TSTP Solution File: SWV232+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 : n023.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 23:08:16 EDT 2023
% Result : Theorem 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% Number of atoms : 249 ( 184 equ)
% Maximal formula atoms : 46 ( 19 avg)
% Number of connectives : 369 ( 133 ~; 60 |; 163 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-3 aty)
% Number of variables : 28 (; 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f548,plain,
$false,
inference(trivial_inequality_removal,[],[f426]) ).
fof(f426,plain,
( sK13 != sK13
| sK14 != sK14 ),
inference(definition_unfolding,[],[f257,f265,f262]) ).
fof(f262,plain,
n0 = sK14,
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( n0 != a_select2(rho,n1)
& n2 = sK13
& n1 = sK14
& n1 = sK13
& n0 = sK14
& ( n2 != sK14
| n2 != sK13 )
& ( n2 != sK13
| n1 != sK14 )
& ( n2 != sK14
| n1 != sK13 )
& ( n1 != sK14
| n1 != sK13 )
& ( n2 != sK13
| n0 != sK14 )
& ( n2 != sK14
| n0 != sK13 )
& ( n1 != sK14
| n0 != sK13 )
& leq(sK14,n2)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13)
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f185,f186]) ).
fof(f186,plain,
( ? [X0,X1] :
( n0 != a_select2(rho,n1)
& n2 = X0
& n1 = X1
& n1 = X0
& n0 = X1
& ( n2 != X1
| n2 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n1 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n0 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n1 != X1
| n0 != X0 )
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> ( n0 != a_select2(rho,n1)
& n2 = sK13
& n1 = sK14
& n1 = sK13
& n0 = sK14
& ( n2 != sK14
| n2 != sK13 )
& ( n2 != sK13
| n1 != sK14 )
& ( n2 != sK14
| n1 != sK13 )
& ( n1 != sK14
| n1 != sK13 )
& ( n2 != sK13
| n0 != sK14 )
& ( n2 != sK14
| n0 != sK13 )
& ( n1 != sK14
| n0 != sK13 )
& leq(sK14,n2)
& leq(sK13,n2)
& leq(n0,sK14)
& leq(n0,sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
( ? [X0,X1] :
( n0 != a_select2(rho,n1)
& n2 = X0
& n1 = X1
& n1 = X0
& n0 = X1
& ( n2 != X1
| n2 != X0 )
& ( n2 != X0
| n1 != X1 )
& ( n2 != X1
| n1 != X0 )
& ( n1 != X1
| n1 != X0 )
& ( n2 != X0
| n0 != X1 )
& ( n2 != X1
| n0 != X0 )
& ( n1 != X1
| n0 != X0 )
& leq(X1,n2)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
& ! [X2,X3] :
( a_select3(q_ds1_filter,X2,X3) = a_select3(q_ds1_filter,X3,X2)
| ~ leq(X3,n5)
| ~ leq(X2,n5)
| ~ leq(n0,X3)
| ~ leq(n0,X2) ) ),
inference(rectify,[],[f110]) ).
fof(f110,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ( n2 != X3
| n2 != X2 )
& ( n2 != X2
| n1 != X3 )
& ( n2 != X3
| n1 != X2 )
& ( n1 != X3
| n1 != X2 )
& ( n2 != X2
| n0 != X3 )
& ( n2 != X3
| n0 != X2 )
& ( n1 != X3
| n0 != X2 )
& leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
( ? [X2,X3] :
( n0 != a_select2(rho,n1)
& n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ( n2 != X3
| n2 != X2 )
& ( n2 != X2
| n1 != X3 )
& ( n2 != X3
| n1 != X2 )
& ( n1 != X3
| n1 != X2 )
& ( n2 != X2
| n0 != X3 )
& ( n2 != X3
| n0 != X2 )
& ( n1 != X3
| n0 != X2 )
& leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
& ! [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0)
| ~ leq(X1,n5)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,plain,
~ ( ! [X0,X1] :
( ( leq(X1,n5)
& leq(X0,n5)
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(q_ds1_filter,X0,X1) = a_select3(q_ds1_filter,X1,X0) )
=> ! [X2,X3] :
( ( leq(X3,n2)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> ( ( n2 = X2
& n1 = X3
& n1 = X2
& n0 = X3
& ~ ( n2 = X3
& n2 = X2 )
& ~ ( n2 = X2
& n1 = X3 )
& ~ ( n2 = X3
& n1 = X2 )
& ~ ( n1 = X3
& n1 = X2 )
& ~ ( n2 = X2
& n0 = X3 )
& ~ ( n2 = X3
& n0 = X2 )
& ~ ( n1 = X3
& n0 = X2 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( n2 = X3
& n1 = X19
& n1 = X3
& n0 = X19
& ~ ( n2 = X19
& n2 = X3 )
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X19
& n1 = X3 )
& ~ ( n1 = X19
& n1 = X3 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n2 = X19
& n0 = X3 )
& ~ ( n1 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ! [X13,X17] :
( ( leq(X17,n5)
& leq(X13,n5)
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) )
=> ! [X3,X19] :
( ( leq(X19,n2)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> ( ( n2 = X3
& n1 = X19
& n1 = X3
& n0 = X19
& ~ ( n2 = X19
& n2 = X3 )
& ~ ( n2 = X3
& n1 = X19 )
& ~ ( n2 = X19
& n1 = X3 )
& ~ ( n1 = X19
& n1 = X3 )
& ~ ( n2 = X3
& n0 = X19 )
& ~ ( n2 = X19
& n0 = X3 )
& ~ ( n1 = X19
& n0 = X3 ) )
=> n0 = a_select2(rho,n1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.luG2PfHPrE/Vampire---4.8_20996',quaternion_ds1_symm_0841) ).
fof(f265,plain,
n2 = sK13,
inference(cnf_transformation,[],[f187]) ).
fof(f257,plain,
( n2 != sK13
| n0 != sK14 ),
inference(cnf_transformation,[],[f187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV232+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 10:13:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.34 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.luG2PfHPrE/Vampire---4.8_20996
% 0.13/0.35 % (21258)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (21260)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.19/0.41 % (21259)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)
% 0.19/0.41 % (21265)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.19/0.41 % (21264)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)
% 0.19/0.41 % (21262)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.19/0.41 % (21261)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)
% 0.19/0.41 % (21263)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)
% 0.19/0.41 % (21262)First to succeed.
% 0.19/0.41 % (21265)Also succeeded, but the first one will report.
% 0.19/0.41 % (21262)Refutation found. Thanks to Tanya!
% 0.19/0.41 % SZS status Theorem for Vampire---4
% 0.19/0.41 % SZS output start Proof for Vampire---4
% See solution above
% 0.19/0.41 % (21262)------------------------------
% 0.19/0.41 % (21262)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.19/0.41 % (21262)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.19/0.41 % (21262)Termination reason: Refutation
% 0.19/0.41
% 0.19/0.41 % (21262)Memory used [KB]: 5756
% 0.19/0.41 % (21262)Time elapsed: 0.006 s
% 0.19/0.41 % (21262)------------------------------
% 0.19/0.41 % (21262)------------------------------
% 0.19/0.41 % (21258)Success in time 0.065 s
% 0.19/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------