%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM690+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:30 PM UTC 2026
% Result : Theorem 36.23s 6.83s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 51
% Syntax : Number of formulae : 294 ( 46 unt; 31 def)
% Number of atoms : 734 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 755 ( 315 ~; 339 |; 39 &)
% ( 54 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 32 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-2 aty)
% Number of variables : 189 ( 0 sgn 187 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f35,axiom,
! [X0] : scratc1634701238d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1634196789_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f150,axiom,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_bz)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz22b) ).
fof(f192,axiom,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz14) ).
fof(f194,axiom,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz12) ).
fof(f321,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gr,X0))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__35) ).
fof(f323,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gn,X0))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__37) ).
fof(f363,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__77) ).
fof(f365,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__79) ).
fof(f387,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__101) ).
fof(f388,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__102) ).
fof(f442,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__156) ).
fof(f444,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__158) ).
fof(f505,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__219) ).
fof(f507,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__221) ).
fof(f522,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__236) ).
fof(f529,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__243) ).
fof(f560,conjecture,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f561,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f560]) ).
fof(f562,plain,
~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f561]) ).
fof(f579,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1634196789_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f580,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1634196789_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f579]) ).
fof(f645,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f387]) ).
fof(f646,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f388]) ).
fof(f698,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ) ),
inference(ennf_transformation,[],[f522]) ).
fof(f699,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ) ),
inference(flattening,[],[f698]) ).
fof(f712,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f529]) ).
fof(f713,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) ),
inference(flattening,[],[f712]) ).
fof(f731,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f732,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f795,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1634196789_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1634196789_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f580]) ).
fof(f796,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1634196789_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1634196789_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1)) ) ),
inference(rectify,[],[f795]) ).
fof(f797,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1634196789_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1634196789_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f796]) ).
fof(f851,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gr,X0))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gr,X0)) ) ),
inference(nnf_transformation,[],[f321]) ).
fof(f853,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gn,X0))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gn,X0)) ) ),
inference(nnf_transformation,[],[f323]) ).
fof(f893,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ) ),
inference(nnf_transformation,[],[f363]) ).
fof(f895,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f365]) ).
fof(f924,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1)) ) ),
inference(nnf_transformation,[],[f645]) ).
fof(f925,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1)) ) ),
inference(flattening,[],[f924]) ).
fof(f926,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1)) ) ),
inference(nnf_transformation,[],[f646]) ).
fof(f927,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1)) ) ),
inference(flattening,[],[f926]) ).
fof(f987,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ) ),
inference(nnf_transformation,[],[f442]) ).
fof(f989,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1)) ) ),
inference(nnf_transformation,[],[f444]) ).
fof(f1076,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f505]) ).
fof(f1078,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f507]) ).
fof(f1097,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f699]) ).
fof(f1098,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1097]) ).
fof(f1111,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f713]) ).
fof(f1112,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1111]) ).
fof(f1161,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f731]) ).
fof(f1162,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f732]) ).
fof(f1174,plain,
! [X0] : scratc1634701238d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1348,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1634196789_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1)) ),
inference(cnf_transformation,[],[f797]) ).
fof(f1349,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f797]) ).
fof(f1350,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| scratc1634196789_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f797]) ).
fof(f1351,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f797]) ).
fof(f1355,plain,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_bz)),
inference(cnf_transformation,[],[f150]) ).
fof(f1397,plain,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gn)),
inference(cnf_transformation,[],[f192]) ).
fof(f1399,plain,
pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gr)),
inference(cnf_transformation,[],[f194]) ).
fof(f1590,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gr,X0)) ),
inference(cnf_transformation,[],[f851]) ).
fof(f1594,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gn,X0)) ),
inference(cnf_transformation,[],[f853]) ).
fof(f1674,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ),
inference(cnf_transformation,[],[f893]) ).
fof(f1679,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f895]) ).
fof(f1727,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,X0),X1)) ),
inference(cnf_transformation,[],[f925]) ).
fof(f1730,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,X0),X1)) ),
inference(cnf_transformation,[],[f927]) ).
fof(f1845,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ),
inference(cnf_transformation,[],[f987]) ).
fof(f1850,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f989]) ).
fof(f2003,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1076]) ).
fof(f2008,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f1078]) ).
fof(f2045,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1098]) ).
fof(f2074,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f1112]) ).
fof(f2075,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,X2),X3)) ),
inference(cnf_transformation,[],[f1112]) ).
fof(f2076,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1634701238d_n_pl(X1),X3))) ),
inference(cnf_transformation,[],[f1112]) ).
fof(f2128,plain,
~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f562]) ).
fof(f2292,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X1)),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(X0),X1),X2),X3)) ),
inference(definition_unfolding,[],[f2045,f1174,f1174]) ).
fof(f2305,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,X1)),X3))) ),
inference(definition_unfolding,[],[f2076,f1174,f1174]) ).
fof(f2340,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2342,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_ad))
| spl29_1 ),
inference(avatar_component_clause,[],[f2340]) ).
fof(f2343,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2128,f2340]) ).
fof(f2344,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| spl29_1 ),
inference(resolution,[],[f2342,f1349]) ).
fof(f2345,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2342,f1350]) ).
fof(f2346,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_1 ),
inference(resolution,[],[f2342,f1351]) ).
fof(f2359,definition,
( spl29_2
<=> scratc1634196789_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2361,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2359]) ).
fof(f2362,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2345,f2340,f2359]) ).
