TSTP Solution File: GRP245-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP245-1 : 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 : n005.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 01:22:52 EDT 2023
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 52
% Syntax : Number of formulae : 362 ( 31 unt; 0 def)
% Number of atoms : 1178 ( 390 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1514 ( 698 ~; 801 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 23 con; 0-2 aty)
% Number of variables : 52 (; 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2864,plain,
$false,
inference(avatar_sat_refutation,[],[f111,f182,f326,f542,f554,f953,f1009,f1096,f1161,f1211,f1248,f1256,f1268,f1392,f1489,f1559,f1578,f1662,f1789,f1834,f1839,f1905,f1977,f2023,f2029,f2036,f2387,f2557,f2562,f2570,f2576,f2579,f2593,f2758,f2775,f2859]) ).
fof(f2859,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f2858]) ).
fof(f2858,plain,
( $false
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f2857,f2634]) ).
fof(f2634,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl13_11 ),
inference(forward_demodulation,[],[f1,f324]) ).
fof(f324,plain,
( identity = sk_c9
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl13_11
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',left_identity) ).
fof(f2857,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2856,f429]) ).
fof(f429,plain,
( sk_c9 = sF3
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl13_12
<=> sk_c9 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f2856,plain,
( sk_c9 != multiply(sF3,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2855,f2624]) ).
fof(f2624,plain,
( sk_c9 = sk_c8
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f541,f2544]) ).
fof(f2544,plain,
( sk_c9 = sF4
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f541,f2534]) ).
fof(f2534,plain,
( sk_c9 = sk_c8
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f2498,f2521]) ).
fof(f2521,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f1,f2516]) ).
fof(f2516,plain,
( identity = sk_c8
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f2422,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',left_inverse) ).
fof(f2422,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f154,f2096]) ).
fof(f2096,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2095,f429]) ).
fof(f2095,plain,
( sk_c9 = multiply(sF3,sk_c8)
| ~ spl13_15 ),
inference(forward_demodulation,[],[f264,f541]) ).
fof(f264,plain,
sk_c9 = multiply(sF3,sF4),
inference(forward_demodulation,[],[f255,f53]) ).
fof(f53,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f255,plain,
sk_c9 = multiply(inverse(sk_c2),sF4),
inference(superposition,[],[f154,f55]) ).
fof(f55,plain,
multiply(sk_c2,sk_c9) = sF4,
introduced(function_definition,[]) ).
fof(f154,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f141,f1]) ).
fof(f141,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',associativity) ).
fof(f2498,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2494,f2061]) ).
fof(f2061,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl13_15 ),
inference(forward_demodulation,[],[f55,f541]) ).
fof(f2494,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_15 ),
inference(superposition,[],[f2314,f2484]) ).
fof(f2484,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4 ),
inference(forward_demodulation,[],[f2479,f2396]) ).
fof(f2396,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| spl13_2 ),
inference(forward_demodulation,[],[f59,f2369]) ).
fof(f2369,plain,
( sk_c9 = sF6
| spl13_2 ),
inference(subsumption_resolution,[],[f60,f109]) ).
fof(f109,plain,
( sk_c7 != sF0
| spl13_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f108,plain,
( spl13_2
<=> sk_c7 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f60,plain,
( sk_c7 = sF0
| sk_c9 = sF6 ),
inference(definition_folding,[],[f9,f59,f48]) ).
fof(f48,plain,
inverse(sk_c6) = sF0,
introduced(function_definition,[]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_6) ).
fof(f59,plain,
multiply(sk_c1,sk_c10) = sF6,
introduced(function_definition,[]) ).
fof(f2479,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4 ),
inference(superposition,[],[f2398,f2399]) ).
fof(f2399,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4 ),
inference(forward_demodulation,[],[f2397,f2048]) ).
fof(f2048,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_demodulation,[],[f1817,f392]) ).
fof(f392,plain,
( sk_c1 = sk_c3
| ~ spl13_1
| ~ spl13_4 ),
inference(forward_demodulation,[],[f388,f241]) ).
fof(f241,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl13_4 ),
inference(superposition,[],[f154,f210]) ).
fof(f210,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f133,f122]) ).
fof(f122,plain,
( sk_c10 = sF2
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl13_4
<=> sk_c10 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f133,plain,
identity = multiply(sF2,sk_c1),
inference(superposition,[],[f2,f51]) ).
fof(f51,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f388,plain,
( sk_c3 = multiply(inverse(sk_c10),identity)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f257,f106]) ).
fof(f106,plain,
( sk_c10 = sF1
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f104,plain,
( spl13_1
<=> sk_c10 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f257,plain,
sk_c3 = multiply(inverse(sF1),identity),
inference(superposition,[],[f154,f138]) ).
fof(f138,plain,
identity = multiply(sF1,sk_c3),
inference(superposition,[],[f2,f49]) ).
fof(f49,plain,
inverse(sk_c3) = sF1,
introduced(function_definition,[]) ).
fof(f1817,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl13_1 ),
inference(backward_demodulation,[],[f49,f106]) ).
fof(f2397,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c9)
| spl13_2 ),
inference(superposition,[],[f154,f2396]) ).
