TSTP Solution File: SEU394+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU394+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.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 Aug 31 18:33:35 EDT 2022
% Result : Theorem 2.75s 0.73s
% Output : Refutation 2.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 71 ( 19 unt; 0 def)
% Number of atoms : 266 ( 33 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 303 ( 108 ~; 108 |; 72 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 84 ( 74 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1991,plain,
$false,
inference(subsumption_resolution,[],[f1990,f1020]) ).
fof(f1020,plain,
~ one_sorted_str(sK37),
inference(consistent_polarity_flipping,[],[f752]) ).
fof(f752,plain,
one_sorted_str(sK37),
inference(cnf_transformation,[],[f425]) ).
fof(f425,plain,
( one_sorted_str(sK37)
& ~ empty_carrier(sK37)
& ~ empty(sK38)
& proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
& sK38 != filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38))
& element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f281,f424,f423]) ).
fof(f423,plain,
( ? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) )
=> ( one_sorted_str(sK37)
& ~ empty_carrier(sK37)
& ? [X1] :
( ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK37)))
& filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK37))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f424,plain,
( ? [X1] :
( ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(sK37)))
& filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(sK37))) )
=> ( ~ empty(sK38)
& proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
& sK38 != filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38))
& element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
& filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37))) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
? [X0] :
( one_sorted_str(X0)
& ~ empty_carrier(X0)
& ? [X1] :
( ~ empty(X1)
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ) ),
inference(flattening,[],[f280]) ).
fof(f280,plain,
? [X0] :
( ? [X1] :
( filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) != X1
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f115]) ).
fof(f115,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
inference(negated_conjecture,[],[f114]) ).
fof(f114,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& ~ empty(X1)
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow19) ).
fof(f1990,plain,
one_sorted_str(sK37),
inference(subsumption_resolution,[],[f1982,f1003]) ).
fof(f1003,plain,
empty_carrier(sK37),
inference(consistent_polarity_flipping,[],[f751]) ).
fof(f751,plain,
~ empty_carrier(sK37),
inference(cnf_transformation,[],[f425]) ).
fof(f1982,plain,
( ~ empty_carrier(sK37)
| one_sorted_str(sK37) ),
inference(resolution,[],[f1952,f837]) ).
fof(f837,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| one_sorted_str(X0)
| ~ empty_carrier(X0) ),
inference(consistent_polarity_flipping,[],[f457]) ).
fof(f457,plain,
! [X0] :
( empty_carrier(X0)
| ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f1952,plain,
empty(cast_as_carrier_subset(sK37)),
inference(subsumption_resolution,[],[f1951,f1544]) ).
fof(f1544,plain,
sK38 != set_difference(sK38,singleton(empty_set)),
inference(superposition,[],[f747,f1505]) ).
fof(f1505,plain,
set_difference(sK38,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38)),
inference(subsumption_resolution,[],[f1504,f750]) ).
fof(f750,plain,
~ empty(sK38),
inference(cnf_transformation,[],[f425]) ).
fof(f1504,plain,
( set_difference(sK38,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38))
| empty(sK38) ),
inference(subsumption_resolution,[],[f1503,f748]) ).
fof(f748,plain,
upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37))),
inference(cnf_transformation,[],[f425]) ).
fof(f1503,plain,
( set_difference(sK38,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38))
| ~ upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| empty(sK38) ),
inference(subsumption_resolution,[],[f1489,f976]) ).
fof(f976,plain,
~ filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37))),
inference(consistent_polarity_flipping,[],[f745]) ).
fof(f745,plain,
filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37))),
inference(cnf_transformation,[],[f425]) ).
fof(f1489,plain,
( filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| set_difference(sK38,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38))
| ~ upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| empty(sK38) ),
inference(resolution,[],[f1250,f746]) ).
fof(f746,plain,
element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37))))),
inference(cnf_transformation,[],[f425]) ).
fof(f1250,plain,
! [X5] :
( ~ element(X5,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
| empty(X5)
| ~ upper_relstr_subset(X5,boole_POSet(cast_as_carrier_subset(sK37)))
| filtered_subset(X5,boole_POSet(cast_as_carrier_subset(sK37)))
| set_difference(X5,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),X5)) ),
inference(subsumption_resolution,[],[f1247,f1020]) ).
