TSTP Solution File: SEU174+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU174+2 : 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 : 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 : Sun May 5 09:20:44 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 53 ( 9 unt; 0 def)
% Number of atoms : 194 ( 42 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 242 ( 101 ~; 88 |; 36 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 94 ( 81 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f766,plain,
$false,
inference(avatar_sat_refutation,[],[f689,f765]) ).
fof(f765,plain,
~ spl31_8,
inference(avatar_contradiction_clause,[],[f764]) ).
fof(f764,plain,
( $false
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f750,f371]) ).
fof(f371,plain,
empty_set != sK4,
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( empty_set = complements_of_subsets(sK3,sK4)
& empty_set != sK4
& element(sK4,powerset(powerset(sK3))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f163,f229]) ).
fof(f229,plain,
( ? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) )
=> ( empty_set = complements_of_subsets(sK3,sK4)
& empty_set != sK4
& element(sK4,powerset(powerset(sK3))) ) ),
introduced(choice_axiom,[]) ).
fof(f163,plain,
? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
? [X0,X1] :
( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1 ) ),
inference(negated_conjecture,[],[f98]) ).
fof(f98,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ~ ( empty_set = complements_of_subsets(X0,X1)
& empty_set != X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',t46_setfam_1) ).
fof(f750,plain,
( empty_set = sK4
| ~ spl31_8 ),
inference(resolution,[],[f748,f398]) ).
fof(f398,plain,
! [X0] :
( in(sK7(X0),X0)
| empty_set = X0 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( empty_set = X0
| in(sK7(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f240,f241]) ).
fof(f241,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK7(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( empty_set = X0
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( empty_set = X0
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',d1_xboole_0) ).
fof(f748,plain,
( ! [X0] : ~ in(X0,sK4)
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f747,f619]) ).
fof(f619,plain,
! [X0] :
( element(X0,powerset(sK3))
| ~ in(X0,sK4) ),
inference(resolution,[],[f370,f431]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',t4_subset) ).
fof(f370,plain,
element(sK4,powerset(powerset(sK3))),
inference(cnf_transformation,[],[f230]) ).
fof(f747,plain,
( ! [X0] :
( ~ in(X0,sK4)
| ~ element(X0,powerset(sK3)) )
| ~ spl31_8 ),
inference(subsumption_resolution,[],[f746,f685]) ).
fof(f685,plain,
( element(empty_set,powerset(powerset(sK3)))
| ~ spl31_8 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl31_8
<=> element(empty_set,powerset(powerset(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl31_8])]) ).
fof(f746,plain,
! [X0] :
( ~ in(X0,sK4)
| ~ element(X0,powerset(sK3))
| ~ element(empty_set,powerset(powerset(sK3))) ),
inference(subsumption_resolution,[],[f745,f570]) ).
fof(f570,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f397]) ).
fof(f397,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f242]) ).
fof(f745,plain,
! [X0] :
( ~ in(X0,sK4)
| ~ element(X0,powerset(sK3))
| in(subset_complement(sK3,X0),empty_set)
| ~ element(empty_set,powerset(powerset(sK3))) ),
inference(subsumption_resolution,[],[f741,f370]) ).
fof(f741,plain,
! [X0] :
( ~ element(sK4,powerset(powerset(sK3)))
| ~ in(X0,sK4)
| ~ element(X0,powerset(sK3))
| in(subset_complement(sK3,X0),empty_set)
| ~ element(empty_set,powerset(powerset(sK3))) ),
inference(superposition,[],[f598,f690]) ).
fof(f690,plain,
sK4 = complements_of_subsets(sK3,empty_set),
inference(subsumption_resolution,[],[f677,f370]) ).
fof(f677,plain,
( sK4 = complements_of_subsets(sK3,empty_set)
| ~ element(sK4,powerset(powerset(sK3))) ),
inference(superposition,[],[f479,f372]) ).
fof(f372,plain,
empty_set = complements_of_subsets(sK3,sK4),
inference(cnf_transformation,[],[f230]) ).
fof(f479,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',involutiveness_k7_setfam_1) ).
fof(f598,plain,
! [X0,X1,X4] :
( ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ in(X4,complements_of_subsets(X0,X1))
| ~ element(X4,powerset(X0))
| in(subset_complement(X0,X4),X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(equality_resolution,[],[f481]) ).
fof(f481,plain,
! [X2,X0,X1,X4] :
( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2)
| ~ element(X4,powerset(X0))
| complements_of_subsets(X0,X1) != X2
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ( ( ~ in(subset_complement(X0,sK26(X0,X1,X2)),X1)
| ~ in(sK26(X0,X1,X2),X2) )
& ( in(subset_complement(X0,sK26(X0,X1,X2)),X1)
| in(sK26(X0,X1,X2),X2) )
& element(sK26(X0,X1,X2),powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f298,f299]) ).
fof(f299,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) )
=> ( ( ~ in(subset_complement(X0,sK26(X0,X1,X2)),X1)
| ~ in(sK26(X0,X1,X2),X2) )
& ( in(subset_complement(X0,sK26(X0,X1,X2)),X1)
| in(sK26(X0,X1,X2),X2) )
& element(sK26(X0,X1,X2),powerset(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X4] :
( ( ( in(X4,X2)
| ~ in(subset_complement(X0,X4),X1) )
& ( in(subset_complement(X0,X4),X1)
| ~ in(X4,X2) ) )
| ~ element(X4,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(rectify,[],[f297]) ).
fof(f297,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f296]) ).
fof(f296,plain,
! [X0,X1] :
( ! [X2] :
( ( ( complements_of_subsets(X0,X1) = X2
| ? [X3] :
( ( ~ in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) )
& ( in(subset_complement(X0,X3),X1)
| in(X3,X2) )
& element(X3,powerset(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ~ in(subset_complement(X0,X3),X1) )
& ( in(subset_complement(X0,X3),X1)
| ~ in(X3,X2) ) )
| ~ element(X3,powerset(X0)) )
| complements_of_subsets(X0,X1) != X2 ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(nnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0,X1] :
( ! [X2] :
( ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',d8_setfam_1) ).
fof(f689,plain,
spl31_8,
inference(avatar_split_clause,[],[f688,f684]) ).
fof(f688,plain,
element(empty_set,powerset(powerset(sK3))),
inference(subsumption_resolution,[],[f676,f370]) ).
fof(f676,plain,
( element(empty_set,powerset(powerset(sK3)))
| ~ element(sK4,powerset(powerset(sK3))) ),
inference(superposition,[],[f480,f372]) ).
fof(f480,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox/tmp/tmp.BNiWGVFe2F/Vampire---4.8_16739',dt_k7_setfam_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU174+2 : 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
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 11:27:25 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 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.BNiWGVFe2F/Vampire---4.8_16739
% 0.58/0.75 % (17010)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 % (17012)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 % (17011)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 % (17009)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 % (17015)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 % (17014)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 % (17008)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)
% 0.58/0.76 % (17013)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)
% 0.58/0.77 % (17013)First to succeed.
% 0.58/0.77 % (17013)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16994"
% 0.60/0.77 % (17013)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (17013)------------------------------
% 0.60/0.77 % (17013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (17013)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (17013)Memory used [KB]: 1378
% 0.60/0.77 % (17013)Time elapsed: 0.018 s
% 0.60/0.77 % (17013)Instructions burned: 21 (million)
% 0.60/0.77 % (16994)Success in time 0.406 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------