%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM785+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:17:00 PM UTC 2026
% Result : Theorem 16.34s 3.26s
% Output : Refutation 17.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 48
% Syntax : Number of formulae : 258 ( 52 unt; 26 def)
% Number of atoms : 606 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 600 ( 252 ~; 273 |; 28 &)
% ( 41 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 31 ( 29 usr; 27 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-2 aty)
% Number of variables : 126 ( 0 sgn 124 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1))
<=> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__lessis) ).
fof(f33,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
<=> pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__moreis) ).
fof(f47,axiom,
scratc704297836_rt_is = scratc1531184783d_e_is(scratc2019608805nd_rat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__is) ).
fof(f128,axiom,
scratc1049845144d_n_is = scratc1531184783d_e_is(scratc1986562785nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f175,axiom,
! [X0] : scratc1531184783d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f185,axiom,
! [X0] : scratc918593807d_l_or(X0) = aa_boo1142376798l_bool(scratc1946042444nd_imp,scratc1754433775_d_not(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f190,axiom,
! [X0] :
( pp(scratc1754433775_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f191,axiom,
scratc1946042444nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f222,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc512029345_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f224,axiom,
pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz81c) ).
fof(f226,axiom,
pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz82) ).
fof(f761,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__236) ).
fof(f763,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__238) ).
fof(f764,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__239) ).
fof(f812,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__287) ).
fof(f826,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
=> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__301) ).
fof(f827,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1))
=> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__302) ).
fof(f1265,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1266,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1268,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1271,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/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f1275,conjecture,
pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1276,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1275]) ).
fof(f1277,plain,
~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1276]) ).
fof(f1294,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc512029345_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1295,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc512029345_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1294]) ).
fof(f1370,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)) ) ),
inference(ennf_transformation,[],[f812]) ).
fof(f1384,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f826]) ).
fof(f1385,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f827]) ).
fof(f1621,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,[],[f1271]) ).
fof(f1622,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,[],[f1621]) ).
fof(f1623,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f1624,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f1688,plain,
! [X0] :
( ( pp(scratc1754433775_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X0),fFalse))
| ~ pp(scratc1754433775_d_not(X0)) ) ),
inference(nnf_transformation,[],[f190]) ).
fof(f1711,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc512029345_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc512029345_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1295]) ).
fof(f1712,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc512029345_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc512029345_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1)) ) ),
inference(rectify,[],[f1711]) ).
fof(f1713,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc512029345_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc512029345_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1712]) ).
fof(f1968,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) )
& ( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ) ),
inference(nnf_transformation,[],[f761]) ).
fof(f1970,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) )
& ( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ) ),
inference(nnf_transformation,[],[f763]) ).
fof(f1971,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f764]) ).
fof(f2034,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(nnf_transformation,[],[f1370]) ).
fof(f2035,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(flattening,[],[f2034]) ).
fof(f2062,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1)) ) )
& ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(nnf_transformation,[],[f1384]) ).
fof(f2063,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1)) ) )
& ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(flattening,[],[f2062]) ).
fof(f2064,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ) )
& ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1385]) ).
fof(f2065,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ) )
& ( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f2064]) ).
fof(f2670,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1623]) ).
fof(f2673,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc918593807d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) ),
inference(cnf_transformation,[],[f1624]) ).
fof(f2692,plain,
scratc704297836_rt_is = scratc1531184783d_e_is(scratc2019608805nd_rat),
inference(cnf_transformation,[],[f47]) ).
fof(f2805,plain,
scratc1049845144d_n_is = scratc1531184783d_e_is(scratc1986562785nd_nat),
inference(cnf_transformation,[],[f128]) ).
fof(f2869,plain,
! [X0] : scratc1531184783d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f175]) ).
fof(f2883,plain,
! [X0] : aa_boo1142376798l_bool(scratc1946042444nd_imp,scratc1754433775_d_not(X0)) = scratc918593807d_l_or(X0),
inference(cnf_transformation,[],[f185]) ).
fof(f2889,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X0),fFalse))
| ~ pp(scratc1754433775_d_not(X0)) ),
inference(cnf_transformation,[],[f1688]) ).
fof(f2890,plain,
! [X0] :
( pp(scratc1754433775_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1946042444nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1688]) ).
fof(f2891,plain,
scratc1946042444nd_imp = fimplies,
inference(cnf_transformation,[],[f191]) ).
fof(f2953,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc512029345_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f2954,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f2955,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| scratc512029345_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f2956,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1713]) ).
fof(f2959,plain,
pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cc)),
inference(cnf_transformation,[],[f224]) ).
fof(f2961,plain,
pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cg)),
inference(cnf_transformation,[],[f226]) ).
