TSTP Solution File: GRP391-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP391-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Sun May 5 05:47:40 EDT 2024
% Result : Unsatisfiable 0.82s 0.87s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 72
% Syntax : Number of formulae : 367 ( 35 unt; 0 def)
% Number of atoms : 1439 ( 299 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 2024 ( 952 ~;1052 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 21 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1484,plain,
$false,
inference(avatar_sat_refutation,[],[f98,f103,f108,f113,f118,f123,f128,f129,f131,f132,f133,f138,f139,f141,f142,f143,f148,f149,f151,f152,f153,f158,f159,f160,f161,f162,f163,f184,f271,f379,f404,f443,f498,f507,f520,f538,f553,f695,f696,f746,f953,f956,f960,f970,f1116,f1150,f1452,f1453,f1476,f1477]) ).
fof(f1477,plain,
( ~ spl21_26
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f1389,f155,f145,f135,f125,f91,f546]) ).
fof(f546,plain,
( spl21_26
<=> sP3(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_26])]) ).
fof(f91,plain,
( spl21_1
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_1])]) ).
fof(f125,plain,
( spl21_8
<=> sk_c8 = sF17 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_8])]) ).
fof(f135,plain,
( spl21_9
<=> sk_c2 = sF18 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_9])]) ).
fof(f145,plain,
( spl21_10
<=> sk_c8 = sF19 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_10])]) ).
fof(f155,plain,
( spl21_11
<=> sk_c8 = sF20 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_11])]) ).
fof(f1389,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f38,f1386]) ).
fof(f1386,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1359,f1018]) ).
fof(f1018,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f2,f1016]) ).
fof(f1016,plain,
( identity = sk_c6
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f446,f1010]) ).
fof(f1010,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f861,f1009]) ).
fof(f1009,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1005,f861]) ).
fof(f1005,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f469,f1002]) ).
fof(f1002,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,X0)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f997,f865]) ).
fof(f865,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f3,f858]) ).
fof(f858,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f469,f454]) ).
fof(f454,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl21_8 ),
inference(backward_demodulation,[],[f60,f127]) ).
fof(f127,plain,
( sk_c8 = sF17
| ~ spl21_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f60,plain,
multiply(sk_c1,sk_c2) = sF17,
introduced(function_definition,[new_symbols(definition,[sF17])]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',associativity) ).
fof(f997,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f449,f990]) ).
fof(f990,plain,
( sk_c8 = sk_c7
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(forward_demodulation,[],[f618,f989]) ).
fof(f989,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f864,f454]) ).
fof(f864,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c8,sk_c8)
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f453,f858]) ).
fof(f453,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl21_8 ),
inference(backward_demodulation,[],[f204,f127]) ).
fof(f204,plain,
! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sF17,X0),
inference(superposition,[],[f3,f60]) ).
fof(f618,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_11 ),
inference(superposition,[],[f467,f447]) ).
fof(f447,plain,
( sk_c8 = multiply(sk_c6,sk_c7)
| ~ spl21_11 ),
inference(forward_demodulation,[],[f81,f157]) ).
fof(f157,plain,
( sk_c8 = sF20
| ~ spl21_11 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f81,plain,
multiply(sk_c6,sk_c7) = sF20,
introduced(function_definition,[new_symbols(definition,[sF20])]) ).
fof(f467,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl21_1 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',left_identity) ).
fof(f466,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl21_1 ),
inference(superposition,[],[f3,f446]) ).
fof(f449,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| ~ spl21_10 ),
inference(backward_demodulation,[],[f205,f147]) ).
fof(f147,plain,
( sk_c8 = sF19
| ~ spl21_10 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f205,plain,
! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sF19,X0),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
multiply(sk_c2,sk_c7) = sF19,
introduced(function_definition,[new_symbols(definition,[sF19])]) ).
fof(f469,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl21_9 ),
inference(forward_demodulation,[],[f468,f1]) ).
fof(f468,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl21_9 ),
inference(superposition,[],[f3,f451]) ).
fof(f451,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f195,f137]) ).
fof(f137,plain,
( sk_c2 = sF18
| ~ spl21_9 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f195,plain,
identity = multiply(sF18,sk_c1),
inference(superposition,[],[f2,f67]) ).
fof(f67,plain,
inverse(sk_c1) = sF18,
introduced(function_definition,[new_symbols(definition,[sF18])]) ).
fof(f861,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl21_8
| ~ spl21_9 ),
inference(superposition,[],[f453,f469]) ).
fof(f446,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl21_1 ),
inference(forward_demodulation,[],[f191,f93]) ).
fof(f93,plain,
( sk_c8 = sF11
| ~ spl21_1 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f191,plain,
identity = multiply(sF11,sk_c6),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
inverse(sk_c6) = sF11,
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',left_inverse) ).
fof(f1359,plain,
( sk_c8 = multiply(inverse(sF10),sF10)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f208,f1181]) ).
fof(f1181,plain,
( sF10 = multiply(sF10,sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f47,f1179]) ).
fof(f1179,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF10,X0)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f1168,f1010]) ).
fof(f1168,plain,
! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sF10,X0),
inference(superposition,[],[f3,f47]) ).
fof(f47,plain,
multiply(sk_c3,sk_c8) = sF10,
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f208,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f38,plain,
~ sP3(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1476,plain,
( spl21_25
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f1475,f182,f155,f145,f135,f125,f91,f531]) ).
fof(f531,plain,
( spl21_25
<=> sP1(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_25])]) ).
fof(f182,plain,
( spl21_17
<=> ! [X7] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_17])]) ).
fof(f1475,plain,
( sP1(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1157,f1387]) ).
fof(f1387,plain,
( ~ sP0(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f35,f1386]) ).
fof(f35,plain,
~ sP0(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1157,plain,
( sP1(sk_c8)
| sP0(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(forward_demodulation,[],[f1153,f448]) ).
fof(f448,plain,
( inverse(sk_c6) = sk_c8
| ~ spl21_1 ),
inference(forward_demodulation,[],[f48,f93]) ).
fof(f1153,plain,
( sP0(sk_c8)
| sP1(inverse(sk_c6))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(superposition,[],[f183,f1014]) ).
fof(f1014,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f995,f1010]) ).
fof(f995,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f445,f990]) ).
fof(f445,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl21_11 ),
inference(forward_demodulation,[],[f199,f157]) ).
fof(f199,plain,
! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sF20,X0),
inference(superposition,[],[f3,f81]) ).
fof(f183,plain,
( ! [X7] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7)) )
| ~ spl21_17 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f1453,plain,
( ~ spl21_25
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f1388,f155,f145,f135,f125,f91,f531]) ).
fof(f1388,plain,
( ~ sP1(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f36,f1386]) ).
fof(f36,plain,
~ sP1(sk_c6),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1452,plain,
( spl21_25
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(avatar_split_clause,[],[f1408,f182,f155,f145,f135,f125,f91,f531]) ).
fof(f1408,plain,
( sP1(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(forward_demodulation,[],[f1405,f1392]) ).
