TSTP Solution File: GRP372-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP372-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 16:15:34 EDT 2022
% Result : Unsatisfiable 1.54s 0.62s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 62
% Syntax : Number of formulae : 293 ( 29 unt; 0 def)
% Number of atoms : 1075 ( 364 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1498 ( 716 ~; 767 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1147,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f108,f113,f118,f123,f128,f129,f134,f135,f140,f145,f146,f147,f148,f149,f155,f156,f157,f158,f159,f160,f162,f163,f165,f166,f167,f168,f169,f170,f180,f181,f182,f265,f345,f400,f417,f450,f627,f691,f1122,f1135,f1146]) ).
fof(f1146,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f1145]) ).
fof(f1145,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f1144,f1072]) ).
fof(f1072,plain,
( identity = inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1071,f1046]) ).
fof(f1046,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f1036,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f1036,plain,
( sk_c8 = multiply(inverse(identity),identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f487,f1029]) ).
fof(f1029,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f1026,f485]) ).
fof(f485,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f191,f122]) ).
fof(f122,plain,
( sk_c7 = sF9
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl12_7
<=> sk_c7 = sF9 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f191,plain,
identity = multiply(sF9,sk_c8),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
inverse(sk_c8) = sF9,
introduced(function_definition,[]) ).
fof(f1026,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f473,f1022]) ).
fof(f1022,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f565,f481]) ).
fof(f481,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_6
| ~ spl12_9 ),
inference(forward_demodulation,[],[f480,f133]) ).
fof(f133,plain,
( sk_c8 = sF11
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl12_9
<=> sk_c8 = sF11 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f480,plain,
( sk_c8 = multiply(sF11,sk_c7)
| ~ spl12_6 ),
inference(forward_demodulation,[],[f281,f117]) ).
fof(f117,plain,
( sk_c7 = sF7
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl12_6
<=> sk_c7 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f281,plain,
sk_c8 = multiply(sF11,sF7),
inference(forward_demodulation,[],[f243,f66]) ).
fof(f66,plain,
inverse(sk_c1) = sF11,
introduced(function_definition,[]) ).
fof(f243,plain,
sk_c8 = multiply(inverse(sk_c1),sF7),
inference(superposition,[],[f206,f52]) ).
fof(f52,plain,
multiply(sk_c1,sk_c8) = sF7,
introduced(function_definition,[]) ).
fof(f206,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f198,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f565,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl12_1
| ~ spl12_7
| ~ spl12_10 ),
inference(forward_demodulation,[],[f474,f491]) ).
fof(f491,plain,
( sk_c8 = sk_c2
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f464,f487]) ).
fof(f464,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f245,f139]) ).
fof(f139,plain,
( sk_c7 = sF3
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl12_10
<=> sk_c7 = sF3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f245,plain,
sk_c2 = multiply(inverse(sF3),identity),
inference(superposition,[],[f206,f195]) ).
fof(f195,plain,
identity = multiply(sF3,sk_c2),
inference(superposition,[],[f2,f46]) ).
fof(f46,plain,
inverse(sk_c2) = sF3,
introduced(function_definition,[]) ).
fof(f474,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl12_1 ),
inference(backward_demodulation,[],[f43,f94]) ).
fof(f94,plain,
( sk_c6 = sF1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl12_1
<=> sk_c6 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f43,plain,
multiply(sk_c2,sk_c7) = sF1,
introduced(function_definition,[]) ).
fof(f473,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl12_1
| ~ spl12_10 ),
inference(backward_demodulation,[],[f468,f94]) ).
fof(f468,plain,
( sk_c7 = multiply(sk_c7,sF1)
| ~ spl12_10 ),
inference(forward_demodulation,[],[f338,f139]) ).
fof(f338,plain,
sk_c7 = multiply(sF3,sF1),
inference(forward_demodulation,[],[f244,f46]) ).
fof(f244,plain,
sk_c7 = multiply(inverse(sk_c2),sF1),
inference(superposition,[],[f206,f43]) ).
fof(f487,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl12_7 ),
inference(backward_demodulation,[],[f246,f122]) ).
fof(f246,plain,
sk_c8 = multiply(inverse(sF9),identity),
inference(superposition,[],[f206,f191]) ).
fof(f1071,plain,
( identity = inverse(sk_c8)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f496,f1029]) ).
fof(f496,plain,
( inverse(sk_c8) = sk_c7
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f467,f491]) ).
fof(f467,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl12_10 ),
inference(backward_demodulation,[],[f46,f139]) ).
fof(f1144,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1143,f1072]) ).
fof(f1143,plain,
( identity != inverse(inverse(identity))
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f1141,f1]) ).
fof(f1141,plain,
( identity != inverse(inverse(identity))
| identity != multiply(identity,identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(superposition,[],[f1138,f2]) ).
fof(f1138,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1137,f1029]) ).
fof(f1137,plain,
( ! [X7] :
( sk_c7 != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1136,f1046]) ).
