TSTP Solution File: GRP293-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP293-1 : 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 16:21:11 EDT 2022
% Result : Unsatisfiable 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 63
% Syntax : Number of formulae : 255 ( 13 unt; 0 def)
% Number of atoms : 1126 ( 311 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 1721 ( 850 ~; 848 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f65,f70,f75,f80,f88,f97,f102,f103,f111,f116,f117,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f139,f143,f144,f145,f146,f147,f148,f149,f150,f151,f152,f153,f154,f155,f156,f157,f158,f159,f244,f264,f288,f331,f345,f603,f643,f645,f684,f694,f711,f724]) ).
fof(f724,plain,
( ~ spl3_20
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f723,f589,f119,f99,f94,f67,f62,f58,f49,f589]) ).
fof(f49,plain,
( spl3_1
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f58,plain,
( spl3_3
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f62,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f67,plain,
( spl3_5
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f94,plain,
( spl3_11
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f99,plain,
( spl3_12
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f119,plain,
( spl3_16
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f589,plain,
( spl3_20
<=> identity = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f723,plain,
( identity != sk_c8
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f722,f650]) ).
fof(f650,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f540,f590]) ).
fof(f590,plain,
( identity = sk_c8
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f540,plain,
( sk_c8 = sk_c7
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f51,f468]) ).
fof(f468,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f466,f69]) ).
fof(f69,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f466,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_16 ),
inference(superposition,[],[f172,f121]) ).
fof(f121,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f172,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f164,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f164,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f722,plain,
( sk_c8 != sk_c7
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f721,f293]) ).
fof(f293,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f181,f180]) ).
fof(f180,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f172,f2]) ).
fof(f181,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f172,f172]) ).
fof(f721,plain,
( sk_c7 != multiply(sk_c8,identity)
| ~ spl3_1
| spl3_3
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f59,f658]) ).
fof(f658,plain,
( identity = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f568,f590]) ).
fof(f568,plain,
( sk_c8 = sk_c6
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f546,f567]) ).
fof(f567,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f565,f541]) ).
fof(f541,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_12
| ~ spl3_16 ),
inference(backward_demodulation,[],[f101,f540]) ).
fof(f101,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f565,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_16 ),
inference(superposition,[],[f172,f543]) ).
fof(f543,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_16 ),
inference(backward_demodulation,[],[f96,f540]) ).
fof(f96,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f546,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_16 ),
inference(forward_demodulation,[],[f64,f540]) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f59,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl3_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f711,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f710]) ).
fof(f710,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f709]) ).
fof(f709,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f708,f327]) ).
fof(f327,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f309,f308]) ).
fof(f308,plain,
! [X3] : inverse(inverse(X3)) = X3,
inference(superposition,[],[f293,f180]) ).
fof(f309,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f293,f252]) ).
fof(f252,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f172,f180]) ).
fof(f708,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f706,f327]) ).
fof(f706,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f704]) ).
fof(f704,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(superposition,[],[f697,f2]) ).
fof(f697,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f696,f590]) ).
fof(f696,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f695,f650]) ).
fof(f695,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_20 ),
inference(forward_demodulation,[],[f142,f650]) ).
fof(f142,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl3_19
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f694,plain,
( ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f693]) ).
fof(f693,plain,
( $false
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f692]) ).
fof(f692,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f691,f327]) ).
fof(f691,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f690]) ).
fof(f690,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(superposition,[],[f688,f293]) ).
fof(f688,plain,
( ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f687,f590]) ).
fof(f687,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| identity != multiply(identity,X7) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_16
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f686,f650]) ).
fof(f686,plain,
( ! [X7] :
( sk_c7 != multiply(identity,X7)
| sk_c8 != inverse(X7) )
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f685,f293]) ).
fof(f685,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| sk_c8 != inverse(X7) )
| ~ spl3_18
| ~ spl3_20 ),
inference(forward_demodulation,[],[f138,f590]) ).
fof(f138,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl3_18
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f684,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f682]) ).
fof(f682,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(superposition,[],[f680,f327]) ).
fof(f680,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f679,f327]) ).
fof(f679,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(superposition,[],[f665,f2]) ).
fof(f665,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(forward_demodulation,[],[f662,f590]) ).
fof(f662,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16
| ~ spl3_20 ),
inference(backward_demodulation,[],[f646,f590]) ).
