TSTP Solution File: NUM568+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n016.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 : Thu Aug 31 12:11:28 EDT 2023
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 49 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 19 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 17 (; 11 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f785,plain,
$false,
inference(subsumption_resolution,[],[f784,f347]) ).
fof(f347,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmp.J5AxCruvr9/Vampire---4.8_23052',m__3418) ).
fof(f784,plain,
~ aElementOf0(xK,szNzAzT0),
inference(subsumption_resolution,[],[f783,f345]) ).
fof(f345,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/tmp/tmp.J5AxCruvr9/Vampire---4.8_23052',m__3462) ).
fof(f783,plain,
( sz00 = xK
| ~ aElementOf0(xK,szNzAzT0) ),
inference(equality_resolution,[],[f777]) ).
fof(f777,plain,
! [X0] :
( xK != X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(subsumption_resolution,[],[f768,f463]) ).
fof(f463,plain,
! [X0] :
( aElementOf0(sK37(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( szszuzczcdt0(sK37(X0)) = X0
& aElementOf0(sK37(X0),szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f135,f285]) ).
fof(f285,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
=> ( szszuzczcdt0(sK37(X0)) = X0
& aElementOf0(sK37(X0),szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ? [X1] :
( szszuzczcdt0(X1) = X0
& aElementOf0(X1,szNzAzT0) )
| sz00 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.J5AxCruvr9/Vampire---4.8_23052',mNatExtra) ).
fof(f768,plain,
! [X0] :
( xK != X0
| ~ aElementOf0(sK37(X0),szNzAzT0)
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f344,f464]) ).
fof(f464,plain,
! [X0] :
( szszuzczcdt0(sK37(X0)) = X0
| sz00 = X0
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f344,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( szszuzczcdt0(X0) != xK
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,negated_conjecture,
~ ? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f80]) ).
fof(f80,conjecture,
? [X0] :
( szszuzczcdt0(X0) = xK
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/tmp/tmp.J5AxCruvr9/Vampire---4.8_23052',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 15:57:10 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.J5AxCruvr9/Vampire---4.8_23052
% 0.16/0.38 % (23159)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (23161)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.44 % (23162)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.44 % (23164)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.44 % (23160)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.44 % (23165)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.44 % (23163)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.46 % (23163)First to succeed.
% 0.23/0.46 % (23163)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for Vampire---4
% 0.23/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.46 % (23163)------------------------------
% 0.23/0.46 % (23163)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.46 % (23163)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.46 % (23163)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (23163)Memory used [KB]: 6012
% 0.23/0.46 % (23163)Time elapsed: 0.017 s
% 0.23/0.46 % (23163)------------------------------
% 0.23/0.46 % (23163)------------------------------
% 0.23/0.46 % (23159)Success in time 0.08 s
% 0.23/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------