TSTP Solution File: SYN413+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n017.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 04:34:21 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 79 ( 30 ~; 22 |; 20 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 48 ( 34 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,plain,
$false,
inference(resolution,[],[f22,f13]) ).
fof(f13,plain,
! [X1] : f(X1,sK0),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] : f(X1,sK0)
& ! [X2,X4] :
( ( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,sK1(X2)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7]) ).
fof(f7,plain,
( ? [X0] :
! [X1] : f(X1,X0)
=> ! [X1] : f(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
! [X2] :
( ? [X3] :
! [X4] :
( ( f(X4,X3)
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,X3) ) )
=> ! [X4] :
( ( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,sK1(X2)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f6,plain,
( ? [X0] :
! [X1] : f(X1,X0)
& ! [X2] :
? [X3] :
! [X4] :
( ( f(X4,X3)
| f(X4,X4)
| ~ f(X4,X2) )
& ( ( ~ f(X4,X4)
& f(X4,X2) )
| ~ f(X4,X3) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X1)
| f(X2,X2)
| ~ f(X2,X0) )
& ( ( ~ f(X2,X2)
& f(X2,X0) )
| ~ f(X2,X1) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( ( f(X2,X1)
| f(X2,X2)
| ~ f(X2,X0) )
& ( ( ~ f(X2,X2)
& f(X2,X0) )
| ~ f(X2,X1) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,plain,
( ? [X3] :
! [X4] : f(X4,X3)
& ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
? [X1] :
! [X2] :
( f(X2,X1)
<=> ( ~ f(X2,X2)
& f(X2,X0) ) )
=> ~ ? [X3] :
! [X4] : f(X4,X3) ),
file('/export/starexec/sandbox/tmp/tmp.4laC68ZNNW/Vampire---4.8_6780',kalish256) ).
fof(f22,plain,
! [X0] : ~ f(sK1(X0),X0),
inference(subsumption_resolution,[],[f21,f15]) ).
fof(f15,plain,
! [X0] : ~ f(sK1(X0),sK1(X0)),
inference(factoring,[],[f11]) ).
fof(f11,plain,
! [X2,X4] :
( ~ f(X4,X4)
| ~ f(X4,sK1(X2)) ),
inference(cnf_transformation,[],[f9]) ).
fof(f21,plain,
! [X0] :
( f(sK1(X0),sK1(X0))
| ~ f(sK1(X0),X0) ),
inference(resolution,[],[f15,f12]) ).
fof(f12,plain,
! [X2,X4] :
( f(X4,sK1(X2))
| f(X4,X4)
| ~ f(X4,X2) ),
inference(cnf_transformation,[],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN413+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n017.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 16:56:49 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.16/0.37 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.4laC68ZNNW/Vampire---4.8_6780
% 0.57/0.75 % (7041)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)
% 0.57/0.76 % (7041)First to succeed.
% 0.57/0.76 % (7040)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)
% 0.57/0.76 % (7034)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)
% 0.57/0.76 % (7036)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (7035)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)
% 0.57/0.76 % (7037)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)
% 0.57/0.76 % (7038)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)
% 0.57/0.76 % (7039)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)
% 0.57/0.76 % (7041)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (7041)------------------------------
% 0.57/0.76 % (7041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (7041)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (7041)Memory used [KB]: 972
% 0.57/0.76 % (7041)Time elapsed: 0.002 s
% 0.57/0.76 % (7041)Instructions burned: 3 (million)
% 0.57/0.76 % (7041)------------------------------
% 0.57/0.76 % (7041)------------------------------
% 0.57/0.76 % (7029)Success in time 0.386 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------