TSTP Solution File: NUM736+4 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM736+4 : TPTP v8.1.2. Released v7.3.0.
% 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 : n007.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 : Thu Aug 31 12:14:52 EDT 2023
% Result : Theorem 32.92s 5.23s
% Output : Refutation 32.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 9 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 208 ( 74 ~; 65 |; 36 &)
% ( 17 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 127 (; 119 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56615,plain,
$false,
inference(subsumption_resolution,[],[f5435,f56612]) ).
fof(f56612,plain,
~ sP6(aTP_Lamm_ab),
inference(resolution,[],[f56601,f2671]) ).
fof(f2671,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(X0,sK27(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f1767]) ).
fof(f1767,plain,
! [X0] :
( ( ~ pp(aa_TPTP_ind_bool(X0,sK27(X0)))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),sK27(X0))) )
& gg_TPTP_ind(sK27(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f1765,f1766]) ).
fof(f1766,plain,
! [X0] :
( ? [X1] :
( ~ pp(aa_TPTP_ind_bool(X0,X1))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1)) )
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(X0,sK27(X0)))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),sK27(X0))) )
& gg_TPTP_ind(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1765,plain,
! [X0] :
( ? [X1] :
( ~ pp(aa_TPTP_ind_bool(X0,X1))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1)) )
& gg_TPTP_ind(X1) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f1717]) ).
fof(f1717,plain,
! [X0] :
( ? [X1] :
( ~ pp(aa_TPTP_ind_bool(X0,X1))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1)) )
& gg_TPTP_ind(X1) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f56601,plain,
! [X5] : pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X5)),
inference(subsumption_resolution,[],[f5441,f56600]) ).
fof(f56600,plain,
! [X6] : ~ sP6(aa_TPT43085870d_bool(aTP_Lamm_aa,X6)),
inference(subsumption_resolution,[],[f6357,f56592]) ).
fof(f56592,plain,
! [X0] :
( ~ sP6(aa_TPT43085870d_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),sK27(aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))) ),
inference(resolution,[],[f6378,f35405]) ).
fof(f35405,plain,
! [X11,X12] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X11),X12))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X12),X11)) ),
inference(forward_literal_rewriting,[],[f35387,f3400]) ).
fof(f3400,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
inference(cnf_transformation,[],[f2125]) ).
fof(f2125,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
inference(nnf_transformation,[],[f1256]) ).
fof(f1256,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X3,X4] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X3),X4))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X3)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X4))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X4)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X3)))) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_def__moref) ).
fof(f35387,plain,
! [X11,X12] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X11),X12))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X12)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X11))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X11)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X12)))) ),
inference(resolution,[],[f3403,f4064]) ).
fof(f4064,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X1),X0)) ),
inference(forward_literal_rewriting,[],[f3421,f3418]) ).
fof(f3418,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f2136]) ).
fof(f2136,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f1264]) ).
fof(f1264,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X0),X1))) ),
inference(rectify,[],[f78]) ).
fof(f78,axiom,
! [X3,X4] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc125826166_29_ii,X3),X4))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X3),X4))) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_def__d__29__ii) ).
fof(f3421,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f2137]) ).
fof(f2137,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f1265]) ).
fof(f1265,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X1),X0))) ),
inference(rectify,[],[f77]) ).
fof(f77,axiom,
! [X3,X4] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,X3),X4))
<=> pp(aa_fun171081125l_bool(scratc1523036013n_some,aa_TPT43085870d_bool(scratc1590329917ffprop(X4),X3))) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_def__iii) ).
fof(f3403,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f2126]) ).
fof(f2126,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1)) ) ),
inference(nnf_transformation,[],[f1257]) ).
fof(f1257,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X0)))) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X3,X4] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X3),X4))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1575674740nd_iii,aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X3)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X4))),aa_TPTP_ind_TPTP_ind(scratc128556792d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1617769457nd_num,X4)),aa_TPTP_ind_TPTP_ind(scratc1534104824nd_den,X3)))) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_def__lessf) ).
