TSTP Solution File: GEO037-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO037-3 : 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 : n028.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 23:30:25 EDT 2023
% Result : Unsatisfiable 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 18 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 29 (; 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f871,plain,
$false,
inference(unit_resulting_resolution,[],[f58,f862,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',identity_for_equidistance) ).
fof(f862,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,v),
inference(forward_literal_rewriting,[],[f861,f22]) ).
fof(f22,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X3,X10,X5,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',d3) ).
fof(f861,plain,
equidistant(lower_dimension_point_2,lower_dimension_point_1,v,v),
inference(forward_demodulation,[],[f853,f860]) ).
fof(f860,plain,
v = sF2,
inference(subsumption_resolution,[],[f93,f859]) ).
fof(f859,plain,
equidistant(v,sF2,x,sF3),
inference(forward_literal_rewriting,[],[f852,f21]) ).
fof(f21,axiom,
! [X3,X10,X0,X5] :
( ~ equidistant(X10,X3,X5,X0)
| equidistant(X5,X0,X10,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',d2) ).
fof(f852,plain,
equidistant(x,sF3,v,sF2),
inference(resolution,[],[f838,f114]) ).
fof(f114,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,x,sF3),
inference(forward_literal_rewriting,[],[f112,f21]) ).
fof(f112,plain,
equidistant(x,sF3,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f70]) ).
fof(f70,plain,
extension(w,x,lower_dimension_point_1,lower_dimension_point_2) = sF3,
introduced(function_definition,[]) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',segment_construction2) ).
fof(f838,plain,
! [X48,X49] :
( ~ equidistant(lower_dimension_point_1,lower_dimension_point_2,X48,X49)
| equidistant(X48,X49,v,sF2) ),
inference(resolution,[],[f2,f113]) ).
fof(f113,plain,
equidistant(lower_dimension_point_1,lower_dimension_point_2,v,sF2),
inference(forward_literal_rewriting,[],[f111,f21]) ).
fof(f111,plain,
equidistant(v,sF2,lower_dimension_point_1,lower_dimension_point_2),
inference(superposition,[],[f5,f69]) ).
fof(f69,plain,
extension(u,v,lower_dimension_point_1,lower_dimension_point_2) = sF2,
introduced(function_definition,[]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X4,X5)
| ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',transitivity_for_equidistance) ).
fof(f93,plain,
( ~ equidistant(v,sF2,x,sF3)
| v = sF2 ),
inference(subsumption_resolution,[],[f71,f91]) ).
fof(f91,plain,
between(u,v,sF2),
inference(superposition,[],[f4,f69]) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',segment_construction1) ).
fof(f71,plain,
( ~ equidistant(v,sF2,x,sF3)
| ~ between(u,v,sF2)
| v = sF2 ),
inference(definition_folding,[],[f61,f70,f69,f69,f69]) ).
fof(f61,axiom,
( v = extension(u,v,lower_dimension_point_1,lower_dimension_point_2)
| ~ between(u,v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2))
| ~ equidistant(v,extension(u,v,lower_dimension_point_1,lower_dimension_point_2),x,extension(w,x,lower_dimension_point_1,lower_dimension_point_2)) ),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',prove_lengthen) ).
fof(f853,plain,
equidistant(lower_dimension_point_2,lower_dimension_point_1,v,sF2),
inference(resolution,[],[f838,f1]) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',reflexivity_for_equidistance) ).
fof(f58,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('/export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671',e2_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 21:44:41 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.hpF5qwFEtS/Vampire---4.8_26671
% 0.15/0.36 % (26778)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (26784)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.21/0.42 % (26783)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.21/0.42 % (26785)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.21/0.42 % (26786)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.21/0.42 % (26782)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.21/0.42 % (26787)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.21/0.42 % (26780)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_1192 on Vampire---4 for (1192ds/0Mi)
% 0.21/0.46 % (26780)First to succeed.
% 0.21/0.46 % (26780)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.46 % (26780)------------------------------
% 0.21/0.46 % (26780)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.46 % (26780)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.46 % (26780)Termination reason: Refutation
% 0.21/0.46
% 0.21/0.46 % (26780)Memory used [KB]: 1535
% 0.21/0.46 % (26780)Time elapsed: 0.045 s
% 0.21/0.46 % (26780)------------------------------
% 0.21/0.46 % (26780)------------------------------
% 0.21/0.46 % (26778)Success in time 0.105 s
% 0.21/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------