TSTP Solution File: GRP295-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP295-1 : 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 01:23:08 EDT 2023
% Result : Unsatisfiable 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 54
% Syntax : Number of formulae : 367 ( 29 unt; 0 def)
% Number of atoms : 1329 ( 503 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1737 ( 775 ~; 947 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 19 con; 0-2 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1522,plain,
$false,
inference(avatar_sat_refutation,[],[f85,f153,f244,f298,f340,f396,f434,f478,f588,f592,f598,f683,f743,f797,f863,f893,f909,f964,f988,f1050,f1095,f1111,f1156,f1167,f1170,f1191,f1212,f1339,f1404,f1431,f1483,f1511,f1517,f1521]) ).
fof(f1521,plain,
( spl11_15
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(avatar_split_clause,[],[f1518,f145,f134,f82,f78,f861]) ).
fof(f861,plain,
( spl11_15
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f78,plain,
( spl11_1
<=> sk_c7 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f82,plain,
( spl11_2
<=> sk_c6 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f134,plain,
( spl11_3
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f145,plain,
( spl11_6
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f1518,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_6 ),
inference(forward_demodulation,[],[f146,f1208]) ).
fof(f1208,plain,
( sk_c7 = sk_c6
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f84,f269]) ).
fof(f269,plain,
( sk_c7 = sF0
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f84,f268]) ).
fof(f268,plain,
( sk_c7 = sk_c6
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f266,f94]) ).
fof(f94,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl11_1 ),
inference(backward_demodulation,[],[f57,f93]) ).
fof(f93,plain,
( sk_c7 = sF10
| spl11_1 ),
inference(subsumption_resolution,[],[f58,f79]) ).
fof(f79,plain,
( sk_c7 != sF1
| spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f58,plain,
( sk_c7 = sF1
| sk_c7 = sF10 ),
inference(definition_folding,[],[f31,f57,f36]) ).
fof(f36,plain,
inverse(sk_c2) = sF1,
introduced(function_definition,[]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_28) ).
fof(f57,plain,
multiply(sk_c3,sk_c6) = sF10,
introduced(function_definition,[]) ).
fof(f266,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f230,f255]) ).
fof(f255,plain,
( sk_c6 = sk_c5
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f135,f254]) ).
fof(f254,plain,
( sk_c6 = sF6
| spl11_1
| ~ spl11_2 ),
inference(forward_demodulation,[],[f231,f230]) ).
fof(f231,plain,
( sF6 = multiply(sk_c3,sk_c5)
| spl11_1
| ~ spl11_2 ),
inference(forward_demodulation,[],[f225,f46]) ).
fof(f46,plain,
multiply(sk_c7,sk_c6) = sF6,
introduced(function_definition,[]) ).
fof(f225,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| spl11_1
| ~ spl11_2 ),
inference(superposition,[],[f107,f125]) ).
fof(f125,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| spl11_1
| ~ spl11_2 ),
inference(superposition,[],[f115,f92]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl11_1 ),
inference(backward_demodulation,[],[f54,f91]) ).
fof(f91,plain,
( sk_c6 = sF9
| spl11_1 ),
inference(subsumption_resolution,[],[f55,f79]) ).
fof(f55,plain,
( sk_c7 = sF1
| sk_c6 = sF9 ),
inference(definition_folding,[],[f33,f54,f36]) ).
fof(f33,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_30) ).
fof(f54,plain,
multiply(sk_c4,sk_c5) = sF9,
introduced(function_definition,[]) ).
fof(f115,plain,
( ! [X12] : multiply(sk_c6,multiply(sk_c4,X12)) = X12
| ~ spl11_2 ),
inference(forward_demodulation,[],[f106,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',left_identity) ).
fof(f106,plain,
( ! [X12] : multiply(sk_c6,multiply(sk_c4,X12)) = multiply(identity,X12)
| ~ spl11_2 ),
inference(superposition,[],[f3,f96]) ).
fof(f96,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl11_2 ),
inference(superposition,[],[f2,f86]) ).
fof(f86,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f35,f84]) ).
fof(f35,plain,
inverse(sk_c4) = sF0,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',associativity) ).
fof(f107,plain,
( ! [X13] : multiply(sk_c3,multiply(sk_c6,X13)) = multiply(sk_c7,X13)
| spl11_1 ),
inference(superposition,[],[f3,f94]) ).
fof(f135,plain,
( sk_c5 = sF6
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f230,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| spl11_1 ),
inference(forward_demodulation,[],[f224,f120]) ).
fof(f120,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| spl11_1 ),
inference(superposition,[],[f114,f94]) ).
