TSTP Solution File: NUM343+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 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 : n024.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 12:00:31 EDT 2023
% Result : Theorem 0.24s 0.46s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 def)
% Number of atoms : 32 ( 6 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 35 ( 14 ~; 7 |; 11 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 14 (; 12 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f909,plain,
$false,
inference(resolution,[],[f883,f477]) ).
fof(f477,plain,
! [X0] : less(X0,n1),
inference(cnf_transformation,[],[f427]) ).
fof(f427,plain,
! [X0] :
( ~ sum(n21,X0,n21)
& less(X0,n1)
& less(nn1,X0) ),
inference(flattening,[],[f426]) ).
fof(f426,plain,
! [X0] :
( ~ sum(n21,X0,n21)
& less(X0,n1)
& less(nn1,X0) ),
inference(ennf_transformation,[],[f403]) ).
fof(f403,negated_conjecture,
~ ? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ),
inference(negated_conjecture,[],[f402]) ).
fof(f402,conjecture,
? [X0] :
( ( less(X0,n1)
& less(nn1,X0) )
=> sum(n21,X0,n21) ),
file('/export/starexec/sandbox/tmp/tmp.9AzjfkWCXl/Vampire---4.8_24822',sum_something_n0_samething) ).
fof(f883,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f857]) ).
fof(f857,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f474]) ).
fof(f474,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f473]) ).
fof(f473,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f284,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.9AzjfkWCXl/Vampire---4.8_24822',less_property) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : NUM343+1 : TPTP v8.1.2. Released v3.1.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n024.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 11:45:39 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.9AzjfkWCXl/Vampire---4.8_24822
% 0.16/0.38 % (24978)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (24983)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)
% 0.24/0.45 % (24981)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)
% 0.24/0.45 % (24982)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.24/0.45 % (24984)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)
% 0.24/0.45 % (24980)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.45 % (24979)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)
% 0.24/0.45 % (24985)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.46 % (24980)First to succeed.
% 0.24/0.46 % (24980)Refutation found. Thanks to Tanya!
% 0.24/0.46 % SZS status Theorem for Vampire---4
% 0.24/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.46 % (24980)------------------------------
% 0.24/0.46 % (24980)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.46 % (24980)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.46 % (24980)Termination reason: Refutation
% 0.24/0.46
% 0.24/0.46 % (24980)Memory used [KB]: 1407
% 0.24/0.46 % (24980)Time elapsed: 0.010 s
% 0.24/0.46 % (24980)------------------------------
% 0.24/0.46 % (24980)------------------------------
% 0.24/0.46 % (24978)Success in time 0.081 s
% 0.24/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------