fof(f1247,plain,
! [X5] :
( filtered_subset(X5,boole_POSet(cast_as_carrier_subset(sK37)))
| ~ element(X5,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
| empty(X5)
| ~ upper_relstr_subset(X5,boole_POSet(cast_as_carrier_subset(sK37)))
| one_sorted_str(sK37)
| set_difference(X5,singleton(empty_set)) = filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),X5)) ),
inference(resolution,[],[f968,f1003]) ).
fof(f968,plain,
! [X0,X1] :
( ~ empty_carrier(X0)
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| one_sorted_str(X0)
| set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) ),
inference(consistent_polarity_flipping,[],[f606]) ).
fof(f606,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| empty(X1)
| set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| empty_carrier(X0)
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ! [X1] :
( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ! [X1] :
( set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| empty(X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f113,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0))) )
=> set_difference(X1,singleton(empty_set)) = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t14_yellow19) ).
fof(f747,plain,
sK38 != filter_of_net_str(sK37,net_of_bool_filter(sK37,cast_as_carrier_subset(sK37),sK38)),
inference(cnf_transformation,[],[f425]) ).
fof(f1951,plain,
( empty(cast_as_carrier_subset(sK37))
| sK38 = set_difference(sK38,singleton(empty_set)) ),
inference(resolution,[],[f1883,f941]) ).
fof(f941,plain,
! [X0,X1] :
( ~ in(X0,X1)
| set_difference(X1,singleton(X0)) = X1 ),
inference(consistent_polarity_flipping,[],[f608]) ).
fof(f608,plain,
! [X0,X1] :
( in(X0,X1)
| set_difference(X1,singleton(X0)) = X1 ),
inference(cnf_transformation,[],[f386]) ).
fof(f386,plain,
! [X0,X1] :
( ( set_difference(X1,singleton(X0)) = X1
| in(X0,X1) )
& ( ~ in(X0,X1)
| set_difference(X1,singleton(X0)) != X1 ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( set_difference(X1,singleton(X0)) = X1
<=> ~ in(X0,X1) ),
inference(rectify,[],[f125]) ).
fof(f125,axiom,
! [X1,X0] :
( ~ in(X1,X0)
<=> set_difference(X0,singleton(X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(f1883,plain,
( in(empty_set,sK38)
| empty(cast_as_carrier_subset(sK37)) ),
inference(forward_demodulation,[],[f1882,f1302]) ).
fof(f1302,plain,
! [X0] : empty_set = sK26(X0),
inference(resolution,[],[f629,f627]) ).
fof(f627,plain,
! [X0] : empty(sK26(X0)),
inference(cnf_transformation,[],[f397]) ).
fof(f397,plain,
! [X0] :
( element(sK26(X0),powerset(X0))
& empty(sK26(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f94,f396]) ).
fof(f396,plain,
! [X0] :
( ? [X1] :
( element(X1,powerset(X0))
& empty(X1) )
=> ( element(sK26(X0),powerset(X0))
& empty(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,axiom,
! [X0] :
? [X1] :
( element(X1,powerset(X0))
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f629,plain,
! [X0] :
( ~ empty(X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( empty_set = X0
| ~ empty(X0) ),
inference(ennf_transformation,[],[f126]) ).
fof(f126,axiom,
! [X0] :
( empty(X0)
=> empty_set = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f1882,plain,
! [X28] :
( empty(cast_as_carrier_subset(sK37))
| in(sK26(X28),sK38) ),
inference(subsumption_resolution,[],[f1881,f849]) ).
fof(f849,plain,
~ proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37))))),
inference(consistent_polarity_flipping,[],[f749]) ).
fof(f749,plain,
proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37))))),
inference(cnf_transformation,[],[f425]) ).
fof(f1881,plain,
! [X28] :
( in(sK26(X28),sK38)
| proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
| empty(cast_as_carrier_subset(sK37)) ),
inference(subsumption_resolution,[],[f1880,f976]) ).
fof(f1880,plain,
! [X28] :
( empty(cast_as_carrier_subset(sK37))
| in(sK26(X28),sK38)
| filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37))))) ),
inference(subsumption_resolution,[],[f1868,f748]) ).
fof(f1868,plain,
! [X28] :
( ~ upper_relstr_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| proper_element(sK38,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK37)))))
| filtered_subset(sK38,boole_POSet(cast_as_carrier_subset(sK37)))
| in(sK26(X28),sK38)
| empty(cast_as_carrier_subset(sK37)) ),
inference(resolution,[],[f1206,f746]) ).
