TSTP Solution File: GEO465+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO465+1 : TPTP v8.1.2. Released v7.0.0.
% 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 : n016.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 23:36:00 EDT 2023
% Result : Theorem 27.78s 5.59s
% Output : Refutation 27.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 15 ~; 7 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 36 (; 30 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31543,plain,
$false,
inference(subsumption_resolution,[],[f31542,f16156]) ).
fof(f16156,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(cnf_transformation,[],[f3876]) ).
fof(f3876,plain,
! [X0,X1] : p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X1)))))),
inference(rectify,[],[f3315]) ).
fof(f3315,axiom,
! [X1382,X96] : p(s(bool,i(s(fun(fun(cart(real,X1382),bool),bool),subspace),s(fun(cart(real,X1382),bool),i(s(fun(fun(cart(real,X1382),bool),fun(cart(real,X1382),bool)),span),s(fun(cart(real,X1382),bool),X96)))))),
file('/export/starexec/sandbox/tmp/tmp.ftlTKWwlrp/Vampire---4.8_12997',aSUBSPACEu_SPAN) ).
fof(f31542,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),subspace),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))),
inference(subsumption_resolution,[],[f30794,f14707]) ).
fof(f14707,plain,
~ p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),i(s(fun(cart(real,sK166),cart(real,sK166)),vectoru_neg),s(cart(real,sK166),sK167))))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))),
inference(cnf_transformation,[],[f8811]) ).
fof(f8811,plain,
( ~ p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),i(s(fun(cart(real,sK166),cart(real,sK166)),vectoru_neg),s(cart(real,sK166),sK167))))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168))))))
& p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),sK167))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK166,sK167,sK168])],[f6331,f8810]) ).
fof(f8810,plain,
( ? [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) )
=> ( ~ p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),i(s(fun(cart(real,sK166),cart(real,sK166)),vectoru_neg),s(cart(real,sK166),sK167))))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168))))))
& p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),sK167))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))) ) ),
introduced(choice_axiom,[]) ).
fof(f6331,plain,
? [X0,X1,X2] :
( ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(ennf_transformation,[],[f3338]) ).
fof(f3338,plain,
~ ! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2))))))
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),i(s(fun(fun(cart(real,X0),bool),fun(cart(real,X0),bool)),span),s(fun(cart(real,X0),bool),X2)))))) ),
inference(rectify,[],[f3337]) ).
fof(f3337,negated_conjecture,
~ ! [X1399,X0,X96] :
( p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),X0))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96))))))
=> p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),i(s(fun(cart(real,X1399),cart(real,X1399)),vectoru_neg),s(cart(real,X1399),X0))))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96)))))) ),
inference(negated_conjecture,[],[f3336]) ).
fof(f3336,conjecture,
! [X1399,X0,X96] :
( p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),X0))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96))))))
=> p(s(bool,i(s(fun(fun(cart(real,X1399),bool),bool),i(s(fun(cart(real,X1399),fun(fun(cart(real,X1399),bool),bool)),in),s(cart(real,X1399),i(s(fun(cart(real,X1399),cart(real,X1399)),vectoru_neg),s(cart(real,X1399),X0))))),s(fun(cart(real,X1399),bool),i(s(fun(fun(cart(real,X1399),bool),fun(cart(real,X1399),bool)),span),s(fun(cart(real,X1399),bool),X96)))))) ),
file('/export/starexec/sandbox/tmp/tmp.ftlTKWwlrp/Vampire---4.8_12997',aSPANu_NEG) ).
fof(f30794,plain,
( p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),i(s(fun(cart(real,sK166),cart(real,sK166)),vectoru_neg),s(cart(real,sK166),sK167))))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168))))))
| ~ p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),subspace),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))) ),
inference(resolution,[],[f14706,f18679]) ).
fof(f18679,plain,
! [X2,X0,X1] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) ),
inference(cnf_transformation,[],[f7389]) ).
fof(f7389,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) ),
inference(flattening,[],[f7388]) ).
fof(f7388,plain,
! [X0,X1,X2] :
( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2))))
| ~ p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) ),
inference(ennf_transformation,[],[f5218]) ).
fof(f5218,plain,
! [X0,X1,X2] :
( ( p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),X1))),s(fun(cart(real,X0),bool),X2))))
& p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),subspace),s(fun(cart(real,X0),bool),X2)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X0),bool),bool),i(s(fun(cart(real,X0),fun(fun(cart(real,X0),bool),bool)),in),s(cart(real,X0),i(s(fun(cart(real,X0),cart(real,X0)),vectoru_neg),s(cart(real,X0),X1))))),s(fun(cart(real,X0),bool),X2)))) ),
inference(rectify,[],[f3303]) ).
