TSTP Solution File: GRP320-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP320-1 : 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 : n002.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 01:23:16 EDT 2023
% Result : Unsatisfiable 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 66
% Syntax : Number of formulae : 303 ( 18 unt; 0 def)
% Number of atoms : 1059 ( 367 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1457 ( 701 ~; 733 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 81 (; 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f916,plain,
$false,
inference(avatar_sat_refutation,[],[f107,f111,f115,f119,f128,f133,f138,f143,f149,f154,f159,f164,f165,f166,f167,f168,f169,f170,f171,f172,f173,f174,f175,f177,f178,f179,f180,f181,f182,f183,f184,f185,f246,f252,f338,f361,f390,f406,f590,f790,f828,f839,f884,f889,f914]) ).
fof(f914,plain,
( ~ spl14_9
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f913]) ).
fof(f913,plain,
( $false
| ~ spl14_9
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f912,plain,
( sk_c7 != sk_c7
| ~ spl14_9
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(forward_demodulation,[],[f910,f845]) ).
fof(f845,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl14_17
| ~ spl14_30 ),
inference(backward_demodulation,[],[f419,f455]) ).
fof(f455,plain,
( sk_c7 = sk_c8
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f454,plain,
( spl14_30
<=> sk_c7 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
fof(f419,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl14_17 ),
inference(backward_demodulation,[],[f59,f158]) ).
fof(f158,plain,
( sk_c8 = sF12
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl14_17
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f59,plain,
multiply(sk_c1,sk_c7) = sF12,
introduced(function_definition,[]) ).
fof(f910,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl14_9
| ~ spl14_15
| ~ spl14_30 ),
inference(trivial_inequality_removal,[],[f907]) ).
fof(f907,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl14_9
| ~ spl14_15
| ~ spl14_30 ),
inference(superposition,[],[f896,f421]) ).
fof(f421,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl14_15 ),
inference(backward_demodulation,[],[f55,f148]) ).
fof(f148,plain,
( sk_c7 = sF10
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl14_15
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
fof(f55,plain,
inverse(sk_c1) = sF10,
introduced(function_definition,[]) ).
fof(f896,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl14_9
| ~ spl14_30 ),
inference(forward_demodulation,[],[f118,f455]) ).
fof(f118,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl14_9
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f889,plain,
( ~ spl14_4
| ~ spl14_15
| ~ spl14_17
| spl14_25
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17
| spl14_25
| ~ spl14_30 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f887,plain,
( sk_c7 != sk_c7
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17
| spl14_25
| ~ spl14_30 ),
inference(forward_demodulation,[],[f886,f479]) ).
fof(f479,plain,
( sk_c7 = sk_c6
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f477,f413]) ).
fof(f413,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl14_4 ),
inference(forward_demodulation,[],[f43,f98]) ).
fof(f98,plain,
( sk_c6 = sF4
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl14_4
<=> sk_c6 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
fof(f43,plain,
multiply(sk_c7,sk_c8) = sF4,
introduced(function_definition,[]) ).
fof(f477,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl14_15
| ~ spl14_17 ),
inference(superposition,[],[f437,f419]) ).
fof(f437,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl14_15 ),
inference(forward_demodulation,[],[f436,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',left_identity) ).
fof(f436,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl14_15 ),
inference(superposition,[],[f3,f424]) ).
fof(f424,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl14_15 ),
inference(superposition,[],[f2,f421]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',associativity) ).
fof(f886,plain,
( sk_c7 != sk_c6
| ~ spl14_17
| spl14_25
| ~ spl14_30 ),
inference(forward_demodulation,[],[f251,f843]) ).
fof(f843,plain,
( sk_c7 = sF12
| ~ spl14_17
| ~ spl14_30 ),
inference(backward_demodulation,[],[f158,f455]) ).
fof(f251,plain,
( sk_c6 != sF12
| spl14_25 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl14_25
<=> sk_c6 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f884,plain,
( ~ spl14_8
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f883]) ).
fof(f883,plain,
( $false
| ~ spl14_8
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f882,plain,
( sk_c7 != sk_c7
| ~ spl14_8
| ~ spl14_15
| ~ spl14_17
| ~ spl14_30 ),
inference(forward_demodulation,[],[f880,f845]) ).
