%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM757+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:52 PM UTC 2026
% Result : Theorem 12.55s 4.70s
% Output : Refutation 27.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 43
% Syntax : Number of formulae : 238 ( 38 unt; 25 def)
% Number of atoms : 575 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 572 ( 235 ~; 252 |; 34 &)
% ( 45 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 26 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 17 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 145 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessf) ).
fof(f35,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moref) ).
fof(f67,axiom,
! [X0] : scratc1168383481d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f80,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f81,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f199,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc379232245_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f202,axiom,
pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_cd)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz63a) ).
fof(f244,axiom,
pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_gs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz42) ).
fof(f588,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0))
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__142) ).
fof(f626,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__180) ).
fof(f628,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__182) ).
fof(f675,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__229) ).
fof(f676,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__230) ).
fof(f807,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__361) ).
fof(f809,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__363) ).
fof(f829,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__383) ).
fof(f830,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__384) ).
fof(f1013,conjecture,
pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1014,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f1013]) ).
fof(f1015,plain,
~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f1014]) ).
fof(f1032,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc379232245_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f199]) ).
fof(f1033,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc379232245_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1032]) ).
fof(f1111,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f675]) ).
fof(f1112,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ) ),
inference(ennf_transformation,[],[f676]) ).
fof(f1139,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) ),
inference(ennf_transformation,[],[f829]) ).
fof(f1140,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) ),
inference(ennf_transformation,[],[f830]) ).
fof(f1290,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ) ),
inference(nnf_transformation,[],[f34]) ).
fof(f1291,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1)) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f1305,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f1306,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f1369,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc379232245_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc379232245_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1033]) ).
fof(f1370,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc379232245_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc379232245_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1)) ) ),
inference(rectify,[],[f1369]) ).
fof(f1371,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc379232245_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc379232245_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1370]) ).
fof(f1532,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0)) ) ),
inference(nnf_transformation,[],[f588]) ).
fof(f1570,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ) ),
inference(nnf_transformation,[],[f626]) ).
fof(f1572,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f628]) ).
fof(f1637,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ) ),
inference(nnf_transformation,[],[f1111]) ).
fof(f1638,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ) ),
inference(flattening,[],[f1637]) ).
fof(f1639,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1)) ) ),
inference(nnf_transformation,[],[f1112]) ).
fof(f1640,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1)) ) ),
inference(flattening,[],[f1639]) ).
fof(f1787,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ) ),
inference(nnf_transformation,[],[f807]) ).
fof(f1789,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f809]) ).
fof(f1812,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1139]) ).
fof(f1813,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2)) ) ),
inference(flattening,[],[f1812]) ).
fof(f1814,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f1140]) ).
fof(f1815,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f1814]) ).
fof(f2101,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f1290]) ).
fof(f2104,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1168383481d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) ),
inference(cnf_transformation,[],[f1291]) ).
fof(f2140,plain,
! [X0] : scratc1168383481d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,X0)),
inference(cnf_transformation,[],[f67]) ).
fof(f2162,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f1305]) ).
fof(f2165,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f1306]) ).
fof(f2350,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc379232245_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1371]) ).
fof(f2351,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1371]) ).
fof(f2352,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| scratc379232245_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1371]) ).
fof(f2353,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1371]) ).
fof(f2357,plain,
pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_cd)),
inference(cnf_transformation,[],[f202]) ).
fof(f2399,plain,
pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_gs)),
inference(cnf_transformation,[],[f244]) ).
fof(f2914,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0)) ),
inference(cnf_transformation,[],[f1532]) ).
fof(f2990,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ),
inference(cnf_transformation,[],[f1570]) ).
fof(f2995,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f1572]) ).
fof(f3104,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ),
inference(cnf_transformation,[],[f1638]) ).
fof(f3107,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1)) ),
inference(cnf_transformation,[],[f1640]) ).
fof(f3109,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X1),X0)) ),
inference(cnf_transformation,[],[f1640]) ).
fof(f3386,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ),
inference(cnf_transformation,[],[f1787]) ).
fof(f3391,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f1789]) ).
fof(f3433,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1813]) ).
fof(f3437,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(X1),X2))) ),
inference(cnf_transformation,[],[f1815]) ).
fof(f3438,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f1815]) ).
fof(f3927,plain,
~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f1015]) ).
fof(f3940,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,X0),X1)) ),
inference(definition_unfolding,[],[f2101,f2140,f2140]) ).