fof(f3761,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ),
inference(cnf_transformation,[],[f1968]) ).
fof(f3765,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(cnf_transformation,[],[f1970]) ).
fof(f3768,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f1971]) ).
fof(f3876,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ),
inference(cnf_transformation,[],[f2035]) ).
fof(f3918,plain,
! [X0,X1] :
( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ),
inference(cnf_transformation,[],[f2063]) ).
fof(f3922,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ),
inference(cnf_transformation,[],[f2065]) ).
fof(f3923,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))) ),
inference(cnf_transformation,[],[f2065]) ).
fof(f5015,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f1265]) ).
fof(f5016,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1266]) ).
fof(f5018,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f1268]) ).
fof(f5021,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,[],[f1622]) ).
fof(f5025,plain,
~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1277]) ).
fof(f5027,plain,
! [X0] : scratc918593807d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(X0)),
inference(definition_unfolding,[],[f2883,f2891]) ).
fof(f5033,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,X0),X1)) ),
inference(definition_unfolding,[],[f2670,f5027]) ).
fof(f5034,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,X0),X1))) ),
inference(definition_unfolding,[],[f2673,f5027]) ).
fof(f5040,plain,
scratc704297836_rt_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2692,f2869]) ).
fof(f5098,plain,
scratc1049845144d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2805,f2869]) ).
fof(f5125,plain,
! [X0] :
( pp(scratc1754433775_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2890,f2891]) ).
fof(f5126,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1754433775_d_not(X0)) ),
inference(definition_unfolding,[],[f2889,f2891]) ).
fof(f5385,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f5387,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f5385]) ).
fof(f5388,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f5025,f5385]) ).
fof(f5389,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f5387,f2954]) ).
fof(f5390,plain,
( scratc512029345_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f5387,f2955]) ).
fof(f5391,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f5387,f2956]) ).
fof(f5404,definition,
( spl29_2
<=> scratc512029345_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f5406,plain,
( scratc512029345_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f5407,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f5390,f5385,f5404]) ).
fof(f5409,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f5406,f2953]) ).
fof(f5410,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f5409,f5389]) ).
fof(f5412,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f5413,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f5412]) ).
fof(f5414,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f5410,f5404,f5385,f5412]) ).
fof(f6338,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cc))
| pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(resolution,[],[f5413,f3765]) ).
fof(f6600,plain,
( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f6338,f2959]) ).
fof(f6721,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f6723,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f6721]) ).
fof(f6724,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f5389,f5385,f6721]) ).
fof(f6726,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f6728,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_5 ),
inference(avatar_component_clause,[],[f6726]) ).
fof(f6729,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f5391,f5385,f6726]) ).
fof(f6730,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_5 ),
inference(resolution,[],[f6728,f3768]) ).
fof(f6769,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f6771,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f6769]) ).
fof(f6772,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f6730,f6726,f6769]) ).
fof(f6774,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(resolution,[],[f6771,f2954]) ).
fof(f6775,plain,
( scratc512029345_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f6771,f2955]) ).
fof(f6776,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_6 ),
inference(resolution,[],[f6771,f2956]) ).
fof(f6789,definition,
( spl29_7
<=> scratc512029345_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f6791,plain,
( scratc512029345_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f6789]) ).
fof(f6792,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f6775,f6769,f6789]) ).
fof(f6794,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f6791,f2953]) ).
fof(f6795,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f6794,f6774]) ).
fof(f6797,definition,
( spl29_8
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f6798,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),X0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f6797]) ).
fof(f6799,plain,
( spl29_8
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f6795,f6789,f6769,f6797]) ).
fof(f7725,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aTP_Lamm_cg))
| pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(resolution,[],[f6798,f3761]) ).
fof(f7983,plain,
( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f7725,f2961]) ).
fof(f8106,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f8108,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_9 ),
inference(avatar_component_clause,[],[f8106]) ).
fof(f8109,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f6776,f6769,f8106]) ).
fof(f8110,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_9 ),
inference(resolution,[],[f8108,f3922]) ).
fof(f8111,plain,
( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_9 ),
inference(resolution,[],[f8108,f3923]) ).
fof(f8158,definition,
( spl29_10
<=> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f8160,plain,
( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_10 ),
inference(avatar_component_clause,[],[f8158]) ).
fof(f8161,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f8111,f8106,f8158]) ).
fof(f8164,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_10 ),
inference(resolution,[],[f8160,f5125]) ).
fof(f8173,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),X0))
| spl29_10 ),
inference(resolution,[],[f8160,f5018]) ).
fof(f8177,definition,
( spl29_11
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f8179,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_11 ),
inference(avatar_component_clause,[],[f8177]) ).