fof(f1136,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_15 ),
inference(forward_demodulation,[],[f179,f1046]) ).
fof(f179,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8)) )
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl12_15
<=> ! [X7] :
( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f1135,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f1129,f1072]) ).
fof(f1129,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f1126]) ).
fof(f1126,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(superposition,[],[f1125,f1]) ).
fof(f1125,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1124,f1050]) ).
fof(f1050,plain,
( identity = sk_c6
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f1022,f1046]) ).
fof(f1124,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f1123,f1029]) ).
fof(f1123,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_14 ),
inference(forward_demodulation,[],[f176,f1029]) ).
fof(f176,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl12_14
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f1122,plain,
( ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f1121]) ).
fof(f1121,plain,
( $false
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f1116,f1072]) ).
fof(f1116,plain,
( identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f1113]) ).
fof(f1113,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(superposition,[],[f1100,f1]) ).
fof(f1100,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1099,f1029]) ).
fof(f1099,plain,
( ! [X3] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f1098,f1046]) ).
fof(f1098,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| identity != inverse(X3) )
| ~ spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f173,f1046]) ).
fof(f173,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f172,plain,
( spl12_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f691,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f690]) ).
fof(f690,plain,
( $false
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f689,f649]) ).
fof(f649,plain,
( identity != sk_c8
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f463,f641]) ).
fof(f641,plain,
( identity = sk_c7
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f636,f485]) ).
fof(f636,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f473,f635]) ).
fof(f635,plain,
( sk_c8 = sk_c6
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f565,f632]) ).
fof(f632,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9 ),
inference(backward_demodulation,[],[f250,f631]) ).
fof(f631,plain,
( sk_c7 = sk_c5
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9 ),
inference(backward_demodulation,[],[f187,f630]) ).
fof(f630,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl12_5
| ~ spl12_6
| ~ spl12_9 ),
inference(forward_demodulation,[],[f471,f624]) ).
fof(f624,plain,
( sk_c4 = sk_c1
| ~ spl12_5
| ~ spl12_9 ),
inference(backward_demodulation,[],[f455,f268]) ).
fof(f268,plain,
( sk_c4 = multiply(sF9,identity)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f240,f56]) ).
fof(f240,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl12_5 ),
inference(superposition,[],[f206,f193]) ).
fof(f193,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl12_5 ),
inference(superposition,[],[f2,f186]) ).
fof(f186,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl12_5 ),
inference(backward_demodulation,[],[f42,f112]) ).
fof(f112,plain,
( sk_c8 = sF0
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl12_5
<=> sk_c8 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f42,plain,
inverse(sk_c4) = sF0,
introduced(function_definition,[]) ).
fof(f455,plain,
( sk_c1 = multiply(sF9,identity)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f451,f56]) ).
fof(f451,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl12_9 ),
inference(backward_demodulation,[],[f247,f133]) ).
fof(f247,plain,
sk_c1 = multiply(inverse(sF11),identity),
inference(superposition,[],[f206,f194]) ).
fof(f194,plain,
identity = multiply(sF11,sk_c1),
inference(superposition,[],[f2,f66]) ).
fof(f471,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl12_6 ),
inference(forward_demodulation,[],[f52,f117]) ).
fof(f187,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl12_3 ),
inference(backward_demodulation,[],[f51,f103]) ).
fof(f103,plain,
( sk_c5 = sF6
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl12_3
<=> sk_c5 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f51,plain,
multiply(sk_c4,sk_c8) = sF6,
introduced(function_definition,[]) ).
fof(f250,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl12_3
| ~ spl12_5 ),
inference(forward_demodulation,[],[f242,f186]) ).
fof(f242,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c5)
| ~ spl12_3 ),
inference(superposition,[],[f206,f187]) ).
fof(f463,plain,
( sk_c8 != sk_c7
| ~ spl12_3
| ~ spl12_5
| spl12_8 ),
inference(backward_demodulation,[],[f126,f462]) ).
fof(f462,plain,
( sk_c8 = sF4
| ~ spl12_3
| ~ spl12_5 ),
inference(forward_demodulation,[],[f48,f250]) ).
fof(f48,plain,
multiply(sk_c8,sk_c5) = sF4,
introduced(function_definition,[]) ).
fof(f126,plain,
( sk_c7 != sF4
| spl12_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl12_8
<=> sk_c7 = sF4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f689,plain,
( identity = sk_c8
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f655,f685]) ).
fof(f685,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f680,f1]) ).
fof(f680,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f211,f678]) ).
fof(f678,plain,
( identity = sk_c4
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f677,f1]) ).
fof(f677,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f268,f676]) ).
fof(f676,plain,
( identity = sF9
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(forward_demodulation,[],[f122,f641]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl12_5 ),
inference(forward_demodulation,[],[f210,f1]) ).
fof(f210,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl12_5 ),
inference(superposition,[],[f3,f193]) ).
