TSTP Solution File: SEU367+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU367+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 09:22:48 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 109 ( 9 unt; 0 def)
% Number of atoms : 425 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 508 ( 192 ~; 245 |; 36 &)
% ( 15 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 8 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 136 ( 121 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1223,plain,
$false,
inference(avatar_sat_refutation,[],[f133,f138,f143,f144,f174,f683,f692,f721,f738,f1222]) ).
fof(f1222,plain,
( spl18_1
| ~ spl18_3
| ~ spl18_10 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1221,plain,
( $false
| spl18_1
| ~ spl18_3
| ~ spl18_10 ),
inference(subsumption_resolution,[],[f1220,f128]) ).
fof(f128,plain,
( ~ is_often_in(sK0,sK1,sK3)
| spl18_1 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl18_1
<=> is_often_in(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f1220,plain,
( is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3
| ~ spl18_10 ),
inference(subsumption_resolution,[],[f1219,f1118]) ).
fof(f1118,plain,
( in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| spl18_1
| ~ spl18_3
| ~ spl18_10 ),
inference(unit_resulting_resolution,[],[f782,f691]) ).
fof(f691,plain,
( ! [X0] :
( in(X0,sK3)
| ~ in(X0,sK2) )
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl18_10
<=> ! [X0] :
( ~ in(X0,sK2)
| in(X0,sK3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f782,plain,
( in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK2)
| spl18_1
| ~ spl18_3 ),
inference(unit_resulting_resolution,[],[f88,f87,f137,f86,f85,f750,f104]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( in(apply_netmap(X0,X1,sK11(X0,X1,X2,X3)),X2)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) )
| ~ element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_often_in(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X1))
=> ? [X4] :
( in(apply_netmap(X0,X1,X4),X2)
& related(X1,X3,X4)
& element(X4,the_carrier(X1)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',d12_waybel_0) ).
fof(f750,plain,
( element(sK10(sK0,sK1,sK3),the_carrier(sK1))
| spl18_1 ),
inference(unit_resulting_resolution,[],[f88,f87,f85,f86,f128,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( element(sK10(X0,X1,X2),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f85,plain,
~ empty_carrier(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
? [X0] :
( ? [X1] :
( ? [X2,X3] :
( ( ( ~ is_often_in(X0,X1,X3)
& is_often_in(X0,X1,X2) )
| ( ~ is_eventually_in(X0,X1,X3)
& is_eventually_in(X0,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
? [X0] :
( ? [X1] :
( ? [X2,X3] :
( ( ( ~ is_often_in(X0,X1,X3)
& is_often_in(X0,X1,X2) )
| ( ~ is_eventually_in(X0,X1,X3)
& is_eventually_in(X0,X1,X2) ) )
& subset(X2,X3) )
& net_str(X1,X0)
& ~ empty_carrier(X1) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2,X3] :
( subset(X2,X3)
=> ( ( is_often_in(X0,X1,X2)
=> is_often_in(X0,X1,X3) )
& ( is_eventually_in(X0,X1,X2)
=> is_eventually_in(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',t8_waybel_0) ).
fof(f86,plain,
net_str(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f137,plain,
( is_often_in(sK0,sK1,sK2)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f135,plain,
( spl18_3
<=> is_often_in(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f87,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f88,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f1219,plain,
( ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1218,f87]) ).
fof(f1218,plain,
( empty_carrier(sK0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1217,f780]) ).
fof(f780,plain,
( element(sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)),the_carrier(sK1))
| spl18_1
| ~ spl18_3 ),
inference(unit_resulting_resolution,[],[f88,f87,f137,f86,f85,f750,f102]) ).
fof(f102,plain,
! [X2,X3,X0,X1] :
( element(sK11(X0,X1,X2,X3),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f1217,plain,
( ~ element(sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)),the_carrier(sK1))
| empty_carrier(sK0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1216,f86]) ).
fof(f1216,plain,
( ~ net_str(sK1,sK0)
| ~ element(sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)),the_carrier(sK1))
| empty_carrier(sK0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1215,f85]) ).
fof(f1215,plain,
( empty_carrier(sK1)
| ~ net_str(sK1,sK0)
| ~ element(sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)),the_carrier(sK1))
| empty_carrier(sK0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1212,f88]) ).
fof(f1212,plain,
( ~ one_sorted_str(sK0)
| empty_carrier(sK1)
| ~ net_str(sK1,sK0)
| ~ element(sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)),the_carrier(sK1))
| empty_carrier(sK0)
| ~ in(apply_netmap(sK0,sK1,sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3))),sK3)
| is_often_in(sK0,sK1,sK3)
| spl18_1
| ~ spl18_3 ),
inference(resolution,[],[f781,f101]) ).
