TSTP Solution File: GRP338-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n013.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 : Thu Aug 31 01:23:22 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 68
% Syntax : Number of formulae : 501 ( 29 unt; 0 def)
% Number of atoms : 1879 ( 650 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2495 (1117 ~;1364 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 27 con; 0-2 aty)
% Number of variables : 116 (; 116 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4337,plain,
$false,
inference(avatar_sat_refutation,[],[f131,f145,f149,f221,f454,f521,f549,f747,f1029,f1082,f1097,f1281,f1489,f1503,f1508,f1510,f1518,f1606,f1608,f2356,f2388,f2403,f2430,f2663,f2690,f2886,f2954,f3304,f3313,f3322,f3330,f3340,f3341,f3452,f4151,f4314,f4320,f4328,f4334]) ).
fof(f4334,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f4333]) ).
fof(f4333,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f3620,f3492]) ).
fof(f3492,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(forward_demodulation,[],[f1,f711]) ).
fof(f711,plain,
( identity = sk_c11
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(backward_demodulation,[],[f622,f704]) ).
fof(f704,plain,
( sk_c11 = multiply(sk_c8,sk_c6)
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(forward_demodulation,[],[f702,f552]) ).
fof(f552,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl15_12 ),
inference(backward_demodulation,[],[f68,f520]) ).
fof(f520,plain,
( sk_c8 = sF6
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl15_12
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f68,plain,
inverse(sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f702,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl15_2
| spl15_3 ),
inference(superposition,[],[f188,f679]) ).
fof(f679,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_3 ),
inference(forward_demodulation,[],[f673,f580]) ).
fof(f580,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| spl15_3 ),
inference(backward_demodulation,[],[f89,f577]) ).
fof(f577,plain,
( sk_c6 = sF10
| spl15_3 ),
inference(subsumption_resolution,[],[f91,f139]) ).
fof(f139,plain,
( sk_c10 != sF2
| spl15_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl15_3
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f91,plain,
( sk_c10 = sF2
| sk_c6 = sF10 ),
inference(definition_folding,[],[f53,f89,f60]) ).
fof(f60,plain,
inverse(sk_c2) = sF2,
introduced(function_definition,[]) ).
fof(f53,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_50) ).
fof(f89,plain,
multiply(sk_c7,sk_c8) = sF10,
introduced(function_definition,[]) ).
fof(f673,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_3 ),
inference(superposition,[],[f582,f598]) ).
fof(f598,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_2
| spl15_3 ),
inference(backward_demodulation,[],[f482,f597]) ).
fof(f597,plain,
( sk_c11 = sF12
| spl15_3 ),
inference(subsumption_resolution,[],[f96,f139]) ).
fof(f96,plain,
( sk_c10 = sF2
| sk_c11 = sF12 ),
inference(definition_folding,[],[f48,f95,f60]) ).
fof(f95,plain,
multiply(sk_c5,sk_c8) = sF12,
introduced(function_definition,[]) ).
fof(f48,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_45) ).
fof(f482,plain,
( sk_c8 = multiply(sk_c8,sF12)
| ~ spl15_2 ),
inference(forward_demodulation,[],[f480,f132]) ).
fof(f132,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_2 ),
inference(backward_demodulation,[],[f57,f130]) ).
fof(f130,plain,
( sk_c8 = sF0
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl15_2
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f57,plain,
inverse(sk_c5) = sF0,
introduced(function_definition,[]) ).
fof(f480,plain,
sk_c8 = multiply(inverse(sk_c5),sF12),
inference(superposition,[],[f188,f95]) ).
fof(f582,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl15_3 ),
inference(superposition,[],[f3,f580]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',associativity) ).
fof(f188,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f173,f1]) ).
fof(f173,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/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',left_inverse) ).
fof(f622,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl15_12 ),
inference(superposition,[],[f2,f552]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',left_identity) ).
fof(f3620,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(trivial_inequality_removal,[],[f3618]) ).
fof(f3618,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(superposition,[],[f3612,f3468]) ).
fof(f3468,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(backward_demodulation,[],[f2675,f812]) ).
fof(f812,plain,
( sk_c11 = sk_c3
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(superposition,[],[f718,f716]) ).
fof(f716,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(backward_demodulation,[],[f1,f711]) ).
fof(f718,plain,
( sk_c11 = multiply(sk_c11,sk_c3)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(backward_demodulation,[],[f164,f711]) ).
fof(f164,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl15_4 ),
inference(superposition,[],[f2,f151]) ).
fof(f151,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_4 ),
inference(backward_demodulation,[],[f76,f144]) ).
fof(f144,plain,
( sk_c11 = sF8
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl15_4
<=> sk_c11 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f76,plain,
inverse(sk_c3) = sF8,
introduced(function_definition,[]) ).
fof(f2675,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f76,f144]) ).
fof(f3612,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(forward_demodulation,[],[f3611,f3342]) ).
fof(f3342,plain,
( sk_c10 = sk_c11
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(backward_demodulation,[],[f605,f756]) ).
fof(f756,plain,
( sk_c11 = sF13
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(backward_demodulation,[],[f605,f737]) ).
fof(f737,plain,
( sk_c10 = sk_c11
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(superposition,[],[f716,f606]) ).
fof(f606,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| spl15_3
| ~ spl15_4 ),
inference(backward_demodulation,[],[f486,f605]) ).
fof(f486,plain,
( sk_c11 = multiply(sk_c11,sF13)
| ~ spl15_4 ),
inference(forward_demodulation,[],[f484,f151]) ).
fof(f484,plain,
sk_c11 = multiply(inverse(sk_c3),sF13),
inference(superposition,[],[f188,f98]) ).
fof(f98,plain,
multiply(sk_c3,sk_c11) = sF13,
introduced(function_definition,[]) ).
fof(f605,plain,
( sk_c10 = sF13
| spl15_3 ),
inference(subsumption_resolution,[],[f100,f139]) ).
fof(f100,plain,
( sk_c10 = sF2
| sk_c10 = sF13 ),
inference(definition_folding,[],[f44,f98,f60]) ).
fof(f44,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_41) ).
fof(f3611,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_7
| ~ spl15_12 ),
inference(forward_demodulation,[],[f211,f3342]) ).
fof(f211,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl15_7 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f210,plain,
( spl15_7
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f4328,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4327,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4324,f3492]) ).
fof(f4324,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12 ),
inference(trivial_inequality_removal,[],[f3606]) ).
fof(f3606,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12 ),
inference(superposition,[],[f3596,f3468]) ).
fof(f3596,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_10
| ~ spl15_12 ),
inference(forward_demodulation,[],[f220,f3342]) ).
fof(f220,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) )
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl15_10
<=> ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f4320,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f4319]) ).
fof(f4319,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4127,f3492]) ).
fof(f4127,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12 ),
inference(trivial_inequality_removal,[],[f4124]) ).
fof(f4124,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12 ),
inference(superposition,[],[f4122,f3468]) ).
