TSTP Solution File: GRP133-2.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 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 : n025.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 02:27:34 EDT 2024
% Result : Unsatisfiable 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 30
% Syntax : Number of formulae : 182 ( 10 unt; 0 def)
% Number of atoms : 580 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 661 ( 263 ~; 382 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 17 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f821,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f42,f50,f82,f84,f102,f172,f173,f179,f181,f213,f214,f217,f218,f246,f251,f366,f395,f409,f425,f458,f498,f500,f544,f557,f589,f592,f594,f598,f601,f702,f706,f708,f711,f785,f791,f820]) ).
fof(f820,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl0_7
| ~ spl0_8
| spl0_21 ),
inference(subsumption_resolution,[],[f813,f551]) ).
fof(f551,plain,
( ~ product(e_1,e_1,e_2)
| spl0_21 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl0_21
<=> product(e_1,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f813,plain,
( product(e_1,e_1,e_2)
| ~ spl0_7
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f101,f97,f20]) ).
fof(f20,axiom,
! [X0,X1,X6,X5] :
( ~ product(X0,X1,X5)
| ~ product(X1,X0,X6)
| product(X5,X6,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',qg3) ).
fof(f97,plain,
( product(e_3,e_2,e_1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl0_7
<=> product(e_3,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f101,plain,
( product(e_2,e_3,e_1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_8
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f791,plain,
( spl0_12
| spl0_11
| spl0_9
| ~ spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f790,f110,f48,f106,f115,f119]) ).
fof(f119,plain,
( spl0_12
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f115,plain,
( spl0_11
<=> product(e_3,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f106,plain,
( spl0_9
<=> product(e_3,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f48,plain,
( spl0_6
<=> ! [X0] :
( product(e_1,X0,e_2)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| ~ group_element(X0)
| product(e_1,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f110,plain,
( spl0_10
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f790,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| ~ spl0_6
| spl0_10 ),
inference(subsumption_resolution,[],[f545,f111]) ).
fof(f111,plain,
( ~ product(e_1,e_3,e_1)
| spl0_10 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f545,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f49,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',element_3) ).
fof(f49,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f785,plain,
( ~ spl0_1
| spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f784,plain,
( $false
| ~ spl0_1
| spl0_10
| spl0_12 ),
inference(subsumption_resolution,[],[f782,f738]) ).
fof(f738,plain,
( ~ product(e_1,e_3,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f11,f30,f19]) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product(X3,X1,X0)
| ~ product(X4,X1,X0)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',product_left_cancellation) ).
fof(f30,plain,
( product(e_3,e_3,e_3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> product(e_3,e_3,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_1_is_not_e_3) ).
fof(f782,plain,
( product(e_1,e_3,e_3)
| spl0_10
| spl0_12 ),
inference(unit_resulting_resolution,[],[f7,f9,f111,f120,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',product_total_function1) ).
fof(f120,plain,
( ~ product(e_1,e_3,e_2)
| spl0_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',element_1) ).
fof(f711,plain,
( spl0_9
| spl0_10
| ~ spl0_2
| spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f710,f119,f115,f32,f110,f106]) ).
fof(f32,plain,
( spl0_2
<=> ! [X0] :
( product(e_3,X0,e_2)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| ~ group_element(X0)
| product(e_3,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f710,plain,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_1)
| ~ spl0_2
| spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f709,f116]) ).
fof(f116,plain,
( ~ product(e_3,e_1,e_2)
| spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f709,plain,
( product(e_1,e_3,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ spl0_2
| spl0_12 ),
inference(subsumption_resolution,[],[f490,f120]) ).
fof(f490,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f33,f7]) ).
fof(f33,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f708,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f651,f99,f110]) ).
fof(f651,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_8 ),
inference(unit_resulting_resolution,[],[f10,f101,f19]) ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_1_is_not_e_2) ).
fof(f706,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(avatar_contradiction_clause,[],[f705]) ).
fof(f705,plain,
( $false
| spl0_7
| ~ spl0_8
| ~ spl0_9
| spl0_13 ),
inference(subsumption_resolution,[],[f676,f669]) ).