fof(f1206,plain,
! [X2,X3,X4] :
( ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
| filtered_subset(X2,boole_POSet(X3))
| ~ upper_relstr_subset(X2,boole_POSet(X3))
| in(sK26(X4),X2)
| proper_element(X2,powerset(the_carrier(boole_POSet(X3))))
| empty(X3) ),
inference(subsumption_resolution,[],[f1203,f931]) ).
fof(f931,plain,
! [X0,X1] :
( ~ empty(X0)
| in(X1,X0) ),
inference(consistent_polarity_flipping,[],[f690]) ).
fof(f690,plain,
! [X0,X1] :
( ~ empty(X0)
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ empty(X0) ),
inference(ennf_transformation,[],[f139]) ).
fof(f139,plain,
! [X1,X0] :
~ ( empty(X0)
& in(X1,X0) ),
inference(rectify,[],[f127]) ).
fof(f127,axiom,
! [X1,X0] :
~ ( in(X0,X1)
& empty(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f1203,plain,
! [X2,X3,X4] :
( in(sK26(X4),X2)
| empty(X3)
| ~ element(X2,powerset(the_carrier(boole_POSet(X3))))
| filtered_subset(X2,boole_POSet(X3))
| ~ upper_relstr_subset(X2,boole_POSet(X3))
| proper_element(X2,powerset(the_carrier(boole_POSet(X3))))
| empty(X2) ),
inference(resolution,[],[f909,f627]) ).
fof(f909,plain,
! [X2,X0,X1] :
( ~ empty(X2)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X0)
| ~ upper_relstr_subset(X1,boole_POSet(X0))
| in(X2,X1)
| filtered_subset(X1,boole_POSet(X0))
| proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X1) ),
inference(consistent_polarity_flipping,[],[f467]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ empty(X2)
| ~ in(X2,X1)
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X0)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X1)
| ~ upper_relstr_subset(X1,boole_POSet(X0)) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( ! [X1] :
( ~ upper_relstr_subset(X1,boole_POSet(X0))
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ filtered_subset(X1,boole_POSet(X0))
| empty(X1)
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| ! [X2] :
( ~ in(X2,X1)
| ~ empty(X2) ) )
| empty(X0) ),
inference(flattening,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ~ in(X2,X1)
| ~ empty(X2) )
| ~ filtered_subset(X1,boole_POSet(X0))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
| empty(X1)
| ~ element(X1,powerset(the_carrier(boole_POSet(X0))))
| ~ upper_relstr_subset(X1,boole_POSet(X0)) )
| empty(X0) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,axiom,
! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( filtered_subset(X1,boole_POSet(X0))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& ~ empty(X1)
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0)) )
=> ! [X2] :
~ ( in(X2,X1)
& empty(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_yellow19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU394+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:21:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.54 % (22194)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (22193)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (22210)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.55 % (22209)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55 % (22195)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (22201)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.52/0.55 % (22195)Instruction limit reached!
% 1.52/0.55 % (22195)------------------------------
% 1.52/0.55 % (22195)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55 % (22195)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55 % (22195)Termination reason: Unknown
% 1.52/0.55 % (22195)Termination phase: Unused predicate definition removal
% 1.52/0.55
% 1.52/0.55 % (22195)Memory used [KB]: 1023
% 1.52/0.55 % (22195)Time elapsed: 0.003 s
% 1.52/0.55 % (22195)Instructions burned: 3 (million)
% 1.52/0.55 % (22195)------------------------------
% 1.52/0.55 % (22195)------------------------------
% 1.52/0.55 % (22203)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.52/0.56 % (22194)Instruction limit reached!
