%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM676+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 : n003.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 12:16:24 PM UTC 2026
% Result : Theorem 26.95s 4.80s
% Output : Refutation 28.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 46
% Syntax : Number of formulae : 261 ( 46 unt; 30 def)
% Number of atoms : 625 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 638 ( 274 ~; 286 |; 27 &)
% ( 45 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 31 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 13 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 155 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(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(scratc109987509_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f35,axiom,
! [X0] : scratc488214324d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc487755138d_n_is = scratc969094777d_e_is(scratc1022332875nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc969094777d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc263961911_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz19f) ).
fof(f326,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0))
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__59) ).
fof(f327,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__60) ).
fof(f386,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__119) ).
fof(f387,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__120) ).
fof(f414,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__147) ).
fof(f431,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc990204258all_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__164) ).
fof(f445,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(scratc487755138d_n_is,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__178) ).
fof(f471,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f475,conjecture,
pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f476,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f475]) ).
fof(f477,plain,
~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f476]) ).
fof(f494,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc263961911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f495,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc263961911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f494]) ).
fof(f589,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f414]) ).
fof(f601,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f445]) ).
fof(f602,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1)) ) ),
inference(flattening,[],[f601]) ).
fof(f613,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f471]) ).
fof(f614,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f613]) ).
fof(f618,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f619,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f682,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc263961911_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc263961911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f495]) ).
fof(f683,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc263961911_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc263961911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1)) ) ),
inference(rectify,[],[f682]) ).
fof(f684,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc263961911_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc263961911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f683]) ).
fof(f762,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,X0))) )
& ( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ) ),
inference(nnf_transformation,[],[f326]) ).
fof(f763,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f327]) ).
fof(f837,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,X0),X1)) ) ),
inference(nnf_transformation,[],[f386]) ).
fof(f838,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc990204258all_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,[],[f387]) ).
fof(f876,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f589]) ).
fof(f877,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2)) ) ),
inference(flattening,[],[f876]) ).
fof(f898,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc990204258all_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,[],[f431]) ).
fof(f915,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f602]) ).
fof(f916,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f915]) ).
fof(f962,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f963,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f618]) ).
fof(f964,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f619]) ).
fof(f965,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f619]) ).
fof(f976,plain,
! [X0] : scratc488214324d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1002,plain,
scratc487755138d_n_is = scratc969094777d_e_is(scratc1022332875nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1066,plain,
! [X0] : scratc969094777d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1150,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc263961911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1)) ),
inference(cnf_transformation,[],[f684]) ).
fof(f1151,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f684]) ).
fof(f1152,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| scratc263961911_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f684]) ).
fof(f1153,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f684]) ).
fof(f1156,plain,
pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(cnf_transformation,[],[f149]) ).
fof(f1421,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ),
inference(cnf_transformation,[],[f762]) ).
fof(f1424,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f763]) ).
fof(f1554,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,X0),X1)) ),
inference(cnf_transformation,[],[f837]) ).
fof(f1557,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f838]) ).
fof(f1625,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2)) ),
inference(cnf_transformation,[],[f877]) ).
fof(f1667,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f898]) ).
fof(f1701,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(scratc487755138d_n_is,X0),X1)) ),
inference(cnf_transformation,[],[f916]) ).
fof(f1702,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(scratc109987509_29_ii,X2),X3)) ),
inference(cnf_transformation,[],[f916]) ).
fof(f1703,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc488214324d_n_pl(X1),X3))) ),
inference(cnf_transformation,[],[f916]) ).
fof(f1747,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f614]) ).
fof(f1751,plain,
~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f477]) ).
fof(f1776,plain,
scratc487755138d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1002,f1066]) ).
fof(f1867,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X2)),X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X2)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1625,f976,f976]) ).
fof(f1892,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(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,X1)),X3))) ),
inference(definition_unfolding,[],[f1703,f976,f976]) ).
fof(f1925,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1927,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_ad))
| spl29_1 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f1928,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1751,f1925]) ).
fof(f1929,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| spl29_1 ),
inference(resolution,[],[f1927,f1151]) ).
fof(f1930,plain,
( scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1927,f1152]) ).
fof(f1931,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_1 ),
inference(resolution,[],[f1927,f1153]) ).
fof(f1944,definition,
( spl29_2
<=> scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1946,plain,
( scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f1947,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1930,f1925,f1944]) ).
fof(f1949,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(f1951,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_3 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1952,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f1931,f1925,f1949]) ).
fof(f1953,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_3 ),
inference(resolution,[],[f1951,f1424]) ).
fof(f2489,definition,
( spl29_5
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2491,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2489]) ).
fof(f2492,plain,
( spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f1929,f1925,f2489]) ).
fof(f2494,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc990204258all_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(f2496,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2494]) ).
fof(f2497,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f1953,f1949,f2494]) ).
fof(f2499,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,[],[f2496,f1151]) ).