fof(f2364,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2366,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2364]) ).
fof(f2367,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2346,f2340,f2364]) ).
fof(f2368,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_3 ),
inference(resolution,[],[f2366,f1679]) ).
fof(f2406,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2361,f1348]) ).
fof(f2407,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f2406,f2344]) ).
fof(f2409,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2410,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f2411,plain,
( spl29_4
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f2407,f2359,f2340,f2409]) ).
fof(f2832,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gr))
| pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(resolution,[],[f2410,f1590]) ).
fof(f2908,plain,
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2832,f1399]) ).
fof(f3022,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f3024,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f3025,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2368,f2364,f3022]) ).
fof(f3027,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(resolution,[],[f3024,f1349]) ).
fof(f3028,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f3024,f1350]) ).
fof(f3029,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_6 ),
inference(resolution,[],[f3024,f1351]) ).
fof(f3042,definition,
( spl29_7
<=> scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f3044,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f3042]) ).
fof(f3045,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f3028,f3022,f3042]) ).
fof(f3047,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f3049,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f3047]) ).
fof(f3050,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f3029,f3022,f3047]) ).
fof(f3051,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_8 ),
inference(resolution,[],[f3049,f1850]) ).
fof(f3097,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f3099,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f3097]) ).
fof(f3100,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f3051,f3047,f3097]) ).
fof(f3102,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_9 ),
inference(resolution,[],[f3099,f1349]) ).
fof(f3103,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f3099,f1350]) ).
fof(f3104,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_9 ),
inference(resolution,[],[f3099,f1351]) ).
fof(f3117,definition,
( spl29_10
<=> scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f3119,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f3117]) ).
fof(f3120,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f3103,f3097,f3117]) ).
fof(f3122,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f3119,f1348]) ).
fof(f3123,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f3122,f3102]) ).
fof(f3125,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f3044,f1348]) ).
fof(f3126,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3125,f3027]) ).
fof(f3128,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f3129,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f3128]) ).
fof(f3130,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f3126,f3042,f3022,f3128]) ).
fof(f3508,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_bz))
| pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_11 ),
inference(resolution,[],[f3129,f1674]) ).
fof(f3671,plain,
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f3508,f1355]) ).
fof(f3736,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3737,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3736]) ).
fof(f3738,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f3123,f3117,f3097,f3736]) ).
fof(f3932,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f3934,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f3932]) ).
fof(f3935,plain,
( ~ spl29_16
| spl29_9 ),
inference(avatar_split_clause,[],[f3104,f3097,f3932]) ).
fof(f3936,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_16 ),
inference(resolution,[],[f3934,f2008]) ).
fof(f3982,definition,
( spl29_17
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f3984,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f3982]) ).
fof(f3985,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f3936,f3932,f3982]) ).
fof(f3987,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(resolution,[],[f3984,f1349]) ).
fof(f3988,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| spl29_17 ),
inference(resolution,[],[f3984,f1350]) ).
fof(f3989,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_17 ),
inference(resolution,[],[f3984,f1351]) ).
fof(f4002,definition,
( spl29_18
<=> scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f4004,plain,
( scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f4002]) ).
fof(f4005,plain,
( spl29_18
| spl29_17 ),
inference(avatar_split_clause,[],[f3988,f3982,f4002]) ).
fof(f4017,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f4019,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f4017]) ).
fof(f4020,plain,
( ~ spl29_20
| spl29_17 ),
inference(avatar_split_clause,[],[f3989,f3982,f4017]) ).
fof(f4021,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_20 ),
inference(resolution,[],[f4019,f2074]) ).
fof(f4022,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(resolution,[],[f4019,f2075]) ).
fof(f4023,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_20 ),
inference(resolution,[],[f4019,f2305]) ).
fof(f4069,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f4071,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_21 ),
inference(avatar_component_clause,[],[f4069]) ).
fof(f4072,plain,
( ~ spl29_21
| spl29_20 ),
inference(avatar_split_clause,[],[f4023,f4017,f4069]) ).
fof(f4078,plain,
( ~ pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_21 ),
inference(resolution,[],[f4071,f1161]) ).
fof(f4614,definition,
( spl29_34
<=> pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f4616,plain,
( ~ pp(aa_fun171081125l_bool(scratc1806880942n_some,aa_TPT43085870d_bool(scratc703115580ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_34 ),
inference(avatar_component_clause,[],[f4614]) ).
fof(f4617,plain,
( ~ spl29_34
| spl29_21 ),
inference(avatar_split_clause,[],[f4078,f4069,f4614]) ).
fof(f4618,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_34 ),
inference(resolution,[],[f4616,f1162]) ).
fof(f4711,definition,
( spl29_38
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f4713,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1880753603bnd_ap,aa_TPTP_ind_TPTP_ind(scratc298872494d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ad))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_38 ),
inference(avatar_component_clause,[],[f4711]) ).
fof(f4714,plain,
( ~ spl29_38
| spl29_34 ),
inference(avatar_split_clause,[],[f4618,f4614,f4711]) ).
fof(f4718,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_38 ),
inference(resolution,[],[f4713,f2292]) ).
fof(f5140,definition,
( spl29_44
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).
fof(f5142,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc425415287lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_44 ),
inference(avatar_component_clause,[],[f5140]) ).
fof(f5143,plain,
( spl29_44
| spl29_20 ),
inference(avatar_split_clause,[],[f4022,f4017,f5140]) ).