fof(f114,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c3,X10)) = X10
| spl11_1 ),
inference(forward_demodulation,[],[f104,f1]) ).
fof(f104,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c3,X10)) = multiply(identity,X10)
| spl11_1 ),
inference(superposition,[],[f3,f95]) ).
fof(f95,plain,
( identity = multiply(sk_c7,sk_c3)
| spl11_1 ),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
( sk_c7 = inverse(sk_c3)
| spl11_1 ),
inference(backward_demodulation,[],[f48,f87]) ).
fof(f87,plain,
( sk_c7 = sF7
| spl11_1 ),
inference(subsumption_resolution,[],[f49,f79]) ).
fof(f49,plain,
( sk_c7 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f30,f48,f36]) ).
fof(f30,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_27) ).
fof(f48,plain,
inverse(sk_c3) = sF7,
introduced(function_definition,[]) ).
fof(f224,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| spl11_1 ),
inference(superposition,[],[f107,f90]) ).
fof(f90,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| spl11_1 ),
inference(backward_demodulation,[],[f51,f89]) ).
fof(f89,plain,
( sk_c5 = sF8
| spl11_1 ),
inference(subsumption_resolution,[],[f52,f79]) ).
fof(f52,plain,
( sk_c7 = sF1
| sk_c5 = sF8 ),
inference(definition_folding,[],[f29,f51,f36]) ).
fof(f29,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_26) ).
fof(f51,plain,
multiply(sk_c6,sk_c7) = sF8,
introduced(function_definition,[]) ).
fof(f84,plain,
( sk_c6 = sF0
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f146,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f1517,plain,
( spl11_15
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f1512,f148,f134,f82,f78,f861]) ).
fof(f148,plain,
( spl11_7
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1512,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5) )
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_7 ),
inference(forward_demodulation,[],[f149,f1208]) ).
fof(f149,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f1511,plain,
( spl11_15
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1456,f794,f151,f134,f82,f78,f861]) ).
fof(f151,plain,
( spl11_8
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f794,plain,
( spl11_14
<=> sk_c7 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f1456,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1455,f1208]) ).
fof(f1455,plain,
( ! [X6] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1382,f1208]) ).
fof(f1382,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c6 != inverse(X6) )
| ~ spl11_8
| ~ spl11_14 ),
inference(forward_demodulation,[],[f152,f796]) ).
fof(f796,plain,
( sk_c7 = sk_c5
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f152,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f1483,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| spl11_13
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| spl11_13
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1477,f791]) ).
fof(f791,plain,
( sk_c7 != sF4
| spl11_13 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl11_13
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1477,plain,
( sk_c7 = sF4
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_10
| ~ spl11_14 ),
inference(superposition,[],[f1425,f1469]) ).
fof(f1469,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_14 ),
inference(backward_demodulation,[],[f1,f1459]) ).
fof(f1459,plain,
( identity = sk_c7
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_14 ),
inference(superposition,[],[f1380,f2]) ).
fof(f1380,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1367,f796]) ).
fof(f1367,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f410,f294]) ).
fof(f294,plain,
( sk_c7 = sF5
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f284,f285]) ).
fof(f285,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f258,f268]) ).
fof(f258,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f90,f255]) ).
fof(f284,plain,
( sF5 = multiply(sk_c7,sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f256,f268]) ).
fof(f256,plain,
( multiply(sk_c7,sk_c6) = sF5
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f44,f255]) ).
fof(f44,plain,
multiply(sk_c7,sk_c5) = sF5,
introduced(function_definition,[]) ).
fof(f410,plain,
sk_c5 = multiply(inverse(sk_c7),sF5),
inference(superposition,[],[f113,f44]) ).
fof(f113,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f101,f1]) ).
fof(f101,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f1425,plain,
( sk_c7 = multiply(sk_c7,sF4)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f1423,f1409]) ).
fof(f1409,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f38,f339]) ).
fof(f339,plain,
( sk_c7 = sF2
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl11_10
<=> sk_c7 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f38,plain,
inverse(sk_c1) = sF2,
introduced(function_definition,[]) ).
fof(f1423,plain,
sk_c7 = multiply(inverse(sk_c1),sF4),
inference(superposition,[],[f113,f42]) ).
fof(f42,plain,
multiply(sk_c1,sk_c7) = sF4,
introduced(function_definition,[]) ).
fof(f1431,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1430]) ).
fof(f1430,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_9
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1373,f1241]) ).
fof(f1241,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1240,f282]) ).
fof(f282,plain,
( sk_c3 = sk_c4
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f278,f170]) ).