fof(f655,plain,
( sk_c8 = multiply(sk_c8,identity)
| ~ spl12_1
| ~ spl12_3
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7
| ~ spl12_9
| ~ spl12_10 ),
inference(backward_demodulation,[],[f632,f641]) ).
fof(f627,plain,
( spl12_2
| ~ spl12_1
| ~ spl12_7
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f626,f137,f120,f92,f96]) ).
fof(f96,plain,
( spl12_2
<=> sk_c6 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f626,plain,
( sk_c6 = sF2
| ~ spl12_1
| ~ spl12_7
| ~ spl12_10 ),
inference(backward_demodulation,[],[f45,f565]) ).
fof(f45,plain,
multiply(sk_c8,sk_c7) = sF2,
introduced(function_definition,[]) ).
fof(f450,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f448,f321]) ).
fof(f321,plain,
( identity = inverse(identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f290,f316]) ).
fof(f316,plain,
( identity = sk_c3
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f267,f314]) ).
fof(f314,plain,
( ! [X0] : multiply(sF9,X0) = X0
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f232,f287]) ).
fof(f287,plain,
( sF9 = inverse(identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f56,f285]) ).
fof(f285,plain,
( identity = sk_c8
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f275,f284]) ).
fof(f284,plain,
( identity = sk_c5
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8 ),
inference(forward_demodulation,[],[f283,f2]) ).
fof(f283,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c8)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8 ),
inference(forward_demodulation,[],[f239,f251]) ).
fof(f251,plain,
( sk_c8 = sk_c7
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8 ),
inference(backward_demodulation,[],[f185,f250]) ).
fof(f185,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl12_8 ),
inference(backward_demodulation,[],[f48,f127]) ).
fof(f127,plain,
( sk_c7 = sF4
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f239,plain,
( sk_c5 = multiply(inverse(sk_c8),sk_c7)
| ~ spl12_8 ),
inference(superposition,[],[f206,f185]) ).
fof(f275,plain,
( sk_c8 = sk_c5
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f273,f256]) ).
fof(f256,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11 ),
inference(backward_demodulation,[],[f188,f251]) ).
fof(f188,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl12_11 ),
inference(backward_demodulation,[],[f54,f144]) ).
fof(f144,plain,
( sk_c7 = sF8
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f142,plain,
( spl12_11
<=> sk_c7 = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f54,plain,
multiply(sk_c3,sk_c8) = sF8,
introduced(function_definition,[]) ).
fof(f273,plain,
( multiply(sk_c3,sk_c8) = sk_c5
| ~ spl12_3
| ~ spl12_5
| ~ spl12_12 ),
inference(backward_demodulation,[],[f187,f269]) ).
fof(f269,plain,
( sk_c3 = sk_c4
| ~ spl12_5
| ~ spl12_12 ),
inference(forward_demodulation,[],[f268,f267]) ).
fof(f232,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f206,f1]) ).
fof(f267,plain,
( sk_c3 = multiply(sF9,identity)
| ~ spl12_12 ),
inference(forward_demodulation,[],[f238,f56]) ).
fof(f238,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl12_12 ),
inference(superposition,[],[f206,f192]) ).
fof(f192,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl12_12 ),
inference(superposition,[],[f2,f190]) ).
fof(f190,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl12_12 ),
inference(backward_demodulation,[],[f59,f154]) ).
fof(f154,plain,
( sk_c8 = sF10
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl12_12
<=> sk_c8 = sF10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f59,plain,
inverse(sk_c3) = sF10,
introduced(function_definition,[]) ).
fof(f290,plain,
( identity = inverse(sk_c3)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f190,f285]) ).
fof(f448,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f447,f321]) ).
fof(f447,plain,
( identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(subsumption_resolution,[],[f423,f1]) ).
fof(f423,plain,
( identity != multiply(identity,identity)
| identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(superposition,[],[f420,f2]) ).
fof(f420,plain,
( ! [X7] :
( identity != multiply(identity,multiply(X7,identity))
| identity != inverse(X7) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f419,f299]) ).
fof(f299,plain,
( identity = sk_c7
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f251,f285]) ).
fof(f419,plain,
( ! [X7] :
( identity != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f418,f285]) ).
fof(f418,plain,
( ! [X7] :
( sk_c8 != inverse(X7)
| sk_c7 != multiply(identity,multiply(X7,identity)) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_15 ),
inference(forward_demodulation,[],[f179,f285]) ).
fof(f417,plain,
( ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f409,f321]) ).
fof(f409,plain,
( identity != inverse(identity)
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(trivial_inequality_removal,[],[f404]) ).
fof(f404,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f403,f1]) ).
fof(f403,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f402,f299]) ).
fof(f402,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f401,f296]) ).
fof(f296,plain,
( identity = sk_c6
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f220,f285]) ).
fof(f220,plain,
( sk_c8 = sk_c6
| ~ spl12_2
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f189,f218]) ).
fof(f218,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl12_11
| ~ spl12_12 ),
inference(superposition,[],[f209,f188]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl12_12 ),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f208,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl12_12 ),
inference(superposition,[],[f3,f192]) ).
