%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM796+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 : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:05 PM UTC 2026
% Result : Theorem 80.12s 14.09s
% Output : Refutation 93.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 65
% Syntax : Number of formulae : 351 ( 64 unt; 40 def)
% Number of atoms : 838 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 831 ( 344 ~; 382 |; 36 &)
% ( 61 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 45 ( 43 usr; 41 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 17 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn 203 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X0),X1))
<=> pp(aa_bool_bool(scratc2144278073d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__lessis) ).
fof(f50,axiom,
scratc431198402_rt_is = scratc609385401d_e_is(scratc1284879119nd_rat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__is) ).
fof(f131,axiom,
scratc128045762d_n_is = scratc609385401d_e_is(scratc1251833099nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f178,axiom,
! [X0] : scratc609385401d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f188,axiom,
! [X0] : scratc2144278073d_l_or(X0) = aa_boo1142376798l_bool(scratc1211312758nd_imp,scratc1481334341_d_not(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f193,axiom,
! [X0] :
( pp(scratc1481334341_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1211312758nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f194,axiom,
scratc1211312758nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f225,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc238929911_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f230,axiom,
pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_cu)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz98a) ).
fof(f238,axiom,
pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_dt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz96c) ).
fof(f825,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_dt,X0))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__261) ).
fof(f833,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__269) ).
fof(f837,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__273) ).
fof(f1099,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__535) ).
fof(f1107,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__543) ).
fof(f1111,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__547) ).
fof(f1172,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__608) ).
fof(f1300,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__736) ).
fof(f1304,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__740) ).
fof(f1329,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__765) ).
fof(f1330,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__766) ).
fof(f1408,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(f1410,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(f1413,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(f1417,conjecture,
pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1418,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f1417]) ).
fof(f1419,plain,
~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f1418]) ).
fof(f1436,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc238929911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f225]) ).
fof(f1437,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc238929911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1436]) ).
fof(f1594,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) ),
inference(ennf_transformation,[],[f1172]) ).
fof(f1682,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) ),
inference(ennf_transformation,[],[f1329]) ).
fof(f1683,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) ),
inference(flattening,[],[f1682]) ).
fof(f1684,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) ),
inference(ennf_transformation,[],[f1330]) ).
fof(f1685,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) ),
inference(flattening,[],[f1684]) ).
fof(f1805,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,[],[f1413]) ).
fof(f1806,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,[],[f1805]) ).
fof(f1807,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc2144278073d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc2144278073d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f1872,plain,
! [X0] :
( ( pp(scratc1481334341_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1211312758nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1211312758nd_imp,X0),fFalse))
| ~ pp(scratc1481334341_d_not(X0)) ) ),
inference(nnf_transformation,[],[f193]) ).
fof(f1895,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc238929911_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc238929911_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1437]) ).
fof(f1896,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc238929911_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc238929911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1)) ) ),
inference(rectify,[],[f1895]) ).
fof(f1897,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc238929911_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc238929911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1896]) ).
fof(f2177,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dt,X0))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dt,X0)) ) ),
inference(nnf_transformation,[],[f825]) ).
fof(f2185,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0)) ) ),
inference(nnf_transformation,[],[f833]) ).
fof(f2189,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f837]) ).
fof(f2503,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,X0),X1)) ) ),
inference(nnf_transformation,[],[f1099]) ).
fof(f2511,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1)) ) ),
inference(nnf_transformation,[],[f1107]) ).
fof(f2515,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1)) ) ),
inference(nnf_transformation,[],[f1111]) ).
fof(f2607,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1594]) ).
fof(f2608,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2)) ) ),
inference(flattening,[],[f2607]) ).
fof(f2790,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1300]) ).
fof(f2794,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1304]) ).
fof(f2827,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1683]) ).
fof(f2828,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2827]) ).
fof(f2829,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1685]) ).
fof(f2830,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2829]) ).
fof(f2988,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc2144278073d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1807]) ).
fof(f3010,plain,
scratc431198402_rt_is = scratc609385401d_e_is(scratc1284879119nd_rat),
inference(cnf_transformation,[],[f50]) ).
fof(f3123,plain,
scratc128045762d_n_is = scratc609385401d_e_is(scratc1251833099nd_nat),
inference(cnf_transformation,[],[f131]) ).
fof(f3187,plain,
! [X0] : scratc609385401d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f178]) ).
fof(f3201,plain,
! [X0] : aa_boo1142376798l_bool(scratc1211312758nd_imp,scratc1481334341_d_not(X0)) = scratc2144278073d_l_or(X0),
inference(cnf_transformation,[],[f188]) ).
fof(f3208,plain,
! [X0] :
( pp(scratc1481334341_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1211312758nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1872]) ).
fof(f3209,plain,
scratc1211312758nd_imp = fimplies,
inference(cnf_transformation,[],[f194]) ).
fof(f3271,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc238929911_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1897]) ).
fof(f3272,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1897]) ).
fof(f3273,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| scratc238929911_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1897]) ).
fof(f3274,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1897]) ).
fof(f3280,plain,
pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_cu)),
inference(cnf_transformation,[],[f230]) ).
fof(f3288,plain,
pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_dt)),
inference(cnf_transformation,[],[f238]) ).
fof(f4165,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dt,X0)) ),
inference(cnf_transformation,[],[f2177]) ).
fof(f4181,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cu,X0)) ),
inference(cnf_transformation,[],[f2185]) ).
fof(f4190,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f2189]) ).
fof(f4763,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ds,X0),X1)) ),
inference(cnf_transformation,[],[f2503]) ).
fof(f4779,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,X0),X1)) ),
inference(cnf_transformation,[],[f2511]) ).
fof(f4788,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f2515]) ).
fof(f4945,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2608]) ).
fof(f5272,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2790]) ).
fof(f5281,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f2794]) ).
fof(f5348,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1)) ),
inference(cnf_transformation,[],[f2828]) ).
fof(f5349,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X2),X3)) ),
inference(cnf_transformation,[],[f2828]) ).
fof(f5350,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3))) ),
inference(cnf_transformation,[],[f2828]) ).
fof(f5351,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f2830]) ).
fof(f5616,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1408]) ).
fof(f5618,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f5621,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,[],[f1806]) ).
fof(f5625,plain,
~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f1419]) ).
fof(f5627,plain,
! [X0] : scratc2144278073d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(X0)),
inference(definition_unfolding,[],[f3201,f3209]) ).
fof(f5633,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,X0),X1)) ),
inference(definition_unfolding,[],[f2988,f5627]) ).
fof(f5640,plain,
scratc431198402_rt_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f3010,f3187]) ).
fof(f5698,plain,
scratc128045762d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f3123,f3187]) ).
fof(f5725,plain,
! [X0] :
( pp(scratc1481334341_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f3208,f3209]) ).
fof(f5985,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f5987,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_ad))
| spl29_1 ),
inference(avatar_component_clause,[],[f5985]) ).
fof(f5988,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f5625,f5985]) ).
fof(f5989,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| spl29_1 ),
inference(resolution,[],[f5987,f3272]) ).
fof(f5990,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f5987,f3273]) ).
fof(f5991,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_1 ),
inference(resolution,[],[f5987,f3274]) ).
fof(f6004,definition,
( spl29_2
<=> scratc238929911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f6006,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f6004]) ).
fof(f6007,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f5990,f5985,f6004]) ).
fof(f6009,definition,
( spl29_3
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f6011,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f6009]) ).
fof(f6012,plain,
( spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f5989,f5985,f6009]) ).
fof(f6014,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f6006,f3271]) ).
