TSTP Solution File: GEO044-3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO044-3 : 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 : n018.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 23:30:28 EDT 2023
% Result : Unsatisfiable 0.23s 0.64s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 22 ( 18 unt; 0 def)
% Number of atoms : 29 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-4 aty)
% Number of variables : 44 (; 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6201,plain,
$false,
inference(subsumption_resolution,[],[f6193,f47]) ).
fof(f47,axiom,
! [X3,X10] : between(X10,X10,X3),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',t2) ).
fof(f6193,plain,
~ between(x,x,w),
inference(superposition,[],[f5554,f764]) ).
fof(f764,plain,
x = extension(v,w,w,x),
inference(unit_resulting_resolution,[],[f56,f55,f39]) ).
fof(f39,axiom,
! [X3,X10,X5] :
( extension(X10,X3,X3,X5) = X5
| ~ between(X10,X3,X5)
| X3 = X10 ),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',d10_1) ).
fof(f55,axiom,
between(v,w,x),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',w_between_v_and_x) ).
fof(f56,axiom,
v != w,
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',v_not_w) ).
fof(f5554,plain,
! [X0,X1] : ~ between(extension(v,w,X0,X1),x,w),
inference(forward_demodulation,[],[f5525,f4745]) ).
fof(f4745,plain,
! [X0,X1] : extension(v,w,X0,X1) = extension(u,w,X0,X1),
inference(forward_demodulation,[],[f4728,f1401]) ).
fof(f1401,plain,
! [X2,X3,X0,X1] : extension(v,w,X0,extension(X1,X0,X2,X3)) = extension(v,w,X2,X3),
inference(unit_resulting_resolution,[],[f56,f5,f40]) ).
fof(f40,axiom,
! [X2,X3,X10,X0,X1,X5] :
( extension(X10,X3,X5,X0) = extension(X10,X3,X1,X2)
| ~ equidistant(X5,X0,X1,X2)
| X3 = X10 ),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',d10_2) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',segment_construction2) ).
fof(f4728,plain,
! [X0,X1] : extension(u,w,X0,X1) = extension(v,w,w,extension(u,w,X0,X1)),
inference(unit_resulting_resolution,[],[f56,f542,f39]) ).
fof(f542,plain,
! [X0,X1] : between(v,w,extension(u,w,X0,X1)),
inference(unit_resulting_resolution,[],[f54,f4,f53]) ).
fof(f53,axiom,
! [X3,X10,X0,X5] :
( between(X3,X5,X0)
| ~ between(X10,X5,X0)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',b5) ).
fof(f4,axiom,
! [X3,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X3)),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',segment_construction1) ).
fof(f54,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',v_between_u_and_w) ).
fof(f5525,plain,
! [X0,X1] : ~ between(extension(u,w,X0,X1),x,w),
inference(unit_resulting_resolution,[],[f124,f117,f53]) ).
fof(f117,plain,
! [X2,X3,X0,X1] : between(extension(X0,X1,X2,X3),X1,X0),
inference(unit_resulting_resolution,[],[f4,f46]) ).
fof(f46,axiom,
! [X3,X10,X5] :
( between(X5,X3,X10)
| ~ between(X10,X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',t1) ).
fof(f124,plain,
~ between(x,w,u),
inference(unit_resulting_resolution,[],[f57,f46]) ).
fof(f57,axiom,
~ between(u,w,x),
file('/export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014',prove_w_between_u_and_x) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n018.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 20:44:03 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.jcR0T1TCjh/Vampire---4.8_31014
% 0.16/0.37 % (31121)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (31124)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)
% 0.23/0.43 % (31125)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)
% 0.23/0.43 % (31126)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)
% 0.23/0.43 % (31127)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)
% 0.23/0.43 % (31123)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)
% 0.23/0.43 % (31128)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)
% 0.23/0.43 % (31122)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)
% 0.23/0.64 % (31127)First to succeed.
% 0.23/0.64 % (31127)Refutation found. Thanks to Tanya!
% 0.23/0.64 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.64 % (31127)------------------------------
% 0.23/0.64 % (31127)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.64 % (31127)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.64 % (31127)Termination reason: Refutation
% 0.23/0.64
% 0.23/0.64 % (31127)Memory used [KB]: 6012
% 0.23/0.64 % (31127)Time elapsed: 0.208 s
% 0.23/0.64 % (31127)------------------------------
% 0.23/0.64 % (31127)------------------------------
% 0.23/0.64 % (31121)Success in time 0.266 s
% 0.23/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------