TSTP Solution File: GEO020-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n031.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 : Fri Sep 1 14:41:47 EDT 2023
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 12 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 20 (; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,plain,
$false,
inference(resolution,[],[f35,f5]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/tmp/tmp.RdNlfzeYAG/Vampire---4.8_32489',segment_construction2) ).
fof(f35,plain,
! [X0,X1] : ~ equidistant(X0,X1,u,v),
inference(duplicate_literal_removal,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,u,v)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f30,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/sandbox2/tmp/tmp.RdNlfzeYAG/Vampire---4.8_32489',transitivity_for_equidistance) ).
fof(f30,plain,
~ equidistant(u,v,u,v),
inference(resolution,[],[f28,f19]) ).
fof(f19,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.RdNlfzeYAG/Vampire---4.8_32489',u_to_v_equals_w_to_x) ).
fof(f28,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,w,x)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f25,f2]) ).
fof(f25,plain,
~ equidistant(w,x,u,v),
inference(resolution,[],[f23,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.RdNlfzeYAG/Vampire---4.8_32489',reflexivity_for_equidistance) ).
fof(f23,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/sandbox2/tmp/tmp.RdNlfzeYAG/Vampire---4.8_32489',prove_symmetry) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : GEO020-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.36 % Computer : n031.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Aug 30 18:32:42 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.18/0.42 % (32597)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.43 % (32601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.43 % (32603)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.18/0.43 % (32599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.43 % (32602)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.18/0.43 % (32600)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.18/0.43 % (32604)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.18/0.43 % (32598)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.43 TRYING [1]
% 0.18/0.43 TRYING [2]
% 0.18/0.43 % (32603)First to succeed.
% 0.18/0.43 % (32604)Also succeeded, but the first one will report.
% 0.18/0.43 % (32603)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.43 % (32603)------------------------------
% 0.18/0.43 % (32603)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.43 % (32603)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.43 % (32603)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (32603)Memory used [KB]: 895
% 0.18/0.43 % (32603)Time elapsed: 0.004 s
% 0.18/0.43 % (32603)------------------------------
% 0.18/0.43 % (32603)------------------------------
% 0.18/0.43 % (32597)Success in time 0.067 s
% 0.18/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------