fof(f2398,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| spl13_2 ),
inference(superposition,[],[f3,f2396]) ).
fof(f2314,plain,
( ! [X16] : multiply(sk_c2,multiply(sk_c9,X16)) = multiply(sk_c8,X16)
| ~ spl13_15 ),
inference(forward_demodulation,[],[f150,f541]) ).
fof(f150,plain,
! [X16] : multiply(sk_c2,multiply(sk_c9,X16)) = multiply(sF4,X16),
inference(superposition,[],[f3,f55]) ).
fof(f541,plain,
( sk_c8 = sF4
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f539,plain,
( spl13_15
<=> sk_c8 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f2855,plain,
( sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f2854,f2634]) ).
fof(f2854,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f2853,f2691]) ).
fof(f2691,plain,
( sk_c9 = sk_c2
| ~ spl13_11
| ~ spl13_12 ),
inference(superposition,[],[f2690,f2634]) ).
fof(f2690,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f2689,f324]) ).
fof(f2689,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl13_12 ),
inference(forward_demodulation,[],[f137,f429]) ).
fof(f137,plain,
identity = multiply(sF3,sk_c2),
inference(superposition,[],[f2,f53]) ).
fof(f2853,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f498,f429]) ).
fof(f498,plain,
( sk_c9 != multiply(sk_c2,sF3)
| sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_5 ),
inference(forward_demodulation,[],[f489,f53]) ).
fof(f489,plain,
( sk_c9 != multiply(sF3,sk_c8)
| sk_c9 != multiply(sk_c2,inverse(sk_c2))
| ~ spl13_5 ),
inference(superposition,[],[f169,f53]) ).
fof(f169,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f168,plain,
( spl13_5
<=> ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f2775,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2774,plain,
( $false
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f2773,f2634]) ).
fof(f2773,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2772,f2691]) ).
fof(f2772,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_6
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f2760,f2624]) ).
fof(f2760,plain,
( sk_c9 != multiply(sk_c2,sk_c8)
| ~ spl13_6
| ~ spl13_12 ),
inference(trivial_inequality_removal,[],[f2446]) ).
fof(f2446,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c2,sk_c8)
| ~ spl13_6
| ~ spl13_12 ),
inference(superposition,[],[f172,f2053]) ).
fof(f2053,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_12 ),
inference(forward_demodulation,[],[f53,f429]) ).
fof(f172,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl13_6
<=> ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f2758,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f2757]) ).
fof(f2757,plain,
( $false
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f2756,f2634]) ).
fof(f2756,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f2753]) ).
fof(f2753,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f2734,f2700]) ).
fof(f2700,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl13_11
| ~ spl13_12 ),
inference(backward_demodulation,[],[f2604,f2691]) ).
fof(f2604,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_12 ),
inference(forward_demodulation,[],[f53,f429]) ).
fof(f2734,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_7
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f175,f2624]) ).
fof(f175,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) )
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl13_7
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f2593,plain,
( spl13_2
| spl13_4 ),
inference(avatar_contradiction_clause,[],[f2592]) ).
fof(f2592,plain,
( $false
| spl13_2
| spl13_4 ),
inference(subsumption_resolution,[],[f2588,f121]) ).
fof(f121,plain,
( sk_c10 != sF2
| spl13_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f2588,plain,
( sk_c10 = sF2
| spl13_2 ),
inference(subsumption_resolution,[],[f52,f109]) ).
fof(f52,plain,
( sk_c7 = sF0
| sk_c10 = sF2 ),
inference(definition_folding,[],[f16,f51,f48]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_13) ).
fof(f2579,plain,
( spl13_2
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f2578]) ).
fof(f2578,plain,
( $false
| spl13_2
| spl13_12 ),
inference(subsumption_resolution,[],[f2577,f428]) ).
fof(f428,plain,
( sk_c9 != sF3
| spl13_12 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f2577,plain,
( sk_c9 = sF3
| spl13_2 ),
inference(subsumption_resolution,[],[f54,f109]) ).
fof(f54,plain,
( sk_c7 = sF0
| sk_c9 = sF3 ),
inference(definition_folding,[],[f30,f53,f48]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_27) ).
fof(f2576,plain,
( spl13_2
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2575,plain,
( $false
| spl13_2
| spl13_15 ),
inference(subsumption_resolution,[],[f2559,f540]) ).
fof(f540,plain,
( sk_c8 != sF4
| spl13_15 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f2559,plain,
( sk_c8 = sF4
| spl13_2 ),
inference(subsumption_resolution,[],[f56,f109]) ).
fof(f56,plain,
( sk_c7 = sF0
| sk_c8 = sF4 ),
inference(definition_folding,[],[f23,f55,f48]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_20) ).
fof(f2570,plain,
( ~ spl13_3
| ~ spl13_6
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f2569]) ).
fof(f2569,plain,
( $false
| ~ spl13_3
| ~ spl13_6
| spl13_15 ),
inference(subsumption_resolution,[],[f2135,f990]) ).
fof(f990,plain,
( sk_c9 = sF11
| spl13_15 ),
inference(subsumption_resolution,[],[f93,f540]) ).
