%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM698+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:16:34 PM UTC 2026
% Result : Theorem 45.41s 8.33s
% Output : Refutation 53.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 67
% Syntax : Number of formulae : 371 ( 67 unt; 38 def)
% Number of atoms : 853 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 842 ( 360 ~; 380 |; 36 &)
% ( 59 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 43 ( 41 usr; 39 prp; 0-2 aty)
% Number of functors : 37 ( 37 usr; 23 con; 0-2 aty)
% Number of variables : 196 ( 0 sgn 194 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
<=> pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f26,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1))
<=> pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__moreis) ).
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X1),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f30,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__diffprop) ).
fof(f35,axiom,
! [X0] : scratc1111120387d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc1110661201d_n_is = scratc1592000840d_e_is(scratc1552585242nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc1592000840d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f110,axiom,
! [X0] : scratc979409864d_l_or(X0) = aa_boo1142376798l_bool(scratc1512064901nd_imp,scratc1202338934_d_not(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc1202338934_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1512064901nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1512064901nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2107418152_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f150,axiom,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz25) ).
fof(f195,axiom,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10h) ).
fof(f198,axiom,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10e) ).
fof(f337,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__42) ).
fof(f340,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0))
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__45) ).
fof(f379,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__84) ).
fof(f381,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__86) ).
fof(f399,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__104) ).
fof(f402,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__107) ).
fof(f412,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
=> pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__117) ).
fof(f418,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__123) ).
fof(f576,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f577,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f579,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f582,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f586,conjecture,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f587,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f586]) ).
fof(f588,plain,
~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f587]) ).
fof(f605,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2107418152_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f606,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2107418152_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f605]) ).
fof(f668,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0)) ) ),
inference(ennf_transformation,[],[f399]) ).
fof(f670,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0)) ) ),
inference(ennf_transformation,[],[f402]) ).
fof(f679,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
<=> ( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f412]) ).
fof(f680,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))) ) ),
inference(ennf_transformation,[],[f418]) ).
fof(f759,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f582]) ).
fof(f760,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f759]) ).
fof(f761,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f762,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f764,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f765,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f766,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),X2))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f805,plain,
! [X0] :
( ( pp(scratc1202338934_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1512064901nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1512064901nd_imp,X0),fFalse))
| ~ pp(scratc1202338934_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f828,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2107418152_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2107418152_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f606]) ).
fof(f829,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2107418152_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2107418152_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1)) ) ),
inference(rectify,[],[f828]) ).
fof(f830,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2107418152_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2107418152_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f829]) ).
fof(f891,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0))) )
& ( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ) ),
inference(nnf_transformation,[],[f337]) ).
fof(f894,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0))) )
& ( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0)) ) ),
inference(nnf_transformation,[],[f340]) ).
fof(f933,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f379]) ).
fof(f935,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f381]) ).
fof(f957,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f668]) ).
fof(f958,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f957]) ).
fof(f962,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f670]) ).
fof(f963,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(flattening,[],[f962]) ).
fof(f981,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
| ( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)) ) )
& ( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ) ),
inference(nnf_transformation,[],[f679]) ).
fof(f982,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1))
| ( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)) ) )
& ( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ) ),
inference(flattening,[],[f981]) ).
fof(f987,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
& pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(nnf_transformation,[],[f680]) ).
fof(f988,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
& pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ) ),
inference(flattening,[],[f987]) ).
fof(f1202,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f1210,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f761]) ).
fof(f1211,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)) ),
inference(cnf_transformation,[],[f762]) ).
fof(f1212,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc979409864d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f762]) ).
fof(f1215,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f764]) ).
fof(f1216,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f764]) ).
fof(f1217,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f765]) ).
fof(f1218,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f765]) ).
fof(f1219,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2)) ),
inference(cnf_transformation,[],[f766]) ).
fof(f1220,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),X2))) ),
inference(cnf_transformation,[],[f766]) ).
