TSTP Solution File: GRP231-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP231-1 : 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 : n015.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 01:22:48 EDT 2023
% Result : Unsatisfiable 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 53
% Syntax : Number of formulae : 373 ( 22 unt; 0 def)
% Number of atoms : 1166 ( 427 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1462 ( 669 ~; 780 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1928,plain,
$false,
inference(avatar_sat_refutation,[],[f87,f99,f161,f169,f231,f355,f373,f468,f577,f594,f604,f691,f703,f719,f735,f785,f791,f934,f943,f1120,f1201,f1255,f1381,f1397,f1422,f1442,f1477,f1490,f1572,f1629,f1740,f1899,f1906,f1907,f1924,f1927]) ).
fof(f1927,plain,
( spl11_2
| spl11_8 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1926,plain,
( $false
| spl11_2
| spl11_8 ),
inference(subsumption_resolution,[],[f1925,f225]) ).
fof(f225,plain,
( sk_c6 != sF3
| spl11_8 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f224,plain,
( spl11_8
<=> sk_c6 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).
fof(f1925,plain,
( sk_c6 = sF3
| spl11_2 ),
inference(subsumption_resolution,[],[f43,f85]) ).
fof(f85,plain,
( sk_c2 != sF0
| spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl11_2
<=> sk_c2 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f43,plain,
( sk_c2 = sF0
| sk_c6 = sF3 ),
inference(definition_folding,[],[f17,f42,f37]) ).
fof(f37,plain,
inverse(sk_c1) = sF0,
introduced(function_definition,[]) ).
fof(f42,plain,
multiply(sk_c5,sk_c8) = sF3,
introduced(function_definition,[]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_14) ).
fof(f1924,plain,
( ~ spl11_1
| spl11_2
| ~ spl11_8
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl11_1
| spl11_2
| ~ spl11_8
| spl11_13 ),
inference(subsumption_resolution,[],[f1922,f551]) ).
fof(f551,plain,
( sk_c8 != sk_c7
| spl11_13 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl11_13
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f1922,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| spl11_2
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1573,f377]) ).
fof(f377,plain,
( sk_c8 = sF4
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f44,f327]) ).
fof(f327,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_1
| ~ spl11_8 ),
inference(superposition,[],[f219,f232]) ).
fof(f232,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f42,f226]) ).
fof(f226,plain,
( sk_c6 = sF3
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f219,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl11_1 ),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',left_identity) ).
fof(f218,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl11_1 ),
inference(superposition,[],[f3,f206]) ).
fof(f206,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f109,f82]) ).
fof(f82,plain,
( sk_c8 = sF1
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl11_1
<=> sk_c8 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f109,plain,
identity = multiply(sF1,sk_c5),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
inverse(sk_c5) = sF1,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',associativity) ).
fof(f44,plain,
multiply(sk_c8,sk_c6) = sF4,
introduced(function_definition,[]) ).
fof(f1573,plain,
( sk_c7 = sF4
| spl11_2 ),
inference(subsumption_resolution,[],[f45,f85]) ).
fof(f45,plain,
( sk_c2 = sF0
| sk_c7 = sF4 ),
inference(definition_folding,[],[f16,f44,f37]) ).
fof(f16,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_13) ).
fof(f1907,plain,
( spl11_9
| spl11_1 ),
inference(avatar_split_clause,[],[f89,f80,f228]) ).
fof(f228,plain,
( spl11_9
<=> sk_c8 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).
fof(f89,plain,
( sk_c8 = sF6
| spl11_1 ),
inference(subsumption_resolution,[],[f49,f81]) ).
fof(f81,plain,
( sk_c8 != sF1
| spl11_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f49,plain,
( sk_c8 = sF6
| sk_c8 = sF1 ),
inference(definition_folding,[],[f28,f38,f48]) ).
fof(f48,plain,
inverse(sk_c3) = sF6,
introduced(function_definition,[]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_25) ).
fof(f1906,plain,
( spl11_9
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| spl11_9
| spl11_10 ),
inference(subsumption_resolution,[],[f237,f462]) ).
fof(f462,plain,
( sk_c8 != sF5
| spl11_10 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl11_10
<=> sk_c8 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f237,plain,
( sk_c8 = sF5
| spl11_9 ),
inference(subsumption_resolution,[],[f53,f229]) ).
fof(f229,plain,
( sk_c8 != sF6
| spl11_9 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f53,plain,
( sk_c8 = sF6
| sk_c8 = sF5 ),
inference(definition_folding,[],[f25,f46,f48]) ).
fof(f46,plain,
multiply(sk_c4,sk_c7) = sF5,
introduced(function_definition,[]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_22) ).
fof(f1899,plain,
( spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1898,plain,
( $false
| spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(subsumption_resolution,[],[f1897,f551]) ).
fof(f1897,plain,
( sk_c8 = sk_c7
| spl11_1
| ~ spl11_2
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1896,f1844]) ).
