TSTP Solution File: GEO219+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO219+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 : n015.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 23:31:58 EDT 2023
% Result : Theorem 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 6 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 102 ( 50 ~; 24 |; 21 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 53 (; 44 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(unit_resulting_resolution,[],[f52,f53,f104,f54,f71]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2)
| ( unorthogonal_lines(X0,X2)
& convergent_lines(X0,X2) )
| ( unorthogonal_lines(X0,X1)
& convergent_lines(X0,X1) ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( ( ~ unorthogonal_lines(X0,X2)
| ~ convergent_lines(X0,X2) )
& ( ~ unorthogonal_lines(X0,X1)
| ~ convergent_lines(X0,X1) ) )
=> ( ~ unorthogonal_lines(X1,X2)
| ~ convergent_lines(X1,X2) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6,X7] :
( ( ( ~ unorthogonal_lines(X5,X7)
| ~ convergent_lines(X5,X7) )
& ( ~ unorthogonal_lines(X5,X6)
| ~ convergent_lines(X5,X6) ) )
=> ( ~ unorthogonal_lines(X6,X7)
| ~ convergent_lines(X6,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.nlDb7rBZnb/Vampire---4.8_24479',cotno1) ).
fof(f54,plain,
unorthogonal_lines(sK1,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f26,f50]) ).
fof(f50,plain,
( ? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ( unorthogonal_lines(sK1,sK2)
& ~ convergent_lines(sK0,sK2)
& ~ unorthogonal_lines(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1,X2] :
( unorthogonal_lines(X1,X2)
& ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2] :
( ( ~ convergent_lines(X0,X2)
& ~ unorthogonal_lines(X0,X1) )
=> ~ unorthogonal_lines(X1,X2) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X6,X7] :
( ( ~ convergent_lines(X5,X7)
& ~ unorthogonal_lines(X5,X6) )
=> ~ unorthogonal_lines(X6,X7) ),
file('/export/starexec/sandbox/tmp/tmp.nlDb7rBZnb/Vampire---4.8_24479',con) ).
fof(f104,plain,
convergent_lines(sK1,sK2),
inference(unit_resulting_resolution,[],[f53,f75,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| convergent_lines(X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( convergent_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.nlDb7rBZnb/Vampire---4.8_24479',ax6) ).
fof(f75,plain,
convergent_lines(sK0,sK1),
inference(unit_resulting_resolution,[],[f52,f62]) ).
fof(f62,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
~ ( ~ unorthogonal_lines(X0,X1)
& ~ convergent_lines(X0,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X5,X6] :
~ ( ~ unorthogonal_lines(X5,X6)
& ~ convergent_lines(X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.nlDb7rBZnb/Vampire---4.8_24479',coipo1) ).
fof(f53,plain,
~ convergent_lines(sK0,sK2),
inference(cnf_transformation,[],[f51]) ).
fof(f52,plain,
~ unorthogonal_lines(sK0,sK1),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO219+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 23:25:41 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.15/0.37 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.nlDb7rBZnb/Vampire---4.8_24479
% 0.15/0.37 % (24656)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (24674)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)
% 0.23/0.43 % (24670)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)
% 0.23/0.43 % (24664)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)
% 0.23/0.43 % (24673)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)
% 0.23/0.43 % (24672)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)
% 0.23/0.43 % (24663)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)
% 0.23/0.43 % (24676)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)
% 0.23/0.43 % (24674)First to succeed.
% 0.23/0.44 % (24673)Also succeeded, but the first one will report.
% 0.23/0.44 % (24670)Also succeeded, but the first one will report.
% 0.23/0.44 % (24674)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Theorem for Vampire---4
% 0.23/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.44 % (24674)------------------------------
% 0.23/0.44 % (24674)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.44 % (24674)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.44 % (24674)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (24674)Memory used [KB]: 5373
% 0.23/0.44 % (24674)Time elapsed: 0.005 s
% 0.23/0.44 % (24674)------------------------------
% 0.23/0.44 % (24674)------------------------------
% 0.23/0.44 % (24656)Success in time 0.064 s
% 0.23/0.44 % Vampire---4.8 exiting
%------------------------------------------------------------------------------