% 1.52/0.56 % (22194)------------------------------
% 1.52/0.56 % (22194)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56 % (22194)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56 % (22194)Termination reason: Unknown
% 1.52/0.56 % (22194)Termination phase: Property scanning
% 1.52/0.56
% 1.52/0.56 % (22194)Memory used [KB]: 1279
% 1.52/0.56 % (22194)Time elapsed: 0.007 s
% 1.52/0.56 % (22194)Instructions burned: 7 (million)
% 1.52/0.56 % (22194)------------------------------
% 1.52/0.56 % (22194)------------------------------
% 1.52/0.56 % (22191)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.57 % (22211)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.71/0.57 % (22202)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.71/0.58 % (22190)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.58 % (22192)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.71/0.58 % (22187)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.71/0.58 % (22196)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.71/0.58 % (22204)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.71/0.58 % (22188)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.58 % (22206)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.58 % (22212)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.71/0.58 % (22208)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.71/0.59 % (22214)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.71/0.59 % (22199)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.71/0.59 % (22216)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.71/0.59 % (22189)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.71/0.59 % (22197)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.71/0.59 % (22198)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.60 % (22200)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.71/0.60 % (22213)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.71/0.60 % (22205)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.71/0.60 % (22207)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.71/0.60 TRYING [1]
% 1.71/0.60 TRYING [2]
% 1.71/0.60 % (22215)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.71/0.61 % (22193)Instruction limit reached!
% 1.71/0.61 % (22193)------------------------------
% 1.71/0.61 % (22193)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (22193)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (22193)Termination reason: Unknown
% 1.71/0.61 % (22193)Termination phase: Finite model building SAT solving
% 1.71/0.61
% 1.71/0.61 % (22193)Memory used [KB]: 7291
% 1.71/0.61 % (22193)Time elapsed: 0.187 s
% 1.71/0.61 % (22193)Instructions burned: 52 (million)
% 1.71/0.61 % (22193)------------------------------
% 1.71/0.61 % (22193)------------------------------
% 1.71/0.62 % (22188)Refutation not found, incomplete strategy% (22188)------------------------------
% 1.71/0.62 % (22188)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.62 % (22188)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.62 % (22188)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.62
% 1.71/0.62 % (22188)Memory used [KB]: 6140
% 1.71/0.62 % (22188)Time elapsed: 0.163 s
% 1.71/0.62 % (22188)Instructions burned: 23 (million)
% 1.71/0.62 % (22188)------------------------------
% 1.71/0.62 % (22188)------------------------------
% 1.71/0.63 % (22219)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 1.71/0.63 TRYING [1]
% 2.16/0.63 TRYING [2]
% 2.16/0.65 % (22191)Instruction limit reached!
% 2.16/0.65 % (22191)------------------------------
% 2.16/0.65 % (22191)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 TRYING [1]
% 2.16/0.65 TRYING [2]
% 2.16/0.65 % (22189)Instruction limit reached!
% 2.16/0.65 % (22189)------------------------------
% 2.16/0.65 % (22189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.65 % (22189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.65 % (22189)Termination reason: Unknown
% 2.16/0.65 % (22189)Termination phase: Saturation
% 2.16/0.65
% 2.16/0.65 % (22189)Memory used [KB]: 1663
% 2.16/0.65 % (22189)Time elapsed: 0.235 s
% 2.16/0.65 % (22189)Instructions burned: 38 (million)
% 2.16/0.65 % (22189)------------------------------
% 2.16/0.65 % (22189)------------------------------
% 2.16/0.66 % (22192)Instruction limit reached!
% 2.16/0.66 % (22192)------------------------------
% 2.16/0.66 % (22192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (22196)Instruction limit reached!
% 2.16/0.66 % (22196)------------------------------
% 2.16/0.66 % (22196)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.16/0.66 % (22191)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.16/0.66 % (22191)Termination reason: Unknown
% 2.16/0.66 % (22191)Termination phase: Saturation
% 2.16/0.66
% 2.16/0.66 % (22191)Memory used [KB]: 7036
% 2.16/0.66 % (22191)Time elapsed: 0.220 s
% 2.16/0.66 % (22191)Instructions burned: 51 (million)
% 2.16/0.66 % (22191)------------------------------
% 2.16/0.66 % (22191)------------------------------
% 2.39/0.66 % (22192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.66 % (22192)Termination reason: Unknown
% 2.39/0.66 % (22192)Termination phase: Saturation
% 2.39/0.66
% 2.39/0.66 % (22192)Memory used [KB]: 6396
% 2.39/0.66 % (22192)Time elapsed: 0.240 s
% 2.39/0.66 % (22192)Instructions burned: 49 (million)
% 2.39/0.66 % (22192)------------------------------
% 2.39/0.66 % (22192)------------------------------
% 2.39/0.67 % (22204)Instruction limit reached!