fof(f1844,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_2
| ~ spl11_11 ),
inference(backward_demodulation,[],[f1,f1839]) ).
fof(f1839,plain,
( identity = sk_c8
| ~ spl11_2
| ~ spl11_11 ),
inference(superposition,[],[f1780,f2]) ).
fof(f1780,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_2
| ~ spl11_11 ),
inference(superposition,[],[f127,f1752]) ).
fof(f1752,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1750,f1615]) ).
fof(f1615,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f37,f86]) ).
fof(f86,plain,
( sk_c2 = sF0
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f1750,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl11_11 ),
inference(superposition,[],[f127,f1652]) ).
fof(f1652,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_11 ),
inference(forward_demodulation,[],[f57,f467]) ).
fof(f467,plain,
( sk_c8 = sF8
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl11_11
<=> sk_c8 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f57,plain,
multiply(sk_c1,sk_c2) = sF8,
introduced(function_definition,[]) ).
fof(f127,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f1896,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl11_1
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1894,f1455]) ).
fof(f1455,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f48,f230]) ).
fof(f230,plain,
( sk_c8 = sF6
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f1894,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| spl11_1 ),
inference(superposition,[],[f127,f1893]) ).
fof(f1893,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl11_1 ),
inference(forward_demodulation,[],[f60,f164]) ).
fof(f164,plain,
( sk_c8 = sF9
| spl11_1 ),
inference(subsumption_resolution,[],[f62,f81]) ).
fof(f62,plain,
( sk_c8 = sF1
| sk_c8 = sF9 ),
inference(definition_folding,[],[f33,f60,f38]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_30) ).
fof(f60,plain,
multiply(sk_c3,sk_c7) = sF9,
introduced(function_definition,[]) ).
fof(f1740,plain,
( ~ spl11_2
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1739]) ).
fof(f1739,plain,
( $false
| ~ spl11_2
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1738,f1631]) ).
fof(f1631,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1463,f1125]) ).
fof(f1125,plain,
( sk_c8 = sk_c2
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f676,f548]) ).
fof(f548,plain,
( sk_c8 = sF10
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f546,plain,
( spl11_12
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).
fof(f676,plain,
( sk_c2 = sF10
| ~ spl11_2
| ~ spl11_11
| ~ spl11_13 ),
inference(backward_demodulation,[],[f668,f669]) ).
fof(f669,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl11_2
| ~ spl11_11 ),
inference(backward_demodulation,[],[f214,f467]) ).
fof(f214,plain,
( sk_c2 = multiply(sk_c2,sF8)
| ~ spl11_2 ),
inference(superposition,[],[f130,f57]) ).
fof(f130,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c1,X15)) = X15
| ~ spl11_2 ),
inference(forward_demodulation,[],[f122,f1]) ).
fof(f122,plain,
( ! [X15] : multiply(sk_c2,multiply(sk_c1,X15)) = multiply(identity,X15)
| ~ spl11_2 ),
inference(superposition,[],[f3,f110]) ).
fof(f110,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl11_2 ),
inference(superposition,[],[f2,f88]) ).
fof(f88,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl11_2 ),
inference(backward_demodulation,[],[f37,f86]) ).
fof(f668,plain,
( sF10 = multiply(sk_c2,sk_c8)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f63,f552]) ).
fof(f552,plain,
( sk_c8 = sk_c7
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f63,plain,
multiply(sk_c2,sk_c7) = sF10,
introduced(function_definition,[]) ).
fof(f1463,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1259,f548]) ).
fof(f1259,plain,
( sF10 = multiply(sk_c2,sk_c8)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f63,f552]) ).
fof(f1738,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1733,f1653]) ).
fof(f1653,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1652,f1125]) ).
fof(f1733,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl11_2
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(trivial_inequality_removal,[],[f1732]) ).
fof(f1732,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c1,sk_c8))
| ~ spl11_2
| ~ spl11_7
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(superposition,[],[f1128,f1634]) ).
fof(f1634,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1615,f1125]) ).
fof(f1128,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c8 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl11_7
| ~ spl11_13 ),
inference(backward_demodulation,[],[f160,f552]) ).
fof(f160,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl11_7
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1629,plain,
( spl11_11
| spl11_1 ),
inference(avatar_split_clause,[],[f165,f80,f465]) ).
fof(f165,plain,
( sk_c8 = sF8
| spl11_1 ),
inference(subsumption_resolution,[],[f59,f81]) ).
fof(f59,plain,
( sk_c8 = sF1
| sk_c8 = sF8 ),
inference(definition_folding,[],[f13,f57,f38]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_10) ).
fof(f1572,plain,
( ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1571,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_5
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f724,f1558]) ).
fof(f1558,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1285,f1443]) ).
fof(f1443,plain,
( sk_c8 = sk_c6
| ~ spl11_1
| spl11_4
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1313,f103]) ).
fof(f103,plain,
( sk_c8 = sF9
| spl11_4 ),
inference(subsumption_resolution,[],[f61,f97]) ).