fof(f669,plain,
( product(e_3,e_1,e_3)
| spl0_7
| ~ spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f668,f9]) ).
fof(f668,plain,
( product(e_3,e_1,e_3)
| ~ group_element(e_3)
| spl0_7
| ~ spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f667,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',element_2) ).
fof(f667,plain,
( product(e_3,e_1,e_3)
| ~ group_element(e_2)
| ~ group_element(e_3)
| spl0_7
| ~ spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f666,f96]) ).
fof(f96,plain,
( ~ product(e_3,e_2,e_1)
| spl0_7 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f666,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_8
| spl0_13 ),
inference(subsumption_resolution,[],[f653,f125]) ).
fof(f125,plain,
( ~ product(e_3,e_2,e_2)
| spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f124,plain,
( spl0_13
<=> product(e_3,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f653,plain,
( product(e_3,e_1,e_3)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_8 ),
inference(resolution,[],[f101,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(e_3,X2,X1)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f20,f16]) ).
fof(f676,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f11,f108,f17]) ).
fof(f17,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X4)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',product_total_function2) ).
fof(f108,plain,
( product(e_3,e_1,e_1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f702,plain,
( ~ spl0_9
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f701]) ).
fof(f701,plain,
( $false
| ~ spl0_9
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f689,f556]) ).
fof(f556,plain,
( product(e_1,e_1,e_1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl0_22
<=> product(e_1,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f689,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_9 ),
inference(unit_resulting_resolution,[],[f14,f108,f19]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_3_is_not_e_1) ).
fof(f601,plain,
( spl0_13
| spl0_8
| ~ spl0_2
| spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f600,f128,f95,f32,f99,f124]) ).
fof(f128,plain,
( spl0_14
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f600,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_2)
| ~ spl0_2
| spl0_7
| spl0_14 ),
inference(subsumption_resolution,[],[f599,f96]) ).
fof(f599,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_2
| spl0_14 ),
inference(subsumption_resolution,[],[f489,f129]) ).
fof(f129,plain,
( ~ product(e_2,e_3,e_2)
| spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f489,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f33,f8]) ).
fof(f598,plain,
( spl0_8
| spl0_13
| ~ spl0_4
| spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f597,f128,f95,f40,f124,f99]) ).
fof(f40,plain,
( spl0_4
<=> ! [X0] :
( product(e_2,X0,e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f597,plain,
( product(e_3,e_2,e_2)
| product(e_2,e_3,e_1)
| ~ spl0_4
| spl0_7
| spl0_14 ),
inference(subsumption_resolution,[],[f504,f129]) ).
fof(f504,plain,
( product(e_3,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ spl0_4
| spl0_7 ),
inference(subsumption_resolution,[],[f331,f96]) ).
fof(f331,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f41,f9]) ).
fof(f41,plain,
( ! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f594,plain,
( spl0_3
| spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f491,f32,f44,f36]) ).
fof(f36,plain,
( spl0_3
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f44,plain,
( spl0_5
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f491,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f33,f9]) ).
fof(f592,plain,
( ~ spl0_21
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f570,f119,f550]) ).
fof(f570,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl0_12 ),
inference(unit_resulting_resolution,[],[f14,f121,f18]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product(X0,X3,X1)
| ~ product(X0,X4,X1)
| equalish(X3,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',product_right_cancellation) ).
fof(f121,plain,
( product(e_1,e_3,e_2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f589,plain,
( spl0_8
| spl0_9
| spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f588]) ).
fof(f588,plain,
( $false
| spl0_8
| spl0_9
| spl0_11
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f581,f562]) ).
fof(f562,plain,
( product(e_3,e_1,e_3)
| spl0_9
| spl0_11 ),
inference(unit_resulting_resolution,[],[f9,f7,f107,f116,f16]) ).
fof(f107,plain,
( ~ product(e_3,e_1,e_1)
| spl0_9 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f581,plain,
( ~ product(e_3,e_1,e_3)
| spl0_8
| ~ spl0_12 ),
inference(unit_resulting_resolution,[],[f100,f121,f20]) ).
