TSTP Solution File: SEU391+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU391+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : n004.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 : Sun May 5 09:23:04 EDT 2024
% Result : Theorem 0.59s 0.81s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 112 ( 5 unt; 0 def)
% Number of atoms : 510 ( 17 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 631 ( 233 ~; 288 |; 83 &)
% ( 12 <=>; 13 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 124 ( 97 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1002,plain,
$false,
inference(avatar_sat_refutation,[],[f545,f546,f547,f738,f755,f873,f924,f984,f990,f1001]) ).
fof(f1001,plain,
( ~ spl32_1
| spl32_11 ),
inference(avatar_contradiction_clause,[],[f1000]) ).
fof(f1000,plain,
( $false
| ~ spl32_1
| spl32_11 ),
inference(subsumption_resolution,[],[f999,f278]) ).
fof(f278,plain,
~ empty_carrier(sK2),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( ~ element(sK4,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,sK3,sK4)
| ~ in(sK4,filter_of_net_str(sK2,sK3)) )
& ( ( element(sK4,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,sK3,sK4) )
| in(sK4,filter_of_net_str(sK2,sK3)) )
& net_str(sK3,sK2)
& ~ empty_carrier(sK3)
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f213,f216,f215,f214]) ).
fof(f214,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,X1,X2)
| ~ in(X2,filter_of_net_str(sK2,X1)) )
& ( ( element(X2,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,X1,X2) )
| in(X2,filter_of_net_str(sK2,X1)) ) )
& net_str(X1,sK2)
& ~ empty_carrier(X1) )
& one_sorted_str(sK2)
& ~ empty_carrier(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,X1,X2)
| ~ in(X2,filter_of_net_str(sK2,X1)) )
& ( ( element(X2,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,X1,X2) )
| in(X2,filter_of_net_str(sK2,X1)) ) )
& net_str(X1,sK2)
& ~ empty_carrier(X1) )
=> ( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,sK3,X2)
| ~ in(X2,filter_of_net_str(sK2,sK3)) )
& ( ( element(X2,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,sK3,X2) )
| in(X2,filter_of_net_str(sK2,sK3)) ) )
& net_str(sK3,sK2)
& ~ empty_carrier(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,sK3,X2)
| ~ in(X2,filter_of_net_str(sK2,sK3)) )
& ( ( element(X2,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,sK3,X2) )
| in(X2,filter_of_net_str(sK2,sK3)) ) )
=> ( ( ~ element(sK4,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,sK3,sK4)
| ~ in(sK4,filter_of_net_str(sK2,sK3)) )
& ( ( element(sK4,powerset(the_carrier(sK2)))
& is_eventually_in(sK2,sK3,sK4) )
| in(sK4,filter_of_net_str(sK2,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ element(X2,powerset(the_carrier(X0)))
| ~ is_eventually_in(X0,X1,X2)
| ~ in(X2,filter_of_net_str(X0,X1)) )
& ( ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) )
| in(X2,filter_of_net_str(X0,X1)) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( in(X2,filter_of_net_str(X0,X1))
<~> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[],[f92]) ).
fof(f92,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( in(X2,filter_of_net_str(X0,X1))
<=> ( element(X2,powerset(the_carrier(X0)))
& is_eventually_in(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',t11_yellow19) ).
fof(f999,plain,
( empty_carrier(sK2)
| ~ spl32_1
| spl32_11 ),
inference(subsumption_resolution,[],[f998,f279]) ).
fof(f279,plain,
one_sorted_str(sK2),
inference(cnf_transformation,[],[f217]) ).
fof(f998,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl32_1
| spl32_11 ),
inference(subsumption_resolution,[],[f997,f280]) ).
fof(f280,plain,
~ empty_carrier(sK3),
inference(cnf_transformation,[],[f217]) ).
fof(f997,plain,
( empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl32_1
| spl32_11 ),
inference(subsumption_resolution,[],[f996,f281]) ).
fof(f281,plain,
net_str(sK3,sK2),
inference(cnf_transformation,[],[f217]) ).