fof(f97,plain,
( sk_c8 != sF2
| spl11_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl11_4
<=> sk_c8 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f61,plain,
( sk_c8 = sF2
| sk_c8 = sF9 ),
inference(definition_folding,[],[f29,f60,f40]) ).
fof(f40,plain,
inverse(sk_c4) = sF2,
introduced(function_definition,[]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_26) ).
fof(f1313,plain,
( sk_c6 = sF9
| ~ spl11_1
| ~ spl11_8
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1310,f1268]) ).
fof(f1268,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl11_8 ),
inference(backward_demodulation,[],[f42,f226]) ).
fof(f1310,plain,
( multiply(sk_c5,sk_c8) = sF9
| ~ spl11_1
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1257,f1309]) ).
fof(f1309,plain,
( sk_c5 = sk_c3
| ~ spl11_1
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1247,f1238]) ).
fof(f1238,plain,
( sk_c5 = multiply(sF7,identity)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f1236,f54]) ).
fof(f54,plain,
inverse(sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f1236,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_1 ),
inference(superposition,[],[f127,f206]) ).
fof(f1247,plain,
( sk_c3 = multiply(sF7,identity)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1245,f54]) ).
fof(f1245,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_9 ),
inference(superposition,[],[f127,f976]) ).
fof(f976,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f212,f230]) ).
fof(f212,plain,
identity = multiply(sF6,sk_c3),
inference(superposition,[],[f2,f48]) ).
fof(f1257,plain,
( sF9 = multiply(sk_c3,sk_c8)
| ~ spl11_13 ),
inference(forward_demodulation,[],[f60,f552]) ).
fof(f1285,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f44,f377]) ).
fof(f724,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_13 ),
inference(duplicate_literal_removal,[],[f723]) ).
fof(f723,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_13 ),
inference(forward_demodulation,[],[f722,f552]) ).
fof(f722,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_5
| ~ spl11_13 ),
inference(forward_demodulation,[],[f411,f552]) ).
fof(f411,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != multiply(sk_c7,sk_c7)
| ~ spl11_3
| ~ spl11_5 ),
inference(forward_demodulation,[],[f405,f379]) ).
fof(f379,plain,
( inverse(sk_c8) = sk_c7
| ~ spl11_3 ),
inference(backward_demodulation,[],[f54,f94]) ).
fof(f94,plain,
( sk_c7 = sF7
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl11_3
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f405,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c8 != multiply(sk_c8,inverse(sk_c8))
| ~ spl11_3
| ~ spl11_5 ),
inference(superposition,[],[f154,f379]) ).
fof(f154,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f153,plain,
( spl11_5
<=> ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f1490,plain,
( spl11_2
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1489,plain,
( $false
| spl11_2
| spl11_10 ),
inference(subsumption_resolution,[],[f1479,f462]) ).
fof(f1479,plain,
( sk_c8 = sF5
| spl11_2 ),
inference(subsumption_resolution,[],[f47,f85]) ).
fof(f47,plain,
( sk_c2 = sF0
| sk_c8 = sF5 ),
inference(definition_folding,[],[f15,f46,f37]) ).
fof(f15,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_12) ).
fof(f1477,plain,
( ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1476,plain,
( $false
| ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_6
| ~ spl11_9
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1159,f1462]) ).
fof(f1462,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_3
| spl11_4
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1461,f103]) ).
fof(f1461,plain,
( sF9 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1257,f1164]) ).
fof(f1164,plain,
( sk_c8 = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1044,f1139]) ).
fof(f1139,plain,
( sk_c8 = sk_c5
| ~ spl11_1
| ~ spl11_3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1138,f1035]) ).
fof(f1035,plain,
( sk_c8 = multiply(sk_c8,sF3)
| ~ spl11_1 ),
inference(forward_demodulation,[],[f1021,f207]) ).
fof(f207,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl11_1 ),
inference(backward_demodulation,[],[f38,f82]) ).
fof(f1021,plain,
sk_c8 = multiply(inverse(sk_c5),sF3),
inference(superposition,[],[f127,f42]) ).
fof(f1138,plain,
( sk_c5 = multiply(sk_c8,sF3)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1071,f552]) ).
fof(f1071,plain,
( sk_c5 = multiply(sk_c7,sF3)
| ~ spl11_1
| ~ spl11_3 ),
inference(backward_demodulation,[],[f1032,f1063]) ).
fof(f1063,plain,
( identity = sF3
| ~ spl11_1
| ~ spl11_3 ),
inference(backward_demodulation,[],[f821,f1057]) ).
fof(f1057,plain,
( sF3 = multiply(sk_c7,sk_c8)
| ~ spl11_1
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1055,f795]) ).
fof(f795,plain,
( inverse(sk_c8) = sk_c7
| ~ spl11_3 ),
inference(forward_demodulation,[],[f54,f94]) ).
fof(f1055,plain,
( sF3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_1 ),
inference(superposition,[],[f127,f1035]) ).