fof(f2501,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,[],[f2496,f1153]) ).
fof(f2519,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(f2521,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,[],[f2519]) ).
fof(f2522,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2501,f2494,f2519]) ).
fof(f2523,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_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,[],[f2521,f1557]) ).
fof(f2569,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc990204258all_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(f2571,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_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,[],[f2569]) ).
fof(f2572,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2523,f2519,f2569]) ).
fof(f2574,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,[],[f2571,f1151]) ).
fof(f2575,plain,
( scratc263961911_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,[],[f2571,f1152]) ).
fof(f2576,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,[],[f2571,f1153]) ).
fof(f2589,definition,
( spl29_10
<=> scratc263961911_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(f2591,plain,
( scratc263961911_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,[],[f2589]) ).
fof(f2592,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2575,f2569,f2589]) ).
fof(f2594,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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f2591,f1150]) ).
fof(f2595,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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f2594,f2574]) ).
fof(f3095,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(scratc990204258all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3096,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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3095]) ).
fof(f3097,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f2595,f2589,f2569,f3095]) ).
fof(f3099,definition,
( spl29_13
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f3101,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f3099]) ).
fof(f3102,plain,
( spl29_13
| spl29_6 ),
inference(avatar_split_clause,[],[f2499,f2494,f3099]) ).
fof(f3176,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ad) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_5 ),
inference(resolution,[],[f2491,f1747]) ).
fof(f3196,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ad) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_5 ),
inference(forward_demodulation,[],[f3176,f1776]) ).
fof(f3286,definition,
( spl29_15
<=> 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_15])],[avatar_definition]) ).
fof(f3288,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_15 ),
inference(avatar_component_clause,[],[f3286]) ).
fof(f3289,plain,
( ~ spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f2576,f2569,f3286]) ).
fof(f3290,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_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_15 ),
inference(resolution,[],[f3288,f1667]) ).
fof(f3336,definition,
( spl29_16
<=> pp(aa_fun171081125l_bool(scratc990204258all_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_16])],[avatar_definition]) ).
fof(f3338,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_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(avatar_component_clause,[],[f3336]) ).
fof(f3339,plain,
( ~ spl29_16
| spl29_15 ),
inference(avatar_split_clause,[],[f3290,f3286,f3336]) ).
fof(f3341,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_16 ),
inference(resolution,[],[f3338,f1151]) ).
fof(f3342,plain,
( scratc263961911_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_16 ),
inference(resolution,[],[f3338,f1152]) ).
fof(f3343,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_16 ),
inference(resolution,[],[f3338,f1153]) ).
fof(f3356,definition,
( spl29_17
<=> scratc263961911_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_17])],[avatar_definition]) ).
fof(f3358,plain,
( scratc263961911_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(avatar_component_clause,[],[f3356]) ).
fof(f3359,plain,
( spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f3342,f3336,f3356]) ).
fof(f3361,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,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)))))))))
| ~ 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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_17 ),
inference(resolution,[],[f3358,f1150]) ).
fof(f3362,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| spl29_16
| ~ spl29_17 ),
inference(forward_subsumption_resolution,[],[f3361,f3341]) ).
fof(f3368,definition,
( spl29_19
<=> 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_19])],[avatar_definition]) ).
fof(f3370,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_19 ),
inference(avatar_component_clause,[],[f3368]) ).
fof(f3371,plain,
( ~ spl29_19
| spl29_16 ),
inference(avatar_split_clause,[],[f3343,f3336,f3368]) ).
fof(f3372,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,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_19 ),
inference(resolution,[],[f3370,f1701]) ).
fof(f3373,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,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_19 ),
inference(resolution,[],[f3370,f1702]) ).
fof(f3374,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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_19 ),
inference(resolution,[],[f3370,f1892]) ).
fof(f3420,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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_20])],[avatar_definition]) ).
fof(f3422,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(avatar_component_clause,[],[f3420]) ).
fof(f3423,plain,
( ~ spl29_20
| spl29_19 ),
inference(avatar_split_clause,[],[f3374,f3368,f3420]) ).
fof(f3425,plain,
( ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,[],[f3422,f965]) ).
fof(f3482,definition,
( spl29_21
<=> pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(f3484,plain,
( ~ pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,[],[f3482]) ).
fof(f3485,plain,
( ~ spl29_21
| spl29_20 ),
inference(avatar_split_clause,[],[f3425,f3420,f3482]) ).
fof(f3487,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,[],[f3484,f962]) ).
fof(f3500,definition,
( spl29_22
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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_22])],[avatar_definition]) ).
fof(f3502,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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_22 ),
inference(avatar_component_clause,[],[f3500]) ).
fof(f3503,plain,
( ~ spl29_22
| spl29_21 ),
inference(avatar_split_clause,[],[f3487,f3482,f3500]) ).
