%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM677+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 : n005.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 12:16:25 PM UTC 2026
% Result : Theorem 19.89s 6.14s
% Output : Refutation 37.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 44
% Syntax : Number of formulae : 249 ( 47 unt; 30 def)
% Number of atoms : 608 ( 19 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 631 ( 272 ~; 285 |; 25 &)
% ( 43 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 35 ( 33 usr; 31 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 11 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 141 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0] : scratc318577981d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc318118795d_n_is = scratc799458434d_e_is(scratc1180553812nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc799458434d_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(scratc1617980139all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc549761390_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f155,axiom,
pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_cn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz19a) ).
fof(f322,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cn,X0))
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__54) ).
fof(f329,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__61) ).
fof(f383,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__115) ).
fof(f390,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__122) ).
fof(f407,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__139) ).
fof(f435,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1617980139all_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__167) ).
fof(f450,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(scratc318118795d_n_is,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__182) ).
fof(f476,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(f480,conjecture,
pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f481,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f480]) ).
fof(f482,plain,
~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f481]) ).
fof(f499,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc549761390_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f500,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc549761390_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f499]) ).
fof(f580,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1)) ) ),
inference(ennf_transformation,[],[f407]) ).
fof(f608,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f450]) ).
fof(f609,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,X0),X1)) ) ),
inference(flattening,[],[f608]) ).
fof(f620,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,[],[f476]) ).
fof(f621,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,[],[f620]) ).
fof(f689,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc549761390_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc549761390_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f500]) ).
fof(f690,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc549761390_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc549761390_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1)) ) ),
inference(rectify,[],[f689]) ).
fof(f691,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc549761390_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc549761390_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f690]) ).
fof(f764,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cn,X0))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cn,X0)) ) ),
inference(nnf_transformation,[],[f322]) ).
fof(f771,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f329]) ).
fof(f840,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,X0),X1)) ) ),
inference(nnf_transformation,[],[f383]) ).
fof(f847,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f390]) ).
fof(f865,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f580]) ).
fof(f866,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2)) ) ),
inference(flattening,[],[f865]) ).
fof(f908,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f435]) ).
fof(f927,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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,[],[f609]) ).
fof(f928,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f927]) ).
fof(f988,plain,
! [X0] : scratc318577981d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1014,plain,
scratc318118795d_n_is = scratc799458434d_e_is(scratc1180553812nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1078,plain,
! [X0] : scratc799458434d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1162,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc549761390_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1)) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1163,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1164,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| scratc549761390_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1165,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f691]) ).
fof(f1174,plain,
pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_cn)),
inference(cnf_transformation,[],[f155]) ).
fof(f1424,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cn,X0)) ),
inference(cnf_transformation,[],[f764]) ).
fof(f1439,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f771]) ).
fof(f1559,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,X0),X1)) ),
inference(cnf_transformation,[],[f840]) ).
fof(f1574,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f847]) ).
fof(f1608,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2)) ),
inference(cnf_transformation,[],[f866]) ).
fof(f1686,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f908]) ).
fof(f1724,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(scratc318118795d_n_is,X0),X1)) ),
inference(cnf_transformation,[],[f928]) ).
fof(f1725,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(scratc963849150_29_ii,X2),X3)) ),
inference(cnf_transformation,[],[f928]) ).
fof(f1726,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc318577981d_n_pl(X3),X1))) ),
inference(cnf_transformation,[],[f928]) ).
fof(f1770,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,[],[f621]) ).
fof(f1774,plain,
~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f482]) ).
fof(f1799,plain,
scratc318118795d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1014,f1078]) ).
fof(f1878,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X1)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1608,f988,f988]) ).
fof(f1917,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(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X2)),X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,X3)),X1))) ),
inference(definition_unfolding,[],[f1726,f988,f988]) ).
fof(f1950,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1952,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_ad))
| spl29_1 ),
inference(avatar_component_clause,[],[f1950]) ).
fof(f1953,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1774,f1950]) ).
fof(f1954,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| spl29_1 ),
inference(resolution,[],[f1952,f1163]) ).
fof(f1955,plain,
( scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1952,f1164]) ).
fof(f1956,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_1 ),
inference(resolution,[],[f1952,f1165]) ).
fof(f1969,definition,
( spl29_2
<=> scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1971,plain,
( scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1969]) ).
fof(f1972,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1955,f1950,f1969]) ).
fof(f1974,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(f1976,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_3 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f1977,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f1956,f1950,f1974]) ).
fof(f1978,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_3 ),
inference(resolution,[],[f1976,f1439]) ).
fof(f2521,definition,
( spl29_5
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2523,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2521]) ).
fof(f2524,plain,
( spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f1954,f1950,f2521]) ).
fof(f2526,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1617980139all_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(f2528,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2526]) ).
fof(f2529,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f1978,f1974,f2526]) ).
fof(f2531,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,[],[f2528,f1163]) ).
fof(f2533,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,[],[f2528,f1165]) ).
fof(f2551,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(f2553,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,[],[f2551]) ).
fof(f2554,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2533,f2526,f2551]) ).
fof(f2555,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f2553,f1574]) ).
fof(f2601,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1617980139all_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(f2603,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f2601]) ).
fof(f2604,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2555,f2551,f2601]) ).
fof(f2606,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,[],[f2603,f1163]) ).