fof(f1229,plain,
! [X0] : scratc1111120387d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1255,plain,
scratc1110661201d_n_is = scratc1592000840d_e_is(scratc1552585242nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1319,plain,
! [X0] : scratc1592000840d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1333,plain,
! [X0] : aa_boo1142376798l_bool(scratc1512064901nd_imp,scratc1202338934_d_not(X0)) = scratc979409864d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f1339,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1512064901nd_imp,X0),fFalse))
| ~ pp(scratc1202338934_d_not(X0)) ),
inference(cnf_transformation,[],[f805]) ).
fof(f1340,plain,
! [X0] :
( pp(scratc1202338934_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1512064901nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f805]) ).
fof(f1341,plain,
scratc1512064901nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1403,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2107418152_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1)) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1404,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1405,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| scratc2107418152_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1406,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1410,plain,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f150]) ).
fof(f1455,plain,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gs)),
inference(cnf_transformation,[],[f195]) ).
fof(f1458,plain,
pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gy)),
inference(cnf_transformation,[],[f198]) ).
fof(f1668,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gy,X0)) ),
inference(cnf_transformation,[],[f891]) ).
fof(f1674,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gs,X0)) ),
inference(cnf_transformation,[],[f894]) ).
fof(f1752,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f933]) ).
fof(f1757,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f935]) ).
fof(f1795,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X1),X0)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f1796,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X1),scratc1461899370nd_n_1)),X0)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f1802,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1111120387d_n_pl(X0),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f963]) ).
fof(f1831,plain,
! [X0,X1] :
( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,X0),X1)) ),
inference(cnf_transformation,[],[f982]) ).
fof(f1843,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,X0),X1)) ),
inference(cnf_transformation,[],[f988]) ).
fof(f2223,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f576]) ).
fof(f2224,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f577]) ).
fof(f2226,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f2229,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f760]) ).
fof(f2233,plain,
~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f588]) ).
fof(f2236,plain,
! [X0] : scratc979409864d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(X0)),
inference(definition_unfolding,[],[f1333,f1341]) ).
fof(f2239,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
inference(definition_unfolding,[],[f1210,f2236]) ).
fof(f2241,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1))) ),
inference(definition_unfolding,[],[f1212,f2236]) ).
fof(f2242,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X0),X1)) ),
inference(definition_unfolding,[],[f1211,f2236]) ).
fof(f2243,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X1)),X2))) ),
inference(definition_unfolding,[],[f1220,f1229]) ).
fof(f2244,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X1)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1219,f1229]) ).
fof(f2258,plain,
scratc1110661201d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1255,f1319]) ).
fof(f2285,plain,
! [X0] :
( pp(scratc1202338934_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f1340,f1341]) ).
fof(f2286,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1202338934_d_not(X0)) ),
inference(definition_unfolding,[],[f1339,f1341]) ).
fof(f2306,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X1)),scratc1461899370nd_n_1)),X0)) ),
inference(definition_unfolding,[],[f1796,f1229]) ).
fof(f2311,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,X1),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(definition_unfolding,[],[f1802,f1229]) ).
fof(f2453,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2455,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f2456,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2233,f2453]) ).
fof(f2457,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f2455,f1404]) ).
fof(f2458,plain,
( scratc2107418152_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2455,f1405]) ).
fof(f2459,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f2455,f1406]) ).
fof(f2472,definition,
( spl29_2
<=> scratc2107418152_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2474,plain,
( scratc2107418152_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2472]) ).
fof(f2475,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2458,f2453,f2472]) ).
fof(f2477,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2479,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2477]) ).
fof(f2480,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2459,f2453,f2477]) ).
fof(f2481,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_3 ),
inference(resolution,[],[f2479,f1757]) ).
fof(f2519,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2521,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2522,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2457,f2453,f2519]) ).
fof(f2524,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2474,f1403]) ).
fof(f2525,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2524,f2521]) ).
fof(f2527,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2528,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2527]) ).
fof(f2529,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2525,f2519,f2472,f2527]) ).
fof(f2967,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gs))
| pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(resolution,[],[f2528,f1674]) ).