fof(f170,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| spl11_1 ),
inference(superposition,[],[f113,f95]) ).
fof(f278,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f174,f268]) ).
fof(f174,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl11_2 ),
inference(superposition,[],[f113,f96]) ).
fof(f1240,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_14 ),
inference(forward_demodulation,[],[f1239,f796]) ).
fof(f1239,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(forward_demodulation,[],[f54,f271]) ).
fof(f271,plain,
( sk_c7 = sF9
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f91,f268]) ).
fof(f1373,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl11_9
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f918,f335]) ).
fof(f335,plain,
( sk_c7 = sF7
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f333,plain,
( spl11_9
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f918,plain,
( sk_c7 != sF7
| sk_c7 != multiply(sk_c3,sk_c7)
| ~ spl11_15 ),
inference(superposition,[],[f862,f48]) ).
fof(f862,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f1404,plain,
( ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl11_10
| ~ spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f1377,f1231]) ).
fof(f1231,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f42,f792]) ).
fof(f792,plain,
( sk_c7 = sF4
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1377,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl11_10
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f915]) ).
fof(f915,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl11_10
| ~ spl11_15 ),
inference(superposition,[],[f862,f905]) ).
fof(f905,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f38,f339]) ).
fof(f1339,plain,
( spl11_15
| ~ spl11_5
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f1290,f794,f142,f861]) ).
fof(f142,plain,
( spl11_5
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1290,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl11_5
| ~ spl11_14 ),
inference(forward_demodulation,[],[f143,f796]) ).
fof(f143,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f1212,plain,
( spl11_14
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f280,f134,f82,f78,f794]) ).
fof(f280,plain,
( sk_c7 = sk_c5
| spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(backward_demodulation,[],[f255,f268]) ).
fof(f1191,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12
| spl11_14 ),
inference(avatar_contradiction_clause,[],[f1190]) ).
fof(f1190,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12
| spl11_14 ),
inference(subsumption_resolution,[],[f1189,f795]) ).
fof(f795,plain,
( sk_c7 != sk_c5
| spl11_14 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f1189,plain,
( sk_c7 = sk_c5
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1177,f1168]) ).
fof(f1168,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_12 ),
inference(backward_demodulation,[],[f760,f706]) ).
fof(f706,plain,
( sk_c7 = sF10
| spl11_3 ),
inference(subsumption_resolution,[],[f75,f136]) ).
fof(f136,plain,
( sk_c5 != sF6
| spl11_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f75,plain,
( sk_c7 = sF10
| sk_c5 = sF6 ),
inference(definition_folding,[],[f6,f46,f57]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_3) ).
fof(f760,plain,
( sF10 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f57,f711]) ).
fof(f711,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(backward_demodulation,[],[f139,f440]) ).
fof(f440,plain,
( sk_c7 = sF5
| ~ spl11_1
| ~ spl11_12 ),
inference(backward_demodulation,[],[f44,f435]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl11_1
| ~ spl11_12 ),
inference(backward_demodulation,[],[f406,f433]) ).
fof(f433,plain,
( sk_c5 = sF3
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl11_12
<=> sk_c5 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f406,plain,
( sk_c7 = multiply(sk_c7,sF3)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f404,f303]) ).
fof(f303,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f36,f80]) ).
fof(f80,plain,
( sk_c7 = sF1
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f404,plain,
sk_c7 = multiply(inverse(sk_c2),sF3),
inference(superposition,[],[f113,f40]) ).
fof(f40,plain,
multiply(sk_c2,sk_c7) = sF3,
introduced(function_definition,[]) ).
fof(f139,plain,
( sk_c6 = sF5
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl11_4
<=> sk_c6 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f1177,plain,
( sk_c5 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f734,f545]) ).
fof(f545,plain,
( sk_c3 = sk_c2
| ~ spl11_1
| ~ spl11_9 ),
inference(backward_demodulation,[],[f299,f415]) ).
fof(f415,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl11_9 ),
inference(superposition,[],[f113,f398]) ).
fof(f398,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f309,f335]) ).
fof(f309,plain,
identity = multiply(sF7,sk_c3),
inference(superposition,[],[f2,f48]) ).
fof(f299,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f179,f80]) ).
fof(f179,plain,
sk_c2 = multiply(inverse(sF1),identity),
inference(superposition,[],[f113,f98]) ).
fof(f98,plain,
identity = multiply(sF1,sk_c2),
inference(superposition,[],[f2,f36]) ).
fof(f734,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| ~ spl11_12 ),
inference(forward_demodulation,[],[f40,f433]) ).
