%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM647+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 : n006.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 12:16:10 PM UTC 2026
% Result : Theorem 8.16s 3.05s
% Output : Refutation 15.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 39
% Syntax : Number of formulae : 213 ( 38 unt; 23 def)
% Number of atoms : 491 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 474 ( 196 ~; 215 |; 23 &)
% ( 36 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 24 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 124 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [X0] : scratc1097949183d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f46,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X0),X1))
<=> pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__nis) ).
fof(f109,axiom,
! [X0] :
( pp(scratc472954234_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc397511553nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f110,axiom,
scratc397511553nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f141,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1378033452_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f143,axiom,
pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz8) ).
fof(f248,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__23) ).
fof(f249,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__24) ).
fof(f275,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__50) ).
fof(f276,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__51) ).
fof(f290,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__65) ).
fof(f292,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__67) ).
fof(f337,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f338,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f340,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f347,conjecture,
pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f348,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f347]) ).
fof(f349,plain,
~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f348]) ).
fof(f366,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1378033452_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f141]) ).
fof(f367,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1378033452_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f366]) ).
fof(f434,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2))) ) ),
inference(ennf_transformation,[],[f290]) ).
fof(f435,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2)) ) ),
inference(ennf_transformation,[],[f292]) ).
fof(f466,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X0),X1))
| ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X0),X1))) )
& ( pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X0),X1)) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f492,plain,
! [X0] :
( ( pp(scratc472954234_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc397511553nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc397511553nd_imp,X0),fFalse))
| ~ pp(scratc472954234_d_not(X0)) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f515,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1378033452_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1378033452_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f367]) ).
fof(f516,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1378033452_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1378033452_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1)) ) ),
inference(rectify,[],[f515]) ).
fof(f517,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1378033452_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1378033452_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f516]) ).
fof(f559,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f560,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f249]) ).
fof(f589,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f275]) ).
fof(f590,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f276]) ).
fof(f604,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f434]) ).
fof(f605,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f604]) ).
fof(f607,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f435]) ).
fof(f608,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(flattening,[],[f607]) ).
fof(f686,plain,
! [X0] : scratc1097949183d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),
inference(cnf_transformation,[],[f29]) ).
fof(f710,plain,
! [X0,X1] :
( pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X0),X1)) ),
inference(cnf_transformation,[],[f466]) ).
fof(f711,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X0),X1))
| ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f466]) ).
fof(f794,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc397511553nd_imp,X0),fFalse))
| ~ pp(scratc472954234_d_not(X0)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f795,plain,
! [X0] :
( pp(scratc472954234_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc397511553nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f796,plain,
scratc397511553nd_imp = fimplies,
inference(cnf_transformation,[],[f110]) ).
fof(f858,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1378033452_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1)) ),
inference(cnf_transformation,[],[f517]) ).
fof(f859,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f517]) ).
fof(f860,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| scratc1378033452_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f517]) ).
fof(f861,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f517]) ).
fof(f864,plain,
pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f143]) ).
fof(f1021,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f559]) ).
fof(f1024,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f560]) ).
fof(f1076,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f589]) ).
fof(f1079,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f590]) ).
fof(f1107,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2))) ),
inference(cnf_transformation,[],[f605]) ).
fof(f1108,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,X1),X2)) ),
inference(cnf_transformation,[],[f605]) ).
fof(f1111,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1097949183d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ),
inference(cnf_transformation,[],[f608]) ).
fof(f1209,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f337]) ).
fof(f1210,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f338]) ).
fof(f1212,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f1219,plain,
~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f349]) ).
fof(f1265,plain,
! [X0] :
( pp(scratc472954234_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f795,f796]) ).
fof(f1266,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc472954234_d_not(X0)) ),
inference(definition_unfolding,[],[f794,f796]) ).
fof(f1308,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),X2))) ),
inference(definition_unfolding,[],[f1107,f686,f686]) ).
fof(f1313,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,X0)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1111,f686,f686]) ).
fof(f1365,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1367,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1368,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1219,f1365]) ).
fof(f1369,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f1367,f859]) ).
fof(f1370,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1367,f860]) ).
fof(f1371,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f1367,f861]) ).
fof(f1384,definition,
( spl29_2
<=> scratc1378033452_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1386,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1387,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1370,f1365,f1384]) ).