fof(f101,plain,
! [X2,X0,X1,X4] :
( ~ related(X1,sK10(X0,X1,X2),X4)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X4,the_carrier(X1))
| empty_carrier(X0)
| ~ in(apply_netmap(X0,X1,X4),X2)
| is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f781,plain,
( related(sK1,sK10(sK0,sK1,sK3),sK11(sK0,sK1,sK2,sK10(sK0,sK1,sK3)))
| spl18_1
| ~ spl18_3 ),
inference(unit_resulting_resolution,[],[f88,f87,f137,f86,f85,f750,f103]) ).
fof(f103,plain,
! [X2,X3,X0,X1] :
( related(X1,X3,sK11(X0,X1,X2,X3))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| ~ is_often_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f738,plain,
( ~ spl18_2
| spl18_4
| ~ spl18_5 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f737,plain,
( $false
| ~ spl18_2
| spl18_4
| ~ spl18_5 ),
inference(subsumption_resolution,[],[f705,f238]) ).
fof(f238,plain,
( related(sK1,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)))
| ~ spl18_2
| spl18_4 ),
inference(unit_resulting_resolution,[],[f88,f87,f142,f86,f85,f158,f97]) ).
fof(f97,plain,
! [X2,X3,X0,X1] :
( related(X1,X3,sK9(X0,X1,X2,X3))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( in(apply_netmap(X0,X1,X4),X2)
| ~ related(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) ) )
| ~ net_str(X1,X0)
| empty_carrier(X1) )
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( net_str(X1,X0)
& ~ empty_carrier(X1) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
<=> ? [X3] :
( ! [X4] :
( element(X4,the_carrier(X1))
=> ( related(X1,X3,X4)
=> in(apply_netmap(X0,X1,X4),X2) ) )
& element(X3,the_carrier(X1)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',d11_waybel_0) ).
fof(f158,plain,
( element(sK8(sK0,sK1,sK2),the_carrier(sK1))
| ~ spl18_2 ),
inference(unit_resulting_resolution,[],[f88,f87,f85,f86,f132,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( element(sK8(X0,X1,X2),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f132,plain,
( is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f130,plain,
( spl18_2
<=> is_eventually_in(sK0,sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f142,plain,
( ~ is_eventually_in(sK0,sK1,sK3)
| spl18_4 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl18_4
<=> is_eventually_in(sK0,sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f705,plain,
( ~ related(sK1,sK8(sK0,sK1,sK2),sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)))
| ~ spl18_2
| spl18_4
| ~ spl18_5 ),
inference(unit_resulting_resolution,[],[f85,f88,f87,f86,f132,f237,f693,f99]) ).
fof(f99,plain,
! [X2,X0,X1,X4] :
( ~ related(X1,sK8(X0,X1,X2),X4)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X4,the_carrier(X1))
| empty_carrier(X0)
| in(apply_netmap(X0,X1,X4),X2)
| ~ is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f693,plain,
( ! [X0] : ~ in(X0,sK2)
| ~ spl18_5 ),
inference(unit_resulting_resolution,[],[f169,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ~ sP17(X1) ),
inference(general_splitting,[],[f108,f123_D]) ).
fof(f123,plain,
! [X2,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| sP17(X1) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X1] :
( ! [X2] :
( ~ element(X1,powerset(X2))
| ~ empty(X2) )
<=> ~ sP17(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',t5_subset) ).
fof(f169,plain,
( sP17(sK2)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl18_5
<=> sP17(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f237,plain,
( element(sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)),the_carrier(sK1))
| ~ spl18_2
| spl18_4 ),
inference(unit_resulting_resolution,[],[f88,f87,f142,f86,f85,f158,f96]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( element(sK9(X0,X1,X2,X3),the_carrier(X1))
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f721,plain,
( ~ spl18_3
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f717,f167,f135]) ).
fof(f717,plain,
( ~ is_often_in(sK0,sK1,sK2)
| ~ spl18_5 ),
inference(unit_resulting_resolution,[],[f85,f87,f88,f86,f117,f693,f104]) ).
fof(f117,plain,
! [X0] : element(sK16(X0),X0),
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
? [X1] : element(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',existence_m1_subset_1) ).
fof(f692,plain,
( spl18_6
| spl18_10 ),
inference(avatar_split_clause,[],[f379,f690,f171]) ).
fof(f171,plain,
( spl18_6
<=> empty(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f379,plain,
! [X0] :
( ~ in(X0,sK2)
| empty(sK3)
| in(X0,sK3) ),
inference(resolution,[],[f163,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',t2_subset) ).
fof(f163,plain,
! [X0] :
( element(X0,sK3)
| ~ in(X0,sK2) ),
inference(resolution,[],[f149,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',t4_subset) ).