fof(f3941,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,X0)))) ),
inference(definition_unfolding,[],[f2104,f2140,f2140]) ).
fof(f4272,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f4274,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f4272]) ).
fof(f4275,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f3927,f4272]) ).
fof(f4276,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f4274,f2351]) ).
fof(f4277,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f4274,f2352]) ).
fof(f4278,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f4274,f2353]) ).
fof(f4291,definition,
( spl29_2
<=> scratc379232245_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f4293,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f4291]) ).
fof(f4294,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f4277,f4272,f4291]) ).
fof(f4296,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f4293,f2350]) ).
fof(f4297,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f4296,f4276]) ).
fof(f4299,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f4300,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f4299]) ).
fof(f4301,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f4297,f4291,f4272,f4299]) ).
fof(f5332,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f5334,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_5 ),
inference(avatar_component_clause,[],[f5332]) ).
fof(f5335,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f4278,f4272,f5332]) ).
fof(f5336,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_5 ),
inference(resolution,[],[f5334,f2995]) ).
fof(f5375,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f5377,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f5375]) ).
fof(f5378,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f5336,f5332,f5375]) ).
fof(f5380,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(resolution,[],[f5377,f2351]) ).
fof(f5381,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f5377,f2352]) ).
fof(f5382,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_6 ),
inference(resolution,[],[f5377,f2353]) ).
fof(f5395,definition,
( spl29_7
<=> scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f5397,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f5395]) ).
fof(f5398,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f5381,f5375,f5395]) ).
fof(f5400,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f5397,f2350]) ).
fof(f5401,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f5400,f5380]) ).
fof(f5403,definition,
( spl29_8
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f5404,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f5403]) ).
fof(f5405,plain,
( spl29_8
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f5401,f5395,f5375,f5403]) ).
fof(f6114,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_cd))
| pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_8 ),
inference(resolution,[],[f5404,f2990]) ).
fof(f6157,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aTP_Lamm_gs))
| pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_8 ),
inference(resolution,[],[f5404,f2914]) ).
fof(f6318,plain,
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f6157,f2399]) ).
fof(f6358,plain,
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f6114,f2357]) ).
fof(f6431,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f6433,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_9 ),
inference(avatar_component_clause,[],[f6431]) ).
fof(f6434,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f5382,f5375,f6431]) ).
fof(f6435,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f6433,f3391]) ).
fof(f6482,definition,
( spl29_10
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f6484,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_10 ),
inference(avatar_component_clause,[],[f6482]) ).
fof(f6485,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f6435,f6431,f6482]) ).
fof(f6487,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_10 ),
inference(resolution,[],[f6484,f2351]) ).
fof(f6488,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_10 ),
inference(resolution,[],[f6484,f2352]) ).
fof(f6489,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_10 ),
inference(resolution,[],[f6484,f2353]) ).
fof(f6502,definition,
( spl29_11
<=> scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f6504,plain,
( scratc379232245_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f6502]) ).
fof(f6505,plain,
( spl29_11
| spl29_10 ),
inference(avatar_split_clause,[],[f6488,f6482,f6502]) ).
fof(f6507,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(resolution,[],[f6504,f2350]) ).
fof(f6508,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| spl29_10
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f6507,f6487]) ).
fof(f6515,definition,
( spl29_13
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f6516,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),X0)) )
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f6515]) ).
fof(f6517,plain,
( spl29_13
| spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f6508,f6502,f6482,f6515]) ).
fof(f7732,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f7734,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f7732]) ).
fof(f7735,plain,
( ~ spl29_16
| spl29_10 ),
inference(avatar_split_clause,[],[f6489,f6482,f7732]) ).
fof(f7736,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_16 ),
inference(resolution,[],[f7734,f3437]) ).
fof(f7737,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16 ),
inference(resolution,[],[f7734,f3438]) ).
fof(f7784,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f7786,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_17 ),
inference(avatar_component_clause,[],[f7784]) ).
fof(f7787,plain,
( spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f7736,f7732,f7784]) ).
fof(f7793,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_17 ),
inference(resolution,[],[f7786,f3107]) ).
fof(f7812,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))))
| ~ spl29_17 ),
inference(resolution,[],[f7786,f3940]) ).
fof(f7928,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f7930,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1166480117nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f7928]) ).
fof(f7931,plain,
( spl29_21
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f7812,f7784,f7928]) ).