fof(f8180,plain,
( ~ spl29_11
| spl29_10 ),
inference(avatar_split_clause,[],[f8164,f8158,f8177]) ).
fof(f8182,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_11 ),
inference(resolution,[],[f8179,f5018]) ).
fof(f8197,definition,
( spl29_12
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f8199,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f8197]) ).
fof(f8200,plain,
( spl29_12
| spl29_6 ),
inference(avatar_split_clause,[],[f6774,f6769,f8197]) ).
fof(f8276,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_12 ),
inference(resolution,[],[f8199,f5021]) ).
fof(f8294,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_12 ),
inference(forward_demodulation,[],[f8276,f5098]) ).
fof(f8390,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f8392,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1816762405lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f8390]) ).
fof(f8393,plain,
( spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f8110,f8106,f8390]) ).
fof(f8395,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_15 ),
inference(resolution,[],[f8392,f5033]) ).
fof(f8428,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_15 ),
inference(forward_demodulation,[],[f8395,f5040]) ).
fof(f8429,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_15 ),
inference(forward_demodulation,[],[f8428,f5098]) ).
fof(f8431,definition,
( spl29_16
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f8433,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f8431]) ).
fof(f8434,plain,
( spl29_16
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f8429,f8390,f8431]) ).
fof(f8435,plain,
( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_16 ),
inference(resolution,[],[f8433,f5016]) ).
fof(f8516,definition,
( spl29_18
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f8518,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f8516]) ).
fof(f8519,plain,
( spl29_18
| spl29_11 ),
inference(avatar_split_clause,[],[f8182,f8177,f8516]) ).
fof(f8521,definition,
( spl29_19
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f8523,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_19 ),
inference(avatar_component_clause,[],[f8521]) ).
fof(f8525,definition,
( spl29_20
<=> pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f8526,plain,
( pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f8525]) ).
fof(f8527,plain,
( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f8525]) ).
fof(f8528,plain,
( spl29_19
| ~ spl29_20
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f8435,f8431,f8525,f8521]) ).
fof(f8529,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_20 ),
inference(resolution,[],[f8527,f3918]) ).
fof(f8544,definition,
( spl29_21
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f8545,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f8544]) ).
fof(f8546,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_21 ),
inference(avatar_component_clause,[],[f8544]) ).
fof(f8548,plain,
( ~ pp(scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_21 ),
inference(resolution,[],[f8546,f5126]) ).
fof(f8564,definition,
( spl29_22
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f8566,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_22 ),
inference(avatar_component_clause,[],[f8564]) ).
fof(f8568,definition,
( spl29_23
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f8570,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1950746017moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_23 ),
inference(avatar_component_clause,[],[f8568]) ).
fof(f8571,plain,
( ~ spl29_22
| ~ spl29_23
| spl29_20 ),
inference(avatar_split_clause,[],[f8529,f8525,f8568,f8564]) ).
fof(f8580,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_8
| spl29_22 ),
inference(resolution,[],[f8566,f6798]) ).
fof(f8619,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_22 ),
inference(forward_subsumption_resolution,[],[f8580,f6600]) ).
fof(f8620,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_22 ),
inference(avatar_contradiction_clause,[],[f8619]) ).
fof(f8622,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1754433775_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc704297836_rt_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_23 ),
inference(resolution,[],[f8570,f5034]) ).
fof(f8668,plain,
( $false
| spl29_10
| spl29_23 ),
inference(forward_subsumption_resolution,[],[f8622,f8173]) ).
fof(f8669,plain,
( spl29_10
| spl29_23 ),
inference(avatar_contradiction_clause,[],[f8668]) ).
fof(f8670,plain,
( $false
| ~ spl29_20
| spl29_21 ),
inference(forward_subsumption_resolution,[],[f8548,f8526]) ).
fof(f8671,plain,
( ~ spl29_20
| spl29_21 ),
inference(avatar_contradiction_clause,[],[f8670]) ).
fof(f8685,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| pp(fFalse)
| ~ spl29_21 ),
inference(resolution,[],[f8545,f5016]) ).
fof(f8696,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f8685,f5015]) ).
fof(f8698,definition,
( spl29_24
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f8700,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc480148315t_less,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_24 ),
inference(avatar_component_clause,[],[f8698]) ).
fof(f8701,plain,
( ~ spl29_24
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f8696,f8544,f8698]) ).
fof(f8703,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_24 ),
inference(resolution,[],[f8700,f3876]) ).
fof(f8896,definition,
( spl29_28
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition]) ).
fof(f8897,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1049845144d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_28 ),
inference(avatar_component_clause,[],[f8896]) ).