fof(f93,plain,
( sk_c8 = sF4
| sk_c9 = sF11 ),
inference(definition_folding,[],[f21,f77,f55]) ).
fof(f77,plain,
multiply(sk_c5,sk_c8) = sF11,
introduced(function_definition,[]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_18) ).
fof(f2135,plain,
( sk_c9 != sF11
| ~ spl13_3
| ~ spl13_6 ),
inference(superposition,[],[f2134,f77]) ).
fof(f2134,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| ~ spl13_3
| ~ spl13_6 ),
inference(trivial_inequality_removal,[],[f2132]) ).
fof(f2132,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c5,sk_c8)
| ~ spl13_3
| ~ spl13_6 ),
inference(superposition,[],[f172,f1670]) ).
fof(f1670,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f68,f118]) ).
fof(f118,plain,
( sk_c9 = sF8
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl13_3
<=> sk_c9 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f68,plain,
inverse(sk_c5) = sF8,
introduced(function_definition,[]) ).
fof(f2562,plain,
( spl13_3
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f2561]) ).
fof(f2561,plain,
( $false
| spl13_3
| spl13_15 ),
inference(subsumption_resolution,[],[f1511,f540]) ).
fof(f1511,plain,
( sk_c8 = sF4
| spl13_3 ),
inference(subsumption_resolution,[],[f84,f117]) ).
fof(f117,plain,
( sk_c9 != sF8
| spl13_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f84,plain,
( sk_c9 = sF8
| sk_c8 = sF4 ),
inference(definition_folding,[],[f20,f55,f68]) ).
fof(f20,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_17) ).
fof(f2557,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f2556]) ).
fof(f2556,plain,
( $false
| ~ spl13_1
| spl13_2
| ~ spl13_4
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f2554,f325]) ).
fof(f325,plain,
( identity != sk_c9
| spl13_11 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f2554,plain,
( identity = sk_c9
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f2516,f2534]) ).
fof(f2387,plain,
( spl13_2
| ~ spl13_4
| ~ spl13_9 ),
inference(avatar_contradiction_clause,[],[f2386]) ).
fof(f2386,plain,
( $false
| spl13_2
| ~ spl13_4
| ~ spl13_9 ),
inference(subsumption_resolution,[],[f1243,f2369]) ).
fof(f1243,plain,
( sk_c9 != sF6
| ~ spl13_4
| ~ spl13_9 ),
inference(superposition,[],[f1236,f59]) ).
fof(f1236,plain,
( multiply(sk_c1,sk_c10) != sk_c9
| ~ spl13_4
| ~ spl13_9 ),
inference(trivial_inequality_removal,[],[f1232]) ).
fof(f1232,plain,
( sk_c10 != sk_c10
| multiply(sk_c1,sk_c10) != sk_c9
| ~ spl13_4
| ~ spl13_9 ),
inference(superposition,[],[f181,f211]) ).
fof(f211,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl13_4 ),
inference(backward_demodulation,[],[f51,f122]) ).
fof(f181,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl13_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl13_9
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f2036,plain,
( ~ spl13_2
| spl13_4
| spl13_11 ),
inference(avatar_contradiction_clause,[],[f2035]) ).
fof(f2035,plain,
( $false
| ~ spl13_2
| spl13_4
| spl13_11 ),
inference(subsumption_resolution,[],[f127,f609]) ).
fof(f609,plain,
( sk_c9 != sF10
| ~ spl13_2
| spl13_11 ),
inference(superposition,[],[f325,f593]) ).
fof(f593,plain,
( identity = sF10
| ~ spl13_2 ),
inference(superposition,[],[f424,f2]) ).
fof(f424,plain,
( sF10 = multiply(inverse(sk_c7),sk_c7)
| ~ spl13_2 ),
inference(superposition,[],[f154,f408]) ).
fof(f408,plain,
( sk_c7 = multiply(sk_c7,sF10)
| ~ spl13_2 ),
inference(forward_demodulation,[],[f406,f112]) ).
fof(f112,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl13_2 ),
inference(backward_demodulation,[],[f48,f110]) ).
fof(f110,plain,
( sk_c7 = sF0
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f406,plain,
sk_c7 = multiply(inverse(sk_c6),sF10),
inference(superposition,[],[f154,f74]) ).
fof(f74,plain,
multiply(sk_c6,sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f127,plain,
( sk_c9 = sF10
| spl13_4 ),
inference(subsumption_resolution,[],[f75,f121]) ).
fof(f75,plain,
( sk_c10 = sF2
| sk_c9 = sF10 ),
inference(definition_folding,[],[f15,f74,f51]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_12) ).
fof(f2029,plain,
( ~ spl13_2
| spl13_11
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f2028]) ).
fof(f2028,plain,
( $false
| ~ spl13_2
| spl13_11
| spl13_12 ),
inference(subsumption_resolution,[],[f462,f609]) ).
fof(f462,plain,
( sk_c9 = sF10
| spl13_12 ),
inference(subsumption_resolution,[],[f88,f428]) ).