fof(f1392,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f448,f1386]) ).
fof(f1405,plain,
( sP1(inverse(sk_c8))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(backward_demodulation,[],[f1156,f1392]) ).
fof(f1156,plain,
( sP1(inverse(inverse(sk_c8)))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f1152,f35]) ).
fof(f1152,plain,
( sP0(sk_c6)
| sP1(inverse(inverse(sk_c8)))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_17 ),
inference(superposition,[],[f183,f1018]) ).
fof(f1150,plain,
( ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f1149]) ).
fof(f1149,plain,
( $false
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1148,f39]) ).
fof(f39,plain,
~ sP4(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1148,plain,
( sP4(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(forward_demodulation,[],[f1147,f448]) ).
fof(f1147,plain,
( sP4(inverse(sk_c6))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f1146,f992]) ).
fof(f992,plain,
( ~ sP5(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f40,f990]) ).
fof(f40,plain,
~ sP5(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1146,plain,
( sP5(sk_c8)
| sP4(inverse(sk_c6))
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_15 ),
inference(superposition,[],[f177,f1014]) ).
fof(f177,plain,
( ! [X5] :
( sP5(multiply(X5,sk_c8))
| sP4(inverse(X5)) )
| ~ spl21_15 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f176,plain,
( spl21_15
<=> ! [X5] :
( sP4(inverse(X5))
| sP5(multiply(X5,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_15])]) ).
fof(f1116,plain,
( ~ spl21_27
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f991,f155,f135,f125,f91,f550]) ).
fof(f550,plain,
( spl21_27
<=> sP2(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_27])]) ).
fof(f991,plain,
( ~ sP2(sk_c8)
| ~ spl21_1
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f37,f990]) ).
fof(f37,plain,
~ sP2(sk_c7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).
fof(f970,plain,
( ~ spl21_12
| ~ spl21_1 ),
inference(avatar_split_clause,[],[f444,f91,f165]) ).
fof(f165,plain,
( spl21_12
<=> sP9(sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_12])]) ).
fof(f444,plain,
( ~ sP9(sk_c8)
| ~ spl21_1 ),
inference(forward_demodulation,[],[f88,f93]) ).
fof(f88,plain,
~ sP9(sF11),
inference(definition_folding,[],[f44,f48]) ).
fof(f44,plain,
~ sP9(inverse(sk_c6)),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).
fof(f960,plain,
( ~ spl21_27
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f880,f155,f135,f125,f120,f115,f91,f550]) ).
fof(f115,plain,
( spl21_6
<=> sk_c6 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_6])]) ).
fof(f120,plain,
( spl21_7
<=> sk_c6 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_7])]) ).
fof(f880,plain,
( ~ sP2(sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_11 ),
inference(backward_demodulation,[],[f625,f867]) ).
fof(f867,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f866,f454]) ).
fof(f866,plain,
( sk_c6 = multiply(sk_c1,sk_c2)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f864,f623]) ).
fof(f623,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f185,f616]) ).
fof(f616,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c5,X0)
| ~ spl21_1
| ~ spl21_6 ),
inference(superposition,[],[f467,f213]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl21_6 ),
inference(forward_demodulation,[],[f212,f1]) ).
fof(f212,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl21_6 ),
inference(superposition,[],[f3,f194]) ).
fof(f194,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl21_6 ),
inference(superposition,[],[f2,f186]) ).
fof(f186,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl21_6 ),
inference(backward_demodulation,[],[f56,f117]) ).
fof(f117,plain,
( sk_c6 = sF15
| ~ spl21_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f56,plain,
inverse(sk_c5) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f185,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl21_7 ),
inference(backward_demodulation,[],[f58,f122]) ).
fof(f122,plain,
( sk_c6 = sF16
| ~ spl21_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f58,plain,
multiply(sk_c5,sk_c8) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f625,plain,
( ~ sP2(sk_c6)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f37,f624]) ).
fof(f624,plain,
( sk_c6 = sk_c7
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f618,f623]) ).
fof(f956,plain,
( spl21_26
| spl21_27
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f955,f179,f155,f145,f135,f125,f120,f115,f110,f91,f550,f546]) ).
fof(f110,plain,
( spl21_5
<=> sk_c7 = sF14 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_5])]) ).
fof(f179,plain,
( spl21_16
<=> ! [X6] :
( sP2(inverse(X6))
| sP3(multiply(X6,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_16])]) ).
fof(f955,plain,
( sP2(sk_c8)
| sP3(sk_c8)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f954,f873]) ).
fof(f873,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f448,f867]) ).
fof(f954,plain,
( sP2(inverse(sk_c8))
| sP3(sk_c8)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f777,f912]) ).
fof(f912,plain,
( sk_c8 = sk_c2
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f858,f908]) ).
fof(f908,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f469,f904]) ).
fof(f904,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f855,f901]) ).
fof(f901,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(forward_demodulation,[],[f877,f874]) ).
fof(f874,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f467,f867]) ).
fof(f877,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f622,f867]) ).
fof(f622,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f203,f616]) ).
fof(f203,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl21_7 ),
inference(superposition,[],[f3,f185]) ).
fof(f855,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f854,f815]) ).
fof(f815,plain,
( ! [X0] : multiply(sF13,X0) = X0
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f813,f467]) ).
fof(f813,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sF13,X0)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f649,f809]) ).
fof(f809,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f616,f807]) ).
fof(f807,plain,
( sk_c4 = sk_c5
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f803,f619]) ).
fof(f619,plain,
( sk_c5 = multiply(sk_c8,identity)
| ~ spl21_1
| ~ spl21_6 ),
inference(superposition,[],[f467,f194]) ).
fof(f803,plain,
( sk_c4 = multiply(sk_c8,identity)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(superposition,[],[f467,f633]) ).
fof(f633,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f193,f624]) ).
fof(f193,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl21_5 ),
inference(superposition,[],[f2,f187]) ).
fof(f187,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl21_5 ),
inference(backward_demodulation,[],[f54,f112]) ).
fof(f112,plain,
( sk_c7 = sF14
| ~ spl21_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f54,plain,
inverse(sk_c4) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f649,plain,
( ! [X0] : multiply(sF13,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f595,f624]) ).
fof(f595,plain,
! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sF13,X0),
inference(superposition,[],[f3,f52]) ).
fof(f52,plain,
multiply(sk_c4,sk_c7) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f854,plain,
( ! [X0] : multiply(sF13,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f3,f851]) ).
fof(f851,plain,
( sF13 = multiply(sk_c1,sk_c8)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(forward_demodulation,[],[f848,f819]) ).
fof(f819,plain,
( sF13 = multiply(sk_c8,sk_c6)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f446,f816]) ).
fof(f816,plain,
( identity = sF13
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f814,f446]) ).
fof(f814,plain,
( sF13 = multiply(sk_c8,sk_c6)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f627,f809]) ).
fof(f627,plain,
( sF13 = multiply(sk_c4,sk_c6)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f52,f624]) ).