fof(f8898,plain,
( spl29_28
| ~ spl29_12 ),
inference(avatar_split_clause,[],[f8294,f8197,f8896]) ).
fof(f9206,definition,
( spl29_46
<=> pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_46])],[avatar_definition]) ).
fof(f9208,plain,
( pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_46 ),
inference(avatar_component_clause,[],[f9206]) ).
fof(f9209,plain,
( spl29_46
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f7983,f6797,f9206]) ).
fof(f9256,definition,
( spl29_49
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_49])],[avatar_definition]) ).
fof(f9258,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_49 ),
inference(avatar_component_clause,[],[f9256]) ).
fof(f9260,definition,
( spl29_50
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_50])],[avatar_definition]) ).
fof(f9262,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_50 ),
inference(avatar_component_clause,[],[f9260]) ).
fof(f9263,plain,
( ~ spl29_49
| ~ spl29_50
| spl29_24 ),
inference(avatar_split_clause,[],[f8703,f8698,f9260,f9256]) ).
fof(f9272,plain,
( ~ pp(aa_fun171081125l_bool(scratc334722680all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_3
| spl29_49 ),
inference(resolution,[],[f9258,f5413]) ).
fof(f9312,plain,
( $false
| ~ spl29_3
| ~ spl29_46
| spl29_49 ),
inference(forward_subsumption_resolution,[],[f9272,f9208]) ).
fof(f9313,plain,
( ~ spl29_3
| ~ spl29_46
| spl29_49 ),
inference(avatar_contradiction_clause,[],[f9312]) ).
fof(f9380,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl29_19
| ~ spl29_28 ),
inference(resolution,[],[f8897,f8523]) ).
fof(f9448,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_4
| ~ spl29_19
| ~ spl29_28 ),
inference(forward_subsumption_resolution,[],[f9380,f6723]) ).
fof(f9450,definition,
( spl29_52
<=> sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_52])],[avatar_definition]) ).
fof(f9452,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_52 ),
inference(avatar_component_clause,[],[f9450]) ).
fof(f9453,plain,
( spl29_52
| ~ spl29_4
| ~ spl29_19
| ~ spl29_28 ),
inference(avatar_split_clause,[],[f9448,f8896,f8521,f6721,f9450]) ).
fof(f9465,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_18
| ~ spl29_52 ),
inference(superposition,[],[f8518,f9452]) ).
fof(f9483,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1343284951t_more,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_50
| ~ spl29_52 ),
inference(superposition,[],[f9262,f9452]) ).
fof(f9488,plain,
( $false
| ~ spl29_18
| spl29_50
| ~ spl29_52 ),
inference(forward_subsumption_resolution,[],[f9465,f9483]) ).
fof(f9489,plain,
( ~ spl29_18
| spl29_50
| ~ spl29_52 ),
inference(avatar_contradiction_clause,[],[f9488]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f5388]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f5407]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f5414]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f6724]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f6729]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f6772]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f6792]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_7
| spl29_8 ),
inference(sat_conversion,[],[f6799]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f8109]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f8161]) ).
cnf(s11,plain,
( spl29_10
| ~ spl29_11 ),
inference(sat_conversion,[],[f8180]) ).
cnf(s12,plain,
( spl29_6
| spl29_12 ),
inference(sat_conversion,[],[f8200]) ).
cnf(s15,plain,
( spl29_9
| spl29_15 ),
inference(sat_conversion,[],[f8393]) ).
cnf(s16,plain,
( ~ spl29_15
| spl29_16 ),
inference(sat_conversion,[],[f8434]) ).
cnf(s18,plain,
( spl29_11
| spl29_18 ),
inference(sat_conversion,[],[f8519]) ).
cnf(s19,plain,
( ~ spl29_16
| spl29_19
| ~ spl29_20 ),
inference(sat_conversion,[],[f8528]) ).
cnf(s21,plain,
( spl29_20
| ~ spl29_22
| ~ spl29_23 ),
inference(sat_conversion,[],[f8571]) ).
cnf(s22,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_22 ),
inference(sat_conversion,[],[f8620]) ).
cnf(s23,plain,
( spl29_10
| spl29_23 ),
inference(sat_conversion,[],[f8669]) ).
cnf(s24,plain,
( ~ spl29_20
| spl29_21 ),
inference(sat_conversion,[],[f8671]) ).
cnf(s25,plain,
( ~ spl29_21
| ~ spl29_24 ),
inference(sat_conversion,[],[f8701]) ).
cnf(s29,plain,
( ~ spl29_12
| spl29_28 ),
inference(sat_conversion,[],[f8898]) ).