fof(f7938,plain,
( pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))))
| ~ spl29_21 ),
inference(resolution,[],[f7930,f2162]) ).
fof(f8027,definition,
( spl29_22
<=> pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f8029,plain,
( pp(aa_fun171081125l_bool(scratc1173405166n_some,aa_TPT43085870d_bool(scratc1281758204ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f8027]) ).
fof(f8030,plain,
( spl29_22
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f7938,f7928,f8027]) ).
fof(f8031,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))))
| ~ spl29_22 ),
inference(resolution,[],[f8029,f2165]) ).
fof(f8233,definition,
( spl29_28
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition]) ).
fof(f8235,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gp,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_28 ),
inference(avatar_component_clause,[],[f8233]) ).
fof(f8237,definition,
( spl29_29
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_29])],[avatar_definition]) ).
fof(f8239,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_29 ),
inference(avatar_component_clause,[],[f8237]) ).
fof(f8240,plain,
( ~ spl29_28
| spl29_29
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f7793,f7784,f8237,f8233]) ).
fof(f8242,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_28 ),
inference(resolution,[],[f8235,f3109]) ).
fof(f8354,definition,
( spl29_30
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_30])],[avatar_definition]) ).
fof(f8356,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1590458937_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_30 ),
inference(avatar_component_clause,[],[f8354]) ).
fof(f8357,plain,
( ~ spl29_30
| spl29_16 ),
inference(avatar_split_clause,[],[f7737,f7732,f8354]) ).
fof(f8427,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_30 ),
inference(resolution,[],[f8356,f3104]) ).
fof(f8496,definition,
( spl29_33
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_33])],[avatar_definition]) ).
fof(f8498,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc310891127_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc2026342531bnd_ap,aa_TPTP_ind_TPTP_ind(scratc893932754_times,aa_TPTP_ind_TPTP_ind(scratc1208574834nd_num,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))),aa_TPTP_ind_TPTP_ind(scratc1124910201nd_den,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))))
| ~ spl29_33 ),
inference(avatar_component_clause,[],[f8496]) ).
fof(f8499,plain,
( spl29_33
| ~ spl29_22 ),
inference(avatar_split_clause,[],[f8031,f8027,f8496]) ).
fof(f8500,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),aa_TPTP_ind_TPTP_ind(scratc1168121072d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_33 ),
inference(resolution,[],[f8498,f3941]) ).
fof(f8578,plain,
( $false
| spl29_28
| ~ spl29_33 ),
inference(forward_subsumption_resolution,[],[f8500,f8242]) ).
fof(f8579,plain,
( spl29_28
| ~ spl29_33 ),
inference(avatar_contradiction_clause,[],[f8578]) ).
fof(f8595,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_29 ),
inference(resolution,[],[f8239,f3433]) ).
fof(f8896,definition,
( spl29_42
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_42])],[avatar_definition]) ).
fof(f8898,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_42 ),
inference(avatar_component_clause,[],[f8896]) ).
fof(f8900,definition,
( spl29_43
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_43])],[avatar_definition]) ).
fof(f8902,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1936780733_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_43 ),
inference(avatar_component_clause,[],[f8900]) ).
fof(f8903,plain,
( ~ spl29_42
| ~ spl29_43
| spl29_30 ),
inference(avatar_split_clause,[],[f8427,f8354,f8900,f8896]) ).
fof(f8912,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_3
| spl29_42 ),
inference(resolution,[],[f8898,f4300]) ).
fof(f8951,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_42 ),
inference(forward_subsumption_resolution,[],[f8912,f6318]) ).
fof(f8952,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_42 ),
inference(avatar_contradiction_clause,[],[f8951]) ).
fof(f8953,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_29
| spl29_43 ),
inference(backward_subsumption_resolution,[],[f8595,f8902]) ).
fof(f8955,definition,
( spl29_44
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).
fof(f8957,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_44 ),
inference(avatar_component_clause,[],[f8955]) ).
fof(f8958,plain,
( ~ spl29_44
| ~ spl29_29
| spl29_43 ),
inference(avatar_split_clause,[],[f8953,f8900,f8237,f8955]) ).
fof(f8967,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_13
| spl29_44 ),
inference(resolution,[],[f8957,f6516]) ).
fof(f9078,definition,
( spl29_46
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_46])],[avatar_definition]) ).