fof(f821,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl11_3 ),
inference(forward_demodulation,[],[f303,f94]) ).
fof(f303,plain,
identity = multiply(sF7,sk_c8),
inference(superposition,[],[f2,f54]) ).
fof(f1032,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl11_1
| ~ spl11_3 ),
inference(forward_demodulation,[],[f1017,f795]) ).
fof(f1017,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl11_1 ),
inference(superposition,[],[f127,f206]) ).
fof(f1044,plain,
( sk_c5 = sk_c3
| ~ spl11_1
| ~ spl11_3
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1033,f1032]) ).
fof(f1033,plain,
( sk_c3 = multiply(sk_c7,identity)
| ~ spl11_3
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1018,f795]) ).
fof(f1018,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl11_9 ),
inference(superposition,[],[f127,f976]) ).
fof(f1159,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1158,f552]) ).
fof(f1158,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl11_3
| ~ spl11_6
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f780,f552]) ).
fof(f780,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl11_3
| ~ spl11_6 ),
inference(superposition,[],[f157,f738]) ).
fof(f738,plain,
( inverse(sk_c8) = sk_c7
| ~ spl11_3 ),
inference(backward_demodulation,[],[f54,f94]) ).
fof(f157,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl11_6 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl11_6
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).
fof(f1442,plain,
( spl11_12
| spl11_4 ),
inference(avatar_split_clause,[],[f105,f96,f546]) ).
fof(f105,plain,
( sk_c8 = sF10
| spl11_4 ),
inference(subsumption_resolution,[],[f64,f97]) ).
fof(f64,plain,
( sk_c8 = sF2
| sk_c8 = sF10 ),
inference(definition_folding,[],[f19,f63,f40]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_16) ).
fof(f1422,plain,
( ~ spl11_4
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl11_4
| ~ spl11_7
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f827,f552]) ).
fof(f827,plain,
( sk_c8 != sk_c7
| ~ spl11_4
| ~ spl11_7 ),
inference(forward_demodulation,[],[f826,f440]) ).
fof(f440,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl11_4 ),
inference(forward_demodulation,[],[f439,f1]) ).
fof(f439,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl11_4 ),
inference(superposition,[],[f3,f423]) ).
fof(f423,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f108,f98]) ).
fof(f98,plain,
( sk_c8 = sF2
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f108,plain,
identity = multiply(sF2,sk_c4),
inference(superposition,[],[f2,f40]) ).
fof(f826,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl11_4
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f824]) ).
fof(f824,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl11_4
| ~ spl11_7 ),
inference(superposition,[],[f160,f424]) ).
fof(f424,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f40,f98]) ).
fof(f1397,plain,
( ~ spl11_1
| ~ spl11_7
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1396,plain,
( $false
| ~ spl11_1
| ~ spl11_7
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1054,f552]) ).
fof(f1054,plain,
( sk_c8 != sk_c7
| ~ spl11_1
| ~ spl11_7 ),
inference(backward_demodulation,[],[f998,f1035]) ).
fof(f998,plain,
( sk_c7 != multiply(sk_c8,sF3)
| ~ spl11_1
| ~ spl11_7 ),
inference(forward_demodulation,[],[f921,f42]) ).
fof(f921,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl11_1
| ~ spl11_7 ),
inference(trivial_inequality_removal,[],[f920]) ).
fof(f920,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl11_1
| ~ spl11_7 ),
inference(superposition,[],[f160,f207]) ).
fof(f1381,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1378,f664]) ).
fof(f664,plain,
( sk_c8 != sF7
| spl11_3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f93,f552]) ).
fof(f93,plain,
( sk_c7 != sF7
| spl11_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f1378,plain,
( sk_c8 = sF7
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(backward_demodulation,[],[f54,f1376]) ).
fof(f1376,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1271,f1367]) ).
fof(f1367,plain,
( sk_c8 = sk_c4
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f1359,f1357]) ).
fof(f1357,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1318,f1351]) ).
fof(f1351,plain,
( sk_c8 = sk_c6
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1349,f1217]) ).
fof(f1217,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl11_10
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1126,f463]) ).
fof(f463,plain,
( sk_c8 = sF5
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f1126,plain,
( sF5 = multiply(sk_c4,sk_c8)
| ~ spl11_13 ),
inference(backward_demodulation,[],[f46,f552]) ).
fof(f1349,plain,
( sk_c6 = multiply(sk_c4,sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1268,f1343]) ).
fof(f1343,plain,
( sk_c4 = sk_c5
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1321,f1334]) ).
fof(f1334,plain,
( sk_c4 = multiply(sF7,sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1332,f54]) ).
fof(f1332,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c6)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(superposition,[],[f127,f1322]) ).
fof(f1322,plain,
( sk_c6 = multiply(sk_c8,sk_c4)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1292,f1315]) ).
fof(f1315,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_8 ),
inference(backward_demodulation,[],[f303,f1288]) ).
