TSTP Solution File: GRP265-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP265-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 02:28:19 EDT 2024
% Result : Unsatisfiable 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 49
% Syntax : Number of formulae : 184 ( 4 unt; 0 def)
% Number of atoms : 528 ( 201 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 644 ( 300 ~; 323 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f821,plain,
$false,
inference(avatar_sat_refutation,[],[f42,f47,f52,f57,f62,f67,f72,f77,f78,f79,f80,f81,f82,f83,f92,f93,f94,f99,f100,f101,f102,f103,f104,f105,f118,f121,f131,f137,f138,f155,f160,f222,f276,f316,f326,f617,f675,f677,f701,f777,f818]) ).
fof(f818,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl0_16
| ~ spl0_17
| spl0_20 ),
inference(trivial_inequality_removal,[],[f813]) ).
fof(f813,plain,
( sk_c8 != sk_c8
| ~ spl0_16
| ~ spl0_17
| spl0_20 ),
inference(superposition,[],[f781,f805]) ).
fof(f805,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f802,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',left_identity) ).
fof(f802,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_16 ),
inference(superposition,[],[f3,f792]) ).
fof(f792,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_16 ),
inference(superposition,[],[f2,f125]) ).
fof(f125,plain,
( sk_c8 = inverse(identity)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_16
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',associativity) ).
fof(f781,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_17
| spl0_20 ),
inference(forward_demodulation,[],[f154,f129]) ).
fof(f129,plain,
( sk_c8 = sk_c7
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl0_17
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f154,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| spl0_20 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl0_20
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f777,plain,
( ~ spl0_37
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f771,f140,f128,f124,f69,f64,f54,f628]) ).
fof(f628,plain,
( spl0_37
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f54,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f64,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f69,plain,
( spl0_8
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f140,plain,
( spl0_18
<=> sk_c8 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f771,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f126,f753]) ).
fof(f753,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f736,f636]) ).
fof(f636,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f163,f129]) ).
fof(f163,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_5 ),
inference(superposition,[],[f2,f56]) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f736,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f735,f1]) ).
fof(f735,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f732,f716]) ).
fof(f716,plain,
( ! [X0] : multiply(sk_c5,X0) = X0
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f713,f639]) ).
fof(f639,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f190,f129]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f182,f1]) ).
fof(f182,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f163]) ).
fof(f713,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f396,f141]) ).
fof(f141,plain,
( sk_c8 = sk_c6
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f184,f190]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_7 ),
inference(superposition,[],[f3,f66]) ).
fof(f66,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f732,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f3,f718]) ).
fof(f718,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f2,f707]) ).
fof(f707,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_8
| ~ spl0_17 ),
inference(forward_demodulation,[],[f71,f129]) ).
fof(f71,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f126,plain,
( sk_c8 != inverse(identity)
| spl0_16 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f701,plain,
( ~ spl0_17
| ~ spl0_5
| spl0_37 ),
inference(avatar_split_clause,[],[f699,f628,f54,f128]) ).
fof(f699,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| spl0_37 ),
inference(superposition,[],[f630,f56]) ).
fof(f630,plain,
( sk_c8 != inverse(sk_c4)
| spl0_37 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f677,plain,
( ~ spl0_17
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f676,f148,f96,f74,f35,f128]) ).
fof(f35,plain,
( spl0_1
<=> multiply(sk_c1,sk_c9) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f74,plain,
( spl0_9
<=> sk_c9 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f96,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f148,plain,
( spl0_19
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f676,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| spl0_19 ),
inference(forward_demodulation,[],[f669,f98]) ).
fof(f98,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f669,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| spl0_19 ),
inference(superposition,[],[f150,f602]) ).
fof(f602,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f596,f208]) ).
fof(f208,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_11 ),
inference(superposition,[],[f2,f98]) ).
fof(f596,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f594,f1]) ).
fof(f594,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f3,f590]) ).
fof(f590,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f589,f208]) ).
fof(f589,plain,
( multiply(sk_c8,sk_c2) = multiply(sk_c8,identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f587,f209]) ).
fof(f209,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f37]) ).
fof(f37,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f587,plain,
( multiply(sk_c8,identity) = multiply(sk_c1,multiply(sk_c9,sk_c2))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f209,f562]) ).
fof(f562,plain,
( multiply(sk_c9,identity) = multiply(sk_c9,sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f246,f208]) ).
fof(f246,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f3,f243]) ).
fof(f243,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f212,f37]) ).
fof(f212,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f211,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f207]) ).
fof(f207,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_9 ),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f150,plain,
( sk_c7 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f675,plain,
( ~ spl0_11
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f668,f124,f96,f74,f35,f96]) ).
fof(f668,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| spl0_16 ),
inference(superposition,[],[f126,f602]) ).
fof(f617,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f609,f96,f85,f74,f35,f128]) ).