fof(f2607,plain,
( scratc549761390_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,[],[f2603,f1164]) ).
fof(f2608,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,[],[f2603,f1165]) ).
fof(f2621,definition,
( spl29_10
<=> scratc549761390_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(f2623,plain,
( scratc549761390_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,[],[f2621]) ).
fof(f2624,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2607,f2601,f2621]) ).
fof(f2626,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(scratc1617980139all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f2623,f1162]) ).
fof(f2627,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(scratc1617980139all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f2626,f2606]) ).
fof(f3134,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(scratc1617980139all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3135,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(scratc1617980139all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3134]) ).
fof(f3136,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f2627,f2621,f2601,f3134]) ).
fof(f3138,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(f3140,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,[],[f3138]) ).
fof(f3141,plain,
( spl29_13
| spl29_6 ),
inference(avatar_split_clause,[],[f2531,f2526,f3138]) ).
fof(f3215,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,[],[f2523,f1770]) ).
fof(f3235,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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,[],[f3215,f1799]) ).
fof(f3325,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(f3327,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,[],[f3325]) ).
fof(f3328,plain,
( ~ spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f2608,f2601,f3325]) ).
fof(f3329,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f3327,f1686]) ).
fof(f3375,definition,
( spl29_16
<=> pp(aa_fun171081125l_bool(scratc1617980139all_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(f3377,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_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,[],[f3375]) ).
fof(f3378,plain,
( ~ spl29_16
| spl29_15 ),
inference(avatar_split_clause,[],[f3329,f3325,f3375]) ).
fof(f3380,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,[],[f3377,f1163]) ).
fof(f3381,plain,
( scratc549761390_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,[],[f3377,f1164]) ).
fof(f3382,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,[],[f3377,f1165]) ).
fof(f3395,definition,
( spl29_17
<=> scratc549761390_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(f3397,plain,
( scratc549761390_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,[],[f3395]) ).
fof(f3398,plain,
( spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f3381,f3375,f3395]) ).
fof(f3407,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(f3409,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,[],[f3407]) ).
fof(f3410,plain,
( ~ spl29_19
| spl29_16 ),
inference(avatar_split_clause,[],[f3382,f3375,f3407]) ).
fof(f3411,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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,[],[f3409,f1724]) ).
fof(f3412,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_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,[],[f3409,f1725]) ).
fof(f3413,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_19 ),
inference(resolution,[],[f3409,f1917]) ).
fof(f3459,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f3461,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f3459]) ).
fof(f3462,plain,
( ~ spl29_20
| spl29_19 ),
inference(avatar_split_clause,[],[f3413,f3407,f3459]) ).
fof(f3666,definition,
( spl29_26
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_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_26])],[avatar_definition]) ).
fof(f3668,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_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_26 ),
inference(avatar_component_clause,[],[f3666]) ).
fof(f3669,plain,
( spl29_26
| spl29_19 ),
inference(avatar_split_clause,[],[f3412,f3407,f3666]) ).
fof(f3795,definition,
( spl29_31
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_31])],[avatar_definition]) ).
fof(f3797,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_31 ),
inference(avatar_component_clause,[],[f3795]) ).
fof(f3798,plain,
( spl29_31
| spl29_16 ),
inference(avatar_split_clause,[],[f3380,f3375,f3795]) ).
fof(f3857,definition,
( spl29_34
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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_34])],[avatar_definition]) ).
fof(f3859,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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_34 ),
inference(avatar_component_clause,[],[f3857]) ).
fof(f3860,plain,
( spl29_34
| spl29_19 ),
inference(avatar_split_clause,[],[f3411,f3407,f3857]) ).
fof(f4212,plain,
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aTP_Lamm_cn))
| pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_12 ),
inference(resolution,[],[f3135,f1424]) ).
fof(f4329,plain,
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f4212,f1174]) ).
fof(f7112,definition,
( spl29_85
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_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_85])],[avatar_definition]) ).
fof(f7113,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc318118795d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ad) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_85 ),
inference(avatar_component_clause,[],[f7112]) ).
fof(f7114,plain,
( spl29_85
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3235,f2521,f7112]) ).
fof(f8111,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_34
| ~ spl29_85 ),
inference(resolution,[],[f7113,f3859]) ).
fof(f8173,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_34
| ~ spl29_85 ),
inference(forward_subsumption_resolution,[],[f8111,f3140]) ).
fof(f8180,definition,
( spl29_133
<=> 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_133])],[avatar_definition]) ).
fof(f8182,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_133 ),
inference(avatar_component_clause,[],[f8180]) ).
fof(f8183,plain,
( spl29_133
| ~ spl29_13
| ~ spl29_34
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f8173,f7112,f3857,f3138,f8180]) ).
fof(f8194,plain,
( scratc549761390_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,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))))),aTP_Lamm_a)
| ~ spl29_17
| ~ spl29_133 ),
inference(superposition,[],[f3397,f8182]) ).
fof(f8197,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad))))
| spl29_20
| ~ spl29_133 ),
inference(superposition,[],[f3461,f8182]) ).
fof(f8203,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,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(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_26
| ~ spl29_133 ),
inference(superposition,[],[f3668,f8182]) ).
fof(f8208,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,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_133 ),
inference(superposition,[],[f3797,f8182]) ).
fof(f9324,definition,
( spl29_212
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_212])],[avatar_definition]) ).
