TSTP Solution File: SEU321+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n002.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 09:22:17 EDT 2024
% Result : Theorem 0.57s 0.78s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% Number of atoms : 127 ( 5 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 138 ( 53 ~; 50 |; 17 &)
% ( 4 <=>; 12 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 40 ( 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,plain,
$false,
inference(avatar_sat_refutation,[],[f147,f148,f369,f384]) ).
fof(f384,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_contradiction_clause,[],[f383]) ).
fof(f383,plain,
( $false
| ~ spl9_1
| ~ spl9_2 ),
inference(subsumption_resolution,[],[f371,f141]) ).
fof(f141,plain,
( in(sK2,subset_complement(the_carrier(sK0),sK1))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl9_1
<=> in(sK2,subset_complement(the_carrier(sK0),sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f371,plain,
( ~ in(sK2,subset_complement(the_carrier(sK0),sK1))
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f79,f146,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ in(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0))
| ~ in(X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| ~ in(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0)) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ in(X1,X2)
| ~ in(X1,subset_complement(X0,X2))
| ~ element(X2,powerset(X0)) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1,X2] :
( element(X2,powerset(X0))
=> ~ ( in(X1,X2)
& in(X1,subset_complement(X0,X2)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663',t54_subset_1) ).
fof(f146,plain,
( in(sK2,sK1)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl9_2
<=> in(sK2,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f79,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,subset_complement(the_carrier(X0),X1))
<~> ~ in(X2,X1) )
& element(X2,the_carrier(X0)) )
& element(X1,powerset(the_carrier(X0))) )
& one_sorted_str(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,negated_conjecture,
~ ! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
inference(negated_conjecture,[],[f40]) ).
fof(f40,conjecture,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,subset_complement(the_carrier(X0),X1))
<=> ~ in(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663',l40_tops_1) ).
fof(f369,plain,
( spl9_1
| spl9_2 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f368,plain,
( $false
| spl9_1
| spl9_2 ),
inference(subsumption_resolution,[],[f367,f80]) ).
fof(f80,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f367,plain,
( empty_carrier(sK0)
| spl9_1
| spl9_2 ),
inference(subsumption_resolution,[],[f366,f81]) ).
fof(f81,plain,
one_sorted_str(sK0),
inference(cnf_transformation,[],[f45]) ).
fof(f366,plain,
( ~ one_sorted_str(sK0)
| empty_carrier(sK0)
| spl9_1
| spl9_2 ),
inference(subsumption_resolution,[],[f351,f131]) ).
fof(f131,plain,
empty(empty_set),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( v5_membered(empty_set)
& v4_membered(empty_set)
& v3_membered(empty_set)
& v2_membered(empty_set)
& v1_membered(empty_set)
& empty(empty_set) ),
file('/export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663',fc6_membered) ).
fof(f351,plain,
( ~ empty(empty_set)
| ~ one_sorted_str(sK0)
| empty_carrier(sK0)
| spl9_1
| spl9_2 ),
inference(superposition,[],[f82,f323]) ).
fof(f323,plain,
( empty_set = the_carrier(sK0)
| spl9_1
| spl9_2 ),
inference(unit_resulting_resolution,[],[f145,f78,f79,f142,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( in(X2,subset_complement(X0,X1))
| ~ element(X1,powerset(X0))
| ~ element(X2,X0)
| in(X2,X1)
| empty_set = X0 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( in(X2,subset_complement(X0,X1))
| in(X2,X1)
| ~ element(X2,X0) )
| ~ element(X1,powerset(X0)) )
| empty_set = X0 ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( empty_set != X0
=> ! [X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,X0)
=> ( ~ in(X2,X1)
=> in(X2,subset_complement(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663',t50_subset_1) ).
fof(f142,plain,
( ~ in(sK2,subset_complement(the_carrier(sK0),sK1))
| spl9_1 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f78,plain,
element(sK2,the_carrier(sK0)),
inference(cnf_transformation,[],[f45]) ).
fof(f145,plain,
( ~ in(sK2,sK1)
| spl9_2 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f82,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| ~ one_sorted_str(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ( one_sorted_str(X0)
& ~ empty_carrier(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663',fc1_struct_0) ).
fof(f148,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f76,f144,f140]) ).
fof(f76,plain,
( ~ in(sK2,sK1)
| in(sK2,subset_complement(the_carrier(sK0),sK1)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f147,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f77,f144,f140]) ).
fof(f77,plain,
( in(sK2,sK1)
| ~ in(sK2,subset_complement(the_carrier(sK0),sK1)) ),
inference(cnf_transformation,[],[f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU321+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.32 % Computer : n002.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 11:56:42 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.8mTTLrQBnV/Vampire---4.8_28663
% 0.57/0.78 % (28774)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.78 % (28776)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78 % (28773)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.57/0.78 % (28777)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.57/0.78 % (28772)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.57/0.78 % (28778)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.57/0.78 % (28779)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.57/0.78 % (28775)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.57/0.78 % (28777)Refutation not found, incomplete strategy% (28777)------------------------------
% 0.57/0.78 % (28777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (28777)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78
% 0.57/0.78 % (28777)Memory used [KB]: 1047
% 0.57/0.78 % (28777)Time elapsed: 0.003 s
% 0.57/0.78 % (28777)Instructions burned: 3 (million)
% 0.57/0.78 % (28779)Refutation not found, incomplete strategy% (28779)------------------------------
% 0.57/0.78 % (28779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (28779)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.78 % (28777)------------------------------
% 0.57/0.78 % (28777)------------------------------
% 0.57/0.78
% 0.57/0.78 % (28779)Memory used [KB]: 1042
% 0.57/0.78 % (28779)Time elapsed: 0.002 s
% 0.57/0.78 % (28779)Instructions burned: 3 (million)
% 0.57/0.78 % (28779)------------------------------
% 0.57/0.78 % (28779)------------------------------
% 0.57/0.78 % (28778)First to succeed.
% 0.57/0.78 % (28778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28771"
% 0.57/0.78 % (28780)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.57/0.78 % (28781)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.57/0.78 % (28778)Refutation found. Thanks to Tanya!
% 0.57/0.78 % SZS status Theorem for Vampire---4
% 0.57/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.78 % (28778)------------------------------
% 0.57/0.78 % (28778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.78 % (28778)Termination reason: Refutation
% 0.57/0.78
% 0.57/0.78 % (28778)Memory used [KB]: 1171
% 0.57/0.78 % (28778)Time elapsed: 0.006 s
% 0.57/0.78 % (28778)Instructions burned: 9 (million)
% 0.57/0.78 % (28771)Success in time 0.458 s
% 0.57/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------