fof(f880,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl14_8
| ~ spl14_15
| ~ spl14_30 ),
inference(trivial_inequality_removal,[],[f877]) ).
fof(f877,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl14_8
| ~ spl14_15
| ~ spl14_30 ),
inference(superposition,[],[f863,f421]) ).
fof(f863,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl14_8
| ~ spl14_30 ),
inference(forward_demodulation,[],[f862,f455]) ).
fof(f862,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl14_8
| ~ spl14_30 ),
inference(forward_demodulation,[],[f114,f455]) ).
fof(f114,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f113,plain,
( spl14_8
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
fof(f839,plain,
( ~ spl14_6
| ~ spl14_11
| ~ spl14_30 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f838,plain,
( $false
| ~ spl14_6
| ~ spl14_11
| ~ spl14_30 ),
inference(global_subsumption,[],[f816,f455]) ).
fof(f816,plain,
( sk_c7 != sk_c8
| ~ spl14_6
| ~ spl14_11 ),
inference(forward_demodulation,[],[f810,f439]) ).
fof(f439,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl14_11 ),
inference(forward_demodulation,[],[f438,f1]) ).
fof(f438,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl14_11 ),
inference(superposition,[],[f3,f425]) ).
fof(f425,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl14_11 ),
inference(superposition,[],[f2,f422]) ).
fof(f422,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl14_11 ),
inference(backward_demodulation,[],[f45,f127]) ).
fof(f127,plain,
( sk_c8 = sF5
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl14_11
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
fof(f45,plain,
inverse(sk_c2) = sF5,
introduced(function_definition,[]) ).
fof(f810,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl14_6
| ~ spl14_11 ),
inference(trivial_inequality_removal,[],[f809]) ).
fof(f809,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl14_6
| ~ spl14_11 ),
inference(superposition,[],[f106,f422]) ).
fof(f106,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl14_6
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
fof(f828,plain,
( ~ spl14_11
| ~ spl14_16
| ~ spl14_18
| spl14_30 ),
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f827,plain,
( $false
| ~ spl14_11
| ~ spl14_16
| ~ spl14_18
| spl14_30 ),
inference(global_subsumption,[],[f456,f826]) ).
fof(f826,plain,
( sk_c7 = sk_c8
| ~ spl14_11
| ~ spl14_16
| ~ spl14_18 ),
inference(forward_demodulation,[],[f824,f418]) ).
fof(f418,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl14_18 ),
inference(backward_demodulation,[],[f61,f163]) ).
fof(f163,plain,
( sk_c7 = sF13
| ~ spl14_18 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f161,plain,
( spl14_18
<=> sk_c7 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f61,plain,
multiply(sk_c8,sk_c3) = sF13,
introduced(function_definition,[]) ).
fof(f824,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl14_11
| ~ spl14_16 ),
inference(superposition,[],[f439,f420]) ).
fof(f420,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl14_16 ),
inference(backward_demodulation,[],[f57,f153]) ).
fof(f153,plain,
( sk_c3 = sF11
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f151,plain,
( spl14_16
<=> sk_c3 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
fof(f57,plain,
multiply(sk_c2,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f456,plain,
( sk_c7 != sk_c8
| spl14_30 ),
inference(avatar_component_clause,[],[f454]) ).
fof(f790,plain,
( ~ spl14_4
| spl14_5
| ~ spl14_15
| ~ spl14_17 ),
inference(avatar_contradiction_clause,[],[f789]) ).
fof(f789,plain,
( $false
| ~ spl14_4
| spl14_5
| ~ spl14_15
| ~ spl14_17 ),
inference(global_subsumption,[],[f103,f772]) ).
fof(f772,plain,
( sk_c7 = sF3
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f492,f683]) ).
fof(f683,plain,
( multiply(sk_c7,sk_c8) = sF3
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f42,f479]) ).
fof(f42,plain,
multiply(sk_c6,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f492,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl14_4
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f413,f479]) ).
fof(f103,plain,
( sk_c7 != sF3
| spl14_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl14_5
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
fof(f590,plain,
( ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl14_4
| ~ spl14_5
| spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_16
| ~ spl14_17
| ~ spl14_18 ),
inference(global_subsumption,[],[f568,f576]) ).
fof(f576,plain,
( sk_c7 = sF6
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(forward_demodulation,[],[f574,f530]) ).
fof(f530,plain,
( sF6 = inverse(identity)
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f46,f529]) ).