fof(f9326,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1537389308bnd_ap,aa_TPTP_ind_TPTP_ind(scratc98832231d_plus,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,aTP_Lamm_ad))))
| spl29_212 ),
inference(avatar_component_clause,[],[f9324]) ).
fof(f9327,plain,
( ~ spl29_212
| spl29_20
| ~ spl29_133 ),
inference(avatar_split_clause,[],[f8197,f8180,f3459,f9324]) ).
fof(f10348,definition,
( spl29_258
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,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_258])],[avatar_definition]) ).
fof(f10350,plain,
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,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_258 ),
inference(avatar_component_clause,[],[f10348]) ).
fof(f10351,plain,
( spl29_258
| ~ spl29_12 ),
inference(avatar_split_clause,[],[f4329,f3134,f10348]) ).
fof(f10352,plain,
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,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_133
| ~ spl29_258 ),
inference(forward_demodulation,[],[f10350,f8182]) ).
fof(f11016,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc963849150_29_ii,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(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)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(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(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,aTP_Lamm_ad)))
| spl29_212 ),
inference(resolution,[],[f9326,f1878]) ).
fof(f11075,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(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(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,aTP_Lamm_ad)))
| ~ spl29_26
| ~ spl29_133
| spl29_212 ),
inference(forward_subsumption_resolution,[],[f11016,f8203]) ).
fof(f11077,definition,
( spl29_304
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(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(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,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_304])],[avatar_definition]) ).
fof(f11079,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl(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(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,aTP_Lamm_ad)))
| spl29_304 ),
inference(avatar_component_clause,[],[f11077]) ).
fof(f11080,plain,
( ~ spl29_304
| ~ spl29_26
| ~ spl29_133
| spl29_212 ),
inference(avatar_split_clause,[],[f11075,f9324,f8180,f3666,f11077]) ).
fof(f11093,plain,
( ! [X0] :
( ~ scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cl(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(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_304 ),
inference(resolution,[],[f11079,f1162]) ).
fof(f11127,plain,
( ! [X0] :
( ~ scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cl(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(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_5
| spl29_304 ),
inference(forward_subsumption_resolution,[],[f11093,f2523]) ).
fof(f11129,definition,
( spl29_305
<=> ! [X0] :
( ~ scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cl(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(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)))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_305])],[avatar_definition]) ).
fof(f11130,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cl(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(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))))))))
| ~ scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0) )
| ~ spl29_305 ),
inference(avatar_component_clause,[],[f11129]) ).
fof(f11131,plain,
( spl29_305
| ~ spl29_5
| spl29_304 ),
inference(avatar_split_clause,[],[f11127,f11077,f2521,f11129]) ).
fof(f11132,plain,
( ~ scratc549761390_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,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(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_305 ),
inference(resolution,[],[f11130,f1559]) ).
fof(f11148,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,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(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_2
| ~ spl29_305 ),
inference(forward_subsumption_resolution,[],[f11132,f1971]) ).
fof(f11150,definition,
( spl29_306
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,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(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))))))) ),
introduced(definition,[new_symbols(definition,[spl29_306])],[avatar_definition]) ).
fof(f11152,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,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(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_306 ),
inference(avatar_component_clause,[],[f11150]) ).
fof(f11153,plain,
( ~ spl29_306
| ~ spl29_2
| ~ spl29_305 ),
inference(avatar_split_clause,[],[f11148,f11129,f1969,f11150]) ).
fof(f11962,definition,
( spl29_317
<=> scratc549761390_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,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))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_317])],[avatar_definition]) ).
fof(f11964,plain,
( scratc549761390_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,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))))),aTP_Lamm_a)
| ~ spl29_317 ),
inference(avatar_component_clause,[],[f11962]) ).
fof(f11965,plain,
( spl29_317
| ~ spl29_17
| ~ spl29_133 ),
inference(avatar_split_clause,[],[f8194,f8180,f3395,f11962]) ).
fof(f20905,definition,
( spl29_339
<=> ! [X0,X1,X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc549761390_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl29_339])],[avatar_definition]) ).
fof(f20906,plain,
( ! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1617980139all_of(X0),X1))
| ~ scratc549761390_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) )
| ~ spl29_339 ),
inference(avatar_component_clause,[],[f20905]) ).
fof(f20907,plain,
spl29_339,
inference(avatar_split_clause,[],[f1162,f20905]) ).
fof(f22661,definition,
( spl29_550
<=> pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,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_550])],[avatar_definition]) ).
fof(f22663,plain,
( pp(aa_fun171081125l_bool(scratc1617980139all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm,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_550 ),
inference(avatar_component_clause,[],[f22661]) ).
fof(f22664,plain,
( spl29_550
| ~ spl29_133
| ~ spl29_258 ),
inference(avatar_split_clause,[],[f10352,f10348,f8180,f22661]) ).
fof(f22665,plain,
( ! [X0] :
( ~ scratc549761390_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)) )
| ~ spl29_339
| ~ spl29_550 ),
inference(resolution,[],[f22663,f20906]) ).
fof(f23049,definition,
( spl29_597
<=> 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,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_597])],[avatar_definition]) ).
fof(f23051,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,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_597 ),
inference(avatar_component_clause,[],[f23049]) ).