fof(f1170,plain,
( spl11_3
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| spl11_3
| spl11_9 ),
inference(subsumption_resolution,[],[f972,f136]) ).
fof(f972,plain,
( sk_c5 = sF6
| spl11_9 ),
inference(subsumption_resolution,[],[f63,f334]) ).
fof(f334,plain,
( sk_c7 != sF7
| spl11_9 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f63,plain,
( sk_c7 = sF7
| sk_c5 = sF6 ),
inference(definition_folding,[],[f5,f46,f48]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_2) ).
fof(f1167,plain,
( spl11_12
| spl11_9 ),
inference(avatar_split_clause,[],[f358,f333,f431]) ).
fof(f358,plain,
( sk_c5 = sF3
| spl11_9 ),
inference(subsumption_resolution,[],[f60,f334]) ).
fof(f60,plain,
( sk_c7 = sF7
| sk_c5 = sF3 ),
inference(definition_folding,[],[f25,f40,f48]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_22) ).
fof(f1156,plain,
( ~ spl11_1
| ~ spl11_4
| spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f1152,f1102]) ).
fof(f1102,plain,
( sk_c7 != sF8
| spl11_11
| ~ spl11_14 ),
inference(forward_demodulation,[],[f428,f796]) ).
fof(f428,plain,
( sk_c5 != sF8
| spl11_11 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f427,plain,
( spl11_11
<=> sk_c5 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1152,plain,
( sk_c7 = sF8
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f1062,f1097]) ).
fof(f1097,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f994,f796]) ).
fof(f994,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f710,f711]) ).
fof(f710,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f44,f139]) ).
fof(f1062,plain,
( sF8 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f51,f711]) ).
fof(f1111,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_4
| spl11_10
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1110,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_4
| spl11_10
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f1108,f338]) ).
fof(f338,plain,
( sk_c7 != sF2
| spl11_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f1108,plain,
( sk_c7 = sF2
| ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f1107,f959]) ).
fof(f959,plain,
( sk_c7 != sF0
| ~ spl11_1
| spl11_2
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f83,f711]) ).
fof(f83,plain,
( sk_c6 != sF0
| spl11_2 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f1107,plain,
( sk_c7 = sF0
| sk_c7 = sF2
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f39,f711]) ).
fof(f39,plain,
( sk_c6 = sF0
| sk_c7 = sF2 ),
inference(definition_folding,[],[f17,f38,f35]) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_14) ).
fof(f1095,plain,
( ~ spl11_1
| ~ spl11_4
| spl11_11
| ~ spl11_12
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1094,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| spl11_11
| ~ spl11_12
| spl11_13 ),
inference(subsumption_resolution,[],[f1080,f791]) ).
fof(f1080,plain,
( sk_c7 = sF4
| ~ spl11_1
| ~ spl11_4
| spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f444,f711]) ).
fof(f444,plain,
( sk_c6 = sF4
| spl11_11 ),
inference(subsumption_resolution,[],[f67,f428]) ).
fof(f67,plain,
( sk_c5 = sF8
| sk_c6 = sF4 ),
inference(definition_folding,[],[f9,f42,f51]) ).
fof(f9,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_6) ).
fof(f1050,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| spl11_14 ),
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1049,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13
| spl11_14 ),
inference(subsumption_resolution,[],[f1048,f795]) ).
fof(f1048,plain,
( sk_c7 = sk_c5
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1014,f1030]) ).
fof(f1030,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f891,f1027]) ).
fof(f1027,plain,
( sk_c7 = sk_c1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1026,f994]) ).
fof(f1026,plain,
( sk_c1 = multiply(sk_c7,sk_c5)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1024,f1000]) ).
fof(f1000,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f303,f750]) ).
fof(f750,plain,
( sk_c7 = sk_c2
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f545,f747]) ).
fof(f747,plain,
( sk_c7 = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f572,f711]) ).
fof(f572,plain,
( sk_c6 = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f570,f245]) ).
fof(f245,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f168,f135]) ).
fof(f168,plain,
sk_c6 = multiply(inverse(sk_c7),sF6),
inference(superposition,[],[f113,f46]) ).
fof(f570,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c5)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f415,f558]) ).
fof(f558,plain,
( identity = sk_c5
| ~ spl11_1
| ~ spl11_12 ),
inference(superposition,[],[f557,f2]) ).
fof(f557,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_12 ),
inference(forward_demodulation,[],[f169,f440]) ).
fof(f169,plain,
sk_c5 = multiply(inverse(sk_c7),sF5),
inference(superposition,[],[f113,f44]) ).