cnf(s47,plain,
( ~ spl29_8
| spl29_46 ),
inference(sat_conversion,[],[f9209]) ).
cnf(s50,plain,
( spl29_24
| ~ spl29_49
| ~ spl29_50 ),
inference(sat_conversion,[],[f9263]) ).
cnf(s51,plain,
( ~ spl29_3
| ~ spl29_46
| spl29_49 ),
inference(sat_conversion,[],[f9313]) ).
cnf(s53,plain,
( ~ spl29_4
| ~ spl29_19
| ~ spl29_28
| spl29_52 ),
inference(sat_conversion,[],[f9453]) ).
cnf(s54,plain,
( ~ spl29_18
| spl29_50
| ~ spl29_52 ),
inference(sat_conversion,[],[f9489]) ).
cnf(s55,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s56,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s57,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s59,plain,
~ spl29_6,
inference(rat,[],[s6,s55]) ).
cnf(s62,plain,
spl29_3,
inference(rat,[],[s3,s1,s57]) ).
cnf(s64,plain,
spl29_12,
inference(rat,[],[s12,s59]) ).
cnf(s65,plain,
~ spl29_9,
inference(rat,[],[s9,s59]) ).
cnf(s66,plain,
spl29_7,
inference(rat,[],[s7,s59]) ).
cnf(s76,plain,
spl29_28,
inference(rat,[],[s29,s64]) ).
cnf(s78,plain,
spl29_15,
inference(rat,[],[s15,s65]) ).
cnf(s80,plain,
~ spl29_10,
inference(rat,[],[s10,s65]) ).
cnf(s81,plain,
spl29_8,
inference(rat,[],[s8,s59,s66]) ).
cnf(s82,plain,
spl29_16,
inference(rat,[],[s16,s78]) ).
cnf(s83,plain,
spl29_23,
inference(rat,[],[s23,s80]) ).
cnf(s84,plain,
~ spl29_11,
inference(rat,[],[s11,s80]) ).
cnf(s86,plain,
spl29_46,
inference(rat,[],[s47,s81]) ).
cnf(s93,plain,
spl29_22,
inference(rat,[],[s22,s62,s81]) ).
cnf(s95,plain,
spl29_18,
inference(rat,[],[s18,s84]) ).
cnf(s96,plain,
spl29_49,
inference(rat,[],[s51,s62,s86]) ).
cnf(s97,plain,
spl29_20,
inference(rat,[],[s21,s83,s93]) ).
cnf(s98,plain,
spl29_21,
inference(rat,[],[s24,s97]) ).
cnf(s99,plain,
spl29_19,
inference(rat,[],[s19,s82,s97]) ).
cnf(s100,plain,
~ spl29_24,
inference(rat,[],[s25,s98]) ).
cnf(s101,plain,
spl29_52,
inference(rat,[],[s53,s76,s56,s99]) ).
cnf(s102,plain,
~ spl29_50,
inference(rat,[],[s50,s96,s100]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s54,s95,s101,s102]) ).
fof(f9490,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM785+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.37 % Computer : n009.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 21:23:30 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.24/2.31 % (2407623)Detected formulas, will run a generic FOF schedule.
% 10.24/2.31 % (2407634)dis-21_1_sil=8000:lcm=predicate:random_seed=606501282:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.24/2.31 % (2407634)Instruction limit reached!
% 10.24/2.31 % (2407634)------------------------------
% 10.24/2.31 % (2407634)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.31 % (2407634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.31 % (2407634)CaDiCaL version: 2.1.3
% 10.24/2.31 % (2407634)Termination reason: Instruction limit
% 10.24/2.31 % (2407634)Termination phase: Saturation
% 10.24/2.31 % (2407634)Time elapsed: 0.032 s
% 10.24/2.31 % (2407634)Peak memory usage: 90 MB
% 10.24/2.31 % (2407634)Instructions burned: 131 (million)
% 10.24/2.31 % (2407628)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=2936176283:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.24/2.31 % (2407633)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4290872472:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.24/2.31 % (2407630)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=515159241:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.24/2.31 % (2407631)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1394754665:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.24/2.31 % (2407629)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=3649771183:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.24/2.31 % (2407631)Refutation not found, incomplete strategy
% 10.24/2.31 % (2407631)------------------------------
% 10.24/2.31 % (2407631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.31 % (2407631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.31 % (2407631)CaDiCaL version: 2.1.3
% 10.24/2.31 % (2407631)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.31 % (2407631)Time elapsed: 0.004 s
% 10.24/2.31 % (2407631)Peak memory usage: 89 MB
% 10.24/2.31 % (2407631)Instructions burned: 6 (million)
% 10.24/2.31 % (2407632)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=491711327:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.24/2.31 % (2407632)Refutation not found, incomplete strategy
% 10.24/2.31 % (2407632)------------------------------
% 10.24/2.31 % (2407632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.31 % (2407632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.31 % (2407632)CaDiCaL version: 2.1.3
% 10.24/2.31 % (2407632)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.31 % (2407632)Time elapsed: 0.005 s
% 10.24/2.31 % (2407632)Peak memory usage: 89 MB
% 10.24/2.31 % (2407632)Instructions burned: 7 (million)
% 10.24/2.31 % (2407633)Instruction limit reached!