fof(f848,plain,
( multiply(sk_c8,sk_c6) = multiply(sk_c1,sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_10
| ~ spl21_11 ),
inference(superposition,[],[f453,f645]) ).
fof(f645,plain,
( sk_c8 = multiply(sk_c2,sk_c6)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11 ),
inference(backward_demodulation,[],[f450,f624]) ).
fof(f450,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl21_10 ),
inference(backward_demodulation,[],[f74,f147]) ).
fof(f777,plain,
( sP3(sk_c8)
| sP2(inverse(sk_c2))
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_10
| ~ spl21_11
| ~ spl21_16 ),
inference(superposition,[],[f630,f645]) ).
fof(f630,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c6))
| sP2(inverse(X6)) )
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_16 ),
inference(backward_demodulation,[],[f180,f624]) ).
fof(f180,plain,
( ! [X6] :
( sP3(multiply(X6,sk_c7))
| sP2(inverse(X6)) )
| ~ spl21_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f953,plain,
( ~ spl21_26
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(avatar_split_clause,[],[f870,f135,f125,f120,f115,f91,f546]) ).
fof(f870,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_6
| ~ spl21_7
| ~ spl21_8
| ~ spl21_9 ),
inference(backward_demodulation,[],[f38,f867]) ).
fof(f746,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(subsumption_resolution,[],[f744,f680]) ).
fof(f680,plain,
( sk_c8 != sF13
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| spl21_4
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f106,f673]) ).
fof(f673,plain,
( sk_c6 = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f222,f665]) ).
fof(f665,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f621,f654]) ).
fof(f654,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f1,f653]) ).
fof(f653,plain,
( identity = sk_c8
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f636,f446]) ).
fof(f636,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f214,f624]) ).
fof(f214,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl21_2
| ~ spl21_3 ),
inference(superposition,[],[f209,f190]) ).
fof(f190,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| ~ spl21_2 ),
inference(backward_demodulation,[],[f47,f97]) ).
fof(f97,plain,
( sk_c7 = sF10
| ~ spl21_2 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl21_2
<=> sk_c7 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_2])]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl21_3 ),
inference(forward_demodulation,[],[f200,f1]) ).
fof(f200,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl21_3 ),
inference(superposition,[],[f3,f192]) ).
fof(f192,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl21_3 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl21_3 ),
inference(backward_demodulation,[],[f50,f102]) ).
fof(f102,plain,
( sk_c8 = sF12
| ~ spl21_3 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl21_3
<=> sk_c8 = sF12 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_3])]) ).
fof(f50,plain,
inverse(sk_c3) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f621,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl21_1
| ~ spl21_6 ),
inference(backward_demodulation,[],[f213,f616]) ).
fof(f222,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f213,f185]) ).
fof(f106,plain,
( sk_c6 != sF13
| spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl21_4
<=> sk_c6 = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl21_4])]) ).
fof(f744,plain,
( sk_c8 = sF13
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f743,f654]) ).
fof(f743,plain,
( sk_c8 = multiply(sk_c8,sF13)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(forward_demodulation,[],[f648,f673]) ).
fof(f648,plain,
( sk_c6 = multiply(sk_c6,sF13)
| ~ spl21_1
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f593,f624]) ).
fof(f593,plain,
( sk_c7 = multiply(sk_c7,sF13)
| ~ spl21_5 ),
inference(superposition,[],[f211,f52]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl21_5 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl21_5 ),
inference(superposition,[],[f3,f193]) ).
fof(f696,plain,
( ~ spl21_27
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(avatar_split_clause,[],[f686,f155,f120,f115,f100,f95,f91,f550]) ).
fof(f686,plain,
( ~ sP2(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f625,f673]) ).
fof(f695,plain,
( ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_26 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f694,plain,
( $false
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11
| ~ spl21_26 ),
inference(subsumption_resolution,[],[f679,f548]) ).
fof(f548,plain,
( sP3(sk_c8)
| ~ spl21_26 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f679,plain,
( ~ sP3(sk_c8)
| ~ spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_6
| ~ spl21_7
| ~ spl21_11 ),
inference(backward_demodulation,[],[f38,f673]) ).
fof(f553,plain,
( spl21_26
| spl21_27
| ~ spl21_1
| ~ spl21_11
| ~ spl21_16 ),
inference(avatar_split_clause,[],[f544,f179,f155,f91,f550,f546]) ).
fof(f544,plain,
( sP2(sk_c8)
| sP3(sk_c8)
| ~ spl21_1
| ~ spl21_11
| ~ spl21_16 ),
inference(forward_demodulation,[],[f540,f448]) ).
fof(f540,plain,
( sP3(sk_c8)
| sP2(inverse(sk_c6))
| ~ spl21_11
| ~ spl21_16 ),
inference(superposition,[],[f180,f447]) ).
fof(f538,plain,
( ~ spl21_6
| ~ spl21_7
| ~ spl21_17 ),
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f537,plain,
( $false
| ~ spl21_6
| ~ spl21_7
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f536,f36]) ).
fof(f536,plain,
( sP1(sk_c6)
| ~ spl21_6
| ~ spl21_7
| ~ spl21_17 ),
inference(forward_demodulation,[],[f535,f186]) ).
fof(f535,plain,
( sP1(inverse(sk_c5))
| ~ spl21_7
| ~ spl21_17 ),
inference(subsumption_resolution,[],[f524,f35]) ).
fof(f524,plain,
( sP0(sk_c6)
| sP1(inverse(sk_c5))
| ~ spl21_7
| ~ spl21_17 ),
inference(superposition,[],[f183,f185]) ).
fof(f520,plain,
( ~ spl21_11
| ~ spl21_14 ),
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f519,plain,
( $false
| ~ spl21_11
| ~ spl21_14 ),
inference(subsumption_resolution,[],[f518,f41]) ).
fof(f41,plain,
~ sP6(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).
fof(f518,plain,
( sP6(sk_c8)
| ~ spl21_11
| ~ spl21_14 ),
inference(forward_demodulation,[],[f174,f157]) ).
fof(f174,plain,
( sP6(sF20)
| ~ spl21_14 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl21_14
<=> sP6(sF20) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_14])]) ).
fof(f507,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_15 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f506,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f505,f39]) ).
fof(f505,plain,
( sP4(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_15 ),
inference(forward_demodulation,[],[f504,f189]) ).
fof(f504,plain,
( sP4(inverse(sk_c3))
| ~ spl21_2
| ~ spl21_15 ),
inference(subsumption_resolution,[],[f502,f40]) ).
fof(f502,plain,
( sP5(sk_c7)
| sP4(inverse(sk_c3))
| ~ spl21_2
| ~ spl21_15 ),
inference(superposition,[],[f177,f190]) ).
fof(f498,plain,
( ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f496,f43]) ).
fof(f43,plain,
~ sP8(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).
fof(f496,plain,
( sP8(sk_c8)
| ~ spl21_8
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(forward_demodulation,[],[f495,f454]) ).
fof(f495,plain,
( sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f494,f42]) ).