fof(f1024,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c5)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_12 ),
inference(superposition,[],[f113,f1023]) ).
fof(f1023,plain,
( sk_c5 = multiply(sk_c7,sk_c1)
| ~ spl11_1
| ~ spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1022,f558]) ).
fof(f1022,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f97,f339]) ).
fof(f97,plain,
identity = multiply(sF2,sk_c1),
inference(superposition,[],[f2,f38]) ).
fof(f891,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f42,f792]) ).
fof(f1014,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f1012,f1000]) ).
fof(f1012,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(superposition,[],[f113,f994]) ).
fof(f988,plain,
( ~ spl11_1
| spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f987,plain,
( $false
| ~ spl11_1
| spl11_2
| spl11_3
| ~ spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f986,f959]) ).
fof(f986,plain,
( sk_c7 = sF0
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f708,f711]) ).
fof(f708,plain,
( sk_c6 = sF0
| spl11_3 ),
inference(subsumption_resolution,[],[f47,f136]) ).
fof(f47,plain,
( sk_c6 = sF0
| sk_c5 = sF6 ),
inference(definition_folding,[],[f7,f46,f35]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_4) ).
fof(f964,plain,
( ~ spl11_1
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f963]) ).
fof(f963,plain,
( $false
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f962,f921]) ).
fof(f921,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f717,f796]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl11_1
| ~ spl11_12 ),
inference(backward_demodulation,[],[f1,f558]) ).
fof(f962,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(trivial_inequality_removal,[],[f960]) ).
fof(f960,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14
| ~ spl11_15 ),
inference(superposition,[],[f862,f910]) ).
fof(f910,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f303,f838]) ).
fof(f838,plain,
( sk_c7 = sk_c2
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f837,f831]) ).
fof(f831,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c7
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f2,f802]) ).
fof(f802,plain,
( identity = sk_c7
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(backward_demodulation,[],[f558,f796]) ).
fof(f837,plain,
( sk_c2 = multiply(inverse(sk_c7),sk_c7)
| ~ spl11_1
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f299,f802]) ).
fof(f909,plain,
( spl11_14
| ~ spl11_3
| spl11_9
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f374,f337,f333,f134,f794]) ).
fof(f374,plain,
( sk_c7 = sk_c5
| ~ spl11_3
| spl11_9
| ~ spl11_10 ),
inference(backward_demodulation,[],[f312,f373]) ).
fof(f373,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| spl11_9
| ~ spl11_10 ),
inference(forward_demodulation,[],[f371,f344]) ).
fof(f344,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f38,f339]) ).
fof(f371,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| spl11_9 ),
inference(superposition,[],[f113,f370]) ).
fof(f370,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl11_9 ),
inference(backward_demodulation,[],[f42,f368]) ).
fof(f368,plain,
( sk_c6 = sF4
| spl11_9 ),
inference(subsumption_resolution,[],[f61,f334]) ).
fof(f61,plain,
( sk_c7 = sF7
| sk_c6 = sF4 ),
inference(definition_folding,[],[f10,f42,f48]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_7) ).
fof(f312,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl11_3 ),
inference(forward_demodulation,[],[f46,f135]) ).
fof(f893,plain,
( ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| spl11_10
| ~ spl11_12
| spl11_14 ),
inference(avatar_contradiction_clause,[],[f892]) ).
fof(f892,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| spl11_10
| ~ spl11_12
| spl11_14 ),
inference(subsumption_resolution,[],[f889,f795]) ).
fof(f889,plain,
( sk_c7 = sk_c5
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| spl11_10
| ~ spl11_12 ),
inference(forward_demodulation,[],[f762,f511]) ).
fof(f511,plain,
( sk_c7 = sF10
| spl11_10 ),
inference(subsumption_resolution,[],[f59,f338]) ).
fof(f59,plain,
( sk_c7 = sF2
| sk_c7 = sF10 ),
inference(definition_folding,[],[f16,f57,f38]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_13) ).
fof(f762,plain,
( sk_c5 = sF10
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f761,f748]) ).
fof(f748,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(backward_demodulation,[],[f735,f747]) ).
fof(f735,plain,
( sk_c5 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f734,f545]) ).
fof(f761,plain,
( sF10 = multiply(sk_c7,sk_c7)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f760,f747]) ).
fof(f863,plain,
( spl11_15
| spl11_15
| spl11_15
| spl11_15
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(avatar_split_clause,[],[f850,f794,f431,f427,f138,f134,f78,f861,f861,f861,f861]) ).
fof(f850,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f849,f796]) ).
fof(f849,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c5
| sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4) )
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f848,f799]) ).