fof(f6378,plain,
! [X6] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,sK27(aa_TPT43085870d_bool(aTP_Lamm_aa,X6))),X6))
| ~ sP6(aa_TPT43085870d_bool(aTP_Lamm_aa,X6)) ),
inference(resolution,[],[f3318,f2671]) ).
fof(f3318,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ),
inference(cnf_transformation,[],[f2072]) ).
fof(f2072,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f2071]) ).
fof(f2071,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1536]) ).
fof(f1536,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f1226]) ).
fof(f1226,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X1),X0)) ) ),
inference(rectify,[],[f581]) ).
fof(f581,axiom,
! [X24,X25] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X24),X25))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X24),X25))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc550632248_lessf,X25),X24)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_ATP_Olambda__182) ).
fof(f6357,plain,
! [X6] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X6),sK27(aa_TPT43085870d_bool(aTP_Lamm_aa,X6))))
| ~ sP6(aa_TPT43085870d_bool(aTP_Lamm_aa,X6)) ),
inference(resolution,[],[f3317,f2671]) ).
fof(f3317,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc896954044_moref,X0),X1)) ),
inference(cnf_transformation,[],[f2072]) ).
fof(f5441,plain,
! [X5] :
( sP6(aa_TPT43085870d_bool(aTP_Lamm_aa,X5))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X5)) ),
inference(resolution,[],[f5416,f2697]) ).
fof(f2697,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1780]) ).
fof(f1780,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f901]) ).
fof(f901,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(rectify,[],[f539]) ).
fof(f539,axiom,
! [X24] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X24))
<=> pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X24))) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_ATP_Olambda__140) ).
fof(f5416,plain,
! [X2,X3] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X2),X3))
| sP6(X3) ),
inference(resolution,[],[f3097,f2672]) ).
fof(f2672,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(X0,X1))
| sP6(X0) ),
inference(cnf_transformation,[],[f1768]) ).
fof(f1768,plain,
! [X0] :
( ! [X1] : pp(aa_TPTP_ind_bool(X0,X1))
| sP6(X0) ),
inference(rectify,[],[f1718]) ).
fof(f1718,plain,
! [X0] :
( ! [X3] : pp(aa_TPTP_ind_bool(X0,X3))
| sP6(X0) ),
inference(definition_folding,[],[f1506,f1717]) ).
fof(f1506,plain,
! [X0] :
( ! [X3] : pp(aa_TPTP_ind_bool(X0,X3))
| ? [X1] :
( ~ pp(aa_TPTP_ind_bool(X0,X1))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1)) )
& gg_TPTP_ind(X1) ) ),
inference(flattening,[],[f1505]) ).
fof(f1505,plain,
! [X0] :
( ! [X3] : pp(aa_TPTP_ind_bool(X0,X3))
| ? [X1] :
( ~ pp(aa_TPTP_ind_bool(X0,X1))
& ! [X2] :
( pp(aa_TPTP_ind_bool(X0,X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1)) )
& gg_TPTP_ind(X1) ) ),
inference(ennf_transformation,[],[f888]) ).
fof(f888,plain,
! [X0] :
( ! [X1] :
( gg_TPTP_ind(X1)
=> ( ! [X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X2),X1))
=> pp(aa_TPTP_ind_bool(X0,X2)) )
=> pp(aa_TPTP_ind_bool(X0,X1)) ) )
=> ! [X3] : pp(aa_TPTP_ind_bool(X0,X3)) ),
inference(rectify,[],[f398]) ).
fof(f398,axiom,
! [X16] :
( ! [X22] :
( gg_TPTP_ind(X22)
=> ( ! [X18] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc695511610bnd_in,X18),X22))
=> pp(aa_TPTP_ind_bool(X16,X18)) )
=> pp(aa_TPTP_ind_bool(X16,X22)) ) )
=> ! [X23] : pp(aa_TPTP_ind_bool(X16,X23)) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_k__In__ind) ).
fof(f3097,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1961]) ).
