % (31554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (31540)Instruction limit reached!
% 0.18/0.54 % (31540)------------------------------
% 0.18/0.54 % (31540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (31540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31540)Termination reason: Unknown
% 0.18/0.54 % (31540)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (31540)Memory used [KB]: 5884
% 0.18/0.54 % (31540)Time elapsed: 0.003 s
% 0.18/0.54 % (31540)Instructions burned: 3 (million)
% 0.18/0.54 % (31540)------------------------------
% 0.18/0.54 % (31540)------------------------------
% 0.18/0.54 % (31542)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)
% 0.18/0.54 % (31535)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)
% 0.18/0.54 % (31554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31554)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (31554)Memory used [KB]: 6012
% 0.18/0.54 % (31554)Time elapsed: 0.153 s
% 0.18/0.54 % (31554)Instructions burned: 5 (million)
% 0.18/0.54 % (31554)------------------------------
% 0.18/0.54 % (31554)------------------------------
% 0.18/0.54 % (31547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31547)Termination reason: Unknown
% 0.18/0.54 % (31547)Termination phase: Saturation
% 0.18/0.54
% 0.18/0.54 % (31547)Memory used [KB]: 1407
% 0.18/0.54 % (31547)Time elapsed: 0.136 s
% 0.18/0.54 % (31547)Instructions burned: 6 (million)
% 0.18/0.54 % (31547)------------------------------
% 0.18/0.54 % (31547)------------------------------
% 0.18/0.54 % (31542)Instruction limit reached!
% 0.18/0.54 % (31542)------------------------------
% 0.18/0.54 % (31542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (31542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (31542)Termination reason: Unknown
% 0.18/0.54 % (31542)Termination phase: Finite model building preprocessing
% 0.18/0.54
% 0.18/0.54 % (31542)Memory used [KB]: 6012
% 0.18/0.54 % (31542)Time elapsed: 0.005 s
% 0.18/0.54 % (31542)Instructions burned: 7 (million)
% 0.18/0.54 % (31542)------------------------------
% 0.18/0.54 % (31542)------------------------------
% 0.18/0.54 % (31544)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.55 % (31546)Instruction limit reached!
% 0.18/0.55 % (31546)------------------------------
% 0.18/0.55 % (31546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (31546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (31546)Termination reason: Unknown
% 0.18/0.55 % (31546)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (31546)Memory used [KB]: 6012
% 0.18/0.55 % (31546)Time elapsed: 0.148 s
% 0.18/0.55 % (31546)Instructions burned: 7 (million)
% 0.18/0.55 % (31546)------------------------------
% 0.18/0.55 % (31546)------------------------------
% 0.18/0.55 % (31531)First to succeed.
% 0.18/0.55 % (31544)Instruction limit reached!
% 0.18/0.55 % (31544)------------------------------
% 0.18/0.55 % (31544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (31544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (31544)Termination reason: Unknown
% 0.18/0.55 % (31544)Termination phase: Saturation
% 0.18/0.55
% 0.18/0.55 % (31544)Memory used [KB]: 6012
% 0.18/0.55 % (31544)Time elapsed: 0.162 s
% 0.18/0.55 % (31544)Instructions burned: 9 (million)
% 0.18/0.55 % (31544)------------------------------
% 0.18/0.55 % (31544)------------------------------
% 0.18/0.55 % (31555)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.56 % (31541)Instruction limit reached!
% 0.18/0.56 % (31541)------------------------------
% 0.18/0.56 % (31541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (31538)Instruction limit reached!
% 0.18/0.56 % (31538)------------------------------
% 0.18/0.56 % (31538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (31538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (31538)Termination reason: Unknown
% 0.18/0.56 % (31538)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (31538)Memory used [KB]: 6268
% 0.18/0.56 % (31538)Time elapsed: 0.166 s
% 0.18/0.56 % (31538)Instructions burned: 25 (million)
% 0.18/0.56 % (31538)------------------------------
% 0.18/0.56 % (31538)------------------------------
% 0.18/0.56 % (31541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (31541)Termination reason: Unknown
% 0.18/0.56 % (31541)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (31541)Memory used [KB]: 1663
% 0.18/0.56 % (31531)Refutation found. Thanks to Tanya!
% 0.18/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56 % (31531)------------------------------
% 0.18/0.56 % (31531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (31531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (31531)Termination reason: Refutation
% 0.18/0.56
% 0.18/0.56 % (31531)Memory used [KB]: 6140
% 0.18/0.56 % (31531)Time elapsed: 0.156 s
% 0.18/0.56 % (31531)Instructions burned: 16 (million)
% 0.18/0.56 % (31531)------------------------------
% 0.18/0.56 % (31531)------------------------------
% 0.18/0.56 % (31523)Success in time 0.208 s
%------------------------------------------------------------------------------