% 10.24/2.31 % (2407633)------------------------------
% 10.24/2.31 % (2407633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.31 % (2407633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.31 % (2407633)CaDiCaL version: 2.1.3
% 10.24/2.31 % (2407633)Termination reason: Instruction limit
% 10.24/2.31 % (2407633)Termination phase: Saturation
% 10.24/2.31 % (2407633)Time elapsed: 0.061 s
% 10.24/2.31 % (2407633)Peak memory usage: 91 MB
% 10.24/2.31 % (2407633)Instructions burned: 140 (million)
% 10.24/2.31 % (2407641)lrs+10_1_sil=8000:sp=occurrence:random_seed=1707992027:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.24/2.31 % (2407641)Refutation not found, incomplete strategy
% 10.24/2.31 % (2407641)------------------------------
% 10.24/2.31 % (2407641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.24/2.31 % (2407641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.24/2.31 % (2407641)CaDiCaL version: 2.1.3
% 10.24/2.31 % (2407641)Termination reason: Refutation not found, incomplete strategy
% 10.24/2.31 % (2407641)Time elapsed: 0.003 s
% 10.24/2.31 % (2407641)Peak memory usage: 89 MB
% 10.24/2.31 % (2407641)Instructions burned: 6 (million)
% 10.24/2.31 % (2407643)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3398075534:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.18/3.20 % (2407643)Refutation not found, incomplete strategy
% 16.18/3.20 % (2407643)------------------------------
% 16.18/3.20 % (2407643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.20 % (2407643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.20 % (2407643)CaDiCaL version: 2.1.3
% 16.18/3.20 % (2407643)Termination reason: Refutation not found, incomplete strategy
% 16.18/3.20 % (2407643)Time elapsed: 0.010 s
% 16.18/3.20 % (2407643)Peak memory usage: 89 MB
% 16.18/3.20 % (2407643)Instructions burned: 21 (million)
% 16.18/3.20 % (2407631)------------------------------
% 16.18/3.20 % (2407631)------------------------------
% 16.18/3.20 % (2407632)------------------------------
% 16.18/3.20 % (2407632)------------------------------
% 16.18/3.20 % (2407641)------------------------------
% 16.18/3.20 % (2407641)------------------------------
% 16.18/3.20 % (2407646)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3116903758:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.18/3.20 % (2407648)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2287055782:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 16.18/3.20 % (2407648)Refutation not found, incomplete strategy
% 16.18/3.20 % (2407648)------------------------------
% 16.18/3.20 % (2407648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.20 % (2407648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.20 % (2407648)CaDiCaL version: 2.1.3
% 16.18/3.20 % (2407648)Termination reason: Refutation not found, incomplete strategy
% 16.18/3.20 % (2407648)Time elapsed: 0.005 s
% 16.18/3.20 % (2407648)Peak memory usage: 90 MB
% 16.18/3.20 % (2407648)Instructions burned: 15 (million)
% 16.18/3.20 % (2407646)Refutation not found, incomplete strategy
% 16.18/3.20 % (2407646)------------------------------
% 16.18/3.20 % (2407646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.20 % (2407646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.20 % (2407646)CaDiCaL version: 2.1.3
% 16.18/3.20 % (2407646)Termination reason: Refutation not found, incomplete strategy
% 16.18/3.20 % (2407646)Time elapsed: 0.009 s
% 16.18/3.20 % (2407646)Peak memory usage: 90 MB
% 16.18/3.20 % (2407646)Instructions burned: 12 (million)
% 16.18/3.20 % (2407647)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=644237168:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.18/3.20 % (2407643)------------------------------
% 16.18/3.20 % (2407643)------------------------------
% 16.18/3.20 % (2407647)Instruction limit reached!