fof(f799,plain,
( sk_c7 = sF6
| ~ spl11_3
| ~ spl11_14 ),
inference(backward_demodulation,[],[f135,f796]) ).
fof(f848,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f847,f711]) ).
fof(f847,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f846,f711]) ).
fof(f846,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f845,f711]) ).
fof(f845,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f844,f796]) ).
fof(f844,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12
| ~ spl11_14 ),
inference(forward_demodulation,[],[f843,f796]) ).
fof(f843,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f842,f711]) ).
fof(f842,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_4
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f745,f711]) ).
fof(f745,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != sk_c6
| sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_1
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f529,f440]) ).
fof(f529,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != sF5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f76,f429]) ).
fof(f429,plain,
( sk_c5 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f76,plain,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != sF8
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != sF5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 ),
inference(definition_folding,[],[f34,f46,f44,f51]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_31) ).
fof(f797,plain,
( spl11_13
| spl11_14
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f786,f431,f333,f138,f134,f78,f794,f790]) ).
fof(f786,plain,
( sk_c7 = sk_c5
| sk_c7 = sF4
| ~ spl11_1
| ~ spl11_3
| ~ spl11_4
| ~ spl11_9
| ~ spl11_12 ),
inference(forward_demodulation,[],[f785,f762]) ).
fof(f785,plain,
( sk_c7 = sF4
| sk_c7 = sF10
| ~ spl11_1
| ~ spl11_4
| ~ spl11_12 ),
inference(forward_demodulation,[],[f71,f711]) ).
fof(f71,plain,
( sk_c6 = sF4
| sk_c7 = sF10 ),
inference(definition_folding,[],[f11,f57,f42]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_8) ).
fof(f743,plain,
( ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f741,f136]) ).
fof(f741,plain,
( sk_c5 = sF6
| ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(forward_demodulation,[],[f740,f723]) ).
fof(f723,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(forward_demodulation,[],[f479,f707]) ).
fof(f707,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(subsumption_resolution,[],[f685,f136]) ).
fof(f685,plain,
( sk_c7 = sk_c6
| sk_c5 = sF6
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f73,f633]) ).
fof(f633,plain,
( sk_c7 = sF9
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f630,f487]) ).
fof(f487,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_11 ),
inference(superposition,[],[f113,f479]) ).
fof(f630,plain,
( sF9 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_2 ),
inference(superposition,[],[f113,f613]) ).
fof(f613,plain,
( sk_c5 = multiply(sk_c6,sF9)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f611,f602]) ).
fof(f602,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f35,f84]) ).
fof(f611,plain,
sk_c5 = multiply(inverse(sk_c4),sF9),
inference(superposition,[],[f113,f54]) ).
fof(f73,plain,
( sk_c6 = sF9
| sk_c5 = sF6 ),
inference(definition_folding,[],[f8,f46,f54]) ).
fof(f8,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_5) ).
fof(f479,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f51,f429]) ).
fof(f740,plain,
( sF6 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| spl11_3
| ~ spl11_11 ),
inference(forward_demodulation,[],[f46,f707]) ).
fof(f683,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(subsumption_resolution,[],[f681,f670]) ).
fof(f670,plain,
( sk_c7 != sk_c5
| ~ spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f432,f668]) ).
fof(f668,plain,
( sk_c7 = sF3
| ~ spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f655,f665]) ).
fof(f665,plain,
( sk_c7 = sF10
| spl11_12 ),
inference(subsumption_resolution,[],[f66,f432]) ).
fof(f66,plain,
( sk_c5 = sF3
| sk_c7 = sF10 ),
inference(definition_folding,[],[f26,f57,f40]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_23) ).
fof(f655,plain,
( sF3 = sF10
| ~ spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f596,f644]) ).
fof(f644,plain,
( sF10 = multiply(sk_c3,sk_c7)
| ~ spl11_2
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f57,f643]) ).
fof(f643,plain,
( sk_c7 = sk_c6
| ~ spl11_2
| ~ spl11_11
| spl11_12 ),
inference(forward_demodulation,[],[f642,f633]) ).
fof(f642,plain,
( sk_c6 = sF9
| spl11_12 ),
inference(subsumption_resolution,[],[f65,f432]) ).
fof(f65,plain,
( sk_c5 = sF3
| sk_c6 = sF9 ),
inference(definition_folding,[],[f28,f54,f40]) ).
fof(f28,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_25) ).
fof(f596,plain,
( sF3 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| ~ spl11_9 ),
inference(forward_demodulation,[],[f40,f545]) ).