fof(f2970,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_gy))
| pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(resolution,[],[f2528,f1668]) ).
fof(f3056,plain,
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f2970,f1458]) ).
fof(f3059,plain,
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f2967,f1455]) ).
fof(f3168,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f3170,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f3168]) ).
fof(f3171,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2481,f2477,f3168]) ).
fof(f3173,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(resolution,[],[f3170,f1404]) ).
fof(f3174,plain,
( scratc2107418152_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f3170,f1405]) ).
fof(f3175,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_6 ),
inference(resolution,[],[f3170,f1406]) ).
fof(f3188,definition,
( spl29_7
<=> scratc2107418152_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f3190,plain,
( scratc2107418152_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f3188]) ).
fof(f3191,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f3174,f3168,f3188]) ).
fof(f3193,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f3195,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f3193]) ).
fof(f3196,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f3175,f3168,f3193]) ).
fof(f3197,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_8 ),
inference(resolution,[],[f3195,f1795]) ).
fof(f3198,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_8 ),
inference(resolution,[],[f3195,f2306]) ).
fof(f3244,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f3190,f1403]) ).
fof(f3245,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3244,f3173]) ).
fof(f3247,definition,
( spl29_9
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f3248,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),X0)) )
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f3247]) ).
fof(f3249,plain,
( spl29_9
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f3245,f3188,f3168,f3247]) ).
fof(f3644,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(resolution,[],[f3248,f1752]) ).
fof(f3823,plain,
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f3644,f1410]) ).
fof(f3888,definition,
( spl29_10
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f3890,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_10 ),
inference(avatar_component_clause,[],[f3888]) ).
fof(f3891,plain,
( ~ spl29_10
| spl29_8 ),
inference(avatar_split_clause,[],[f3198,f3193,f3888]) ).
fof(f3908,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_10 ),
inference(resolution,[],[f3890,f2239]) ).
fof(f3964,definition,
( spl29_13
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f3966,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f3964]) ).
fof(f3967,plain,
( spl29_13
| spl29_8 ),
inference(avatar_split_clause,[],[f3197,f3193,f3964]) ).
fof(f3968,plain,
( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_13 ),
inference(resolution,[],[f3966,f1215]) ).
fof(f4024,definition,
( spl29_14
<=> pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f4026,plain,
( pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f4024]) ).
fof(f4027,plain,
( spl29_14
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f3968,f3964,f4024]) ).
fof(f4028,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_14 ),
inference(resolution,[],[f4026,f1218]) ).
fof(f4197,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_4 ),
inference(resolution,[],[f2521,f2229]) ).
fof(f4214,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_4 ),
inference(forward_demodulation,[],[f4197,f2258]) ).
fof(f4218,definition,
( spl29_15
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f4220,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_15 ),
inference(avatar_component_clause,[],[f4218]) ).
fof(f4221,plain,
( ~ spl29_15
| spl29_10 ),
inference(avatar_split_clause,[],[f3908,f3888,f4218]) ).
fof(f4223,plain,
( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_15 ),
inference(resolution,[],[f4220,f2226]) ).
fof(f4237,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f4239,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f4237]) ).
fof(f4240,plain,
( spl29_16
| ~ spl29_14 ),
inference(avatar_split_clause,[],[f4028,f4024,f4237]) ).
fof(f4253,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_16 ),
inference(resolution,[],[f4239,f2311]) ).
fof(f4910,definition,
( spl29_34
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f4912,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_34 ),
inference(avatar_component_clause,[],[f4910]) ).
fof(f4914,definition,
( spl29_35
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))) ),
introduced(definition,[new_symbols(definition,[spl29_35])],[avatar_definition]) ).
fof(f4916,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f4914]) ).
fof(f4917,plain,
( ~ spl29_34
| spl29_35
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f4253,f4237,f4914,f4910]) ).
fof(f4926,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_5
| spl29_34 ),
inference(resolution,[],[f4912,f2528]) ).