fof(f646,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f110,f568]) ).
fof(f110,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl3_14
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f645,plain,
( spl3_20
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f644,f119,f99,f94,f67,f49,f589]) ).
fof(f644,plain,
( identity = sk_c8
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f640,f2]) ).
fof(f640,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f172,f567]) ).
fof(f643,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f642]) ).
fof(f642,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f638]) ).
fof(f638,plain,
( sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(superposition,[],[f605,f567]) ).
fof(f605,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f604,f540]) ).
fof(f604,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_5
| spl3_6
| ~ spl3_11
| ~ spl3_12
| ~ spl3_16 ),
inference(forward_demodulation,[],[f73,f568]) ).
fof(f73,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl3_6
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f603,plain,
( ~ spl3_20
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f602,f119,f86,f67,f49,f589]) ).
fof(f86,plain,
( spl3_9
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f602,plain,
( identity != sk_c8
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f584,f327]) ).
fof(f584,plain,
( sk_c8 != inverse(identity)
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f578]) ).
fof(f578,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c8
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_16 ),
inference(superposition,[],[f547,f1]) ).
fof(f547,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_1
| ~ spl3_5
| ~ spl3_9
| ~ spl3_16 ),
inference(forward_demodulation,[],[f87,f540]) ).
fof(f87,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f345,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f343]) ).
fof(f343,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(superposition,[],[f340,f234]) ).
fof(f234,plain,
( identity = inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f216,f227]) ).
fof(f227,plain,
( identity = sk_c1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f219,f2]) ).
fof(f219,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f184,f215]) ).
fof(f215,plain,
( identity = sk_c8
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f190,f214]) ).
fof(f214,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f213,f2]) ).
fof(f213,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f183,f199]) ).
fof(f199,plain,
( sk_c8 = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f191,f198]) ).
fof(f198,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f197,f79]) ).
fof(f79,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl3_7
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f197,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c8)
| ~ spl3_2
| ~ spl3_6
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f187,f190]) ).
fof(f187,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c6)
| ~ spl3_10 ),
inference(superposition,[],[f172,f92]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl3_10
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f191,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_15 ),
inference(backward_demodulation,[],[f60,f190]) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f183,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl3_3 ),
inference(superposition,[],[f172,f60]) ).
fof(f190,plain,
( sk_c8 = sk_c6
| ~ spl3_2
| ~ spl3_6
| ~ spl3_15 ),
inference(backward_demodulation,[],[f74,f189]) ).
fof(f189,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl3_2
| ~ spl3_15 ),
inference(forward_demodulation,[],[f186,f115]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl3_15 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl3_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f186,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl3_2 ),
inference(superposition,[],[f172,f55]) ).
fof(f55,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl3_2
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f74,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f184,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl3_15 ),
inference(superposition,[],[f172,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl3_15 ),
inference(superposition,[],[f2,f115]) ).
fof(f216,plain,
( identity = inverse(sk_c1)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f115,f215]) ).
fof(f340,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(superposition,[],[f334,f1]) ).
fof(f334,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f333,f215]) ).
fof(f333,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c8 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f332,f221]) ).
fof(f221,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f199,f215]) ).
fof(f332,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_19 ),
inference(forward_demodulation,[],[f142,f221]) ).
fof(f331,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f329]) ).
fof(f329,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f319,f234]) ).
fof(f319,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(trivial_inequality_removal,[],[f313]) ).
fof(f313,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(superposition,[],[f303,f293]) ).
fof(f303,plain,
( ! [X7] :
( identity != multiply(identity,X7)
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(backward_demodulation,[],[f291,f293]) ).
fof(f291,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f290,f221]) ).
fof(f290,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f289,f215]) ).
fof(f289,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15
| ~ spl3_18 ),
inference(forward_demodulation,[],[f138,f215]) ).
fof(f288,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f286]) ).
fof(f286,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f282,f234]) ).
fof(f282,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f281,f234]) ).
fof(f281,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f276]) ).
fof(f276,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(superposition,[],[f267,f2]) ).
fof(f267,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f266,f214]) ).
fof(f266,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f265,f215]) ).
fof(f265,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_14
| ~ spl3_15 ),
inference(forward_demodulation,[],[f110,f215]) ).
fof(f264,plain,
( ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f263,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f262]) ).
