TSTP Solution File: GEO117+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 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 23:31:00 EDT 2023
% Result : Theorem 0.23s 0.45s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 10 unt; 0 def)
% Number of atoms : 181 ( 11 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 225 ( 77 ~; 70 |; 66 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 129 (; 111 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f291,plain,
$false,
inference(subsumption_resolution,[],[f281,f150]) ).
fof(f150,plain,
ordered_by(sK0,sK1,sK1),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
ordered_by(sK0,sK1,sK1),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f57,f82]) ).
fof(f82,plain,
( ? [X0,X1] : ordered_by(X0,X1,X1)
=> ordered_by(sK0,sK1,sK1) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0,X1] : ordered_by(X0,X1,X1),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
~ ! [X0,X1] : ~ ordered_by(X0,X1,X1),
inference(rectify,[],[f29]) ).
fof(f29,negated_conjecture,
~ ! [X8,X2] : ~ ordered_by(X8,X2,X2),
inference(negated_conjecture,[],[f28]) ).
fof(f28,conjecture,
! [X8,X2] : ~ ordered_by(X8,X2,X2),
file('/export/starexec/sandbox2/tmp/tmp.doJcAH4ql5/Vampire---4.8_17153',theorem_4_4) ).
fof(f281,plain,
~ ordered_by(sK0,sK1,sK1),
inference(resolution,[],[f279,f150]) ).
fof(f279,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(resolution,[],[f277,f221]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) )
& ( ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ) ) )
& ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(flattening,[],[f143]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ( ( ~ ordered_by(X0,X2,X1)
| ~ ordered_by(X0,X3,X2) )
& ( ~ ordered_by(X0,X2,X3)
| ~ ordered_by(X0,X1,X2) ) ) )
& ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) )
| ~ between_o(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( between_o(X0,X1,X2,X3)
<=> ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X8,X2,X4,X6] :
( between_o(X8,X2,X4,X6)
<=> ( ( ordered_by(X8,X4,X2)
& ordered_by(X8,X6,X4) )
| ( ordered_by(X8,X4,X6)
& ordered_by(X8,X2,X4) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.doJcAH4ql5/Vampire---4.8_17153',between_o_defn) ).
fof(f277,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f224,f233]) ).
fof(f233,plain,
! [X2,X3,X0] : ~ between_c(X0,X3,X2,X3),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( inner_point(X2,sK21(X0,X1,X2,X3))
& end_point(X3,sK21(X0,X1,X2,X3))
& end_point(X1,sK21(X0,X1,X2,X3))
& part_of(sK21(X0,X1,X2,X3),X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f140,f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
=> ( inner_point(X2,sK21(X0,X1,X2,X3))
& end_point(X3,sK21(X0,X1,X2,X3))
& end_point(X1,sK21(X0,X1,X2,X3))
& part_of(sK21(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X5] :
( inner_point(X2,X5)
& end_point(X3,X5)
& end_point(X1,X5)
& part_of(X5,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ( between_c(X0,X1,X2,X3)
| ! [X4] :
( ~ inner_point(X2,X4)
| ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ part_of(X4,X0) )
| X1 = X3 )
& ( ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( between_c(X0,X1,X2,X3)
<=> ( ? [X4] :
( inner_point(X2,X4)
& end_point(X3,X4)
& end_point(X1,X4)
& part_of(X4,X0) )
& X1 != X3 ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X2,X4,X6] :
( between_c(X0,X2,X4,X6)
<=> ( ? [X7] :
( inner_point(X4,X7)
& end_point(X6,X7)
& end_point(X2,X7)
& part_of(X7,X0) )
& X2 != X6 ) ),
file('/export/starexec/sandbox2/tmp/tmp.doJcAH4ql5/Vampire---4.8_17153',between_c_defn) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( between_c(sK23(X0,X1,X2,X3),X0,X1,X2)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ( ( ~ incident_c(sK22(X3,X4),X4)
| ~ incident_o(sK22(X3,X4),X3) )
& ( incident_c(sK22(X3,X4),X4)
| incident_o(sK22(X3,X4),X3) ) ) ) )
& ( ( between_c(sK23(X0,X1,X2,X3),X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK23(X0,X1,X2,X3)) )
& ( incident_c(X7,sK23(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f146,f148,f147]) ).
fof(f147,plain,
! [X3,X4] :
( ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) )
=> ( ( ~ incident_c(sK22(X3,X4),X4)
| ~ incident_o(sK22(X3,X4),X3) )
& ( incident_c(sK22(X3,X4),X4)
| incident_o(sK22(X3,X4),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( between_c(X6,X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
=> ( between_c(sK23(X0,X1,X2,X3),X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK23(X0,X1,X2,X3)) )
& ( incident_c(X7,sK23(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) ) ) )
& ( ? [X6] :
( between_c(X6,X0,X1,X2)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(rectify,[],[f145]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ! [X4] :
( ~ between_c(X4,X0,X1,X2)
| ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) ) ) )
& ( ? [X4] :
( between_c(X4,X0,X1,X2)
& ! [X5] :
( ( incident_o(X5,X3)
| ~ incident_c(X5,X4) )
& ( incident_c(X5,X4)
| ~ incident_o(X5,X3) ) ) )
| ~ between_o(X3,X0,X1,X2) ) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( between_o(X3,X0,X1,X2)
<=> ? [X4] :
( between_c(X4,X0,X1,X2)
& ! [X5] :
( incident_o(X5,X3)
<=> incident_c(X5,X4) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X2,X4,X6,X8] :
( between_o(X8,X2,X4,X6)
<=> ? [X0] :
( between_c(X0,X2,X4,X6)
& ! [X2] :
( incident_o(X2,X8)
<=> incident_c(X2,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.doJcAH4ql5/Vampire---4.8_17153',o3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.15/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n015.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 23:41:27 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.22/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.doJcAH4ql5/Vampire---4.8_17153
% 0.22/0.38 % (17627)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.44 % (17630)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.23/0.44 % (17633)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_424 on Vampire---4 for (424ds/0Mi)
% 0.23/0.44 % (17631)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.23/0.44 % (17629)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.23/0.44 % (17635)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.23/0.44 % (17632)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.23/0.44 % (17634)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.23/0.45 % (17632)Refutation not found, incomplete strategy% (17632)------------------------------
% 0.23/0.45 % (17632)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (17632)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (17632)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.45
% 0.23/0.45 % (17634)First to succeed.
% 0.23/0.45 % (17632)Memory used [KB]: 10234
% 0.23/0.45 % (17632)Time elapsed: 0.009 s
% 0.23/0.45 % (17632)------------------------------
% 0.23/0.45 % (17632)------------------------------
% 0.23/0.45 % (17634)Refutation found. Thanks to Tanya!
% 0.23/0.45 % SZS status Theorem for Vampire---4
% 0.23/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.45 % (17634)------------------------------
% 0.23/0.45 % (17634)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.45 % (17634)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.45 % (17634)Termination reason: Refutation
% 0.23/0.45
% 0.23/0.45 % (17634)Memory used [KB]: 5628
% 0.23/0.45 % (17634)Time elapsed: 0.009 s
% 0.23/0.45 % (17634)------------------------------
% 0.23/0.45 % (17634)------------------------------
% 0.23/0.45 % (17627)Success in time 0.068 s
% 0.23/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------