fof(f85,plain,
( spl0_10
<=> sk_c7 = multiply(sk_c2,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f609,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f247,f596]) ).
fof(f247,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f214,f87]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f213,f1]) ).
fof(f213,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f208]) ).
fof(f326,plain,
( ~ spl0_11
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f324,f128,f124,f96,f54,f49,f96]) ).
fof(f49,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f324,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f126,f308]) ).
fof(f308,plain,
( identity = sk_c2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f298,f208]) ).
fof(f298,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f229,f289]) ).
fof(f289,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_17 ),
inference(forward_demodulation,[],[f282,f229]) ).
fof(f282,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f180,f190]) ).
fof(f180,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f51]) ).
fof(f51,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f190,f129]) ).
fof(f316,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f312,f128,f59,f54,f49,f140]) ).
fof(f59,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f312,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f225,f298]) ).
fof(f225,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_6
| ~ spl0_17 ),
inference(superposition,[],[f61,f129]) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f276,plain,
( ~ spl0_9
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f265,f107,f35,f74]) ).
fof(f107,plain,
( spl0_12
<=> ! [X3] :
( sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f265,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f108,f37]) ).
fof(f108,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f222,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f221,f69,f64,f59,f128]) ).
fof(f221,plain,
( sk_c8 = sk_c7
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f219,f61]) ).
fof(f219,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f191,f66]) ).
fof(f191,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f183,f1]) ).
fof(f183,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f164]) ).
fof(f164,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f160,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f159,f116,f69,f64,f59]) ).
fof(f116,plain,
( spl0_15
<=> ! [X8] :
( sk_c7 != inverse(X8)
| sk_c8 != multiply(sk_c7,multiply(X8,sk_c7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f159,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f158]) ).
fof(f158,plain,
( sk_c7 != sk_c7
| sk_c8 != multiply(sk_c7,sk_c6)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_15 ),
inference(forward_demodulation,[],[f146,f71]) ).
fof(f146,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| sk_c7 != inverse(sk_c5)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f117,f66]) ).
fof(f117,plain,
( ! [X8] :
( sk_c8 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c7 != inverse(X8) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f155,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f144,f116,f152,f148]) ).
fof(f144,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c7 != inverse(identity)
| ~ spl0_15 ),
inference(superposition,[],[f117,f1]) ).
fof(f138,plain,
( ~ spl0_5
| ~ spl0_4
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f135,f113,f49,f54]) ).
fof(f113,plain,
( spl0_14
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f135,plain,
( sk_c7 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f133,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f114,f51]) ).
fof(f114,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f137,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f136,f113,f128,f124]) ).
fof(f136,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_14 ),
inference(inner_rewriting,[],[f132]) ).
fof(f132,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(identity)
| ~ spl0_14 ),
inference(superposition,[],[f114,f1]) ).
fof(f131,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f122,f110,f128,f124]) ).
fof(f110,plain,
( spl0_13
<=> ! [X4] :
( sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f122,plain,
( sk_c8 != sk_c7
| sk_c8 != inverse(identity)
| ~ spl0_13 ),
inference(superposition,[],[f111,f1]) ).
fof(f111,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f121,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f120,f107,f39,f44]) ).
fof(f44,plain,
( spl0_3
<=> sk_c9 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f39,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f120,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f119]) ).
fof(f119,plain,
( sk_c8 != sk_c8
| sk_c9 != inverse(sk_c3)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f108,f41]) ).
fof(f41,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f118,plain,
( spl0_12
| spl0_13
| spl0_12
| spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f33,f116,f113,f107,f110,f107]) ).
fof(f33,plain,
! [X3,X8,X6,X4,X5] :
( sk_c7 != inverse(X8)
| sk_c8 != multiply(sk_c7,multiply(X8,sk_c7))
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ),
inference(equality_resolution,[],[f32]) ).
fof(f32,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c7 != inverse(X8)
| multiply(X8,sk_c7) != X7
| sk_c8 != multiply(sk_c7,X7)
| sk_c7 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7)
| sk_c9 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(X3,sk_c9) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_29) ).
fof(f105,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f69,f96]) ).
fof(f31,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_28) ).
fof(f104,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f30,f64,f96]) ).
fof(f30,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_27) ).
fof(f103,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f59,f96]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_26) ).
fof(f102,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f54,f96]) ).
fof(f28,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_25) ).
fof(f101,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f27,f49,f96]) ).
fof(f27,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_24) ).
fof(f100,plain,
( spl0_11
| spl0_3 ),
inference(avatar_split_clause,[],[f26,f44,f96]) ).
fof(f26,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_23) ).
fof(f99,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f39,f96]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_22) ).
fof(f94,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f69,f85]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_21) ).
fof(f93,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f23,f64,f85]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_20) ).