fof(f6015,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f6014,f6011]) ).
fof(f6017,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f6018,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f6017]) ).
fof(f6019,plain,
( spl29_4
| ~ spl29_2
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f6015,f6009,f6004,f6017]) ).
fof(f7064,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_cu))
| pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(resolution,[],[f6018,f4181]) ).
fof(f7072,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aTP_Lamm_dt))
| pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(resolution,[],[f6018,f4165]) ).
fof(f7384,plain,
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f7072,f3288]) ).
fof(f7392,plain,
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f7064,f3280]) ).
fof(f7542,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f7544,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_5 ),
inference(avatar_component_clause,[],[f7542]) ).
fof(f7545,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f5991,f5985,f7542]) ).
fof(f7546,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_5 ),
inference(resolution,[],[f7544,f4190]) ).
fof(f7585,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f7587,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(avatar_component_clause,[],[f7585]) ).
fof(f7588,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f7546,f7542,f7585]) ).
fof(f7590,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(resolution,[],[f7587,f3272]) ).
fof(f7591,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f7587,f3273]) ).
fof(f7592,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_6 ),
inference(resolution,[],[f7587,f3274]) ).
fof(f7605,definition,
( spl29_7
<=> scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f7607,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f7605]) ).
fof(f7608,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f7591,f7585,f7605]) ).
fof(f7610,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f7612,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f7610]) ).
fof(f7613,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f7592,f7585,f7610]) ).
fof(f7614,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_8 ),
inference(resolution,[],[f7612,f4788]) ).
fof(f7660,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f7662,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f7660]) ).
fof(f7663,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f7614,f7610,f7660]) ).
fof(f7665,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_9 ),
inference(resolution,[],[f7662,f3272]) ).
fof(f7666,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f7662,f3273]) ).
fof(f7667,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_9 ),
inference(resolution,[],[f7662,f3274]) ).
fof(f7680,definition,
( spl29_10
<=> scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f7682,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f7680]) ).
fof(f7683,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f7666,f7660,f7680]) ).
fof(f7685,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f7682,f3271]) ).
fof(f7686,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f7685,f7665]) ).
fof(f7688,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f7607,f3271]) ).
fof(f7689,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f7688,f7590]) ).
fof(f7691,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f7692,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f7691]) ).
fof(f7693,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f7689,f7605,f7585,f7691]) ).
fof(f8498,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0)))
| pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) )
| ~ spl29_11 ),
inference(resolution,[],[f7692,f4763]) ).
fof(f9226,definition,
( spl29_14
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f9227,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f9226]) ).
fof(f9228,plain,
( spl29_14
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f7686,f7680,f7660,f9226]) ).
fof(f9410,definition,
( spl29_15
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f9412,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f9410]) ).
fof(f9413,plain,
( spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f7665,f7660,f9410]) ).
fof(f10936,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f10938,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f10936]) ).
fof(f10939,plain,
( ~ spl29_16
| spl29_9 ),
inference(avatar_split_clause,[],[f7667,f7660,f10936]) ).
fof(f10940,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_16 ),
inference(resolution,[],[f10938,f5281]) ).
fof(f10987,definition,
( spl29_17
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f10989,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f10987]) ).
fof(f10990,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f10940,f10936,f10987]) ).
fof(f10992,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(resolution,[],[f10989,f3272]) ).
fof(f10993,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| spl29_17 ),
inference(resolution,[],[f10989,f3273]) ).
fof(f10994,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_17 ),
inference(resolution,[],[f10989,f3274]) ).
fof(f11007,definition,
( spl29_18
<=> scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f11009,plain,
( scratc238929911_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f11007]) ).
fof(f11010,plain,
( spl29_18
| spl29_17 ),
inference(avatar_split_clause,[],[f10993,f10987,f11007]) ).
fof(f11019,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_18 ),
inference(resolution,[],[f11009,f3271]) ).
fof(f11020,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| spl29_17
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f11019,f10992]) ).
fof(f11022,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f11024,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f11022]) ).
fof(f11025,plain,
( ~ spl29_20
| spl29_17 ),
inference(avatar_split_clause,[],[f10994,f10987,f11022]) ).
fof(f11026,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_20 ),
inference(resolution,[],[f11024,f5348]) ).
fof(f11027,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(resolution,[],[f11024,f5349]) ).
fof(f11028,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_20 ),
inference(resolution,[],[f11024,f5350]) ).
fof(f11074,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f11076,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_21 ),
inference(avatar_component_clause,[],[f11074]) ).
fof(f11077,plain,
( ~ spl29_21
| spl29_20 ),
inference(avatar_split_clause,[],[f11028,f11022,f11074]) ).
fof(f11078,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_21 ),
inference(resolution,[],[f11076,f5351]) ).
fof(f11146,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20
| spl29_21 ),
inference(forward_subsumption_resolution,[],[f11078,f11026]) ).
fof(f11148,definition,
( spl29_22
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f11150,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_22 ),
inference(avatar_component_clause,[],[f11148]) ).
fof(f11152,definition,
( spl29_23
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f11154,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_23 ),
inference(avatar_component_clause,[],[f11152]) ).
fof(f11155,plain,
( ~ spl29_22
| ~ spl29_23
| spl29_20
| spl29_21 ),
inference(avatar_split_clause,[],[f11146,f11074,f11022,f11152,f11148]) ).
fof(f11272,definition,
( spl29_28
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition]) ).
fof(f11274,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_28 ),
inference(avatar_component_clause,[],[f11272]) ).
fof(f11276,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_28 ),
inference(resolution,[],[f11274,f5272]) ).
fof(f11333,definition,
( spl29_31
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_31])],[avatar_definition]) ).
fof(f11335,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc544561019lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_31 ),
inference(avatar_component_clause,[],[f11333]) ).
fof(f11336,plain,
( spl29_31
| spl29_20 ),
inference(avatar_split_clause,[],[f11027,f11022,f11333]) ).
fof(f11348,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc431198402_rt_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_31 ),
inference(resolution,[],[f11335,f5633]) ).
fof(f11381,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_31 ),
inference(forward_demodulation,[],[f11348,f5640]) ).
fof(f11382,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_31 ),
inference(forward_demodulation,[],[f11381,f5698]) ).
fof(f11393,definition,
( spl29_34
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f11395,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_34 ),
inference(avatar_component_clause,[],[f11393]) ).
fof(f11396,plain,
( spl29_34
| ~ spl29_31 ),
inference(avatar_split_clause,[],[f11382,f11333,f11393]) ).
fof(f11397,plain,
( ~ pp(scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_34 ),
inference(resolution,[],[f11395,f5616]) ).
fof(f11829,definition,
( spl29_43
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_43])],[avatar_definition]) ).
fof(f11831,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_43 ),
inference(avatar_component_clause,[],[f11829]) ).
fof(f11832,plain,
( spl29_43
| spl29_17 ),
inference(avatar_split_clause,[],[f10992,f10987,f11829]) ).
fof(f11834,definition,
( spl29_44
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).
fof(f11836,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_44 ),
inference(avatar_component_clause,[],[f11834]) ).
fof(f11837,plain,
( spl29_44
| spl29_20 ),
inference(avatar_split_clause,[],[f11026,f11022,f11834]) ).
fof(f11848,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)) )
| ~ spl29_44 ),
inference(resolution,[],[f11836,f4945]) ).
fof(f12031,definition,
( spl29_49
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_49])],[avatar_definition]) ).
fof(f12033,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_49 ),
inference(avatar_component_clause,[],[f12031]) ).