fof(f529,plain,
( identity = sk_c4
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f426,f526]) ).
fof(f526,plain,
( ! [X0] : multiply(sF6,X0) = X0
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f512,f518]) ).
fof(f518,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f513,f516]) ).
fof(f516,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f504,f499]) ).
fof(f499,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f197,f498]) ).
fof(f498,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f488,f197]) ).
fof(f488,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f272,f479]) ).
fof(f272,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl14_12
| ~ spl14_13 ),
inference(superposition,[],[f194,f197]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl14_13 ),
inference(superposition,[],[f3,f187]) ).
fof(f187,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl14_13 ),
inference(backward_demodulation,[],[f50,f137]) ).
fof(f137,plain,
( sk_c6 = sF8
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl14_13
<=> sk_c6 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
fof(f50,plain,
multiply(sk_c5,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl14_12 ),
inference(forward_demodulation,[],[f196,f1]) ).
fof(f196,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl14_12 ),
inference(superposition,[],[f3,f191]) ).
fof(f191,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl14_12 ),
inference(superposition,[],[f2,f188]) ).
fof(f188,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl14_12 ),
inference(backward_demodulation,[],[f48,f132]) ).
fof(f132,plain,
( sk_c7 = sF7
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl14_12
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f48,plain,
inverse(sk_c5) = sF7,
introduced(function_definition,[]) ).
fof(f504,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl14_4
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f485,f499]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl14_4
| ~ spl14_5
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f195,f479]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl14_5 ),
inference(superposition,[],[f3,f190]) ).
fof(f190,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl14_5 ),
inference(backward_demodulation,[],[f42,f102]) ).
fof(f102,plain,
( sk_c7 = sF3
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f513,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = X0
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f500,f511]) ).
fof(f511,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,X0)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(forward_demodulation,[],[f501,f499]) ).
fof(f501,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f416,f499]) ).
fof(f416,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl14_14
| ~ spl14_18 ),
inference(backward_demodulation,[],[f271,f163]) ).
fof(f271,plain,
( ! [X0] : multiply(sk_c4,multiply(sF13,X0)) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl14_14 ),
inference(forward_demodulation,[],[f269,f3]) ).
fof(f269,plain,
( ! [X0] : multiply(sk_c4,multiply(sF13,X0)) = multiply(multiply(sk_c7,sk_c3),X0)
| ~ spl14_14 ),
inference(superposition,[],[f3,f256]) ).
fof(f256,plain,
( multiply(sk_c7,sk_c3) = multiply(sk_c4,sF13)
| ~ spl14_14 ),
inference(superposition,[],[f193,f61]) ).
fof(f193,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl14_14 ),
inference(superposition,[],[f3,f186]) ).
fof(f186,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl14_14 ),
inference(backward_demodulation,[],[f52,f142]) ).
fof(f142,plain,
( sk_c7 = sF9
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl14_14
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
fof(f52,plain,
multiply(sk_c4,sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f500,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = X0
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f193,f499]) ).
fof(f512,plain,
( ! [X0] : multiply(sF6,multiply(sk_c3,X0)) = X0
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14
| ~ spl14_15
| ~ spl14_17
| ~ spl14_18 ),
inference(backward_demodulation,[],[f441,f511]) ).
fof(f441,plain,
! [X0] : multiply(sF6,multiply(sk_c4,X0)) = X0,
inference(forward_demodulation,[],[f440,f1]) ).
fof(f440,plain,
! [X0] : multiply(identity,X0) = multiply(sF6,multiply(sk_c4,X0)),
inference(superposition,[],[f3,f426]) ).
fof(f426,plain,
identity = multiply(sF6,sk_c4),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
inverse(sk_c4) = sF6,
introduced(function_definition,[]) ).
fof(f574,plain,
( sk_c7 = inverse(identity)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f188,f558]) ).
fof(f558,plain,
( identity = sk_c5
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f557,f499]) ).
fof(f557,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f489,f498]) ).
fof(f489,plain,
( multiply(sk_c7,sk_c5) = multiply(sk_c5,identity)
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f276,f479]) ).
fof(f276,plain,
( multiply(sk_c6,sk_c5) = multiply(sk_c5,identity)
| ~ spl14_12
| ~ spl14_13 ),
inference(superposition,[],[f194,f191]) ).