fof(f4122,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c11) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f4121,f3347]) ).
fof(f3347,plain,
( sk_c11 = sk_c9
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_5
| ~ spl15_12 ),
inference(backward_demodulation,[],[f204,f810]) ).
fof(f810,plain,
( sk_c11 = sF5
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(forward_demodulation,[],[f809,f716]) ).
fof(f809,plain,
( sF5 = multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_12 ),
inference(forward_demodulation,[],[f66,f737]) ).
fof(f66,plain,
multiply(sk_c10,sk_c11) = sF5,
introduced(function_definition,[]) ).
fof(f204,plain,
( sk_c9 = sF5
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f203,plain,
( spl15_5
<=> sk_c9 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f4121,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f4120,f3342]) ).
fof(f4120,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_9
| ~ spl15_12 ),
inference(forward_demodulation,[],[f217,f3342]) ).
fof(f217,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f216,plain,
( spl15_9
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f4314,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
fof(f4313,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4312,f3468]) ).
fof(f4312,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(equality_resolution,[],[f4167]) ).
fof(f4167,plain,
( ! [X2] :
( sk_c11 != X2
| inverse(X2) != X2 )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4066,f3492]) ).
fof(f4066,plain,
( ! [X2] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X2) != X2
| sk_c11 != X2 )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f4065,f3468]) ).
fof(f4065,plain,
( ! [X2] :
( inverse(X2) != X2
| sk_c11 != X2
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f4064,f4012]) ).
fof(f4012,plain,
( ! [X0] : multiply(X0,sk_c11) = X0
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(superposition,[],[f237,f3584]) ).
fof(f3584,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c11) = X0
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(superposition,[],[f188,f3579]) ).
fof(f3579,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c11
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(forward_demodulation,[],[f2,f711]) ).
fof(f237,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f188,f188]) ).
fof(f4064,plain,
( ! [X2] :
( inverse(X2) != multiply(X2,sk_c11)
| sk_c11 != X2
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f4063,f3468]) ).
fof(f4063,plain,
( ! [X2] :
( sk_c11 != X2
| inverse(X2) != multiply(X2,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4054,f3579]) ).
fof(f4054,plain,
( ! [X2] :
( sk_c11 != X2
| sk_c11 != multiply(inverse(sk_c11),sk_c11)
| inverse(X2) != multiply(X2,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(superposition,[],[f4047,f3468]) ).
fof(f4047,plain,
( ! [X9,X7] :
( inverse(X7) != X9
| sk_c11 != multiply(inverse(X7),sk_c11)
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(backward_demodulation,[],[f3623,f4026]) ).
fof(f4026,plain,
( ! [X3] : inverse(inverse(X3)) = X3
| ~ spl15_2
| spl15_3
| ~ spl15_12 ),
inference(superposition,[],[f4012,f3584]) ).
fof(f3623,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_6
| ~ spl15_12 ),
inference(forward_demodulation,[],[f208,f3342]) ).
fof(f208,plain,
( ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) )
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f207,plain,
( spl15_6
<=> ! [X9,X7] :
( inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f4151,plain,
( ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f4150]) ).
fof(f4150,plain,
( $false
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f4130,f3492]) ).
fof(f4130,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12 ),
inference(trivial_inequality_removal,[],[f4114]) ).
fof(f4114,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12 ),
inference(superposition,[],[f4092,f3468]) ).
fof(f4092,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| ~ spl15_2
| spl15_3
| ~ spl15_4
| ~ spl15_8
| ~ spl15_12 ),
inference(forward_demodulation,[],[f214,f3342]) ).
fof(f214,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) )
| ~ spl15_8 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl15_8
<=> ! [X5] :
( sk_c11 != inverse(X5)
| sk_c10 != multiply(X5,sk_c11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f3452,plain,
( spl15_3
| spl15_12 ),
inference(avatar_contradiction_clause,[],[f3451]) ).
fof(f3451,plain,
( $false
| spl15_3
| spl15_12 ),
inference(subsumption_resolution,[],[f545,f139]) ).
fof(f545,plain,
( sk_c10 = sF2
| spl15_12 ),
inference(subsumption_resolution,[],[f70,f519]) ).
fof(f519,plain,
( sk_c8 != sF6
| spl15_12 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f70,plain,
( sk_c8 = sF6
| sk_c10 = sF2 ),
inference(definition_folding,[],[f52,f60,f68]) ).
fof(f52,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_49) ).
fof(f3341,plain,
( spl15_14
| spl15_3 ),
inference(avatar_split_clause,[],[f562,f138,f1079]) ).
fof(f1079,plain,
( spl15_14
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f562,plain,
( sk_c10 = sF7
| spl15_3 ),
inference(subsumption_resolution,[],[f79,f139]) ).
fof(f79,plain,
( sk_c10 = sF7
| sk_c10 = sF2 ),
inference(definition_folding,[],[f47,f60,f74]) ).
fof(f74,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f47,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_44) ).
fof(f3340,plain,
( spl15_2
| spl15_11 ),
inference(avatar_contradiction_clause,[],[f3339]) ).
fof(f3339,plain,
( $false
| spl15_2
| spl15_11 ),
inference(subsumption_resolution,[],[f1504,f515]) ).
fof(f515,plain,
( sk_c11 != sF3
| spl15_11 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl15_11
<=> sk_c11 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f1504,plain,
( sk_c11 = sF3
| spl15_2 ),
inference(subsumption_resolution,[],[f63,f129]) ).
fof(f129,plain,
( sk_c8 != sF0
| spl15_2 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f63,plain,
( sk_c8 = sF0
| sk_c11 = sF3 ),
inference(definition_folding,[],[f29,f62,f57]) ).
fof(f62,plain,
multiply(sk_c1,sk_c10) = sF3,
introduced(function_definition,[]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_26) ).
fof(f3330,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(avatar_contradiction_clause,[],[f3329]) ).
fof(f3329,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(subsumption_resolution,[],[f3328,f2730]) ).
fof(f2730,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f1,f399]) ).
fof(f399,plain,
( identity = sk_c11
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f398,f327]) ).
fof(f327,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2 ),
inference(forward_demodulation,[],[f320,f159]) ).
fof(f159,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| spl15_1 ),
inference(backward_demodulation,[],[f95,f158]) ).
fof(f158,plain,
( sk_c11 = sF12
| spl15_1 ),
inference(subsumption_resolution,[],[f97,f125]) ).
fof(f125,plain,
( sk_c11 != sF1
| spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl15_1
<=> sk_c11 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f97,plain,
( sk_c11 = sF1
| sk_c11 = sF12 ),
inference(definition_folding,[],[f18,f95,f58]) ).
fof(f58,plain,
inverse(sk_c1) = sF1,
introduced(function_definition,[]) ).
fof(f18,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_15) ).
fof(f320,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2 ),
inference(superposition,[],[f179,f260]) ).