fof(f12034,plain,
( ~ spl29_49
| spl29_28 ),
inference(avatar_split_clause,[],[f11276,f11272,f12031]) ).
fof(f12102,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_14
| spl29_49 ),
inference(resolution,[],[f12033,f9227]) ).
fof(f13886,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_43 ),
inference(resolution,[],[f11831,f5621]) ).
fof(f13901,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_43 ),
inference(forward_demodulation,[],[f13886,f5698]) ).
fof(f13906,definition,
( spl29_79
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_79])],[avatar_definition]) ).
fof(f13908,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cs(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_79 ),
inference(avatar_component_clause,[],[f13906]) ).
fof(f13909,plain,
( ~ spl29_79
| ~ spl29_14
| spl29_49 ),
inference(avatar_split_clause,[],[f12102,f12031,f9226,f13906]) ).
fof(f14278,definition,
( spl29_85
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_85])],[avatar_definition]) ).
fof(f14279,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),X0)) )
| ~ spl29_85 ),
inference(avatar_component_clause,[],[f14278]) ).
fof(f14280,plain,
( spl29_85
| spl29_17
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f11020,f11007,f10987,f14278]) ).
fof(f15558,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),X0))
| spl29_23 ),
inference(resolution,[],[f11154,f5618]) ).
fof(f16125,definition,
( spl29_107
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_107])],[avatar_definition]) ).
fof(f16127,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_107 ),
inference(avatar_component_clause,[],[f16125]) ).
fof(f16129,definition,
( spl29_108
<=> pp(scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_108])],[avatar_definition]) ).
fof(f16131,plain,
( ~ pp(scratc1481334341_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl29_108 ),
inference(avatar_component_clause,[],[f16129]) ).
fof(f16132,plain,
( spl29_107
| ~ spl29_108
| ~ spl29_34 ),
inference(avatar_split_clause,[],[f11397,f11393,f16129,f16125]) ).
fof(f16136,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),fFalse))
| spl29_108 ),
inference(resolution,[],[f16131,f5725]) ).
fof(f16148,plain,
( $false
| spl29_23
| spl29_108 ),
inference(forward_subsumption_resolution,[],[f16136,f15558]) ).
fof(f16149,plain,
( spl29_23
| spl29_108 ),
inference(avatar_contradiction_clause,[],[f16148]) ).
fof(f17318,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_79 ),
inference(resolution,[],[f13908,f4779]) ).
fof(f32651,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_22
| ~ spl29_85 ),
inference(resolution,[],[f14279,f11150]) ).
fof(f33445,definition,
( spl29_235
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_235])],[avatar_definition]) ).
fof(f33447,plain,
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_235 ),
inference(avatar_component_clause,[],[f33445]) ).
fof(f33448,plain,
( spl29_235
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f7384,f6017,f33445]) ).
fof(f33470,definition,
( spl29_240
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_240])],[avatar_definition]) ).
fof(f33472,plain,
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_240 ),
inference(avatar_component_clause,[],[f33470]) ).
fof(f33473,plain,
( spl29_240
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f7392,f6017,f33470]) ).
fof(f34480,definition,
( spl29_329
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_329])],[avatar_definition]) ).
fof(f34481,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc128045762d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_329 ),
inference(avatar_component_clause,[],[f34480]) ).
fof(f34482,plain,
( spl29_329
| ~ spl29_43 ),
inference(avatar_split_clause,[],[f13901,f11829,f34480]) ).
fof(f34715,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_107
| ~ spl29_329 ),
inference(resolution,[],[f34481,f16127]) ).
fof(f34719,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl29_15
| ~ spl29_107
| ~ spl29_329 ),
inference(forward_subsumption_resolution,[],[f34715,f9412]) ).
fof(f34721,definition,
( spl29_352
<=> sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_352])],[avatar_definition]) ).
fof(f34723,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl29_352 ),
inference(avatar_component_clause,[],[f34721]) ).
fof(f34724,plain,
( spl29_352
| ~ spl29_15
| ~ spl29_107
| ~ spl29_329 ),
inference(avatar_split_clause,[],[f34719,f34480,f16125,f9410,f34721]) ).
fof(f34774,plain,
( ~ spl29_28
| spl29_22
| ~ spl29_85 ),
inference(avatar_split_clause,[],[f32651,f14278,f11148,f11272]) ).
fof(f35625,definition,
( spl29_441
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_441])],[avatar_definition]) ).
fof(f35627,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_441 ),
inference(avatar_component_clause,[],[f35625]) ).
fof(f35628,plain,
( ~ spl29_441
| spl29_79 ),
inference(avatar_split_clause,[],[f17318,f13906,f35625]) ).
fof(f35663,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ct,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_11
| spl29_441 ),
inference(resolution,[],[f35627,f7692]) ).
fof(f35667,plain,
( $false
| ~ spl29_11
| ~ spl29_240
| spl29_441 ),
inference(forward_subsumption_resolution,[],[f35663,f33472]) ).
fof(f35668,plain,
( ~ spl29_11
| ~ spl29_240
| spl29_441 ),
inference(avatar_contradiction_clause,[],[f35667]) ).
fof(f35819,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_21
| ~ spl29_352 ),
inference(superposition,[],[f11076,f34723]) ).
fof(f35920,definition,
( spl29_455
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_455])],[avatar_definition]) ).
fof(f35922,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_455 ),
inference(avatar_component_clause,[],[f35920]) ).
fof(f35923,plain,
( ~ spl29_455
| spl29_21
| ~ spl29_352 ),
inference(avatar_split_clause,[],[f35819,f34721,f11074,f35920]) ).
fof(f53859,definition,
( spl29_1725
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_1725])],[avatar_definition]) ).
fof(f53860,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1033242033t_less,aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),X0)),aa_TPTP_ind_TPTP_ind(scratc431657588_rt_pl(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),X0)) )
| ~ spl29_1725 ),
inference(avatar_component_clause,[],[f53859]) ).
fof(f53861,plain,
( spl29_1725
| ~ spl29_44 ),
inference(avatar_split_clause,[],[f11848,f11834,f53859]) ).
fof(f53862,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_455
| ~ spl29_1725 ),
inference(resolution,[],[f53860,f35922]) ).
fof(f53880,definition,
( spl29_1727
<=> pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_1727])],[avatar_definition]) ).
fof(f53881,plain,
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_1727 ),
inference(avatar_component_clause,[],[f53880]) ).
fof(f53882,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_1727 ),
inference(avatar_component_clause,[],[f53880]) ).
fof(f107292,definition,
( spl29_3015
<=> ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0)))
| pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_3015])],[avatar_definition]) ).
fof(f107293,plain,
( ! [X0] :
( pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,X0))) )
| ~ spl29_3015 ),
inference(avatar_component_clause,[],[f107292]) ).
fof(f107294,plain,
( spl29_3015
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f8498,f7691,f107292]) ).
fof(f107295,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ds,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_1727
| ~ spl29_3015 ),
inference(resolution,[],[f107293,f53882]) ).
fof(f107303,plain,
( $false
| ~ spl29_235
| spl29_1727
| ~ spl29_3015 ),
inference(forward_subsumption_resolution,[],[f107295,f33447]) ).
fof(f107304,plain,
( ~ spl29_235
| spl29_1727
| ~ spl29_3015 ),
inference(avatar_contradiction_clause,[],[f107303]) ).
fof(f108839,definition,
( spl29_3031
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_3031])],[avatar_definition]) ).
fof(f108841,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_3031 ),
inference(avatar_component_clause,[],[f108839]) ).
