TSTP Solution File: SEU387+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU387+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:52:33 EDT 2024
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 50 ( 23 unt; 0 def)
% Number of atoms : 211 ( 6 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 266 ( 105 ~; 90 |; 62 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-1 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f348,plain,
$false,
inference(subsumption_resolution,[],[f347,f308]) ).
fof(f308,plain,
in(empty_set,sK1),
inference(superposition,[],[f144,f274]) ).
fof(f274,plain,
empty_set = sK2,
inference(unit_resulting_resolution,[],[f258,f145,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ empty(X1)
| X0 = X1
| ~ empty(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0,X1] :
~ ( empty(X1)
& X0 != X1
& empty(X0) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',t8_boole) ).
fof(f145,plain,
empty(sK2),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( empty(X2)
& in(X2,X1) )
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0))
& filtered_subset(X1,boole_POSet(X0))
& ~ empty(X1) )
& ~ empty(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( empty(X2)
& in(X2,X1) )
& element(X1,powerset(the_carrier(boole_POSet(X0))))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0))
& filtered_subset(X1,boole_POSet(X0))
& ~ empty(X1) )
& ~ empty(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,negated_conjecture,
~ ! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0))
& filtered_subset(X1,boole_POSet(X0))
& ~ empty(X1) )
=> ! [X2] :
~ ( empty(X2)
& in(X2,X1) ) ) ),
inference(negated_conjecture,[],[f78]) ).
fof(f78,conjecture,
! [X0] :
( ~ empty(X0)
=> ! [X1] :
( ( element(X1,powerset(the_carrier(boole_POSet(X0))))
& proper_element(X1,powerset(the_carrier(boole_POSet(X0))))
& upper_relstr_subset(X1,boole_POSet(X0))
& filtered_subset(X1,boole_POSet(X0))
& ~ empty(X1) )
=> ! [X2] :
~ ( empty(X2)
& in(X2,X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',t2_yellow19) ).
fof(f258,plain,
empty(empty_set),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
empty(empty_set),
inference(pure_predicate_removal,[],[f45]) ).
fof(f45,axiom,
( relation(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',fc4_relat_1) ).
fof(f144,plain,
in(sK2,sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f347,plain,
~ in(empty_set,sK1),
inference(forward_demodulation,[],[f346,f225]) ).
fof(f225,plain,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] : empty_set = bottom_of_relstr(boole_POSet(X0)),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',t18_yellow_1) ).
fof(f346,plain,
~ in(bottom_of_relstr(boole_POSet(sK0)),sK1),
inference(subsumption_resolution,[],[f345,f173]) ).
fof(f173,plain,
! [X0] : ~ empty_carrier(boole_POSet(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',fc7_yellow_1) ).
fof(f345,plain,
( ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f344,f150]) ).
fof(f150,plain,
element(sK1,powerset(the_carrier(boole_POSet(sK0)))),
inference(cnf_transformation,[],[f99]) ).
fof(f344,plain,
( ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f343,f148]) ).
fof(f148,plain,
upper_relstr_subset(sK1,boole_POSet(sK0)),
inference(cnf_transformation,[],[f99]) ).
fof(f343,plain,
( ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f342,f147]) ).
fof(f147,plain,
filtered_subset(sK1,boole_POSet(sK0)),
inference(cnf_transformation,[],[f99]) ).
fof(f342,plain,
( ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f341,f146]) ).
fof(f146,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f99]) ).
fof(f341,plain,
( empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f340,f177]) ).
fof(f177,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0] : rel_str(boole_POSet(X0)),
inference(pure_predicate_removal,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( rel_str(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',dt_k3_yellow_1) ).
fof(f340,plain,
( ~ rel_str(boole_POSet(sK0))
| empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f339,f167]) ).
fof(f167,plain,
! [X0] : lower_bounded_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
inference(pure_predicate_removal,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( complete_relstr(boole_POSet(X0))
& with_infima_relstr(boole_POSet(X0))
& with_suprema_relstr(boole_POSet(X0))
& bounded_relstr(boole_POSet(X0))
& upper_bounded_relstr(boole_POSet(X0))
& lower_bounded_relstr(boole_POSet(X0))
& antisymmetric_relstr(boole_POSet(X0))
& transitive_relstr(boole_POSet(X0))
& reflexive_relstr(boole_POSet(X0))
& strict_rel_str(boole_POSet(X0))
& ~ empty_carrier(boole_POSet(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',fc8_yellow_1) ).