fof(f260,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| spl15_1
| ~ spl15_2 ),
inference(forward_demodulation,[],[f248,f132]) ).
fof(f248,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| spl15_1 ),
inference(superposition,[],[f188,f159]) ).
fof(f179,plain,
( ! [X13] : multiply(sk_c5,multiply(sk_c8,X13)) = multiply(sk_c11,X13)
| spl15_1 ),
inference(superposition,[],[f3,f159]) ).
fof(f398,plain,
( identity = multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(superposition,[],[f2,f394]) ).
fof(f394,plain,
( sk_c11 = inverse(sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f374,f387]) ).
fof(f387,plain,
( sk_c11 = sk_c6
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f384,f327]) ).
fof(f384,plain,
( sk_c6 = multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f270,f366]) ).
fof(f366,plain,
( sk_c11 = sk_c8
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f260,f339]) ).
fof(f339,plain,
( sk_c11 = multiply(sk_c8,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f337,f132]) ).
fof(f337,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| spl15_1
| ~ spl15_4 ),
inference(superposition,[],[f188,f326]) ).
fof(f326,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| spl15_1
| ~ spl15_4 ),
inference(forward_demodulation,[],[f319,f223]) ).
fof(f223,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| spl15_1
| ~ spl15_4 ),
inference(superposition,[],[f190,f161]) ).
fof(f161,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| spl15_1 ),
inference(backward_demodulation,[],[f98,f160]) ).
fof(f160,plain,
( sk_c10 = sF13
| spl15_1 ),
inference(subsumption_resolution,[],[f99,f125]) ).
fof(f99,plain,
( sk_c11 = sF1
| sk_c10 = sF13 ),
inference(definition_folding,[],[f14,f98,f58]) ).
fof(f14,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_11) ).
fof(f190,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c3,X10)) = X10
| ~ spl15_4 ),
inference(forward_demodulation,[],[f176,f1]) ).
fof(f176,plain,
( ! [X10] : multiply(sk_c11,multiply(sk_c3,X10)) = multiply(identity,X10)
| ~ spl15_4 ),
inference(superposition,[],[f3,f164]) ).
fof(f319,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| spl15_1 ),
inference(superposition,[],[f179,f163]) ).
fof(f163,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| spl15_1 ),
inference(backward_demodulation,[],[f101,f162]) ).
fof(f162,plain,
( sk_c11 = sF14
| spl15_1 ),
inference(subsumption_resolution,[],[f103,f125]) ).
fof(f103,plain,
( sk_c11 = sF1
| sk_c11 = sF14 ),
inference(definition_folding,[],[f20,f101,f58]) ).
fof(f20,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_17) ).
fof(f101,plain,
multiply(sk_c8,sk_c10) = sF14,
introduced(function_definition,[]) ).
fof(f270,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| spl15_1 ),
inference(forward_demodulation,[],[f268,f134]) ).
fof(f134,plain,
( sk_c8 = inverse(sk_c6)
| spl15_1 ),
inference(backward_demodulation,[],[f68,f133]) ).
fof(f133,plain,
( sk_c8 = sF6
| spl15_1 ),
inference(subsumption_resolution,[],[f69,f125]) ).
fof(f69,plain,
( sk_c8 = sF6
| sk_c11 = sF1 ),
inference(definition_folding,[],[f22,f58,f68]) ).
fof(f22,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_19) ).
fof(f268,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c8)
| spl15_1 ),
inference(superposition,[],[f188,f261]) ).
fof(f261,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| spl15_1 ),
inference(forward_demodulation,[],[f252,f153]) ).
fof(f153,plain,
( inverse(sk_c7) = sk_c6
| spl15_1 ),
inference(backward_demodulation,[],[f86,f152]) ).
fof(f152,plain,
( sk_c6 = sF9
| spl15_1 ),
inference(subsumption_resolution,[],[f88,f125]) ).
fof(f88,plain,
( sk_c11 = sF1
| sk_c6 = sF9 ),
inference(definition_folding,[],[f21,f86,f58]) ).
fof(f21,axiom,
( sk_c11 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_18) ).
fof(f86,plain,
inverse(sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f252,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| spl15_1 ),
inference(superposition,[],[f188,f155]) ).
fof(f155,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| spl15_1 ),
inference(backward_demodulation,[],[f89,f154]) ).
fof(f154,plain,
( sk_c6 = sF10
| spl15_1 ),
inference(subsumption_resolution,[],[f90,f125]) ).
fof(f90,plain,
( sk_c11 = sF1
| sk_c6 = sF10 ),
inference(definition_folding,[],[f23,f89,f58]) ).
fof(f23,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_20) ).
fof(f374,plain,
( sk_c11 = inverse(sk_c6)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f134,f366]) ).
fof(f3328,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(trivial_inequality_removal,[],[f3325]) ).
fof(f3325,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(superposition,[],[f3324,f2776]) ).
fof(f2776,plain,
( sk_c11 = inverse(sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f2706,f2767]) ).
fof(f2767,plain,
( sk_c11 = sk_c5
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(superposition,[],[f2753,f2730]) ).
fof(f2753,plain,
( sk_c11 = multiply(sk_c11,sk_c5)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f2752,f399]) ).
fof(f2752,plain,
( identity = multiply(sk_c11,sk_c5)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f1701,f2695]) ).
fof(f2695,plain,
( sk_c11 = sk_c8
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f130,f371]) ).
fof(f371,plain,
( sk_c11 = sF0
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f130,f366]) ).
fof(f1701,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl15_2 ),
inference(superposition,[],[f2,f1620]) ).
fof(f1620,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl15_2 ),
inference(forward_demodulation,[],[f57,f130]) ).
fof(f2706,plain,
( sk_c11 = inverse(sk_c5)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f1620,f2695]) ).
fof(f3324,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(forward_demodulation,[],[f3323,f2699]) ).
fof(f2699,plain,
( sk_c10 = sk_c11
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(backward_demodulation,[],[f140,f421]) ).
fof(f421,plain,
( sk_c11 = sF2
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4 ),
inference(backward_demodulation,[],[f140,f410]) ).
fof(f410,plain,
( sk_c10 = sk_c11
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(superposition,[],[f400,f223]) ).
fof(f400,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f1,f399]) ).
fof(f140,plain,
( sk_c10 = sF2
| ~ spl15_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f3323,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_7 ),
inference(forward_demodulation,[],[f211,f2699]) ).
fof(f3322,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(avatar_contradiction_clause,[],[f3321]) ).
fof(f3321,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(subsumption_resolution,[],[f3320,f2730]) ).
fof(f3320,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(trivial_inequality_removal,[],[f3317]) ).
fof(f3317,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(superposition,[],[f3316,f2776]) ).
fof(f3316,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c11) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(forward_demodulation,[],[f3315,f450]) ).
fof(f450,plain,
( sk_c11 = sk_c9
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f422,f436]) ).
fof(f436,plain,
( sk_c11 = multiply(sk_c4,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f406,f408]) ).