fof(f108842,plain,
( ~ spl29_3031
| spl29_455
| ~ spl29_1725 ),
inference(avatar_split_clause,[],[f53862,f53859,f35920,f108839]) ).
fof(f108843,plain,
( ~ pp(aa_fun171081125l_bool(scratc1741026978all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dr(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_14
| spl29_3031 ),
inference(resolution,[],[f108841,f9227]) ).
fof(f108850,plain,
( $false
| ~ spl29_14
| ~ spl29_1727
| spl29_3031 ),
inference(forward_subsumption_resolution,[],[f108843,f53881]) ).
fof(f108851,plain,
( ~ spl29_14
| ~ spl29_1727
| spl29_3031 ),
inference(avatar_contradiction_clause,[],[f108850]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f5988]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f6007]) ).
cnf(s3,plain,
( spl29_1
| spl29_3 ),
inference(sat_conversion,[],[f6012]) ).
cnf(s4,plain,
( ~ spl29_2
| ~ spl29_3
| spl29_4 ),
inference(sat_conversion,[],[f6019]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f7545]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f7588]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f7608]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f7613]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f7663]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f7683]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f7693]) ).
cnf(s14,plain,
( spl29_9
| ~ spl29_10
| spl29_14 ),
inference(sat_conversion,[],[f9228]) ).
cnf(s15,plain,
( spl29_9
| spl29_15 ),
inference(sat_conversion,[],[f9413]) ).
cnf(s16,plain,
( spl29_9
| ~ spl29_16 ),
inference(sat_conversion,[],[f10939]) ).
cnf(s17,plain,
( spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f10990]) ).
cnf(s18,plain,
( spl29_17
| spl29_18 ),
inference(sat_conversion,[],[f11010]) ).
cnf(s20,plain,
( spl29_17
| ~ spl29_20 ),
inference(sat_conversion,[],[f11025]) ).
cnf(s21,plain,
( spl29_20
| ~ spl29_21 ),
inference(sat_conversion,[],[f11077]) ).
cnf(s22,plain,
( spl29_20
| spl29_21
| ~ spl29_22
| ~ spl29_23 ),
inference(sat_conversion,[],[f11155]) ).
cnf(s29,plain,
( spl29_20
| spl29_31 ),
inference(sat_conversion,[],[f11336]) ).
cnf(s31,plain,
( ~ spl29_31
| spl29_34 ),
inference(sat_conversion,[],[f11396]) ).
cnf(s41,plain,
( spl29_17
| spl29_43 ),
inference(sat_conversion,[],[f11832]) ).
cnf(s42,plain,
( spl29_20
| spl29_44 ),
inference(sat_conversion,[],[f11837]) ).
cnf(s47,plain,
( spl29_28
| ~ spl29_49 ),
inference(sat_conversion,[],[f12034]) ).
cnf(s94,plain,
( ~ spl29_14
| spl29_49
| ~ spl29_79 ),
inference(sat_conversion,[],[f13909]) ).
cnf(s99,plain,
( spl29_17
| ~ spl29_18
| spl29_85 ),
inference(sat_conversion,[],[f14280]) ).
cnf(s140,plain,
( ~ spl29_34
| spl29_107
| ~ spl29_108 ),
inference(sat_conversion,[],[f16132]) ).
cnf(s141,plain,
( spl29_23
| spl29_108 ),
inference(sat_conversion,[],[f16149]) ).
cnf(s1703,plain,
( ~ spl29_4
| spl29_235 ),
inference(sat_conversion,[],[f33448]) ).
cnf(s1708,plain,
( ~ spl29_4
| spl29_240 ),
inference(sat_conversion,[],[f33473]) ).
cnf(s1802,plain,
( ~ spl29_43
| spl29_329 ),
inference(sat_conversion,[],[f34482]) ).
cnf(s1837,plain,
( ~ spl29_15
| ~ spl29_107
| ~ spl29_329
| spl29_352 ),
inference(sat_conversion,[],[f34724]) ).
cnf(s1842,plain,
( spl29_22
| ~ spl29_28
| ~ spl29_85 ),
inference(sat_conversion,[],[f34774]) ).
cnf(s1936,plain,
( spl29_79
| ~ spl29_441 ),
inference(sat_conversion,[],[f35628]) ).
cnf(s1941,plain,
( ~ spl29_11
| ~ spl29_240
| spl29_441 ),
inference(sat_conversion,[],[f35668]) ).
cnf(s1961,plain,
( spl29_21
| ~ spl29_352
| ~ spl29_455 ),
inference(sat_conversion,[],[f35923]) ).
cnf(s3243,plain,
( ~ spl29_44
| spl29_1725 ),
inference(sat_conversion,[],[f53861]) ).
cnf(s6166,plain,
( ~ spl29_11
| spl29_3015 ),
inference(sat_conversion,[],[f107294]) ).
cnf(s6167,plain,
( ~ spl29_235
| spl29_1727
| ~ spl29_3015 ),
inference(sat_conversion,[],[f107304]) ).
cnf(s6182,plain,
( spl29_455
| ~ spl29_1725
| ~ spl29_3031 ),
inference(sat_conversion,[],[f108842]) ).
cnf(s6183,plain,
( ~ spl29_14
| ~ spl29_1727
| spl29_3031 ),
inference(sat_conversion,[],[f108851]) ).
cnf(s6211,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s6212,plain,
spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s6213,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s6225,plain,
~ spl29_6,
inference(rat,[],[s6,s6211]) ).
cnf(s6239,plain,
spl29_4,
inference(rat,[],[s4,s6212,s6213]) ).
cnf(s6247,plain,
~ spl29_8,
inference(rat,[],[s8,s6225]) ).
cnf(s6248,plain,
spl29_7,
inference(rat,[],[s7,s6225]) ).
cnf(s6296,plain,
spl29_240,
inference(rat,[],[s1708,s6239]) ).
cnf(s6301,plain,
spl29_235,
inference(rat,[],[s1703,s6239]) ).
cnf(s6338,plain,
~ spl29_9,
inference(rat,[],[s9,s6247]) ).
cnf(s6339,plain,
spl29_11,
inference(rat,[],[s11,s6225,s6248]) ).
cnf(s6388,plain,
~ spl29_16,
inference(rat,[],[s16,s6338]) ).
cnf(s6389,plain,
spl29_15,
inference(rat,[],[s15,s6338]) ).
cnf(s6390,plain,
spl29_10,
inference(rat,[],[s10,s6338]) ).
cnf(s6391,plain,
spl29_3015,
inference(rat,[],[s6166,s6339]) ).
cnf(s6481,plain,
spl29_441,
inference(rat,[],[s1941,s6296,s6339]) ).
cnf(s6589,plain,
~ spl29_17,
inference(rat,[],[s17,s6388]) ).
cnf(s6596,plain,
spl29_14,
inference(rat,[],[s14,s6338,s6390]) ).
cnf(s6597,plain,
spl29_1727,
inference(rat,[],[s6167,s6301,s6391]) ).
cnf(s6630,plain,
spl29_79,
inference(rat,[],[s1936,s6481]) ).
cnf(s6754,plain,
spl29_43,
inference(rat,[],[s41,s6589]) ).
cnf(s6755,plain,
~ spl29_20,
inference(rat,[],[s20,s6589]) ).
cnf(s6756,plain,
spl29_18,
inference(rat,[],[s18,s6589]) ).
cnf(s6842,plain,
spl29_49,
inference(rat,[],[s94,s6630,s6596]) ).
cnf(s6844,plain,
spl29_3031,
inference(rat,[],[s6183,s6596,s6597]) ).
cnf(s6902,plain,
spl29_329,
inference(rat,[],[s1802,s6754]) ).