fof(f1389,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f1386,f858]) ).
fof(f1390,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f1389,f1369]) ).
fof(f1392,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f1393,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1394,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1390,f1384,f1365,f1392]) ).
fof(f1595,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(resolution,[],[f1393,f1021]) ).
fof(f1650,plain,
( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f1595,f864]) ).
fof(f1714,definition,
( spl29_4
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f1716,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_4 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f1717,plain,
( ~ spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f1371,f1365,f1714]) ).
fof(f1718,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_4 ),
inference(resolution,[],[f1716,f1024]) ).
fof(f1757,definition,
( spl29_5
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f1759,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_5 ),
inference(avatar_component_clause,[],[f1757]) ).
fof(f1760,plain,
( ~ spl29_5
| spl29_4 ),
inference(avatar_split_clause,[],[f1718,f1714,f1757]) ).
fof(f1762,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_5 ),
inference(resolution,[],[f1759,f859]) ).
fof(f1763,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_5 ),
inference(resolution,[],[f1759,f860]) ).
fof(f1764,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_5 ),
inference(resolution,[],[f1759,f861]) ).
fof(f1777,definition,
( spl29_6
<=> scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f1779,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f1777]) ).
fof(f1780,plain,
( spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f1763,f1757,f1777]) ).
fof(f1782,definition,
( spl29_7
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f1784,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_7 ),
inference(avatar_component_clause,[],[f1782]) ).
fof(f1785,plain,
( ~ spl29_7
| spl29_5 ),
inference(avatar_split_clause,[],[f1764,f1757,f1782]) ).
fof(f1786,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_7 ),
inference(resolution,[],[f1784,f1079]) ).
fof(f1832,definition,
( spl29_8
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f1834,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1835,plain,
( ~ spl29_8
| spl29_7 ),
inference(avatar_split_clause,[],[f1786,f1782,f1832]) ).
fof(f1837,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(resolution,[],[f1834,f859]) ).
fof(f1838,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_8 ),
inference(resolution,[],[f1834,f860]) ).
fof(f1839,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_8 ),
inference(resolution,[],[f1834,f861]) ).
fof(f1852,definition,
( spl29_9
<=> scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f1854,plain,
( scratc1378033452_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1855,plain,
( spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f1838,f1832,f1852]) ).
fof(f1857,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_9 ),
inference(resolution,[],[f1854,f858]) ).
fof(f1858,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| spl29_8
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f1857,f1837]) ).
fof(f1860,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_6 ),
inference(resolution,[],[f1779,f858]) ).
fof(f1861,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| spl29_5
| ~ spl29_6 ),
inference(forward_subsumption_resolution,[],[f1860,f1762]) ).
fof(f1863,definition,
( spl29_10
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f1864,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1865,plain,
( spl29_10
| spl29_5
| ~ spl29_6 ),
inference(avatar_split_clause,[],[f1861,f1777,f1757,f1863]) ).
fof(f2191,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f2192,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2193,plain,
( spl29_12
| spl29_8
| ~ spl29_9 ),
inference(avatar_split_clause,[],[f1858,f1852,f1832,f2191]) ).
fof(f2293,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f2295,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(avatar_component_clause,[],[f2293]) ).
fof(f2296,plain,
( ~ spl29_15
| spl29_8 ),
inference(avatar_split_clause,[],[f1839,f1832,f2293]) ).
fof(f2297,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_15 ),
inference(resolution,[],[f2295,f1308]) ).
fof(f2298,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_15 ),
inference(resolution,[],[f2295,f1108]) ).
fof(f2344,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f2346,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f2344]) ).
fof(f2347,plain,
( spl29_16
| spl29_15 ),
inference(avatar_split_clause,[],[f2297,f2293,f2344]) ).
fof(f2371,plain,
( ! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),X0))
| pp(X0) )
| ~ spl29_16 ),
inference(resolution,[],[f2346,f1210]) ).
fof(f2905,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f2907,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f2905]) ).
fof(f2908,plain,
( ~ spl29_20
| spl29_15 ),
inference(avatar_split_clause,[],[f2298,f2293,f2905]) ).
fof(f2948,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),X0))
| spl29_20 ),
inference(resolution,[],[f2907,f1212]) ).
fof(f3132,definition,
( spl29_33
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_33])],[avatar_definition]) ).
