TSTP Solution File: GRP256-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP256-1 : 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 : n032.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 May 1 02:28:17 EDT 2024
% Result : Unsatisfiable 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 48
% Syntax : Number of formulae : 169 ( 4 unt; 0 def)
% Number of atoms : 504 ( 204 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 650 ( 315 ~; 315 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1262,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f91,f92,f104,f105,f106,f107,f108,f115,f116,f117,f118,f119,f126,f127,f128,f129,f130,f137,f138,f139,f140,f141,f157,f160,f181,f185,f196,f254,f263,f309,f453,f974,f983,f1044,f1238,f1261]) ).
fof(f1261,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1259]) ).
fof(f1259,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f1255,f1057]) ).
fof(f1057,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_21 ),
inference(forward_demodulation,[],[f70,f176]) ).
fof(f176,plain,
( sk_c9 = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl0_21
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1255,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1246]) ).
fof(f1246,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_21 ),
inference(superposition,[],[f1240,f1058]) ).
fof(f1058,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f65,f176]) ).
fof(f65,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_4
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1240,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1239,f176]) ).
fof(f1239,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f150,f176]) ).
fof(f150,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_16
<=> ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1238,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1236]) ).
fof(f1236,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1232,f1057]) ).
fof(f1232,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1223]) ).
fof(f1223,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_21 ),
inference(superposition,[],[f1082,f1058]) ).
fof(f1082,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f147,f176]) ).
fof(f147,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_15
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1044,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1043,f175,f152,f132,f121,f110,f99,f110]) ).
fof(f99,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f110,plain,
( spl0_11
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f121,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f152,plain,
( spl0_17
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1043,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1042,f516]) ).
fof(f516,plain,
( sk_c2 = sk_c3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f506,f505]) ).
fof(f505,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f494,f257]) ).
fof(f257,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f112]) ).
fof(f112,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',left_inverse) ).
fof(f494,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f490,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',left_identity) ).
fof(f490,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(identity,X0))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(superposition,[],[f3,f485]) ).
fof(f485,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f484,f257]) ).
fof(f484,plain,
( identity = multiply(sk_c9,multiply(sk_c9,sk_c2))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f482,f176]) ).
fof(f482,plain,
( identity = multiply(sk_c9,multiply(sk_c8,sk_c2))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f268,f439]) ).
fof(f439,plain,
( multiply(sk_c2,identity) = multiply(sk_c8,sk_c2)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f261,f257]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c9,X0))
| ~ spl0_10 ),
inference(superposition,[],[f3,f101]) ).
fof(f101,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f268,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f267,f1]) ).
fof(f267,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f257]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',associativity) ).
fof(f506,plain,
( identity = sk_c3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f494,f458]) ).
fof(f458,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f258,f176]) ).
fof(f258,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1042,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1041]) ).
fof(f1041,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1027,f176]) ).
fof(f1027,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f1006,f134]) ).
fof(f134,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f1006,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1005,f176]) ).
fof(f1005,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c8 != inverse(X7) )
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f153,f176]) ).
fof(f153,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f983,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f982,f189,f175,f110,f99,f110]) ).
fof(f189,plain,
( spl0_22
<=> sk_c9 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f982,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_21
| spl0_22 ),
inference(forward_demodulation,[],[f191,f505]) ).
fof(f191,plain,
( sk_c9 != inverse(identity)
| spl0_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f974,plain,
( ~ spl0_11
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f936,f175,f155,f110,f110]) ).
fof(f155,plain,
( spl0_18
<=> ! [X9] :
( sk_c9 != inverse(X9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f936,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f932]) ).
fof(f932,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c2)
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f454,f268]) ).
fof(f454,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f156,f176]) ).
fof(f156,plain,
( ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f453,plain,
( spl0_21
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f449,f132,f121,f110,f99,f175]) ).
fof(f449,plain,
( sk_c9 = sk_c8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f101,f444]) ).
fof(f444,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f436,f283]) ).