fof(f568,plain,
( sk_c7 != sF6
| ~ spl14_4
| spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(backward_demodulation,[],[f122,f561]) ).
fof(f561,plain,
( sk_c7 = sk_c8
| ~ spl14_4
| ~ spl14_12
| ~ spl14_13
| ~ spl14_15
| ~ spl14_17 ),
inference(forward_demodulation,[],[f492,f499]) ).
fof(f122,plain,
( sk_c8 != sF6
| spl14_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f121,plain,
( spl14_10
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f406,plain,
( ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f405]) ).
fof(f405,plain,
( $false
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( sk_c7 != sk_c7
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f402,f1]) ).
fof(f402,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f399]) ).
fof(f399,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(superposition,[],[f397,f323]) ).
fof(f323,plain,
( sk_c7 = inverse(identity)
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f320,f315]) ).
fof(f315,plain,
( identity = sk_c4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f192,f312]) ).
fof(f312,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f304,f303]) ).
fof(f303,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f197,f302]) ).
fof(f302,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f298,f197]) ).
fof(f298,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f272,f290]) ).
fof(f290,plain,
( sk_c7 = sk_c6
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f287,f187]) ).
fof(f287,plain,
( sk_c7 = multiply(sk_c5,sk_c7)
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f280,f286]) ).
fof(f286,plain,
( sk_c7 = sF4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f284,f259]) ).
fof(f259,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl14_10
| ~ spl14_14 ),
inference(forward_demodulation,[],[f254,f186]) ).
fof(f254,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl14_10
| ~ spl14_14 ),
inference(superposition,[],[f193,f204]) ).
fof(f204,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl14_10
| ~ spl14_14 ),
inference(superposition,[],[f199,f186]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl14_10 ),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl14_10 ),
inference(superposition,[],[f3,f192]) ).
fof(f284,plain,
( sF4 = multiply(sk_c7,sk_c7)
| ~ spl14_5
| ~ spl14_12
| ~ spl14_13 ),
inference(superposition,[],[f197,f280]) ).
fof(f280,plain,
( sk_c7 = multiply(sk_c5,sF4)
| ~ spl14_5
| ~ spl14_13 ),
inference(forward_demodulation,[],[f274,f190]) ).
fof(f274,plain,
( multiply(sk_c6,sk_c8) = multiply(sk_c5,sF4)
| ~ spl14_13 ),
inference(superposition,[],[f194,f43]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f295,f303]) ).
fof(f295,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f195,f290]) ).
fof(f192,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl14_10 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl14_10 ),
inference(backward_demodulation,[],[f46,f123]) ).
fof(f123,plain,
( sk_c8 = sF6
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f320,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f189,f317]) ).
fof(f317,plain,
( sk_c7 = sk_c8
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f186,f313]) ).
fof(f313,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f199,f312]) ).
fof(f397,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f396,f317]) ).
fof(f396,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
| ~ spl14_5
| ~ spl14_8
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f114,f317]) ).
fof(f390,plain,
( ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f389,plain,
( $false
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f388]) ).
fof(f388,plain,
( sk_c7 != sk_c7
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f386,f1]) ).
fof(f386,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f383,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(superposition,[],[f381,f323]) ).
fof(f381,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c7) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f380,f303]) ).
fof(f380,plain,
( ! [X5] :
( sk_c7 != multiply(sk_c7,multiply(X5,sk_c7))
| sk_c7 != inverse(X5) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f379,f317]) ).
fof(f379,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl14_5
| ~ spl14_6
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f106,f317]) ).
fof(f361,plain,
( ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f359]) ).
fof(f359,plain,
( sk_c7 != sk_c7
| ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f357,f1]) ).
fof(f357,plain,
( sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(identity,sk_c7)
| ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(superposition,[],[f343,f323]) ).
fof(f343,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(X3,sk_c7) )
| ~ spl14_5
| ~ spl14_9
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f118,f317]) ).
fof(f338,plain,
( spl14_4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| spl14_4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(trivial_inequality_removal,[],[f336]) ).
fof(f336,plain,
( sk_c7 != sk_c7
| spl14_4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(forward_demodulation,[],[f288,f290]) ).
fof(f288,plain,
( sk_c7 != sk_c6
| spl14_4
| ~ spl14_5
| ~ spl14_10
| ~ spl14_12
| ~ spl14_13
| ~ spl14_14 ),
inference(backward_demodulation,[],[f99,f286]) ).