fof(f5145,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_44 ),
inference(resolution,[],[f5142,f1727]) ).
fof(f5555,definition,
( spl29_53
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).
fof(f5557,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_53 ),
inference(avatar_component_clause,[],[f5555]) ).
fof(f5609,definition,
( spl29_54
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_54])],[avatar_definition]) ).
fof(f5610,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl29_54 ),
inference(avatar_component_clause,[],[f5609]) ).
fof(f5611,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_54 ),
inference(avatar_component_clause,[],[f5609]) ).
fof(f5613,definition,
( spl29_55
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_55])],[avatar_definition]) ).
fof(f5614,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl29_55 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f5615,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_55 ),
inference(avatar_component_clause,[],[f5613]) ).
fof(f6071,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc559398899moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_38
| ~ spl29_54 ),
inference(forward_subsumption_resolution,[],[f4718,f5610]) ).
fof(f6131,definition,
( spl29_63
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_63])],[avatar_definition]) ).
fof(f6133,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_63 ),
inference(avatar_component_clause,[],[f6131]) ).
fof(f6745,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc854361399_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_38
| ~ spl29_54
| ~ spl29_55 ),
inference(forward_subsumption_resolution,[],[f6071,f5614]) ).
fof(f6749,plain,
( ~ spl29_53
| spl29_38
| ~ spl29_54
| ~ spl29_55 ),
inference(avatar_split_clause,[],[f6745,f5613,f5609,f4711,f5555]) ).
fof(f6752,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc538174901nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_53 ),
inference(resolution,[],[f5557,f1730]) ).
fof(f6822,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_20
| spl29_53 ),
inference(forward_subsumption_resolution,[],[f6752,f4021]) ).
fof(f6824,definition,
( spl29_74
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_74])],[avatar_definition]) ).
fof(f6826,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_74 ),
inference(avatar_component_clause,[],[f6824]) ).
fof(f6827,plain,
( ~ spl29_74
| spl29_20
| spl29_53 ),
inference(avatar_split_clause,[],[f6822,f5555,f4017,f6824]) ).
fof(f6836,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gq,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_11
| spl29_74 ),
inference(resolution,[],[f6826,f3129]) ).
fof(f6875,plain,
( $false
| ~ spl29_4
| ~ spl29_11
| spl29_74 ),
inference(forward_subsumption_resolution,[],[f6836,f2908]) ).
fof(f6876,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_74 ),
inference(avatar_contradiction_clause,[],[f6875]) ).
fof(f6997,definition,
( spl29_75
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_75])],[avatar_definition]) ).
fof(f6998,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_75 ),
inference(avatar_component_clause,[],[f6997]) ).
fof(f6999,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_75 ),
inference(avatar_component_clause,[],[f6997]) ).
fof(f7011,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| spl29_75 ),
inference(resolution,[],[f6999,f1348]) ).
fof(f7045,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| spl29_17
| spl29_75 ),
inference(forward_subsumption_resolution,[],[f7011,f3987]) ).
fof(f7047,definition,
( spl29_76
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_76])],[avatar_definition]) ).
fof(f7049,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_76 ),
inference(avatar_component_clause,[],[f7047]) ).
fof(f7136,definition,
( spl29_77
<=> ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_77])],[avatar_definition]) ).
fof(f7137,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_77 ),
inference(avatar_component_clause,[],[f7136]) ).
fof(f7138,plain,
( spl29_77
| spl29_17
| spl29_75 ),
inference(avatar_split_clause,[],[f7045,f6997,f3982,f7136]) ).
fof(f7141,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_44
| spl29_55 ),
inference(forward_subsumption_resolution,[],[f5145,f5615]) ).
fof(f7344,plain,
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_75 ),
inference(resolution,[],[f6998,f2003]) ).
fof(f7377,plain,
( $false
| ~ spl29_75
| spl29_76 ),
inference(forward_subsumption_resolution,[],[f7344,f7049]) ).
fof(f7378,plain,
( ~ spl29_75
| spl29_76 ),
inference(avatar_contradiction_clause,[],[f7377]) ).
fof(f7959,definition,
( spl29_85
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_85])],[avatar_definition]) ).
fof(f7961,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_85 ),
inference(avatar_component_clause,[],[f7959]) ).
fof(f7962,plain,
( spl29_85
| spl29_17 ),
inference(avatar_split_clause,[],[f3987,f3982,f7959]) ).
fof(f8107,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bw(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_12
| spl29_54 ),
inference(resolution,[],[f3737,f5611]) ).
fof(f8384,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aTP_Lamm_gn))
| pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_12 ),
inference(resolution,[],[f3737,f1594]) ).
fof(f8463,plain,
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f8384,f1397]) ).
fof(f8711,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_18
| ~ spl29_77 ),
inference(resolution,[],[f7137,f4004]) ).
fof(f8714,definition,
( spl29_89
<=> pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_89])],[avatar_definition]) ).
fof(f8716,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_89 ),
inference(avatar_component_clause,[],[f8714]) ).
fof(f8717,plain,
( ~ spl29_89
| ~ spl29_18
| ~ spl29_77 ),
inference(avatar_split_clause,[],[f8711,f7136,f4002,f8714]) ).
fof(f9085,plain,
( ~ spl29_63
| ~ spl29_44
| spl29_55 ),
inference(avatar_split_clause,[],[f7141,f5613,f5140,f6131]) ).