fof(f100,plain,
( ~ product(e_2,e_3,e_1)
| spl0_8 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f557,plain,
( spl0_21
| spl0_22
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f548,f48,f554,f550]) ).
fof(f548,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f547]) ).
fof(f547,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f49,f7]) ).
fof(f544,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f543]) ).
fof(f543,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(subsumption_resolution,[],[f523,f126]) ).
fof(f126,plain,
( product(e_3,e_2,e_2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f523,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_11 ),
inference(unit_resulting_resolution,[],[f10,f117,f18]) ).
fof(f117,plain,
( product(e_3,e_1,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f500,plain,
( ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f383,f128,f119]) ).
fof(f383,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_14 ),
inference(unit_resulting_resolution,[],[f10,f130,f19]) ).
fof(f130,plain,
( product(e_2,e_3,e_2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f498,plain,
( spl0_7
| spl0_10
| ~ spl0_11
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f497,plain,
( $false
| spl0_7
| spl0_10
| ~ spl0_11
| spl0_12 ),
inference(subsumption_resolution,[],[f494,f117]) ).
fof(f494,plain,
( ~ product(e_3,e_1,e_2)
| spl0_7
| spl0_10
| spl0_12 ),
inference(unit_resulting_resolution,[],[f7,f9,f96,f120,f111,f21]) ).
fof(f458,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f457,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f438,f419]) ).
fof(f419,plain,
( product(e_2,e_2,e_1)
| ~ spl0_4
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f334,f373]) ).
fof(f373,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_14 ),
inference(unit_resulting_resolution,[],[f15,f130,f18]) ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_3_is_not_e_2) ).
fof(f334,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f332,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_1)
| ~ spl0_4 ),
inference(resolution,[],[f41,f8]) ).
fof(f438,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f15,f97,f19]) ).
fof(f425,plain,
( spl0_11
| ~ spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f424,f106,f28,f115]) ).
fof(f424,plain,
( product(e_3,e_1,e_2)
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f423,f9]) ).
fof(f423,plain,
( product(e_3,e_1,e_2)
| ~ group_element(e_3)
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f422,f7]) ).
fof(f422,plain,
( product(e_3,e_1,e_2)
| ~ group_element(e_1)
| ~ group_element(e_3)
| ~ spl0_1
| spl0_9 ),
inference(subsumption_resolution,[],[f354,f107]) ).
fof(f354,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3)
| ~ spl0_1 ),
inference(resolution,[],[f262,f16]) ).
fof(f262,plain,
( ~ product(e_3,e_1,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f11,f30,f18]) ).
fof(f409,plain,
( spl0_7
| spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f408,f28,f124,f95]) ).
fof(f408,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f407,f9]) ).
fof(f407,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_3)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f350,f8]) ).
fof(f350,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3)
| ~ spl0_1 ),
inference(resolution,[],[f261,f16]) ).
fof(f261,plain,
( ~ product(e_3,e_2,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f13,f30,f18]) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_2_is_not_e_3) ).
fof(f395,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f394]) ).
fof(f394,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(subsumption_resolution,[],[f385,f323]) ).
fof(f323,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(unit_resulting_resolution,[],[f13,f126,f19]) ).
fof(f385,plain,
( product(e_2,e_2,e_2)
| ~ spl0_13
| ~ spl0_14 ),
inference(unit_resulting_resolution,[],[f126,f130,f20]) ).
fof(f366,plain,
( spl0_8
| spl0_14
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f365,f28,f128,f99]) ).
fof(f365,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f364,f8]) ).
fof(f364,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_2)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f358,f9]) ).
fof(f358,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_1 ),
inference(resolution,[],[f267,f16]) ).
fof(f267,plain,
( ~ product(e_2,e_3,e_3)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f13,f30,f19]) ).
fof(f251,plain,
( spl0_8
| ~ spl0_7
| spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f250,f128,f115,f95,f99]) ).
fof(f250,plain,
( product(e_2,e_3,e_1)
| ~ spl0_7
| spl0_11
| spl0_14 ),
inference(subsumption_resolution,[],[f249,f8]) ).