fof(f3564,definition,
( spl29_23
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,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_23])],[avatar_definition]) ).
fof(f3566,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc109987509_29_ii,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_23 ),
inference(avatar_component_clause,[],[f3564]) ).
fof(f3567,plain,
( spl29_23
| spl29_19 ),
inference(avatar_split_clause,[],[f3373,f3368,f3564]) ).
fof(f3568,plain,
( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(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_23 ),
inference(resolution,[],[f3566,f964]) ).
fof(f3613,definition,
( spl29_24
<=> pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(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_24])],[avatar_definition]) ).
fof(f3615,plain,
( pp(aa_fun171081125l_bool(scratc844689708n_some,aa_TPT43085870d_bool(scratc759738430ffprop(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_24 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f3616,plain,
( spl29_24
| ~ spl29_23 ),
inference(avatar_split_clause,[],[f3568,f3564,f3613]) ).
fof(f3618,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,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_24 ),
inference(resolution,[],[f3615,f963]) ).
fof(f3697,definition,
( spl29_29
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,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_29])],[avatar_definition]) ).
fof(f3699,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,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_29 ),
inference(avatar_component_clause,[],[f3697]) ).
fof(f3700,plain,
( spl29_29
| spl29_19 ),
inference(avatar_split_clause,[],[f3372,f3368,f3697]) ).
fof(f3743,definition,
( spl29_31
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,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_31])],[avatar_definition]) ).
fof(f3745,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,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_31 ),
inference(avatar_component_clause,[],[f3743]) ).
fof(f3795,plain,
( spl29_31
| ~ spl29_24 ),
inference(avatar_split_clause,[],[f3618,f3613,f3743]) ).
fof(f4605,definition,
( spl29_36
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,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(scratc990204258all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_36])],[avatar_definition]) ).
fof(f4606,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,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(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_36 ),
inference(avatar_component_clause,[],[f4605]) ).
fof(f4607,plain,
( spl29_36
| spl29_16
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f3362,f3356,f3336,f4605]) ).
fof(f5477,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aTP_Lamm_bu))
| pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,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_36 ),
inference(resolution,[],[f4606,f1421]) ).
fof(f5604,plain,
( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,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_36 ),
inference(forward_subsumption_resolution,[],[f5477,f1156]) ).
fof(f5865,definition,
( spl29_70
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ad) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_70])],[avatar_definition]) ).
fof(f5866,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc487755138d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ad) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_70 ),
inference(avatar_component_clause,[],[f5865]) ).
fof(f5867,plain,
( spl29_70
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3196,f2489,f5865]) ).
fof(f6480,plain,
( 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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_29
| ~ spl29_70 ),
inference(resolution,[],[f5866,f3699]) ).
fof(f6542,plain,
( 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_13
| ~ spl29_29
| ~ spl29_70 ),
inference(forward_subsumption_resolution,[],[f6480,f3101]) ).
fof(f6549,definition,
( spl29_105
<=> 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_105])],[avatar_definition]) ).
fof(f6551,plain,
( 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_105 ),
inference(avatar_component_clause,[],[f6549]) ).
fof(f6552,plain,
( spl29_105
| ~ spl29_13
| ~ spl29_29
| ~ spl29_70 ),
inference(avatar_split_clause,[],[f6542,f5865,f3697,f3099,f6549]) ).
fof(f6558,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,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12
| ~ spl29_105 ),
inference(superposition,[],[f3096,f6551]) ).
fof(f6568,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,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,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,aTP_Lamm_ad))))))
| spl29_22
| ~ spl29_105 ),
inference(superposition,[],[f3502,f6551]) ).
fof(f6577,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_31
| ~ spl29_105 ),
inference(superposition,[],[f3745,f6551]) ).
fof(f8238,definition,
( spl29_201
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,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,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_201])],[avatar_definition]) ).
fof(f8240,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_plus,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,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc787949509bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1899540400d_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,aTP_Lamm_ad))))))
| spl29_201 ),
inference(avatar_component_clause,[],[f8238]) ).
fof(f8241,plain,
( ~ spl29_201
| spl29_22
| ~ spl29_105 ),
inference(avatar_split_clause,[],[f6568,f6549,f3500,f8238]) ).
fof(f8520,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc981550131nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_201 ),
inference(resolution,[],[f8240,f1867]) ).
fof(f8579,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl29_31
| ~ spl29_105
| spl29_201 ),
inference(forward_subsumption_resolution,[],[f8520,f6577]) ).
fof(f8581,definition,
( spl29_225
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_225])],[avatar_definition]) ).
fof(f8583,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_225 ),
inference(avatar_component_clause,[],[f8581]) ).
fof(f8584,plain,
( ~ spl29_225
| ~ spl29_31
| ~ spl29_105
| spl29_201 ),
inference(avatar_split_clause,[],[f8579,f8238,f6549,f3743,f8581]) ).