fof(f149,plain,
element(sK2,powerset(sK3)),
inference(unit_resulting_resolution,[],[f84,f106]) ).
fof(f106,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( element(X0,powerset(X1))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( subset(X0,X1)
=> element(X0,powerset(X1)) ),
inference(unused_predicate_definition_removal,[],[f47]) ).
fof(f47,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.wJrs17JwJf/Vampire---4.8_3382',t3_subset) ).
fof(f84,plain,
subset(sK2,sK3),
inference(cnf_transformation,[],[f58]) ).
fof(f683,plain,
( ~ spl18_2
| spl18_4
| spl18_6 ),
inference(avatar_contradiction_clause,[],[f682]) ).
fof(f682,plain,
( $false
| ~ spl18_2
| spl18_4
| spl18_6 ),
inference(subsumption_resolution,[],[f681,f132]) ).
fof(f681,plain,
( ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4
| spl18_6 ),
inference(subsumption_resolution,[],[f680,f600]) ).
fof(f600,plain,
( ~ in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ spl18_2
| spl18_4
| spl18_6 ),
inference(unit_resulting_resolution,[],[f239,f380]) ).
fof(f380,plain,
( ! [X0] :
( in(X0,sK3)
| ~ in(X0,sK2) )
| spl18_6 ),
inference(subsumption_resolution,[],[f379,f173]) ).
fof(f173,plain,
( ~ empty(sK3)
| spl18_6 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f239,plain,
( ~ in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK3)
| ~ spl18_2
| spl18_4 ),
inference(unit_resulting_resolution,[],[f88,f87,f142,f86,f85,f158,f98]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ in(apply_netmap(X0,X1,sK9(X0,X1,X2,X3)),X2)
| ~ one_sorted_str(X0)
| empty_carrier(X1)
| ~ net_str(X1,X0)
| ~ element(X3,the_carrier(X1))
| empty_carrier(X0)
| is_eventually_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f680,plain,
( in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(subsumption_resolution,[],[f679,f87]) ).
fof(f679,plain,
( empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(subsumption_resolution,[],[f678,f237]) ).
fof(f678,plain,
( ~ element(sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)),the_carrier(sK1))
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(subsumption_resolution,[],[f677,f86]) ).
fof(f677,plain,
( ~ net_str(sK1,sK0)
| ~ element(sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)),the_carrier(sK1))
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(subsumption_resolution,[],[f676,f85]) ).
fof(f676,plain,
( empty_carrier(sK1)
| ~ net_str(sK1,sK0)
| ~ element(sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)),the_carrier(sK1))
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(subsumption_resolution,[],[f673,f88]) ).
fof(f673,plain,
( ~ one_sorted_str(sK0)
| empty_carrier(sK1)
| ~ net_str(sK1,sK0)
| ~ element(sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2)),the_carrier(sK1))
| empty_carrier(sK0)
| in(apply_netmap(sK0,sK1,sK9(sK0,sK1,sK3,sK8(sK0,sK1,sK2))),sK2)
| ~ is_eventually_in(sK0,sK1,sK2)
| ~ spl18_2
| spl18_4 ),
inference(resolution,[],[f238,f99]) ).
fof(f174,plain,
( spl18_5
| ~ spl18_6 ),
inference(avatar_split_clause,[],[f164,f171,f167]) ).
fof(f164,plain,
( ~ empty(sK3)
| sP17(sK2) ),
inference(resolution,[],[f149,f123]) ).
fof(f144,plain,
( spl18_3
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f80,f140,f135]) ).
fof(f80,plain,
( ~ is_eventually_in(sK0,sK1,sK3)
| is_often_in(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f143,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f81,f140,f126]) ).
fof(f81,plain,
( ~ is_eventually_in(sK0,sK1,sK3)
| ~ is_often_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f138,plain,
( spl18_3
| spl18_2 ),
inference(avatar_split_clause,[],[f82,f130,f135]) ).
fof(f82,plain,
( is_eventually_in(sK0,sK1,sK2)
| is_often_in(sK0,sK1,sK2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f133,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f83,f130,f126]) ).