fof(f42,plain,
~ sP7(sk_c8),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).
fof(f494,plain,
( sP7(sk_c8)
| sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_10
| ~ spl21_13 ),
inference(forward_demodulation,[],[f475,f450]) ).
fof(f475,plain,
( sP7(multiply(sk_c2,sk_c7))
| sP8(multiply(sk_c1,sk_c2))
| ~ spl21_9
| ~ spl21_13 ),
inference(superposition,[],[f170,f452]) ).
fof(f452,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl21_9 ),
inference(backward_demodulation,[],[f67,f137]) ).
fof(f170,plain,
( ! [X3] :
( sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3))) )
| ~ spl21_13 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl21_13
<=> ! [X3] :
( sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl21_13])]) ).
fof(f443,plain,
( ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f442,plain,
( $false
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f441,f43]) ).
fof(f441,plain,
( sP8(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f440,f378]) ).
fof(f378,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f363,f369]) ).
fof(f369,plain,
( sk_c8 = sk_c7
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f367,f363]) ).
fof(f367,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f189,f366]) ).
fof(f366,plain,
( sk_c8 = sk_c3
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f349,f353]) ).
fof(f353,plain,
( identity = sk_c8
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f259,f344]) ).
fof(f344,plain,
( ! [X0] : multiply(sF11,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f286,f341]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f331,f327]) ).
fof(f327,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f325,f286]) ).
fof(f325,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sF11,multiply(sk_c8,X0))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f201,f314]) ).
fof(f314,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sF11,X0)
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f286,f209]) ).
fof(f201,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c8,X0))
| ~ spl21_2 ),
inference(superposition,[],[f3,f190]) ).
fof(f331,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f266,f327]) ).
fof(f266,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f221,f247]) ).
fof(f247,plain,
( sk_c6 = sk_c8
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f246,f188]) ).
fof(f188,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| ~ spl21_4 ),
inference(backward_demodulation,[],[f52,f107]) ).
fof(f107,plain,
( sk_c6 = sF13
| ~ spl21_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f246,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f241,f222]) ).
fof(f241,plain,
( multiply(sk_c4,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f202,f218]) ).
fof(f218,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f211,f188]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl21_4 ),
inference(superposition,[],[f3,f188]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f3,f218]) ).
fof(f286,plain,
( ! [X0] : multiply(sF11,multiply(sk_c8,X0)) = X0
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f285,plain,
( ! [X0] : multiply(identity,X0) = multiply(sF11,multiply(sk_c8,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(superposition,[],[f3,f259]) ).
fof(f259,plain,
( identity = multiply(sF11,sk_c8)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f191,f247]) ).
fof(f349,plain,
( identity = sk_c3
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f192,f341]) ).
fof(f363,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f251,f361]) ).
fof(f361,plain,
( sk_c7 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f359,f251]) ).
fof(f359,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f187,f358]) ).
fof(f358,plain,
( sk_c8 = sk_c4
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f357,f353]) ).
fof(f357,plain,
( identity = sk_c4
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f346,f341]) ).
fof(f346,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f339,f341]) ).
fof(f339,plain,
( multiply(sk_c8,sk_c4) = multiply(sk_c8,identity)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f275,f330]) ).
fof(f330,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,X0)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f262,f327]) ).
fof(f262,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f202,f247]) ).
fof(f275,plain,
( multiply(sk_c4,identity) = multiply(sk_c8,sk_c4)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f243,f247]) ).
fof(f243,plain,
( multiply(sk_c6,sk_c4) = multiply(sk_c4,identity)
| ~ spl21_4
| ~ spl21_5 ),
inference(superposition,[],[f202,f193]) ).
fof(f251,plain,
( sF11 = inverse(sk_c8)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f48,f247]) ).
fof(f440,plain,
( sP8(inverse(sk_c8))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f439,f341]) ).
fof(f439,plain,
( sP8(multiply(sk_c8,inverse(sk_c8)))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(subsumption_resolution,[],[f424,f42]) ).
fof(f424,plain,
( sP7(sk_c8)
| sP8(multiply(sk_c8,inverse(sk_c8)))
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(superposition,[],[f405,f355]) ).
fof(f355,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f2,f353]) ).
fof(f405,plain,
( ! [X3] :
( sP7(multiply(inverse(X3),sk_c8))
| sP8(multiply(X3,inverse(X3))) )
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7
| ~ spl21_13 ),
inference(forward_demodulation,[],[f170,f369]) ).
fof(f404,plain,
( ~ spl21_12
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f377,f120,f115,f110,f105,f100,f95,f165]) ).
fof(f377,plain,
( ~ sP9(sk_c8)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f362,f369]) ).
fof(f362,plain,
( ~ sP9(sk_c7)
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f88,f361]) ).
fof(f379,plain,
( spl21_1
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f376,f120,f115,f110,f105,f100,f95,f91]) ).
fof(f376,plain,
( sk_c8 = sF11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f361,f369]) ).
fof(f271,plain,
( spl21_11
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(avatar_split_clause,[],[f270,f120,f115,f110,f105,f100,f95,f155]) ).
fof(f270,plain,
( sk_c8 = sF20
| ~ spl21_2
| ~ spl21_3
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(forward_demodulation,[],[f252,f214]) ).
fof(f252,plain,
( sF20 = multiply(sk_c8,sk_c7)
| ~ spl21_4
| ~ spl21_5
| ~ spl21_6
| ~ spl21_7 ),
inference(backward_demodulation,[],[f81,f247]) ).
fof(f184,plain,
( spl21_12
| spl21_13
| spl21_14
| spl21_15
| spl21_16
| spl21_17 ),
inference(avatar_split_clause,[],[f89,f182,f179,f176,f172,f169,f165]) ).
fof(f89,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(sF20)
| sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3)))
| sP9(sk_c8) ),
inference(definition_folding,[],[f46,f81]) ).
fof(f46,plain,
! [X3,X6,X7,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(multiply(sk_c6,sk_c7))
| sP7(multiply(inverse(X3),sk_c7))
| sP8(multiply(X3,inverse(X3)))
| sP9(sk_c8) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X6,X7,X4,X5] :
( sP0(multiply(X7,sk_c8))
| sP1(inverse(X7))
| sP2(inverse(X6))
| sP3(multiply(X6,sk_c7))
| sP4(inverse(X5))
| sP5(multiply(X5,sk_c8))
| sP6(multiply(sk_c6,sk_c7))
| sP7(multiply(X4,sk_c7))
| inverse(X3) != X4
| sP8(multiply(X3,X4))
| sP9(sk_c8) ),
inference(inequality_splitting,[],[f34,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X7,sk_c8)
| sk_c6 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != multiply(X4,sk_c7)
| inverse(X3) != X4
| sk_c8 != multiply(X3,X4)
| inverse(sk_c6) != sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_31) ).
fof(f163,plain,
( spl21_11
| spl21_7 ),
inference(avatar_split_clause,[],[f87,f120,f155]) ).