fof(f9080,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_46 ),
inference(avatar_component_clause,[],[f9078]) ).
fof(f9081,plain,
( ~ spl29_46
| ~ spl29_13
| spl29_44 ),
inference(avatar_split_clause,[],[f8967,f8955,f6515,f9078]) ).
fof(f10155,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_46 ),
inference(resolution,[],[f9080,f3386]) ).
fof(f10460,definition,
( spl29_120
<=> pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_120])],[avatar_definition]) ).
fof(f10462,plain,
( pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_120 ),
inference(avatar_component_clause,[],[f10460]) ).
fof(f10463,plain,
( spl29_120
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f6358,f5403,f10460]) ).
fof(f14352,definition,
( spl29_258
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_258])],[avatar_definition]) ).
fof(f14354,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_258 ),
inference(avatar_component_clause,[],[f14352]) ).
fof(f14355,plain,
( ~ spl29_258
| spl29_46 ),
inference(avatar_split_clause,[],[f10155,f9078,f14352]) ).
fof(f14363,plain,
( ~ pp(aa_fun171081125l_bool(scratc1318919716all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_3
| spl29_258 ),
inference(resolution,[],[f14354,f4300]) ).
fof(f14403,plain,
( $false
| ~ spl29_3
| ~ spl29_120
| spl29_258 ),
inference(forward_subsumption_resolution,[],[f14363,f10462]) ).
fof(f14404,plain,
( ~ spl29_3
| ~ spl29_120
| spl29_258 ),
inference(avatar_contradiction_clause,[],[f14403]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f4275]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f4294]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f4301]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f5335]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f5378]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f5398]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_7
| spl29_8 ),
inference(sat_conversion,[],[f5405]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f6434]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f6485]) ).
cnf(s11,plain,
( spl29_10
| spl29_11 ),
inference(sat_conversion,[],[f6505]) ).
cnf(s13,plain,
( spl29_10
| ~ spl29_11
| spl29_13 ),
inference(sat_conversion,[],[f6517]) ).
cnf(s16,plain,
( spl29_10
| ~ spl29_16 ),
inference(sat_conversion,[],[f7735]) ).
cnf(s17,plain,
( spl29_16
| spl29_17 ),
inference(sat_conversion,[],[f7787]) ).
cnf(s21,plain,
( ~ spl29_17
| spl29_21 ),
inference(sat_conversion,[],[f7931]) ).
cnf(s22,plain,
( ~ spl29_21
| spl29_22 ),
inference(sat_conversion,[],[f8030]) ).
cnf(s27,plain,
( ~ spl29_17
| ~ spl29_28
| spl29_29 ),
inference(sat_conversion,[],[f8240]) ).
cnf(s28,plain,
( spl29_16
| ~ spl29_30 ),
inference(sat_conversion,[],[f8357]) ).
cnf(s31,plain,
( ~ spl29_22
| spl29_33 ),
inference(sat_conversion,[],[f8499]) ).
cnf(s32,plain,
( spl29_28
| ~ spl29_33 ),
inference(sat_conversion,[],[f8579]) ).
cnf(s41,plain,
( spl29_30
| ~ spl29_42
| ~ spl29_43 ),
inference(sat_conversion,[],[f8903]) ).
cnf(s42,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_42 ),
inference(sat_conversion,[],[f8952]) ).
cnf(s43,plain,
( ~ spl29_29
| spl29_43
| ~ spl29_44 ),
inference(sat_conversion,[],[f8958]) ).
cnf(s45,plain,
( ~ spl29_13
| spl29_44
| ~ spl29_46 ),
inference(sat_conversion,[],[f9081]) ).
cnf(s120,plain,
( ~ spl29_8
| spl29_120 ),
inference(sat_conversion,[],[f10463]) ).
cnf(s257,plain,
( spl29_46
| ~ spl29_258 ),
inference(sat_conversion,[],[f14355]) ).
cnf(s258,plain,
( ~ spl29_3
| ~ spl29_120
| spl29_258 ),
inference(sat_conversion,[],[f14404]) ).
cnf(s259,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s261,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s264,plain,
~ spl29_6,
inference(rat,[],[s6,s259]) ).
cnf(s269,plain,
spl29_3,
inference(rat,[],[s3,s1,s261]) ).
cnf(s273,plain,
~ spl29_9,
inference(rat,[],[s9,s264]) ).