fof(f189,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl12_2 ),
inference(backward_demodulation,[],[f45,f98]) ).
fof(f98,plain,
( sk_c6 = sF2
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f401,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_demodulation,[],[f176,f299]) ).
fof(f400,plain,
( ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f399,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f398,f321]) ).
fof(f398,plain,
( identity != inverse(identity)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f376,f321]) ).
fof(f376,plain,
( identity != inverse(inverse(identity))
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(trivial_inequality_removal,[],[f373]) ).
fof(f373,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(superposition,[],[f349,f2]) ).
fof(f349,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f348,f299]) ).
fof(f348,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,identity) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f347,f285]) ).
fof(f347,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(forward_demodulation,[],[f173,f285]) ).
fof(f345,plain,
( ~ spl12_3
| ~ spl12_5
| spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f344,plain,
( $false
| ~ spl12_3
| ~ spl12_5
| spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f343,f299]) ).
fof(f343,plain,
( identity != sk_c7
| ~ spl12_3
| ~ spl12_5
| spl12_7
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(forward_demodulation,[],[f121,f322]) ).
fof(f322,plain,
( identity = sF9
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f287,f321]) ).
fof(f121,plain,
( sk_c7 != sF9
| spl12_7 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f265,plain,
( ~ spl12_2
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl12_2
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(subsumption_resolution,[],[f263,f253]) ).
fof(f253,plain,
( sk_c8 != sF5
| ~ spl12_3
| spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(backward_demodulation,[],[f106,f251]) ).
fof(f106,plain,
( sk_c7 != sF5
| spl12_4 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl12_4
<=> sk_c7 = sF5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f263,plain,
( sk_c8 = sF5
| ~ spl12_2
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f224,f260]) ).
fof(f260,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl12_3
| ~ spl12_5
| ~ spl12_8
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f218,f251]) ).
fof(f224,plain,
( multiply(sk_c8,sk_c8) = sF5
| ~ spl12_2
| ~ spl12_11
| ~ spl12_12 ),
inference(backward_demodulation,[],[f49,f220]) ).
fof(f49,plain,
multiply(sk_c8,sk_c6) = sF5,
introduced(function_definition,[]) ).
fof(f182,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f74,f125,f120]) ).
fof(f74,plain,
( sk_c7 = sF4
| sk_c7 = sF9 ),
inference(definition_folding,[],[f7,f48,f56]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f181,plain,
( spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f75,f131,f125]) ).
fof(f75,plain,
( sk_c8 = sF11
| sk_c7 = sF4 ),
inference(definition_folding,[],[f19,f48,f66]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f180,plain,
( ~ spl12_2
| spl12_13
| ~ spl12_4
| spl12_14
| spl12_13
| spl12_15
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f83,f120,f178,f172,f175,f105,f172,f96]) ).
fof(f83,plain,
! [X3,X7,X4,X5] :
( sk_c7 != sF9
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != sF5
| sk_c7 != multiply(X5,sk_c8)
| sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8)
| sk_c6 != sF2
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X7) ),
inference(definition_folding,[],[f41,f49,f56,f45]) ).
fof(f41,plain,
! [X3,X7,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X7) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X6,X7,X4,X5] :
( multiply(sk_c8,sk_c7) != sk_c6
| inverse(sk_c8) != sk_c7
| multiply(X7,sk_c8) != X6
| sk_c7 != multiply(X5,sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != multiply(sk_c8,X6)
| sk_c8 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f170,plain,
( spl12_5
| spl12_9 ),
inference(avatar_split_clause,[],[f80,f131,f110]) ).
fof(f80,plain,
( sk_c8 = sF11
| sk_c8 = sF0 ),
inference(definition_folding,[],[f21,f66,f42]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f169,plain,
( spl12_3
| spl12_10 ),
inference(avatar_split_clause,[],[f90,f137,f101]) ).
fof(f90,plain,
( sk_c7 = sF3
| sk_c5 = sF6 ),
inference(definition_folding,[],[f38,f51,f46]) ).
fof(f38,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f168,plain,
( spl12_10
| spl12_5 ),
inference(avatar_split_clause,[],[f85,f110,f137]) ).
fof(f85,plain,
( sk_c8 = sF0
| sk_c7 = sF3 ),
inference(definition_folding,[],[f39,f46,f42]) ).
fof(f39,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f167,plain,
( spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f53,f115,f101]) ).
fof(f53,plain,
( sk_c7 = sF7
| sk_c5 = sF6 ),
inference(definition_folding,[],[f14,f52,f51]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f166,plain,
( spl12_4
| spl12_12 ),
inference(avatar_split_clause,[],[f63,f152,f105]) ).
fof(f63,plain,
( sk_c8 = sF10
| sk_c7 = sF5 ),
inference(definition_folding,[],[f24,f49,f59]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f165,plain,
( spl12_3
| spl12_7 ),
inference(avatar_split_clause,[],[f58,f120,f101]) ).