fof(f8597,plain,
( ! [X0] :
( ~ scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) )
| spl29_225 ),
inference(resolution,[],[f8583,f1150]) ).
fof(f8631,plain,
( ! [X0] :
( ~ scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) )
| ~ spl29_5
| spl29_225 ),
inference(forward_subsumption_resolution,[],[f8597,f2491]) ).
fof(f8843,definition,
( spl29_245
<=> ! [X0] :
( ~ scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_245])],[avatar_definition]) ).
fof(f8844,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_bs(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0) )
| ~ spl29_245 ),
inference(avatar_component_clause,[],[f8843]) ).
fof(f8845,plain,
( spl29_245
| ~ spl29_5
| spl29_225 ),
inference(avatar_split_clause,[],[f8631,f8581,f2489,f8843]) ).
fof(f8846,plain,
( ~ scratc263961911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_245 ),
inference(resolution,[],[f8844,f1554]) ).
fof(f8862,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_2
| ~ spl29_245 ),
inference(forward_subsumption_resolution,[],[f8846,f1946]) ).
fof(f8864,definition,
( spl29_246
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_246])],[avatar_definition]) ).
fof(f8866,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_246 ),
inference(avatar_component_clause,[],[f8864]) ).
fof(f8867,plain,
( ~ spl29_246
| ~ spl29_2
| ~ spl29_245 ),
inference(avatar_split_clause,[],[f8862,f8843,f1944,f8864]) ).
fof(f13157,definition,
( spl29_355
<=> pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,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_355])],[avatar_definition]) ).
fof(f13159,plain,
( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,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_355 ),
inference(avatar_component_clause,[],[f13157]) ).
fof(f13160,plain,
( spl29_355
| ~ spl29_36 ),
inference(avatar_split_clause,[],[f5604,f4605,f13157]) ).
fof(f13161,plain,
( pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad))))))))
| ~ spl29_105
| ~ spl29_355 ),
inference(forward_demodulation,[],[f13159,f6551]) ).
fof(f14930,definition,
( spl29_441
<=> ! [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,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_441])],[avatar_definition]) ).
fof(f14931,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,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),X0)) )
| ~ spl29_441 ),
inference(avatar_component_clause,[],[f14930]) ).
fof(f14932,plain,
( spl29_441
| ~ spl29_12
| ~ spl29_105 ),
inference(avatar_split_clause,[],[f6558,f6549,f3095,f14930]) ).
fof(f15163,plain,
( ~ pp(aa_fun171081125l_bool(scratc990204258all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bt,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),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,aTP_Lamm_ad))))))))
| spl29_246
| ~ spl29_441 ),
inference(resolution,[],[f14931,f8866]) ).
fof(f15330,plain,
( $false
| ~ spl29_105
| spl29_246
| ~ spl29_355
| ~ spl29_441 ),
inference(forward_subsumption_resolution,[],[f15163,f13161]) ).
fof(f15331,plain,
( ~ spl29_105
| spl29_246
| ~ spl29_355
| ~ spl29_441 ),
inference(avatar_contradiction_clause,[],[f15330]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1928]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1947]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s5,plain,
( spl29_1
| spl29_5 ),
inference(sat_conversion,[],[f2492]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2497]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2522]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2572]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2592]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f3097]) ).
cnf(s13,plain,
( spl29_6
| spl29_13 ),
inference(sat_conversion,[],[f3102]) ).
cnf(s15,plain,
( spl29_9
| ~ spl29_15 ),
inference(sat_conversion,[],[f3289]) ).
cnf(s16,plain,
( spl29_15
| ~ spl29_16 ),
inference(sat_conversion,[],[f3339]) ).
cnf(s17,plain,
( spl29_16
| spl29_17 ),
inference(sat_conversion,[],[f3359]) ).
cnf(s19,plain,
( spl29_16
| ~ spl29_19 ),
inference(sat_conversion,[],[f3371]) ).
cnf(s20,plain,
( spl29_19
| ~ spl29_20 ),
inference(sat_conversion,[],[f3423]) ).
cnf(s21,plain,
( spl29_20
| ~ spl29_21 ),
inference(sat_conversion,[],[f3485]) ).
cnf(s22,plain,
( spl29_21
| ~ spl29_22 ),
inference(sat_conversion,[],[f3503]) ).
cnf(s23,plain,
( spl29_19
| spl29_23 ),
inference(sat_conversion,[],[f3567]) ).
cnf(s24,plain,
( ~ spl29_23
| spl29_24 ),
inference(sat_conversion,[],[f3616]) ).
cnf(s28,plain,
( spl29_19
| spl29_29 ),
inference(sat_conversion,[],[f3700]) ).
cnf(s31,plain,
( ~ spl29_24
| spl29_31 ),
inference(sat_conversion,[],[f3795]) ).