fof(f408,plain,
( sk_c4 = sk_c7
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f355,f400]) ).
fof(f355,plain,
( sk_c7 = multiply(sk_c11,sk_c4)
| spl15_1 ),
inference(forward_demodulation,[],[f348,f262]) ).
fof(f262,plain,
( sk_c7 = multiply(sk_c8,identity)
| spl15_1 ),
inference(forward_demodulation,[],[f253,f134]) ).
fof(f253,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| spl15_1 ),
inference(superposition,[],[f188,f167]) ).
fof(f167,plain,
( identity = multiply(sk_c6,sk_c7)
| spl15_1 ),
inference(superposition,[],[f2,f153]) ).
fof(f348,plain,
( multiply(sk_c8,identity) = multiply(sk_c11,sk_c4)
| spl15_1 ),
inference(superposition,[],[f180,f165]) ).
fof(f165,plain,
( identity = multiply(sk_c10,sk_c4)
| spl15_1 ),
inference(superposition,[],[f2,f136]) ).
fof(f136,plain,
( sk_c10 = inverse(sk_c4)
| spl15_1 ),
inference(backward_demodulation,[],[f74,f135]) ).
fof(f135,plain,
( sk_c10 = sF7
| spl15_1 ),
inference(subsumption_resolution,[],[f75,f125]) ).
fof(f75,plain,
( sk_c10 = sF7
| sk_c11 = sF1 ),
inference(definition_folding,[],[f17,f58,f74]) ).
fof(f17,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_14) ).
fof(f180,plain,
( ! [X14] : multiply(sk_c8,multiply(sk_c10,X14)) = multiply(sk_c11,X14)
| spl15_1 ),
inference(superposition,[],[f3,f163]) ).
fof(f406,plain,
( sk_c11 = multiply(sk_c7,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f375,f387]) ).
fof(f375,plain,
( sk_c6 = multiply(sk_c7,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f155,f366]) ).
fof(f422,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f157,f410]) ).
fof(f157,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| spl15_1 ),
inference(backward_demodulation,[],[f92,f156]) ).
fof(f156,plain,
( sk_c9 = sF11
| spl15_1 ),
inference(subsumption_resolution,[],[f94,f125]) ).
fof(f94,plain,
( sk_c11 = sF1
| sk_c9 = sF11 ),
inference(definition_folding,[],[f16,f92,f58]) ).
fof(f16,axiom,
( sk_c11 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_13) ).
fof(f92,plain,
multiply(sk_c4,sk_c10) = sF11,
introduced(function_definition,[]) ).
fof(f3315,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(forward_demodulation,[],[f3314,f2699]) ).
fof(f3314,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_9 ),
inference(forward_demodulation,[],[f217,f2699]) ).
fof(f3313,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10 ),
inference(avatar_contradiction_clause,[],[f3312]) ).
fof(f3312,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10 ),
inference(subsumption_resolution,[],[f3311,f2730]) ).
fof(f3311,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10 ),
inference(trivial_inequality_removal,[],[f3308]) ).
fof(f3308,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10 ),
inference(superposition,[],[f3307,f2776]) ).
fof(f3307,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_10 ),
inference(forward_demodulation,[],[f220,f2699]) ).
fof(f3304,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(avatar_contradiction_clause,[],[f3303]) ).
fof(f3303,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(subsumption_resolution,[],[f3302,f2776]) ).
fof(f3302,plain,
( sk_c11 != inverse(sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f3301,f2730]) ).
fof(f3301,plain,
( inverse(sk_c11) != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(subsumption_resolution,[],[f3298,f2776]) ).
fof(f3298,plain,
( sk_c11 != inverse(sk_c11)
| inverse(sk_c11) != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(superposition,[],[f2973,f2776]) ).
fof(f2973,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(subsumption_resolution,[],[f2972,f2730]) ).
fof(f2972,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f2971,f2776]) ).
fof(f2971,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f2970,f2776]) ).
fof(f2970,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f2969,f2776]) ).
fof(f2969,plain,
( ! [X0] :
( inverse(sk_c11) != inverse(inverse(X0))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(subsumption_resolution,[],[f2964,f2730]) ).
fof(f2964,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(sk_c11) != inverse(inverse(X0))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| sk_c11 != multiply(sk_c11,inverse(sk_c11)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(superposition,[],[f2955,f2776]) ).
fof(f2955,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_6 ),
inference(forward_demodulation,[],[f208,f2699]) ).
fof(f2954,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8 ),
inference(subsumption_resolution,[],[f2952,f2730]) ).
fof(f2952,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8 ),
inference(trivial_inequality_removal,[],[f2950]) ).
fof(f2950,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8 ),
inference(superposition,[],[f2941,f2776]) ).
fof(f2941,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| spl15_1
| ~ spl15_2
| ~ spl15_3
| ~ spl15_4
| ~ spl15_8 ),
inference(forward_demodulation,[],[f214,f2699]) ).
fof(f2886,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_12 ),
inference(avatar_contradiction_clause,[],[f2885]) ).
fof(f2885,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_12 ),
inference(subsumption_resolution,[],[f2884,f2695]) ).
fof(f2884,plain,
( sk_c11 != sk_c8
| spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_12 ),
inference(forward_demodulation,[],[f519,f373]) ).
fof(f373,plain,
( sk_c11 = sF6
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f133,f366]) ).
fof(f2690,plain,
( spl15_14
| spl15_1 ),
inference(avatar_split_clause,[],[f135,f124,f1079]) ).
fof(f2663,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f2662]) ).
fof(f2662,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2661,f1636]) ).
fof(f1636,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1635,f1520]) ).
fof(f1520,plain,
( sk_c10 = sk_c11
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f140,f1204]) ).
fof(f1204,plain,
( sk_c11 = sF2
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f140,f1199]) ).
fof(f1199,plain,
( sk_c10 = sk_c11
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1198,f1035]) ).
fof(f1035,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f62,f516]) ).
fof(f516,plain,
( sk_c11 = sF3
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f1198,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1192,f1038]) ).
fof(f1038,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1036,f457]) ).
fof(f457,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl15_1 ),
inference(backward_demodulation,[],[f58,f126]) ).
fof(f126,plain,
( sk_c11 = sF1
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f1036,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl15_11 ),
inference(superposition,[],[f188,f1035]) ).
fof(f1192,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c11,sk_c11)
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f1037,f1086]) ).
fof(f1086,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl15_3
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1084,f853]) ).
fof(f853,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl15_3 ),
inference(backward_demodulation,[],[f60,f140]) ).
fof(f1084,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c11)
| ~ spl15_13 ),
inference(superposition,[],[f188,f1083]) ).
fof(f1083,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl15_13 ),
inference(backward_demodulation,[],[f64,f1077]) ).
fof(f1077,plain,
( sk_c11 = sF4
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1075,plain,
( spl15_13
<=> sk_c11 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f64,plain,
multiply(sk_c2,sk_c10) = sF4,
introduced(function_definition,[]) ).