fof(f3134,plain,
( pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f3132]) ).
fof(f3135,plain,
( spl29_33
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f1650,f1392,f3132]) ).
fof(f4159,definition,
( spl29_66
<=> ! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),X0))
| pp(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_66])],[avatar_definition]) ).
fof(f4160,plain,
( ! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),X0))
| pp(X0) )
| ~ spl29_66 ),
inference(avatar_component_clause,[],[f4159]) ).
fof(f4161,plain,
( spl29_66
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f2371,f2344,f4159]) ).
fof(f4163,plain,
( pp(fFalse)
| ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))
| ~ spl29_66 ),
inference(resolution,[],[f4160,f1266]) ).
fof(f4177,plain,
( ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))
| ~ spl29_66 ),
inference(forward_subsumption_resolution,[],[f4163,f1209]) ).
fof(f4179,definition,
( spl29_67
<=> pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_67])],[avatar_definition]) ).
fof(f4181,plain,
( ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))
| spl29_67 ),
inference(avatar_component_clause,[],[f4179]) ).
fof(f4182,plain,
( ~ spl29_67
| ~ spl29_66 ),
inference(avatar_split_clause,[],[f4177,f4159,f4179]) ).
fof(f4183,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_67 ),
inference(resolution,[],[f4181,f710]) ).
fof(f4218,definition,
( spl29_69
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_69])],[avatar_definition]) ).
fof(f4220,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc576560826bnd_ap,aa_TPTP_ind_TPTP_ind(scratc627637285d_plus,sK12(aTP_Lamm_a,aTP_Lamm_ac))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_69 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f4221,plain,
( ~ spl29_69
| spl29_67 ),
inference(avatar_split_clause,[],[f4183,f4179,f4218]) ).
fof(f4222,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_69 ),
inference(resolution,[],[f4220,f1313]) ).
fof(f4328,definition,
( spl29_72
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_72])],[avatar_definition]) ).
fof(f4330,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_72 ),
inference(avatar_component_clause,[],[f4328]) ).
fof(f4332,definition,
( spl29_73
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_73])],[avatar_definition]) ).
fof(f4334,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438556685nd_nis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_73 ),
inference(avatar_component_clause,[],[f4332]) ).
fof(f4335,plain,
( ~ spl29_72
| ~ spl29_73
| spl29_69 ),
inference(avatar_split_clause,[],[f4222,f4218,f4332,f4328]) ).
fof(f4344,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_12
| spl29_72 ),
inference(resolution,[],[f4330,f2192]) ).
fof(f4391,definition,
( spl29_75
<=> pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_75])],[avatar_definition]) ).
fof(f4393,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_75 ),
inference(avatar_component_clause,[],[f4391]) ).
fof(f4394,plain,
( ~ spl29_75
| ~ spl29_12
| spl29_72 ),
inference(avatar_split_clause,[],[f4344,f4328,f2191,f4391]) ).
fof(f4416,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_75 ),
inference(resolution,[],[f4393,f1076]) ).
fof(f6012,definition,
( spl29_111
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_111])],[avatar_definition]) ).
fof(f6014,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_111 ),
inference(avatar_component_clause,[],[f6012]) ).
fof(f6015,plain,
( ~ spl29_111
| spl29_75 ),
inference(avatar_split_clause,[],[f4416,f4391,f6012]) ).
fof(f6024,plain,
( ~ pp(aa_fun171081125l_bool(scratc1953197229all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_10
| spl29_111 ),
inference(resolution,[],[f6014,f1864]) ).
fof(f6064,plain,
( $false
| ~ spl29_10
| ~ spl29_33
| spl29_111 ),
inference(forward_subsumption_resolution,[],[f6024,f3134]) ).
fof(f6065,plain,
( ~ spl29_10
| ~ spl29_33
| spl29_111 ),
inference(avatar_contradiction_clause,[],[f6064]) ).
fof(f6076,plain,
( ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_73 ),
inference(resolution,[],[f4334,f711]) ).
fof(f6124,definition,
( spl29_112
<=> pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_112])],[avatar_definition]) ).
fof(f6126,plain,
( ~ pp(scratc472954234_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_112 ),
inference(avatar_component_clause,[],[f6124]) ).