cnf(s274,plain,
spl29_7,
inference(rat,[],[s7,s264]) ).
cnf(s330,plain,
~ spl29_10,
inference(rat,[],[s10,s273]) ).
cnf(s331,plain,
spl29_8,
inference(rat,[],[s8,s264,s274]) ).
cnf(s333,plain,
~ spl29_16,
inference(rat,[],[s16,s330]) ).
cnf(s335,plain,
spl29_11,
inference(rat,[],[s11,s330]) ).
cnf(s371,plain,
spl29_120,
inference(rat,[],[s120,s331]) ).
cnf(s386,plain,
spl29_42,
inference(rat,[],[s42,s269,s331]) ).
cnf(s390,plain,
~ spl29_30,
inference(rat,[],[s28,s333]) ).
cnf(s391,plain,
spl29_17,
inference(rat,[],[s17,s333]) ).
cnf(s394,plain,
spl29_13,
inference(rat,[],[s13,s330,s335]) ).
cnf(s395,plain,
spl29_258,
inference(rat,[],[s258,s269,s371]) ).
cnf(s402,plain,
~ spl29_43,
inference(rat,[],[s41,s386,s390]) ).
cnf(s408,plain,
spl29_21,
inference(rat,[],[s21,s391]) ).
cnf(s458,plain,
spl29_46,
inference(rat,[],[s257,s395]) ).
cnf(s466,plain,
spl29_22,
inference(rat,[],[s22,s408]) ).
cnf(s467,plain,
spl29_44,
inference(rat,[],[s45,s394,s458]) ).
cnf(s472,plain,
spl29_33,
inference(rat,[],[s31,s466]) ).
cnf(s473,plain,
~ spl29_29,
inference(rat,[],[s43,s402,s467]) ).
cnf(s477,plain,
spl29_28,
inference(rat,[],[s32,s472]) ).
cnf(s478,plain,
$false,
inference(rat,[],[s27,s391,s473,s477]) ).
fof(f14405,plain,
$false,
inference(avatar_sat_refutation,[],[s478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM757+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 21:23:02 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.93/2.49 % (3002819)Detected formulas, will run a generic FOF schedule.
% 10.93/2.49 % (3002828)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4216454155:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.93/2.49 % (3002828)Refutation not found, incomplete strategy
% 10.93/2.49 % (3002828)------------------------------
% 10.93/2.49 % (3002828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.49 % (3002828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.49 % (3002828)CaDiCaL version: 2.1.3
% 10.93/2.49 % (3002828)Termination reason: Refutation not found, incomplete strategy
% 10.93/2.49 % (3002828)Time elapsed: 0.002 s
% 10.93/2.49 % (3002828)Peak memory usage: 88 MB
% 10.93/2.49 % (3002828)Instructions burned: 5 (million)
% 10.93/2.49 % (3002827)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1997239259:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.93/2.49 % (3002829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2105574367:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.93/2.49 % (3002830)dis-21_1_sil=8000:lcm=predicate:random_seed=4052170774:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.93/2.49 % (3002826)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=522813510:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.93/2.49 % (3002824)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=1269143890:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.93/2.49 % (3002825)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=909296421:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.93/2.49 % (3002827)Refutation not found, incomplete strategy
% 10.93/2.49 % (3002827)------------------------------
% 10.93/2.49 % (3002827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.49 % (3002827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.49 % (3002827)CaDiCaL version: 2.1.3
% 10.93/2.49 % (3002827)Termination reason: Refutation not found, incomplete strategy
% 10.93/2.49 % (3002827)Time elapsed: 0.004 s
% 10.93/2.49 % (3002827)Peak memory usage: 88 MB
% 10.93/2.49 % (3002827)Instructions burned: 4 (million)
% 10.93/2.49 % (3002830)Instruction limit reached!
% 10.93/2.49 % (3002830)------------------------------
% 10.93/2.49 % (3002830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.49 % (3002830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.49 % (3002830)CaDiCaL version: 2.1.3
% 10.93/2.49 % (3002830)Termination reason: Instruction limit
% 10.93/2.49 % (3002830)Termination phase: Saturation
% 10.93/2.49 % (3002830)Time elapsed: 0.059 s
% 10.93/2.49 % (3002830)Peak memory usage: 90 MB
% 10.93/2.49 % (3002830)Instructions burned: 129 (million)
% 10.93/2.49 % (3002829)Instruction limit reached!
