TSTP Solution File: SET867+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET867+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 : n018.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 03:49:21 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 170 ( 22 equ)
% Maximal formula atoms : 14 ( 6 avg)
% Number of connectives : 122 ( 45 ~; 42 |; 27 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 66 ( 66 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 : 65 ( 49 !; 15 ?; 15 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_3,type,
sQ4_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f46,plain,
$false,
inference(resolution,[],[f45,f42]) ).
tff(f42,plain,
in(sK3(union(empty_set)),union(empty_set)),
inference(resolution,[],[f39,f35]) ).
tff(f35,plain,
~ sQ4_eqProxy($i,empty_set,union(empty_set)),
inference(equality_proxy_replacement,[],[f21,f34]) ).
tff(f34,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ4_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ4_eqProxy])]) ).
tff(f21,plain,
empty_set != union(empty_set),
inference(cnf_transformation,[],[f9]) ).
tff(f9,plain,
empty_set != union(empty_set),
inference(flattening,[],[f8]) ).
tff(f8,negated_conjecture,
( ~ empty_set = union(empty_set) ),
inference(negated_conjecture,[],[f7]) ).
tff(f7,conjecture,
empty_set = union(empty_set),
file('/export/starexec/sandbox2/tmp/tmp.iiPVmXzVeo/Vampire---4.8_19019',t2_zfmisc_1) ).
tff(f39,plain,
! [X0: $i] :
( sQ4_eqProxy($i,empty_set,X0)
| in(sK3(X0),X0) ),
inference(equality_proxy_replacement,[],[f29,f34]) ).
tff(f29,plain,
! [X0: $i] :
( ( empty_set = X0 )
| in(sK3(X0),X0) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0] :
( ( ( empty_set = X0 )
| in(sK3(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| ( empty_set != X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f18,f19]) ).
tff(f19,plain,
! [X0] :
( ? [X1] : in(X1,X0)
=> in(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
tff(f18,plain,
! [X0] :
( ( ( empty_set = X0 )
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| ( empty_set != X0 ) ) ),
inference(rectify,[],[f17]) ).
tff(f17,plain,
! [X0] :
( ( ( empty_set = X0 )
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| ( empty_set != X0 ) ) ),
inference(nnf_transformation,[],[f2]) ).
tff(f2,axiom,
! [X0] :
( ( empty_set = X0 )
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.iiPVmXzVeo/Vampire---4.8_19019',d1_xboole_0) ).
tff(f45,plain,
! [X0: $i] : ~ in(X0,union(empty_set)),
inference(resolution,[],[f31,f33]) ).
tff(f33,plain,
! [X2: $i] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f28]) ).
tff(f28,plain,
! [X2: $i,X0: $i] :
( ~ in(X2,X0)
| ( empty_set != X0 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f31,plain,
! [X0: $i,X5: $i] :
( in(sK2(X0,X5),X0)
| ~ in(X5,union(X0)) ),
inference(equality_resolution,[],[f23]) ).
tff(f23,plain,
! [X0: $i,X1: $i,X5: $i] :
( in(sK2(X0,X5),X0)
| ~ in(X5,X1)
| ( union(X0) != X1 ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,plain,
! [X0,X1] :
( ( ( union(X0) = X1 )
| ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK0(X0,X1),X3) )
| ~ in(sK0(X0,X1),X1) )
& ( ( in(sK1(X0,X1),X0)
& in(sK0(X0,X1),sK1(X0,X1)) )
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ( in(sK2(X0,X5),X0)
& in(X5,sK2(X0,X5)) )
| ~ in(X5,X1) ) )
| ( union(X0) != X1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f12,f15,f14,f13]) ).
tff(f13,plain,
! [X0,X1] :
( ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) )
=> ( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(sK0(X0,X1),X3) )
| ~ in(sK0(X0,X1),X1) )
& ( ? [X4] :
( in(X4,X0)
& in(sK0(X0,X1),X4) )
| in(sK0(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f14,plain,
! [X0,X1] :
( ? [X4] :
( in(X4,X0)
& in(sK0(X0,X1),X4) )
=> ( in(sK1(X0,X1),X0)
& in(sK0(X0,X1),sK1(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
tff(f15,plain,
! [X0,X5] :
( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
=> ( in(sK2(X0,X5),X0)
& in(X5,sK2(X0,X5)) ) ),
introduced(choice_axiom,[]) ).
tff(f12,plain,
! [X0,X1] :
( ( ( union(X0) = X1 )
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,X0)
& in(X2,X4) )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,X0)
| ~ in(X5,X6) ) )
& ( ? [X7] :
( in(X7,X0)
& in(X5,X7) )
| ~ in(X5,X1) ) )
| ( union(X0) != X1 ) ) ),
inference(rectify,[],[f11]) ).
tff(f11,plain,
! [X0,X1] :
( ( ( union(X0) = X1 )
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,X0)
| ~ in(X2,X3) ) )
& ( ? [X3] :
( in(X3,X0)
& in(X2,X3) )
| ~ in(X2,X1) ) )
| ( union(X0) != X1 ) ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0,X1] :
( ( union(X0) = X1 )
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,X0)
& in(X2,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.iiPVmXzVeo/Vampire---4.8_19019',d4_tarski) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET867+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % 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
% 0.12/0.32 % Computer : n018.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 17:32:28 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.iiPVmXzVeo/Vampire---4.8_19019
% 0.60/0.78 % (19133)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.78 % (19134)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)
% 0.60/0.78 % (19131)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)
% 0.60/0.78 % (19135)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)
% 0.60/0.78 % (19136)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)
% 0.60/0.78 % (19138)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)
% 0.60/0.78 % (19137)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)
% 0.60/0.78 % (19132)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)
% 0.60/0.78 % (19131)First to succeed.
% 0.60/0.78 % (19136)Refutation not found, incomplete strategy% (19136)------------------------------
% 0.60/0.78 % (19136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (19136)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (19136)Memory used [KB]: 953
% 0.60/0.78 % (19136)Time elapsed: 0.003 s
% 0.60/0.78 % (19136)Instructions burned: 2 (million)
% 0.60/0.78 % (19136)------------------------------
% 0.60/0.78 % (19136)------------------------------
% 0.60/0.78 % (19138)Refutation not found, incomplete strategy% (19138)------------------------------
% 0.60/0.78 % (19138)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (19138)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78
% 0.60/0.78 % (19138)Memory used [KB]: 969
% 0.60/0.78 % (19138)Time elapsed: 0.002 s
% 0.60/0.78 % (19138)Instructions burned: 2 (million)
% 0.60/0.78 % (19138)------------------------------
% 0.60/0.78 % (19138)------------------------------
% 0.60/0.79 % (19134)Also succeeded, but the first one will report.
% 0.60/0.79 % (19131)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for Vampire---4
% 0.60/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.79 % (19131)------------------------------
% 0.60/0.79 % (19131)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.79 % (19131)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (19131)Memory used [KB]: 977
% 0.60/0.79 % (19131)Time elapsed: 0.004 s
% 0.60/0.79 % (19131)Instructions burned: 3 (million)
% 0.60/0.79 % (19131)------------------------------
% 0.60/0.79 % (19131)------------------------------
% 0.60/0.79 % (19130)Success in time 0.455 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------