fof(f99,plain,
( sk_c6 != sF4
| spl14_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f252,plain,
( ~ spl14_25
| ~ spl14_15
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f247,f109,f146,f249]) ).
fof(f109,plain,
( spl14_7
<=> ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
fof(f247,plain,
( sk_c7 != sF10
| sk_c6 != sF12
| ~ spl14_7 ),
inference(forward_demodulation,[],[f214,f55]) ).
fof(f214,plain,
( sk_c6 != sF12
| sk_c7 != inverse(sk_c1)
| ~ spl14_7 ),
inference(superposition,[],[f110,f59]) ).
fof(f110,plain,
( ! [X7] :
( sk_c6 != multiply(X7,sk_c7)
| sk_c7 != inverse(X7) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f246,plain,
( ~ spl14_7
| ~ spl14_12
| ~ spl14_13 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl14_7
| ~ spl14_12
| ~ spl14_13 ),
inference(trivial_inequality_removal,[],[f244]) ).
fof(f244,plain,
( sk_c7 != sk_c7
| ~ spl14_7
| ~ spl14_12
| ~ spl14_13 ),
inference(forward_demodulation,[],[f215,f188]) ).
fof(f215,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl14_7
| ~ spl14_13 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(sk_c5)
| ~ spl14_7
| ~ spl14_13 ),
inference(superposition,[],[f110,f187]) ).
fof(f185,plain,
( spl14_4
| spl14_5 ),
inference(avatar_split_clause,[],[f83,f101,f97]) ).
fof(f83,plain,
( sk_c7 = sF3
| sk_c6 = sF4 ),
inference(definition_folding,[],[f8,f43,f42]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_5) ).
fof(f184,plain,
( spl14_18
| spl14_5 ),
inference(avatar_split_clause,[],[f82,f101,f161]) ).
fof(f82,plain,
( sk_c7 = sF3
| sk_c7 = sF13 ),
inference(definition_folding,[],[f23,f61,f42]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_20) ).
fof(f183,plain,
( spl14_4
| spl14_14 ),
inference(avatar_split_clause,[],[f81,f140,f97]) ).
fof(f81,plain,
( sk_c7 = sF9
| sk_c6 = sF4 ),
inference(definition_folding,[],[f4,f43,f52]) ).
fof(f4,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_1) ).
fof(f182,plain,
( spl14_18
| spl14_14 ),
inference(avatar_split_clause,[],[f80,f140,f161]) ).
fof(f80,plain,
( sk_c7 = sF9
| sk_c7 = sF13 ),
inference(definition_folding,[],[f19,f61,f52]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_16) ).
fof(f181,plain,
( spl14_5
| spl14_17 ),
inference(avatar_split_clause,[],[f79,f156,f101]) ).
fof(f79,plain,
( sk_c8 = sF12
| sk_c7 = sF3 ),
inference(definition_folding,[],[f13,f42,f59]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_10) ).
fof(f180,plain,
( spl14_14
| spl14_17 ),
inference(avatar_split_clause,[],[f78,f156,f140]) ).
fof(f78,plain,
( sk_c8 = sF12
| sk_c7 = sF9 ),
inference(definition_folding,[],[f9,f52,f59]) ).
fof(f9,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_6) ).
fof(f179,plain,
( spl14_4
| spl14_13 ),
inference(avatar_split_clause,[],[f77,f135,f97]) ).
fof(f77,plain,
( sk_c6 = sF8
| sk_c6 = sF4 ),
inference(definition_folding,[],[f6,f43,f50]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_3) ).
fof(f178,plain,
( spl14_18
| spl14_13 ),
inference(avatar_split_clause,[],[f76,f135,f161]) ).
fof(f76,plain,
( sk_c6 = sF8
| sk_c7 = sF13 ),
inference(definition_folding,[],[f21,f61,f50]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_18) ).
fof(f177,plain,
( spl14_17
| spl14_13 ),
inference(avatar_split_clause,[],[f75,f135,f156]) ).
fof(f75,plain,
( sk_c6 = sF8
| sk_c8 = sF12 ),
inference(definition_folding,[],[f11,f59,f50]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_8) ).