fof(f83,plain,
( is_eventually_in(sK0,sK1,sK2)
| ~ is_often_in(sK0,sK1,sK3) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU367+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.15 % 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
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 12:17:06 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.wJrs17JwJf/Vampire---4.8_3382
% 0.58/0.75 % (3497)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)
% 0.58/0.75 % (3490)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)
% 0.58/0.75 % (3493)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)
% 0.58/0.75 % (3494)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)
% 0.58/0.75 % (3492)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (3491)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)
% 0.58/0.75 % (3495)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)
% 0.58/0.75 % (3496)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)
% 0.58/0.75 % (3497)Refutation not found, incomplete strategy% (3497)------------------------------
% 0.58/0.75 % (3497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (3497)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (3497)Memory used [KB]: 1077
% 0.58/0.75 % (3497)Time elapsed: 0.002 s
% 0.58/0.75 % (3497)Instructions burned: 4 (million)
% 0.58/0.75 % (3497)------------------------------
% 0.58/0.75 % (3497)------------------------------
% 0.58/0.75 % (3495)Refutation not found, incomplete strategy% (3495)------------------------------
% 0.58/0.75 % (3495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (3495)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (3495)Memory used [KB]: 1061
% 0.58/0.75 % (3495)Time elapsed: 0.003 s
% 0.58/0.75 % (3495)Instructions burned: 3 (million)
% 0.58/0.75 % (3495)------------------------------
% 0.58/0.75 % (3495)------------------------------
% 0.58/0.75 % (3490)Refutation not found, incomplete strategy% (3490)------------------------------
% 0.58/0.75 % (3490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (3490)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (3490)Memory used [KB]: 1076
% 0.58/0.75 % (3490)Time elapsed: 0.004 s
% 0.58/0.75 % (3490)Instructions burned: 5 (million)
% 0.58/0.75 % (3490)------------------------------
% 0.58/0.75 % (3490)------------------------------
% 0.58/0.75 % (3498)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)
% 0.58/0.75 % (3499)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)
% 0.58/0.75 % (3500)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)
% 0.58/0.76 % (3500)Refutation not found, incomplete strategy% (3500)------------------------------
% 0.58/0.76 % (3500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76 % (3500)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76
% 0.58/0.76 % (3500)Memory used [KB]: 1075
% 0.58/0.76 % (3500)Time elapsed: 0.004 s
% 0.58/0.76 % (3500)Instructions burned: 4 (million)
% 0.58/0.76 % (3500)------------------------------
% 0.58/0.76 % (3500)------------------------------
% 0.61/0.76 % (3501)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)
% 0.61/0.76 % (3493)Instruction limit reached!
% 0.61/0.76 % (3493)------------------------------
% 0.61/0.76 % (3493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (3493)Termination reason: Unknown
% 0.61/0.76 % (3493)Termination phase: Saturation
% 0.61/0.76
% 0.61/0.76 % (3493)Memory used [KB]: 1433
% 0.61/0.76 % (3493)Time elapsed: 0.017 s
% 0.61/0.76 % (3493)Instructions burned: 34 (million)
% 0.61/0.76 % (3493)------------------------------
% 0.61/0.76 % (3493)------------------------------
% 0.61/0.77 % (3502)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)
% 0.61/0.77 % (3498)Instruction limit reached!
% 0.61/0.77 % (3498)------------------------------
% 0.61/0.77 % (3498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (3498)Termination reason: Unknown
% 0.61/0.77 % (3498)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (3498)Memory used [KB]: 2128
% 0.61/0.77 % (3498)Time elapsed: 0.018 s
% 0.61/0.77 % (3498)Instructions burned: 55 (million)
% 0.61/0.77 % (3498)------------------------------
% 0.61/0.77 % (3498)------------------------------
% 0.61/0.77 % (3494)Instruction limit reached!
% 0.61/0.77 % (3494)------------------------------
% 0.61/0.77 % (3494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (3494)Termination reason: Unknown
% 0.61/0.77 % (3494)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (3494)Memory used [KB]: 1476
% 0.61/0.77 % (3494)Time elapsed: 0.022 s
% 0.61/0.77 % (3494)Instructions burned: 34 (million)
% 0.61/0.77 % (3494)------------------------------
% 0.61/0.77 % (3494)------------------------------
% 0.61/0.77 % (3503)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.61/0.77 % (3502)Refutation not found, incomplete strategy% (3502)------------------------------
% 0.61/0.77 % (3502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (3502)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (3502)Memory used [KB]: 1131
% 0.61/0.77 % (3502)Time elapsed: 0.006 s
% 0.61/0.77 % (3502)Instructions burned: 7 (million)
% 0.61/0.77 % (3502)------------------------------
% 0.61/0.77 % (3502)------------------------------
% 0.61/0.77 % (3504)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.61/0.77 % (3496)First to succeed.
% 0.61/0.78 % (3505)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.61/0.78 % (3496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3489"
% 0.61/0.78 % (3496)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (3496)------------------------------
% 0.61/0.78 % (3496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (3496)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (3496)Memory used [KB]: 1497
% 0.61/0.78 % (3496)Time elapsed: 0.029 s
% 0.61/0.78 % (3496)Instructions burned: 46 (million)
% 0.61/0.78 % (3489)Success in time 0.409 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------