TSTP Solution File: GRP252-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP252-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 02:28:16 EDT 2024
% Result : Unsatisfiable 0.66s 0.84s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 49
% Syntax : Number of formulae : 174 ( 4 unt; 0 def)
% Number of atoms : 499 ( 202 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 624 ( 299 ~; 304 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f717,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f61,f76,f81,f86,f91,f92,f95,f96,f97,f107,f108,f118,f119,f126,f127,f128,f129,f130,f137,f138,f139,f140,f141,f157,f160,f191,f204,f209,f281,f318,f426,f445,f448,f450,f472,f579,f662,f696,f716]) ).
fof(f716,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f714]) ).
fof(f714,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f710,f590]) ).
fof(f590,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f70,f168]) ).
fof(f168,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
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(f710,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f703]) ).
fof(f703,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f697,f591]) ).
fof(f591,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f65,f168]) ).
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(f697,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f147,f168]) ).
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(f696,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f695]) ).
fof(f695,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f694]) ).
fof(f694,plain,
( sk_c9 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f690,f590]) ).
fof(f690,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f683]) ).
fof(f683,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f672,f591]) ).
fof(f672,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f150,f168]) ).
fof(f150,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_16
<=> ! [X5] :
( sk_c9 != multiply(X5,sk_c8)
| sk_c9 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f662,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f656,f167,f146,f132,f121]) ).
fof(f121,plain,
( spl0_12
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f132,plain,
( spl0_13
<=> sk_c9 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f656,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f655,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f587,f461]) ).
fof(f461,plain,
( sk_c9 = multiply(sk_c3,sk_c9)
| ~ spl0_13
| ~ spl0_20 ),
inference(superposition,[],[f134,f168]) ).
fof(f134,plain,
( sk_c9 = multiply(sk_c3,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f587,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f147,f168]) ).
fof(f579,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20
| spl0_23 ),
inference(avatar_split_clause,[],[f578,f197,f167,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(f197,plain,
( spl0_23
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f578,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20
| spl0_23 ),
inference(forward_demodulation,[],[f474,f535]) ).
fof(f535,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f526,f284]) ).
fof(f284,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.lqh2HAlL45/Vampire---4.8_10796',left_inverse) ).
fof(f526,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(superposition,[],[f292,f505]) ).
fof(f505,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f504,f292]) ).
fof(f504,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_10
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f493,f168]) ).
fof(f493,plain,
( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f287,f292]) ).
fof(f287,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(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',associativity) ).
fof(f292,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f291,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',left_identity) ).
fof(f291,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f284]) ).
fof(f474,plain,
( sk_c9 != inverse(identity)
| ~ spl0_20
| spl0_23 ),
inference(forward_demodulation,[],[f199,f168]) ).
fof(f199,plain,
( sk_c8 != inverse(identity)
| spl0_23 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f472,plain,
( ~ spl0_20
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_24 ),
inference(avatar_split_clause,[],[f471,f201,f167,f132,f121,f167]) ).
fof(f201,plain,
( spl0_24
<=> sk_c9 = multiply(sk_c8,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f471,plain,
( sk_c9 != sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_24 ),
inference(superposition,[],[f462,f304]) ).
fof(f304,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f294,f134]) ).
fof(f294,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
| ~ spl0_12 ),
inference(forward_demodulation,[],[f293,f1]) ).
fof(f293,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl0_12 ),
inference(superposition,[],[f3,f285]) ).
fof(f285,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f123]) ).
fof(f123,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f462,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_20
| spl0_24 ),
inference(superposition,[],[f203,f168]) ).
fof(f203,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| spl0_24 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f450,plain,
( ~ spl0_20
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f295,f83,f78,f73,f167]) ).
fof(f73,plain,
( spl0_6
<=> sk_c9 = multiply(sk_c8,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f78,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f83,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f295,plain,
( sk_c9 != sk_c8
| spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f74,f278]) ).
fof(f278,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f258,f80]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f258,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f213]) ).
fof(f213,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f2,f85]) ).
fof(f85,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f74,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f448,plain,
( ~ spl0_20
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f437,f152,f132,f121,f167]) ).
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(f437,plain,
( sk_c9 != sk_c8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f433,f123]) ).
fof(f433,plain,
( sk_c8 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f432]) ).
fof(f432,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_17 ),
inference(superposition,[],[f153,f134]) ).
fof(f153,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f445,plain,
( spl0_20
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f444,f132,f121,f88,f49,f167]) ).
fof(f49,plain,
( spl0_1
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f88,plain,
( spl0_9
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f444,plain,
( sk_c9 = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f443,f51]) ).
fof(f51,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f443,plain,
( multiply(sk_c1,sk_c10) = sk_c8
| ~ spl0_1
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f440,f304]) ).
fof(f440,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f286,f297]) ).
fof(f297,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f290,f51]) ).
fof(f290,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f289,f1]) ).
fof(f289,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f283]) ).
fof(f283,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f90]) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f286,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f51]) ).
fof(f426,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f419,f143,f49,f88]) ).