fof(f58,plain,
( sk_c7 = sF9
| sk_c5 = sF6 ),
inference(definition_folding,[],[f8,f56,f51]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f163,plain,
( spl12_8
| spl12_1 ),
inference(avatar_split_clause,[],[f86,f92,f125]) ).
fof(f86,plain,
( sk_c6 = sF1
| sk_c7 = sF4 ),
inference(definition_folding,[],[f31,f48,f43]) ).
fof(f31,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f162,plain,
( spl12_6
| spl12_11 ),
inference(avatar_split_clause,[],[f65,f142,f115]) ).
fof(f65,plain,
( sk_c7 = sF8
| sk_c7 = sF7 ),
inference(definition_folding,[],[f11,f54,f52]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f160,plain,
( spl12_10
| spl12_12 ),
inference(avatar_split_clause,[],[f88,f152,f137]) ).
fof(f88,plain,
( sk_c8 = sF10
| sk_c7 = sF3 ),
inference(definition_folding,[],[f36,f59,f46]) ).
fof(f36,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f159,plain,
( spl12_9
| spl12_12 ),
inference(avatar_split_clause,[],[f67,f152,f131]) ).
fof(f67,plain,
( sk_c8 = sF10
| sk_c8 = sF11 ),
inference(definition_folding,[],[f18,f59,f66]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f158,plain,
( spl12_12
| spl12_1 ),
inference(avatar_split_clause,[],[f87,f92,f152]) ).
fof(f87,plain,
( sk_c6 = sF1
| sk_c8 = sF10 ),
inference(definition_folding,[],[f30,f59,f43]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f157,plain,
( spl12_11
| spl12_1 ),
inference(avatar_split_clause,[],[f55,f92,f142]) ).
fof(f55,plain,
( sk_c6 = sF1
| sk_c7 = sF8 ),
inference(definition_folding,[],[f29,f54,f43]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f156,plain,
( spl12_6
| spl12_12 ),
inference(avatar_split_clause,[],[f76,f152,f115]) ).
fof(f76,plain,
( sk_c8 = sF10
| sk_c7 = sF7 ),
inference(definition_folding,[],[f12,f59,f52]) ).
fof(f12,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f155,plain,
( spl12_12
| spl12_7 ),
inference(avatar_split_clause,[],[f60,f120,f152]) ).
fof(f60,plain,
( sk_c7 = sF9
| sk_c8 = sF10 ),
inference(definition_folding,[],[f6,f56,f59]) ).
fof(f6,axiom,
( sk_c8 = inverse(sk_c3)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f149,plain,
( spl12_8
| spl12_10 ),
inference(avatar_split_clause,[],[f77,f137,f125]) ).
fof(f77,plain,
( sk_c7 = sF3
| sk_c7 = sF4 ),
inference(definition_folding,[],[f37,f48,f46]) ).
fof(f37,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f148,plain,
( spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f68,f142,f137]) ).
fof(f68,plain,
( sk_c7 = sF8
| sk_c7 = sF3 ),
inference(definition_folding,[],[f35,f46,f54]) ).
fof(f35,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f147,plain,
( spl12_4
| spl12_11 ),
inference(avatar_split_clause,[],[f84,f142,f105]) ).
fof(f84,plain,
( sk_c7 = sF8
| sk_c7 = sF5 ),
inference(definition_folding,[],[f23,f54,f49]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f146,plain,
( spl12_7
| spl12_11 ),
inference(avatar_split_clause,[],[f57,f142,f120]) ).
fof(f57,plain,
( sk_c7 = sF8
| sk_c7 = sF9 ),
inference(definition_folding,[],[f5,f54,f56]) ).
fof(f5,axiom,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f145,plain,
( spl12_11
| spl12_9 ),
inference(avatar_split_clause,[],[f73,f131,f142]) ).
fof(f73,plain,
( sk_c8 = sF11
| sk_c7 = sF8 ),
inference(definition_folding,[],[f17,f66,f54]) ).
fof(f17,axiom,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f140,plain,
( spl12_10
| spl12_2 ),
inference(avatar_split_clause,[],[f47,f96,f137]) ).
fof(f47,plain,
( sk_c6 = sF2
| sk_c7 = sF3 ),
inference(definition_folding,[],[f34,f46,f45]) ).
fof(f34,axiom,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f135,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f79,f101,f92]) ).
fof(f79,plain,
( sk_c5 = sF6
| sk_c6 = sF1 ),
inference(definition_folding,[],[f32,f43,f51]) ).
fof(f32,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f134,plain,
( spl12_9
| spl12_3 ),
inference(avatar_split_clause,[],[f72,f101,f131]) ).
fof(f72,plain,
( sk_c5 = sF6
| sk_c8 = sF11 ),
inference(definition_folding,[],[f20,f66,f51]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f129,plain,
( spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f44,f110,f92]) ).