cnf(s6910,plain,
spl29_44,
inference(rat,[],[s42,s6755]) ).
cnf(s6912,plain,
spl29_31,
inference(rat,[],[s29,s6755]) ).
cnf(s6913,plain,
~ spl29_21,
inference(rat,[],[s21,s6755]) ).
cnf(s6916,plain,
spl29_85,
inference(rat,[],[s99,s6589,s6756]) ).
cnf(s6967,plain,
spl29_28,
inference(rat,[],[s47,s6842]) ).
cnf(s6971,plain,
spl29_1725,
inference(rat,[],[s3243,s6910]) ).
cnf(s6990,plain,
spl29_34,
inference(rat,[],[s31,s6912]) ).
cnf(s7139,plain,
spl29_22,
inference(rat,[],[s1842,s6916,s6967]) ).
cnf(s7143,plain,
spl29_455,
inference(rat,[],[s6182,s6844,s6971]) ).
cnf(s7172,plain,
~ spl29_23,
inference(rat,[],[s22,s6913,s6755,s7139]) ).
cnf(s7173,plain,
~ spl29_352,
inference(rat,[],[s1961,s6913,s7143]) ).
cnf(s7195,plain,
spl29_108,
inference(rat,[],[s141,s7172]) ).
cnf(s7201,plain,
~ spl29_107,
inference(rat,[],[s1837,s6902,s6389,s7173]) ).
cnf(s7220,plain,
$false,
inference(rat,[],[s140,s6990,s7195,s7201]) ).
fof(f108852,plain,
$false,
inference(avatar_sat_refutation,[],[s7220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM796+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n011.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:26:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 11.96/2.67 % (2771318)Detected formulas, will run a generic FOF schedule.
% 11.96/2.67 % (2771327)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=999218358:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.96/2.67 % (2771327)Refutation not found, incomplete strategy
% 11.96/2.67 % (2771327)------------------------------
% 11.96/2.67 % (2771327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/2.67 % (2771327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.67 % (2771327)CaDiCaL version: 2.1.3
% 11.96/2.67 % (2771327)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.67 % (2771327)Time elapsed: 0.003 s
% 11.96/2.67 % (2771327)Peak memory usage: 89 MB
% 11.96/2.67 % (2771327)Instructions burned: 7 (million)
% 11.96/2.67 % (2771323)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=897596618:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.96/2.67 % (2771324)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=2138579740:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.96/2.67 % (2771328)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1558142988:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.96/2.67 % (2771329)dis-21_1_sil=8000:lcm=predicate:random_seed=1166919510:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.96/2.67 % (2771325)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=391677335:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.96/2.67 % (2771326)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=462921198:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.96/2.67 % (2771326)Refutation not found, incomplete strategy
% 11.96/2.67 % (2771326)------------------------------
% 11.96/2.67 % (2771326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/2.67 % (2771326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.67 % (2771326)CaDiCaL version: 2.1.3
% 11.96/2.67 % (2771326)Termination reason: Refutation not found, incomplete strategy
% 11.96/2.67 % (2771326)Time elapsed: 0.005 s
% 11.96/2.67 % (2771326)Peak memory usage: 89 MB
% 11.96/2.67 % (2771326)Instructions burned: 6 (million)
% 11.96/2.67 % (2771329)Instruction limit reached!
% 11.96/2.67 % (2771329)------------------------------
% 11.96/2.67 % (2771329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/2.67 % (2771329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.67 % (2771329)CaDiCaL version: 2.1.3
% 11.96/2.67 % (2771329)Termination reason: Instruction limit
% 11.96/2.67 % (2771329)Termination phase: Property scanning
% 11.96/2.67 % (2771329)Time elapsed: 0.054 s
% 11.96/2.67 % (2771329)Peak memory usage: 89 MB
% 11.96/2.67 % (2771329)Instructions burned: 129 (million)
% 11.96/2.67 % (2771328)Instruction limit reached!
% 11.96/2.67 % (2771328)------------------------------
% 11.96/2.67 % (2771328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/2.67 % (2771328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.96/2.67 % (2771328)CaDiCaL version: 2.1.3
% 11.96/2.67 % (2771328)Termination reason: Instruction limit
% 11.96/2.67 % (2771328)Termination phase: Saturation
% 11.96/2.67 % (2771328)Time elapsed: 0.061 s
% 11.96/2.67 % (2771328)Peak memory usage: 90 MB
% 11.96/2.67 % (2771328)Instructions burned: 140 (million)
% 11.96/2.67 % (2771327)------------------------------
% 11.96/2.67 % (2771327)------------------------------
% 11.96/2.67 % (2771337)lrs+10_1_sil=8000:sp=occurrence:random_seed=4047118043:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.96/2.67 % (2771338)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3552340294:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.96/2.67 % (2771337)Refutation not found, incomplete strategy
% 11.96/2.67 % (2771337)------------------------------
% 11.96/2.67 % (2771337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.96/2.67 % (2771337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771337)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771337)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.89 % (2771337)Time elapsed: 0.005 s
% 20.68/3.89 % (2771337)Peak memory usage: 89 MB
% 20.68/3.89 % (2771337)Instructions burned: 6 (million)
% 20.68/3.89 % (2771338)Refutation not found, incomplete strategy
% 20.68/3.89 % (2771338)------------------------------
% 20.68/3.89 % (2771338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.89 % (2771338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771338)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771338)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.89 % (2771338)Time elapsed: 0.011 s
% 20.68/3.89 % (2771338)Peak memory usage: 89 MB
% 20.68/3.89 % (2771338)Instructions burned: 23 (million)
% 20.68/3.89 % (2771339)lrs+1011_1_sil=32000:sp=occurrence:random_seed=733249265:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 20.68/3.89 % (2771339)Refutation not found, incomplete strategy
% 20.68/3.89 % (2771339)------------------------------
% 20.68/3.89 % (2771339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.89 % (2771339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771339)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771339)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.89 % (2771339)Time elapsed: 0.004 s
% 20.68/3.89 % (2771339)Peak memory usage: 90 MB
% 20.68/3.89 % (2771339)Instructions burned: 8 (million)
% 20.68/3.89 % (2771326)------------------------------
% 20.68/3.89 % (2771326)------------------------------
% 20.68/3.89 % (2771339)------------------------------
% 20.68/3.89 % (2771339)------------------------------
% 20.68/3.89 % (2771343)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=3083942836:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.68/3.89 % (2771337)------------------------------
% 20.68/3.89 % (2771337)------------------------------
% 20.68/3.89 % (2771338)------------------------------
% 20.68/3.89 % (2771338)------------------------------
% 20.68/3.89 % (2771344)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3391314726:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.68/3.89 % (2771344)Refutation not found, incomplete strategy
% 20.68/3.89 % (2771344)------------------------------
% 20.68/3.89 % (2771344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.89 % (2771344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771344)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771344)Termination reason: Refutation not found, incomplete strategy
% 20.68/3.89 % (2771344)Time elapsed: 0.005 s
% 20.68/3.89 % (2771344)Peak memory usage: 89 MB
% 20.68/3.89 % (2771344)Instructions burned: 14 (million)
% 20.68/3.89 % (2771343)Instruction limit reached!