% 16.18/3.20 % (2407647)------------------------------
% 16.18/3.20 % (2407647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.20 % (2407647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.20 % (2407647)CaDiCaL version: 2.1.3
% 16.18/3.20 % (2407647)Termination reason: Instruction limit
% 16.18/3.20 % (2407647)Termination phase: Saturation
% 16.18/3.20 % (2407647)Time elapsed: 0.132 s
% 16.18/3.20 % (2407647)Peak memory usage: 93 MB
% 16.18/3.20 % (2407647)Instructions burned: 248 (million)
% 16.18/3.20 % (2407648)------------------------------
% 16.18/3.20 % (2407648)------------------------------
% 16.18/3.20 % (2407652)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3158589630:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.18/3.20 % (2407654)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=406834120:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.18/3.20 % (2407646)------------------------------
% 16.18/3.20 % (2407646)------------------------------
% 16.18/3.20 % (2407654)Instruction limit reached!
% 16.18/3.20 % (2407654)------------------------------
% 16.18/3.20 % (2407654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.18/3.20 % (2407654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.18/3.20 % (2407654)CaDiCaL version: 2.1.3
% 16.18/3.20 % (2407654)Termination reason: Instruction limit
% 16.18/3.20 % (2407654)Termination phase: Property scanning
% 16.18/3.20 % (2407654)Time elapsed: 0.033 s
% 16.18/3.20 % (2407654)Peak memory usage: 89 MB
% 16.18/3.20 % (2407654)Instructions burned: 131 (million)
% 16.18/3.20 % (2407653)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3274830278:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.34/3.26 % (2407653)Instruction limit reached!
% 16.34/3.26 % (2407653)------------------------------
% 16.34/3.26 % (2407653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407653)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407653)Termination reason: Instruction limit
% 16.34/3.26 % (2407653)Termination phase: Saturation
% 16.34/3.26 % (2407653)Time elapsed: 0.057 s
% 16.34/3.26 % (2407653)Peak memory usage: 90 MB
% 16.34/3.26 % (2407653)Instructions burned: 114 (million)
% 16.34/3.26 % (2407658)lrs+10_1_sil=8000:sp=occurrence:random_seed=1503002865:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 16.34/3.26 % (2407657)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3402194646:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 16.34/3.26 % (2407657)Instruction limit reached!
% 16.34/3.26 % (2407657)------------------------------
% 16.34/3.26 % (2407657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407657)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407657)Termination reason: Instruction limit
% 16.34/3.26 % (2407657)Termination phase: Saturation
% 16.34/3.26 % (2407657)Time elapsed: 0.059 s
% 16.34/3.26 % (2407657)Peak memory usage: 90 MB
% 16.34/3.26 % (2407657)Instructions burned: 114 (million)
% 16.34/3.26 % (2407660)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3823914335:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 16.34/3.26 % (2407660)Refutation not found, incomplete strategy
% 16.34/3.26 % (2407660)------------------------------
% 16.34/3.26 % (2407660)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407660)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407660)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407660)Termination reason: Refutation not found, incomplete strategy
% 16.34/3.26 % (2407660)Time elapsed: 0.094 s
% 16.34/3.26 % (2407660)Peak memory usage: 93 MB
% 16.34/3.26 % (2407660)Instructions burned: 191 (million)
% 16.34/3.26 % (2407663)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=560119602:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 16.34/3.26 % (2407658)Instruction limit reached!
% 16.34/3.26 % (2407658)------------------------------
% 16.34/3.26 % (2407658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407658)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407658)Termination reason: Instruction limit
% 16.34/3.26 % (2407658)Termination phase: Saturation
% 16.34/3.26 % (2407658)Time elapsed: 0.292 s
% 16.34/3.26 % (2407658)Peak memory usage: 102 MB
% 16.34/3.26 % (2407658)Instructions burned: 908 (million)
% 16.34/3.26 % (2407666)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=970767350:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 16.34/3.26 % (2407666)Instruction limit reached!
% 16.34/3.26 % (2407666)------------------------------
% 16.34/3.26 % (2407666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407666)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407666)Termination reason: Instruction limit
% 16.34/3.26 % (2407666)Termination phase: Saturation
% 16.34/3.26 % (2407666)Time elapsed: 0.033 s
% 16.34/3.26 % (2407666)Peak memory usage: 91 MB
% 16.34/3.26 % (2407666)Instructions burned: 135 (million)
% 16.34/3.26 % (2407660)------------------------------
% 16.34/3.26 % (2407660)------------------------------
% 16.34/3.26 % (2407668)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4100946134:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 16.34/3.26 % (2407668)Refutation not found, incomplete strategy
% 16.34/3.26 % (2407668)------------------------------
% 16.34/3.26 % (2407668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407668)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407668)Termination reason: Refutation not found, incomplete strategy
% 16.34/3.26 % (2407668)Time elapsed: 0.011 s
% 16.34/3.26 % (2407668)Peak memory usage: 90 MB
% 16.34/3.26 % (2407668)Instructions burned: 39 (million)
% 16.34/3.26 % (2407669)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=116046035:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 16.34/3.26 % (2407668)------------------------------
% 16.34/3.26 % (2407668)------------------------------
% 16.34/3.26 % (2407672)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=2598026516:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 16.34/3.26 % (2407672)Instruction limit reached!