fof(f4965,plain,
( $false
| ~ spl29_5
| ~ spl29_9
| spl29_34 ),
inference(forward_subsumption_resolution,[],[f4926,f3823]) ).
fof(f4966,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_34 ),
inference(avatar_contradiction_clause,[],[f4965]) ).
fof(f5059,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| ~ spl29_35 ),
inference(resolution,[],[f4916,f2242]) ).
fof(f5334,definition,
( spl29_44
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_44])],[avatar_definition]) ).
fof(f5335,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_44 ),
inference(avatar_component_clause,[],[f5334]) ).
fof(f5336,plain,
( spl29_44
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f4214,f2519,f5334]) ).
fof(f5411,plain,
( ! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),X1) = sK12(aTP_Lamm_a,aTP_Lamm_ab)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0),X1)) )
| ~ spl29_44 ),
inference(resolution,[],[f5335,f2244]) ).
fof(f5481,plain,
( ! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),X1) = sK12(aTP_Lamm_a,aTP_Lamm_ab)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0),X1)) )
| ~ spl29_44 ),
inference(forward_subsumption_resolution,[],[f5411,f1202]) ).
fof(f5486,definition,
( spl29_46
<=> pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_46])],[avatar_definition]) ).
fof(f5488,plain,
( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_46 ),
inference(avatar_component_clause,[],[f5486]) ).
fof(f5489,plain,
( spl29_46
| spl29_15 ),
inference(avatar_split_clause,[],[f4223,f4218,f5486]) ).
fof(f7062,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_46 ),
inference(resolution,[],[f5488,f2286]) ).
fof(f7217,definition,
( spl29_135
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_135])],[avatar_definition]) ).
fof(f7219,plain,
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_135 ),
inference(avatar_component_clause,[],[f7217]) ).
fof(f7220,plain,
( spl29_135
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3059,f2527,f7217]) ).
fof(f7996,definition,
( spl29_179
<=> pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_179])],[avatar_definition]) ).
fof(f7998,plain,
( pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_179 ),
inference(avatar_component_clause,[],[f7996]) ).
fof(f7999,plain,
( spl29_179
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3056,f2527,f7996]) ).
fof(f8231,definition,
( spl29_193
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))) ),
introduced(definition,[new_symbols(definition,[spl29_193])],[avatar_definition]) ).
fof(f8233,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| ~ spl29_193 ),
inference(avatar_component_clause,[],[f8231]) ).
fof(f8234,plain,
( spl29_193
| ~ spl29_35 ),
inference(avatar_split_clause,[],[f5059,f4914,f8231]) ).
fof(f8236,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| ~ spl29_193 ),
inference(resolution,[],[f8233,f2224]) ).
fof(f12699,definition,
( spl29_315
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_315])],[avatar_definition]) ).
fof(f12701,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_315 ),
inference(avatar_component_clause,[],[f12699]) ).
fof(f12702,plain,
( spl29_315
| ~ spl29_46 ),
inference(avatar_split_clause,[],[f7062,f5486,f12699]) ).
fof(f12704,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(fFalse)
| ~ spl29_315 ),
inference(resolution,[],[f12701,f2224]) ).
fof(f12716,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_315 ),
inference(forward_subsumption_resolution,[],[f12704,f2223]) ).
fof(f12718,definition,
( spl29_316
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_316])],[avatar_definition]) ).
fof(f12720,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_316 ),
inference(avatar_component_clause,[],[f12718]) ).
fof(f12721,plain,
( ~ spl29_316
| ~ spl29_315 ),
inference(avatar_split_clause,[],[f12716,f12699,f12718]) ).
fof(f12722,plain,
( ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| spl29_316 ),
inference(resolution,[],[f12720,f1216]) ).
fof(f12793,definition,
( spl29_317
<=> pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))) ),
introduced(definition,[new_symbols(definition,[spl29_317])],[avatar_definition]) ).
fof(f12795,plain,
( ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| spl29_317 ),
inference(avatar_component_clause,[],[f12793]) ).