fof(f6127,plain,
( ~ spl29_112
| spl29_73 ),
inference(avatar_split_clause,[],[f6076,f4332,f6124]) ).
fof(f6130,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1097489997d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse))
| spl29_112 ),
inference(resolution,[],[f6126,f1265]) ).
fof(f6143,plain,
( $false
| spl29_20
| spl29_112 ),
inference(forward_subsumption_resolution,[],[f6130,f2948]) ).
fof(f6144,plain,
( spl29_20
| spl29_112 ),
inference(avatar_contradiction_clause,[],[f6143]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1368]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1387]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f1394]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_4 ),
inference(sat_conversion,[],[f1717]) ).
cnf(s5,plain,
( spl29_4
| ~ spl29_5 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s6,plain,
( spl29_5
| spl29_6 ),
inference(sat_conversion,[],[f1780]) ).
cnf(s7,plain,
( spl29_5
| ~ spl29_7 ),
inference(sat_conversion,[],[f1785]) ).
cnf(s8,plain,
( spl29_7
| ~ spl29_8 ),
inference(sat_conversion,[],[f1835]) ).
cnf(s9,plain,
( spl29_8
| spl29_9 ),
inference(sat_conversion,[],[f1855]) ).
cnf(s10,plain,
( spl29_5
| ~ spl29_6
| spl29_10 ),
inference(sat_conversion,[],[f1865]) ).
cnf(s12,plain,
( spl29_8
| ~ spl29_9
| spl29_12 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s15,plain,
( spl29_8
| ~ spl29_15 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s16,plain,
( spl29_15
| spl29_16 ),
inference(sat_conversion,[],[f2347]) ).
cnf(s20,plain,
( spl29_15
| ~ spl29_20 ),
inference(sat_conversion,[],[f2908]) ).
cnf(s33,plain,
( ~ spl29_3
| spl29_33 ),
inference(sat_conversion,[],[f3135]) ).
cnf(s66,plain,
( ~ spl29_16
| spl29_66 ),
inference(sat_conversion,[],[f4161]) ).
cnf(s67,plain,
( ~ spl29_66
| ~ spl29_67 ),
inference(sat_conversion,[],[f4182]) ).
cnf(s69,plain,
( spl29_67
| ~ spl29_69 ),
inference(sat_conversion,[],[f4221]) ).
cnf(s72,plain,
( spl29_69
| ~ spl29_72
| ~ spl29_73 ),
inference(sat_conversion,[],[f4335]) ).
cnf(s74,plain,
( ~ spl29_12
| spl29_72
| ~ spl29_75 ),
inference(sat_conversion,[],[f4394]) ).
cnf(s109,plain,
( spl29_75
| ~ spl29_111 ),
inference(sat_conversion,[],[f6015]) ).
cnf(s110,plain,
( ~ spl29_10
| ~ spl29_33
| spl29_111 ),
inference(sat_conversion,[],[f6065]) ).
cnf(s114,plain,
( spl29_73
| ~ spl29_112 ),
inference(sat_conversion,[],[f6127]) ).
cnf(s115,plain,
( spl29_20
| spl29_112 ),
inference(sat_conversion,[],[f6144]) ).
cnf(s118,plain,
~ spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s119,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s130,plain,
~ spl29_5,
inference(rat,[],[s5,s118]) ).
cnf(s131,plain,
spl29_3,
inference(rat,[],[s3,s1,s119]) ).
cnf(s136,plain,
~ spl29_7,
inference(rat,[],[s7,s130]) ).
cnf(s137,plain,
spl29_6,
inference(rat,[],[s6,s130]) ).
cnf(s143,plain,
spl29_33,
inference(rat,[],[s33,s131]) ).
cnf(s155,plain,
~ spl29_8,
inference(rat,[],[s8,s136]) ).
cnf(s156,plain,
spl29_10,
inference(rat,[],[s10,s130,s137]) ).
cnf(s167,plain,
~ spl29_15,
inference(rat,[],[s15,s155]) ).
cnf(s168,plain,
spl29_9,
inference(rat,[],[s9,s155]) ).
cnf(s169,plain,
spl29_111,
inference(rat,[],[s110,s143,s156]) ).
cnf(s187,plain,
~ spl29_20,
inference(rat,[],[s20,s167]) ).