% 2.39/0.67 % (22204)------------------------------
% 2.39/0.67 % (22204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.67 % (22204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (22204)Termination reason: Unknown
% 2.39/0.67 % (22204)Termination phase: Finite model building SAT solving
% 2.39/0.67
% 2.39/0.67 % (22204)Memory used [KB]: 7419
% 2.39/0.67 % (22204)Time elapsed: 0.198 s
% 2.39/0.67 % (22204)Instructions burned: 60 (million)
% 2.39/0.67 % (22204)------------------------------
% 2.39/0.67 % (22204)------------------------------
% 2.39/0.67 % (22196)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.67 % (22196)Termination reason: Unknown
% 2.39/0.67 % (22196)Termination phase: Saturation
% 2.39/0.67
% 2.39/0.67 % (22196)Memory used [KB]: 2430
% 2.39/0.67 % (22196)Time elapsed: 0.186 s
% 2.39/0.67 % (22196)Instructions burned: 51 (million)
% 2.39/0.67 % (22196)------------------------------
% 2.39/0.67 % (22196)------------------------------
% 2.39/0.68 % (22201)Instruction limit reached!
% 2.39/0.68 % (22201)------------------------------
% 2.39/0.68 % (22201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (22201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (22201)Termination reason: Unknown
% 2.39/0.68 % (22201)Termination phase: Saturation
% 2.39/0.68
% 2.39/0.68 % (22201)Memory used [KB]: 7291
% 2.39/0.68 % (22201)Time elapsed: 0.051 s
% 2.39/0.68 % (22201)Instructions burned: 68 (million)
% 2.39/0.68 % (22201)------------------------------
% 2.39/0.68 % (22201)------------------------------
% 2.39/0.68 % (22202)Instruction limit reached!
% 2.39/0.68 % (22202)------------------------------
% 2.39/0.68 % (22202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (22202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (22202)Termination reason: Unknown
% 2.39/0.68 % (22202)Termination phase: Saturation
% 2.39/0.68
% 2.39/0.68 % (22202)Memory used [KB]: 2302
% 2.39/0.68 % (22202)Time elapsed: 0.234 s
% 2.39/0.68 % (22202)Instructions burned: 75 (million)
% 2.39/0.68 % (22202)------------------------------
% 2.39/0.68 % (22202)------------------------------
% 2.39/0.68 % (22190)Instruction limit reached!
% 2.39/0.68 % (22190)------------------------------
% 2.39/0.68 % (22190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.68 % (22190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.68 % (22190)Termination reason: Unknown
% 2.39/0.68 % (22190)Termination phase: Saturation
% 2.39/0.68
% 2.39/0.68 % (22190)Memory used [KB]: 6780
% 2.39/0.68 % (22190)Time elapsed: 0.267 s
% 2.39/0.68 % (22190)Instructions burned: 52 (million)
% 2.39/0.68 % (22190)------------------------------
% 2.39/0.68 % (22190)------------------------------
% 2.39/0.68 TRYING [3]
% 2.39/0.68 % (22220)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.39/0.69 % (22197)Instruction limit reached!
% 2.39/0.69 % (22197)------------------------------
% 2.39/0.69 % (22197)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (22197)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (22197)Termination reason: Unknown
% 2.39/0.69 % (22197)Termination phase: Saturation
% 2.39/0.69
% 2.39/0.69 % (22197)Memory used [KB]: 6652
% 2.39/0.69 % (22197)Time elapsed: 0.272 s
% 2.39/0.69 % (22197)Instructions burned: 50 (million)
% 2.39/0.69 % (22197)------------------------------
% 2.39/0.69 % (22197)------------------------------
% 2.39/0.72 % (22206)First to succeed.
% 2.75/0.73 % (22206)Refutation found. Thanks to Tanya!
% 2.75/0.73 % SZS status Theorem for theBenchmark
% 2.75/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.75/0.73 % (22206)------------------------------
% 2.75/0.73 % (22206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.75/0.73 % (22206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.75/0.73 % (22206)Termination reason: Refutation
% 2.75/0.73
% 2.75/0.73 % (22206)Memory used [KB]: 2046
% 2.75/0.73 % (22206)Time elapsed: 0.311 s
% 2.75/0.73 % (22206)Instructions burned: 78 (million)
% 2.75/0.73 % (22206)------------------------------
% 2.75/0.73 % (22206)------------------------------
% 2.75/0.73 % (22186)Success in time 0.376 s
%------------------------------------------------------------------------------