TSTP Solution File: SET877+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET877+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 03:49:22 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 80 ( 50 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 90 ( 38 ~; 30 |; 15 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 46 ( 39 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(subsumption_resolution,[],[f44,f29]) ).
fof(f29,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f28]) ).
fof(f28,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ( ( sK2(X0,X1) != X0
| ~ in(sK2(X0,X1),X1) )
& ( sK2(X0,X1) = X0
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f16,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) )
=> ( ( sK2(X0,X1) != X0
| ~ in(sK2(X0,X1),X1) )
& ( sK2(X0,X1) = X0
| in(sK2(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( singleton(X0) = X1
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X0 = X2
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X0 = X2
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( singleton(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> X0 = X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.9RoPNwM8R1/Vampire---4.8_1484',d1_tarski) ).
fof(f44,plain,
~ in(singleton(sK0),singleton(singleton(sK0))),
inference(forward_demodulation,[],[f43,f19]) ).
fof(f19,plain,
singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( sK0 != sK1
& singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13]) ).
fof(f13,plain,
( ? [X0,X1] :
( X0 != X1
& singleton(X0) = set_intersection2(singleton(X0),singleton(X1)) )
=> ( sK0 != sK1
& singleton(sK0) = set_intersection2(singleton(sK0),singleton(sK1)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( X0 != X1
& singleton(X0) = set_intersection2(singleton(X0),singleton(X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
=> X0 = X1 ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X1] :
( singleton(X0) = set_intersection2(singleton(X0),singleton(X1))
=> X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.9RoPNwM8R1/Vampire---4.8_1484',t18_zfmisc_1) ).
fof(f43,plain,
~ in(singleton(sK0),singleton(set_intersection2(singleton(sK0),singleton(sK1)))),
inference(forward_demodulation,[],[f42,f22]) ).
fof(f22,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/tmp/tmp.9RoPNwM8R1/Vampire---4.8_1484',commutativity_k3_xboole_0) ).
fof(f42,plain,
~ in(singleton(sK0),singleton(set_intersection2(singleton(sK1),singleton(sK0)))),
inference(unit_resulting_resolution,[],[f37,f30]) ).
fof(f30,plain,
! [X3,X0] :
( X0 = X3
| ~ in(X3,singleton(X0)) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
singleton(sK0) != set_intersection2(singleton(sK1),singleton(sK0)),
inference(unit_resulting_resolution,[],[f32,f23]) ).
fof(f23,plain,
! [X0,X1] :
( singleton(X1) != set_intersection2(X0,singleton(X1))
| in(X1,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( in(X1,X0)
| singleton(X1) != set_intersection2(X0,singleton(X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( singleton(X1) = set_intersection2(X0,singleton(X1))
=> in(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.9RoPNwM8R1/Vampire---4.8_1484',l30_zfmisc_1) ).
fof(f32,plain,
~ in(sK0,singleton(sK1)),
inference(unit_resulting_resolution,[],[f20,f30]) ).
fof(f20,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET877+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.12 % 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
% 0.11/0.32 % Computer : n003.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 17:24:03 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.9RoPNwM8R1/Vampire---4.8_1484
% 0.60/0.80 % (1596)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)
% 0.60/0.80 % (1595)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80 % (1593)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)
% 0.60/0.80 % (1597)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)
% 0.60/0.80 % (1594)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)
% 0.60/0.80 % (1598)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)
% 0.60/0.80 % (1599)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)
% 0.60/0.80 % (1600)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)
% 0.60/0.80 % (1600)Refutation not found, incomplete strategy% (1600)------------------------------
% 0.60/0.80 % (1600)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (1597)Refutation not found, incomplete strategy% (1597)------------------------------
% 0.60/0.80 % (1597)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (1600)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (1600)Memory used [KB]: 966
% 0.60/0.80 % (1600)Time elapsed: 0.002 s
% 0.60/0.80 % (1600)Instructions burned: 2 (million)
% 0.60/0.80 % (1600)------------------------------
% 0.60/0.80 % (1600)------------------------------
% 0.60/0.80 % (1597)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (1597)Memory used [KB]: 969
% 0.60/0.80 % (1597)Time elapsed: 0.003 s
% 0.60/0.80 % (1597)Instructions burned: 2 (million)
% 0.60/0.80 % (1597)------------------------------
% 0.60/0.80 % (1597)------------------------------
% 0.60/0.80 % (1598)Refutation not found, incomplete strategy% (1598)------------------------------
% 0.60/0.80 % (1598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (1598)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (1598)Memory used [KB]: 968
% 0.60/0.80 % (1598)Time elapsed: 0.003 s
% 0.60/0.80 % (1598)Instructions burned: 2 (million)
% 0.60/0.80 % (1593)Refutation not found, incomplete strategy% (1593)------------------------------
% 0.60/0.80 % (1593)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (1593)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (1593)Memory used [KB]: 970
% 0.60/0.80 % (1593)Time elapsed: 0.003 s
% 0.60/0.80 % (1593)Instructions burned: 3 (million)
% 0.60/0.80 % (1593)------------------------------
% 0.60/0.80 % (1593)------------------------------
% 0.60/0.80 % (1598)------------------------------
% 0.60/0.80 % (1598)------------------------------
% 0.60/0.80 % (1596)First to succeed.
% 0.60/0.80 % (1594)Also succeeded, but the first one will report.
% 0.60/0.80 % (1596)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.80 % (1596)------------------------------
% 0.60/0.80 % (1596)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80 % (1596)Termination reason: Refutation
% 0.60/0.80
% 0.60/0.80 % (1596)Memory used [KB]: 968
% 0.60/0.80 % (1596)Time elapsed: 0.004 s
% 0.60/0.80 % (1596)Instructions burned: 4 (million)
% 0.60/0.80 % (1596)------------------------------
% 0.60/0.80 % (1596)------------------------------
% 0.60/0.80 % (1592)Success in time 0.472 s
% 0.60/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------