fof(f9198,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) )
| spl29_63 ),
inference(resolution,[],[f6133,f1348]) ).
fof(f9232,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) )
| spl29_63
| ~ spl29_85 ),
inference(forward_subsumption_resolution,[],[f9198,f7961]) ).
fof(f9411,definition,
( spl29_94
<=> ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_94])],[avatar_definition]) ).
fof(f9412,plain,
( ! [X0] :
( ~ scratc1634196789_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) )
| ~ spl29_94 ),
inference(avatar_component_clause,[],[f9411]) ).
fof(f9413,plain,
( spl29_94
| spl29_63
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f9232,f7959,f6131,f9411]) ).
fof(f11017,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_89 ),
inference(resolution,[],[f8716,f1845]) ).
fof(f14643,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_94 ),
inference(resolution,[],[f9412,f1350]) ).
fof(f14648,plain,
( pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_12
| ~ spl29_94 ),
inference(forward_subsumption_resolution,[],[f14643,f8463]) ).
fof(f14649,plain,
( $false
| ~ spl29_12
| spl29_17
| ~ spl29_94 ),
inference(forward_subsumption_resolution,[],[f14648,f3984]) ).
fof(f14650,plain,
( ~ spl29_12
| spl29_17
| ~ spl29_94 ),
inference(avatar_contradiction_clause,[],[f14649]) ).
fof(f16915,plain,
( ~ spl29_76
| ~ spl29_12
| spl29_54 ),
inference(avatar_split_clause,[],[f8107,f5609,f3736,f7047]) ).
fof(f28946,definition,
( spl29_326
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_326])],[avatar_definition]) ).
fof(f28948,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_326 ),
inference(avatar_component_clause,[],[f28946]) ).
fof(f28949,plain,
( ~ spl29_326
| spl29_89 ),
inference(avatar_split_clause,[],[f11017,f8714,f28946]) ).
fof(f36325,plain,
( ~ pp(aa_fun171081125l_bool(scratc1952395492all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_4
| spl29_326 ),
inference(resolution,[],[f28948,f2410]) ).
fof(f36326,plain,
( $false
| ~ spl29_4
| ~ spl29_11
| spl29_326 ),
inference(forward_subsumption_resolution,[],[f36325,f3671]) ).
fof(f36327,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_326 ),
inference(avatar_contradiction_clause,[],[f36326]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2343]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2362]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2367]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f2411]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f3025]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f3045]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f3050]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f3100]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f3120]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f3130]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f3738]) ).
cnf(s16,plain,
( spl29_9
| ~ spl29_16 ),
inference(sat_conversion,[],[f3935]) ).
cnf(s17,plain,
( spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f3985]) ).
cnf(s18,plain,
( spl29_17
| spl29_18 ),
inference(sat_conversion,[],[f4005]) ).
cnf(s20,plain,
( spl29_17
| ~ spl29_20 ),
inference(sat_conversion,[],[f4020]) ).
cnf(s21,plain,
( spl29_20
| ~ spl29_21 ),
inference(sat_conversion,[],[f4072]) ).
cnf(s32,plain,
( spl29_21
| ~ spl29_34 ),
inference(sat_conversion,[],[f4617]) ).
cnf(s36,plain,
( spl29_34
| ~ spl29_38 ),
inference(sat_conversion,[],[f4714]) ).
cnf(s42,plain,
( spl29_20
| spl29_44 ),
inference(sat_conversion,[],[f5143]) ).
cnf(s79,plain,
( spl29_38
| ~ spl29_53
| ~ spl29_54
| ~ spl29_55 ),
inference(sat_conversion,[],[f6749]) ).
cnf(s80,plain,
( spl29_20
| spl29_53
| ~ spl29_74 ),
inference(sat_conversion,[],[f6827]) ).
cnf(s81,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_74 ),
inference(sat_conversion,[],[f6876]) ).
cnf(s85,plain,
( spl29_17
| spl29_75
| spl29_77 ),
inference(sat_conversion,[],[f7138]) ).
cnf(s88,plain,
( ~ spl29_75
| spl29_76 ),
inference(sat_conversion,[],[f7378]) ).
cnf(s99,plain,
( spl29_17
| spl29_85 ),
inference(sat_conversion,[],[f7962]) ).
cnf(s103,plain,
( ~ spl29_18
| ~ spl29_77
| ~ spl29_89 ),
inference(sat_conversion,[],[f8717]) ).
cnf(s114,plain,
( ~ spl29_44
| spl29_55
| ~ spl29_63 ),
inference(sat_conversion,[],[f9085]) ).
cnf(s116,plain,
( spl29_63
| ~ spl29_85
| spl29_94 ),
inference(sat_conversion,[],[f9413]) ).
cnf(s720,plain,
( ~ spl29_12
| spl29_17
| ~ spl29_94 ),
inference(sat_conversion,[],[f14650]) ).
cnf(s765,plain,
( ~ spl29_12
| spl29_54
| ~ spl29_76 ),
inference(sat_conversion,[],[f16915]) ).
cnf(s2574,plain,
( spl29_89
| ~ spl29_326 ),
inference(sat_conversion,[],[f28949]) ).
cnf(s4000,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_326 ),
inference(sat_conversion,[],[f36327]) ).
cnf(s4002,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s4003,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s4010,plain,
~ spl29_6,
inference(rat,[],[s6,s4002]) ).
cnf(s4011,plain,
spl29_4,
inference(rat,[],[s4,s1,s4003]) ).