fof(f432,plain,
( sk_c5 != sF3
| spl11_12 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f681,plain,
( sk_c7 = sk_c5
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(forward_demodulation,[],[f651,f666]) ).
fof(f666,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f650,f665]) ).
fof(f650,plain,
( sk_c7 = multiply(sk_c7,sF10)
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f397,f643]) ).
fof(f397,plain,
( sk_c6 = multiply(sk_c7,sF10)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f322,f335]) ).
fof(f322,plain,
sk_c6 = multiply(sF7,sF10),
inference(forward_demodulation,[],[f320,f48]) ).
fof(f320,plain,
sk_c6 = multiply(inverse(sk_c3),sF10),
inference(superposition,[],[f113,f57]) ).
fof(f651,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl11_2
| ~ spl11_11
| spl11_12 ),
inference(backward_demodulation,[],[f479,f643]) ).
fof(f598,plain,
( spl11_2
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| spl11_2
| spl11_12 ),
inference(subsumption_resolution,[],[f593,f432]) ).
fof(f593,plain,
( sk_c5 = sF3
| spl11_2 ),
inference(subsumption_resolution,[],[f41,f83]) ).
fof(f41,plain,
( sk_c6 = sF0
| sk_c5 = sF3 ),
inference(definition_folding,[],[f27,f40,f35]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_24) ).
fof(f592,plain,
( ~ spl11_1
| spl11_2
| spl11_4
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f591]) ).
fof(f591,plain,
( $false
| ~ spl11_1
| spl11_2
| spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f590,f83]) ).
fof(f590,plain,
( sk_c6 = sF0
| ~ spl11_1
| spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f589,f443]) ).
fof(f443,plain,
( sk_c7 != sk_c6
| ~ spl11_1
| spl11_4
| ~ spl11_12 ),
inference(backward_demodulation,[],[f140,f440]) ).
fof(f140,plain,
( sk_c6 != sF5
| spl11_4 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f589,plain,
( sk_c7 = sk_c6
| sk_c6 = sF0
| ~ spl11_1
| ~ spl11_12 ),
inference(forward_demodulation,[],[f45,f440]) ).
fof(f45,plain,
( sk_c6 = sF0
| sk_c6 = sF5 ),
inference(definition_folding,[],[f22,f44,f35]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_19) ).
fof(f588,plain,
( ~ spl11_1
| ~ spl11_2
| spl11_4
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| spl11_4
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f586,f443]) ).
fof(f586,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| ~ spl11_2
| spl11_4
| ~ spl11_11
| ~ spl11_12 ),
inference(backward_demodulation,[],[f581,f583]) ).
fof(f583,plain,
( sk_c7 = sF9
| ~ spl11_1
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f582,f435]) ).
fof(f582,plain,
( multiply(sk_c7,sk_c5) = sF9
| ~ spl11_1
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f54,f571]) ).
fof(f571,plain,
( sk_c7 = sk_c4
| ~ spl11_1
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12 ),
inference(forward_demodulation,[],[f568,f487]) ).
fof(f568,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c5)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_12 ),
inference(backward_demodulation,[],[f174,f558]) ).
fof(f581,plain,
( sk_c6 = sF9
| ~ spl11_1
| spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f580,f443]) ).
fof(f580,plain,
( sk_c7 = sk_c6
| sk_c6 = sF9
| ~ spl11_1
| ~ spl11_12 ),
inference(forward_demodulation,[],[f72,f440]) ).
fof(f72,plain,
( sk_c6 = sF9
| sk_c6 = sF5 ),
inference(definition_folding,[],[f23,f44,f54]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_20) ).
fof(f478,plain,
( ~ spl11_1
| spl11_4
| spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl11_1
| spl11_4
| spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f474,f428]) ).
fof(f474,plain,
( sk_c5 = sF8
| ~ spl11_1
| spl11_4
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f473,f443]) ).
fof(f473,plain,
( sk_c7 = sk_c6
| sk_c5 = sF8
| ~ spl11_1
| ~ spl11_12 ),
inference(forward_demodulation,[],[f68,f440]) ).
fof(f68,plain,
( sk_c5 = sF8
| sk_c6 = sF5 ),
inference(definition_folding,[],[f19,f44,f51]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_16) ).
fof(f434,plain,
( spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f64,f431,f427]) ).
fof(f64,plain,
( sk_c5 = sF3
| sk_c5 = sF8 ),
inference(definition_folding,[],[f24,f51,f40]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c2,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_21) ).
fof(f396,plain,
( ~ spl11_1
| spl11_4
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| ~ spl11_1
| spl11_4
| spl11_9 ),
inference(subsumption_resolution,[],[f394,f367]) ).