fof(f283,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f270,f134]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f269,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f258]) ).
fof(f436,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f261,f279]) ).
fof(f279,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f268,f101]) ).
fof(f309,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f293,f143,f49,f88]) ).
fof(f88,plain,
( spl0_9
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f49,plain,
( spl0_1
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f143,plain,
( spl0_14
<=> ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f293,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f290]) ).
fof(f290,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f144,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f144,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f263,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f262,f146,f99,f110]) ).
fof(f262,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f260]) ).
fof(f260,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f147,f101]) ).
fof(f254,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f251,f83,f78,f73,f175]) ).
fof(f73,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f78,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f83,plain,
( spl0_8
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f251,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f75,f244]) ).
fof(f244,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f227,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f227,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f217,f1]) ).
fof(f217,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f201]) ).
fof(f201,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f75,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f196,plain,
( ~ spl0_22
| ~ spl0_21
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f195,f149,f175,f189]) ).
fof(f195,plain,
( sk_c9 != sk_c8
| sk_c9 != inverse(identity)
| ~ spl0_16 ),
inference(inner_rewriting,[],[f193]) ).
fof(f193,plain,
( sk_c9 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_16 ),
inference(superposition,[],[f150,f1]) ).
fof(f185,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f184,f155,f83,f78,f73]) ).
fof(f184,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f183,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f182,f85]) ).
fof(f182,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != inverse(sk_c6)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f156,f80]) ).
fof(f181,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f180,f152,f63,f68]) ).
fof(f180,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f179]) ).
fof(f179,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_17 ),
inference(superposition,[],[f153,f65]) ).
fof(f160,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f159,f143,f53,f58]) ).
fof(f58,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f53,plain,
( spl0_2
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f159,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f158]) ).
fof(f158,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f144,f55]) ).
fof(f55,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f157,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_14
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f155,f152,f143,f149,f146,f143]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(X9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c9 != inverse(X9)
| multiply(X9,sk_c9) != X8
| sk_c8 != multiply(sk_c9,X8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_43) ).
fof(f141,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f83,f132]) ).
fof(f45,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_42) ).
fof(f140,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f44,f78,f132]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_41) ).
fof(f139,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f73,f132]) ).
fof(f43,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_40) ).
fof(f138,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f68,f132]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_39) ).
fof(f137,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f41,f63,f132]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_38) ).
fof(f130,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f38,f83,f121]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_35) ).
fof(f129,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f78,f121]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_34) ).
fof(f128,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f73,f121]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_33) ).
fof(f127,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f68,f121]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_32) ).
fof(f126,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f34,f63,f121]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_31) ).
fof(f119,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f83,f110]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_28) ).
fof(f118,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f78,f110]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_27) ).
fof(f117,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f73,f110]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_26) ).
fof(f116,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f68,f110]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_25) ).
fof(f115,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f63,f110]) ).
fof(f27,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_24) ).
fof(f108,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f83,f99]) ).
fof(f24,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_21) ).
fof(f107,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f78,f99]) ).
fof(f23,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_20) ).
fof(f106,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f73,f99]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_19) ).
fof(f105,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f68,f99]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_18) ).
fof(f104,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f20,f63,f99]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_17) ).
fof(f92,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f58,f88]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_9) ).
fof(f91,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f53,f88]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_8) ).
fof(f61,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f58,f49]) ).