% 10.93/2.49 % (3002829)------------------------------
% 10.93/2.49 % (3002829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.49 % (3002829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.49 % (3002829)CaDiCaL version: 2.1.3
% 10.93/2.49 % (3002829)Termination reason: Instruction limit
% 10.93/2.49 % (3002829)Termination phase: Saturation
% 10.93/2.49 % (3002829)Time elapsed: 0.069 s
% 10.93/2.49 % (3002829)Peak memory usage: 91 MB
% 10.93/2.49 % (3002829)Instructions burned: 139 (million)
% 10.93/2.49 % (3002828)------------------------------
% 10.93/2.49 % (3002828)------------------------------
% 10.93/2.49 % (3002838)lrs+10_1_sil=8000:sp=occurrence:random_seed=448212006:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.93/2.49 % (3002838)Refutation not found, incomplete strategy
% 10.93/2.49 % (3002838)------------------------------
% 10.93/2.49 % (3002838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.93/2.49 % (3002838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.93/2.49 % (3002838)CaDiCaL version: 2.1.3
% 10.93/2.49 % (3002838)Termination reason: Refutation not found, incomplete strategy
% 10.93/2.49 % (3002838)Time elapsed: 0.004 s
% 10.93/2.49 % (3002838)Peak memory usage: 89 MB
% 18.01/3.50 % (3002838)Instructions burned: 4 (million)
% 18.01/3.50 % (3002839)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1786096380:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.01/3.50 % (3002839)Refutation not found, incomplete strategy
% 18.01/3.50 % (3002839)------------------------------
% 18.01/3.50 % (3002839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.50 % (3002839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.50 % (3002839)CaDiCaL version: 2.1.3
% 18.01/3.50 % (3002839)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.50 % (3002839)Time elapsed: 0.009 s
% 18.01/3.50 % (3002839)Peak memory usage: 89 MB
% 18.01/3.50 % (3002839)Instructions burned: 16 (million)
% 18.01/3.50 % (3002840)lrs+1011_1_sil=32000:sp=occurrence:random_seed=631262137:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 18.01/3.50 % (3002827)------------------------------
% 18.01/3.50 % (3002827)------------------------------
% 18.01/3.50 % (3002840)Refutation not found, incomplete strategy
% 18.01/3.50 % (3002840)------------------------------
% 18.01/3.50 % (3002840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.50 % (3002840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.50 % (3002840)CaDiCaL version: 2.1.3
% 18.01/3.50 % (3002840)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.50 % (3002840)Time elapsed: 0.003 s
% 18.01/3.50 % (3002840)Peak memory usage: 90 MB
% 18.01/3.50 % (3002840)Instructions burned: 7 (million)
% 18.01/3.50 % (3002840)------------------------------
% 18.01/3.50 % (3002840)------------------------------
% 18.01/3.50 % (3002844)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=3531669660:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 18.01/3.50 % (3002838)------------------------------
% 18.01/3.50 % (3002838)------------------------------
% 18.01/3.50 % (3002839)------------------------------
% 18.01/3.50 % (3002839)------------------------------
% 18.01/3.50 % (3002845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1057502708:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 18.01/3.50 % (3002845)Refutation not found, incomplete strategy
% 18.01/3.50 % (3002845)------------------------------
% 18.01/3.50 % (3002845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.50 % (3002845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.50 % (3002845)CaDiCaL version: 2.1.3
% 18.01/3.50 % (3002845)Termination reason: Refutation not found, incomplete strategy
% 18.01/3.50 % (3002845)Time elapsed: 0.004 s
% 18.01/3.50 % (3002845)Peak memory usage: 89 MB
% 18.01/3.50 % (3002845)Instructions burned: 10 (million)
% 18.01/3.50 % (3002844)Instruction limit reached!
% 18.01/3.50 % (3002844)------------------------------
% 18.01/3.50 % (3002844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.50 % (3002844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.50 % (3002844)CaDiCaL version: 2.1.3
% 18.01/3.50 % (3002844)Termination reason: Instruction limit
% 18.01/3.50 % (3002844)Termination phase: Saturation
% 18.01/3.50 % (3002844)Time elapsed: 0.139 s
% 18.01/3.50 % (3002844)Peak memory usage: 97 MB
% 18.01/3.50 % (3002844)Instructions burned: 254 (million)
% 18.01/3.50 % (3002847)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1270119993:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.01/3.50 % (3002848)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2294508282:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 18.01/3.50 % (3002845)------------------------------
% 18.01/3.50 % (3002845)------------------------------
% 18.01/3.50 % (3002848)Instruction limit reached!