fof(f262,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f261,f234]) ).
fof(f261,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f260,f234]) ).
fof(f260,plain,
( identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f257,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f247,f2]) ).
fof(f247,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f246,f221]) ).
fof(f246,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f245,f215]) ).
fof(f245,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl3_2
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_15 ),
inference(forward_demodulation,[],[f87,f215]) ).
fof(f244,plain,
( ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(trivial_inequality_removal,[],[f242]) ).
fof(f242,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(superposition,[],[f224,f1]) ).
fof(f224,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f203,f215]) ).
fof(f203,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl3_2
| ~ spl3_3
| spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_15 ),
inference(backward_demodulation,[],[f192,f199]) ).
fof(f192,plain,
( sk_c8 != multiply(sk_c7,sk_c8)
| ~ spl3_2
| spl3_4
| ~ spl3_6
| ~ spl3_15 ),
inference(backward_demodulation,[],[f63,f190]) ).
fof(f63,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl3_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f159,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f10,f62,f53]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f158,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f27,f67,f58]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f157,plain,
( spl3_10
| spl3_5 ),
inference(avatar_split_clause,[],[f33,f67,f90]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f156,plain,
( spl3_1
| spl3_15 ),
inference(avatar_split_clause,[],[f19,f113,f49]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f155,plain,
( spl3_6
| spl3_5 ),
inference(avatar_split_clause,[],[f9,f67,f72]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f154,plain,
( spl3_11
| spl3_7 ),
inference(avatar_split_clause,[],[f35,f77,f94]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f153,plain,
( spl3_6
| spl3_16 ),
inference(avatar_split_clause,[],[f8,f119,f72]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f152,plain,
( spl3_5
| spl3_15 ),
inference(avatar_split_clause,[],[f21,f113,f67]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f151,plain,
( spl3_6
| spl3_11 ),
inference(avatar_split_clause,[],[f5,f94,f72]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f150,plain,
( spl3_7
| spl3_16 ),
inference(avatar_split_clause,[],[f38,f119,f77]) ).
fof(f38,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f149,plain,
( spl3_10
| spl3_12 ),
inference(avatar_split_clause,[],[f30,f99,f90]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f148,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f20,f119,f113]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f147,plain,
( spl3_7
| spl3_12 ),
inference(avatar_split_clause,[],[f36,f99,f77]) ).
fof(f36,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f146,plain,
( spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f14,f119,f53]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f145,plain,
( spl3_4
| spl3_7 ),
inference(avatar_split_clause,[],[f34,f77,f62]) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f144,plain,
( spl3_4
| spl3_15 ),
inference(avatar_split_clause,[],[f16,f113,f62]) ).
fof(f16,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f143,plain,
( spl3_19
| ~ spl3_13
| ~ spl3_6
| ~ spl3_3
| ~ spl3_17
| ~ spl3_8
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f47,f62,f82,f133,f58,f72,f105,f141]) ).
fof(f105,plain,
( spl3_13
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f133,plain,
( spl3_17
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f82,plain,
( spl3_8
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f47,plain,
! [X5] :
( sk_c6 != multiply(sk_c7,sk_c8)
| ~ sP0
| ~ sP1
| sk_c7 != multiply(sk_c8,sk_c6)
| multiply(sk_c8,sk_c7) != sk_c6
| ~ sP2
| sk_c7 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f46,plain,
! [X4] :
( sk_c8 != inverse(X4)
| sP2
| sk_c6 != multiply(X4,sk_c8) ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f45,plain,
! [X4,X5] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f44,plain,
! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sP1
| sk_c8 != inverse(X7) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f43,plain,
! [X7,X4,X5] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8)
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f42,plain,
! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sP0 ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c6 != multiply(X4,sk_c8)
| sk_c8 != inverse(X3)
| multiply(X7,sk_c8) != X6
| sk_c7 != inverse(X5)
| multiply(sk_c8,sk_c7) != sk_c6
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f139,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f44,f137,f133]) ).
fof(f131,plain,
( spl3_10
| spl3_1 ),
inference(avatar_split_clause,[],[f31,f49,f90]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f130,plain,
( spl3_7
| spl3_1 ),
inference(avatar_split_clause,[],[f37,f49,f77]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f129,plain,
( spl3_15
| spl3_11 ),
inference(avatar_split_clause,[],[f17,f94,f113]) ).