fof(f1037,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl15_11 ),
inference(superposition,[],[f3,f1035]) ).
fof(f1635,plain,
( sk_c11 = multiply(sk_c10,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f66,f1214]) ).
fof(f1214,plain,
( sk_c11 = sF5
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1101,f1199]) ).
fof(f1101,plain,
( sk_c10 = sF5
| ~ spl15_3
| ~ spl15_13 ),
inference(backward_demodulation,[],[f66,f1086]) ).
fof(f2661,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(trivial_inequality_removal,[],[f2655]) ).
fof(f2655,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f2643,f1797]) ).
fof(f1797,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f457,f1795]) ).
fof(f1795,plain,
( sk_c11 = sk_c1
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1788,f1637]) ).
fof(f1637,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f188,f1636]) ).
fof(f1788,plain,
( sk_c1 = multiply(inverse(sk_c11),sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f499,f1741]) ).
fof(f1741,plain,
( identity = sk_c11
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f1637,f2]) ).
fof(f499,plain,
( sk_c1 = multiply(inverse(sk_c11),identity)
| ~ spl15_1 ),
inference(superposition,[],[f188,f498]) ).
fof(f498,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f169,f126]) ).
fof(f169,plain,
identity = multiply(sF1,sk_c1),
inference(superposition,[],[f2,f58]) ).
fof(f2643,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c11 != multiply(X6,sk_c11) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1716,f2516]) ).
fof(f2516,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f204,f1214]) ).
fof(f1716,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c11)
| sk_c11 != inverse(X6) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1715,f1520]) ).
fof(f1715,plain,
( ! [X6] :
( sk_c11 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_9
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f217,f1520]) ).
fof(f2430,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2429,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2428,f1636]) ).
fof(f2428,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(trivial_inequality_removal,[],[f2422]) ).
fof(f2422,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f2404,f1797]) ).
fof(f2404,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_10
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f220,f1520]) ).
fof(f2403,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f2402]) ).
fof(f2402,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2401,f1636]) ).
fof(f2401,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(trivial_inequality_removal,[],[f2396]) ).
fof(f2396,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f2390,f1797]) ).
fof(f2390,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c11) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f2389,f1520]) ).
fof(f2389,plain,
( ! [X4] :
( sk_c11 != inverse(X4)
| sk_c11 != multiply(X4,sk_c10) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_7
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f211,f1520]) ).
fof(f2388,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2386,f1636]) ).
fof(f2386,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(trivial_inequality_removal,[],[f2381]) ).
fof(f2381,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f2364,f1797]) ).
fof(f2364,plain,
( ! [X5] :
( sk_c11 != inverse(X5)
| sk_c11 != multiply(X5,sk_c11) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_8
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f214,f1520]) ).
fof(f2356,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2355,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2354,f1797]) ).
fof(f2354,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f2353,f1636]) ).
fof(f2353,plain,
( inverse(sk_c11) != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f2348,f1797]) ).
fof(f2348,plain,
( sk_c11 != inverse(sk_c11)
| inverse(sk_c11) != multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f1779,f1797]) ).
fof(f1779,plain,
( ! [X5] :
( sk_c11 != inverse(inverse(X5))
| multiply(X5,sk_c11) != inverse(X5) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1778,f1626]) ).
fof(f1626,plain,
( sk_c11 = multiply(sk_c1,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1540,f1520]) ).
fof(f1540,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl15_11 ),
inference(forward_demodulation,[],[f62,f516]) ).
fof(f1778,plain,
( ! [X5] :
( sk_c11 != multiply(sk_c1,sk_c11)
| multiply(X5,sk_c11) != inverse(X5)
| sk_c11 != inverse(inverse(X5)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1777,f457]) ).
fof(f1777,plain,
( ! [X5] :
( multiply(X5,sk_c11) != inverse(X5)
| sk_c11 != inverse(inverse(X5))
| sk_c11 != multiply(sk_c1,inverse(sk_c1)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1776,f457]) ).
fof(f1776,plain,
( ! [X5] :
( sk_c11 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,inverse(sk_c1))
| sk_c11 != multiply(sk_c1,inverse(sk_c1)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1775,f457]) ).
fof(f1775,plain,
( ! [X5] :
( inverse(sk_c1) != inverse(inverse(X5))
| inverse(X5) != multiply(X5,inverse(sk_c1))
| sk_c11 != multiply(sk_c1,inverse(sk_c1)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1751,f1636]) ).
fof(f1751,plain,
( ! [X5] :
( sk_c11 != multiply(sk_c11,sk_c11)
| inverse(sk_c1) != inverse(inverse(X5))
| inverse(X5) != multiply(X5,inverse(sk_c1))
| sk_c11 != multiply(sk_c1,inverse(sk_c1)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(superposition,[],[f1738,f457]) ).
fof(f1738,plain,
( ! [X9,X7] :
( sk_c11 != multiply(inverse(X7),sk_c11)
| inverse(X7) != inverse(inverse(X9))
| inverse(X9) != multiply(X9,inverse(X7))
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl15_1
| ~ spl15_3
| ~ spl15_6
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f208,f1520]) ).
fof(f1608,plain,
( spl15_13
| spl15_12 ),
inference(avatar_split_clause,[],[f529,f518,f1075]) ).
fof(f529,plain,
( sk_c11 = sF4
| spl15_12 ),
inference(subsumption_resolution,[],[f72,f519]) ).
fof(f72,plain,
( sk_c8 = sF6
| sk_c11 = sF4 ),
inference(definition_folding,[],[f42,f64,f68]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_39) ).
fof(f1606,plain,
( ~ spl15_1
| ~ spl15_3
| spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f1605]) ).
fof(f1605,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1604,f1215]) ).
fof(f1215,plain,
( sk_c11 != sk_c9
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1104,f1199]) ).
fof(f1104,plain,
( sk_c10 != sk_c9
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(backward_demodulation,[],[f205,f1101]) ).
fof(f205,plain,
( sk_c9 != sF5
| spl15_5 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f1604,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_3
| spl15_4
| ~ spl15_11
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1603,f1214]) ).
fof(f1603,plain,
( sk_c9 = sF5
| spl15_4 ),
inference(subsumption_resolution,[],[f85,f143]) ).
fof(f143,plain,
( sk_c11 != sF8
| spl15_4 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f85,plain,
( sk_c11 = sF8
| sk_c9 = sF5 ),
inference(definition_folding,[],[f5,f66,f76]) ).
fof(f5,axiom,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_2) ).
fof(f1518,plain,
( spl15_4
| spl15_11 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1517,plain,
( $false
| spl15_4
| spl15_11 ),
inference(subsumption_resolution,[],[f1515,f143]) ).
fof(f1515,plain,
( sk_c11 = sF8
| spl15_11 ),
inference(subsumption_resolution,[],[f82,f515]) ).
