TSTP Solution File: GEO208+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO208+1 : TPTP v8.1.2. Released 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 : n024.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 23:31:49 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 7 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 83 ( 37 ~; 21 |; 19 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 (; 21 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f102,plain,
$false,
inference(avatar_sat_refutation,[],[f88,f97,f101]) ).
fof(f101,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f98,plain,
( $false
| ~ spl3_1 ),
inference(resolution,[],[f84,f47]) ).
fof(f47,plain,
~ convergent_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( distinct_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f22,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ( distinct_lines(sK1,sK2)
& ~ convergent_lines(sK1,sK2)
& ~ apart_point_and_line(sK0,sK2)
& ~ apart_point_and_line(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
? [X0,X1,X2] :
( distinct_lines(X1,X2)
& ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,X2) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X0,X1,X2] :
( ( ~ convergent_lines(X1,X2)
& ~ apart_point_and_line(X0,X2)
& ~ apart_point_and_line(X0,X1) )
=> ~ distinct_lines(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.7HydjI6w1b/Vampire---4.8_28759',con) ).
fof(f84,plain,
( convergent_lines(sK1,sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl3_1
<=> convergent_lines(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f97,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f94,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f89,f45]) ).
fof(f45,plain,
~ apart_point_and_line(sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
( apart_point_and_line(sK0,sK1)
| ~ spl3_2 ),
inference(resolution,[],[f87,f46]) ).
fof(f46,plain,
~ apart_point_and_line(sK0,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
( ! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_2
<=> ! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f88,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f77,f86,f83]) ).
fof(f77,plain,
! [X0] :
( apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK1)
| convergent_lines(sK1,sK2) ),
inference(resolution,[],[f62,f48]) ).
fof(f48,plain,
distinct_lines(sK1,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
=> ( convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.7HydjI6w1b/Vampire---4.8_28759',cup1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO208+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35 % Computer : n024.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 22:45:52 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.7HydjI6w1b/Vampire---4.8_28759
% 0.15/0.36 % (28866)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (28869)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.21/0.42 % (28871)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.21/0.42 % (28870)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.21/0.42 % (28873)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.21/0.42 % (28868)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.21/0.42 % (28867)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.21/0.42 % (28869)First to succeed.
% 0.21/0.42 % (28872)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.21/0.42 % (28873)Also succeeded, but the first one will report.
% 0.21/0.42 % (28868)Also succeeded, but the first one will report.
% 0.21/0.42 % (28869)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for Vampire---4
% 0.21/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.42 % (28869)------------------------------
% 0.21/0.42 % (28869)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.42 % (28869)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.42 % (28869)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (28869)Memory used [KB]: 5500
% 0.21/0.42 % (28869)Time elapsed: 0.005 s
% 0.21/0.42 % (28869)------------------------------
% 0.21/0.42 % (28869)------------------------------
% 0.21/0.42 % (28866)Success in time 0.064 s
% 0.21/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------