fof(f175,plain,
( spl14_14
| spl14_16 ),
inference(avatar_split_clause,[],[f73,f151,f140]) ).
fof(f73,plain,
( sk_c3 = sF11
| sk_c7 = sF9 ),
inference(definition_folding,[],[f24,f52,f57]) ).
fof(f24,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_21) ).
fof(f174,plain,
( spl14_13
| spl14_16 ),
inference(avatar_split_clause,[],[f72,f151,f135]) ).
fof(f72,plain,
( sk_c3 = sF11
| sk_c6 = sF8 ),
inference(definition_folding,[],[f26,f50,f57]) ).
fof(f26,axiom,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_23) ).
fof(f173,plain,
( spl14_4
| spl14_12 ),
inference(avatar_split_clause,[],[f71,f130,f97]) ).
fof(f71,plain,
( sk_c7 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f7,f43,f48]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_4) ).
fof(f172,plain,
( spl14_18
| spl14_12 ),
inference(avatar_split_clause,[],[f70,f130,f161]) ).
fof(f70,plain,
( sk_c7 = sF7
| sk_c7 = sF13 ),
inference(definition_folding,[],[f22,f61,f48]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_19) ).
fof(f171,plain,
( spl14_17
| spl14_12 ),
inference(avatar_split_clause,[],[f69,f130,f156]) ).
fof(f69,plain,
( sk_c7 = sF7
| sk_c8 = sF12 ),
inference(definition_folding,[],[f12,f59,f48]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_9) ).
fof(f170,plain,
( spl14_16
| spl14_12 ),
inference(avatar_split_clause,[],[f68,f130,f151]) ).
fof(f68,plain,
( sk_c7 = sF7
| sk_c3 = sF11 ),
inference(definition_folding,[],[f27,f57,f48]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_24) ).
fof(f169,plain,
( spl14_5
| spl14_15 ),
inference(avatar_split_clause,[],[f67,f146,f101]) ).
fof(f67,plain,
( sk_c7 = sF10
| sk_c7 = sF3 ),
inference(definition_folding,[],[f18,f42,f55]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_15) ).
fof(f168,plain,
( spl14_14
| spl14_15 ),
inference(avatar_split_clause,[],[f66,f146,f140]) ).
fof(f66,plain,
( sk_c7 = sF10
| sk_c7 = sF9 ),
inference(definition_folding,[],[f14,f52,f55]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_11) ).
fof(f167,plain,
( spl14_13
| spl14_15 ),
inference(avatar_split_clause,[],[f65,f146,f135]) ).
fof(f65,plain,
( sk_c7 = sF10
| sk_c6 = sF8 ),
inference(definition_folding,[],[f16,f50,f55]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_13) ).
fof(f166,plain,
( spl14_12
| spl14_15 ),
inference(avatar_split_clause,[],[f64,f146,f130]) ).
fof(f64,plain,
( sk_c7 = sF10
| sk_c7 = sF7 ),
inference(definition_folding,[],[f17,f48,f55]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_14) ).
fof(f165,plain,
( spl14_4
| spl14_10 ),
inference(avatar_split_clause,[],[f63,f121,f97]) ).
fof(f63,plain,
( sk_c8 = sF6
| sk_c6 = sF4 ),
inference(definition_folding,[],[f5,f43,f46]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_2) ).
fof(f164,plain,
( spl14_18
| spl14_10 ),
inference(avatar_split_clause,[],[f62,f121,f161]) ).
fof(f62,plain,
( sk_c8 = sF6
| sk_c7 = sF13 ),
inference(definition_folding,[],[f20,f61,f46]) ).
fof(f20,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c8,sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_17) ).
fof(f159,plain,
( spl14_17
| spl14_10 ),
inference(avatar_split_clause,[],[f60,f121,f156]) ).
fof(f60,plain,
( sk_c8 = sF6
| sk_c8 = sF12 ),
inference(definition_folding,[],[f10,f59,f46]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_7) ).
fof(f154,plain,
( spl14_16
| spl14_10 ),
inference(avatar_split_clause,[],[f58,f121,f151]) ).
fof(f58,plain,
( sk_c8 = sF6
| sk_c3 = sF11 ),
inference(definition_folding,[],[f25,f57,f46]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c3 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_22) ).
fof(f149,plain,
( spl14_15
| spl14_10 ),
inference(avatar_split_clause,[],[f56,f121,f146]) ).