% 20.68/3.89 % (2771343)------------------------------
% 20.68/3.89 % (2771343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.89 % (2771343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771343)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771343)Termination reason: Instruction limit
% 20.68/3.89 % (2771343)Termination phase: Saturation
% 20.68/3.89 % (2771343)Time elapsed: 0.127 s
% 20.68/3.89 % (2771343)Peak memory usage: 95 MB
% 20.68/3.89 % (2771343)Instructions burned: 248 (million)
% 20.68/3.89 % (2771346)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3384804797:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.68/3.89 % (2771347)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3788707037:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.68/3.89 % (2771344)------------------------------
% 20.68/3.89 % (2771344)------------------------------
% 20.68/3.89 % (2771347)Instruction limit reached!
% 20.68/3.89 % (2771347)------------------------------
% 20.68/3.89 % (2771347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.68/3.89 % (2771347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.68/3.89 % (2771347)CaDiCaL version: 2.1.3
% 20.68/3.89 % (2771347)Termination reason: Instruction limit
% 20.68/3.89 % (2771347)Termination phase: Saturation
% 20.68/3.89 % (2771347)Time elapsed: 0.054 s
% 20.68/3.89 % (2771347)Peak memory usage: 90 MB
% 20.68/3.89 % (2771347)Instructions burned: 114 (million)
% 20.68/3.89 % (2771349)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=262352222:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 50.80/8.06 % (2771349)Instruction limit reached!
% 50.80/8.06 % (2771349)------------------------------
% 50.80/8.06 % (2771349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771349)CaDiCaL version: 2.1.3
% 50.80/8.06 % (2771349)Termination reason: Instruction limit
% 50.80/8.06 % (2771349)Termination phase: Blocked clause elimination
% 50.80/8.06 % (2771349)Time elapsed: 0.060 s
% 50.80/8.06 % (2771349)Peak memory usage: 89 MB
% 50.80/8.06 % (2771349)Instructions burned: 127 (million)
% 50.80/8.06 % (2771352)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=864882294:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 50.80/8.06 % (2771352)Instruction limit reached!
% 50.80/8.06 % (2771352)------------------------------
% 50.80/8.06 % (2771352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771352)CaDiCaL version: 2.1.3
% 50.80/8.06 % (2771352)Termination reason: Instruction limit
% 50.80/8.06 % (2771352)Termination phase: Saturation
% 50.80/8.06 % (2771352)Time elapsed: 0.031 s
% 50.80/8.06 % (2771352)Peak memory usage: 90 MB
% 50.80/8.06 % (2771352)Instructions burned: 115 (million)
% 50.80/8.06 % (2771353)lrs+10_1_sil=8000:sp=occurrence:random_seed=246674385:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 50.80/8.06 % (2771355)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2398914421:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 50.80/8.06 % (2771357)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=753608485:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 50.80/8.06 % (2771355)Refutation not found, incomplete strategy
% 50.80/8.06 % (2771355)------------------------------
% 50.80/8.06 % (2771355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771355)CaDiCaL version: 2.1.3
% 50.80/8.06 % (2771355)Termination reason: Refutation not found, incomplete strategy
% 50.80/8.06 % (2771355)Time elapsed: 0.102 s
% 50.80/8.06 % (2771355)Peak memory usage: 94 MB
% 50.80/8.06 % (2771355)Instructions burned: 211 (million)
% 50.80/8.06 % (2771355)------------------------------
% 50.80/8.06 % (2771355)------------------------------
% 50.80/8.06 % (2771353)Instruction limit reached!
% 50.80/8.06 % (2771353)------------------------------
% 50.80/8.06 % (2771353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771353)CaDiCaL version: 2.1.3
% 50.80/8.06 % (2771353)Termination reason: Instruction limit
% 50.80/8.06 % (2771353)Termination phase: Saturation
% 50.80/8.06 % (2771353)Time elapsed: 0.534 s
% 50.80/8.06 % (2771353)Peak memory usage: 101 MB
% 50.80/8.06 % (2771353)Instructions burned: 908 (million)
% 50.80/8.06 % (2771361)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3021078583:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 50.80/8.06 % (2771361)Instruction limit reached!
% 50.80/8.06 % (2771361)------------------------------
% 50.80/8.06 % (2771361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771361)CaDiCaL version: 2.1.3
% 50.80/8.06 % (2771361)Termination reason: Instruction limit
% 50.80/8.06 % (2771361)Termination phase: Saturation
% 50.80/8.06 % (2771361)Time elapsed: 0.062 s
% 50.80/8.06 % (2771361)Peak memory usage: 91 MB
% 50.80/8.06 % (2771361)Instructions burned: 136 (million)
% 50.80/8.06 % (2771362)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2809335707:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 50.80/8.06 % (2771362)Refutation not found, incomplete strategy
% 50.80/8.06 % (2771362)------------------------------
% 50.80/8.06 % (2771362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.80/8.06 % (2771362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.80/8.06 % (2771362)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771362)Termination reason: Refutation not found, incomplete strategy
% 61.06/9.50 % (2771362)Time elapsed: 0.021 s
% 61.06/9.50 % (2771362)Peak memory usage: 90 MB
% 61.06/9.50 % (2771362)Instructions burned: 41 (million)
% 61.06/9.50 % (2771364)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3546283708:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 61.06/9.50 % (2771362)------------------------------
% 61.06/9.50 % (2771362)------------------------------
% 61.06/9.50 % (2771367)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=4212674194:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 61.06/9.50 % (2771367)Refutation not found, incomplete strategy
% 61.06/9.50 % (2771367)------------------------------
% 61.06/9.50 % (2771367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.06/9.50 % (2771367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.06/9.50 % (2771367)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771367)Termination reason: Refutation not found, incomplete strategy
% 61.06/9.50 % (2771367)Time elapsed: 0.014 s
% 61.06/9.50 % (2771367)Peak memory usage: 89 MB
% 61.06/9.50 % (2771367)Instructions burned: 29 (million)
% 61.06/9.50 % (2771346)Instruction limit reached!
% 61.06/9.50 % (2771346)------------------------------
% 61.06/9.50 % (2771346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.06/9.50 % (2771346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.06/9.50 % (2771346)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771346)Termination reason: Instruction limit
% 61.06/9.50 % (2771346)Termination phase: Saturation
% 61.06/9.50 % (2771346)Time elapsed: 1.363 s
% 61.06/9.50 % (2771346)Peak memory usage: 170 MB
% 61.06/9.50 % (2771346)Instructions burned: 2350 (million)
% 61.06/9.50 % (2771369)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1118514990:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 61.06/9.50 % (2771367)------------------------------
% 61.06/9.50 % (2771367)------------------------------
% 61.06/9.50 % (2771369)Instruction limit reached!
% 61.06/9.50 % (2771369)------------------------------
% 61.06/9.50 % (2771369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.06/9.50 % (2771369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.06/9.50 % (2771369)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771369)Termination reason: Instruction limit
% 61.06/9.50 % (2771369)Termination phase: Twee Goal Transformation
% 61.06/9.50 % (2771369)Time elapsed: 0.062 s
% 61.06/9.50 % (2771369)Peak memory usage: 91 MB
% 61.06/9.50 % (2771369)Instructions burned: 135 (million)
% 61.06/9.50 % (2771371)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3084907794:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 61.06/9.50 % (2771372)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=4146829944:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 61.06/9.50 % (2771371)Refutation not found, incomplete strategy
% 61.06/9.50 % (2771371)------------------------------
% 61.06/9.50 % (2771371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.06/9.50 % (2771371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.06/9.50 % (2771371)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771371)Termination reason: Refutation not found, incomplete strategy
% 61.06/9.50 % (2771371)Time elapsed: 0.005 s
% 61.06/9.50 % (2771371)Peak memory usage: 90 MB
% 61.06/9.50 % (2771371)Instructions burned: 7 (million)
% 61.06/9.50 % (2771372)Refutation not found, incomplete strategy
% 61.06/9.50 % (2771372)------------------------------
% 61.06/9.50 % (2771372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 61.06/9.50 % (2771372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 61.06/9.50 % (2771372)CaDiCaL version: 2.1.3
% 61.06/9.50 % (2771372)Termination reason: Refutation not found, incomplete strategy
% 61.06/9.50 % (2771372)Time elapsed: 0.005 s
% 61.06/9.50 % (2771372)Peak memory usage: 90 MB
% 61.06/9.50 % (2771372)Instructions burned: 6 (million)
% 61.06/9.50 % (2771372)------------------------------
% 61.06/9.50 % (2771372)------------------------------
% 61.06/9.50 % (2771371)------------------------------
% 61.06/9.50 % (2771371)------------------------------
% 61.06/9.50 % (2771376)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=662715129:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 76.44/11.89 % (2771375)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=3565958354:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 76.44/11.89 % (2771357)Instruction limit reached!