fof(f44,plain,
( sk_c8 = sF0
| sk_c6 = sF1 ),
inference(definition_folding,[],[f33,f43,f42]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f128,plain,
( spl12_6
| spl12_8 ),
inference(avatar_split_clause,[],[f62,f125,f115]) ).
fof(f62,plain,
( sk_c7 = sF4
| sk_c7 = sF7 ),
inference(definition_folding,[],[f13,f52,f48]) ).
fof(f13,axiom,
( sk_c7 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f123,plain,
( spl12_7
| spl12_5 ),
inference(avatar_split_clause,[],[f71,f110,f120]) ).
fof(f71,plain,
( sk_c8 = sF0
| sk_c7 = sF9 ),
inference(definition_folding,[],[f9,f42,f56]) ).
fof(f9,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f118,plain,
( spl12_6
| spl12_5 ),
inference(avatar_split_clause,[],[f61,f110,f115]) ).
fof(f61,plain,
( sk_c8 = sF0
| sk_c7 = sF7 ),
inference(definition_folding,[],[f15,f42,f52]) ).
fof(f15,axiom,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f113,plain,
( spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f78,f110,f105]) ).
fof(f78,plain,
( sk_c8 = sF0
| sk_c7 = sF5 ),
inference(definition_folding,[],[f27,f42,f49]) ).
fof(f27,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f108,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f89,f105,f101]) ).
fof(f89,plain,
( sk_c7 = sF5
| sk_c5 = sF6 ),
inference(definition_folding,[],[f26,f49,f51]) ).
fof(f26,axiom,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f99,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f69,f96,f92]) ).
fof(f69,plain,
( sk_c6 = sF2
| sk_c6 = sF1 ),
inference(definition_folding,[],[f28,f45,f43]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GRP372-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:50:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.53 % (6399)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (6410)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.36/0.54 % (6418)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.36/0.55 % (6402)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.36/0.55 % (6407)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.36/0.55 % (6402)Instruction limit reached!
% 1.36/0.55 % (6402)------------------------------
% 1.36/0.55 % (6402)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.36/0.55 % (6399)Refutation not found, incomplete strategy% (6399)------------------------------
% 1.36/0.55 % (6399)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6403)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.54/0.56 % (6396)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.54/0.56 % (6415)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.54/0.56 % (6402)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6402)Termination reason: Unknown
% 1.54/0.56 % (6402)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56 % (6402)Memory used [KB]: 5884
% 1.54/0.56 % (6402)Time elapsed: 0.111 s
% 1.54/0.56 % (6402)Instructions burned: 6 (million)
% 1.54/0.56 % (6402)------------------------------
% 1.54/0.56 % (6402)------------------------------
% 1.54/0.56 % (6415)Refutation not found, incomplete strategy% (6415)------------------------------
% 1.54/0.56 % (6415)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6415)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6415)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56
% 1.54/0.56 % (6415)Memory used [KB]: 5884
% 1.54/0.56 % (6415)Time elapsed: 0.133 s
% 1.54/0.56 % (6415)Instructions burned: 3 (million)
% 1.54/0.56 % (6415)------------------------------
% 1.54/0.56 % (6415)------------------------------
% 1.54/0.56 % (6399)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6399)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56
% 1.54/0.56 % (6399)Memory used [KB]: 6012
% 1.54/0.56 % (6399)Time elapsed: 0.121 s
% 1.54/0.56 % (6399)Instructions burned: 7 (million)
% 1.54/0.56 % (6399)------------------------------
% 1.54/0.56 % (6399)------------------------------
% 1.54/0.56 % (6396)Refutation not found, incomplete strategy% (6396)------------------------------
% 1.54/0.56 % (6396)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6396)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6396)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.56
% 1.54/0.56 % (6396)Memory used [KB]: 6012
% 1.54/0.56 % (6396)Time elapsed: 0.136 s
% 1.54/0.56 % (6396)Instructions burned: 5 (million)
% 1.54/0.56 % (6396)------------------------------
% 1.54/0.56 % (6396)------------------------------
% 1.54/0.56 % (6401)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.54/0.56 % (6412)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.54/0.56 % (6405)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.56 % (6407)Instruction limit reached!
% 1.54/0.56 % (6407)------------------------------
% 1.54/0.56 % (6407)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6407)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6407)Termination reason: Unknown
% 1.54/0.56 % (6407)Termination phase: Finite model building preprocessing
% 1.54/0.56
% 1.54/0.56 % (6407)Memory used [KB]: 1407
% 1.54/0.56 % (6407)Time elapsed: 0.004 s
% 1.54/0.56 % (6407)Instructions burned: 6 (million)
% 1.54/0.56 % (6407)------------------------------
% 1.54/0.56 % (6407)------------------------------
% 1.54/0.56 % (6412)Instruction limit reached!
% 1.54/0.56 % (6412)------------------------------
% 1.54/0.56 % (6412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6405)Instruction limit reached!