fof(f23052,plain,
( spl29_597
| ~ spl29_31
| ~ spl29_133 ),
inference(avatar_split_clause,[],[f8208,f8180,f3795,f23049]) ).
fof(f23321,definition,
( spl29_646
<=> ! [X0] :
( ~ scratc549761390_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_646])],[avatar_definition]) ).
fof(f23322,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc549761390_is_of(X0,aTP_Lamm_a) )
| ~ spl29_646 ),
inference(avatar_component_clause,[],[f23321]) ).
fof(f23323,plain,
( spl29_646
| ~ spl29_339
| ~ spl29_550 ),
inference(avatar_split_clause,[],[f22665,f22661,f20905,f23321]) ).
fof(f26260,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,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))))))
| ~ scratc549761390_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,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))))),aTP_Lamm_a)
| spl29_306
| ~ spl29_646 ),
inference(resolution,[],[f23322,f11152]) ).
fof(f26266,plain,
( ~ scratc549761390_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,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))))),aTP_Lamm_a)
| spl29_306
| ~ spl29_597
| ~ spl29_646 ),
inference(forward_subsumption_resolution,[],[f26260,f23051]) ).
fof(f26267,plain,
( $false
| spl29_306
| ~ spl29_317
| ~ spl29_597
| ~ spl29_646 ),
inference(forward_subsumption_resolution,[],[f26266,f11964]) ).
fof(f26268,plain,
( spl29_306
| ~ spl29_317
| ~ spl29_597
| ~ spl29_646 ),
inference(avatar_contradiction_clause,[],[f26267]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1953]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1972]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f1977]) ).
cnf(s5,plain,
( spl29_1
| spl29_5 ),
inference(sat_conversion,[],[f2524]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2554]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2604]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f3136]) ).
cnf(s13,plain,
( spl29_6
| spl29_13 ),
inference(sat_conversion,[],[f3141]) ).
cnf(s15,plain,
( spl29_9
| ~ spl29_15 ),
inference(sat_conversion,[],[f3328]) ).
cnf(s16,plain,
( spl29_15
| ~ spl29_16 ),
inference(sat_conversion,[],[f3378]) ).
cnf(s17,plain,
( spl29_16
| spl29_17 ),
inference(sat_conversion,[],[f3398]) ).
cnf(s19,plain,
( spl29_16
| ~ spl29_19 ),
inference(sat_conversion,[],[f3410]) ).
cnf(s20,plain,
( spl29_19
| ~ spl29_20 ),
inference(sat_conversion,[],[f3462]) ).
cnf(s24,plain,
( spl29_19
| spl29_26 ),
inference(sat_conversion,[],[f3669]) ).
cnf(s28,plain,
( spl29_16
| spl29_31 ),
inference(sat_conversion,[],[f3798]) ).
cnf(s31,plain,
( spl29_19
| spl29_34 ),
inference(sat_conversion,[],[f3860]) ).
cnf(s98,plain,
( ~ spl29_5
| spl29_85 ),
inference(sat_conversion,[],[f7114]) ).
cnf(s148,plain,
( ~ spl29_13
| ~ spl29_34
| ~ spl29_85
| spl29_133 ),
inference(sat_conversion,[],[f8183]) ).
cnf(s227,plain,
( spl29_20
| ~ spl29_133
| ~ spl29_212 ),
inference(sat_conversion,[],[f9327]) ).
cnf(s272,plain,
( ~ spl29_12
| spl29_258 ),
inference(sat_conversion,[],[f10351]) ).
cnf(s319,plain,
( ~ spl29_26
| ~ spl29_133
| spl29_212
| ~ spl29_304 ),
inference(sat_conversion,[],[f11080]) ).
cnf(s320,plain,
( ~ spl29_5
| spl29_304
| spl29_305 ),
inference(sat_conversion,[],[f11131]) ).
cnf(s321,plain,
( ~ spl29_2
| ~ spl29_305
| ~ spl29_306 ),
inference(sat_conversion,[],[f11153]) ).
cnf(s333,plain,
( ~ spl29_17
| ~ spl29_133
| spl29_317 ),
inference(sat_conversion,[],[f11965]) ).
cnf(s1536,plain,
spl29_339,
inference(sat_conversion,[],[f20907]) ).
cnf(s1754,plain,
( ~ spl29_133
| ~ spl29_258
| spl29_550 ),
inference(sat_conversion,[],[f22664]) ).
cnf(s1801,plain,
( ~ spl29_31
| ~ spl29_133
| spl29_597 ),
inference(sat_conversion,[],[f23052]) ).
cnf(s1850,plain,
( ~ spl29_339
| ~ spl29_550
| spl29_646 ),
inference(sat_conversion,[],[f23323]) ).
cnf(s2152,plain,
( spl29_306
| ~ spl29_317
| ~ spl29_597
| ~ spl29_646 ),
inference(sat_conversion,[],[f26268]) ).
cnf(s2165,plain,
spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s2166,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s2167,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s2174,plain,
spl29_85,
inference(rat,[],[s98,s2165]) ).
cnf(s2184,plain,
~ spl29_6,
inference(rat,[],[s6,s2166]) ).
cnf(s2198,plain,
spl29_13,
inference(rat,[],[s13,s2184]) ).
cnf(s2199,plain,
~ spl29_8,
inference(rat,[],[s8,s2184]) ).
cnf(s2268,plain,
~ spl29_9,
inference(rat,[],[s9,s2199]) ).