fof(f996,plain,
( ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl32_1
| spl32_11 ),
inference(subsumption_resolution,[],[f994,f535]) ).
fof(f535,plain,
( in(sK4,filter_of_net_str(sK2,sK3))
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl32_1
<=> in(sK4,filter_of_net_str(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f994,plain,
( ~ in(sK4,filter_of_net_str(sK2,sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_11 ),
inference(superposition,[],[f742,f297]) ).
fof(f297,plain,
! [X0,X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1)
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1)
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> filter_of_net_str(X0,X1) = a_2_1_yellow19(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',d3_yellow19) ).
fof(f742,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| spl32_11 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl32_11
<=> in(sK4,a_2_1_yellow19(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_11])]) ).
fof(f990,plain,
( ~ spl32_11
| spl32_2 ),
inference(avatar_split_clause,[],[f989,f538,f741]) ).
fof(f538,plain,
( spl32_2
<=> is_eventually_in(sK2,sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f989,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| spl32_2 ),
inference(subsumption_resolution,[],[f988,f278]) ).
fof(f988,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| empty_carrier(sK2)
| spl32_2 ),
inference(subsumption_resolution,[],[f987,f279]) ).
fof(f987,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_2 ),
inference(subsumption_resolution,[],[f986,f280]) ).
fof(f986,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_2 ),
inference(subsumption_resolution,[],[f985,f281]) ).
fof(f985,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_2 ),
inference(resolution,[],[f540,f699]) ).
fof(f699,plain,
! [X2,X0,X1] :
( is_eventually_in(X1,X2,X0)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(duplicate_literal_removal,[],[f698]) ).
fof(f698,plain,
! [X2,X0,X1] :
( is_eventually_in(X1,X2,X0)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(superposition,[],[f308,f307]) ).
fof(f307,plain,
! [X2,X0,X1] :
( sK11(X0,X1,X2) = X0
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ( is_eventually_in(X1,X2,sK11(X0,X1,X2))
& sK11(X0,X1,X2) = X0
& element(sK11(X0,X1,X2),powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f231,f232]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ? [X4] :
( is_eventually_in(X1,X2,X4)
& X0 = X4
& element(X4,powerset(the_carrier(X1))) )
=> ( is_eventually_in(X1,X2,sK11(X0,X1,X2))
& sK11(X0,X1,X2) = X0
& element(sK11(X0,X1,X2),powerset(the_carrier(X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ? [X4] :
( is_eventually_in(X1,X2,X4)
& X0 = X4
& element(X4,powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(rectify,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X2] :
( ( ( in(X0,a_2_1_yellow19(X1,X2))
| ! [X3] :
( ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1))) ) )
& ( ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) )
| ~ in(X0,a_2_1_yellow19(X1,X2)) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(nnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) )
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( net_str(X2,X1)
& ~ empty_carrier(X2)
& one_sorted_str(X1)
& ~ empty_carrier(X1) )
=> ( in(X0,a_2_1_yellow19(X1,X2))
<=> ? [X3] :
( is_eventually_in(X1,X2,X3)
& X0 = X3
& element(X3,powerset(the_carrier(X1))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',fraenkel_a_2_1_yellow19) ).
fof(f308,plain,
! [X2,X0,X1] :
( is_eventually_in(X1,X2,sK11(X0,X1,X2))
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f540,plain,
( ~ is_eventually_in(sK2,sK3,sK4)
| spl32_2 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f984,plain,
( spl32_5
| ~ spl32_17 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f983,plain,
( $false
| spl32_5
| ~ spl32_17 ),
inference(subsumption_resolution,[],[f982,f278]) ).
fof(f982,plain,
( empty_carrier(sK2)
| spl32_5
| ~ spl32_17 ),
inference(subsumption_resolution,[],[f981,f279]) ).
fof(f981,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_5
| ~ spl32_17 ),
inference(subsumption_resolution,[],[f980,f280]) ).
fof(f980,plain,
( empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_5
| ~ spl32_17 ),
inference(subsumption_resolution,[],[f979,f281]) ).