fof(f17,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f128,plain,
( spl3_3
| spl3_16 ),
inference(avatar_split_clause,[],[f26,f119,f58]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f127,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f25,f58,f49]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f126,plain,
( spl3_11
| spl3_2 ),
inference(avatar_split_clause,[],[f11,f53,f94]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f125,plain,
( spl3_2
| spl3_12 ),
inference(avatar_split_clause,[],[f12,f99,f53]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f124,plain,
( spl3_4
| spl3_10 ),
inference(avatar_split_clause,[],[f28,f90,f62]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f123,plain,
( spl3_1
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f72,f49]) ).
fof(f7,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f122,plain,
( spl3_10
| spl3_16 ),
inference(avatar_split_clause,[],[f32,f119,f90]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f117,plain,
( spl3_3
| spl3_12 ),
inference(avatar_split_clause,[],[f24,f99,f58]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f116,plain,
( spl3_15
| spl3_12 ),
inference(avatar_split_clause,[],[f18,f99,f113]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f111,plain,
( spl3_13
| spl3_14 ),
inference(avatar_split_clause,[],[f46,f109,f105]) ).
fof(f103,plain,
( spl3_3
| spl3_11 ),
inference(avatar_split_clause,[],[f23,f94,f58]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f102,plain,
( spl3_12
| spl3_6 ),
inference(avatar_split_clause,[],[f6,f72,f99]) ).
fof(f6,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f97,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f29,f94,f90]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f88,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f42,f86,f82]) ).
fof(f80,plain,
( spl3_7
| spl3_5 ),
inference(avatar_split_clause,[],[f39,f67,f77]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( spl3_4
| spl3_6 ),
inference(avatar_split_clause,[],[f4,f72,f62]) ).
fof(f4,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f70,plain,
( spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f15,f67,f53]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f65,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f22,f62,f58]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f56,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f13,f53,f49]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP293-1 : 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_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:47:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (16754)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (16762)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 % (16760)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51 TRYING [2]
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (16770)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53 TRYING [4]
% 0.20/0.53 % (16749)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (16752)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16753)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (16772)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53 % (16751)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16750)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53 % (16748)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)
% 0.20/0.53 % (16757)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (16758)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (16761)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (16759)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (16773)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (16764)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)
% 0.20/0.54 % (16776)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (16774)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54 % (16777)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (16775)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)
% 0.20/0.55 % (16754)Instruction limit reached!
% 0.20/0.55 % (16754)------------------------------
% 0.20/0.55 % (16754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16765)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (16768)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)
% 0.20/0.55 % (16756)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (16769)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (16756)Instruction limit reached!
% 0.20/0.55 % (16756)------------------------------
% 0.20/0.55 % (16756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (16756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (16756)Termination reason: Unknown
% 0.20/0.55 % (16756)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (16756)Memory used [KB]: 5500
% 0.20/0.55 % (16756)Time elapsed: 0.150 s
% 0.20/0.55 % (16756)Instructions burned: 3 (million)
% 0.20/0.55 % (16756)------------------------------
% 0.20/0.55 % (16756)------------------------------
% 0.20/0.55 % (16767)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (16754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (16754)Termination reason: Unknown
% 0.20/0.55 % (16754)Termination phase: Finite model building SAT solving
% 0.20/0.55
% 0.20/0.55 % (16754)Memory used [KB]: 7036
% 0.20/0.55 % (16754)Time elapsed: 0.133 s
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (16754)Instructions burned: 54 (million)
% 0.20/0.55 % (16754)------------------------------
% 0.20/0.55 % (16754)------------------------------
% 0.20/0.55 TRYING [2]
% 0.20/0.56 % (16766)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (16758)First to succeed.
% 0.20/0.57 % (16758)Refutation found. Thanks to Tanya!
% 0.20/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (16758)------------------------------
% 0.20/0.57 % (16758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (16758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (16758)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (16758)Memory used [KB]: 5756
% 0.20/0.57 % (16758)Time elapsed: 0.170 s
% 0.20/0.57 % (16758)Instructions burned: 22 (million)
% 0.20/0.57 % (16758)------------------------------
% 0.20/0.57 % (16758)------------------------------
% 0.20/0.57 % (16747)Success in time 0.214 s
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