cnf(s4013,plain,
~ spl29_8,
inference(rat,[],[s8,s4010]) ).
cnf(s4014,plain,
spl29_7,
inference(rat,[],[s7,s4010]) ).
cnf(s4085,plain,
~ spl29_9,
inference(rat,[],[s9,s4013]) ).
cnf(s4086,plain,
spl29_11,
inference(rat,[],[s11,s4010,s4014]) ).
cnf(s4087,plain,
~ spl29_16,
inference(rat,[],[s16,s4085]) ).
cnf(s4089,plain,
spl29_10,
inference(rat,[],[s10,s4085]) ).
cnf(s4090,plain,
spl29_326,
inference(rat,[],[s4000,s4011,s4086]) ).
cnf(s4103,plain,
spl29_74,
inference(rat,[],[s81,s4011,s4086]) ).
cnf(s4107,plain,
~ spl29_17,
inference(rat,[],[s17,s4087]) ).
cnf(s4110,plain,
spl29_12,
inference(rat,[],[s12,s4085,s4089]) ).
cnf(s4111,plain,
spl29_89,
inference(rat,[],[s2574,s4090]) ).
cnf(s4112,plain,
spl29_85,
inference(rat,[],[s99,s4107]) ).
cnf(s4113,plain,
~ spl29_20,
inference(rat,[],[s20,s4107]) ).
cnf(s4114,plain,
spl29_18,
inference(rat,[],[s18,s4107]) ).
cnf(s4116,plain,
~ spl29_94,
inference(rat,[],[s720,s4107,s4110]) ).
cnf(s4117,plain,
spl29_63,
inference(rat,[],[s116,s4116,s4112]) ).
cnf(s4120,plain,
spl29_53,
inference(rat,[],[s80,s4103,s4113]) ).
cnf(s4121,plain,
spl29_44,
inference(rat,[],[s42,s4113]) ).
cnf(s4122,plain,
~ spl29_21,
inference(rat,[],[s21,s4113]) ).
cnf(s4125,plain,
~ spl29_77,
inference(rat,[],[s103,s4111,s4114]) ).
cnf(s4136,plain,
spl29_55,
inference(rat,[],[s114,s4117,s4121]) ).
cnf(s4140,plain,
~ spl29_34,
inference(rat,[],[s32,s4122]) ).
cnf(s4143,plain,
spl29_75,
inference(rat,[],[s85,s4107,s4125]) ).
cnf(s4146,plain,
~ spl29_38,
inference(rat,[],[s36,s4140]) ).
cnf(s4148,plain,
spl29_76,
inference(rat,[],[s88,s4143]) ).
cnf(s4154,plain,
~ spl29_54,
inference(rat,[],[s79,s4136,s4120,s4146]) ).
cnf(s4156,plain,
$false,
inference(rat,[],[s765,s4110,s4148,s4154]) ).
fof(f36328,plain,
$false,
inference(avatar_sat_refutation,[],[s4156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM690+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 21:06:30 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/2.35 % (2754207)Detected formulas, will run a generic FOF schedule.
% 10.39/2.35 % (2754216)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2983615337:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.39/2.35 % (2754216)Refutation not found, incomplete strategy
% 10.39/2.35 % (2754216)------------------------------
% 10.39/2.35 % (2754216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.35 % (2754216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.35 % (2754216)CaDiCaL version: 2.1.3
% 10.39/2.35 % (2754216)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.35 % (2754216)Time elapsed: 0.003 s
% 10.39/2.35 % (2754216)Peak memory usage: 88 MB
% 10.39/2.35 % (2754216)Instructions burned: 3 (million)
% 10.39/2.35 % (2754212)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=995984752:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.39/2.35 % (2754214)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=106690390:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.39/2.35 % (2754215)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3691051337:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.39/2.35 % (2754213)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3819850164:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.39/2.35 % (2754215)Refutation not found, incomplete strategy
% 10.39/2.35 % (2754215)------------------------------
% 10.39/2.35 % (2754215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.35 % (2754215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.35 % (2754215)CaDiCaL version: 2.1.3
% 10.39/2.35 % (2754215)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.35 % (2754215)Time elapsed: 0.003 s
% 10.39/2.35 % (2754215)Peak memory usage: 88 MB
% 10.39/2.35 % (2754215)Instructions burned: 2 (million)
% 10.39/2.35 % (2754217)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3461847145:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.39/2.35 % (2754218)dis-21_1_sil=8000:lcm=predicate:random_seed=3466324724:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.39/2.35 % (2754217)Instruction limit reached!
% 10.39/2.35 % (2754217)------------------------------
% 10.39/2.35 % (2754217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.35 % (2754217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.35 % (2754217)CaDiCaL version: 2.1.3
% 10.39/2.35 % (2754217)Termination reason: Instruction limit
% 10.39/2.35 % (2754217)Termination phase: Saturation
% 10.39/2.35 % (2754217)Time elapsed: 0.043 s
% 10.39/2.35 % (2754217)Peak memory usage: 90 MB
% 10.39/2.35 % (2754217)Instructions burned: 141 (million)
% 10.39/2.35 % (2754218)Instruction limit reached!