fof(f88,plain,
( sk_c9 = sF3
| sk_c9 = sF10 ),
inference(definition_folding,[],[f29,f74,f53]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_26) ).
fof(f2023,plain,
( ~ spl13_2
| spl13_11
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2022,plain,
( $false
| ~ spl13_2
| spl13_11
| spl13_15 ),
inference(subsumption_resolution,[],[f2021,f609]) ).
fof(f2021,plain,
( sk_c9 = sF10
| spl13_15 ),
inference(subsumption_resolution,[],[f92,f540]) ).
fof(f92,plain,
( sk_c8 = sF4
| sk_c9 = sF10 ),
inference(definition_folding,[],[f22,f74,f55]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_19) ).
fof(f1977,plain,
( spl13_13
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f1976]) ).
fof(f1976,plain,
( $false
| spl13_13
| spl13_15 ),
inference(subsumption_resolution,[],[f1975,f540]) ).
fof(f1975,plain,
( sk_c8 = sF4
| spl13_13 ),
inference(subsumption_resolution,[],[f65,f432]) ).
fof(f432,plain,
( sk_c10 != sF7
| spl13_13 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl13_13
<=> sk_c10 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f65,plain,
( sk_c10 = sF7
| sk_c8 = sF4 ),
inference(definition_folding,[],[f18,f55,f61]) ).
fof(f61,plain,
inverse(sk_c4) = sF7,
introduced(function_definition,[]) ).
fof(f18,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_15) ).
fof(f1905,plain,
( ~ spl13_8
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f1904]) ).
fof(f1904,plain,
( $false
| ~ spl13_8
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f1903,f1866]) ).
fof(f1866,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl13_14 ),
inference(forward_demodulation,[],[f71,f537]) ).
fof(f537,plain,
( sk_c10 = sF9
| ~ spl13_14 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl13_14
<=> sk_c10 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f71,plain,
multiply(sk_c4,sk_c9) = sF9,
introduced(function_definition,[]) ).
fof(f1903,plain,
( sk_c10 != multiply(sk_c4,sk_c9)
| ~ spl13_8
| ~ spl13_13 ),
inference(trivial_inequality_removal,[],[f1900]) ).
fof(f1900,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c9)
| ~ spl13_8
| ~ spl13_13 ),
inference(superposition,[],[f178,f1853]) ).
fof(f1853,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl13_13 ),
inference(forward_demodulation,[],[f61,f433]) ).
fof(f433,plain,
( sk_c10 = sF7
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f178,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl13_8
<=> ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f1839,plain,
( spl13_4
| spl13_14 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1838,plain,
( $false
| spl13_4
| spl13_14 ),
inference(subsumption_resolution,[],[f1836,f536]) ).
fof(f536,plain,
( sk_c10 != sF9
| spl13_14 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f1836,plain,
( sk_c10 = sF9
| spl13_4 ),
inference(subsumption_resolution,[],[f73,f121]) ).
fof(f73,plain,
( sk_c10 = sF2
| sk_c10 = sF9 ),
inference(definition_folding,[],[f12,f71,f51]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_9) ).
fof(f1834,plain,
( spl13_4
| spl13_13 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1833,plain,
( $false
| spl13_4
| spl13_13 ),
inference(subsumption_resolution,[],[f1800,f432]) ).
fof(f1800,plain,
( sk_c10 = sF7
| spl13_4 ),
inference(subsumption_resolution,[],[f63,f121]) ).
fof(f63,plain,
( sk_c10 = sF7
| sk_c10 = sF2 ),
inference(definition_folding,[],[f11,f51,f61]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_8) ).
fof(f1789,plain,
( ~ spl13_2
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f1788]) ).
fof(f1788,plain,
( $false
| ~ spl13_2
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f1785,f1442]) ).
fof(f1442,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl13_13
| ~ spl13_14 ),
inference(forward_demodulation,[],[f1355,f433]) ).
fof(f1355,plain,
( sk_c9 = multiply(sF7,sk_c10)
| ~ spl13_14 ),
inference(forward_demodulation,[],[f405,f537]) ).
fof(f405,plain,
sk_c9 = multiply(sF7,sF9),
inference(forward_demodulation,[],[f403,f61]) ).
fof(f403,plain,
sk_c9 = multiply(inverse(sk_c4),sF9),
inference(superposition,[],[f154,f71]) ).
fof(f1785,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl13_2
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13
| ~ spl13_14 ),
inference(superposition,[],[f1753,f1378]) ).
fof(f1378,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c10,X0)
| ~ spl13_2
| ~ spl13_11
| ~ spl13_14 ),
inference(forward_demodulation,[],[f1376,f966]) ).
fof(f966,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl13_2
| ~ spl13_11 ),
inference(forward_demodulation,[],[f598,f959]) ).
fof(f959,plain,
( sk_c9 = sF10
| ~ spl13_2
| ~ spl13_11 ),
inference(forward_demodulation,[],[f593,f324]) ).
fof(f598,plain,
( ! [X0] : multiply(sF10,X0) = X0
| ~ spl13_2 ),
inference(backward_demodulation,[],[f1,f593]) ).