fof(f1961,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1)))
& scratc1458855606_is_of(sK36(X0,X1),X0)
& gg_TPTP_ind(sK36(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1458855606_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36])],[f1959,f1960]) ).
fof(f1960,plain,
! [X0,X1] :
( ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1458855606_is_of(X2,X0)
& gg_TPTP_ind(X2) )
=> ( ~ pp(aa_TPTP_ind_bool(X1,sK36(X0,X1)))
& scratc1458855606_is_of(sK36(X0,X1),X0)
& gg_TPTP_ind(sK36(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f1959,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1458855606_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1458855606_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(rectify,[],[f1958]) ).
fof(f1958,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1458855606_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1458855606_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1535]) ).
fof(f1535,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1458855606_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1534]) ).
fof(f1534,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1458855606_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f1116]) ).
fof(f1116,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1458855606_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
inference(rectify,[],[f196]) ).
fof(f196,axiom,
! [X3,X4] :
( pp(aa_fun171081125l_bool(scratc1668550563all_of(X3),X4))
<=> ! [X11] :
( gg_TPTP_ind(X11)
=> ( scratc1458855606_is_of(X11,X3)
=> pp(aa_TPTP_ind_bool(X4,X11)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',fact_def__all__of) ).
fof(f5435,plain,
sP6(aTP_Lamm_ab),
inference(resolution,[],[f5416,f2420]) ).
fof(f2420,plain,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f843]) ).
fof(f843,plain,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f842]) ).
fof(f842,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[],[f841]) ).
fof(f841,conjecture,
pp(aa_fun171081125l_bool(scratc1668550563all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.22 % Problem : NUM736+4 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.24 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.23/0.45 % Computer : n007.cluster.edu
% 0.23/0.45 % Model : x86_64 x86_64
% 0.23/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.45 % Memory : 8042.1875MB
% 0.23/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.45 % CPULimit : 300
% 0.23/0.45 % WCLimit : 300
% 0.23/0.45 % DateTime : Fri Aug 25 12:05:26 EDT 2023
% 0.23/0.45 % CPUTime :
% 0.23/0.45 This is a FOF_THM_RFO_SEQ problem
% 0.23/0.45 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725
% 0.23/0.46 % (4840)Running in auto input_syntax mode. Trying TPTP
% 0.30/0.56 % (4847)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.30/0.56 % (4845)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.30/0.56 % (4841)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.30/0.56 % (4846)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.30/0.56 % (4843)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.30/0.56 % (4844)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.30/0.56 % (4842)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 32.73/5.22 % (4845)First to succeed.
% 32.92/5.23 % (4845)Refutation found. Thanks to Tanya!
% 32.92/5.23 % SZS status Theorem for Vampire---4
% 32.92/5.23 % SZS output start Proof for Vampire---4
% See solution above
% 32.92/5.23 % (4845)------------------------------
% 32.92/5.23 % (4845)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 32.92/5.23 % (4845)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 32.92/5.23 % (4845)Termination reason: Refutation
% 32.92/5.23
% 32.92/5.23 % (4845)Memory used [KB]: 74071
% 32.92/5.23 % (4845)Time elapsed: 4.659 s
% 32.92/5.23 % (4845)------------------------------
% 32.92/5.23 % (4845)------------------------------
% 32.92/5.23 % (4840)Success in time 4.762 s
% 32.92/5.23 4842 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.vP60NeojjX/Vampire---4.8_4725
% 32.92/5.23 % (4842)------------------------------
% 32.92/5.23 % (4842)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 32.92/5.23 % (4842)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 32.92/5.23 % (4842)Termination reason: Refutation not found, SMT solver inside AVATAR returned Unknown
% 32.92/5.23
% 32.92/5.23 % (4842)Memory used [KB]: 20468
% 32.92/5.23 % (4842)Time elapsed: 4.664 s
% 32.92/5.23 % (4842)------------------------------
% 32.92/5.23 % (4842)------------------------------
% 32.92/5.23 % Vampire---4.8 exiting
%------------------------------------------------------------------------------