fof(f5,axiom,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_2) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f53,f49]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.Ms6STb32Gb/Vampire---4.8_1086',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.09 % 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
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 18:34:06 EDT 2024
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.30 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.Ms6STb32Gb/Vampire---4.8_1086
% 0.53/0.71 % (1339)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.53/0.71 % (1342)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)
% 0.53/0.71 % (1337)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)
% 0.53/0.71 % (1343)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)
% 0.53/0.71 % (1340)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)
% 0.53/0.71 % (1338)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)
% 0.53/0.71 % (1341)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)
% 0.53/0.71 % (1344)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)
% 0.53/0.72 % (1337)Refutation not found, incomplete strategy% (1337)------------------------------
% 0.53/0.72 % (1337)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.72 % (1337)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (1337)Memory used [KB]: 1023
% 0.53/0.72 % (1337)Time elapsed: 0.004 s
% 0.53/0.72 % (1337)Instructions burned: 5 (million)
% 0.53/0.72 % (1340)Refutation not found, incomplete strategy% (1340)------------------------------
% 0.53/0.72 % (1340)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.72 % (1340)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (1340)Memory used [KB]: 1007
% 0.53/0.72 % (1340)Time elapsed: 0.004 s
% 0.53/0.72 % (1340)Instructions burned: 5 (million)
% 0.53/0.72 % (1340)------------------------------
% 0.53/0.72 % (1340)------------------------------
% 0.53/0.72 % (1337)------------------------------
% 0.53/0.72 % (1337)------------------------------
% 0.53/0.72 % (1344)Refutation not found, incomplete strategy% (1344)------------------------------
% 0.53/0.72 % (1344)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.72 % (1344)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (1344)Memory used [KB]: 1025
% 0.53/0.72 % (1344)Time elapsed: 0.004 s
% 0.53/0.72 % (1344)Instructions burned: 4 (million)
% 0.53/0.72 % (1344)------------------------------
% 0.53/0.72 % (1344)------------------------------
% 0.53/0.72 % (1341)Refutation not found, incomplete strategy% (1341)------------------------------
% 0.53/0.72 % (1341)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.72 % (1341)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (1341)Memory used [KB]: 1104
% 0.53/0.72 % (1341)Time elapsed: 0.004 s
% 0.53/0.72 % (1341)Instructions burned: 5 (million)
% 0.53/0.72 % (1341)------------------------------
% 0.53/0.72 % (1341)------------------------------
% 0.53/0.72 % (1345)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)
% 0.53/0.72 % (1347)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)
% 0.53/0.72 % (1346)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)
% 0.53/0.72 % (1348)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)
% 0.53/0.72 % (1346)Refutation not found, incomplete strategy% (1346)------------------------------
% 0.53/0.72 % (1346)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.72 % (1346)Termination reason: Refutation not found, incomplete strategy
% 0.53/0.72
% 0.53/0.72 % (1346)Memory used [KB]: 998
% 0.53/0.72 % (1346)Time elapsed: 0.005 s
% 0.53/0.72 % (1346)Instructions burned: 7 (million)
% 0.53/0.72 % (1346)------------------------------
% 0.53/0.72 % (1346)------------------------------
% 0.53/0.73 % (1349)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)
% 0.53/0.73 % (1342)Instruction limit reached!
% 0.53/0.73 % (1342)------------------------------
% 0.53/0.73 % (1342)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.73 % (1342)Termination reason: Unknown
% 0.53/0.73 % (1342)Termination phase: Saturation
% 0.53/0.73
% 0.53/0.73 % (1342)Memory used [KB]: 1571
% 0.53/0.73 % (1342)Time elapsed: 0.022 s
% 0.53/0.73 % (1342)Instructions burned: 46 (million)
% 0.53/0.73 % (1342)------------------------------
% 0.53/0.73 % (1342)------------------------------
% 0.53/0.73 % (1338)First to succeed.
% 0.53/0.74 % (1350)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)
% 0.53/0.74 % (1338)Refutation found. Thanks to Tanya!
% 0.53/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.53/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74 % (1338)------------------------------
% 0.53/0.74 % (1338)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (1338)Termination reason: Refutation
% 0.53/0.74
% 0.53/0.74 % (1338)Memory used [KB]: 1382
% 0.53/0.74 % (1338)Time elapsed: 0.025 s
% 0.53/0.74 % (1338)Instructions burned: 42 (million)
% 0.53/0.74 % (1338)------------------------------
% 0.53/0.74 % (1338)------------------------------
% 0.53/0.74 % (1260)Success in time 0.433 s
% 0.53/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------