fof(f82,plain,
( sk_c11 = sF8
| sk_c11 = sF3 ),
inference(definition_folding,[],[f25,f62,f76]) ).
fof(f25,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_22) ).
fof(f1510,plain,
( spl15_2
| spl15_13 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| spl15_2
| spl15_13 ),
inference(subsumption_resolution,[],[f1495,f129]) ).
fof(f1495,plain,
( sk_c8 = sF0
| spl15_13 ),
inference(subsumption_resolution,[],[f65,f1076]) ).
fof(f1076,plain,
( sk_c11 != sF4
| spl15_13 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f65,plain,
( sk_c8 = sF0
| sk_c11 = sF4 ),
inference(definition_folding,[],[f39,f64,f57]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_36) ).
fof(f1508,plain,
( spl15_2
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| spl15_2
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1506,f1104]) ).
fof(f1506,plain,
( sk_c10 = sk_c9
| spl15_2
| ~ spl15_3
| ~ spl15_13 ),
inference(forward_demodulation,[],[f1500,f1101]) ).
fof(f1500,plain,
( sk_c9 = sF5
| spl15_2 ),
inference(subsumption_resolution,[],[f67,f129]) ).
fof(f67,plain,
( sk_c8 = sF0
| sk_c9 = sF5 ),
inference(definition_folding,[],[f9,f66,f57]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_6) ).
fof(f1503,plain,
( spl15_2
| spl15_3 ),
inference(avatar_contradiction_clause,[],[f1502]) ).
fof(f1502,plain,
( $false
| spl15_2
| spl15_3 ),
inference(subsumption_resolution,[],[f1498,f139]) ).
fof(f1498,plain,
( sk_c10 = sF2
| spl15_2 ),
inference(subsumption_resolution,[],[f61,f129]) ).
fof(f61,plain,
( sk_c8 = sF0
| sk_c10 = sF2 ),
inference(definition_folding,[],[f49,f60,f57]) ).
fof(f49,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_46) ).
fof(f1489,plain,
( ~ spl15_2
| ~ spl15_3
| ~ spl15_11
| ~ spl15_12
| spl15_13 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| ~ spl15_2
| ~ spl15_3
| ~ spl15_11
| ~ spl15_12
| spl15_13 ),
inference(subsumption_resolution,[],[f1479,f1076]) ).
fof(f1479,plain,
( sk_c11 = sF4
| ~ spl15_2
| ~ spl15_3
| ~ spl15_11
| ~ spl15_12
| spl15_13 ),
inference(superposition,[],[f1403,f1454]) ).
fof(f1454,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_2
| ~ spl15_12
| spl15_13 ),
inference(backward_demodulation,[],[f1,f1449]) ).
fof(f1449,plain,
( identity = sk_c11
| ~ spl15_2
| ~ spl15_12
| spl15_13 ),
inference(backward_demodulation,[],[f622,f1444]) ).
fof(f1444,plain,
( sk_c11 = multiply(sk_c8,sk_c6)
| ~ spl15_2
| ~ spl15_12
| spl15_13 ),
inference(forward_demodulation,[],[f1442,f552]) ).
fof(f1442,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl15_2
| spl15_13 ),
inference(superposition,[],[f188,f1433]) ).
fof(f1433,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_13 ),
inference(forward_demodulation,[],[f1427,f1336]) ).
fof(f1336,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| spl15_13 ),
inference(backward_demodulation,[],[f89,f1335]) ).
fof(f1335,plain,
( sk_c6 = sF10
| spl15_13 ),
inference(subsumption_resolution,[],[f107,f1076]) ).
fof(f107,plain,
( sk_c6 = sF10
| sk_c11 = sF4 ),
inference(definition_folding,[],[f43,f64,f89]) ).
fof(f43,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_40) ).
fof(f1427,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_13 ),
inference(superposition,[],[f1338,f1361]) ).
fof(f1361,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_2
| spl15_13 ),
inference(backward_demodulation,[],[f482,f1360]) ).
fof(f1360,plain,
( sk_c11 = sF12
| spl15_13 ),
inference(subsumption_resolution,[],[f113,f1076]) ).
fof(f113,plain,
( sk_c11 = sF12
| sk_c11 = sF4 ),
inference(definition_folding,[],[f38,f64,f95]) ).
fof(f38,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_35) ).
fof(f1338,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl15_13 ),
inference(superposition,[],[f3,f1336]) ).
fof(f1403,plain,
( sk_c11 = multiply(sk_c11,sF4)
| ~ spl15_3
| ~ spl15_11 ),
inference(forward_demodulation,[],[f1398,f1035]) ).
fof(f1398,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c11,sF4)
| ~ spl15_3
| ~ spl15_11 ),
inference(superposition,[],[f1037,f870]) ).
fof(f870,plain,
( sk_c10 = multiply(sk_c10,sF4)
| ~ spl15_3 ),
inference(forward_demodulation,[],[f868,f853]) ).
fof(f868,plain,
sk_c10 = multiply(inverse(sk_c2),sF4),
inference(superposition,[],[f188,f64]) ).
fof(f1281,plain,
( ~ spl15_1
| ~ spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1280,plain,
( $false
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(subsumption_resolution,[],[f1279,f1215]) ).
fof(f1279,plain,
( sk_c11 = sk_c9
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(forward_demodulation,[],[f1277,f1220]) ).
fof(f1220,plain,
( sk_c11 = multiply(sk_c3,sk_c11)
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1155,f1199]) ).
fof(f1155,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(backward_demodulation,[],[f98,f1153]) ).
fof(f1153,plain,
( sk_c10 = sF13
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1152,f1104]) ).
fof(f1152,plain,
( sk_c10 = sk_c9
| sk_c10 = sF13
| ~ spl15_3
| ~ spl15_13 ),
inference(forward_demodulation,[],[f118,f1101]) ).
fof(f118,plain,
( sk_c10 = sF13
| sk_c9 = sF5 ),
inference(definition_folding,[],[f4,f66,f98]) ).
fof(f4,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_1) ).
fof(f1277,plain,
( sk_c9 = multiply(sk_c3,sk_c11)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1217,f1274]) ).
fof(f1274,plain,
( sk_c3 = sk_c4
| ~ spl15_1
| ~ spl15_3
| ~ spl15_4
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(forward_demodulation,[],[f1272,f243]) ).
fof(f243,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl15_4 ),
inference(superposition,[],[f188,f164]) ).
fof(f1272,plain,
( sk_c4 = multiply(inverse(sk_c11),identity)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(superposition,[],[f188,f1222]) ).
fof(f1222,plain,
( identity = multiply(sk_c11,sk_c4)
| ~ spl15_1
| ~ spl15_3
| ~ spl15_11
| ~ spl15_13
| ~ spl15_14 ),
inference(backward_demodulation,[],[f1167,f1199]) ).
fof(f1167,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl15_14 ),
inference(superposition,[],[f2,f1099]) ).