fof(f979,plain,
( ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_5
| ~ spl32_17 ),
inference(subsumption_resolution,[],[f977,f565]) ).
fof(f565,plain,
( ~ empty(filter_of_net_str(sK2,sK3))
| spl32_5 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f564,plain,
( spl32_5
<=> empty(filter_of_net_str(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f977,plain,
( empty(filter_of_net_str(sK2,sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl32_17 ),
inference(superposition,[],[f869,f297]) ).
fof(f869,plain,
( empty(a_2_1_yellow19(sK2,sK3))
| ~ spl32_17 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f867,plain,
( spl32_17
<=> empty(a_2_1_yellow19(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f924,plain,
( ~ spl32_11
| spl32_3
| ~ spl32_18 ),
inference(avatar_split_clause,[],[f922,f871,f542,f741]) ).
fof(f542,plain,
( spl32_3
<=> element(sK4,powerset(the_carrier(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f871,plain,
( spl32_18
<=> ! [X0] :
( element(X0,powerset(the_carrier(sK2)))
| ~ element(X0,a_2_1_yellow19(sK2,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_18])]) ).
fof(f922,plain,
( ~ in(sK4,a_2_1_yellow19(sK2,sK3))
| spl32_3
| ~ spl32_18 ),
inference(resolution,[],[f893,f289]) ).
fof(f289,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',t1_subset) ).
fof(f893,plain,
( ~ element(sK4,a_2_1_yellow19(sK2,sK3))
| spl32_3
| ~ spl32_18 ),
inference(resolution,[],[f872,f544]) ).
fof(f544,plain,
( ~ element(sK4,powerset(the_carrier(sK2)))
| spl32_3 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f872,plain,
( ! [X0] :
( element(X0,powerset(the_carrier(sK2)))
| ~ element(X0,a_2_1_yellow19(sK2,sK3)) )
| ~ spl32_18 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f873,plain,
( spl32_17
| spl32_18 ),
inference(avatar_split_clause,[],[f863,f871,f867]) ).
fof(f863,plain,
! [X0] :
( element(X0,powerset(the_carrier(sK2)))
| empty(a_2_1_yellow19(sK2,sK3))
| ~ element(X0,a_2_1_yellow19(sK2,sK3)) ),
inference(resolution,[],[f852,f288]) ).
fof(f288,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',t2_subset) ).
fof(f852,plain,
! [X0] :
( ~ in(X0,a_2_1_yellow19(sK2,sK3))
| element(X0,powerset(the_carrier(sK2))) ),
inference(subsumption_resolution,[],[f851,f278]) ).
fof(f851,plain,
! [X0] :
( ~ in(X0,a_2_1_yellow19(sK2,sK3))
| element(X0,powerset(the_carrier(sK2)))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f850,f279]) ).
fof(f850,plain,
! [X0] :
( ~ in(X0,a_2_1_yellow19(sK2,sK3))
| element(X0,powerset(the_carrier(sK2)))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f847,f280]) ).
fof(f847,plain,
! [X0] :
( ~ in(X0,a_2_1_yellow19(sK2,sK3))
| element(X0,powerset(the_carrier(sK2)))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(resolution,[],[f703,f281]) ).
fof(f703,plain,
! [X2,X0,X1] :
( ~ net_str(X2,X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| element(X0,powerset(the_carrier(X1)))
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(duplicate_literal_removal,[],[f702]) ).
fof(f702,plain,
! [X2,X0,X1] :
( element(X0,powerset(the_carrier(X1)))
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(superposition,[],[f306,f307]) ).
fof(f306,plain,
! [X2,X0,X1] :
( element(sK11(X0,X1,X2),powerset(the_carrier(X1)))
| ~ in(X0,a_2_1_yellow19(X1,X2))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f755,plain,
( ~ spl32_5
| ~ spl32_1 ),
inference(avatar_split_clause,[],[f749,f534,f564]) ).
fof(f749,plain,
( ~ empty(filter_of_net_str(sK2,sK3))
| ~ spl32_1 ),
inference(resolution,[],[f535,f285]) ).