% 10.39/2.35 % (2754218)------------------------------
% 10.39/2.35 % (2754218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.35 % (2754218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.35 % (2754218)CaDiCaL version: 2.1.3
% 10.39/2.35 % (2754218)Termination reason: Instruction limit
% 10.39/2.35 % (2754218)Termination phase: Saturation
% 10.39/2.35 % (2754218)Time elapsed: 0.072 s
% 10.39/2.35 % (2754218)Peak memory usage: 90 MB
% 10.39/2.35 % (2754218)Instructions burned: 129 (million)
% 10.39/2.35 % (2754226)lrs+10_1_sil=8000:sp=occurrence:random_seed=4046427412:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.39/2.35 % (2754226)Refutation not found, incomplete strategy
% 10.39/2.35 % (2754226)------------------------------
% 10.39/2.35 % (2754226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.39/2.35 % (2754226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.39/2.35 % (2754226)CaDiCaL version: 2.1.3
% 10.39/2.35 % (2754226)Termination reason: Refutation not found, incomplete strategy
% 10.39/2.35 % (2754226)Time elapsed: 0.002 s
% 10.39/2.35 % (2754226)Peak memory usage: 88 MB
% 10.39/2.35 % (2754226)Instructions burned: 2 (million)
% 10.39/2.35 % (2754216)------------------------------
% 18.00/3.47 % (2754216)------------------------------
% 18.00/3.47 % (2754215)------------------------------
% 18.00/3.47 % (2754215)------------------------------
% 18.00/3.47 % (2754227)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2258878725:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.00/3.47 % (2754227)Refutation not found, incomplete strategy
% 18.00/3.47 % (2754227)------------------------------
% 18.00/3.47 % (2754227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.47 % (2754227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.47 % (2754227)CaDiCaL version: 2.1.3
% 18.00/3.47 % (2754227)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.47 % (2754227)Time elapsed: 0.005 s
% 18.00/3.47 % (2754227)Peak memory usage: 88 MB
% 18.00/3.47 % (2754227)Instructions burned: 9 (million)
% 18.00/3.47 % (2754226)------------------------------
% 18.00/3.47 % (2754226)------------------------------
% 18.00/3.47 % (2754229)lrs+1011_1_sil=32000:sp=occurrence:random_seed=693138810:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.00/3.47 % (2754229)Refutation not found, incomplete strategy
% 18.00/3.47 % (2754229)------------------------------
% 18.00/3.47 % (2754229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.47 % (2754229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.47 % (2754229)CaDiCaL version: 2.1.3
% 18.00/3.47 % (2754229)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.47 % (2754229)Time elapsed: 0.005 s
% 18.00/3.47 % (2754229)Peak memory usage: 89 MB
% 18.00/3.47 % (2754229)Instructions burned: 5 (million)
% 18.00/3.47 % (2754231)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1447390506:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.00/3.47 % (2754232)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1563493928:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.00/3.47 % (2754232)Refutation not found, incomplete strategy
% 18.00/3.47 % (2754232)------------------------------
% 18.00/3.47 % (2754232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.47 % (2754232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.47 % (2754232)CaDiCaL version: 2.1.3
% 18.00/3.47 % (2754232)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.47 % (2754232)Time elapsed: 0.003 s
% 18.00/3.47 % (2754232)Peak memory usage: 89 MB
% 18.00/3.47 % (2754232)Instructions burned: 6 (million)
% 18.00/3.47 % (2754227)------------------------------
% 18.00/3.47 % (2754227)------------------------------
% 18.00/3.47 % (2754231)Instruction limit reached!
% 18.00/3.47 % (2754231)------------------------------
% 18.00/3.47 % (2754231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.47 % (2754231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.47 % (2754231)CaDiCaL version: 2.1.3
% 18.00/3.47 % (2754231)Termination reason: Instruction limit
% 18.00/3.47 % (2754231)Termination phase: Saturation
% 18.00/3.47 % (2754231)Time elapsed: 0.125 s
% 18.00/3.47 % (2754231)Peak memory usage: 95 MB
% 18.00/3.47 % (2754231)Instructions burned: 249 (million)
% 18.00/3.47 % (2754232)------------------------------
% 18.00/3.47 % (2754232)------------------------------
% 18.00/3.47 % (2754229)------------------------------
% 18.00/3.47 % (2754229)------------------------------
% 18.00/3.47 % (2754236)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1401478880:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 18.00/3.47 % (2754237)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=969287926:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.00/3.47 % (2754238)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=616272151:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 18.00/3.47 % (2754238)Instruction limit reached!
% 18.00/3.47 % (2754238)------------------------------
% 18.00/3.47 % (2754238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.47 % (2754238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.47 % (2754238)CaDiCaL version: 2.1.3
% 18.00/3.47 % (2754238)Termination reason: Instruction limit
% 18.00/3.47 % (2754238)Termination phase: Saturation
% 18.00/3.47 % (2754238)Time elapsed: 0.033 s
% 41.58/6.76 % (2754238)Peak memory usage: 89 MB
% 41.58/6.76 % (2754238)Instructions burned: 131 (million)
% 41.58/6.76 % (2754237)Instruction limit reached!