% 16.34/3.26 % (2407672)------------------------------
% 16.34/3.26 % (2407672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407672)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407672)Termination reason: Instruction limit
% 16.34/3.26 % (2407672)Termination phase: Saturation
% 16.34/3.26 % (2407672)Time elapsed: 0.038 s
% 16.34/3.26 % (2407672)Peak memory usage: 92 MB
% 16.34/3.26 % (2407672)Instructions burned: 129 (million)
% 16.34/3.26 % (2407674)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2741977439:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 16.34/3.26 % (2407674)Instruction limit reached!
% 16.34/3.26 % (2407674)------------------------------
% 16.34/3.26 % (2407674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407674)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407674)Termination reason: Instruction limit
% 16.34/3.26 % (2407674)Termination phase: Twee Goal Transformation
% 16.34/3.26 % (2407674)Time elapsed: 0.034 s
% 16.34/3.26 % (2407674)Peak memory usage: 91 MB
% 16.34/3.26 % (2407674)Instructions burned: 135 (million)
% 16.34/3.26 % (2407676)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3203873302:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/141Mi)
% 16.34/3.26 % (2407676)Refutation not found, incomplete strategy
% 16.34/3.26 % (2407676)------------------------------
% 16.34/3.26 % (2407676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407676)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407676)Termination reason: Refutation not found, incomplete strategy
% 16.34/3.26 % (2407676)Time elapsed: 0.003 s
% 16.34/3.26 % (2407676)Peak memory usage: 89 MB
% 16.34/3.26 % (2407676)Instructions burned: 6 (million)
% 16.34/3.26 % (2407676)------------------------------
% 16.34/3.26 % (2407676)------------------------------
% 16.34/3.26 % (2407630)First to succeed.
% 16.34/3.26 % (2407630)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2407623"
% 16.34/3.26 % (2407678)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2256948300:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2978 on theBenchmark for (2978ds/431Mi)
% 16.34/3.26 % (2407652)Instruction limit reached!
% 16.34/3.26 % (2407652)------------------------------
% 16.34/3.26 % (2407652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407652)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407652)Termination reason: Instruction limit
% 16.34/3.26 % (2407652)Termination phase: Saturation
% 16.34/3.26 % (2407652)Time elapsed: 1.411 s
% 16.34/3.26 % (2407652)Peak memory usage: 169 MB
% 16.34/3.26 % (2407652)Instructions burned: 2350 (million)
% 16.34/3.26 % (2407678)Refutation not found, incomplete strategy
% 16.34/3.26 % (2407678)------------------------------
% 16.34/3.26 % (2407678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.34/3.26 % (2407678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.34/3.26 % (2407678)CaDiCaL version: 2.1.3
% 16.34/3.26 % (2407678)Termination reason: Refutation not found, incomplete strategy
% 16.34/3.26 % (2407678)Time elapsed: 0.003 s
% 16.34/3.26 % (2407678)Peak memory usage: 90 MB
% 16.34/3.26 % (2407678)Instructions burned: 6 (million)
% 16.34/3.26 % (2407678)------------------------------
% 16.34/3.26 % (2407678)------------------------------
% 16.34/3.26 % (2407680)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=1458874460:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 16.34/3.26 % (2407663)Also succeeded, but the first one will report.
% 16.34/3.26 % (2407630)Refutation found. Thanks to Tanya!
% 16.34/3.26 % SZS status Theorem for theBenchmark
% 16.34/3.26 % SZS output start Proof for theBenchmark
% See solution above
% 17.22/3.36 % (2407630)------------------------------
% 17.22/3.36 % (2407630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.36 % (2407630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.36 % (2407630)CaDiCaL version: 2.1.3
% 17.22/3.36 % (2407630)Termination reason: Refutation
% 17.22/3.36 % (2407630)Time elapsed: 1.954 s
% 17.22/3.36 % (2407630)Peak memory usage: 160 MB
% 17.22/3.36 % (2407630)Instructions burned: 3375 (million)
% 17.22/3.36 % (2407630)------------------------------
% 17.22/3.36 % (2407630)------------------------------
% 17.22/3.36 % (2407623)Success in time 2.419 s
% 17.22/3.36 % Vampire exiting
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