cnf(s2367,plain,
~ spl29_15,
inference(rat,[],[s15,s2268]) ).
cnf(s2368,plain,
spl29_10,
inference(rat,[],[s10,s2268]) ).
cnf(s2524,plain,
~ spl29_16,
inference(rat,[],[s16,s2367]) ).
cnf(s2525,plain,
spl29_12,
inference(rat,[],[s12,s2268,s2368]) ).
cnf(s2534,plain,
spl29_31,
inference(rat,[],[s28,s2524]) ).
cnf(s2535,plain,
~ spl29_19,
inference(rat,[],[s19,s2524]) ).
cnf(s2536,plain,
spl29_17,
inference(rat,[],[s17,s2524]) ).
cnf(s2558,plain,
spl29_258,
inference(rat,[],[s272,s2525]) ).
cnf(s2593,plain,
spl29_34,
inference(rat,[],[s31,s2535]) ).
cnf(s2594,plain,
spl29_26,
inference(rat,[],[s24,s2535]) ).
cnf(s2595,plain,
~ spl29_20,
inference(rat,[],[s20,s2535]) ).
cnf(s2599,plain,
spl29_133,
inference(rat,[],[s148,s2198,s2174,s2593]) ).
cnf(s2671,plain,
spl29_597,
inference(rat,[],[s1801,s2534,s2599]) ).
cnf(s2693,plain,
spl29_550,
inference(rat,[],[s1754,s2558,s2599]) ).
cnf(s2730,plain,
spl29_317,
inference(rat,[],[s333,s2536,s2599]) ).
cnf(s2733,plain,
~ spl29_212,
inference(rat,[],[s227,s2595,s2599]) ).
cnf(s2775,plain,
spl29_646,
inference(rat,[],[s1850,s1536,s2693]) ).
cnf(s2800,plain,
spl29_306,
inference(rat,[],[s2152,s2775,s2671,s2730]) ).
cnf(s2802,plain,
~ spl29_304,
inference(rat,[],[s319,s2599,s2594,s2733]) ).
cnf(s2851,plain,
~ spl29_305,
inference(rat,[],[s321,s2167,s2800]) ).
cnf(s2855,plain,
$false,
inference(rat,[],[s320,s2165,s2851,s2802]) ).
fof(f26269,plain,
$false,
inference(avatar_sat_refutation,[],[s2855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM677+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n005.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 21:03:02 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 9.17/2.20 % (157497)Detected formulas, will run a generic FOF schedule.
% 9.17/2.20 % (157508)dis-21_1_sil=8000:lcm=predicate:random_seed=126045503: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)
% 9.17/2.20 % (157505)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1590070059:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.17/2.20 % (157507)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1971167861:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.17/2.20 % (157502)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=1556212429:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.17/2.20 % (157506)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3777807950:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.17/2.20 % (157504)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=3265415970:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.17/2.20 % (157503)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=1588458178:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.17/2.20 % (157505)Refutation not found, incomplete strategy
% 9.17/2.20 % (157505)------------------------------
% 9.17/2.20 % (157505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.20 % (157505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.20 % (157505)CaDiCaL version: 2.1.3
% 9.17/2.20 % (157505)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.20 % (157505)Time elapsed: 0.002 s
% 9.17/2.20 % (157505)Peak memory usage: 88 MB
% 9.17/2.20 % (157505)Instructions burned: 2 (million)
% 9.17/2.20 % (157506)Refutation not found, incomplete strategy
% 9.17/2.20 % (157506)------------------------------
% 9.17/2.20 % (157506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.20 % (157506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.20 % (157506)CaDiCaL version: 2.1.3
% 9.17/2.20 % (157506)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.20 % (157506)Time elapsed: 0.003 s
% 9.17/2.20 % (157506)Peak memory usage: 88 MB
% 9.17/2.20 % (157506)Instructions burned: 3 (million)
% 9.17/2.20 % (157508)Instruction limit reached!
% 9.17/2.20 % (157508)------------------------------
% 9.17/2.20 % (157508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.20 % (157508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.20 % (157508)CaDiCaL version: 2.1.3
% 9.17/2.20 % (157508)Termination reason: Instruction limit
% 9.17/2.20 % (157508)Termination phase: Saturation
% 9.17/2.20 % (157508)Time elapsed: 0.041 s
% 9.17/2.20 % (157508)Peak memory usage: 90 MB
% 9.17/2.20 % (157508)Instructions burned: 130 (million)
% 9.17/2.20 % (157507)Instruction limit reached!