cnf(s35,plain,
( spl29_16
| ~ spl29_17
| spl29_36 ),
inference(sat_conversion,[],[f4607]) ).
cnf(s72,plain,
( ~ spl29_5
| spl29_70 ),
inference(sat_conversion,[],[f5867]) ).
cnf(s107,plain,
( ~ spl29_13
| ~ spl29_29
| ~ spl29_70
| spl29_105 ),
inference(sat_conversion,[],[f6552]) ).
cnf(s204,plain,
( spl29_22
| ~ spl29_105
| ~ spl29_201 ),
inference(sat_conversion,[],[f8241]) ).
cnf(s228,plain,
( ~ spl29_31
| ~ spl29_105
| spl29_201
| ~ spl29_225 ),
inference(sat_conversion,[],[f8584]) ).
cnf(s248,plain,
( ~ spl29_5
| spl29_225
| spl29_245 ),
inference(sat_conversion,[],[f8845]) ).
cnf(s249,plain,
( ~ spl29_2
| ~ spl29_245
| ~ spl29_246 ),
inference(sat_conversion,[],[f8867]) ).
cnf(s370,plain,
( ~ spl29_36
| spl29_355 ),
inference(sat_conversion,[],[f13160]) ).
cnf(s456,plain,
( ~ spl29_12
| ~ spl29_105
| spl29_441 ),
inference(sat_conversion,[],[f14932]) ).
cnf(s457,plain,
( ~ spl29_105
| spl29_246
| ~ spl29_355
| ~ spl29_441 ),
inference(sat_conversion,[],[f15331]) ).
cnf(s459,plain,
spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s460,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s461,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s465,plain,
spl29_70,
inference(rat,[],[s72,s459]) ).
cnf(s473,plain,
~ spl29_6,
inference(rat,[],[s6,s460]) ).
cnf(s480,plain,
spl29_13,
inference(rat,[],[s13,s473]) ).
cnf(s481,plain,
~ spl29_8,
inference(rat,[],[s8,s473]) ).
cnf(s539,plain,
~ spl29_9,
inference(rat,[],[s9,s481]) ).
cnf(s615,plain,
~ spl29_15,
inference(rat,[],[s15,s539]) ).
cnf(s616,plain,
spl29_10,
inference(rat,[],[s10,s539]) ).
cnf(s681,plain,
~ spl29_16,
inference(rat,[],[s16,s615]) ).
cnf(s682,plain,
spl29_12,
inference(rat,[],[s12,s539,s616]) ).
cnf(s690,plain,
~ spl29_19,
inference(rat,[],[s19,s681]) ).
cnf(s691,plain,
spl29_17,
inference(rat,[],[s17,s681]) ).
cnf(s746,plain,
spl29_29,
inference(rat,[],[s28,s690]) ).
cnf(s747,plain,
spl29_23,
inference(rat,[],[s23,s690]) ).
cnf(s748,plain,
~ spl29_20,
inference(rat,[],[s20,s690]) ).
cnf(s749,plain,
spl29_36,
inference(rat,[],[s35,s681,s691]) ).
cnf(s751,plain,
spl29_105,
inference(rat,[],[s107,s480,s465,s746]) ).
cnf(s755,plain,
spl29_24,
inference(rat,[],[s24,s747]) ).
cnf(s761,plain,
~ spl29_21,
inference(rat,[],[s21,s748]) ).
cnf(s779,plain,
spl29_355,
inference(rat,[],[s370,s749]) ).
cnf(s812,plain,
spl29_441,
inference(rat,[],[s456,s682,s751]) ).
cnf(s842,plain,
spl29_31,
inference(rat,[],[s31,s755]) ).
cnf(s846,plain,
~ spl29_22,
inference(rat,[],[s22,s761]) ).
cnf(s847,plain,
spl29_246,
inference(rat,[],[s457,s751,s779,s812]) ).
cnf(s853,plain,
~ spl29_201,
inference(rat,[],[s204,s751,s846]) ).
cnf(s856,plain,
~ spl29_245,
inference(rat,[],[s249,s461,s847]) ).
cnf(s861,plain,
~ spl29_225,
inference(rat,[],[s228,s842,s751,s853]) ).
cnf(s863,plain,
$false,
inference(rat,[],[s248,s459,s856,s861]) ).
fof(f15384,plain,
$false,
inference(avatar_sat_refutation,[],[s863]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM676+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:04:41 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 11.28/2.56 % (917130)Detected formulas, will run a generic FOF schedule.