% 41.58/6.76 % (2754237)------------------------------
% 41.58/6.76 % (2754237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.58/6.76 % (2754237)CaDiCaL version: 2.1.3
% 41.58/6.76 % (2754237)Termination reason: Instruction limit
% 41.58/6.76 % (2754237)Termination phase: Saturation
% 41.58/6.76 % (2754237)Time elapsed: 0.061 s
% 41.58/6.76 % (2754237)Peak memory usage: 91 MB
% 41.58/6.76 % (2754237)Instructions burned: 114 (million)
% 41.58/6.76 % (2754239)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=448394968:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 41.58/6.76 % (2754243)lrs+10_1_sil=8000:sp=occurrence:random_seed=209621835:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 41.58/6.76 % (2754243)Refutation not found, incomplete strategy
% 41.58/6.76 % (2754243)------------------------------
% 41.58/6.76 % (2754243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.58/6.76 % (2754243)CaDiCaL version: 2.1.3
% 41.58/6.76 % (2754243)Termination reason: Refutation not found, incomplete strategy
% 41.58/6.76 % (2754243)Time elapsed: 0.002 s
% 41.58/6.76 % (2754243)Peak memory usage: 88 MB
% 41.58/6.76 % (2754243)Instructions burned: 3 (million)
% 41.58/6.76 % (2754239)Instruction limit reached!
% 41.58/6.76 % (2754239)------------------------------
% 41.58/6.76 % (2754239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.58/6.76 % (2754239)CaDiCaL version: 2.1.3
% 41.58/6.76 % (2754239)Termination reason: Instruction limit
% 41.58/6.76 % (2754239)Termination phase: Saturation
% 41.58/6.76 % (2754239)Time elapsed: 0.065 s
% 41.58/6.76 % (2754239)Peak memory usage: 90 MB
% 41.58/6.76 % (2754239)Instructions burned: 115 (million)
% 41.58/6.76 % (2754244)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=347898490:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 41.58/6.76 % (2754244)Refutation not found, incomplete strategy
% 41.58/6.76 % (2754244)------------------------------
% 41.58/6.76 % (2754244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.58/6.76 % (2754244)CaDiCaL version: 2.1.3
% 41.58/6.76 % (2754244)Termination reason: Refutation not found, incomplete strategy
% 41.58/6.76 % (2754244)Time elapsed: 0.041 s
% 41.58/6.76 % (2754244)Peak memory usage: 90 MB
% 41.58/6.76 % (2754244)Instructions burned: 79 (million)
% 41.58/6.76 % (2754243)------------------------------
% 41.58/6.76 % (2754243)------------------------------
% 41.58/6.76 % (2754247)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=651311703:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 41.58/6.76 % (2754249)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1565140897:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 41.58/6.76 % (2754249)Instruction limit reached!
% 41.58/6.76 % (2754249)------------------------------
% 41.58/6.76 % (2754249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.58/6.76 % (2754249)CaDiCaL version: 2.1.3
% 41.58/6.76 % (2754249)Termination reason: Instruction limit
% 41.58/6.76 % (2754249)Termination phase: Saturation
% 41.58/6.76 % (2754249)Time elapsed: 0.039 s
% 41.58/6.76 % (2754249)Peak memory usage: 94 MB
% 41.58/6.76 % (2754249)Instructions burned: 137 (million)
% 41.58/6.76 % (2754244)------------------------------
% 41.58/6.76 % (2754244)------------------------------
% 41.58/6.76 % (2754252)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2877329073:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 41.58/6.76 % (2754252)Refutation not found, incomplete strategy
% 41.58/6.76 % (2754252)------------------------------
% 41.58/6.76 % (2754252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.58/6.76 % (2754252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754252)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754252)Termination reason: Refutation not found, incomplete strategy
% 36.23/6.83 % (2754252)Time elapsed: 0.009 s
% 36.23/6.83 % (2754252)Peak memory usage: 89 MB
% 36.23/6.83 % (2754252)Instructions burned: 29 (million)
% 36.23/6.83 % (2754253)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=277369500:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 36.23/6.83 % (2754252)------------------------------
% 36.23/6.83 % (2754252)------------------------------
% 36.23/6.83 % (2754256)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1765675838:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 36.23/6.83 % (2754256)Refutation not found, incomplete strategy
% 36.23/6.83 % (2754256)------------------------------
% 36.23/6.83 % (2754256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754256)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754256)Termination reason: Refutation not found, incomplete strategy
% 36.23/6.83 % (2754256)Time elapsed: 0.004 s
% 36.23/6.83 % (2754256)Peak memory usage: 89 MB
% 36.23/6.83 % (2754256)Instructions burned: 12 (million)
% 36.23/6.83 % (2754256)------------------------------
% 36.23/6.83 % (2754256)------------------------------
% 36.23/6.83 % (2754258)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1597222196:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 36.23/6.83 % (2754258)Instruction limit reached!
% 36.23/6.83 % (2754258)------------------------------
% 36.23/6.83 % (2754258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754258)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754258)Termination reason: Instruction limit
% 36.23/6.83 % (2754258)Termination phase: Saturation
% 36.23/6.83 % (2754258)Time elapsed: 0.035 s
% 36.23/6.83 % (2754258)Peak memory usage: 92 MB
% 36.23/6.83 % (2754258)Instructions burned: 135 (million)
% 36.23/6.83 % (2754260)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2504113836:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 36.23/6.83 % (2754260)Refutation not found, incomplete strategy
% 36.23/6.83 % (2754260)------------------------------
% 36.23/6.83 % (2754260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754260)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754260)Termination reason: Refutation not found, incomplete strategy
% 36.23/6.83 % (2754260)Time elapsed: 0.001 s
% 36.23/6.83 % (2754260)Peak memory usage: 89 MB
% 36.23/6.83 % (2754260)Instructions burned: 2 (million)
% 36.23/6.83 % (2754260)------------------------------
% 36.23/6.83 % (2754260)------------------------------
% 36.23/6.83 % (2754236)Instruction limit reached!