fof(f87,plain,
( sk_c6 = sF16
| sk_c8 = sF20 ),
inference(definition_folding,[],[f33,f81,f58]) ).
fof(f33,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_30) ).
fof(f162,plain,
( spl21_11
| spl21_6 ),
inference(avatar_split_clause,[],[f86,f115,f155]) ).
fof(f86,plain,
( sk_c6 = sF15
| sk_c8 = sF20 ),
inference(definition_folding,[],[f32,f81,f56]) ).
fof(f32,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_29) ).
fof(f161,plain,
( spl21_11
| spl21_5 ),
inference(avatar_split_clause,[],[f85,f110,f155]) ).
fof(f85,plain,
( sk_c7 = sF14
| sk_c8 = sF20 ),
inference(definition_folding,[],[f31,f81,f54]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_28) ).
fof(f160,plain,
( spl21_11
| spl21_4 ),
inference(avatar_split_clause,[],[f84,f105,f155]) ).
fof(f84,plain,
( sk_c6 = sF13
| sk_c8 = sF20 ),
inference(definition_folding,[],[f30,f81,f52]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_27) ).
fof(f159,plain,
( spl21_11
| spl21_3 ),
inference(avatar_split_clause,[],[f83,f100,f155]) ).
fof(f83,plain,
( sk_c8 = sF12
| sk_c8 = sF20 ),
inference(definition_folding,[],[f29,f81,f50]) ).
fof(f29,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_26) ).
fof(f158,plain,
( spl21_11
| spl21_2 ),
inference(avatar_split_clause,[],[f82,f95,f155]) ).
fof(f82,plain,
( sk_c7 = sF10
| sk_c8 = sF20 ),
inference(definition_folding,[],[f28,f81,f47]) ).
fof(f28,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_25) ).
fof(f153,plain,
( spl21_10
| spl21_7 ),
inference(avatar_split_clause,[],[f80,f120,f145]) ).
fof(f80,plain,
( sk_c6 = sF16
| sk_c8 = sF19 ),
inference(definition_folding,[],[f27,f74,f58]) ).
fof(f27,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_24) ).
fof(f152,plain,
( spl21_10
| spl21_6 ),
inference(avatar_split_clause,[],[f79,f115,f145]) ).
fof(f79,plain,
( sk_c6 = sF15
| sk_c8 = sF19 ),
inference(definition_folding,[],[f26,f74,f56]) ).
fof(f26,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_23) ).
fof(f151,plain,
( spl21_10
| spl21_5 ),
inference(avatar_split_clause,[],[f78,f110,f145]) ).
fof(f78,plain,
( sk_c7 = sF14
| sk_c8 = sF19 ),
inference(definition_folding,[],[f25,f74,f54]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_22) ).
fof(f149,plain,
( spl21_10
| spl21_3 ),
inference(avatar_split_clause,[],[f76,f100,f145]) ).
fof(f76,plain,
( sk_c8 = sF12
| sk_c8 = sF19 ),
inference(definition_folding,[],[f23,f74,f50]) ).
fof(f23,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_20) ).
fof(f148,plain,
( spl21_10
| spl21_2 ),
inference(avatar_split_clause,[],[f75,f95,f145]) ).
fof(f75,plain,
( sk_c7 = sF10
| sk_c8 = sF19 ),
inference(definition_folding,[],[f22,f74,f47]) ).
fof(f22,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_19) ).
fof(f143,plain,
( spl21_9
| spl21_7 ),
inference(avatar_split_clause,[],[f73,f120,f135]) ).
fof(f73,plain,
( sk_c6 = sF16
| sk_c2 = sF18 ),
inference(definition_folding,[],[f21,f67,f58]) ).
fof(f21,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_18) ).
fof(f142,plain,
( spl21_9
| spl21_6 ),
inference(avatar_split_clause,[],[f72,f115,f135]) ).
fof(f72,plain,
( sk_c6 = sF15
| sk_c2 = sF18 ),
inference(definition_folding,[],[f20,f67,f56]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_17) ).
fof(f141,plain,
( spl21_9
| spl21_5 ),
inference(avatar_split_clause,[],[f71,f110,f135]) ).
fof(f71,plain,
( sk_c7 = sF14
| sk_c2 = sF18 ),
inference(definition_folding,[],[f19,f67,f54]) ).
fof(f19,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_16) ).
fof(f139,plain,
( spl21_9
| spl21_3 ),
inference(avatar_split_clause,[],[f69,f100,f135]) ).
fof(f69,plain,
( sk_c8 = sF12
| sk_c2 = sF18 ),
inference(definition_folding,[],[f17,f67,f50]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_14) ).
fof(f138,plain,
( spl21_9
| spl21_2 ),
inference(avatar_split_clause,[],[f68,f95,f135]) ).
fof(f68,plain,
( sk_c7 = sF10
| sk_c2 = sF18 ),
inference(definition_folding,[],[f16,f67,f47]) ).
fof(f16,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_13) ).
fof(f133,plain,
( spl21_8
| spl21_7 ),
inference(avatar_split_clause,[],[f66,f120,f125]) ).
fof(f66,plain,
( sk_c6 = sF16
| sk_c8 = sF17 ),
inference(definition_folding,[],[f15,f60,f58]) ).
fof(f15,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_12) ).
fof(f132,plain,
( spl21_8
| spl21_6 ),
inference(avatar_split_clause,[],[f65,f115,f125]) ).
fof(f65,plain,
( sk_c6 = sF15
| sk_c8 = sF17 ),
inference(definition_folding,[],[f14,f60,f56]) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_11) ).
fof(f131,plain,
( spl21_8
| spl21_5 ),
inference(avatar_split_clause,[],[f64,f110,f125]) ).
fof(f64,plain,
( sk_c7 = sF14
| sk_c8 = sF17 ),
inference(definition_folding,[],[f13,f60,f54]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_10) ).
fof(f129,plain,
( spl21_8
| spl21_3 ),
inference(avatar_split_clause,[],[f62,f100,f125]) ).
fof(f62,plain,
( sk_c8 = sF12
| sk_c8 = sF17 ),
inference(definition_folding,[],[f11,f60,f50]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_8) ).
fof(f128,plain,
( spl21_8
| spl21_2 ),
inference(avatar_split_clause,[],[f61,f95,f125]) ).
fof(f61,plain,
( sk_c7 = sF10
| sk_c8 = sF17 ),
inference(definition_folding,[],[f10,f60,f47]) ).
fof(f10,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_7) ).
fof(f123,plain,
( spl21_1
| spl21_7 ),
inference(avatar_split_clause,[],[f59,f120,f91]) ).
fof(f59,plain,
( sk_c6 = sF16
| sk_c8 = sF11 ),
inference(definition_folding,[],[f9,f48,f58]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_6) ).
fof(f118,plain,
( spl21_1
| spl21_6 ),
inference(avatar_split_clause,[],[f57,f115,f91]) ).
fof(f57,plain,
( sk_c6 = sF15
| sk_c8 = sF11 ),
inference(definition_folding,[],[f8,f48,f56]) ).
