TSTP Solution File: GEO117+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---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 : n031.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 : Fri Sep 1 14:42:54 EDT 2023
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 218 ( 11 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 264 ( 90 ~; 82 |; 75 &)
% ( 13 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-4 aty)
% Number of variables : 175 (; 156 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f486,plain,
$false,
inference(resolution,[],[f485,f184]) ).
fof(f184,plain,
ordered_by(sK7,sK8,sK8),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
ordered_by(sK7,sK8,sK8),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f55,f96]) ).
fof(f96,plain,
( ? [X0,X1] : ordered_by(X0,X1,X1)
=> ordered_by(sK7,sK8,sK8) ),
introduced(choice_axiom,[]) ).
fof(f55,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.GX0ruNQywz/Vampire---4.8_13082',theorem_4_4) ).
fof(f485,plain,
! [X0,X1] : ~ ordered_by(X0,X1,X1),
inference(factoring,[],[f476]) ).
fof(f476,plain,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| ~ ordered_by(X0,X2,X1) ),
inference(resolution,[],[f475,f274]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( sP5(X0,X1,X2,X3)
| ~ ordered_by(X2,X1,X0)
| ~ ordered_by(X2,X3,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ( sP5(X0,X1,X2,X3)
| ( ( ~ ordered_by(X2,X1,X0)
| ~ ordered_by(X2,X3,X1) )
& ( ~ ordered_by(X2,X1,X3)
| ~ ordered_by(X2,X0,X1) ) ) )
& ( ( ordered_by(X2,X1,X0)
& ordered_by(X2,X3,X1) )
| ( ordered_by(X2,X1,X3)
& ordered_by(X2,X0,X1) )
| ~ sP5(X0,X1,X2,X3) ) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X1,X2,X0,X3] :
( ( sP5(X1,X2,X0,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) )
| ~ sP5(X1,X2,X0,X3) ) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X1,X2,X0,X3] :
( ( sP5(X1,X2,X0,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) )
| ~ sP5(X1,X2,X0,X3) ) ),
inference(nnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X1,X2,X0,X3] :
( sP5(X1,X2,X0,X3)
<=> ( ( ordered_by(X0,X2,X1)
& ordered_by(X0,X3,X2) )
| ( ordered_by(X0,X2,X3)
& ordered_by(X0,X1,X2) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f475,plain,
! [X3,X4,X5] : ~ sP5(X3,X4,X5,X3),
inference(resolution,[],[f473,f276]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( between_o(X0,X1,X2,X3)
| ~ sP5(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( ( between_o(X0,X1,X2,X3)
| ~ sP5(X1,X2,X0,X3) )
& ( sP5(X1,X2,X0,X3)
| ~ between_o(X0,X1,X2,X3) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( between_o(X0,X1,X2,X3)
<=> sP5(X1,X2,X0,X3) ),
inference(definition_folding,[],[f53,f92]) ).
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.GX0ruNQywz/Vampire---4.8_13082',between_o_defn) ).
fof(f473,plain,
! [X2,X0,X1] : ~ between_o(X0,X1,X2,X1),
inference(resolution,[],[f468,f282]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( sP6(X2,X1,X0,X3)
| ~ between_o(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ( between_o(X3,X0,X1,X2)
| ~ sP6(X2,X1,X0,X3) )
& ( sP6(X2,X1,X0,X3)
| ~ between_o(X3,X0,X1,X2) ) ),
inference(nnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( between_o(X3,X0,X1,X2)
<=> sP6(X2,X1,X0,X3) ),
inference(definition_folding,[],[f54,f94]) ).
fof(f94,plain,
! [X2,X1,X0,X3] :
( sP6(X2,X1,X0,X3)
<=> ? [X4] :
( between_c(X4,X0,X1,X2)
& ! [X5] :
( incident_o(X5,X3)
<=> incident_c(X5,X4) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
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.GX0ruNQywz/Vampire---4.8_13082',o3) ).
fof(f468,plain,
! [X2,X0,X1] : ~ sP6(X0,X1,X0,X2),
inference(resolution,[],[f279,f291]) ).