fof(f1099,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl15_14 ),
inference(backward_demodulation,[],[f74,f1081]) ).
fof(f1081,plain,
( sk_c10 = sF7
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1217,plain,
( sk_c9 = multiply(sk_c4,sk_c11)
| ~ spl15_1
| ~ spl15_3
| spl15_5
| ~ spl15_11
| ~ spl15_13 ),
inference(backward_demodulation,[],[f1137,f1199]) ).
fof(f1137,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(backward_demodulation,[],[f92,f1135]) ).
fof(f1135,plain,
( sk_c9 = sF11
| ~ spl15_3
| spl15_5
| ~ spl15_13 ),
inference(subsumption_resolution,[],[f1134,f1104]) ).
fof(f1134,plain,
( sk_c10 = sk_c9
| sk_c9 = sF11
| ~ spl15_3
| ~ spl15_13 ),
inference(forward_demodulation,[],[f112,f1101]) ).
fof(f112,plain,
( sk_c9 = sF11
| sk_c9 = sF5 ),
inference(definition_folding,[],[f6,f66,f92]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_3) ).
fof(f1097,plain,
( spl15_5
| spl15_14 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1096,plain,
( $false
| spl15_5
| spl15_14 ),
inference(subsumption_resolution,[],[f1095,f205]) ).
fof(f1095,plain,
( sk_c9 = sF5
| spl15_14 ),
inference(subsumption_resolution,[],[f84,f1080]) ).
fof(f1080,plain,
( sk_c10 != sF7
| spl15_14 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f84,plain,
( sk_c10 = sF7
| sk_c9 = sF5 ),
inference(definition_folding,[],[f7,f66,f74]) ).
fof(f7,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_4) ).
fof(f1082,plain,
( spl15_13
| spl15_14 ),
inference(avatar_split_clause,[],[f81,f1079,f1075]) ).
fof(f81,plain,
( sk_c10 = sF7
| sk_c11 = sF4 ),
inference(definition_folding,[],[f37,f64,f74]) ).
fof(f37,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_34) ).
fof(f1029,plain,
( ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_11
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f1028]) ).
fof(f1028,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_11
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f1027,f515]) ).
fof(f1027,plain,
( sk_c11 = sF3
| ~ spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_11
| ~ spl15_12 ),
inference(forward_demodulation,[],[f1004,f1003]) ).
fof(f1003,plain,
( sk_c10 = sk_c11
| ~ spl15_2
| ~ spl15_4
| spl15_11
| ~ spl15_12 ),
inference(superposition,[],[f985,f888]) ).
fof(f888,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl15_4
| spl15_11 ),
inference(forward_demodulation,[],[f886,f151]) ).
fof(f886,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c10)
| spl15_11 ),
inference(superposition,[],[f188,f885]) ).
fof(f885,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| spl15_11 ),
inference(forward_demodulation,[],[f98,f847]) ).
fof(f847,plain,
( sk_c10 = sF13
| spl15_11 ),
inference(subsumption_resolution,[],[f116,f515]) ).
fof(f116,plain,
( sk_c10 = sF13
| sk_c11 = sF3 ),
inference(definition_folding,[],[f24,f62,f98]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_21) ).
fof(f985,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl15_2
| spl15_11
| ~ spl15_12 ),
inference(backward_demodulation,[],[f1,f980]) ).
fof(f980,plain,
( identity = sk_c11
| ~ spl15_2
| spl15_11
| ~ spl15_12 ),
inference(backward_demodulation,[],[f622,f975]) ).
fof(f975,plain,
( sk_c11 = multiply(sk_c8,sk_c6)
| ~ spl15_2
| spl15_11
| ~ spl15_12 ),
inference(forward_demodulation,[],[f973,f552]) ).
fof(f973,plain,
( sk_c11 = multiply(inverse(sk_c6),sk_c6)
| ~ spl15_2
| spl15_11 ),
inference(superposition,[],[f188,f964]) ).
fof(f964,plain,
( sk_c6 = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_11 ),
inference(forward_demodulation,[],[f958,f873]) ).
fof(f873,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| spl15_11 ),
inference(forward_demodulation,[],[f89,f850]) ).
fof(f850,plain,
( sk_c6 = sF10
| spl15_11 ),
inference(subsumption_resolution,[],[f108,f515]) ).
fof(f108,plain,
( sk_c6 = sF10
| sk_c11 = sF3 ),
inference(definition_folding,[],[f33,f62,f89]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_30) ).
fof(f958,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c6,sk_c11)
| ~ spl15_2
| spl15_11 ),
inference(superposition,[],[f875,f884]) ).
fof(f884,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl15_2
| spl15_11 ),
inference(forward_demodulation,[],[f882,f132]) ).
fof(f882,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| spl15_11 ),
inference(superposition,[],[f188,f881]) ).
fof(f881,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| spl15_11 ),
inference(forward_demodulation,[],[f95,f848]) ).
fof(f848,plain,
( sk_c11 = sF12
| spl15_11 ),
inference(subsumption_resolution,[],[f114,f515]) ).
fof(f114,plain,
( sk_c11 = sF12
| sk_c11 = sF3 ),
inference(definition_folding,[],[f28,f62,f95]) ).
fof(f28,axiom,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_25) ).
fof(f875,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| spl15_11 ),
inference(superposition,[],[f3,f873]) ).
fof(f1004,plain,
( sk_c10 = sF3
| ~ spl15_1
| ~ spl15_2
| spl15_11
| ~ spl15_12 ),
inference(superposition,[],[f985,f468]) ).
fof(f468,plain,
( sk_c10 = multiply(sk_c11,sF3)
| ~ spl15_1 ),
inference(forward_demodulation,[],[f466,f457]) ).
fof(f466,plain,
sk_c10 = multiply(inverse(sk_c1),sF3),
inference(superposition,[],[f188,f62]) ).
fof(f747,plain,
( ~ spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_12 ),
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| ~ spl15_1
| ~ spl15_2
| spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11
| ~ spl15_12 ),
inference(subsumption_resolution,[],[f741,f666]) ).
fof(f666,plain,
( sk_c11 != sk_c9
| ~ spl15_1
| spl15_3
| ~ spl15_4
| spl15_5
| ~ spl15_11 ),
inference(backward_demodulation,[],[f205,f663]) ).
fof(f663,plain,
( sk_c11 = sF5
| ~ spl15_1
| spl15_3
| ~ spl15_4
| ~ spl15_11 ),
inference(forward_demodulation,[],[f662,f606]) ).
fof(f662,plain,
( sF5 = multiply(sk_c11,sk_c10)
| ~ spl15_1
| ~ spl15_11 ),
inference(forward_demodulation,[],[f660,f457]) ).
fof(f660,plain,
( sF5 = multiply(inverse(sk_c1),sk_c10)
| ~ spl15_1
| ~ spl15_11 ),
inference(superposition,[],[f188,f655]) ).