fof(f1376,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl13_14 ),
inference(superposition,[],[f3,f1351]) ).
fof(f1351,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl13_14 ),
inference(forward_demodulation,[],[f71,f537]) ).
fof(f1753,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl13_9
| ~ spl13_13 ),
inference(trivial_inequality_removal,[],[f1750]) ).
fof(f1750,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl13_9
| ~ spl13_13 ),
inference(superposition,[],[f181,f1395]) ).
fof(f1395,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl13_13 ),
inference(backward_demodulation,[],[f61,f433]) ).
fof(f1662,plain,
( ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1661,plain,
( $false
| ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f1660,f966]) ).
fof(f1660,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1659,f429]) ).
fof(f1659,plain,
( sk_c9 != multiply(sF3,sk_c9)
| ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1658,f1273]) ).
fof(f1273,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f541,f802]) ).
fof(f802,plain,
( sk_c9 = sF4
| ~ spl13_2
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f541,f754]) ).
fof(f754,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f720,f324]) ).
fof(f720,plain,
( identity = sk_c8
| ~ spl13_2
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f593,f712]) ).
fof(f712,plain,
( sk_c8 = sF10
| ~ spl13_2
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f550,f599]) ).
fof(f599,plain,
( ! [X0] : multiply(inverse(X0),X0) = sF10
| ~ spl13_2 ),
inference(backward_demodulation,[],[f2,f593]) ).
fof(f550,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f154,f544]) ).
fof(f544,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f502,f541]) ).
fof(f502,plain,
( sk_c9 = multiply(sk_c9,sF4)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f264,f429]) ).
fof(f1658,plain,
( sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(subsumption_resolution,[],[f1657,f966]) ).
fof(f1657,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_2
| ~ spl13_5
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f1656,f1314]) ).
fof(f1314,plain,
( sk_c9 = sk_c2
| ~ spl13_2
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f1313,f1087]) ).
fof(f1087,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c9
| ~ spl13_2
| ~ spl13_11 ),
inference(forward_demodulation,[],[f599,f959]) ).
fof(f1313,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f1013,f429]) ).
fof(f1013,plain,
( sk_c2 = multiply(inverse(sF3),sk_c9)
| ~ spl13_11 ),
inference(forward_demodulation,[],[f258,f324]) ).
fof(f258,plain,
sk_c2 = multiply(inverse(sF3),identity),
inference(superposition,[],[f154,f137]) ).
fof(f1656,plain,
( sk_c9 != multiply(sk_c2,sk_c9)
| sk_c9 != multiply(sF3,sk_c8)
| ~ spl13_5
| ~ spl13_12 ),
inference(forward_demodulation,[],[f498,f429]) ).
fof(f1578,plain,
( ~ spl13_2
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1577,plain,
( $false
| ~ spl13_2
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f1576,f966]) ).
fof(f1576,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f1573]) ).
fof(f1573,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f1330,f1497]) ).
fof(f1497,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl13_2
| ~ spl13_11
| ~ spl13_12 ),
inference(forward_demodulation,[],[f1493,f1314]) ).
fof(f1493,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f53,f429]) ).
fof(f1330,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl13_2
| ~ spl13_7
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f175,f1273]) ).
fof(f1559,plain,
( ~ spl13_2
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl13_2
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f1557,f966]) ).
fof(f1557,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f1554]) ).
fof(f1554,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f1315,f1497]) ).
fof(f1315,plain,
( ! [X7] :
( sk_c9 != inverse(X7)
| sk_c9 != multiply(X7,sk_c9) )
| ~ spl13_2
| ~ spl13_6
| ~ spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f172,f1273]) ).
fof(f1489,plain,
( spl13_3
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f1488]) ).
fof(f1488,plain,
( $false
| spl13_3
| spl13_12 ),
inference(subsumption_resolution,[],[f1487,f428]) ).
fof(f1487,plain,
( sk_c9 = sF3
| spl13_3 ),
inference(subsumption_resolution,[],[f83,f117]) ).
fof(f83,plain,
( sk_c9 = sF8
| sk_c9 = sF3 ),
inference(definition_folding,[],[f27,f53,f68]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_24) ).
fof(f1392,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_8
| spl13_13 ),
inference(avatar_contradiction_clause,[],[f1391]) ).
fof(f1391,plain,
( $false
| ~ spl13_1
| ~ spl13_4
| ~ spl13_8
| spl13_13 ),
inference(subsumption_resolution,[],[f1390,f1383]) ).
fof(f1383,plain,
( sk_c10 != sF5
| ~ spl13_1
| ~ spl13_4
| ~ spl13_8 ),
inference(superposition,[],[f1254,f1372]) ).
fof(f1372,plain,
( sF5 = multiply(sk_c1,sk_c9)
| ~ spl13_1
| ~ spl13_4 ),
inference(backward_demodulation,[],[f57,f392]) ).
fof(f57,plain,
multiply(sk_c3,sk_c9) = sF5,
introduced(function_definition,[]) ).
fof(f1254,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl13_4
| ~ spl13_8 ),
inference(trivial_inequality_removal,[],[f1250]) ).