fof(f249,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_2)
| ~ spl0_7
| spl0_11
| spl0_14 ),
inference(subsumption_resolution,[],[f248,f9]) ).
fof(f248,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_7
| spl0_11
| spl0_14 ),
inference(subsumption_resolution,[],[f247,f129]) ).
fof(f247,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f238,f116]) ).
fof(f238,plain,
( product(e_3,e_1,e_2)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_2)
| ~ spl0_7 ),
inference(resolution,[],[f97,f21]) ).
fof(f246,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f227,f108]) ).
fof(f227,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_7 ),
inference(unit_resulting_resolution,[],[f12,f97,f18]) ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.qKgTkEsIW8/Vampire---4.8_11738',e_2_is_not_e_1) ).
fof(f218,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f191,f36,f124]) ).
fof(f191,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f15,f38,f18]) ).
fof(f38,plain,
( product(e_3,e_3,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f217,plain,
( ~ spl0_11
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f192,f36,f115]) ).
fof(f192,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f14,f38,f18]) ).
fof(f214,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f197,f36,f128]) ).
fof(f197,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f15,f38,f19]) ).
fof(f213,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f198,f36,f119]) ).
fof(f198,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f14,f38,f19]) ).
fof(f181,plain,
( ~ spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f180,plain,
( $false
| ~ spl0_5
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f150,f97]) ).
fof(f150,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f15,f46,f18]) ).
fof(f46,plain,
( product(e_3,e_3,e_1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f179,plain,
( ~ spl0_5
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f178,plain,
( $false
| ~ spl0_5
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f151,f108]) ).
fof(f151,plain,
( ~ product(e_3,e_1,e_1)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f14,f46,f18]) ).
fof(f173,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f156,f44,f99]) ).
fof(f156,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f15,f46,f19]) ).
fof(f172,plain,
( ~ spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f157,f44,f110]) ).
fof(f157,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl0_5 ),
inference(unit_resulting_resolution,[],[f14,f46,f19]) ).
fof(f102,plain,
( spl0_7
| spl0_8
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f93,f36,f32,f99,f95]) ).
fof(f93,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_1)
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f92,f60]) ).
fof(f60,plain,
( ~ product(e_3,e_2,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f13,f38,f18]) ).
fof(f92,plain,
( product(e_2,e_3,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f89,f66]) ).
fof(f66,plain,
( ~ product(e_2,e_3,e_2)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f13,f38,f19]) ).
fof(f89,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_1)
| ~ spl0_2 ),
inference(resolution,[],[f33,f8]) ).
fof(f84,plain,
( ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f55,f36,f44]) ).
fof(f55,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f10,f38,f17]) ).
fof(f82,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f51,f36,f28]) ).
fof(f51,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_3 ),
inference(unit_resulting_resolution,[],[f13,f38,f17]) ).
fof(f50,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f48,f44]) ).
fof(f26,plain,
! [X0] :
( product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_3,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1) ),
inference(resolution,[],[f23,f7]) ).
fof(f23,plain,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| product(e_3,e_3,X0)
| product(X1,X0,e_2)
| product(X1,X0,e_1) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( product(e_3,e_3,X0)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1) ),
inference(resolution,[],[f21,f16]) ).
fof(f42,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f40,f36]) ).
fof(f25,plain,
! [X0] :
( product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_3,e_2)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1) ),
inference(resolution,[],[f23,f8]) ).
fof(f34,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f24,f32,f28]) ).