% 18.01/3.50 % (3002848)------------------------------
% 18.01/3.50 % (3002848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.01/3.50 % (3002848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.01/3.50 % (3002848)CaDiCaL version: 2.1.3
% 18.01/3.50 % (3002848)Termination reason: Instruction limit
% 18.01/3.50 % (3002848)Termination phase: Saturation
% 18.01/3.50 % (3002848)Time elapsed: 0.057 s
% 18.01/3.50 % (3002848)Peak memory usage: 90 MB
% 18.01/3.50 % (3002848)Instructions burned: 114 (million)
% 18.01/3.50 % (3002850)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2264776198:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.55/4.70 % (3002850)Instruction limit reached!
% 12.55/4.70 % (3002850)------------------------------
% 12.55/4.70 % (3002850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002850)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002850)Termination reason: Instruction limit
% 12.55/4.70 % (3002850)Termination phase: Saturation
% 12.55/4.70 % (3002850)Time elapsed: 0.058 s
% 12.55/4.70 % (3002850)Peak memory usage: 90 MB
% 12.55/4.70 % (3002850)Instructions burned: 129 (million)
% 12.55/4.70 % (3002853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3592735818:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 12.55/4.70 % (3002853)Instruction limit reached!
% 12.55/4.70 % (3002853)------------------------------
% 12.55/4.70 % (3002853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002853)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002853)Termination reason: Instruction limit
% 12.55/4.70 % (3002853)Termination phase: Saturation
% 12.55/4.70 % (3002853)Time elapsed: 0.034 s
% 12.55/4.70 % (3002853)Peak memory usage: 90 MB
% 12.55/4.70 % (3002853)Instructions burned: 117 (million)
% 12.55/4.70 % (3002854)lrs+10_1_sil=8000:sp=occurrence:random_seed=1373849475:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 12.55/4.70 % (3002854)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002854)------------------------------
% 12.55/4.70 % (3002854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002854)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002854)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002854)Time elapsed: 0.005 s
% 12.55/4.70 % (3002854)Peak memory usage: 89 MB
% 12.55/4.70 % (3002854)Instructions burned: 4 (million)
% 12.55/4.70 % (3002856)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3529201528:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 12.55/4.70 % (3002858)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3101846283:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 12.55/4.70 % (3002856)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002856)------------------------------
% 12.55/4.70 % (3002856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002856)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002856)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002856)Time elapsed: 0.074 s
% 12.55/4.70 % (3002856)Peak memory usage: 92 MB
% 12.55/4.70 % (3002856)Instructions burned: 149 (million)
% 12.55/4.70 % (3002854)------------------------------
% 12.55/4.70 % (3002854)------------------------------
% 12.55/4.70 % (3002856)------------------------------
% 12.55/4.70 % (3002856)------------------------------
% 12.55/4.70 % (3002862)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2093012374:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.55/4.70 % (3002862)Instruction limit reached!
% 12.55/4.70 % (3002862)------------------------------
% 12.55/4.70 % (3002862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002862)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002862)Termination reason: Instruction limit
% 12.55/4.70 % (3002862)Termination phase: Saturation
% 12.55/4.70 % (3002862)Time elapsed: 0.070 s
% 12.55/4.70 % (3002862)Peak memory usage: 92 MB
% 12.55/4.70 % (3002862)Instructions burned: 134 (million)
% 12.55/4.70 % (3002863)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=266135979:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 12.55/4.70 % (3002863)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002863)------------------------------
% 12.55/4.70 % (3002863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002863)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002863)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002863)Time elapsed: 0.010 s
% 12.55/4.70 % (3002863)Peak memory usage: 90 MB
% 12.55/4.70 % (3002863)Instructions burned: 31 (million)
% 12.55/4.70 % (3002865)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1485808310:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 12.55/4.70 % (3002863)------------------------------
% 12.55/4.70 % (3002863)------------------------------
% 12.55/4.70 % (3002868)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=2039217018:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 12.55/4.70 % (3002868)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002868)------------------------------
% 12.55/4.70 % (3002868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002868)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002868)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002868)Time elapsed: 0.006 s
% 12.55/4.70 % (3002868)Peak memory usage: 89 MB
% 12.55/4.70 % (3002868)Instructions burned: 20 (million)
% 12.55/4.70 % (3002868)------------------------------
% 12.55/4.70 % (3002868)------------------------------
% 12.55/4.70 % (3002870)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2597513848:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 12.55/4.70 % (3002870)Instruction limit reached!
