TSTP Solution File: SET882+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET882+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 : 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 09:08:57 EDT 2024
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 97 ( 57 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 122 ( 51 ~; 42 |; 22 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 41 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f40,f19]) ).
fof(f19,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( singleton(sK0) != set_difference(unordered_pair(sK0,sK1),singleton(sK1))
& sK0 != sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f11]) ).
fof(f11,plain,
( ? [X0,X1] :
( singleton(X0) != set_difference(unordered_pair(X0,X1),singleton(X1))
& X0 != X1 )
=> ( singleton(sK0) != set_difference(unordered_pair(sK0,sK1),singleton(sK1))
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0,X1] :
( singleton(X0) != set_difference(unordered_pair(X0,X1),singleton(X1))
& X0 != X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0,X1] :
( X0 != X1
=> singleton(X0) = set_difference(unordered_pair(X0,X1),singleton(X1)) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0,X1] :
( X0 != X1
=> singleton(X0) = set_difference(unordered_pair(X0,X1),singleton(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.TTCOwzS0B4/Vampire---4.8_24439',t23_zfmisc_1) ).
fof(f40,plain,
sK0 = sK1,
inference(resolution,[],[f39,f33]) ).
fof(f33,plain,
! [X3,X0] :
( ~ in(X3,singleton(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f22]) ).
fof(f22,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ in(X3,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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])],[f14,f15]) ).
fof(f15,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(f14,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,[],[f13]) ).
fof(f13,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.TTCOwzS0B4/Vampire---4.8_24439',d1_tarski) ).
fof(f39,plain,
in(sK0,singleton(sK1)),
inference(subsumption_resolution,[],[f38,f32]) ).
fof(f32,plain,
! [X3] : in(X3,singleton(X3)),
inference(equality_resolution,[],[f31]) ).
fof(f31,plain,
! [X3,X1] :
( in(X3,X1)
| singleton(X3) != X1 ),
inference(equality_resolution,[],[f23]) ).
fof(f23,plain,
! [X3,X0,X1] :
( in(X3,X1)
| X0 != X3
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f16]) ).
fof(f38,plain,
( ~ in(sK1,singleton(sK1))
| in(sK0,singleton(sK1)) ),
inference(trivial_inequality_removal,[],[f37]) ).
fof(f37,plain,
( singleton(sK0) != singleton(sK0)
| ~ in(sK1,singleton(sK1))
| in(sK0,singleton(sK1)) ),
inference(superposition,[],[f20,f28]) ).
fof(f28,plain,
! [X2,X0,X1] :
( singleton(X0) = set_difference(unordered_pair(X0,X1),X2)
| ~ in(X1,X2)
| in(X0,X2) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( singleton(X0) = set_difference(unordered_pair(X0,X1),X2)
| ( X0 != X1
& ~ in(X1,X2) )
| in(X0,X2) )
& ( ( ( X0 = X1
| in(X1,X2) )
& ~ in(X0,X2) )
| singleton(X0) != set_difference(unordered_pair(X0,X1),X2) ) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( singleton(X0) = set_difference(unordered_pair(X0,X1),X2)
| ( X0 != X1
& ~ in(X1,X2) )
| in(X0,X2) )
& ( ( ( X0 = X1
| in(X1,X2) )
& ~ in(X0,X2) )
| singleton(X0) != set_difference(unordered_pair(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( singleton(X0) = set_difference(unordered_pair(X0,X1),X2)
<=> ( ( X0 = X1
| in(X1,X2) )
& ~ in(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.TTCOwzS0B4/Vampire---4.8_24439',l39_zfmisc_1) ).
fof(f20,plain,
singleton(sK0) != set_difference(unordered_pair(sK0,sK1),singleton(sK1)),
inference(cnf_transformation,[],[f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET882+1 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % 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
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 17:03:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.21/0.37 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.TTCOwzS0B4/Vampire---4.8_24439
% 0.60/0.76 % (24837)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)
% 0.60/0.76 % (24837)Refutation not found, incomplete strategy% (24837)------------------------------
% 0.60/0.76 % (24837)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (24837)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (24837)Memory used [KB]: 970
% 0.60/0.76 % (24837)Time elapsed: 0.002 s
% 0.60/0.76 % (24837)Instructions burned: 2 (million)
% 0.60/0.76 % (24830)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)
% 0.60/0.76 % (24832)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (24834)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)
% 0.60/0.76 % (24837)------------------------------
% 0.60/0.76 % (24837)------------------------------
% 0.60/0.76 % (24835)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)
% 0.60/0.76 % (24831)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)
% 0.60/0.76 % (24833)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)
% 0.60/0.76 % (24836)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)
% 0.60/0.76 % (24834)Refutation not found, incomplete strategy% (24834)------------------------------
% 0.60/0.76 % (24834)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (24834)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (24834)Memory used [KB]: 972
% 0.60/0.76 % (24834)Time elapsed: 0.003 s
% 0.60/0.76 % (24834)Instructions burned: 3 (million)
% 0.60/0.76 % (24830)Refutation not found, incomplete strategy% (24830)------------------------------
% 0.60/0.76 % (24830)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (24835)First to succeed.
% 0.60/0.76 % (24830)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (24830)Memory used [KB]: 972
% 0.60/0.76 % (24830)Time elapsed: 0.003 s
% 0.60/0.76 % (24830)Instructions burned: 3 (million)
% 0.60/0.76 % (24834)------------------------------
% 0.60/0.76 % (24834)------------------------------
% 0.60/0.76 % (24836)Also succeeded, but the first one will report.
% 0.60/0.76 % (24830)------------------------------
% 0.60/0.76 % (24830)------------------------------
% 0.60/0.76 % (24835)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24689"
% 0.60/0.76 % (24839)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 (2996ds/55Mi)
% 0.60/0.76 % (24831)Also succeeded, but the first one will report.
% 0.60/0.76 % (24833)Also succeeded, but the first one will report.
% 0.60/0.76 % (24835)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Theorem for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (24835)------------------------------
% 0.60/0.76 % (24835)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (24835)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (24835)Memory used [KB]: 979
% 0.60/0.76 % (24835)Time elapsed: 0.004 s
% 0.60/0.76 % (24835)Instructions burned: 4 (million)
% 0.60/0.76 % (24689)Success in time 0.387 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------