% 9.17/2.20 % (157507)------------------------------
% 9.17/2.20 % (157507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.20 % (157507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.20 % (157507)CaDiCaL version: 2.1.3
% 9.17/2.20 % (157507)Termination reason: Instruction limit
% 9.17/2.20 % (157507)Termination phase: Saturation
% 9.17/2.20 % (157507)Time elapsed: 0.083 s
% 9.17/2.20 % (157507)Peak memory usage: 90 MB
% 9.17/2.20 % (157507)Instructions burned: 139 (million)
% 9.17/2.20 % (157516)lrs+10_1_sil=8000:sp=occurrence:random_seed=591525123:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.17/2.20 % (157516)Refutation not found, incomplete strategy
% 9.17/2.20 % (157516)------------------------------
% 9.17/2.20 % (157516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.17/2.20 % (157516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.17/2.20 % (157516)CaDiCaL version: 2.1.3
% 9.17/2.20 % (157516)Termination reason: Refutation not found, incomplete strategy
% 9.17/2.20 % (157516)Time elapsed: 0.001 s
% 9.17/2.20 % (157516)Peak memory usage: 88 MB
% 9.17/2.20 % (157516)Instructions burned: 2 (million)
% 9.17/2.20 % (157517)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4250924821:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.86/3.43 % (157517)Refutation not found, incomplete strategy
% 17.86/3.43 % (157517)------------------------------
% 17.86/3.43 % (157517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.43 % (157517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.43 % (157517)CaDiCaL version: 2.1.3
% 17.86/3.43 % (157517)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.43 % (157517)Time elapsed: 0.005 s
% 17.86/3.43 % (157517)Peak memory usage: 88 MB
% 17.86/3.43 % (157517)Instructions burned: 7 (million)
% 17.86/3.43 % (157506)------------------------------
% 17.86/3.43 % (157506)------------------------------
% 17.86/3.43 % (157505)------------------------------
% 17.86/3.43 % (157505)------------------------------
% 17.86/3.43 % (157516)------------------------------
% 17.86/3.43 % (157516)------------------------------
% 17.86/3.43 % (157520)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4204703322:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.86/3.43 % (157521)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=1567629641:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.86/3.43 % (157520)Refutation not found, incomplete strategy
% 17.86/3.43 % (157520)------------------------------
% 17.86/3.43 % (157520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.43 % (157520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.43 % (157520)CaDiCaL version: 2.1.3
% 17.86/3.43 % (157520)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.43 % (157520)Time elapsed: 0.005 s
% 17.86/3.43 % (157520)Peak memory usage: 89 MB
% 17.86/3.43 % (157520)Instructions burned: 5 (million)
% 17.86/3.43 % (157522)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2178384290:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.86/3.43 % (157522)Refutation not found, incomplete strategy
% 17.86/3.43 % (157522)------------------------------
% 17.86/3.43 % (157522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.43 % (157522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.43 % (157522)CaDiCaL version: 2.1.3
% 17.86/3.43 % (157522)Termination reason: Refutation not found, incomplete strategy
% 17.86/3.43 % (157522)Time elapsed: 0.002 s
% 17.86/3.43 % (157522)Peak memory usage: 88 MB
% 17.86/3.43 % (157522)Instructions burned: 6 (million)
% 17.86/3.43 % (157517)------------------------------
% 17.86/3.43 % (157517)------------------------------
% 17.86/3.43 % (157521)Instruction limit reached!
% 17.86/3.43 % (157521)------------------------------
% 17.86/3.43 % (157521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.43 % (157521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.43 % (157521)CaDiCaL version: 2.1.3
% 17.86/3.43 % (157521)Termination reason: Instruction limit
% 17.86/3.43 % (157521)Termination phase: Saturation
% 17.86/3.43 % (157521)Time elapsed: 0.126 s
% 17.86/3.43 % (157521)Peak memory usage: 94 MB
% 17.86/3.43 % (157521)Instructions burned: 248 (million)
% 17.86/3.43 % (157522)------------------------------
% 17.86/3.43 % (157522)------------------------------
% 17.86/3.43 % (157520)------------------------------
% 17.86/3.43 % (157520)------------------------------
% 17.86/3.43 % (157526)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1323587591:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 17.86/3.43 % (157528)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3718244186:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 17.86/3.43 % (157527)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1555542907:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 17.86/3.43 % (157528)Instruction limit reached!
% 17.86/3.43 % (157528)------------------------------
% 17.86/3.43 % (157528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.86/3.43 % (157528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.86/3.43 % (157528)CaDiCaL version: 2.1.3
% 17.86/3.43 % (157528)Termination reason: Instruction limit
% 17.86/3.43 % (157528)Termination phase: Saturation
% 17.86/3.43 % (157528)Time elapsed: 0.033 s
% 17.86/3.43 % (157528)Peak memory usage: 89 MB
% 17.86/3.43 % (157528)Instructions burned: 128 (million)
% 17.86/3.43 % (157527)Instruction limit reached!
% 35.12/5.85 % (157527)------------------------------
% 35.12/5.85 % (157527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.85 % (157527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.85 % (157527)CaDiCaL version: 2.1.3
% 35.12/5.85 % (157527)Termination reason: Instruction limit
% 35.12/5.85 % (157527)Termination phase: Saturation
% 35.12/5.85 % (157527)Time elapsed: 0.062 s
% 35.12/5.85 % (157527)Peak memory usage: 91 MB
% 35.12/5.85 % (157527)Instructions burned: 113 (million)
% 35.12/5.85 % (157530)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2561563668:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 35.12/5.85 % (157533)lrs+10_1_sil=8000:sp=occurrence:random_seed=2169358353:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 35.12/5.85 % (157533)Refutation not found, incomplete strategy
% 35.12/5.85 % (157533)------------------------------
% 35.12/5.85 % (157533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.85 % (157533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.85 % (157533)CaDiCaL version: 2.1.3
% 35.12/5.85 % (157533)Termination reason: Refutation not found, incomplete strategy
% 35.12/5.85 % (157533)Time elapsed: 0.001 s
% 35.12/5.85 % (157533)Peak memory usage: 88 MB
% 35.12/5.85 % (157533)Instructions burned: 2 (million)
% 35.12/5.85 % (157530)Instruction limit reached!