fof(f291,plain,
! [X2,X0,X1] : ~ between_c(X0,X1,X2,X1),
inference(equality_resolution,[],[f263]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( X1 != X3
| ~ between_c(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,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,sK30(X0,X1,X2,X3))
& end_point(X3,sK30(X0,X1,X2,X3))
& end_point(X1,sK30(X0,X1,X2,X3))
& part_of(sK30(X0,X1,X2,X3),X0)
& X1 != X3 )
| ~ between_c(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f171,f172]) ).
fof(f172,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,sK30(X0,X1,X2,X3))
& end_point(X3,sK30(X0,X1,X2,X3))
& end_point(X1,sK30(X0,X1,X2,X3))
& part_of(sK30(X0,X1,X2,X3),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f171,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,[],[f170]) ).
fof(f170,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,[],[f169]) ).
fof(f169,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.GX0ruNQywz/Vampire---4.8_13082',between_c_defn) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( between_c(sK32(X0,X1,X2,X3),X2,X1,X0)
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ( sP6(X0,X1,X2,X3)
| ! [X4] :
( ~ between_c(X4,X2,X1,X0)
| ( ( ~ incident_c(sK31(X3,X4),X4)
| ~ incident_o(sK31(X3,X4),X3) )
& ( incident_c(sK31(X3,X4),X4)
| incident_o(sK31(X3,X4),X3) ) ) ) )
& ( ( between_c(sK32(X0,X1,X2,X3),X2,X1,X0)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK32(X0,X1,X2,X3)) )
& ( incident_c(X7,sK32(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) )
| ~ sP6(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f179,f181,f180]) ).
fof(f180,plain,
! [X3,X4] :
( ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) )
=> ( ( ~ incident_c(sK31(X3,X4),X4)
| ~ incident_o(sK31(X3,X4),X3) )
& ( incident_c(sK31(X3,X4),X4)
| incident_o(sK31(X3,X4),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ? [X6] :
( between_c(X6,X2,X1,X0)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
=> ( between_c(sK32(X0,X1,X2,X3),X2,X1,X0)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,sK32(X0,X1,X2,X3)) )
& ( incident_c(X7,sK32(X0,X1,X2,X3))
| ~ incident_o(X7,X3) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ( sP6(X0,X1,X2,X3)
| ! [X4] :
( ~ between_c(X4,X2,X1,X0)
| ? [X5] :
( ( ~ incident_c(X5,X4)
| ~ incident_o(X5,X3) )
& ( incident_c(X5,X4)
| incident_o(X5,X3) ) ) ) )
& ( ? [X6] :
( between_c(X6,X2,X1,X0)
& ! [X7] :
( ( incident_o(X7,X3)
| ~ incident_c(X7,X6) )
& ( incident_c(X7,X6)
| ~ incident_o(X7,X3) ) ) )
| ~ sP6(X0,X1,X2,X3) ) ),
inference(rectify,[],[f178]) ).
fof(f178,plain,
! [X2,X1,X0,X3] :
( ( sP6(X2,X1,X0,X3)
| ! [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) ) ) )
| ~ sP6(X2,X1,X0,X3) ) ),
inference(nnf_transformation,[],[f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO117+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n031.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 : Wed Aug 30 18:38:12 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.42 % (13247)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (13274)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43 % (13275)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43 % (13278)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43 % (13277)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43 % (13279)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43 % (13280)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43 % (13281)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.44 TRYING [3]
% 0.22/0.44 % (13280)First to succeed.
% 0.22/0.45 % (13280)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for Vampire---4
% 0.22/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.45 % (13280)------------------------------
% 0.22/0.45 % (13280)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.45 % (13280)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.45 % (13280)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (13280)Memory used [KB]: 1407
% 0.22/0.45 % (13280)Time elapsed: 0.016 s
% 0.22/0.45 % (13280)------------------------------
% 0.22/0.45 % (13280)------------------------------
% 0.22/0.45 % (13247)Success in time 0.076 s
% 0.22/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------