fof(f3303,axiom,
! [X1368,X0,X96] :
( ( p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),i(s(fun(cart(real,X1368),fun(fun(cart(real,X1368),bool),bool)),in),s(cart(real,X1368),X0))),s(fun(cart(real,X1368),bool),X96))))
& p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),subspace),s(fun(cart(real,X1368),bool),X96)))) )
=> p(s(bool,i(s(fun(fun(cart(real,X1368),bool),bool),i(s(fun(cart(real,X1368),fun(fun(cart(real,X1368),bool),bool)),in),s(cart(real,X1368),i(s(fun(cart(real,X1368),cart(real,X1368)),vectoru_neg),s(cart(real,X1368),X0))))),s(fun(cart(real,X1368),bool),X96)))) ),
file('/export/starexec/sandbox/tmp/tmp.ftlTKWwlrp/Vampire---4.8_12997',aSUBSPACEu_NEG) ).
fof(f14706,plain,
p(s(bool,i(s(fun(fun(cart(real,sK166),bool),bool),i(s(fun(cart(real,sK166),fun(fun(cart(real,sK166),bool),bool)),in),s(cart(real,sK166),sK167))),s(fun(cart(real,sK166),bool),i(s(fun(fun(cart(real,sK166),bool),fun(cart(real,sK166),bool)),span),s(fun(cart(real,sK166),bool),sK168)))))),
inference(cnf_transformation,[],[f8811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.94/0.97 % Problem : GEO465+1 : TPTP v8.1.2. Released v7.0.0.
% 0.94/0.99 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 1.01/1.19 % Computer : n016.cluster.edu
% 1.01/1.19 % Model : x86_64 x86_64
% 1.01/1.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 1.01/1.19 % Memory : 8042.1875MB
% 1.01/1.19 % OS : Linux 3.10.0-693.el7.x86_64
% 1.01/1.19 % CPULimit : 300
% 1.01/1.20 % WCLimit : 300
% 1.01/1.20 % DateTime : Tue Aug 29 19:34:32 EDT 2023
% 1.05/1.20 % CPUTime :
% 1.05/1.20 This is a FOF_THM_RFO_SEQ problem
% 1.05/1.20 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.ftlTKWwlrp/Vampire---4.8_12997
% 1.05/1.20 % (13104)Running in auto input_syntax mode. Trying TPTP
% 1.59/1.79 % (13111)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 1.59/1.81 % (13106)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 1.59/1.81 % (13107)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 1.59/1.81 % (13109)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 1.59/1.81 % (13108)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 1.59/1.81 % (13110)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 1.59/1.81 % (13105)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 19.20/4.32 % (13107)Refutation not found, incomplete strategy% (13107)------------------------------
% 19.20/4.32 % (13107)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 19.20/4.32 % (13107)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 19.20/4.32 % (13107)Termination reason: Refutation not found, incomplete strategy
% 19.20/4.32
% 19.20/4.32 % (13107)Memory used [KB]: 119998
% 19.20/4.32 % (13107)Time elapsed: 2.500 s
% 19.20/4.32 % (13107)------------------------------
% 19.20/4.32 % (13107)------------------------------
% 19.56/4.37 % (13112)lrs+1010_5:1_bd=off:fsd=off:fde=unused:lcm=predicate:nm=64:nwc=1.7:sac=on:sp=frequency:tgt=ground:stl=62_392 on Vampire---4 for (392ds/0Mi)
% 27.78/5.58 % (13108)First to succeed.
% 27.78/5.59 % (13108)Refutation found. Thanks to Tanya!
% 27.78/5.59 % SZS status Theorem for Vampire---4
% 27.78/5.59 % SZS output start Proof for Vampire---4
% See solution above
% 27.78/5.59 % (13108)------------------------------
% 27.78/5.59 % (13108)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 27.78/5.59 % (13108)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 27.78/5.59 % (13108)Termination reason: Refutation
% 27.78/5.59
% 27.78/5.59 % (13108)Memory used [KB]: 99401
% 27.78/5.59 % (13108)Time elapsed: 3.771 s
% 27.78/5.59 % (13108)------------------------------
% 27.78/5.59 % (13108)------------------------------
% 27.78/5.59 % (13104)Success in time 4.363 s
% 27.78/5.59 % Vampire---4.8 exiting
%------------------------------------------------------------------------------