% 12.55/4.70 % (3002870)------------------------------
% 12.55/4.70 % (3002870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002870)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002870)Termination reason: Instruction limit
% 12.55/4.70 % (3002870)Termination phase: Property scanning
% 12.55/4.70 % (3002870)Time elapsed: 0.034 s
% 12.55/4.70 % (3002870)Peak memory usage: 91 MB
% 12.55/4.70 % (3002870)Instructions burned: 137 (million)
% 12.55/4.70 % (3002847)Instruction limit reached!
% 12.55/4.70 % (3002847)------------------------------
% 12.55/4.70 % (3002847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002847)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002847)Termination reason: Instruction limit
% 12.55/4.70 % (3002847)Termination phase: Saturation
% 12.55/4.70 % (3002847)Time elapsed: 1.478 s
% 12.55/4.70 % (3002847)Peak memory usage: 155 MB
% 12.55/4.70 % (3002847)Instructions burned: 2350 (million)
% 12.55/4.70 % (3002872)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1513705732:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 12.55/4.70 % (3002872)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002872)------------------------------
% 12.55/4.70 % (3002872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002872)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002872)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002872)Time elapsed: 0.002 s
% 12.55/4.70 % (3002872)Peak memory usage: 89 MB
% 12.55/4.70 % (3002872)Instructions burned: 4 (million)
% 12.55/4.70 % (3002873)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1240566483:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 12.55/4.70 % (3002873)Refutation not found, incomplete strategy
% 12.55/4.70 % (3002873)------------------------------
% 12.55/4.70 % (3002873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002873)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002873)Termination reason: Refutation not found, incomplete strategy
% 12.55/4.70 % (3002873)Time elapsed: 0.004 s
% 12.55/4.70 % (3002873)Peak memory usage: 89 MB
% 12.55/4.70 % (3002873)Instructions burned: 4 (million)
% 12.55/4.70 % (3002872)------------------------------
% 12.55/4.70 % (3002872)------------------------------
% 12.55/4.70 % (3002876)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=3245270841:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 12.55/4.70 % (3002873)------------------------------
% 12.55/4.70 % (3002873)------------------------------
% 12.55/4.70 % (3002878)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=3113044264:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 12.55/4.70 % (3002878)Instruction limit reached!
% 12.55/4.70 % (3002878)------------------------------
% 12.55/4.70 % (3002878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.55/4.70 % (3002878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.55/4.70 % (3002878)CaDiCaL version: 2.1.3
% 12.55/4.70 % (3002878)Termination reason: Instruction limit
% 12.55/4.70 % (3002878)Termination phase: Saturation
% 12.55/4.70 % (3002878)Time elapsed: 0.069 s
% 12.55/4.70 % (3002878)Peak memory usage: 91 MB
% 12.55/4.70 % (3002878)Instructions burned: 150 (million)
% 12.55/4.70 % (3002880)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2142743586:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 12.55/4.70 % (3002826)First to succeed.
% 12.55/4.70 % (3002826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3002819"
% 12.55/4.70 % (3002826)Refutation found. Thanks to Tanya!
% 12.55/4.70 % SZS status Theorem for theBenchmark
% 12.55/4.70 % SZS output start Proof for theBenchmark
% See solution above
% 27.63/4.85 % (3002826)------------------------------
% 27.63/4.85 % (3002826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.63/4.85 % (3002826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.63/4.85 % (3002826)CaDiCaL version: 2.1.3
% 27.63/4.85 % (3002826)Termination reason: Refutation
% 27.63/4.85 % (3002826)Time elapsed: 3.381 s
% 27.63/4.85 % (3002826)Peak memory usage: 180 MB
% 27.63/4.85 % (3002826)Instructions burned: 5691 (million)
% 27.63/4.85 % (3002826)------------------------------
% 27.63/4.85 % (3002826)------------------------------
% 27.63/4.85 % (3002819)Success in time 3.868 s
% 27.63/4.85 % Vampire exiting
%------------------------------------------------------------------------------