fof(f339,plain,
( ~ lower_bounded_relstr(boole_POSet(sK0))
| ~ rel_str(boole_POSet(sK0))
| empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f338,f176]) ).
fof(f176,plain,
! [X0] : antisymmetric_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f338,plain,
( ~ antisymmetric_relstr(boole_POSet(sK0))
| ~ lower_bounded_relstr(boole_POSet(sK0))
| ~ rel_str(boole_POSet(sK0))
| empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f337,f175]) ).
fof(f175,plain,
! [X0] : transitive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f337,plain,
( ~ transitive_relstr(boole_POSet(sK0))
| ~ antisymmetric_relstr(boole_POSet(sK0))
| ~ lower_bounded_relstr(boole_POSet(sK0))
| ~ rel_str(boole_POSet(sK0))
| empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(subsumption_resolution,[],[f336,f174]) ).
fof(f174,plain,
! [X0] : reflexive_relstr(boole_POSet(X0)),
inference(cnf_transformation,[],[f93]) ).
fof(f336,plain,
( ~ reflexive_relstr(boole_POSet(sK0))
| ~ transitive_relstr(boole_POSet(sK0))
| ~ antisymmetric_relstr(boole_POSet(sK0))
| ~ lower_bounded_relstr(boole_POSet(sK0))
| ~ rel_str(boole_POSet(sK0))
| empty(sK1)
| ~ filtered_subset(sK1,boole_POSet(sK0))
| ~ upper_relstr_subset(sK1,boole_POSet(sK0))
| ~ element(sK1,powerset(the_carrier(boole_POSet(sK0))))
| ~ in(bottom_of_relstr(boole_POSet(sK0)),sK1)
| empty_carrier(boole_POSet(sK0)) ),
inference(resolution,[],[f149,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(X0)))
| ~ reflexive_relstr(X0)
| ~ transitive_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ lower_bounded_relstr(X0)
| ~ rel_str(X0)
| empty(X1)
| ~ filtered_subset(X1,X0)
| ~ upper_relstr_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ in(bottom_of_relstr(X0),X1)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0)
| empty(X1) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) )
| ~ element(X1,powerset(the_carrier(X0)))
| ~ upper_relstr_subset(X1,X0)
| ~ filtered_subset(X1,X0)
| empty(X1) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| ~ transitive_relstr(X0)
| ~ reflexive_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603',t8_waybel_7) ).
fof(f149,plain,
proper_element(sK1,powerset(the_carrier(boole_POSet(sK0)))),
inference(cnf_transformation,[],[f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU387+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n016.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:47:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.sDhWkKliEd/Vampire---4.8_27603
% 0.57/0.75 % (27863)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)
% 0.57/0.75 % (27857)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)
% 0.57/0.75 % (27858)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)
% 0.57/0.75 % (27860)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)
% 0.57/0.75 % (27859)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (27861)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)
% 0.57/0.75 % (27862)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)
% 0.57/0.75 % (27863)First to succeed.
% 0.57/0.75 % (27862)Also succeeded, but the first one will report.
% 0.57/0.75 % (27863)Refutation found. Thanks to Tanya!
% 0.57/0.75 % SZS status Theorem for Vampire---4
% 0.57/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.75 % (27863)------------------------------
% 0.57/0.75 % (27863)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27863)Termination reason: Refutation
% 0.57/0.75
% 0.57/0.75 % (27863)Memory used [KB]: 1209
% 0.57/0.75 % (27863)Time elapsed: 0.005 s
% 0.57/0.75 % (27863)Instructions burned: 11 (million)
% 0.57/0.75 % (27863)------------------------------
% 0.57/0.75 % (27863)------------------------------
% 0.57/0.75 % (27853)Success in time 0.378 s
% 0.57/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.57/0.75 27853 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.sDhWkKliEd/Vampire---4.8_27603
% 0.57/0.75 % (27853)------------------------------
% 0.57/0.75 % (27853)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (27853)Termination reason: Unknown
% 0.57/0.75 % (27853)Termination phase: Unknown
% 0.57/0.75
% 0.57/0.75 % (27853)Memory used [KB]: 473
% 0.57/0.75 % (27853)Time elapsed: 0.378 s
% 0.57/0.75 % (27853)Instructions burned: 960 (million)
% 0.57/0.75 % (27853)------------------------------
% 0.57/0.75 % (27853)------------------------------
% 0.57/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 ???
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------