TSTP Solution File: GEO020-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n013.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 Aug 30 23:30:12 EDT 2023
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 14 (; 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,plain,
$false,
inference(subsumption_resolution,[],[f41,f19]) ).
fof(f19,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/tmp/tmp.pPzAD05EIN/Vampire---4.8_22824',u_to_v_equals_w_to_x) ).
fof(f41,plain,
~ equidistant(u,v,w,x),
inference(resolution,[],[f38,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/tmp/tmp.pPzAD05EIN/Vampire---4.8_22824',reflexivity_for_equidistance) ).
fof(f38,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,v,u)
| ~ equidistant(X0,X1,w,x) ),
inference(resolution,[],[f35,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( equidistant(X2,X3,X4,X5)
| ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.pPzAD05EIN/Vampire---4.8_22824',transitivity_for_equidistance) ).
fof(f35,plain,
~ equidistant(v,u,w,x),
inference(resolution,[],[f32,f1]) ).
fof(f32,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,u,v)
| ~ equidistant(X0,X1,w,x) ),
inference(resolution,[],[f29,f2]) ).
fof(f29,plain,
~ equidistant(w,x,u,v),
inference(resolution,[],[f25,f1]) ).
fof(f25,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f2,f20]) ).
fof(f20,axiom,
~ equidistant(x,w,u,v),
file('/export/starexec/sandbox/tmp/tmp.pPzAD05EIN/Vampire---4.8_22824',prove_symmetry) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n013.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 Aug 29 18:59:46 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.pPzAD05EIN/Vampire---4.8_22824
% 0.16/0.36 % (22935)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (22940)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.42 % (22937)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.42 % (22942)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.42 % (22938)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.42 % (22941)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.42 % (22939)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.42 % (22936)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43 % (22941)First to succeed.
% 0.22/0.43 % (22941)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (22941)------------------------------
% 0.22/0.43 % (22941)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (22941)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (22941)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (22941)Memory used [KB]: 5500
% 0.22/0.43 % (22941)Time elapsed: 0.006 s
% 0.22/0.43 % (22941)------------------------------
% 0.22/0.43 % (22941)------------------------------
% 0.22/0.43 % (22935)Success in time 0.063 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------