fof(f56,plain,
( sk_c8 = sF6
| sk_c7 = sF10 ),
inference(definition_folding,[],[f15,f55,f46]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_12) ).
fof(f143,plain,
( spl14_14
| spl14_11 ),
inference(avatar_split_clause,[],[f53,f125,f140]) ).
fof(f53,plain,
( sk_c8 = sF5
| sk_c7 = sF9 ),
inference(definition_folding,[],[f29,f52,f45]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_26) ).
fof(f138,plain,
( spl14_13
| spl14_11 ),
inference(avatar_split_clause,[],[f51,f125,f135]) ).
fof(f51,plain,
( sk_c8 = sF5
| sk_c6 = sF8 ),
inference(definition_folding,[],[f31,f50,f45]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_28) ).
fof(f133,plain,
( spl14_12
| spl14_11 ),
inference(avatar_split_clause,[],[f49,f125,f130]) ).
fof(f49,plain,
( sk_c8 = sF5
| sk_c7 = sF7 ),
inference(definition_folding,[],[f32,f48,f45]) ).
fof(f32,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_29) ).
fof(f128,plain,
( spl14_10
| spl14_11 ),
inference(avatar_split_clause,[],[f47,f125,f121]) ).
fof(f47,plain,
( sk_c8 = sF5
| sk_c8 = sF6 ),
inference(definition_folding,[],[f30,f46,f45]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_27) ).
fof(f119,plain,
( spl14_3
| spl14_9 ),
inference(avatar_split_clause,[],[f36,f117,f93]) ).
fof(f93,plain,
( spl14_3
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f36,plain,
! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sP0 ),
inference(cnf_transformation,[],[f36_D]) ).
fof(f36_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f115,plain,
( spl14_2
| spl14_8 ),
inference(avatar_split_clause,[],[f38,f113,f89]) ).
fof(f89,plain,
( spl14_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f38,plain,
! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8)
| sP1 ),
inference(cnf_transformation,[],[f38_D]) ).
fof(f38_D,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c7 != multiply(X6,sk_c8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f111,plain,
( spl14_1
| spl14_7 ),
inference(avatar_split_clause,[],[f40,f109,f85]) ).
fof(f85,plain,
( spl14_1
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f40,plain,
! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7)
| sP2 ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X7] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f107,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3
| ~ spl14_4
| ~ spl14_5
| spl14_6 ),
inference(avatar_split_clause,[],[f44,f105,f101,f97,f93,f89,f85]) ).
fof(f44,plain,
! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != sF3
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c6 != sF4
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(definition_folding,[],[f41,f43,f42]) ).
fof(f41,plain,
! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f39,plain,
! [X7,X5] :
( sk_c8 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f37,f38_D]) ).
fof(f37,plain,
! [X6,X7,X5] :
( sk_c8 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c6 != multiply(X7,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6
| ~ sP0 ),
inference(general_splitting,[],[f35,f36_D]) ).
fof(f35,plain,
! [X3,X6,X7,X5] :
( sk_c8 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X7,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c8 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X7,sk_c7)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c7 != multiply(X6,sk_c8)
| sk_c7 != multiply(sk_c8,X4)
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X5,sk_c8) != X4 ),
file('/export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327',prove_this_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP320-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 23:16:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.LX85ZcYW1h/Vampire---4.8_21327
% 0.14/0.36 % (21472)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (21477)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)
% 0.20/0.42 % (21478)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.20/0.42 % (21474)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)
% 0.20/0.42 % (21473)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)
% 0.20/0.42 % (21479)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)
% 0.20/0.42 % (21476)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)
% 0.20/0.42 % (21475)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)
% 0.20/0.46 % (21476)First to succeed.
% 0.20/0.46 % (21476)Refutation found. Thanks to Tanya!
% 0.20/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.20/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.47 % (21476)------------------------------
% 0.20/0.47 % (21476)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.47 % (21476)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.47 % (21476)Termination reason: Refutation
% 0.20/0.47
% 0.20/0.47 % (21476)Memory used [KB]: 10618
% 0.20/0.47 % (21476)Time elapsed: 0.039 s
% 0.20/0.47 % (21476)------------------------------
% 0.20/0.47 % (21476)------------------------------
% 0.20/0.47 % (21472)Success in time 0.101 s
% 0.20/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------