fof(f1250,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl13_4
| ~ spl13_8 ),
inference(superposition,[],[f178,f211]) ).
fof(f1390,plain,
( sk_c10 = sF5
| spl13_13 ),
inference(subsumption_resolution,[],[f66,f432]) ).
fof(f66,plain,
( sk_c10 = sF7
| sk_c10 = sF5 ),
inference(definition_folding,[],[f39,f57,f61]) ).
fof(f39,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_36) ).
fof(f1268,plain,
( spl13_14
| spl13_1 ),
inference(avatar_split_clause,[],[f125,f104,f535]) ).
fof(f125,plain,
( sk_c10 = sF9
| spl13_1 ),
inference(subsumption_resolution,[],[f72,f105]) ).
fof(f105,plain,
( sk_c10 != sF1
| spl13_1 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f72,plain,
( sk_c10 = sF1
| sk_c10 = sF9 ),
inference(definition_folding,[],[f33,f71,f49]) ).
fof(f33,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_30) ).
fof(f1256,plain,
( spl13_1
| ~ spl13_4
| ~ spl13_8
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1255,plain,
( $false
| spl13_1
| ~ spl13_4
| ~ spl13_8
| ~ spl13_14 ),
inference(subsumption_resolution,[],[f1254,f1220]) ).
fof(f1220,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| spl13_1
| ~ spl13_4
| ~ spl13_14 ),
inference(forward_demodulation,[],[f1212,f274]) ).
fof(f274,plain,
( sk_c1 = sk_c4
| spl13_1
| ~ spl13_4 ),
inference(forward_demodulation,[],[f243,f241]) ).
fof(f243,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| spl13_1 ),
inference(superposition,[],[f154,f134]) ).
fof(f134,plain,
( identity = multiply(sk_c10,sk_c4)
| spl13_1 ),
inference(superposition,[],[f2,f114]) ).
fof(f114,plain,
( sk_c10 = inverse(sk_c4)
| spl13_1 ),
inference(backward_demodulation,[],[f61,f113]) ).
fof(f113,plain,
( sk_c10 = sF7
| spl13_1 ),
inference(subsumption_resolution,[],[f62,f105]) ).
fof(f62,plain,
( sk_c10 = sF7
| sk_c10 = sF1 ),
inference(definition_folding,[],[f32,f49,f61]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_29) ).
fof(f1212,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl13_14 ),
inference(forward_demodulation,[],[f71,f537]) ).
fof(f1248,plain,
( ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_11 ),
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1247,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| ~ spl13_9
| ~ spl13_11 ),
inference(subsumption_resolution,[],[f1246,f1243]) ).
fof(f1246,plain,
( sk_c9 = sF6
| ~ spl13_2
| ~ spl13_4
| ~ spl13_11 ),
inference(forward_demodulation,[],[f1244,f1087]) ).
fof(f1244,plain,
( sF6 = multiply(inverse(sk_c10),sk_c10)
| ~ spl13_4 ),
inference(superposition,[],[f154,f853]) ).
fof(f853,plain,
( sk_c10 = multiply(sk_c10,sF6)
| ~ spl13_4 ),
inference(forward_demodulation,[],[f851,f211]) ).
fof(f851,plain,
sk_c10 = multiply(inverse(sk_c1),sF6),
inference(superposition,[],[f154,f59]) ).
fof(f1211,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_7
| ~ spl13_11
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f1210]) ).
fof(f1210,plain,
( $false
| ~ spl13_2
| ~ spl13_3
| ~ spl13_7
| ~ spl13_11
| spl13_12 ),
inference(subsumption_resolution,[],[f1209,f966]) ).
fof(f1209,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_7
| ~ spl13_11
| spl13_12 ),
inference(trivial_inequality_removal,[],[f1207]) ).
fof(f1207,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_7
| ~ spl13_11
| spl13_12 ),
inference(superposition,[],[f1194,f1031]) ).
fof(f1031,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11 ),
inference(backward_demodulation,[],[f124,f1024]) ).
fof(f1024,plain,
( sk_c9 = sk_c5
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11 ),
inference(superposition,[],[f982,f966]) ).
fof(f982,plain,
( sk_c9 = multiply(sk_c9,sk_c5)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11 ),
inference(forward_demodulation,[],[f600,f959]) ).
fof(f600,plain,
( sF10 = multiply(sk_c9,sk_c5)
| ~ spl13_2
| ~ spl13_3 ),
inference(backward_demodulation,[],[f135,f593]) ).
fof(f135,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl13_3 ),
inference(superposition,[],[f2,f124]) ).
fof(f124,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl13_3 ),
inference(backward_demodulation,[],[f68,f118]) ).
fof(f1194,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl13_2
| ~ spl13_3
| ~ spl13_7
| ~ spl13_11
| spl13_12 ),
inference(forward_demodulation,[],[f175,f1108]) ).
fof(f1108,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12 ),
inference(forward_demodulation,[],[f1105,f470]) ).
fof(f470,plain,
( sk_c9 = sF11
| spl13_12 ),
inference(subsumption_resolution,[],[f89,f428]) ).