fof(f1288,plain,
( sk_c6 = multiply(sF7,sk_c8)
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1286,f54]) ).
fof(f1286,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl11_1
| ~ spl11_8 ),
inference(superposition,[],[f127,f1285]) ).
fof(f1292,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f108,f98]) ).
fof(f1321,plain,
( sk_c5 = multiply(sF7,sk_c6)
| ~ spl11_1
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1238,f1315]) ).
fof(f1318,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_1
| ~ spl11_8 ),
inference(backward_demodulation,[],[f1,f1315]) ).
fof(f1359,plain,
( sk_c8 = multiply(sk_c8,sk_c4)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| ~ spl11_10
| ~ spl11_13 ),
inference(backward_demodulation,[],[f1322,f1351]) ).
fof(f1271,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_4 ),
inference(forward_demodulation,[],[f40,f98]) ).
fof(f1255,plain,
( spl11_3
| spl11_8
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1254]) ).
fof(f1254,plain,
( $false
| spl11_3
| spl11_8
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1253,f225]) ).
fof(f1253,plain,
( sk_c6 = sF3
| spl11_3
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1208,f664]) ).
fof(f1208,plain,
( sk_c8 = sF7
| sk_c6 = sF3
| ~ spl11_13 ),
inference(forward_demodulation,[],[f66,f552]) ).
fof(f66,plain,
( sk_c7 = sF7
| sk_c6 = sF3 ),
inference(definition_folding,[],[f7,f42,f54]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_4) ).
fof(f1201,plain,
( ~ spl11_2
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl11_2
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f1157,f1144]) ).
fof(f1144,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl11_2
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(backward_demodulation,[],[f670,f1125]) ).
fof(f670,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f57,f467]) ).
fof(f1157,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(forward_demodulation,[],[f1156,f552]) ).
fof(f1156,plain,
( sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl11_2
| ~ spl11_6
| ~ spl11_11
| ~ spl11_12
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f782,f1125]) ).
fof(f782,plain,
( sk_c8 != sk_c2
| sk_c8 != multiply(sk_c1,sk_c7)
| ~ spl11_2
| ~ spl11_6 ),
inference(superposition,[],[f157,f88]) ).
fof(f1120,plain,
( ~ spl11_2
| spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1119,plain,
( $false
| ~ spl11_2
| spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(subsumption_resolution,[],[f1118,f551]) ).
fof(f1118,plain,
( sk_c8 = sk_c7
| ~ spl11_2
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1117,f670]) ).
fof(f1117,plain,
( sk_c7 = multiply(sk_c1,sk_c2)
| ~ spl11_2
| spl11_8
| ~ spl11_9
| ~ spl11_11 ),
inference(forward_demodulation,[],[f1111,f1037]) ).
fof(f1037,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| spl11_8
| ~ spl11_9 ),
inference(forward_demodulation,[],[f1027,f952]) ).
fof(f952,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_9 ),
inference(forward_demodulation,[],[f48,f230]) ).
fof(f1027,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| spl11_8 ),
inference(superposition,[],[f127,f977]) ).
fof(f977,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| spl11_8 ),
inference(forward_demodulation,[],[f60,f972]) ).
fof(f972,plain,
( sk_c8 = sF9
| spl11_8 ),
inference(subsumption_resolution,[],[f70,f225]) ).
fof(f70,plain,
( sk_c6 = sF3
| sk_c8 = sF9 ),
inference(definition_folding,[],[f32,f60,f42]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_29) ).
fof(f1111,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl11_2
| ~ spl11_11 ),
inference(superposition,[],[f675,f669]) ).
fof(f675,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl11_11 ),
inference(superposition,[],[f3,f670]) ).
fof(f943,plain,
( ~ spl11_1
| ~ spl11_8
| spl11_9
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f942]) ).
fof(f942,plain,
( $false
| ~ spl11_1
| ~ spl11_8
| spl11_9
| spl11_13 ),
inference(subsumption_resolution,[],[f941,f551]) ).
fof(f941,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| ~ spl11_8
| spl11_9 ),
inference(forward_demodulation,[],[f234,f377]) ).
fof(f234,plain,
( sk_c7 = sF4
| spl11_9 ),
inference(subsumption_resolution,[],[f52,f229]) ).
fof(f52,plain,
( sk_c8 = sF6
| sk_c7 = sF4 ),
inference(definition_folding,[],[f26,f44,f48]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_23) ).
fof(f934,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f933,plain,
( $false
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(subsumption_resolution,[],[f932,f551]) ).
fof(f932,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_9
| ~ spl11_11
| spl11_13 ),
inference(forward_demodulation,[],[f931,f894]) ).
fof(f894,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_11 ),
inference(backward_demodulation,[],[f756,f887]) ).
fof(f887,plain,
( sk_c8 = sk_c6
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f861,f806]) ).
fof(f806,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(forward_demodulation,[],[f2,f451]) ).
fof(f451,plain,
( identity = sk_c6
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(backward_demodulation,[],[f378,f398]) ).