% 11.28/2.56 % (917136)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=3017460457:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.28/2.56 % (917137)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=2033852154:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.28/2.56 % (917141)dis-21_1_sil=8000:lcm=predicate:random_seed=231237493: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)
% 11.28/2.56 % (917139)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2993086563:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.28/2.56 % (917138)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1710688018:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.28/2.56 % (917135)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=3559826643:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.28/2.56 % (917140)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1858529642:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.28/2.56 % (917138)Refutation not found, incomplete strategy
% 11.28/2.56 % (917138)------------------------------
% 11.28/2.56 % (917138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.56 % (917138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.56 % (917138)CaDiCaL version: 2.1.3
% 11.28/2.56 % (917138)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.56 % (917138)Time elapsed: 0.002 s
% 11.28/2.56 % (917138)Peak memory usage: 88 MB
% 11.28/2.56 % (917138)Instructions burned: 2 (million)
% 11.28/2.56 % (917139)Refutation not found, incomplete strategy
% 11.28/2.56 % (917139)------------------------------
% 11.28/2.56 % (917139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.56 % (917139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.56 % (917139)CaDiCaL version: 2.1.3
% 11.28/2.56 % (917139)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.56 % (917139)Time elapsed: 0.003 s
% 11.28/2.56 % (917139)Peak memory usage: 88 MB
% 11.28/2.56 % (917139)Instructions burned: 3 (million)
% 11.28/2.56 % (917141)Instruction limit reached!
% 11.28/2.56 % (917141)------------------------------
% 11.28/2.56 % (917141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.56 % (917141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.56 % (917141)CaDiCaL version: 2.1.3
% 11.28/2.56 % (917141)Termination reason: Instruction limit
% 11.28/2.56 % (917141)Termination phase: Saturation
% 11.28/2.56 % (917141)Time elapsed: 0.074 s
% 11.28/2.56 % (917141)Peak memory usage: 90 MB
% 11.28/2.56 % (917141)Instructions burned: 129 (million)
% 11.28/2.56 % (917140)Instruction limit reached!
% 11.28/2.56 % (917140)------------------------------
% 11.28/2.56 % (917140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.56 % (917140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.56 % (917140)CaDiCaL version: 2.1.3
% 11.28/2.56 % (917140)Termination reason: Instruction limit
% 11.28/2.56 % (917140)Termination phase: Saturation
% 11.28/2.56 % (917140)Time elapsed: 0.084 s
% 11.28/2.56 % (917140)Peak memory usage: 90 MB
% 11.28/2.56 % (917140)Instructions burned: 140 (million)
% 11.28/2.56 % (917138)------------------------------
% 11.28/2.56 % (917138)------------------------------
% 11.28/2.56 % (917150)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1846408273:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.28/2.56 % (917149)lrs+10_1_sil=8000:sp=occurrence:random_seed=3883367118:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.28/2.56 % (917139)------------------------------
% 11.28/2.56 % (917139)------------------------------
% 11.28/2.56 % (917149)Refutation not found, incomplete strategy
% 11.28/2.56 % (917149)------------------------------
% 11.28/2.56 % (917149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.56 % (917149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917149)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917149)Termination reason: Refutation not found, incomplete strategy
% 21.64/4.00 % (917149)Time elapsed: 0.003 s
% 21.64/4.00 % (917149)Peak memory usage: 88 MB
% 21.64/4.00 % (917149)Instructions burned: 2 (million)
% 21.64/4.00 % (917150)Refutation not found, incomplete strategy
% 21.64/4.00 % (917150)------------------------------
% 21.64/4.00 % (917150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.00 % (917150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917150)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917150)Termination reason: Refutation not found, incomplete strategy
% 21.64/4.00 % (917150)Time elapsed: 0.004 s
% 21.64/4.00 % (917150)Peak memory usage: 88 MB
% 21.64/4.00 % (917150)Instructions burned: 7 (million)
% 21.64/4.00 % (917153)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1609948902:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 21.64/4.00 % (917154)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=1682508720:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 21.64/4.00 % (917153)Refutation not found, incomplete strategy
% 21.64/4.00 % (917153)------------------------------
% 21.64/4.00 % (917153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.00 % (917153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917153)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917153)Termination reason: Refutation not found, incomplete strategy
% 21.64/4.00 % (917153)Time elapsed: 0.005 s
% 21.64/4.00 % (917153)Peak memory usage: 89 MB
% 21.64/4.00 % (917153)Instructions burned: 5 (million)
% 21.64/4.00 % (917150)------------------------------
% 21.64/4.00 % (917150)------------------------------
% 21.64/4.00 % (917149)------------------------------
% 21.64/4.00 % (917149)------------------------------
% 21.64/4.00 % (917154)Instruction limit reached!