fof(f285,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ empty(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ empty(X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,axiom,
! [X0,X1] :
~ ( empty(X1)
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393',t7_boole) ).
fof(f738,plain,
( spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f736,f278]) ).
fof(f736,plain,
( empty_carrier(sK2)
| spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f735,f279]) ).
fof(f735,plain,
( ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f734,f280]) ).
fof(f734,plain,
( empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f733,f281]) ).
fof(f733,plain,
( ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f727,f536]) ).
fof(f536,plain,
( ~ in(sK4,filter_of_net_str(sK2,sK3))
| spl32_1 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f727,plain,
( in(sK4,filter_of_net_str(sK2,sK3))
| ~ net_str(sK3,sK2)
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2)
| ~ spl32_2
| ~ spl32_3 ),
inference(superposition,[],[f716,f297]) ).
fof(f716,plain,
( in(sK4,a_2_1_yellow19(sK2,sK3))
| ~ spl32_2
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f714,f543]) ).
fof(f543,plain,
( element(sK4,powerset(the_carrier(sK2)))
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f714,plain,
( ~ element(sK4,powerset(the_carrier(sK2)))
| in(sK4,a_2_1_yellow19(sK2,sK3))
| ~ spl32_2 ),
inference(resolution,[],[f713,f539]) ).
fof(f539,plain,
( is_eventually_in(sK2,sK3,sK4)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f713,plain,
! [X0] :
( ~ is_eventually_in(sK2,sK3,X0)
| ~ element(X0,powerset(the_carrier(sK2)))
| in(X0,a_2_1_yellow19(sK2,sK3)) ),
inference(subsumption_resolution,[],[f712,f278]) ).
fof(f712,plain,
! [X0] :
( ~ is_eventually_in(sK2,sK3,X0)
| ~ element(X0,powerset(the_carrier(sK2)))
| in(X0,a_2_1_yellow19(sK2,sK3))
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f711,f279]) ).
fof(f711,plain,
! [X0] :
( ~ is_eventually_in(sK2,sK3,X0)
| ~ element(X0,powerset(the_carrier(sK2)))
| in(X0,a_2_1_yellow19(sK2,sK3))
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(subsumption_resolution,[],[f708,f280]) ).
fof(f708,plain,
! [X0] :
( ~ is_eventually_in(sK2,sK3,X0)
| ~ element(X0,powerset(the_carrier(sK2)))
| in(X0,a_2_1_yellow19(sK2,sK3))
| empty_carrier(sK3)
| ~ one_sorted_str(sK2)
| empty_carrier(sK2) ),
inference(resolution,[],[f532,f281]) ).
fof(f532,plain,
! [X2,X3,X1] :
( ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ element(X3,powerset(the_carrier(X1)))
| in(X3,a_2_1_yellow19(X1,X2))
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(equality_resolution,[],[f309]) ).
fof(f309,plain,
! [X2,X3,X0,X1] :
( in(X0,a_2_1_yellow19(X1,X2))
| ~ is_eventually_in(X1,X2,X3)
| X0 != X3
| ~ element(X3,powerset(the_carrier(X1)))
| ~ net_str(X2,X1)
| empty_carrier(X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1) ),
inference(cnf_transformation,[],[f233]) ).
fof(f547,plain,
( spl32_1
| spl32_2 ),
inference(avatar_split_clause,[],[f282,f538,f534]) ).
fof(f282,plain,
( is_eventually_in(sK2,sK3,sK4)
| in(sK4,filter_of_net_str(sK2,sK3)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f546,plain,
( spl32_1
| spl32_3 ),
inference(avatar_split_clause,[],[f283,f542,f534]) ).
fof(f283,plain,
( element(sK4,powerset(the_carrier(sK2)))
| in(sK4,filter_of_net_str(sK2,sK3)) ),
inference(cnf_transformation,[],[f217]) ).
fof(f545,plain,
( ~ spl32_1
| ~ spl32_2
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f284,f542,f538,f534]) ).