fof(f398,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(superposition,[],[f391,f327]) ).
fof(f391,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl11_3 ),
inference(forward_demodulation,[],[f390,f1]) ).
fof(f390,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl11_3 ),
inference(superposition,[],[f3,f378]) ).
fof(f378,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl11_3 ),
inference(backward_demodulation,[],[f303,f94]) ).
fof(f861,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl11_1
| ~ spl11_2
| ~ spl11_3
| ~ spl11_8
| ~ spl11_11 ),
inference(superposition,[],[f818,f669]) ).
fof(f818,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(forward_demodulation,[],[f817,f799]) ).
fof(f799,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(forward_demodulation,[],[f1,f451]) ).
fof(f817,plain,
( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(sk_c6,X1)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8 ),
inference(superposition,[],[f3,f806]) ).
fof(f756,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f44,f377]) ).
fof(f931,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| ~ spl11_9
| spl11_13 ),
inference(forward_demodulation,[],[f929,f381]) ).
fof(f381,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl11_9 ),
inference(backward_demodulation,[],[f48,f230]) ).
fof(f929,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl11_1
| ~ spl11_3
| ~ spl11_8
| spl11_13 ),
inference(superposition,[],[f818,f801]) ).
fof(f801,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl11_1
| ~ spl11_8
| spl11_13 ),
inference(forward_demodulation,[],[f60,f787]) ).
fof(f787,plain,
( sk_c8 = sF9
| ~ spl11_1
| ~ spl11_8
| spl11_13 ),
inference(subsumption_resolution,[],[f786,f551]) ).
fof(f786,plain,
( sk_c8 = sk_c7
| sk_c8 = sF9
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f73,f377]) ).
fof(f73,plain,
( sk_c7 = sF4
| sk_c8 = sF9 ),
inference(definition_folding,[],[f31,f60,f44]) ).
fof(f31,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_28) ).
fof(f791,plain,
( ~ spl11_1
| spl11_3
| ~ spl11_8
| spl11_13 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl11_1
| spl11_3
| ~ spl11_8
| spl11_13 ),
inference(subsumption_resolution,[],[f789,f93]) ).
fof(f789,plain,
( sk_c7 = sF7
| ~ spl11_1
| ~ spl11_8
| spl11_13 ),
inference(subsumption_resolution,[],[f788,f551]) ).
fof(f788,plain,
( sk_c8 = sk_c7
| sk_c7 = sF7
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f67,f377]) ).
fof(f67,plain,
( sk_c7 = sF7
| sk_c7 = sF4 ),
inference(definition_folding,[],[f6,f44,f54]) ).
fof(f6,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_3) ).
fof(f785,plain,
( ~ spl11_4
| ~ spl11_6
| ~ spl11_10 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl11_4
| ~ spl11_6
| ~ spl11_10 ),
inference(subsumption_resolution,[],[f783,f758]) ).
fof(f758,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_10 ),
inference(forward_demodulation,[],[f46,f463]) ).
fof(f783,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl11_4
| ~ spl11_6 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f781,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl11_4
| ~ spl11_6 ),
inference(superposition,[],[f157,f424]) ).
fof(f735,plain,
( spl11_10
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f734,plain,
( $false
| spl11_10
| spl11_12 ),
inference(subsumption_resolution,[],[f705,f462]) ).
fof(f705,plain,
( sk_c8 = sF5
| spl11_12 ),
inference(subsumption_resolution,[],[f77,f547]) ).
fof(f547,plain,
( sk_c8 != sF10
| spl11_12 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f77,plain,
( sk_c8 = sF5
| sk_c8 = sF10 ),
inference(definition_folding,[],[f20,f63,f46]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_17) ).
fof(f719,plain,
( spl11_3
| spl11_10 ),
inference(avatar_contradiction_clause,[],[f718]) ).
fof(f718,plain,
( $false
| spl11_3
| spl11_10 ),
inference(subsumption_resolution,[],[f704,f462]) ).
fof(f704,plain,
( sk_c8 = sF5
| spl11_3 ),
inference(subsumption_resolution,[],[f68,f93]) ).
fof(f68,plain,
( sk_c7 = sF7
| sk_c8 = sF5 ),
inference(definition_folding,[],[f5,f46,f54]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_2) ).
fof(f703,plain,
( spl11_8
| spl11_12 ),
inference(avatar_contradiction_clause,[],[f702]) ).
fof(f702,plain,
( $false
| spl11_8
| spl11_12 ),
inference(subsumption_resolution,[],[f699,f225]) ).
fof(f699,plain,
( sk_c6 = sF3
| spl11_12 ),
inference(subsumption_resolution,[],[f71,f547]) ).
fof(f71,plain,
( sk_c6 = sF3
| sk_c8 = sF10 ),
inference(definition_folding,[],[f22,f63,f42]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_19) ).
fof(f691,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_13 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f689,f662]) ).
fof(f662,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f470,f552]) ).