% 21.64/4.00 % (917154)------------------------------
% 21.64/4.00 % (917154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.00 % (917154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917154)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917154)Termination reason: Instruction limit
% 21.64/4.00 % (917154)Termination phase: Saturation
% 21.64/4.00 % (917154)Time elapsed: 0.126 s
% 21.64/4.00 % (917154)Peak memory usage: 93 MB
% 21.64/4.00 % (917154)Instructions burned: 249 (million)
% 21.64/4.00 % (917157)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=235756137:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 21.64/4.00 % (917158)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2781230418:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.64/4.00 % (917157)Refutation not found, incomplete strategy
% 21.64/4.00 % (917157)------------------------------
% 21.64/4.00 % (917157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.00 % (917157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917157)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917157)Termination reason: Refutation not found, incomplete strategy
% 21.64/4.00 % (917157)Time elapsed: 0.005 s
% 21.64/4.00 % (917157)Peak memory usage: 88 MB
% 21.64/4.00 % (917157)Instructions burned: 6 (million)
% 21.64/4.00 % (917153)------------------------------
% 21.64/4.00 % (917153)------------------------------
% 21.64/4.00 % (917159)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=746388204:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 21.64/4.00 % (917159)Instruction limit reached!
% 21.64/4.00 % (917159)------------------------------
% 21.64/4.00 % (917159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.64/4.00 % (917159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.64/4.00 % (917159)CaDiCaL version: 2.1.3
% 21.64/4.00 % (917159)Termination reason: Instruction limit
% 21.64/4.00 % (917159)Termination phase: Saturation
% 21.64/4.00 % (917159)Time elapsed: 0.062 s
% 21.64/4.00 % (917159)Peak memory usage: 91 MB
% 21.64/4.00 % (917159)Instructions burned: 114 (million)
% 21.64/4.00 % (917162)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=463727986:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 21.64/4.00 % (917162)Instruction limit reached!
% 21.64/4.00 % (917162)------------------------------
% 21.64/4.00 % (917162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917162)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917162)Termination reason: Instruction limit
% 26.95/4.79 % (917162)Termination phase: Saturation
% 26.95/4.79 % (917162)Time elapsed: 0.060 s
% 26.95/4.79 % (917162)Peak memory usage: 89 MB
% 26.95/4.79 % (917162)Instructions burned: 127 (million)
% 26.95/4.79 % (917157)------------------------------
% 26.95/4.79 % (917157)------------------------------
% 26.95/4.79 % (917164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3798082193:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 26.95/4.79 % (917164)Instruction limit reached!
% 26.95/4.79 % (917164)------------------------------
% 26.95/4.79 % (917164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917164)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917164)Termination reason: Instruction limit
% 26.95/4.79 % (917164)Termination phase: Saturation
% 26.95/4.79 % (917164)Time elapsed: 0.061 s
% 26.95/4.79 % (917164)Peak memory usage: 89 MB
% 26.95/4.79 % (917164)Instructions burned: 114 (million)
% 26.95/4.79 % (917166)lrs+10_1_sil=8000:sp=occurrence:random_seed=3952610657:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 26.95/4.79 % (917167)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2318047754:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 26.95/4.79 % (917166)Refutation not found, incomplete strategy
% 26.95/4.79 % (917166)------------------------------
% 26.95/4.79 % (917166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917166)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917166)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.79 % (917166)Time elapsed: 0.003 s
% 26.95/4.79 % (917166)Peak memory usage: 88 MB
% 26.95/4.79 % (917166)Instructions burned: 2 (million)
% 26.95/4.79 % (917167)Refutation not found, incomplete strategy
% 26.95/4.79 % (917167)------------------------------
% 26.95/4.79 % (917167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917167)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917167)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.79 % (917167)Time elapsed: 0.033 s
% 26.95/4.79 % (917167)Peak memory usage: 90 MB
% 26.95/4.79 % (917167)Instructions burned: 64 (million)
% 26.95/4.79 % (917169)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1958708474:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 26.95/4.79 % (917166)------------------------------
% 26.95/4.79 % (917166)------------------------------
% 26.95/4.79 % (917167)------------------------------
% 26.95/4.79 % (917167)------------------------------
% 26.95/4.79 % (917173)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=970223560:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 26.95/4.79 % (917174)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=225362556:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 26.95/4.79 % (917174)Refutation not found, incomplete strategy
% 26.95/4.79 % (917174)------------------------------
% 26.95/4.79 % (917174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917174)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917174)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.79 % (917174)Time elapsed: 0.016 s
% 26.95/4.79 % (917174)Peak memory usage: 89 MB
% 26.95/4.79 % (917174)Instructions burned: 30 (million)
% 26.95/4.79 % (917173)Instruction limit reached!
% 26.95/4.79 % (917173)------------------------------
% 26.95/4.79 % (917173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917173)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917173)Termination reason: Instruction limit
% 26.95/4.79 % (917173)Termination phase: Saturation
% 26.95/4.79 % (917173)Time elapsed: 0.073 s
% 26.95/4.79 % (917173)Peak memory usage: 93 MB
% 26.95/4.79 % (917173)Instructions burned: 135 (million)
% 26.95/4.79 % (917177)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2689302205:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 26.95/4.79 % (917174)------------------------------
% 26.95/4.79 % (917174)------------------------------
% 26.95/4.79 % (917179)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=360109008:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 26.95/4.79 % (917179)Refutation not found, incomplete strategy
% 26.95/4.79 % (917179)------------------------------
% 26.95/4.79 % (917179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917179)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917179)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.79 % (917179)Time elapsed: 0.006 s
% 26.95/4.79 % (917179)Peak memory usage: 88 MB
% 26.95/4.79 % (917179)Instructions burned: 10 (million)
% 26.95/4.79 % (917179)------------------------------
% 26.95/4.79 % (917179)------------------------------
% 26.95/4.79 % (917158)Instruction limit reached!