fof(f92,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f59,f85]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c8) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_19) ).
fof(f83,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f17,f69,f74]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_14) ).
fof(f82,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f64,f74]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_13) ).
fof(f81,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f59,f74]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_12) ).
fof(f80,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f54,f74]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_11) ).
fof(f79,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f13,f49,f74]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_10) ).
fof(f78,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f12,f44,f74]) ).
fof(f12,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_9) ).
fof(f77,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f11,f39,f74]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_8) ).
fof(f72,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f10,f69,f35]) ).
fof(f10,axiom,
( sk_c7 = inverse(sk_c5)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_7) ).
fof(f67,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f9,f64,f35]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_6) ).
fof(f62,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f59,f35]) ).
fof(f8,axiom,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_5) ).
fof(f57,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f54,f35]) ).
fof(f7,axiom,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_4) ).
fof(f52,plain,
( spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f49,f35]) ).
fof(f6,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_3) ).
fof(f47,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f5,f44,f35]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c3)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_2) ).
fof(f42,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f4,f39,f35]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307',prove_this_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP265-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n002.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 18:41:10 EDT 2024
% 0.23/0.37 % CPUTime :
% 0.23/0.37 This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.23/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.UycEHW0IjB/Vampire---4.8_17307
% 0.58/0.76 % (17559)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 (2996ds/83Mi)
% 0.58/0.76 % (17553)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 (2996ds/34Mi)
% 0.58/0.76 % (17556)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.76 % (17558)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.76 % (17555)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.76 % (17560)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 (2996ds/56Mi)
% 0.58/0.76 % (17554)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 (2996ds/51Mi)
% 0.61/0.76 % (17556)Refutation not found, incomplete strategy% (17556)------------------------------
% 0.61/0.76 % (17556)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (17553)Refutation not found, incomplete strategy% (17553)------------------------------
% 0.61/0.76 % (17553)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (17553)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (17553)Memory used [KB]: 1012
% 0.61/0.76 % (17553)Time elapsed: 0.004 s
% 0.61/0.76 % (17553)Instructions burned: 4 (million)
% 0.61/0.76 % (17553)------------------------------
% 0.61/0.76 % (17553)------------------------------
% 0.61/0.76 % (17556)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (17556)Memory used [KB]: 997
% 0.61/0.76 % (17556)Time elapsed: 0.004 s
% 0.61/0.76 % (17556)Instructions burned: 4 (million)
% 0.61/0.76 % (17556)------------------------------
% 0.61/0.76 % (17556)------------------------------
% 0.61/0.76 % (17560)Refutation not found, incomplete strategy% (17560)------------------------------
% 0.61/0.76 % (17560)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (17560)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (17560)Memory used [KB]: 998
% 0.61/0.76 % (17560)Time elapsed: 0.003 s
% 0.61/0.76 % (17560)Instructions burned: 4 (million)
% 0.61/0.76 % (17560)------------------------------
% 0.61/0.76 % (17560)------------------------------
% 0.61/0.76 % (17557)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 (2996ds/34Mi)
% 0.61/0.76 % (17557)Refutation not found, incomplete strategy% (17557)------------------------------
% 0.61/0.76 % (17557)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76 % (17557)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (17557)Memory used [KB]: 1013
% 0.61/0.76 % (17557)Time elapsed: 0.004 s
% 0.61/0.76 % (17557)Instructions burned: 4 (million)
% 0.61/0.76 % (17557)------------------------------
% 0.61/0.76 % (17557)------------------------------
% 0.61/0.76 % (17561)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 (2996ds/55Mi)
% 0.61/0.76 % (17564)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 (2996ds/208Mi)
% 0.61/0.77 % (17562)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 (2996ds/50Mi)
% 0.61/0.77 % (17565)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 (2996ds/52Mi)
% 0.61/0.77 % (17562)Refutation not found, incomplete strategy% (17562)------------------------------
% 0.61/0.77 % (17562)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (17562)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (17562)Memory used [KB]: 990
% 0.61/0.77 % (17562)Time elapsed: 0.004 s
% 0.61/0.77 % (17562)Instructions burned: 5 (million)
% 0.61/0.77 % (17562)------------------------------
% 0.61/0.77 % (17562)------------------------------
% 0.61/0.77 % (17566)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 (2996ds/518Mi)
% 0.61/0.78 % (17554)First to succeed.
% 0.61/0.78 % (17554)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (17554)------------------------------
% 0.61/0.78 % (17554)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17554)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (17554)Memory used [KB]: 1289
% 0.61/0.78 % (17554)Time elapsed: 0.022 s
% 0.61/0.78 % (17554)Instructions burned: 32 (million)
% 0.61/0.78 % (17554)------------------------------
% 0.61/0.78 % (17554)------------------------------
% 0.61/0.78 % (17549)Success in time 0.403 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------