fof(f24,plain,
! [X0] :
( product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| ~ group_element(X0)
| product(e_3,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1) ),
inference(resolution,[],[f23,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.15 % 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 : n025.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 18:36:56 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_EPR_NEQ_NHN 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.qKgTkEsIW8/Vampire---4.8_11738
% 0.58/0.76 % (11946)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)
% 0.60/0.76 % (11943)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (11944)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)
% 0.60/0.76 % (11941)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)
% 0.60/0.76 % (11942)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)
% 0.60/0.76 % (11945)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)
% 0.60/0.76 % (11947)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)
% 0.60/0.76 % (11948)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)
% 0.60/0.76 % (11941)Refutation not found, incomplete strategy% (11941)------------------------------
% 0.60/0.76 % (11941)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11941)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76 % (11944)Refutation not found, incomplete strategy% (11944)------------------------------
% 0.60/0.76 % (11944)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11944)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (11944)Memory used [KB]: 949
% 0.60/0.76 % (11944)Time elapsed: 0.002 s
% 0.60/0.76 % (11944)Instructions burned: 2 (million)
% 0.60/0.76 % (11944)------------------------------
% 0.60/0.76 % (11944)------------------------------
% 0.60/0.76
% 0.60/0.76 % (11941)Memory used [KB]: 949
% 0.60/0.76 % (11941)Time elapsed: 0.002 s
% 0.60/0.76 % (11941)Instructions burned: 2 (million)
% 0.60/0.76 % (11941)------------------------------
% 0.60/0.76 % (11941)------------------------------
% 0.60/0.76 % (11948)Refutation not found, incomplete strategy% (11948)------------------------------
% 0.60/0.76 % (11948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11948)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (11948)Memory used [KB]: 949
% 0.60/0.76 % (11948)Time elapsed: 0.001 s
% 0.60/0.76 % (11948)Instructions burned: 2 (million)
% 0.60/0.76 % (11948)------------------------------
% 0.60/0.76 % (11948)------------------------------
% 0.60/0.76 % (11949)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)
% 0.60/0.76 % (11949)Refutation not found, incomplete strategy% (11949)------------------------------
% 0.60/0.76 % (11949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11949)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (11949)Memory used [KB]: 964
% 0.60/0.76 % (11949)Time elapsed: 0.001 s
% 0.60/0.76 % (11949)Instructions burned: 2 (million)
% 0.60/0.76 % (11949)------------------------------
% 0.60/0.76 % (11949)------------------------------
% 0.60/0.76 % (11950)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)
% 0.60/0.76 % (11951)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)
% 0.60/0.76 % (11951)Refutation not found, incomplete strategy% (11951)------------------------------
% 0.60/0.76 % (11951)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.76 % (11951)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (11951)Memory used [KB]: 948
% 0.60/0.76 % (11951)Time elapsed: 0.002 s
% 0.60/0.76 % (11951)Instructions burned: 2 (million)
% 0.60/0.76 % (11951)------------------------------
% 0.60/0.76 % (11951)------------------------------
% 0.60/0.76 % (11952)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)
% 0.60/0.77 % (11946)Instruction limit reached!
% 0.60/0.77 % (11946)------------------------------
% 0.60/0.77 % (11946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (11946)Termination reason: Unknown
% 0.60/0.77 % (11946)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (11946)Memory used [KB]: 1202
% 0.60/0.77 % (11946)Time elapsed: 0.012 s
% 0.60/0.77 % (11946)Instructions burned: 46 (million)
% 0.60/0.77 % (11946)------------------------------
% 0.60/0.77 % (11946)------------------------------
% 0.60/0.77 % (11953)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)
% 0.60/0.77 % (11954)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 (2996ds/42Mi)
% 0.60/0.77 % (11947)First to succeed.
% 0.60/0.77 % (11945)Instruction limit reached!
% 0.60/0.77 % (11945)------------------------------
% 0.60/0.77 % (11945)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (11945)Termination reason: Unknown
% 0.60/0.77 % (11945)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (11945)Memory used [KB]: 1125
% 0.60/0.77 % (11945)Time elapsed: 0.016 s
% 0.60/0.77 % (11945)Instructions burned: 35 (million)
% 0.60/0.77 % (11945)------------------------------
% 0.60/0.77 % (11945)------------------------------
% 0.60/0.77 % (11952)Also succeeded, but the first one will report.
% 0.60/0.77 % (11947)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (11947)------------------------------
% 0.60/0.77 % (11947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.77 % (11947)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (11947)Memory used [KB]: 1194
% 0.60/0.77 % (11947)Time elapsed: 0.016 s
% 0.60/0.77 % (11947)Instructions burned: 27 (million)
% 0.60/0.77 % (11947)------------------------------
% 0.60/0.77 % (11947)------------------------------
% 0.60/0.77 % (11926)Success in time 0.406 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------