% 26.95/4.79 % (917158)------------------------------
% 26.95/4.79 % (917158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.79 % (917158)CaDiCaL version: 2.1.3
% 26.95/4.79 % (917158)Termination reason: Instruction limit
% 26.95/4.79 % (917158)Termination phase: Saturation
% 26.95/4.79 % (917158)Time elapsed: 1.585 s
% 26.95/4.79 % (917158)Peak memory usage: 142 MB
% 26.95/4.79 % (917158)Instructions burned: 2350 (million)
% 26.95/4.79 % (917181)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=487130795:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 26.95/4.79 % (917181)Instruction limit reached!
% 26.95/4.79 % (917181)------------------------------
% 26.95/4.79 % (917181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.79 % (917181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.80 % (917181)CaDiCaL version: 2.1.3
% 26.95/4.80 % (917181)Termination reason: Instruction limit
% 26.95/4.80 % (917181)Termination phase: Saturation
% 26.95/4.80 % (917181)Time elapsed: 0.067 s
% 26.95/4.80 % (917181)Peak memory usage: 92 MB
% 26.95/4.80 % (917181)Instructions burned: 134 (million)
% 26.95/4.80 % (917182)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2392635658:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 26.95/4.80 % (917182)Refutation not found, incomplete strategy
% 26.95/4.80 % (917182)------------------------------
% 26.95/4.80 % (917182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.80 % (917182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.80 % (917182)CaDiCaL version: 2.1.3
% 26.95/4.80 % (917182)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.80 % (917182)Time elapsed: 0.002 s
% 26.95/4.80 % (917182)Peak memory usage: 88 MB
% 26.95/4.80 % (917182)Instructions burned: 2 (million)
% 26.95/4.80 % (917184)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=866131920:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 26.95/4.80 % (917184)Refutation not found, incomplete strategy
% 26.95/4.80 % (917184)------------------------------
% 26.95/4.80 % (917184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.80 % (917184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.80 % (917184)CaDiCaL version: 2.1.3
% 26.95/4.80 % (917184)Termination reason: Refutation not found, incomplete strategy
% 26.95/4.80 % (917184)Time elapsed: 0.003 s
% 26.95/4.80 % (917184)Peak memory usage: 89 MB
% 26.95/4.80 % (917184)Instructions burned: 2 (million)
% 26.95/4.80 % (917182)------------------------------
% 26.95/4.80 % (917182)------------------------------
% 26.95/4.80 % (917184)------------------------------
% 26.95/4.80 % (917184)------------------------------
% 26.95/4.80 % (917187)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=1744819435:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 26.95/4.80 % (917189)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=2370730362:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 26.95/4.80 % (917189)Instruction limit reached!
% 26.95/4.80 % (917189)------------------------------
% 26.95/4.80 % (917189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.95/4.80 % (917189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.95/4.80 % (917189)CaDiCaL version: 2.1.3
% 26.95/4.80 % (917189)Termination reason: Instruction limit
% 26.95/4.80 % (917189)Termination phase: Saturation
% 26.95/4.80 % (917189)Time elapsed: 0.082 s
% 26.95/4.80 % (917189)Peak memory usage: 91 MB
% 26.95/4.80 % (917189)Instructions burned: 151 (million)
% 26.95/4.80 % (917191)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=311186719:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 26.95/4.80 % (917137)First to succeed.
% 26.95/4.80 % (917137)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-917130"
% 26.95/4.80 % (917137)Refutation found. Thanks to Tanya!
% 26.95/4.80 % SZS status Theorem for theBenchmark
% 26.95/4.80 % SZS output start Proof for theBenchmark
% See solution above
% 28.38/4.98 % (917137)------------------------------
% 28.38/4.98 % (917137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.38/4.98 % (917137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.38/4.98 % (917137)CaDiCaL version: 2.1.3
% 28.38/4.98 % (917137)Termination reason: Refutation
% 28.38/4.98 % (917137)Time elapsed: 3.487 s
% 28.38/4.98 % (917137)Peak memory usage: 177 MB
% 28.38/4.98 % (917137)Instructions burned: 5805 (million)
% 28.38/4.98 % (917137)------------------------------
% 28.38/4.98 % (917137)------------------------------
% 28.38/4.98 % (917130)Success in time 3.953 s
% 28.38/4.98 % Vampire exiting
%------------------------------------------------------------------------------