fof(f12796,plain,
( ~ spl29_317
| spl29_316 ),
inference(avatar_split_clause,[],[f12722,f12718,f12793]) ).
fof(f12797,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| spl29_317 ),
inference(resolution,[],[f12795,f1217]) ).
fof(f16050,definition,
( spl29_377
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_377])],[avatar_definition]) ).
fof(f16051,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_377 ),
inference(avatar_component_clause,[],[f16050]) ).
fof(f16052,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_377 ),
inference(avatar_component_clause,[],[f16050]) ).
fof(f16243,definition,
( spl29_380
<=> pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_380])],[avatar_definition]) ).
fof(f16244,plain,
( ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_380 ),
inference(avatar_component_clause,[],[f16243]) ).
fof(f16247,plain,
( ~ pp(aa_fun171081125l_bool(scratc631456891n_some,aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_377 ),
inference(resolution,[],[f16051,f1216]) ).
fof(f16383,plain,
( ~ spl29_380
| spl29_377 ),
inference(avatar_split_clause,[],[f16247,f16050,f16243]) ).
fof(f16726,definition,
( spl29_390
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_390])],[avatar_definition]) ).
fof(f16727,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_390 ),
inference(avatar_component_clause,[],[f16726]) ).
fof(f16811,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_380 ),
inference(resolution,[],[f16244,f1217]) ).
fof(f16825,plain,
( ~ spl29_390
| spl29_380 ),
inference(avatar_split_clause,[],[f16811,f16243,f16726]) ).
fof(f16976,definition,
( spl29_395
<=> pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_395])],[avatar_definition]) ).
fof(f16977,plain,
( pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_395 ),
inference(avatar_component_clause,[],[f16976]) ).
fof(f16978,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_395 ),
inference(avatar_component_clause,[],[f16976]) ).
fof(f17030,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1511802498nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_395 ),
inference(resolution,[],[f16978,f1831]) ).
fof(f17045,definition,
( spl29_396
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_396])],[avatar_definition]) ).
fof(f17046,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_396 ),
inference(avatar_component_clause,[],[f17045]) ).
fof(f17047,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| spl29_396 ),
inference(avatar_component_clause,[],[f17045]) ).
fof(f17070,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_377
| spl29_395 ),
inference(forward_subsumption_resolution,[],[f17030,f16052]) ).
fof(f17137,definition,
( spl29_399
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_399])],[avatar_definition]) ).
fof(f17139,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_399 ),
inference(avatar_component_clause,[],[f17137]) ).
fof(f17140,plain,
( ~ spl29_399
| ~ spl29_377
| spl29_395 ),
inference(avatar_split_clause,[],[f17070,f16976,f16050,f17137]) ).
fof(f17149,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gr,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5
| spl29_399 ),
inference(resolution,[],[f17139,f2528]) ).
fof(f17188,plain,
( $false
| ~ spl29_5
| ~ spl29_135
| spl29_399 ),
inference(forward_subsumption_resolution,[],[f17149,f7219]) ).
fof(f17189,plain,
( ~ spl29_5
| ~ spl29_135
| spl29_399 ),
inference(avatar_contradiction_clause,[],[f17188]) ).
fof(f17279,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_395 ),
inference(resolution,[],[f16977,f2286]) ).
fof(f17289,plain,
( $false
| ~ spl29_395
| spl29_396 ),
inference(forward_subsumption_resolution,[],[f17279,f17047]) ).
fof(f17290,plain,
( ~ spl29_395
| spl29_396 ),
inference(avatar_contradiction_clause,[],[f17289]) ).
fof(f20358,definition,
( spl29_453
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_453])],[avatar_definition]) ).
fof(f20359,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_453 ),
inference(avatar_component_clause,[],[f20358]) ).
fof(f20360,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_453 ),
inference(avatar_component_clause,[],[f20358]) ).
fof(f20365,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_453 ),
inference(resolution,[],[f20360,f1843]) ).
fof(f24756,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(fFalse)
| ~ spl29_396 ),
inference(resolution,[],[f17046,f2224]) ).