% 1.54/0.56 % (6405)------------------------------
% 1.54/0.56 % (6405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (6412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (6412)Termination reason: Unknown
% 1.54/0.56 % (6405)Termination reason: Unknown
% 1.54/0.56 % (6412)Termination phase: Saturation
% 1.54/0.56 % (6405)Termination phase: Saturation
% 1.54/0.56
% 1.54/0.56
% 1.54/0.56 % (6412)Memory used [KB]: 1407
% 1.54/0.56 % (6405)Memory used [KB]: 5884
% 1.54/0.56 % (6412)Time elapsed: 0.151 s
% 1.54/0.56 % (6405)Time elapsed: 0.004 s
% 1.54/0.56 % (6412)Instructions burned: 6 (million)
% 1.54/0.56 % (6405)Instructions burned: 4 (million)
% 1.54/0.56 % (6412)------------------------------
% 1.54/0.56 % (6412)------------------------------
% 1.54/0.56 % (6405)------------------------------
% 1.54/0.56 % (6405)------------------------------
% 1.54/0.56 % (6411)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.54/0.57 % (6392)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.54/0.57 % (6414)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.54/0.57 % (6400)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.54/0.57 % (6411)Instruction limit reached!
% 1.54/0.57 % (6411)------------------------------
% 1.54/0.57 % (6411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (6411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (6411)Termination reason: Unknown
% 1.54/0.57 % (6411)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (6411)Memory used [KB]: 6012
% 1.54/0.57 % (6411)Time elapsed: 0.155 s
% 1.54/0.57 % (6411)Instructions burned: 8 (million)
% 1.54/0.57 % (6411)------------------------------
% 1.54/0.57 % (6411)------------------------------
% 1.54/0.57 % (6420)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.54/0.57 % (6400)Instruction limit reached!
% 1.54/0.57 % (6400)------------------------------
% 1.54/0.57 % (6400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (6400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (6400)Termination reason: Unknown
% 1.54/0.57 % (6400)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (6400)Memory used [KB]: 5884
% 1.54/0.57 % (6400)Time elapsed: 0.142 s
% 1.54/0.57 % (6400)Instructions burned: 4 (million)
% 1.54/0.57 % (6400)------------------------------
% 1.54/0.57 % (6400)------------------------------
% 1.54/0.57 % (6404)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.54/0.57 % (6394)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.54/0.57 % (6421)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.54/0.57 % (6409)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.54/0.57 % (6406)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.54/0.57 % (6408)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.57 % (6408)Instruction limit reached!
% 1.54/0.57 % (6408)------------------------------
% 1.54/0.57 % (6408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (6408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (6408)Termination reason: Unknown
% 1.54/0.57 % (6408)Termination phase: Saturation
% 1.54/0.57
% 1.54/0.57 % (6408)Memory used [KB]: 5884
% 1.54/0.57 % (6408)Time elapsed: 0.002 s
% 1.54/0.57 % (6408)Instructions burned: 3 (million)
% 1.54/0.57 % (6408)------------------------------
% 1.54/0.57 % (6408)------------------------------
% 1.54/0.57 % (6420)Refutation not found, incomplete strategy% (6420)------------------------------
% 1.54/0.57 % (6420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (6409)Instruction limit reached!
% 1.54/0.57 % (6409)------------------------------
% 1.54/0.57 % (6409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.57 % (6420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.57 % (6420)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.57
% 1.54/0.57 % (6397)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.54/0.57 % (6420)Memory used [KB]: 5884
% 1.54/0.57 % (6420)Time elapsed: 0.162 s
% 1.54/0.57 % (6420)Instructions burned: 4 (million)
% 1.54/0.57 % (6420)------------------------------
% 1.54/0.57 % (6420)------------------------------
% 1.54/0.57 % (6419)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.54/0.58 % (6416)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 1.54/0.58 % (6394)Instruction limit reached!
% 1.54/0.58 % (6394)------------------------------
% 1.54/0.58 % (6394)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (6409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (6409)Termination reason: Unknown
% 1.54/0.58 % (6409)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (6409)Memory used [KB]: 6012
% 1.54/0.58 % (6409)Time elapsed: 0.118 s
% 1.54/0.58 % (6409)Instructions burned: 9 (million)
% 1.54/0.58 % (6409)------------------------------
% 1.54/0.58 % (6409)------------------------------
% 1.54/0.58 % (6394)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (6394)Termination reason: Unknown
% 1.54/0.58 % (6394)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (6394)Memory used [KB]: 5884
% 1.54/0.58 % (6394)Time elapsed: 0.122 s
% 1.54/0.58 % (6394)Instructions burned: 6 (million)
% 1.54/0.58 % (6394)------------------------------
% 1.54/0.58 % (6394)------------------------------
% 1.54/0.58 % (6413)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 1.54/0.58 % (6417)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.54/0.58 % (6413)Refutation not found, incomplete strategy% (6413)------------------------------
% 1.54/0.58 % (6413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (6413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (6413)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.58
% 1.54/0.58 % (6413)Memory used [KB]: 5884
% 1.54/0.58 % (6413)Time elapsed: 0.162 s
% 1.54/0.58 % (6413)Instructions burned: 4 (million)
% 1.54/0.58 % (6413)------------------------------
% 1.54/0.58 % (6413)------------------------------
% 1.54/0.58 % (6398)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.54/0.59 % (6393)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.54/0.59 % (6410)Refutation not found, incomplete strategy% (6410)------------------------------
% 1.54/0.59 % (6410)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (6410)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (6410)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.59
% 1.54/0.59 % (6410)Memory used [KB]: 10618
% 1.54/0.59 % (6410)Time elapsed: 0.134 s
% 1.54/0.59 % (6410)Instructions burned: 20 (million)
% 1.54/0.59 % (6410)------------------------------
% 1.54/0.59 % (6410)------------------------------
% 1.54/0.59 % (6404)Instruction limit reached!