fof(f470,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl11_10 ),
inference(backward_demodulation,[],[f46,f463]) ).
fof(f689,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_13 ),
inference(forward_demodulation,[],[f688,f424]) ).
fof(f688,plain,
( sk_c8 != multiply(sk_c4,inverse(sk_c4))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_10
| ~ spl11_13 ),
inference(subsumption_resolution,[],[f681,f671]) ).
fof(f671,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| ~ spl11_10
| ~ spl11_13 ),
inference(superposition,[],[f440,f662]) ).
fof(f681,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,inverse(sk_c4))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_13 ),
inference(superposition,[],[f663,f424]) ).
fof(f663,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c8)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_5
| ~ spl11_13 ),
inference(forward_demodulation,[],[f154,f552]) ).
fof(f604,plain,
( spl11_13
| ~ spl11_1
| ~ spl11_8
| spl11_11 ),
inference(avatar_split_clause,[],[f479,f465,f224,f80,f550]) ).
fof(f479,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| ~ spl11_8
| spl11_11 ),
inference(subsumption_resolution,[],[f420,f466]) ).
fof(f466,plain,
( sk_c8 != sF8
| spl11_11 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f420,plain,
( sk_c8 = sk_c7
| sk_c8 = sF8
| ~ spl11_1
| ~ spl11_8 ),
inference(forward_demodulation,[],[f72,f377]) ).
fof(f72,plain,
( sk_c7 = sF4
| sk_c8 = sF8 ),
inference(definition_folding,[],[f11,f57,f44]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_8) ).
fof(f594,plain,
( spl11_8
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f593,plain,
( $false
| spl11_8
| spl11_11 ),
inference(subsumption_resolution,[],[f592,f466]) ).
fof(f592,plain,
( sk_c8 = sF8
| spl11_8 ),
inference(subsumption_resolution,[],[f69,f225]) ).
fof(f69,plain,
( sk_c6 = sF3
| sk_c8 = sF8 ),
inference(definition_folding,[],[f12,f57,f42]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_9) ).
fof(f577,plain,
( ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl11_2
| ~ spl11_5
| ~ spl11_11
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f575,f530]) ).
fof(f530,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl11_11 ),
inference(backward_demodulation,[],[f57,f467]) ).
fof(f575,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12 ),
inference(forward_demodulation,[],[f574,f88]) ).
fof(f574,plain,
( sk_c8 != multiply(sk_c1,inverse(sk_c1))
| ~ spl11_2
| ~ spl11_5
| ~ spl11_12 ),
inference(subsumption_resolution,[],[f570,f554]) ).
fof(f554,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl11_12 ),
inference(backward_demodulation,[],[f63,f548]) ).
fof(f570,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c8 != multiply(sk_c1,inverse(sk_c1))
| ~ spl11_2
| ~ spl11_5 ),
inference(superposition,[],[f154,f88]) ).
fof(f468,plain,
( spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f75,f465,f461]) ).
fof(f75,plain,
( sk_c8 = sF8
| sk_c8 = sF5 ),
inference(definition_folding,[],[f10,f46,f57]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_7) ).
fof(f373,plain,
( spl11_4
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| spl11_4
| spl11_9 ),
inference(subsumption_resolution,[],[f363,f97]) ).
fof(f363,plain,
( sk_c8 = sF2
| spl11_9 ),
inference(subsumption_resolution,[],[f50,f229]) ).
fof(f50,plain,
( sk_c8 = sF6
| sk_c8 = sF2 ),
inference(definition_folding,[],[f24,f40,f48]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_21) ).
fof(f355,plain,
( ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(avatar_contradiction_clause,[],[f354]) ).
fof(f354,plain,
( $false
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(subsumption_resolution,[],[f353,f338]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl11_1
| ~ spl11_8
| spl11_9 ),
inference(backward_demodulation,[],[f239,f330]) ).
fof(f330,plain,
( sk_c8 = sk_c7
| ~ spl11_1
| ~ spl11_8
| spl11_9 ),
inference(backward_demodulation,[],[f235,f327]) ).
fof(f235,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| spl11_9 ),
inference(backward_demodulation,[],[f44,f234]) ).
fof(f239,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| spl11_9 ),
inference(backward_demodulation,[],[f46,f237]) ).
fof(f353,plain,
( sk_c8 != multiply(sk_c4,sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(forward_demodulation,[],[f352,f167]) ).
fof(f167,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f40,f98]) ).
fof(f352,plain,
( sk_c8 != multiply(sk_c4,inverse(sk_c4))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(subsumption_resolution,[],[f345,f337]) ).
fof(f337,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl11_1
| ~ spl11_4
| ~ spl11_8
| spl11_9 ),
inference(backward_demodulation,[],[f238,f330]) ).
fof(f238,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl11_4
| spl11_9 ),
inference(backward_demodulation,[],[f187,f237]) ).
fof(f187,plain,
( sk_c7 = multiply(sk_c8,sF5)
| ~ spl11_4 ),
inference(superposition,[],[f182,f46]) ).