% 76.44/11.89 % (2771357)------------------------------
% 76.44/11.89 % (2771357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.44/11.89 % (2771357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.89 % (2771357)CaDiCaL version: 2.1.3
% 76.44/11.89 % (2771357)Termination reason: Instruction limit
% 76.44/11.89 % (2771357)Termination phase: Saturation
% 76.44/11.89 % (2771357)Time elapsed: 1.852 s
% 76.44/11.89 % (2771357)Peak memory usage: 164 MB
% 76.44/11.89 % (2771357)Instructions burned: 5203 (million)
% 76.44/11.89 % (2771376)Instruction limit reached!
% 76.44/11.89 % (2771376)------------------------------
% 76.44/11.89 % (2771376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.44/11.89 % (2771376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.89 % (2771376)CaDiCaL version: 2.1.3
% 76.44/11.89 % (2771376)Termination reason: Instruction limit
% 76.44/11.89 % (2771376)Termination phase: Saturation
% 76.44/11.89 % (2771376)Time elapsed: 0.068 s
% 76.44/11.89 % (2771376)Peak memory usage: 91 MB
% 76.44/11.89 % (2771376)Instructions burned: 152 (million)
% 76.44/11.89 % (2771379)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=316804667:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 76.44/11.89 % (2771380)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2675314403:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 76.44/11.89 % (2771380)Instruction limit reached!
% 76.44/11.89 % (2771380)------------------------------
% 76.44/11.89 % (2771380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.44/11.89 % (2771380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.89 % (2771380)CaDiCaL version: 2.1.3
% 76.44/11.89 % (2771380)Termination reason: Instruction limit
% 76.44/11.89 % (2771380)Termination phase: Saturation
% 76.44/11.89 % (2771380)Time elapsed: 0.317 s
% 76.44/11.89 % (2771380)Peak memory usage: 99 MB
% 76.44/11.89 % (2771380)Instructions burned: 669 (million)
% 76.44/11.89 % (2771383)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2874813529:s2a=on:i=185:s2at=1.8:fdi=4_2964 on theBenchmark for (2964ds/185Mi)
% 76.44/11.89 % (2771383)Instruction limit reached!
% 76.44/11.89 % (2771383)------------------------------
% 76.44/11.89 % (2771383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.44/11.89 % (2771383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.89 % (2771383)CaDiCaL version: 2.1.3
% 76.44/11.89 % (2771383)Termination reason: Instruction limit
% 76.44/11.89 % (2771383)Termination phase: Saturation
% 76.44/11.89 % (2771383)Time elapsed: 0.081 s
% 76.44/11.89 % (2771383)Peak memory usage: 91 MB
% 76.44/11.89 % (2771383)Instructions burned: 185 (million)
% 76.44/11.89 % (2771385)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3578074800:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2961 on theBenchmark for (2961ds/193Mi)
% 76.44/11.89 % (2771385)Refutation not found, incomplete strategy
% 76.44/11.89 % (2771385)------------------------------
% 76.44/11.89 % (2771385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.44/11.89 % (2771385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.44/11.89 % (2771385)CaDiCaL version: 2.1.3
% 76.44/11.89 % (2771385)Termination reason: Refutation not found, incomplete strategy
% 76.44/11.89 % (2771385)Time elapsed: 0.009 s
% 76.44/11.89 % (2771385)Peak memory usage: 89 MB
% 76.44/11.89 % (2771385)Instructions burned: 13 (million)
% 76.44/11.89 % (2771385)------------------------------
% 76.44/11.89 % (2771385)------------------------------
% 76.44/11.89 % (2771387)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1125632213:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2957 on theBenchmark for (2957ds/4850Mi)
% 76.44/11.89 % (2771375)Instruction limit reached!
% 80.12/14.09 % (2771375)------------------------------
% 80.12/14.09 % (2771375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771375)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771375)Termination reason: Instruction limit
% 80.12/14.09 % (2771375)Termination phase: Saturation
% 80.12/14.09 % (2771375)Time elapsed: 4.161 s
% 80.12/14.09 % (2771375)Peak memory usage: 179 MB
% 80.12/14.09 % (2771375)Instructions burned: 6060 (million)
% 80.12/14.09 % (2771389)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=546512366:i=12111:sd=1:ss=included_2927 on theBenchmark for (2927ds/12111Mi)
% 80.12/14.09 % (2771379)Instruction limit reached!
% 80.12/14.09 % (2771379)------------------------------
% 80.12/14.09 % (2771379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771379)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771379)Termination reason: Instruction limit
% 80.12/14.09 % (2771379)Termination phase: Saturation
% 80.12/14.09 % (2771379)Time elapsed: 4.258 s
% 80.12/14.09 % (2771379)Peak memory usage: 227 MB
% 80.12/14.09 % (2771379)Instructions burned: 14155 (million)
% 80.12/14.09 % (2771387)Instruction limit reached!
% 80.12/14.09 % (2771387)------------------------------
% 80.12/14.09 % (2771387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771387)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771387)Termination reason: Instruction limit
% 80.12/14.09 % (2771387)Termination phase: Saturation
% 80.12/14.09 % (2771387)Time elapsed: 3.097 s
% 80.12/14.09 % (2771387)Peak memory usage: 154 MB
% 80.12/14.09 % (2771387)Instructions burned: 4850 (million)
% 80.12/14.09 % (2771391)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2317663492:i=319:kws=precedence:fsr=off_2925 on theBenchmark for (2925ds/319Mi)
% 80.12/14.09 % (2771391)Instruction limit reached!
% 80.12/14.09 % (2771391)------------------------------
% 80.12/14.09 % (2771391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771391)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771391)Termination reason: Instruction limit
% 80.12/14.09 % (2771391)Termination phase: Saturation
% 80.12/14.09 % (2771391)Time elapsed: 0.084 s
% 80.12/14.09 % (2771391)Peak memory usage: 95 MB
% 80.12/14.09 % (2771391)Instructions burned: 319 (million)
% 80.12/14.09 % (2771392)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4091548679:i=2064:ep=RST_2924 on theBenchmark for (2924ds/2064Mi)
% 80.12/14.09 % (2771394)dis-1011_128_sil=32000:random_seed=3281249597:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 80.12/14.09 % (2771392)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771392)------------------------------
% 80.12/14.09 % (2771392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771392)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771392)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771392)Time elapsed: 0.083 s
% 80.12/14.09 % (2771392)Peak memory usage: 92 MB
% 80.12/14.09 % (2771392)Instructions burned: 183 (million)
% 80.12/14.09 % (2771392)------------------------------
% 80.12/14.09 % (2771392)------------------------------
% 80.12/14.09 % (2771397)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1639086436:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2919 on theBenchmark for (2919ds/757Mi)
% 80.12/14.09 % (2771397)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771397)------------------------------
% 80.12/14.09 % (2771397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771397)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771397)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771397)Time elapsed: 0.011 s
% 80.12/14.09 % (2771397)Peak memory usage: 90 MB
% 80.12/14.09 % (2771397)Instructions burned: 18 (million)
% 80.12/14.09 % (2771397)------------------------------
% 80.12/14.09 % (2771397)------------------------------
% 80.12/14.09 % (2771399)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1904489250:i=13913:ss=axioms:sgt=8_2915 on theBenchmark for (2915ds/13913Mi)
% 80.12/14.09 % (2771394)Instruction limit reached!