fof(f367,plain,
( sk_c7 != sk_c6
| ~ spl11_1
| spl11_4
| spl11_9 ),
inference(backward_demodulation,[],[f140,f364]) ).
fof(f364,plain,
( sk_c7 = sF5
| ~ spl11_1
| spl11_9 ),
inference(backward_demodulation,[],[f44,f363]) ).
fof(f363,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl11_1
| spl11_9 ),
inference(forward_demodulation,[],[f361,f303]) ).
fof(f361,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c5)
| spl11_9 ),
inference(superposition,[],[f113,f360]) ).
fof(f360,plain,
( sk_c5 = multiply(sk_c2,sk_c7)
| spl11_9 ),
inference(backward_demodulation,[],[f40,f358]) ).
fof(f394,plain,
( sk_c7 = sk_c6
| ~ spl11_1
| spl11_9 ),
inference(forward_demodulation,[],[f393,f364]) ).
fof(f393,plain,
( sk_c6 = sF5
| spl11_9 ),
inference(subsumption_resolution,[],[f62,f334]) ).
fof(f62,plain,
( sk_c7 = sF7
| sk_c6 = sF5 ),
inference(definition_folding,[],[f20,f44,f48]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_17) ).
fof(f340,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f50,f337,f333]) ).
fof(f50,plain,
( sk_c7 = sF2
| sk_c7 = sF7 ),
inference(definition_folding,[],[f15,f48,f38]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_12) ).
fof(f298,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_3
| spl11_4 ),
inference(avatar_contradiction_clause,[],[f297]) ).
fof(f297,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_3
| spl11_4 ),
inference(subsumption_resolution,[],[f294,f277]) ).
fof(f277,plain,
( sk_c7 != sF5
| spl11_1
| ~ spl11_2
| ~ spl11_3
| spl11_4 ),
inference(backward_demodulation,[],[f140,f268]) ).
fof(f244,plain,
( spl11_1
| spl11_3 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl11_1
| spl11_3 ),
inference(subsumption_resolution,[],[f239,f136]) ).
fof(f239,plain,
( sk_c5 = sF6
| spl11_1 ),
inference(backward_demodulation,[],[f46,f235]) ).
fof(f235,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl11_1 ),
inference(superposition,[],[f114,f230]) ).
fof(f153,plain,
( ~ spl11_3
| ~ spl11_4
| spl11_5
| spl11_6
| spl11_7
| spl11_8
| spl11_1 ),
inference(avatar_split_clause,[],[f124,f78,f151,f148,f145,f142,f138,f134]) ).
fof(f124,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != inverse(X6)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(X4,sk_c7)
| sk_c6 != sF5
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c6)
| sk_c5 != sF6 )
| spl11_1 ),
inference(subsumption_resolution,[],[f76,f89]) ).
fof(f85,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f37,f82,f78]) ).
fof(f37,plain,
( sk_c6 = sF0
| sk_c7 = sF1 ),
inference(definition_folding,[],[f32,f36,f35]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603',prove_this_29) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP295-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.12 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 28 20:24:08 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.32 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603
% 0.17/0.33 % (24712)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.36 % (24714)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)
% 0.17/0.38 % (24713)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)
% 0.17/0.39 % (24718)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.17/0.39 % (24716)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)
% 0.17/0.39 % (24715)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)
% 0.17/0.39 % (24717)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)
% 0.17/0.39 % (24719)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)
% 0.17/0.42 % (24718)First to succeed.
% 0.17/0.42 % (24718)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.43 % (24718)------------------------------
% 0.17/0.43 % (24718)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.43 % (24718)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.43 % (24718)Termination reason: Refutation
% 0.17/0.43
% 0.17/0.43 % (24718)Memory used [KB]: 5884
% 0.17/0.43 % (24718)Time elapsed: 0.039 s
% 0.17/0.43 % (24718)------------------------------
% 0.17/0.43 % (24718)------------------------------
% 0.17/0.43 % (24712)Success in time 0.1 s
% 0.17/0.43 24713 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.6hBdt1oan9/Vampire---4.8_24603
% 0.17/0.43 % (24713)------------------------------
% 0.17/0.43 % (24713)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.43 % (24713)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.43 % (24713)Termination reason: Unknown
% 0.17/0.43 % (24713)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (24713)Memory used [KB]: 5500
% 0.17/0.43 % (24713)Time elapsed: 0.046 s
% 0.17/0.43 % (24713)------------------------------
% 0.17/0.43 % (24713)------------------------------
% 0.17/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------