% 35.12/5.85 % (157530)------------------------------
% 35.12/5.85 % (157530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.85 % (157530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.85 % (157530)CaDiCaL version: 2.1.3
% 35.12/5.85 % (157530)Termination reason: Instruction limit
% 35.12/5.85 % (157530)Termination phase: Saturation
% 35.12/5.85 % (157530)Time elapsed: 0.064 s
% 35.12/5.85 % (157530)Peak memory usage: 89 MB
% 35.12/5.85 % (157530)Instructions burned: 115 (million)
% 35.12/5.85 % (157534)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3246275939:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 35.12/5.85 % (157534)Refutation not found, incomplete strategy
% 35.12/5.85 % (157534)------------------------------
% 35.12/5.86 % (157534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.86 % (157534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.86 % (157534)CaDiCaL version: 2.1.3
% 35.12/5.86 % (157534)Termination reason: Refutation not found, incomplete strategy
% 35.12/5.86 % (157534)Time elapsed: 0.035 s
% 35.12/5.86 % (157534)Peak memory usage: 90 MB
% 35.12/5.86 % (157534)Instructions burned: 65 (million)
% 35.12/5.86 % (157533)------------------------------
% 35.12/5.86 % (157533)------------------------------
% 35.12/5.86 % (157537)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=478485869:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 35.12/5.86 % (157539)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3306235518:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 35.12/5.86 % (157539)Instruction limit reached!
% 35.12/5.86 % (157539)------------------------------
% 35.12/5.86 % (157539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.86 % (157539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.86 % (157539)CaDiCaL version: 2.1.3
% 35.12/5.86 % (157539)Termination reason: Instruction limit
% 35.12/5.86 % (157539)Termination phase: Saturation
% 35.12/5.86 % (157539)Time elapsed: 0.038 s
% 35.12/5.86 % (157539)Peak memory usage: 93 MB
% 35.12/5.86 % (157539)Instructions burned: 137 (million)
% 35.12/5.86 % (157534)------------------------------
% 35.12/5.86 % (157534)------------------------------
% 35.12/5.86 % (157542)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2916419240:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 35.12/5.86 % (157542)Refutation not found, incomplete strategy
% 35.12/5.86 % (157542)------------------------------
% 35.12/5.86 % (157542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.12/5.86 % (157542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.12/5.86 % (157542)CaDiCaL version: 2.1.3
% 35.12/5.86 % (157542)Termination reason: Refutation not found, incomplete strategy
% 35.12/5.86 % (157542)Time elapsed: 0.009 s
% 35.12/5.86 % (157542)Peak memory usage: 89 MB
% 19.89/6.14 % (157542)Instructions burned: 30 (million)
% 19.89/6.14 % (157543)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=226243756:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 19.89/6.14 % (157542)------------------------------
% 19.89/6.14 % (157542)------------------------------
% 19.89/6.14 % (157546)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=2150645418:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 19.89/6.14 % (157546)Refutation not found, incomplete strategy
% 19.89/6.14 % (157546)------------------------------
% 19.89/6.14 % (157546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157546)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157546)Termination reason: Refutation not found, incomplete strategy
% 19.89/6.14 % (157546)Time elapsed: 0.003 s
% 19.89/6.14 % (157546)Peak memory usage: 88 MB
% 19.89/6.14 % (157546)Instructions burned: 10 (million)
% 19.89/6.14 % (157546)------------------------------
% 19.89/6.14 % (157546)------------------------------
% 19.89/6.14 % (157548)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1804592371:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 19.89/6.14 % (157548)Instruction limit reached!
% 19.89/6.14 % (157548)------------------------------
% 19.89/6.14 % (157548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157548)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157548)Termination reason: Instruction limit
% 19.89/6.14 % (157548)Termination phase: Saturation
% 19.89/6.14 % (157548)Time elapsed: 0.037 s
% 19.89/6.14 % (157548)Peak memory usage: 92 MB
% 19.89/6.14 % (157548)Instructions burned: 136 (million)
% 19.89/6.14 % (157551)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1291108071:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 19.89/6.14 % (157551)Refutation not found, incomplete strategy
% 19.89/6.14 % (157551)------------------------------
% 19.89/6.14 % (157551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157551)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157551)Termination reason: Refutation not found, incomplete strategy
% 19.89/6.14 % (157551)Time elapsed: 0.001 s
% 19.89/6.14 % (157551)Peak memory usage: 88 MB
% 19.89/6.14 % (157551)Instructions burned: 2 (million)
% 19.89/6.14 % (157551)------------------------------
% 19.89/6.14 % (157551)------------------------------
% 19.89/6.14 % (157553)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2498843108:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 19.89/6.14 % (157553)Refutation not found, incomplete strategy
% 19.89/6.14 % (157553)------------------------------
% 19.89/6.14 % (157553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157553)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157553)Termination reason: Refutation not found, incomplete strategy
% 19.89/6.14 % (157553)Time elapsed: 0.001 s
% 19.89/6.14 % (157553)Peak memory usage: 89 MB
% 19.89/6.14 % (157553)Instructions burned: 2 (million)
% 19.89/6.14 % (157553)------------------------------
% 19.89/6.14 % (157553)------------------------------
% 19.89/6.14 % (157526)Instruction limit reached!