% 36.23/6.83 % (2754236)------------------------------
% 36.23/6.83 % (2754236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754236)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754236)Termination reason: Instruction limit
% 36.23/6.83 % (2754236)Termination phase: Saturation
% 36.23/6.83 % (2754236)Time elapsed: 1.576 s
% 36.23/6.83 % (2754236)Peak memory usage: 143 MB
% 36.23/6.83 % (2754236)Instructions burned: 2351 (million)
% 36.23/6.83 % (2754262)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2689714632:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 36.23/6.83 % (2754262)Refutation not found, incomplete strategy
% 36.23/6.83 % (2754262)------------------------------
% 36.23/6.83 % (2754262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754262)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754262)Termination reason: Refutation not found, incomplete strategy
% 36.23/6.83 % (2754262)Time elapsed: 0.002 s
% 36.23/6.83 % (2754262)Peak memory usage: 89 MB
% 36.23/6.83 % (2754262)Instructions burned: 2 (million)
% 36.23/6.83 % (2754263)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=626780264:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 36.23/6.83 % (2754262)------------------------------
% 36.23/6.83 % (2754262)------------------------------
% 36.23/6.83 % (2754266)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2309702820:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2973 on theBenchmark for (2973ds/150Mi)
% 36.23/6.83 % (2754266)Instruction limit reached!
% 36.23/6.83 % (2754266)------------------------------
% 36.23/6.83 % (2754266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754266)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754266)Termination reason: Instruction limit
% 36.23/6.83 % (2754266)Termination phase: Saturation
% 36.23/6.83 % (2754266)Time elapsed: 0.044 s
% 36.23/6.83 % (2754266)Peak memory usage: 91 MB
% 36.23/6.83 % (2754266)Instructions burned: 150 (million)
% 36.23/6.83 % (2754268)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=436119142:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 36.23/6.83 % (2754247)Instruction limit reached!
% 36.23/6.83 % (2754247)------------------------------
% 36.23/6.83 % (2754247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754247)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754247)Termination reason: Instruction limit
% 36.23/6.83 % (2754247)Termination phase: Saturation
% 36.23/6.83 % (2754247)Time elapsed: 3.370 s
% 36.23/6.83 % (2754247)Peak memory usage: 160 MB
% 36.23/6.83 % (2754247)Instructions burned: 5203 (million)
% 36.23/6.83 % (2754270)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1467699871:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 36.23/6.83 % (2754270)Instruction limit reached!
% 36.23/6.83 % (2754270)------------------------------
% 36.23/6.83 % (2754270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754270)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754270)Termination reason: Instruction limit
% 36.23/6.83 % (2754270)Termination phase: Saturation
% 36.23/6.83 % (2754270)Time elapsed: 0.321 s
% 36.23/6.83 % (2754270)Peak memory usage: 100 MB
% 36.23/6.83 % (2754270)Instructions burned: 668 (million)
% 36.23/6.83 % (2754272)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3887785599:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 36.23/6.83 % (2754272)Instruction limit reached!
% 36.23/6.83 % (2754272)------------------------------
% 36.23/6.83 % (2754272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754272)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754272)Termination reason: Instruction limit
% 36.23/6.83 % (2754272)Termination phase: Saturation
% 36.23/6.83 % (2754272)Time elapsed: 0.080 s
% 36.23/6.83 % (2754272)Peak memory usage: 91 MB
% 36.23/6.83 % (2754272)Instructions burned: 185 (million)
% 36.23/6.83 % (2754274)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=751548468:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 36.23/6.83 % (2754274)Refutation not found, incomplete strategy
% 36.23/6.83 % (2754274)------------------------------
% 36.23/6.83 % (2754274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.23/6.83 % (2754274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.23/6.83 % (2754274)CaDiCaL version: 2.1.3
% 36.23/6.83 % (2754274)Termination reason: Refutation not found, incomplete strategy
% 36.23/6.83 % (2754274)Time elapsed: 0.005 s
% 36.23/6.83 % (2754274)Peak memory usage: 89 MB
% 36.23/6.83 % (2754274)Instructions burned: 5 (million)
% 36.23/6.83 % (2754214)First to succeed.
% 36.23/6.83 % (2754214)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2754207"
% 36.23/6.83 % (2754274)------------------------------
% 36.23/6.83 % (2754274)------------------------------
% 36.23/6.83 % (2754276)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1152983322:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2942 on theBenchmark for (2942ds/4850Mi)
% 36.23/6.83 % (2754214)Refutation found. Thanks to Tanya!
% 36.23/6.83 % SZS status Theorem for theBenchmark
% 36.23/6.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/7.03 % (2754214)------------------------------
% 0.17/7.03 % (2754214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/7.03 % (2754214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/7.03 % (2754214)CaDiCaL version: 2.1.3
% 0.17/7.03 % (2754214)Termination reason: Refutation
% 0.17/7.03 % (2754214)Time elapsed: 5.497 s
% 0.17/7.03 % (2754214)Peak memory usage: 191 MB
% 0.17/7.03 % (2754214)Instructions burned: 9151 (million)
% 0.17/7.03 % (2754214)------------------------------
% 0.17/7.03 % (2754214)------------------------------
% 0.17/7.03 % (2754207)Success in time 5.981 s
% 0.17/7.03 % Vampire exiting
%------------------------------------------------------------------------------