% 80.12/14.09 % (2771394)------------------------------
% 80.12/14.09 % (2771394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771394)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771394)Termination reason: Instruction limit
% 80.12/14.09 % (2771394)Termination phase: Saturation
% 80.12/14.09 % (2771394)Time elapsed: 1.149 s
% 80.12/14.09 % (2771394)Peak memory usage: 111 MB
% 80.12/14.09 % (2771394)Instructions burned: 3708 (million)
% 80.12/14.09 % (2771401)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=903529161:i=9925:aac=none_2910 on theBenchmark for (2910ds/9925Mi)
% 80.12/14.09 % (2771399)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771399)------------------------------
% 80.12/14.09 % (2771399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771399)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771399)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771399)Time elapsed: 0.601 s
% 80.12/14.09 % (2771399)Peak memory usage: 132 MB
% 80.12/14.09 % (2771399)Instructions burned: 897 (million)
% 80.12/14.09 % (2771399)------------------------------
% 80.12/14.09 % (2771399)------------------------------
% 80.12/14.09 % (2771403)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2011098995:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2905 on theBenchmark for (2905ds/2479Mi)
% 80.12/14.09 % (2771403)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771403)------------------------------
% 80.12/14.09 % (2771403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771403)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771403)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771403)Time elapsed: 0.008 s
% 80.12/14.09 % (2771403)Peak memory usage: 89 MB
% 80.12/14.09 % (2771403)Instructions burned: 12 (million)
% 80.12/14.09 % (2771403)------------------------------
% 80.12/14.09 % (2771403)------------------------------
% 80.12/14.09 % (2771405)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2807087624:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2900 on theBenchmark for (2900ds/440Mi)
% 80.12/14.09 % (2771405)Instruction limit reached!
% 80.12/14.09 % (2771405)------------------------------
% 80.12/14.09 % (2771405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771405)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771405)Termination reason: Instruction limit
% 80.12/14.09 % (2771405)Termination phase: Saturation
% 80.12/14.09 % (2771405)Time elapsed: 0.164 s
% 80.12/14.09 % (2771405)Peak memory usage: 91 MB
% 80.12/14.09 % (2771405)Instructions burned: 442 (million)
% 80.12/14.09 % (2771407)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3654646155:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2897 on theBenchmark for (2897ds/11145Mi)
% 80.12/14.09 % (2771364)Instruction limit reached!
% 80.12/14.09 % (2771364)------------------------------
% 80.12/14.09 % (2771364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771364)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771364)Termination reason: Instruction limit
% 80.12/14.09 % (2771364)Termination phase: Saturation
% 80.12/14.09 % (2771364)Time elapsed: 8.576 s
% 80.12/14.09 % (2771364)Peak memory usage: 223 MB
% 80.12/14.09 % (2771364)Instructions burned: 13193 (million)
% 80.12/14.09 % (2771409)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=3794181019:cts=off:i=3034:av=off:er=known:fsd=on_2894 on theBenchmark for (2894ds/3034Mi)
% 80.12/14.09 % (2771407)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771407)------------------------------
% 80.12/14.09 % (2771407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771407)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771407)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771407)Time elapsed: 0.622 s
% 80.12/14.09 % (2771407)Peak memory usage: 132 MB
% 80.12/14.09 % (2771407)Instructions burned: 943 (million)
% 80.12/14.09 % (2771407)------------------------------
% 80.12/14.09 % (2771407)------------------------------
% 80.12/14.09 % (2771411)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1177594407:st=2:s2a=on:i=524:s2at=2:ss=axioms_2887 on theBenchmark for (2887ds/524Mi)
% 80.12/14.09 % (2771411)Instruction limit reached!
% 80.12/14.09 % (2771411)------------------------------
% 80.12/14.09 % (2771411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771411)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771411)Termination reason: Instruction limit
% 80.12/14.09 % (2771411)Termination phase: Saturation
% 80.12/14.09 % (2771411)Time elapsed: 0.278 s
% 80.12/14.09 % (2771411)Peak memory usage: 93 MB
% 80.12/14.09 % (2771411)Instructions burned: 524 (million)
% 80.12/14.09 % (2771413)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2048533635:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2882 on theBenchmark for (2882ds/1016Mi)
% 80.12/14.09 % (2771413)Refutation not found, incomplete strategy
% 80.12/14.09 % (2771413)------------------------------
% 80.12/14.09 % (2771413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771413)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771413)Termination reason: Refutation not found, incomplete strategy
% 80.12/14.09 % (2771413)Time elapsed: 0.006 s
% 80.12/14.09 % (2771413)Peak memory usage: 90 MB
% 80.12/14.09 % (2771413)Instructions burned: 7 (million)
% 80.12/14.09 % (2771413)------------------------------
% 80.12/14.09 % (2771413)------------------------------
% 80.12/14.09 % (2771415)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=4285023850:i=14123:bd=preordered:ins=4_2878 on theBenchmark for (2878ds/14123Mi)
% 80.12/14.09 % (2771409)Instruction limit reached!
% 80.12/14.09 % (2771409)------------------------------
% 80.12/14.09 % (2771409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.12/14.09 % (2771409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.12/14.09 % (2771409)CaDiCaL version: 2.1.3
% 80.12/14.09 % (2771409)Termination reason: Instruction limit
% 80.12/14.09 % (2771409)Termination phase: Saturation
% 80.12/14.09 % (2771409)Time elapsed: 1.702 s
% 80.12/14.09 % (2771409)Peak memory usage: 168 MB
% 80.12/14.09 % (2771409)Instructions burned: 3036 (million)
% 80.12/14.09 % (2771417)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1932121978:i=5781:kws=precedence:bd=all:rawr=on_2875 on theBenchmark for (2875ds/5781Mi)
% 80.12/14.09 % (2771325)First to succeed.
% 80.12/14.09 % (2771325)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2771318"
% 80.12/14.09 % (2771325)Refutation found. Thanks to Tanya!
% 80.12/14.09 % SZS status Theorem for theBenchmark
% 80.12/14.09 % SZS output start Proof for theBenchmark
% See solution above
% 93.80/14.28 % (2771325)------------------------------
% 93.80/14.28 % (2771325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 93.80/14.28 % (2771325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 93.80/14.28 % (2771325)CaDiCaL version: 2.1.3
% 93.80/14.28 % (2771325)Termination reason: Refutation
% 93.80/14.28 % (2771325)Time elapsed: 12.771 s
% 93.80/14.28 % (2771325)Peak memory usage: 299 MB
% 93.80/14.28 % (2771325)Instructions burned: 24523 (million)
% 93.80/14.28 % (2771325)------------------------------
% 93.80/14.28 % (2771325)------------------------------
% 93.80/14.28 % (2771318)Success in time 13.223 s
% 93.80/14.28 % Vampire exiting
%------------------------------------------------------------------------------