cnf(s189,plain,
spl29_16,
inference(rat,[],[s16,s167]) ).
cnf(s190,plain,
spl29_12,
inference(rat,[],[s12,s155,s168]) ).
cnf(s191,plain,
spl29_75,
inference(rat,[],[s109,s169]) ).
cnf(s194,plain,
spl29_112,
inference(rat,[],[s115,s187]) ).
cnf(s198,plain,
spl29_66,
inference(rat,[],[s66,s189]) ).
cnf(s207,plain,
spl29_72,
inference(rat,[],[s74,s191,s190]) ).
cnf(s214,plain,
spl29_73,
inference(rat,[],[s114,s194]) ).
cnf(s215,plain,
~ spl29_67,
inference(rat,[],[s67,s198]) ).
cnf(s216,plain,
spl29_69,
inference(rat,[],[s72,s214,s207]) ).
cnf(s218,plain,
$false,
inference(rat,[],[s69,s216,s215]) ).
fof(f6145,plain,
$false,
inference(avatar_sat_refutation,[],[s218]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM647+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:55:41 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 12.45/2.62 % (3302279)Detected formulas, will run a generic FOF schedule.
% 12.45/2.62 % (3302284)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=3538488621:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.45/2.62 % (3302288)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3069302555:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.45/2.62 % (3302286)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=1049848458:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.45/2.62 % (3302287)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3837500499:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.45/2.62 % (3302289)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2449574729:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.45/2.62 % (3302285)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=3824753168:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.45/2.62 % (3302290)dis-21_1_sil=8000:lcm=predicate:random_seed=2890481754: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)
% 12.45/2.62 % (3302287)Refutation not found, incomplete strategy
% 12.45/2.62 % (3302287)------------------------------
% 12.45/2.62 % (3302287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.45/2.62 % (3302287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.45/2.62 % (3302287)CaDiCaL version: 2.1.3
% 12.45/2.62 % (3302287)Termination reason: Refutation not found, incomplete strategy
% 12.45/2.62 % (3302287)Time elapsed: 0.002 s
% 12.45/2.62 % (3302287)Peak memory usage: 88 MB
% 12.45/2.62 % (3302287)Instructions burned: 1 (million)
% 12.45/2.62 % (3302288)Refutation not found, incomplete strategy
% 12.45/2.62 % (3302288)------------------------------
% 12.45/2.62 % (3302288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.45/2.62 % (3302288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.45/2.62 % (3302288)CaDiCaL version: 2.1.3
% 12.45/2.62 % (3302288)Termination reason: Refutation not found, incomplete strategy
% 12.45/2.62 % (3302288)Time elapsed: 0.002 s
% 12.45/2.62 % (3302288)Peak memory usage: 88 MB
% 12.45/2.62 % (3302288)Instructions burned: 2 (million)
% 12.45/2.62 % (3302290)Instruction limit reached!
% 12.45/2.62 % (3302290)------------------------------
% 12.45/2.62 % (3302290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.45/2.62 % (3302290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.45/2.62 % (3302290)CaDiCaL version: 2.1.3
% 12.45/2.62 % (3302290)Termination reason: Instruction limit
% 12.45/2.62 % (3302290)Termination phase: Saturation
% 12.45/2.62 % (3302290)Time elapsed: 0.080 s
% 12.45/2.62 % (3302290)Peak memory usage: 90 MB
% 12.45/2.62 % (3302290)Instructions burned: 130 (million)
% 12.45/2.62 % (3302289)Instruction limit reached!