fof(f655,plain,
( sk_c10 = multiply(sk_c1,sF5)
| ~ spl15_1
| ~ spl15_11 ),
inference(forward_demodulation,[],[f650,f522]) ).
fof(f522,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl15_1
| ~ spl15_11 ),
inference(backward_demodulation,[],[f468,f516]) ).
fof(f650,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c1,sF5)
| ~ spl15_11 ),
inference(superposition,[],[f525,f66]) ).
fof(f525,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl15_11 ),
inference(superposition,[],[f3,f523]) ).
fof(f523,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl15_11 ),
inference(backward_demodulation,[],[f62,f516]) ).
fof(f741,plain,
( sk_c11 = sk_c9
| ~ spl15_2
| spl15_3
| ~ spl15_11
| ~ spl15_12 ),
inference(superposition,[],[f656,f716]) ).
fof(f656,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| spl15_3
| ~ spl15_11 ),
inference(forward_demodulation,[],[f651,f523]) ).
fof(f651,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c11,sk_c9)
| spl15_3
| ~ spl15_11 ),
inference(superposition,[],[f525,f590]) ).
fof(f590,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| spl15_3 ),
inference(backward_demodulation,[],[f563,f589]) ).
fof(f589,plain,
( sk_c9 = sF11
| spl15_3 ),
inference(subsumption_resolution,[],[f93,f139]) ).
fof(f93,plain,
( sk_c10 = sF2
| sk_c9 = sF11 ),
inference(definition_folding,[],[f46,f92,f60]) ).
fof(f46,axiom,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_43) ).
fof(f563,plain,
( sk_c10 = multiply(sk_c10,sF11)
| spl15_3 ),
inference(backward_demodulation,[],[f479,f562]) ).
fof(f479,plain,
sk_c10 = multiply(sF7,sF11),
inference(forward_demodulation,[],[f477,f74]) ).
fof(f477,plain,
sk_c10 = multiply(inverse(sk_c4),sF11),
inference(superposition,[],[f188,f92]) ).
fof(f549,plain,
( spl15_5
| spl15_12 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f548,plain,
( $false
| spl15_5
| spl15_12 ),
inference(subsumption_resolution,[],[f541,f205]) ).
fof(f541,plain,
( sk_c9 = sF5
| spl15_12 ),
inference(subsumption_resolution,[],[f73,f519]) ).
fof(f73,plain,
( sk_c8 = sF6
| sk_c9 = sF5 ),
inference(definition_folding,[],[f12,f66,f68]) ).
fof(f12,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c10,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_9) ).
fof(f521,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f71,f518,f514]) ).
fof(f71,plain,
( sk_c8 = sF6
| sk_c11 = sF3 ),
inference(definition_folding,[],[f32,f62,f68]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_29) ).
fof(f454,plain,
( spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_5 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_5 ),
inference(subsumption_resolution,[],[f450,f434]) ).
fof(f434,plain,
( sk_c11 != sk_c9
| spl15_1
| ~ spl15_2
| ~ spl15_4
| spl15_5 ),
inference(backward_demodulation,[],[f205,f432]) ).
fof(f432,plain,
( sk_c11 = sF5
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(forward_demodulation,[],[f418,f327]) ).
fof(f418,plain,
( sF5 = multiply(sk_c11,sk_c11)
| spl15_1
| ~ spl15_2
| ~ spl15_4 ),
inference(backward_demodulation,[],[f66,f410]) ).
fof(f221,plain,
( ~ spl15_5
| spl15_6
| spl15_7
| spl15_8
| spl15_9
| spl15_10 ),
inference(avatar_split_clause,[],[f122,f219,f216,f213,f210,f207,f203]) ).
fof(f122,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c9 != sF5
| inverse(X9) != multiply(X9,inverse(X7)) ),
inference(definition_folding,[],[f56,f66]) ).
fof(f56,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| inverse(X7) != inverse(inverse(X9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| multiply(sk_c10,sk_c11) != sk_c9
| inverse(X9) != multiply(X9,inverse(X7)) ),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X3,X10,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| inverse(X9) != X10
| inverse(X7) != inverse(X10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(inverse(X7),sk_c10)
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X7,inverse(X7))
| multiply(sk_c10,sk_c11) != sk_c9
| multiply(X9,inverse(X7)) != X10 ),
inference(equality_resolution,[],[f54]) ).
fof(f54,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c11 != inverse(X3)
| sk_c10 != inverse(X6)
| sk_c11 != inverse(X5)
| sk_c10 != inverse(X4)
| inverse(X7) != X8
| inverse(X9) != X10
| inverse(X10) != X8
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != multiply(X5,sk_c11)
| sk_c11 != multiply(X8,sk_c10)
| sk_c11 != multiply(X4,sk_c10)
| sk_c11 != multiply(X3,sk_c10)
| sk_c11 != multiply(X7,X8)
| multiply(sk_c10,sk_c11) != sk_c9
| multiply(X9,X8) != X10 ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_51) ).
fof(f149,plain,
( spl15_1
| spl15_4 ),
inference(avatar_contradiction_clause,[],[f148]) ).
fof(f148,plain,
( $false
| spl15_1
| spl15_4 ),
inference(subsumption_resolution,[],[f147,f125]) ).
fof(f147,plain,
( sk_c11 = sF1
| spl15_4 ),
inference(subsumption_resolution,[],[f78,f143]) ).
fof(f78,plain,
( sk_c11 = sF8
| sk_c11 = sF1 ),
inference(definition_folding,[],[f15,f58,f76]) ).
fof(f15,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_12) ).
fof(f145,plain,
( spl15_3
| spl15_4 ),
inference(avatar_split_clause,[],[f77,f142,f138]) ).
fof(f77,plain,
( sk_c11 = sF8
| sk_c10 = sF2 ),
inference(definition_folding,[],[f45,f60,f76]) ).
fof(f45,axiom,
( sk_c11 = inverse(sk_c3)
| sk_c10 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_42) ).
fof(f131,plain,
( spl15_1
| spl15_2 ),
inference(avatar_split_clause,[],[f59,f128,f124]) ).
fof(f59,plain,
( sk_c8 = sF0
| sk_c11 = sF1 ),
inference(definition_folding,[],[f19,f58,f57]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306',prove_this_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP338-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 01:32:47 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.cT59uHslXy/Vampire---4.8_7306
% 0.14/0.37 % (7603)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (7613)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.43 % (7611)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43 % (7612)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43 % (7607)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (7608)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43 % (7610)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43 % (7609)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.52 % (7612)First to succeed.
% 0.22/0.53 % (7612)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.54 % (7612)------------------------------
% 0.22/0.54 % (7612)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.54 % (7612)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.54 % (7612)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (7612)Memory used [KB]: 6652
% 0.22/0.54 % (7612)Time elapsed: 0.097 s
% 0.22/0.54 % (7612)------------------------------
% 0.22/0.54 % (7612)------------------------------
% 0.22/0.54 % (7603)Success in time 0.149 s
% 0.22/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------