fof(f8,axiom,
( sk_c6 = inverse(sk_c5)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_5) ).
fof(f113,plain,
( spl21_1
| spl21_5 ),
inference(avatar_split_clause,[],[f55,f110,f91]) ).
fof(f55,plain,
( sk_c7 = sF14
| sk_c8 = sF11 ),
inference(definition_folding,[],[f7,f48,f54]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_4) ).
fof(f108,plain,
( spl21_1
| spl21_4 ),
inference(avatar_split_clause,[],[f53,f105,f91]) ).
fof(f53,plain,
( sk_c6 = sF13
| sk_c8 = sF11 ),
inference(definition_folding,[],[f6,f48,f52]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c4,sk_c7)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_3) ).
fof(f103,plain,
( spl21_1
| spl21_3 ),
inference(avatar_split_clause,[],[f51,f100,f91]) ).
fof(f51,plain,
( sk_c8 = sF12
| sk_c8 = sF11 ),
inference(definition_folding,[],[f5,f48,f50]) ).
fof(f5,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_2) ).
fof(f98,plain,
( spl21_1
| spl21_2 ),
inference(avatar_split_clause,[],[f49,f95,f91]) ).
fof(f49,plain,
( sk_c7 = sF10
| sk_c8 = sF11 ),
inference(definition_folding,[],[f4,f48,f47]) ).
fof(f4,axiom,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP391-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:42:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.z8kgCXKqUb/Vampire---4.8_2676
% 0.62/0.79 % (2881)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (2886)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.80 % (2884)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (2885)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (2887)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.80 % (2889)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.80 % (2888)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.80 % (2881)Refutation not found, incomplete strategy% (2881)------------------------------
% 0.65/0.80 % (2881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2881)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2881)Memory used [KB]: 999
% 0.65/0.80 % (2881)Time elapsed: 0.002 s
% 0.65/0.80 % (2881)Instructions burned: 4 (million)
% 0.65/0.80 % (2881)------------------------------
% 0.65/0.80 % (2881)------------------------------
% 0.65/0.80 % (2886)Refutation not found, incomplete strategy% (2886)------------------------------
% 0.65/0.80 % (2886)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2886)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2886)Memory used [KB]: 998
% 0.65/0.80 % (2885)Refutation not found, incomplete strategy% (2885)------------------------------
% 0.65/0.80 % (2885)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2886)Time elapsed: 0.003 s
% 0.65/0.80 % (2886)Instructions burned: 4 (million)
% 0.65/0.80 % (2885)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2885)Memory used [KB]: 981
% 0.65/0.80 % (2885)Time elapsed: 0.004 s
% 0.65/0.80 % (2885)Instructions burned: 4 (million)
% 0.65/0.80 % (2886)------------------------------
% 0.65/0.80 % (2886)------------------------------
% 0.65/0.80 % (2889)Refutation not found, incomplete strategy% (2889)------------------------------
% 0.65/0.80 % (2889)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2889)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2889)Memory used [KB]: 984
% 0.65/0.80 % (2889)Time elapsed: 0.003 s
% 0.65/0.80 % (2889)Instructions burned: 4 (million)
% 0.65/0.80 % (2885)------------------------------
% 0.65/0.80 % (2885)------------------------------
% 0.65/0.80 % (2889)------------------------------
% 0.65/0.80 % (2889)------------------------------
% 0.65/0.80 % (2884)Refutation not found, incomplete strategy% (2884)------------------------------
% 0.65/0.80 % (2884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2884)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2884)Memory used [KB]: 1052
% 0.65/0.80 % (2884)Time elapsed: 0.004 s
% 0.65/0.80 % (2884)Instructions burned: 5 (million)
% 0.65/0.80 % (2887)Refutation not found, incomplete strategy% (2887)------------------------------
% 0.65/0.80 % (2887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2887)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2887)Memory used [KB]: 987
% 0.65/0.80 % (2887)Time elapsed: 0.004 s
% 0.65/0.80 % (2887)Instructions burned: 5 (million)
% 0.65/0.80 % (2884)------------------------------
% 0.65/0.80 % (2884)------------------------------
% 0.65/0.80 % (2887)------------------------------
% 0.65/0.80 % (2887)------------------------------
% 0.65/0.80 % (2883)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.80 % (2888)Refutation not found, incomplete strategy% (2888)------------------------------
% 0.65/0.80 % (2888)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2888)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2888)Memory used [KB]: 1065
% 0.65/0.80 % (2888)Time elapsed: 0.005 s
% 0.65/0.80 % (2888)Instructions burned: 5 (million)
% 0.65/0.80 % (2888)------------------------------
% 0.65/0.80 % (2888)------------------------------
% 0.65/0.80 % (2891)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.65/0.80 % (2892)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.80 % (2893)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.65/0.80 % (2894)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.65/0.80 % (2895)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.65/0.80 % (2896)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.65/0.80 % (2891)Refutation not found, incomplete strategy% (2891)------------------------------
% 0.65/0.80 % (2891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2891)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2891)Memory used [KB]: 977
% 0.65/0.80 % (2891)Time elapsed: 0.003 s
% 0.65/0.80 % (2891)Instructions burned: 5 (million)
% 0.65/0.80 % (2891)------------------------------
% 0.65/0.80 % (2891)------------------------------
% 0.65/0.80 % (2890)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.80 % (2893)Refutation not found, incomplete strategy% (2893)------------------------------
% 0.65/0.80 % (2893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2893)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80 % (2895)Refutation not found, incomplete strategy% (2895)------------------------------
% 0.65/0.80 % (2895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2895)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2895)Memory used [KB]: 1005
% 0.65/0.80 % (2895)Time elapsed: 0.004 s
% 0.65/0.80 % (2895)Instructions burned: 4 (million)
% 0.65/0.80
% 0.65/0.80 % (2893)Memory used [KB]: 1052
% 0.65/0.80 % (2893)Time elapsed: 0.004 s
% 0.65/0.80 % (2893)Instructions burned: 5 (million)
% 0.65/0.80 % (2894)Refutation not found, incomplete strategy% (2894)------------------------------
% 0.65/0.80 % (2894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2894)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2894)Memory used [KB]: 1050
% 0.65/0.80 % (2894)Time elapsed: 0.004 s
% 0.65/0.80 % (2895)------------------------------
% 0.65/0.80 % (2895)------------------------------
% 0.65/0.80 % (2894)Instructions burned: 5 (million)
% 0.65/0.80 % (2893)------------------------------
% 0.65/0.80 % (2893)------------------------------
% 0.65/0.80 % (2894)------------------------------
% 0.65/0.80 % (2894)------------------------------
% 0.65/0.80 % (2892)Refutation not found, incomplete strategy% (2892)------------------------------
% 0.65/0.80 % (2892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80 % (2892)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.80
% 0.65/0.80 % (2892)Memory used [KB]: 1064
% 0.65/0.80 % (2892)Time elapsed: 0.005 s
% 0.65/0.80 % (2892)Instructions burned: 6 (million)
% 0.65/0.81 % (2892)------------------------------
% 0.65/0.81 % (2892)------------------------------