fof(f182,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl11_4 ),
inference(forward_demodulation,[],[f181,f1]) ).
fof(f181,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl11_4 ),
inference(superposition,[],[f3,f166]) ).
fof(f166,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl11_4 ),
inference(backward_demodulation,[],[f108,f98]) ).
fof(f345,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c4,inverse(sk_c4))
| ~ spl11_1
| ~ spl11_4
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(superposition,[],[f335,f167]) ).
fof(f335,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c8)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_1
| ~ spl11_5
| ~ spl11_8
| spl11_9 ),
inference(backward_demodulation,[],[f154,f330]) ).
fof(f231,plain,
( spl11_8
| spl11_9 ),
inference(avatar_split_clause,[],[f51,f228,f224]) ).
fof(f51,plain,
( sk_c8 = sF6
| sk_c6 = sF3 ),
inference(definition_folding,[],[f27,f42,f48]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_24) ).
fof(f169,plain,
( spl11_1
| spl11_3 ),
inference(avatar_contradiction_clause,[],[f168]) ).
fof(f168,plain,
( $false
| spl11_1
| spl11_3 ),
inference(subsumption_resolution,[],[f162,f93]) ).
fof(f162,plain,
( sk_c7 = sF7
| spl11_1 ),
inference(subsumption_resolution,[],[f56,f81]) ).
fof(f56,plain,
( sk_c8 = sF1
| sk_c7 = sF7 ),
inference(definition_folding,[],[f8,f54,f38]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_5) ).
fof(f161,plain,
( spl11_5
| spl11_6
| spl11_6
| spl11_7
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f144,f92,f159,f156,f156,f153]) ).
fof(f144,plain,
( ! [X3,X8,X6,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl11_3 ),
inference(subsumption_resolution,[],[f78,f94]) ).
fof(f78,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| sk_c7 != sF7
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ),
inference(definition_folding,[],[f36,f54]) ).
fof(f36,plain,
! [X3,X8,X6,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3)) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X7,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(X8,sk_c8) != X7 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X6)
| inverse(sk_c8) != sk_c7
| inverse(X3) != X4
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(X8,sk_c8) != X7 ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_31) ).
fof(f99,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f55,f96,f92]) ).
fof(f55,plain,
( sk_c8 = sF2
| sk_c7 = sF7 ),
inference(definition_folding,[],[f4,f54,f40]) ).
fof(f4,axiom,
( sk_c8 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_1) ).
fof(f87,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f39,f84,f80]) ).
fof(f39,plain,
( sk_c2 = sF0
| sk_c8 = sF1 ),
inference(definition_folding,[],[f18,f38,f37]) ).
fof(f18,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP231-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.36 % Computer : n015.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Mon Aug 28 20:06:40 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.18/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047
% 0.18/0.36 % (31375)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (31382)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.42 % (31381)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.42 % (31383)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (31378)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.42 % (31384)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.42 % (31380)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43 % (31381)Refutation not found, incomplete strategy% (31381)------------------------------
% 0.22/0.43 % (31381)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (31381)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (31381)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.43
% 0.22/0.43 % (31381)Memory used [KB]: 10106
% 0.22/0.43 % (31381)Time elapsed: 0.012 s
% 0.22/0.43 % (31381)------------------------------
% 0.22/0.43 % (31381)------------------------------
% 0.22/0.44 % (31379)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.48 % (31383)First to succeed.
% 0.22/0.48 % (31383)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.48 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.49 % (31383)------------------------------
% 0.22/0.49 % (31383)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (31383)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (31383)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (31383)Memory used [KB]: 6012
% 0.22/0.49 % (31383)Time elapsed: 0.060 s
% 0.22/0.49 % (31383)------------------------------
% 0.22/0.49 % (31383)------------------------------
% 0.22/0.49 % (31375)Success in time 0.119 s
% 0.22/0.49 31378 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047
% 0.22/0.49 % (31378)------------------------------
% 0.22/0.49 % (31378)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (31378)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 31380 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.Dwxcz7YA9d/Vampire---4.8_31047
% 0.22/0.49 % (31380)------------------------------
% 0.22/0.49 % (31380)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.49 % (31378)Termination reason: Unknown
% 0.22/0.49 % (31380)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.49 % (31378)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (31380)Termination reason: Unknown
% 0.22/0.49 % (31380)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (31378)Memory used [KB]: 5500
% 0.22/0.49 % (31378)Time elapsed: 0.065 s
% 0.22/0.49 % (31380)Memory used [KB]: 1023
% 0.22/0.49 % (31378)------------------------------
% 0.22/0.49 % (31378)------------------------------
% 0.22/0.49 % (31380)Time elapsed: 0.065 s
% 0.22/0.49 % (31380)------------------------------
% 0.22/0.49 % (31380)------------------------------
% 0.22/0.49 % Vampire---4.8 exiting
%------------------------------------------------------------------------------