% 12.45/2.62 % (3302289)------------------------------
% 12.45/2.62 % (3302289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.45/2.62 % (3302289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.45/2.62 % (3302289)CaDiCaL version: 2.1.3
% 12.45/2.62 % (3302289)Termination reason: Instruction limit
% 12.45/2.62 % (3302289)Termination phase: Saturation
% 12.45/2.62 % (3302289)Time elapsed: 0.095 s
% 12.45/2.62 % (3302289)Peak memory usage: 90 MB
% 12.45/2.62 % (3302289)Instructions burned: 141 (million)
% 12.45/2.62 % (3302298)lrs+10_1_sil=8000:sp=occurrence:random_seed=927749109:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.45/2.62 % (3302298)Refutation not found, incomplete strategy
% 12.45/2.62 % (3302298)------------------------------
% 12.45/2.62 % (3302298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.45/2.62 % (3302298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.45/2.62 % (3302298)CaDiCaL version: 2.1.3
% 12.45/2.62 % (3302298)Termination reason: Refutation not found, incomplete strategy
% 12.45/2.62 % (3302298)Time elapsed: 0.002 s
% 12.45/2.62 % (3302298)Peak memory usage: 88 MB
% 12.45/2.62 % (3302298)Instructions burned: 2 (million)
% 12.45/2.62 % (3302299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=327001040:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.16/3.05 % (3302299)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302299)------------------------------
% 8.16/3.05 % (3302299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302299)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302299)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302299)Time elapsed: 0.004 s
% 8.16/3.05 % (3302299)Peak memory usage: 88 MB
% 8.16/3.05 % (3302299)Instructions burned: 5 (million)
% 8.16/3.05 % (3302288)------------------------------
% 8.16/3.05 % (3302288)------------------------------
% 8.16/3.05 % (3302287)------------------------------
% 8.16/3.05 % (3302287)------------------------------
% 8.16/3.05 % (3302302)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1432318030:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.16/3.05 % (3302303)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=4156200982:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.16/3.05 % (3302302)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302302)------------------------------
% 8.16/3.05 % (3302302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302302)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302302)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302302)Time elapsed: 0.004 s
% 8.16/3.05 % (3302302)Peak memory usage: 89 MB
% 8.16/3.05 % (3302302)Instructions burned: 4 (million)
% 8.16/3.05 % (3302298)------------------------------
% 8.16/3.05 % (3302298)------------------------------
% 8.16/3.05 % (3302299)------------------------------
% 8.16/3.05 % (3302299)------------------------------
% 8.16/3.05 % (3302303)Instruction limit reached!
% 8.16/3.05 % (3302303)------------------------------
% 8.16/3.05 % (3302303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302303)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302303)Termination reason: Instruction limit
% 8.16/3.05 % (3302303)Termination phase: Saturation
% 8.16/3.05 % (3302303)Time elapsed: 0.138 s
% 8.16/3.05 % (3302303)Peak memory usage: 93 MB
% 8.16/3.05 % (3302303)Instructions burned: 249 (million)
% 8.16/3.05 % (3302306)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1007535480:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.16/3.05 % (3302306)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302306)------------------------------
% 8.16/3.05 % (3302306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302306)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302306)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302306)Time elapsed: 0.004 s
% 8.16/3.05 % (3302306)Peak memory usage: 89 MB
% 8.16/3.05 % (3302306)Instructions burned: 5 (million)
% 8.16/3.05 % (3302307)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1146134617:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.16/3.05 % (3302302)------------------------------
% 8.16/3.05 % (3302302)------------------------------
% 8.16/3.05 % (3302308)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1894421305:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 8.16/3.05 % (3302308)Instruction limit reached!
% 8.16/3.05 % (3302308)------------------------------
% 8.16/3.05 % (3302308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302308)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302308)Termination reason: Instruction limit
% 8.16/3.05 % (3302308)Termination phase: Saturation
% 8.16/3.05 % (3302308)Time elapsed: 0.068 s
% 8.16/3.05 % (3302308)Peak memory usage: 90 MB
% 8.16/3.05 % (3302308)Instructions burned: 113 (million)
% 8.16/3.05 % (3302311)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1643951643:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 8.16/3.05 % (3302306)------------------------------
% 8.16/3.05 % (3302306)------------------------------
% 8.16/3.05 % (3302311)Instruction limit reached!
% 8.16/3.05 % (3302311)------------------------------
% 8.16/3.05 % (3302311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302311)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302311)Termination reason: Instruction limit
% 8.16/3.05 % (3302311)Termination phase: Saturation
% 8.16/3.05 % (3302311)Time elapsed: 0.062 s
% 8.16/3.05 % (3302311)Peak memory usage: 89 MB
% 8.16/3.05 % (3302311)Instructions burned: 128 (million)
% 8.16/3.05 % (3302313)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=374424699:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 8.16/3.05 % (3302313)Instruction limit reached!