% 0.65/0.81 % (2890)Refutation not found, incomplete strategy% (2890)------------------------------
% 0.65/0.81 % (2890)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2890)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2890)Memory used [KB]: 1053
% 0.65/0.81 % (2890)Time elapsed: 0.004 s
% 0.65/0.81 % (2890)Instructions burned: 5 (million)
% 0.65/0.81 % (2898)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.65/0.81 % (2890)------------------------------
% 0.65/0.81 % (2890)------------------------------
% 0.65/0.81 % (2899)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.65/0.81 % (2898)Refutation not found, incomplete strategy% (2898)------------------------------
% 0.65/0.81 % (2898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2900)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.65/0.81 % (2898)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2898)Memory used [KB]: 985
% 0.65/0.81 % (2898)Time elapsed: 0.003 s
% 0.65/0.81 % (2898)Instructions burned: 4 (million)
% 0.65/0.81 % (2901)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2995ds/62Mi)
% 0.65/0.81 % (2898)------------------------------
% 0.65/0.81 % (2898)------------------------------
% 0.65/0.81 % (2896)Refutation not found, incomplete strategy% (2896)------------------------------
% 0.65/0.81 % (2896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2902)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2995ds/32Mi)
% 0.65/0.81 % (2896)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2896)Memory used [KB]: 1087
% 0.65/0.81 % (2896)Time elapsed: 0.008 s
% 0.65/0.81 % (2896)Instructions burned: 10 (million)
% 0.65/0.81 % (2896)------------------------------
% 0.65/0.81 % (2896)------------------------------
% 0.65/0.81 % (2901)Refutation not found, incomplete strategy% (2901)------------------------------
% 0.65/0.81 % (2901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2901)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2901)Memory used [KB]: 984
% 0.65/0.81 % (2901)Time elapsed: 0.003 s
% 0.65/0.81 % (2901)Instructions burned: 3 (million)
% 0.65/0.81 % (2899)Refutation not found, incomplete strategy% (2899)------------------------------
% 0.65/0.81 % (2899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2899)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2899)Memory used [KB]: 1000
% 0.65/0.81 % (2899)Time elapsed: 0.004 s
% 0.65/0.81 % (2899)Instructions burned: 4 (million)
% 0.65/0.81 % (2901)------------------------------
% 0.65/0.81 % (2901)------------------------------
% 0.65/0.81 % (2899)------------------------------
% 0.65/0.81 % (2899)------------------------------
% 0.65/0.81 % (2903)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2995ds/1919Mi)
% 0.65/0.81 % (2902)Refutation not found, incomplete strategy% (2902)------------------------------
% 0.65/0.81 % (2902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2902)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2902)Memory used [KB]: 1059
% 0.65/0.81 % (2902)Time elapsed: 0.004 s
% 0.65/0.81 % (2902)Instructions burned: 5 (million)
% 0.65/0.81 % (2904)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.81 % (2902)------------------------------
% 0.65/0.81 % (2902)------------------------------
% 0.65/0.81 % (2905)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.65/0.81 % (2903)Refutation not found, incomplete strategy% (2903)------------------------------
% 0.65/0.81 % (2903)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2903)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2903)Memory used [KB]: 1052
% 0.65/0.81 % (2903)Time elapsed: 0.004 s
% 0.65/0.81 % (2903)Instructions burned: 5 (million)
% 0.65/0.81 % (2903)------------------------------
% 0.65/0.81 % (2903)------------------------------
% 0.65/0.81 % (2907)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.65/0.81 % (2904)Refutation not found, incomplete strategy% (2904)------------------------------
% 0.65/0.81 % (2904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.81 % (2904)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.81
% 0.65/0.81 % (2904)Memory used [KB]: 1001
% 0.65/0.81 % (2904)Time elapsed: 0.003 s
% 0.65/0.81 % (2904)Instructions burned: 4 (million)
% 0.65/0.81 % (2908)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.65/0.81 % (2904)------------------------------
% 0.65/0.81 % (2904)------------------------------
% 0.65/0.82 % (2907)Refutation not found, incomplete strategy% (2907)------------------------------
% 0.65/0.82 % (2907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (2907)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (2907)Memory used [KB]: 997
% 0.65/0.82 % (2907)Time elapsed: 0.003 s
% 0.65/0.82 % (2907)Instructions burned: 4 (million)
% 0.65/0.82 % (2910)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.65/0.82 % (2907)------------------------------
% 0.65/0.82 % (2907)------------------------------
% 0.65/0.82 % (2912)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.65/0.82 % (2913)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.65/0.82 % (2914)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.65/0.82 % (2914)Refutation not found, incomplete strategy% (2914)------------------------------
% 0.65/0.82 % (2914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (2914)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (2914)Memory used [KB]: 979
% 0.65/0.82 % (2914)Time elapsed: 0.003 s
% 0.65/0.82 % (2914)Instructions burned: 4 (million)
% 0.65/0.82 % (2914)------------------------------
% 0.65/0.82 % (2914)------------------------------
% 0.65/0.82 % (2905)Refutation not found, incomplete strategy% (2905)------------------------------
% 0.65/0.82 % (2905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (2905)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (2905)Memory used [KB]: 1063
% 0.65/0.82 % (2905)Time elapsed: 0.011 s
% 0.65/0.82 % (2905)Instructions burned: 18 (million)
% 0.65/0.82 % (2905)------------------------------
% 0.65/0.82 % (2905)------------------------------
% 0.65/0.82 % (2916)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.65/0.82 % (2883)Instruction limit reached!
% 0.65/0.82 % (2883)------------------------------
% 0.65/0.82 % (2883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.82 % (2883)Termination reason: Unknown
% 0.65/0.82 % (2883)Termination phase: Saturation
% 0.65/0.82
% 0.65/0.82 % (2883)Memory used [KB]: 1666
% 0.65/0.82 % (2883)Time elapsed: 0.027 s
% 0.65/0.82 % (2883)Instructions burned: 51 (million)
% 0.65/0.82 % (2883)------------------------------
% 0.65/0.82 % (2883)------------------------------
% 0.65/0.83 % (2918)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.65/0.83 % (2916)Refutation not found, incomplete strategy% (2916)------------------------------
% 0.65/0.83 % (2916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.83 % (2916)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (2916)Memory used [KB]: 1066
% 0.65/0.83 % (2916)Time elapsed: 0.004 s
% 0.65/0.83 % (2916)Instructions burned: 4 (million)
% 0.65/0.83 % (2916)------------------------------
% 0.65/0.83 % (2916)------------------------------
% 0.65/0.83 % (2919)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.82/0.83 % (2921)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.82/0.83 % (2918)Refutation not found, incomplete strategy% (2918)------------------------------
% 0.82/0.83 % (2918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.83 % (2918)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.83
% 0.82/0.83 % (2918)Memory used [KB]: 1100
% 0.82/0.83 % (2918)Time elapsed: 0.007 s
% 0.82/0.83 % (2918)Instructions burned: 8 (million)
% 0.82/0.83 % (2918)------------------------------
% 0.82/0.83 % (2918)------------------------------
% 0.82/0.83 % (2910)Instruction limit reached!