fof(f89,plain,
( sk_c9 = sF3
| sk_c9 = sF11 ),
inference(definition_folding,[],[f28,f77,f53]) ).
fof(f28,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_25) ).
fof(f1105,plain,
( sk_c8 = sF11
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11 ),
inference(forward_demodulation,[],[f1104,f966]) ).
fof(f1104,plain,
( sF11 = multiply(sk_c9,sk_c8)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11 ),
inference(forward_demodulation,[],[f77,f1024]) ).
fof(f1161,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f1160]) ).
fof(f1160,plain,
( $false
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f1159,f428]) ).
fof(f1159,plain,
( sk_c9 = sF3
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1158,f1031]) ).
fof(f1158,plain,
( sF3 = inverse(sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f53,f1151]) ).
fof(f1151,plain,
( sk_c9 = sk_c2
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f1135,f1012]) ).
fof(f1012,plain,
( sk_c9 = multiply(sF3,sk_c2)
| ~ spl13_11 ),
inference(forward_demodulation,[],[f137,f324]) ).
fof(f1135,plain,
( ! [X0] : multiply(sF3,X0) = X0
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1133,f53]) ).
fof(f1133,plain,
( ! [X0] : multiply(inverse(sk_c2),X0) = X0
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f154,f1117]) ).
fof(f1117,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1115,f966]) ).
fof(f1115,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f3,f1113]) ).
fof(f1113,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f1107,f1108]) ).
fof(f1107,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl13_15 ),
inference(backward_demodulation,[],[f55,f541]) ).
fof(f1096,plain,
( ~ spl13_2
| ~ spl13_3
| spl13_10
| ~ spl13_11
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f1095]) ).
fof(f1095,plain,
( $false
| ~ spl13_2
| ~ spl13_3
| spl13_10
| ~ spl13_11
| spl13_15 ),
inference(subsumption_resolution,[],[f1094,f966]) ).
fof(f1094,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl13_2
| ~ spl13_3
| spl13_10
| ~ spl13_11
| spl13_15 ),
inference(forward_demodulation,[],[f999,f1031]) ).
fof(f999,plain,
( sk_c9 != multiply(sk_c9,inverse(sk_c9))
| ~ spl13_2
| ~ spl13_3
| spl13_10
| ~ spl13_11
| spl13_15 ),
inference(backward_demodulation,[],[f321,f995]) ).
fof(f995,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_15 ),
inference(forward_demodulation,[],[f994,f966]) ).
fof(f994,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl13_3
| spl13_15 ),
inference(forward_demodulation,[],[f992,f124]) ).
fof(f992,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| spl13_15 ),
inference(superposition,[],[f154,f991]) ).
fof(f991,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| spl13_15 ),
inference(backward_demodulation,[],[f77,f990]) ).
fof(f321,plain,
( sk_c9 != multiply(sk_c8,inverse(sk_c8))
| spl13_10 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl13_10
<=> sk_c9 = multiply(sk_c8,inverse(sk_c8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1009,plain,
( ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| ~ spl13_12
| spl13_15 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1008,plain,
( $false
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| ~ spl13_12
| spl13_15 ),
inference(subsumption_resolution,[],[f1005,f1000]) ).
fof(f1000,plain,
( sk_c9 != sF4
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_15 ),
inference(backward_demodulation,[],[f540,f995]) ).
fof(f1005,plain,
( sk_c9 = sF4
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| ~ spl13_12
| spl13_15 ),
inference(backward_demodulation,[],[f506,f1001]) ).
fof(f1001,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl13_2
| ~ spl13_3
| ~ spl13_11
| spl13_15 ),
inference(backward_demodulation,[],[f991,f995]) ).
fof(f506,plain,
( sF4 = multiply(sk_c5,sk_c9)
| ~ spl13_3
| ~ spl13_12 ),
inference(backward_demodulation,[],[f55,f505]) ).
fof(f505,plain,
( sk_c5 = sk_c2
| ~ spl13_3
| ~ spl13_12 ),
inference(forward_demodulation,[],[f501,f245]) ).
fof(f245,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl13_3 ),
inference(superposition,[],[f154,f135]) ).
fof(f501,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl13_12 ),
inference(backward_demodulation,[],[f258,f429]) ).
fof(f953,plain,
( ~ spl13_2
| ~ spl13_4
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f952,plain,
( $false
| ~ spl13_2
| ~ spl13_4
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(subsumption_resolution,[],[f951,f744]) ).
fof(f744,plain,
( sk_c9 != sk_c8
| ~ spl13_2
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(superposition,[],[f325,f720]) ).
fof(f951,plain,
( sk_c9 = sk_c8
| ~ spl13_2
| ~ spl13_4
| spl13_11
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f950,f881]) ).
fof(f881,plain,
( sk_c9 = sF6
| ~ spl13_2
| spl13_11 ),
inference(subsumption_resolution,[],[f100,f609]) ).
fof(f100,plain,
( sk_c9 = sF10
| sk_c9 = sF6 ),
inference(definition_folding,[],[f8,f59,f74]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_5) ).