fof(f284,plain,
( ~ element(sK4,powerset(the_carrier(sK2)))
| ~ is_eventually_in(sK2,sK3,sK4)
| ~ in(sK4,filter_of_net_str(sK2,sK3)) ),
inference(cnf_transformation,[],[f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEU391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30 % Computer : n004.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 11:26:48 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.30 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.9Wu5hvvGBg/Vampire---4.8_10393
% 0.59/0.79 % (10501)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)
% 0.59/0.79 % (10503)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79 % (10504)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)
% 0.59/0.79 % (10502)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)
% 0.59/0.79 % (10505)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)
% 0.59/0.79 % (10506)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)
% 0.59/0.79 % (10507)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)
% 0.59/0.79 % (10508)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)
% 0.59/0.79 % (10508)Refutation not found, incomplete strategy% (10508)------------------------------
% 0.59/0.79 % (10508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (10508)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (10508)Memory used [KB]: 1144
% 0.59/0.79 % (10508)Time elapsed: 0.004 s
% 0.59/0.79 % (10508)Instructions burned: 5 (million)
% 0.59/0.79 % (10508)------------------------------
% 0.59/0.79 % (10508)------------------------------
% 0.59/0.79 % (10506)Refutation not found, incomplete strategy% (10506)------------------------------
% 0.59/0.79 % (10506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (10506)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (10506)Memory used [KB]: 1168
% 0.59/0.79 % (10506)Time elapsed: 0.005 s
% 0.59/0.79 % (10506)Instructions burned: 7 (million)
% 0.59/0.79 % (10506)------------------------------
% 0.59/0.79 % (10506)------------------------------
% 0.59/0.80 % (10505)Refutation not found, incomplete strategy% (10505)------------------------------
% 0.59/0.80 % (10505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (10505)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.80
% 0.59/0.80 % (10505)Memory used [KB]: 1271
% 0.59/0.80 % (10505)Time elapsed: 0.007 s
% 0.59/0.80 % (10505)Instructions burned: 11 (million)
% 0.59/0.80 % (10505)------------------------------
% 0.59/0.80 % (10505)------------------------------
% 0.59/0.80 % (10509)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)
% 0.59/0.80 % (10510)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)
% 0.59/0.80 % (10511)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)
% 0.59/0.81 % (10503)First to succeed.
% 0.59/0.81 % (10501)Instruction limit reached!
% 0.59/0.81 % (10501)------------------------------
% 0.59/0.81 % (10501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (10501)Termination reason: Unknown
% 0.59/0.81 % (10501)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (10501)Memory used [KB]: 1478
% 0.59/0.81 % (10501)Time elapsed: 0.020 s
% 0.59/0.81 % (10501)Instructions burned: 35 (million)
% 0.59/0.81 % (10501)------------------------------
% 0.59/0.81 % (10501)------------------------------
% 0.59/0.81 % (10504)Instruction limit reached!
% 0.59/0.81 % (10504)------------------------------
% 0.59/0.81 % (10504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (10504)Termination reason: Unknown
% 0.59/0.81 % (10504)Termination phase: Saturation
% 0.59/0.81
% 0.59/0.81 % (10504)Memory used [KB]: 1632
% 0.59/0.81 % (10504)Time elapsed: 0.020 s
% 0.59/0.81 % (10504)Instructions burned: 34 (million)
% 0.59/0.81 % (10504)------------------------------
% 0.59/0.81 % (10504)------------------------------
% 0.59/0.81 % (10503)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10500"
% 0.59/0.81 % (10503)Refutation found. Thanks to Tanya!
% 0.59/0.81 % SZS status Theorem for Vampire---4
% 0.59/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81 % (10503)------------------------------
% 0.59/0.81 % (10503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81 % (10503)Termination reason: Refutation
% 0.59/0.81
% 0.59/0.81 % (10503)Memory used [KB]: 1520
% 0.59/0.81 % (10503)Time elapsed: 0.021 s
% 0.59/0.81 % (10503)Instructions burned: 36 (million)
% 0.59/0.81 % (10500)Success in time 0.511 s
% 0.59/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------