% 8.16/3.05 % (3302313)------------------------------
% 8.16/3.05 % (3302313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302313)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302313)Termination reason: Instruction limit
% 8.16/3.05 % (3302313)Termination phase: Saturation
% 8.16/3.05 % (3302313)Time elapsed: 0.062 s
% 8.16/3.05 % (3302313)Peak memory usage: 89 MB
% 8.16/3.05 % (3302313)Instructions burned: 114 (million)
% 8.16/3.05 % (3302316)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=522813405:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.16/3.05 % (3302315)lrs+10_1_sil=8000:sp=occurrence:random_seed=426757613:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 8.16/3.05 % (3302316)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302316)------------------------------
% 8.16/3.05 % (3302316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302316)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302316)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302316)Time elapsed: 0.025 s
% 8.16/3.05 % (3302316)Peak memory usage: 89 MB
% 8.16/3.05 % (3302316)Instructions burned: 46 (million)
% 8.16/3.05 % (3302318)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3352883923:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.16/3.05 % (3302316)------------------------------
% 8.16/3.05 % (3302316)------------------------------
% 8.16/3.05 % (3302322)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1943872413:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 8.16/3.05 % (3302322)Instruction limit reached!
% 8.16/3.05 % (3302322)------------------------------
% 8.16/3.05 % (3302322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302322)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302322)Termination reason: Instruction limit
% 8.16/3.05 % (3302322)Termination phase: Saturation
% 8.16/3.05 % (3302322)Time elapsed: 0.070 s
% 8.16/3.05 % (3302322)Peak memory usage: 91 MB
% 8.16/3.05 % (3302322)Instructions burned: 134 (million)
% 8.16/3.05 % (3302315)Instruction limit reached!
% 8.16/3.05 % (3302315)------------------------------
% 8.16/3.05 % (3302315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302315)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302315)Termination reason: Instruction limit
% 8.16/3.05 % (3302315)Termination phase: Saturation
% 8.16/3.05 % (3302315)Time elapsed: 0.539 s
% 8.16/3.05 % (3302315)Peak memory usage: 98 MB
% 8.16/3.05 % (3302315)Instructions burned: 907 (million)
% 8.16/3.05 % (3302324)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1392582251:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 8.16/3.05 % (3302324)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302324)------------------------------
% 8.16/3.05 % (3302324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302324)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302324)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302324)Time elapsed: 0.015 s
% 8.16/3.05 % (3302324)Peak memory usage: 89 MB
% 8.16/3.05 % (3302324)Instructions burned: 26 (million)
% 8.16/3.05 % (3302325)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4233634656:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 8.16/3.05 % (3302286)First to succeed.
% 8.16/3.05 % (3302286)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3302279"
% 8.16/3.05 % (3302324)------------------------------
% 8.16/3.05 % (3302324)------------------------------
% 8.16/3.05 % (3302318)Also succeeded, but the first one will report.
% 8.16/3.05 % (3302328)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=18772670:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 8.16/3.05 % (3302328)Refutation not found, incomplete strategy
% 8.16/3.05 % (3302328)------------------------------
% 8.16/3.05 % (3302328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.16/3.05 % (3302328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.16/3.05 % (3302328)CaDiCaL version: 2.1.3
% 8.16/3.05 % (3302328)Termination reason: Refutation not found, incomplete strategy
% 8.16/3.05 % (3302328)Time elapsed: 0.005 s
% 8.16/3.05 % (3302328)Peak memory usage: 88 MB
% 8.16/3.05 % (3302328)Instructions burned: 7 (million)
% 8.16/3.05 % (3302286)Refutation found. Thanks to Tanya!
% 8.16/3.05 % SZS status Theorem for theBenchmark
% 8.16/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 15.90/3.23 % (3302286)------------------------------
% 15.90/3.23 % (3302286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.90/3.23 % (3302286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.90/3.23 % (3302286)CaDiCaL version: 2.1.3
% 15.90/3.23 % (3302286)Termination reason: Refutation
% 15.90/3.23 % (3302286)Time elapsed: 1.712 s
% 15.90/3.23 % (3302286)Peak memory usage: 150 MB
% 15.90/3.23 % (3302286)Instructions burned: 2842 (million)
% 15.90/3.23 % (3302286)------------------------------
% 15.90/3.23 % (3302286)------------------------------
% 15.90/3.23 % (3302279)Success in time 2.179 s
% 15.90/3.23 % Vampire exiting
%------------------------------------------------------------------------------