% 0.82/0.83 % (2910)------------------------------
% 0.82/0.83 % (2910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.83 % (2910)Termination reason: Unknown
% 0.82/0.83 % (2910)Termination phase: Saturation
% 0.82/0.83
% 0.82/0.83 % (2910)Memory used [KB]: 1188
% 0.82/0.83 % (2910)Time elapsed: 0.020 s
% 0.82/0.83 % (2910)Instructions burned: 36 (million)
% 0.82/0.83 % (2910)------------------------------
% 0.82/0.83 % (2910)------------------------------
% 0.82/0.84 % (2923)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.82/0.84 % (2924)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.82/0.85 % (2923)Refutation not found, incomplete strategy% (2923)------------------------------
% 0.82/0.85 % (2923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.85 % (2923)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.85
% 0.82/0.85 % (2923)Memory used [KB]: 1088
% 0.82/0.85 % (2923)Time elapsed: 0.014 s
% 0.82/0.85 % (2923)Instructions burned: 27 (million)
% 0.82/0.85 % (2923)------------------------------
% 0.82/0.85 % (2923)------------------------------
% 0.82/0.85 % (2929)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2995ds/55Mi)
% 0.82/0.85 % (2900)Instruction limit reached!
% 0.82/0.85 % (2900)------------------------------
% 0.82/0.85 % (2900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.85 % (2900)Termination reason: Unknown
% 0.82/0.85 % (2900)Termination phase: Saturation
% 0.82/0.85
% 0.82/0.85 % (2900)Memory used [KB]: 2172
% 0.82/0.85 % (2900)Time elapsed: 0.048 s
% 0.82/0.85 % (2900)Instructions burned: 93 (million)
% 0.82/0.85 % (2900)------------------------------
% 0.82/0.85 % (2900)------------------------------
% 0.82/0.86 % (2924)Instruction limit reached!
% 0.82/0.86 % (2924)------------------------------
% 0.82/0.86 % (2924)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86 % (2924)Termination reason: Unknown
% 0.82/0.86 % (2924)Termination phase: Saturation
% 0.82/0.86
% 0.82/0.86 % (2924)Memory used [KB]: 1503
% 0.82/0.86 % (2924)Time elapsed: 0.022 s
% 0.82/0.86 % (2924)Instructions burned: 38 (million)
% 0.82/0.86 % (2924)------------------------------
% 0.82/0.86 % (2924)------------------------------
% 0.82/0.86 % (2912)Instruction limit reached!
% 0.82/0.86 % (2912)------------------------------
% 0.82/0.86 % (2912)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86 % (2912)Termination reason: Unknown
% 0.82/0.86 % (2912)Termination phase: Saturation
% 0.82/0.86
% 0.82/0.86 % (2912)Memory used [KB]: 1410
% 0.82/0.86 % (2912)Time elapsed: 0.043 s
% 0.82/0.86 % (2912)Instructions burned: 88 (million)
% 0.82/0.86 % (2912)------------------------------
% 0.82/0.86 % (2912)------------------------------
% 0.82/0.86 % (2930)dis-1011_1:32_to=lpo:drc=off:sil=2000:sp=reverse_arity:sos=on:foolp=on:lsd=20:nwc=1.49509792053687:s2agt=30:avsq=on:s2a=on:s2pl=no:i=47:s2at=5.0:avsqr=5593,1048576:nm=0:fsr=off:amm=sco:rawr=on:awrs=converge:awrsf=427:ss=included:sd=1:slsq=on:fd=off_0 on Vampire---4 for (2995ds/47Mi)
% 0.82/0.86 % (2931)lrs+10_1:1024_sil=2000:st=2.0:i=32:sd=2:ss=included:ep=R_0 on Vampire---4 for (2995ds/32Mi)
% 0.82/0.86 % (2908)Instruction limit reached!
% 0.82/0.86 % (2908)------------------------------
% 0.82/0.86 % (2908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86 % (2908)Termination reason: Unknown
% 0.82/0.86 % (2908)Termination phase: Saturation
% 0.82/0.86
% 0.82/0.86 % (2908)Memory used [KB]: 2316
% 0.82/0.86 % (2908)Time elapsed: 0.049 s
% 0.82/0.86 % (2908)Instructions burned: 102 (million)
% 0.82/0.86 % (2908)------------------------------
% 0.82/0.86 % (2908)------------------------------
% 0.82/0.86 % (2919)First to succeed.
% 0.82/0.86 % (2932)dis+1011_1:1_sil=4000:s2agt=4:slsqc=3:slsq=on:i=132:bd=off:av=off:sup=off:ss=axioms:st=3.0_0 on Vampire---4 for (2995ds/132Mi)
% 0.82/0.86 % (2931)Refutation not found, incomplete strategy% (2931)------------------------------
% 0.82/0.86 % (2931)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86 % (2931)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.86
% 0.82/0.86 % (2931)Memory used [KB]: 983
% 0.82/0.86 % (2931)Time elapsed: 0.003 s
% 0.82/0.86 % (2931)Instructions burned: 4 (million)
% 0.82/0.86 % (2931)------------------------------
% 0.82/0.86 % (2931)------------------------------
% 0.82/0.86 % (2932)Refutation not found, incomplete strategy% (2932)------------------------------
% 0.82/0.86 % (2932)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.86 % (2932)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.86
% 0.82/0.86 % (2932)Memory used [KB]: 966
% 0.82/0.86 % (2932)Time elapsed: 0.004 s
% 0.82/0.86 % (2932)Instructions burned: 4 (million)
% 0.82/0.86 % (2932)------------------------------
% 0.82/0.86 % (2932)------------------------------
% 0.82/0.86 % (2933)dis-1011_1:1024_sil=2000:fde=unused:sos=on:nwc=10.0:i=54:uhcvi=on:ss=axioms:ep=RS:av=off:sp=occurrence:fsr=off:awrs=decay:awrsf=200_0 on Vampire---4 for (2995ds/54Mi)
% 0.82/0.87 % (2919)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2828"
% 0.82/0.87 % (2919)Refutation found. Thanks to Tanya!
% 0.82/0.87 % SZS status Unsatisfiable for Vampire---4
% 0.82/0.87 % SZS output start Proof for Vampire---4
% See solution above
% 0.82/0.87 % (2919)------------------------------
% 0.82/0.87 % (2919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.87 % (2919)Termination reason: Refutation
% 0.82/0.87
% 0.82/0.87 % (2919)Memory used [KB]: 1488
% 0.82/0.87 % (2919)Time elapsed: 0.039 s
% 0.82/0.87 % (2919)Instructions burned: 63 (million)
% 0.82/0.87 % (2828)Success in time 0.483 s
% 0.82/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------