% 1.54/0.59 % (6404)------------------------------
% 1.54/0.59 % (6404)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (6404)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (6404)Termination reason: Unknown
% 1.54/0.59 % (6404)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (6404)Memory used [KB]: 6012
% 1.54/0.59 % (6404)Time elapsed: 0.145 s
% 1.54/0.59 % (6404)Instructions burned: 6 (million)
% 1.54/0.59 % (6404)------------------------------
% 1.54/0.59 % (6404)------------------------------
% 1.54/0.59 % (6395)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.54/0.59 % (6395)Refutation not found, incomplete strategy% (6395)------------------------------
% 1.54/0.59 % (6395)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (6395)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (6395)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.59
% 1.54/0.59 % (6395)Memory used [KB]: 5884
% 1.54/0.59 % (6395)Time elapsed: 0.165 s
% 1.54/0.59 % (6395)Instructions burned: 3 (million)
% 1.54/0.59 % (6395)------------------------------
% 1.54/0.59 % (6395)------------------------------
% 1.54/0.59 % (6403)Instruction limit reached!
% 1.54/0.59 % (6403)------------------------------
% 1.54/0.59 % (6403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (6403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (6403)Termination reason: Unknown
% 1.54/0.59 % (6403)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (6403)Memory used [KB]: 6396
% 1.54/0.59 % (6403)Time elapsed: 0.166 s
% 1.54/0.59 % (6403)Instructions burned: 24 (million)
% 1.54/0.59 % (6403)------------------------------
% 1.54/0.59 % (6403)------------------------------
% 1.54/0.60 % (6397)Instruction limit reached!
% 1.54/0.60 % (6397)------------------------------
% 1.54/0.60 % (6397)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (6397)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (6397)Termination reason: Unknown
% 1.54/0.60 % (6397)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (6397)Memory used [KB]: 6140
% 1.54/0.60 % (6397)Time elapsed: 0.168 s
% 1.54/0.60 % (6397)Instructions burned: 25 (million)
% 1.54/0.60 % (6397)------------------------------
% 1.54/0.60 % (6397)------------------------------
% 1.54/0.60 % (6401)Instruction limit reached!
% 1.54/0.60 % (6401)------------------------------
% 1.54/0.60 % (6401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (6401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (6401)Termination reason: Unknown
% 1.54/0.60 % (6401)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (6401)Memory used [KB]: 7164
% 1.54/0.60 % (6401)Time elapsed: 0.128 s
% 1.54/0.60 % (6401)Instructions burned: 52 (million)
% 1.54/0.60 % (6401)------------------------------
% 1.54/0.60 % (6401)------------------------------
% 1.54/0.61 % (6392)First to succeed.
% 1.54/0.62 % (6418)Instruction limit reached!
% 1.54/0.62 % (6418)------------------------------
% 1.54/0.62 % (6418)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (6406)Instruction limit reached!
% 1.54/0.62 % (6406)------------------------------
% 1.54/0.62 % (6406)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (6406)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (6406)Termination reason: Unknown
% 1.54/0.62 % (6406)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (6406)Memory used [KB]: 1663
% 1.54/0.62 % (6406)Time elapsed: 0.183 s
% 1.54/0.62 % (6406)Instructions burned: 30 (million)
% 1.54/0.62 % (6406)------------------------------
% 1.54/0.62 % (6406)------------------------------
% 1.54/0.62 % (6392)Refutation found. Thanks to Tanya!
% 1.54/0.62 % SZS status Unsatisfiable for theBenchmark
% 1.54/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.54/0.63 % (6392)------------------------------
% 1.54/0.63 % (6392)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.63 % (6392)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.63 % (6392)Termination reason: Refutation
% 1.54/0.63
% 1.54/0.63 % (6392)Memory used [KB]: 6396
% 1.54/0.63 % (6392)Time elapsed: 0.173 s
% 1.54/0.63 % (6392)Instructions burned: 34 (million)
% 1.54/0.63 % (6392)------------------------------
% 1.54/0.63 % (6392)------------------------------
% 1.54/0.63 % (6391)Success in time 0.26 s
%------------------------------------------------------------------------------