% 19.89/6.14 % (157526)------------------------------
% 19.89/6.14 % (157526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157526)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157526)Termination reason: Instruction limit
% 19.89/6.14 % (157526)Termination phase: Saturation
% 19.89/6.14 % (157526)Time elapsed: 1.615 s
% 19.89/6.14 % (157526)Peak memory usage: 142 MB
% 19.89/6.14 % (157526)Instructions burned: 2351 (million)
% 19.89/6.14 % (157555)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=1078594389:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 19.89/6.14 % (157556)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=987716533:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 19.89/6.14 % (157556)Instruction limit reached!
% 19.89/6.14 % (157556)------------------------------
% 19.89/6.14 % (157556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157556)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157556)Termination reason: Instruction limit
% 19.89/6.14 % (157556)Termination phase: Saturation
% 19.89/6.14 % (157556)Time elapsed: 0.080 s
% 19.89/6.14 % (157556)Peak memory usage: 91 MB
% 19.89/6.14 % (157556)Instructions burned: 152 (million)
% 19.89/6.14 % (157559)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1991419980:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 19.89/6.14 % (157537)Instruction limit reached!
% 19.89/6.14 % (157537)------------------------------
% 19.89/6.14 % (157537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157537)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157537)Termination reason: Instruction limit
% 19.89/6.14 % (157537)Termination phase: Saturation
% 19.89/6.14 % (157537)Time elapsed: 3.303 s
% 19.89/6.14 % (157537)Peak memory usage: 162 MB
% 19.89/6.14 % (157537)Instructions burned: 5203 (million)
% 19.89/6.14 % (157561)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3107520783:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 19.89/6.14 % (157555)Instruction limit reached!
% 19.89/6.14 % (157555)------------------------------
% 19.89/6.14 % (157555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157555)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157555)Termination reason: Instruction limit
% 19.89/6.14 % (157555)Termination phase: Saturation
% 19.89/6.14 % (157555)Time elapsed: 2.282 s
% 19.89/6.14 % (157555)Peak memory usage: 220 MB
% 19.89/6.14 % (157555)Instructions burned: 6062 (million)
% 19.89/6.14 % (157563)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2746527051:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 19.89/6.14 % (157563)Instruction limit reached!
% 19.89/6.14 % (157563)------------------------------
% 19.89/6.14 % (157563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157563)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157563)Termination reason: Instruction limit
% 19.89/6.14 % (157563)Termination phase: Saturation
% 19.89/6.14 % (157563)Time elapsed: 0.044 s
% 19.89/6.14 % (157563)Peak memory usage: 91 MB
% 19.89/6.14 % (157563)Instructions burned: 187 (million)
% 19.89/6.14 % (157561)Instruction limit reached!
% 19.89/6.14 % (157561)------------------------------
% 19.89/6.14 % (157561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157561)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157561)Termination reason: Instruction limit
% 19.89/6.14 % (157561)Termination phase: Saturation
% 19.89/6.14 % (157561)Time elapsed: 0.327 s
% 19.89/6.14 % (157561)Peak memory usage: 100 MB
% 19.89/6.14 % (157561)Instructions burned: 669 (million)
% 19.89/6.14 % (157565)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3555498560:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2951 on theBenchmark for (2951ds/193Mi)
% 19.89/6.14 % (157565)Refutation not found, incomplete strategy
% 19.89/6.14 % (157565)------------------------------
% 19.89/6.14 % (157565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.89/6.14 % (157565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.89/6.14 % (157565)CaDiCaL version: 2.1.3
% 19.89/6.14 % (157565)Termination reason: Refutation not found, incomplete strategy
% 19.89/6.14 % (157565)Time elapsed: 0.002 s
% 19.89/6.14 % (157565)Peak memory usage: 88 MB
% 19.89/6.14 % (157565)Instructions burned: 5 (million)
% 19.89/6.14 % (157504)First to succeed.
% 19.89/6.14 % (157504)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-157497"
% 19.89/6.14 % (157566)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=722321866:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2951 on theBenchmark for (2951ds/4850Mi)
% 19.89/6.14 % (157565)------------------------------
% 19.89/6.14 % (157565)------------------------------
% 19.89/6.14 % (157569)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=4123714228:i=12111:sd=1:ss=included_2948 on theBenchmark for (2948ds/12111Mi)
% 19.89/6.14 % (157504)Refutation found. Thanks to Tanya!
% 19.89/6.14 % SZS status Theorem for theBenchmark
% 19.89/6.14 % SZS output start Proof for theBenchmark
% See solution above
% 37.75/6.35 % (157504)------------------------------
% 37.75/6.35 % (157504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.75/6.35 % (157504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.75/6.35 % (157504)CaDiCaL version: 2.1.3
% 37.75/6.35 % (157504)Termination reason: Refutation
% 37.75/6.35 % (157504)Time elapsed: 4.813 s
% 37.75/6.35 % (157504)Peak memory usage: 185 MB
% 37.75/6.35 % (157504)Instructions burned: 7519 (million)
% 37.75/6.35 % (157504)------------------------------
% 37.75/6.35 % (157504)------------------------------
% 37.75/6.35 % (157497)Success in time 5.263 s
% 37.75/6.35 % Vampire exiting
%------------------------------------------------------------------------------