TSTP Solution File: SET947+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n025.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 03:49:35 EDT 2024
% Result : Theorem 0.60s 0.81s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 30 ( 7 unt; 1 typ; 0 def)
% Number of atoms : 159 ( 8 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 115 ( 45 ~; 42 |; 19 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 60 ( 60 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 63 ( 54 !; 8 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_4,type,
sQ3_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f69,plain,
$false,
inference(resolution,[],[f60,f24]) ).
tff(f24,plain,
~ subset(sK0,powerset(union(sK0))),
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
~ subset(sK0,powerset(union(sK0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f14]) ).
tff(f14,plain,
( ? [X0] : ~ subset(X0,powerset(union(X0)))
=> ~ subset(sK0,powerset(union(sK0))) ),
introduced(choice_axiom,[]) ).
tff(f11,plain,
? [X0] : ~ subset(X0,powerset(union(X0))),
inference(ennf_transformation,[],[f9]) ).
tff(f9,negated_conjecture,
~ ! [X0] : subset(X0,powerset(union(X0))),
inference(negated_conjecture,[],[f8]) ).
tff(f8,conjecture,
! [X0] : subset(X0,powerset(union(X0))),
file('/export/starexec/sandbox2/tmp/tmp.2wKFuq7GFw/Vampire---4.8_19141',t100_zfmisc_1) ).
tff(f60,plain,
! [X0: $i] : subset(X0,powerset(union(X0))),
inference(duplicate_literal_removal,[],[f57]) ).
tff(f57,plain,
! [X0: $i] :
( subset(X0,powerset(union(X0)))
| subset(X0,powerset(union(X0))) ),
inference(resolution,[],[f49,f32]) ).
tff(f32,plain,
! [X0: $i,X1: $i] :
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f22]) ).
tff(f22,plain,
! [X0,X1] :
( ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) )
=> ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
tff(f21,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f20]) ).
tff(f20,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
tff(f13,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2wKFuq7GFw/Vampire---4.8_19141',d3_tarski) ).
tff(f49,plain,
! [X0: $i,X1: $i] :
( ~ in(sK2(X0,powerset(union(X1))),X1)
| subset(X0,powerset(union(X1))) ),
inference(resolution,[],[f44,f29]) ).
tff(f29,plain,
! [X0: $i,X1: $i] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0,X1] :
( subset(X0,union(X1))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0,X1] :
( in(X0,X1)
=> subset(X0,union(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.2wKFuq7GFw/Vampire---4.8_19141',l50_zfmisc_1) ).
tff(f44,plain,
! [X0: $i,X1: $i] :
( ~ subset(sK2(X0,powerset(X1)),X1)
| subset(X0,powerset(X1)) ),
inference(resolution,[],[f33,f34]) ).
tff(f34,plain,
! [X3: $i,X0: $i] :
( in(X3,powerset(X0))
| ~ subset(X3,X0) ),
inference(equality_resolution,[],[f26]) ).
tff(f26,plain,
! [X3: $i,X0: $i,X1: $i] :
( in(X3,X1)
| ~ subset(X3,X0)
| ( powerset(X0) != X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ( ( ~ subset(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( subset(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f18]) ).
tff(f18,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK1(X0,X1),X0)
| ~ in(sK1(X0,X1),X1) )
& ( subset(sK1(X0,X1),X0)
| in(sK1(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f17,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(rectify,[],[f16]) ).
tff(f16,plain,
! [X0,X1] :
( ( ( powerset(X0) = X1 )
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| ( powerset(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0,X1] :
( ( powerset(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2wKFuq7GFw/Vampire---4.8_19141',d1_zfmisc_1) ).
tff(f33,plain,
! [X0: $i,X1: $i] :
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET947+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.12 % 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 : n025.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 : Tue Apr 30 17:34:26 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.2wKFuq7GFw/Vampire---4.8_19141
% 0.60/0.81 % (19256)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)
% 0.60/0.81 % (19258)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (19259)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)
% 0.60/0.81 % (19257)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)
% 0.60/0.81 % (19260)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)
% 0.60/0.81 % (19261)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)
% 0.60/0.81 % (19262)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)
% 0.60/0.81 % (19259)Refutation not found, incomplete strategy% (19259)------------------------------
% 0.60/0.81 % (19259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19259)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19259)Memory used [KB]: 948
% 0.60/0.81 % (19259)Time elapsed: 0.002 s
% 0.60/0.81 % (19259)Instructions burned: 2 (million)
% 0.60/0.81 % (19259)------------------------------
% 0.60/0.81 % (19259)------------------------------
% 0.60/0.81 % (19261)Refutation not found, incomplete strategy% (19261)------------------------------
% 0.60/0.81 % (19261)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19261)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19261)Memory used [KB]: 950
% 0.60/0.81 % (19261)Time elapsed: 0.002 s
% 0.60/0.81 % (19261)Instructions burned: 2 (million)
% 0.60/0.81 % (19263)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)
% 0.60/0.81 % (19261)------------------------------
% 0.60/0.81 % (19261)------------------------------
% 0.60/0.81 % (19260)Refutation not found, incomplete strategy% (19260)------------------------------
% 0.60/0.81 % (19260)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19260)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19260)Memory used [KB]: 970
% 0.60/0.81 % (19260)Time elapsed: 0.003 s
% 0.60/0.81 % (19260)Instructions burned: 2 (million)
% 0.60/0.81 % (19260)------------------------------
% 0.60/0.81 % (19260)------------------------------
% 0.60/0.81 % (19262)Refutation not found, incomplete strategy% (19262)------------------------------
% 0.60/0.81 % (19262)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19262)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19262)Memory used [KB]: 965
% 0.60/0.81 % (19262)Time elapsed: 0.003 s
% 0.60/0.81 % (19262)Instructions burned: 2 (million)
% 0.60/0.81 % (19262)------------------------------
% 0.60/0.81 % (19262)------------------------------
% 0.60/0.81 % (19263)Refutation not found, incomplete strategy% (19263)------------------------------
% 0.60/0.81 % (19263)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19256)First to succeed.
% 0.60/0.81 % (19263)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (19263)Memory used [KB]: 965
% 0.60/0.81 % (19263)Time elapsed: 0.002 s
% 0.60/0.81 % (19263)Instructions burned: 2 (million)
% 0.60/0.81 % (19263)------------------------------
% 0.60/0.81 % (19263)------------------------------
% 0.60/0.81 % (19258)Also succeeded, but the first one will report.
% 0.60/0.81 % (19256)Refutation found. Thanks to Tanya!
% 0.60/0.81 % SZS status Theorem for Vampire---4
% 0.60/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (19256)------------------------------
% 0.60/0.81 % (19256)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81 % (19256)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (19256)Memory used [KB]: 995
% 0.60/0.81 % (19256)Time elapsed: 0.004 s
% 0.60/0.81 % (19256)Instructions burned: 4 (million)
% 0.60/0.81 % (19256)------------------------------
% 0.60/0.81 % (19256)------------------------------
% 0.60/0.81 % (19254)Success in time 0.478 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------