fof(f950,plain,
( sk_c8 = sF6
| ~ spl13_2
| ~ spl13_4
| ~ spl13_12
| ~ spl13_15 ),
inference(forward_demodulation,[],[f879,f722]) ).
fof(f722,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl13_2
| ~ spl13_12
| ~ spl13_15 ),
inference(backward_demodulation,[],[f599,f712]) ).
fof(f879,plain,
( sF6 = multiply(inverse(sk_c10),sk_c10)
| ~ spl13_4 ),
inference(superposition,[],[f154,f853]) ).
fof(f554,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_13
| spl13_14 ),
inference(avatar_contradiction_clause,[],[f553]) ).
fof(f553,plain,
( $false
| ~ spl13_1
| ~ spl13_4
| ~ spl13_13
| spl13_14 ),
inference(subsumption_resolution,[],[f552,f543]) ).
fof(f543,plain,
( sk_c10 != sF5
| ~ spl13_1
| ~ spl13_4
| ~ spl13_13
| spl13_14 ),
inference(superposition,[],[f536,f446]) ).
fof(f446,plain,
( sF5 = sF9
| ~ spl13_1
| ~ spl13_4
| ~ spl13_13 ),
inference(forward_demodulation,[],[f445,f393]) ).
fof(f393,plain,
( sF5 = multiply(sk_c1,sk_c9)
| ~ spl13_1
| ~ spl13_4 ),
inference(backward_demodulation,[],[f57,f392]) ).
fof(f445,plain,
( sF9 = multiply(sk_c1,sk_c9)
| ~ spl13_4
| ~ spl13_13 ),
inference(backward_demodulation,[],[f71,f441]) ).
fof(f441,plain,
( sk_c1 = sk_c4
| ~ spl13_4
| ~ spl13_13 ),
inference(forward_demodulation,[],[f439,f241]) ).
fof(f439,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl13_13 ),
inference(superposition,[],[f154,f435]) ).
fof(f435,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl13_13 ),
inference(backward_demodulation,[],[f398,f433]) ).
fof(f398,plain,
identity = multiply(sF7,sk_c4),
inference(superposition,[],[f2,f61]) ).
fof(f552,plain,
( sk_c10 = sF5
| spl13_14 ),
inference(subsumption_resolution,[],[f95,f536]) ).
fof(f95,plain,
( sk_c10 = sF9
| sk_c10 = sF5 ),
inference(definition_folding,[],[f40,f57,f71]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_37) ).
fof(f542,plain,
( spl13_14
| spl13_15 ),
inference(avatar_split_clause,[],[f91,f539,f535]) ).
fof(f91,plain,
( sk_c8 = sF4
| sk_c10 = sF9 ),
inference(definition_folding,[],[f19,f71,f55]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_16) ).
fof(f326,plain,
( ~ spl13_10
| ~ spl13_11
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f197,f168,f323,f319]) ).
fof(f197,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c8,inverse(sk_c8))
| ~ spl13_5 ),
inference(superposition,[],[f169,f2]) ).
fof(f182,plain,
( spl13_5
| spl13_6
| spl13_7
| spl13_8
| spl13_8
| spl13_9 ),
inference(avatar_split_clause,[],[f47,f180,f177,f177,f174,f171,f168]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X8,inverse(X8)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| inverse(X8) != X9
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X8,X9) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_43) ).
fof(f111,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f50,f108,f104]) ).
fof(f50,plain,
( sk_c7 = sF0
| sk_c10 = sF1 ),
inference(definition_folding,[],[f37,f49,f48]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.q2pdHpydfw/Vampire---4.8_25162',prove_this_34) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : GRP245-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36 % Computer : n005.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 : Mon Aug 28 22:19:53 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.q2pdHpydfw/Vampire---4.8_25162
% 0.14/0.37 % (25385)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (25391)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43 % (25390)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)
% 0.21/0.43 % (25389)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)
% 0.21/0.43 % (25386)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)
% 0.21/0.43 % (25388)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)
% 0.21/0.43 % (25392)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)
% 0.21/0.43 % (25387)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)
% 0.21/0.51 % (25391)First to succeed.
% 0.21/0.51 % (25391)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.51 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.52 % (25391)------------------------------
% 0.21/0.52 % (25391)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.52 % (25391)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.52 % (25391)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (25391)Memory used [KB]: 6268
% 0.21/0.52 % (25391)Time elapsed: 0.084 s
% 0.21/0.52 % (25391)------------------------------
% 0.21/0.52 % (25391)------------------------------
% 0.21/0.52 % (25387)Refutation not found, SMT solver inside AVATAR returned Unknown% (25387)------------------------------
% 0.21/0.52 % (25387)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.52 % (25387)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.52 % (25387)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 0.21/0.52
% 0.21/0.52 % (25387)Memory used [KB]: 1279
% 0.21/0.52 % (25387)Time elapsed: 0.088 s
% 0.21/0.52 % (25387)------------------------------
% 0.21/0.52 % (25387)------------------------------
% 0.21/0.52 % (25385)Success in time 0.146 s
% 0.21/0.52 % Vampire---4.8 exiting
%------------------------------------------------------------------------------