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(f419,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f418]) ).
fof(f418,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_14 ),
inference(superposition,[],[f144,f51]) ).
fof(f144,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f318,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f315,f149,f132,f121]) ).
fof(f315,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f150,f134]) ).
fof(f281,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f280,f83,f78,f73,f167]) ).
fof(f280,plain,
( sk_c9 = sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f278,f75]) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c8,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f209,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f208,f155,f83,f78,f73]) ).
fof(f155,plain,
( spl0_18
<=> ! [X9] :
( sk_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f208,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( sk_c8 != sk_c8
| sk_c9 != multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f195,f85]) ).
fof(f195,plain,
( sk_c9 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c6)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f156,f80]) ).
fof(f156,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != inverse(X9) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f204,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f193,f155,f201,f197]) ).
fof(f193,plain,
( sk_c9 != multiply(sk_c8,sk_c8)
| sk_c8 != inverse(identity)
| ~ spl0_18 ),
inference(superposition,[],[f156,f1]) ).
fof(f191,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f188,f152,f63,f68]) ).
fof(f188,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_4
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f186]) ).
fof(f186,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_c8 != inverse(X9)
| sk_c9 != multiply(sk_c8,multiply(X9,sk_c8))
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != 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_c8 != inverse(X9)
| multiply(X9,sk_c8) != X8
| sk_c9 != multiply(sk_c8,X8)
| sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X5,sk_c8)
| sk_c9 != 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.lqh2HAlL45/Vampire---4.8_10796',prove_this_43) ).
fof(f141,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f45,f83,f132]) ).
fof(f45,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c8)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_41) ).
fof(f139,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f43,f73,f132]) ).
fof(f43,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c9 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_38) ).
fof(f130,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f38,f83,f121]) ).
fof(f38,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_34) ).
fof(f128,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f36,f73,f121]) ).
fof(f36,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_31) ).
fof(f119,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f83,f110]) ).
fof(f31,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_27) ).
fof(f108,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f83,f99]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',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_c8)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_20) ).
fof(f97,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f83,f88]) ).
fof(f17,axiom,
( sk_c8 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_14) ).
fof(f96,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f78,f88]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_13) ).
fof(f95,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f73,f88]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_12) ).
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.lqh2HAlL45/Vampire---4.8_10796',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.lqh2HAlL45/Vampire---4.8_10796',prove_this_8) ).
fof(f86,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f83,f49]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_7) ).
fof(f81,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f78,f49]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c6,sk_c8)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_6) ).
fof(f76,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f73,f49]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c8,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796',prove_this_5) ).
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.lqh2HAlL45/Vampire---4.8_10796',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.lqh2HAlL45/Vampire---4.8_10796',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP252-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 18:21:41 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.lqh2HAlL45/Vampire---4.8_10796
% 0.66/0.82 % (11017)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.82 % (11019)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)
% 0.66/0.82 % (11015)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)
% 0.66/0.82 % (11016)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)
% 0.66/0.82 % (11018)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)
% 0.66/0.82 % (11020)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)
% 0.66/0.82 % (11021)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)
% 0.66/0.82 % (11022)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)
% 0.66/0.82 % (11015)Refutation not found, incomplete strategy% (11015)------------------------------
% 0.66/0.82 % (11015)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (11019)Refutation not found, incomplete strategy% (11019)------------------------------
% 0.66/0.82 % (11019)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (11019)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (11019)Memory used [KB]: 1105
% 0.66/0.82 % (11019)Time elapsed: 0.004 s
% 0.66/0.82 % (11019)Instructions burned: 5 (million)
% 0.66/0.82 % (11019)------------------------------
% 0.66/0.82 % (11019)------------------------------
% 0.66/0.82 % (11018)Refutation not found, incomplete strategy% (11018)------------------------------
% 0.66/0.82 % (11018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (11018)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (11018)Memory used [KB]: 1006
% 0.66/0.82 % (11018)Time elapsed: 0.004 s
% 0.66/0.82 % (11018)Instructions burned: 4 (million)
% 0.66/0.82 % (11018)------------------------------
% 0.66/0.82 % (11018)------------------------------
% 0.66/0.82 % (11015)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (11015)Memory used [KB]: 1023
% 0.66/0.82 % (11015)Time elapsed: 0.004 s
% 0.66/0.82 % (11015)Instructions burned: 5 (million)
% 0.66/0.82 % (11015)------------------------------
% 0.66/0.82 % (11015)------------------------------
% 0.66/0.82 % (11022)Refutation not found, incomplete strategy% (11022)------------------------------
% 0.66/0.82 % (11022)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82 % (11022)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82
% 0.66/0.82 % (11022)Memory used [KB]: 1025
% 0.66/0.82 % (11022)Time elapsed: 0.004 s
% 0.66/0.82 % (11022)Instructions burned: 4 (million)
% 0.66/0.82 % (11022)------------------------------
% 0.66/0.82 % (11022)------------------------------
% 0.66/0.83 % (11026)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)
% 0.66/0.83 % (11025)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)
% 0.66/0.83 % (11028)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)
% 0.66/0.83 % (11029)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)
% 0.66/0.83 % (11026)Refutation not found, incomplete strategy% (11026)------------------------------
% 0.66/0.83 % (11026)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83 % (11026)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83
% 0.66/0.83 % (11026)Memory used [KB]: 998
% 0.66/0.83 % (11026)Time elapsed: 0.005 s
% 0.66/0.83 % (11026)Instructions burned: 7 (million)
% 0.66/0.83 % (11026)------------------------------
% 0.66/0.83 % (11026)------------------------------
% 0.66/0.83 % (11031)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)
% 0.66/0.83 % (11016)First to succeed.
% 0.66/0.84 % (11016)Refutation found. Thanks to Tanya!
% 0.66/0.84 % SZS status Unsatisfiable for Vampire---4
% 0.66/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.84 % (11016)------------------------------
% 0.66/0.84 % (11016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84 % (11016)Termination reason: Refutation
% 0.66/0.84
% 0.66/0.84 % (11016)Memory used [KB]: 1205
% 0.66/0.84 % (11016)Time elapsed: 0.018 s
% 0.66/0.84 % (11016)Instructions burned: 27 (million)
% 0.66/0.84 % (11016)------------------------------
% 0.66/0.84 % (11016)------------------------------
% 0.66/0.84 % (10949)Success in time 0.47 s
% 0.66/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------