fof(f24767,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_396 ),
inference(forward_subsumption_resolution,[],[f24756,f2223]) ).
fof(f24769,definition,
( spl29_552
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_552])],[avatar_definition]) ).
fof(f24771,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1032620262moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_552 ),
inference(avatar_component_clause,[],[f24769]) ).
fof(f24772,plain,
( ~ spl29_552
| ~ spl29_396 ),
inference(avatar_split_clause,[],[f24767,f17045,f24769]) ).
fof(f24785,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_552 ),
inference(resolution,[],[f24771,f2241]) ).
fof(f26248,definition,
( spl29_658
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_658])],[avatar_definition]) ).
fof(f26250,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_658 ),
inference(avatar_component_clause,[],[f26248]) ).
fof(f26252,definition,
( spl29_659
<=> pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_659])],[avatar_definition]) ).
fof(f26254,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_659 ),
inference(avatar_component_clause,[],[f26252]) ).
fof(f26255,plain,
( ~ spl29_658
| ~ spl29_659
| spl29_453 ),
inference(avatar_split_clause,[],[f20365,f20358,f26252,f26248]) ).
fof(f26265,plain,
( ~ pp(aa_fun171081125l_bool(scratc776971441all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gx,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5
| spl29_658 ),
inference(resolution,[],[f26250,f2528]) ).
fof(f26304,plain,
( $false
| ~ spl29_5
| ~ spl29_179
| spl29_658 ),
inference(forward_subsumption_resolution,[],[f26265,f7998]) ).
fof(f26305,plain,
( ~ spl29_5
| ~ spl29_179
| spl29_658 ),
inference(avatar_contradiction_clause,[],[f26304]) ).
fof(f26312,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| spl29_659 ),
inference(resolution,[],[f26254,f2285]) ).
fof(f26321,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))),X0))
| spl29_659 ),
inference(resolution,[],[f26254,f2226]) ).
fof(f26323,plain,
( $false
| spl29_552
| spl29_659 ),
inference(backward_subsumption_resolution,[],[f24785,f26321]) ).
fof(f26324,plain,
( spl29_552
| spl29_659 ),
inference(avatar_contradiction_clause,[],[f26323]) ).
fof(f26498,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))),X0))
| spl29_390 ),
inference(resolution,[],[f16727,f2226]) ).
fof(f26500,plain,
( $false
| spl29_390
| spl29_659 ),
inference(backward_subsumption_resolution,[],[f26312,f26498]) ).
fof(f26501,plain,
( spl29_390
| spl29_659 ),
inference(avatar_contradiction_clause,[],[f26500]) ).
fof(f29211,definition,
( spl29_727
<=> ! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),X1) = sK12(aTP_Lamm_a,aTP_Lamm_ab)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl29_727])],[avatar_definition]) ).
fof(f29212,plain,
( ! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,X0)),X1) = sK12(aTP_Lamm_a,aTP_Lamm_ab)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),X0),X1)) )
| ~ spl29_727 ),
inference(avatar_component_clause,[],[f29211]) ).
fof(f29213,plain,
( spl29_727
| ~ spl29_44 ),
inference(avatar_split_clause,[],[f5481,f5334,f29211]) ).
fof(f29402,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc898636650lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),scratc1461899370nd_n_1))
| spl29_10
| ~ spl29_727 ),
inference(superposition,[],[f3890,f29212]) ).
fof(f29539,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),scratc1461899370nd_n_1))
| spl29_10
| ~ spl29_453
| ~ spl29_727 ),
inference(forward_subsumption_resolution,[],[f29402,f20359]) ).
fof(f29557,definition,
( spl29_728
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),scratc1461899370nd_n_1)) ),
introduced(definition,[new_symbols(definition,[spl29_728])],[avatar_definition]) ).
fof(f29558,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),scratc1461899370nd_n_1))
| ~ spl29_728 ),
inference(avatar_component_clause,[],[f29557]) ).
fof(f29559,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1608659119ffprop(sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),scratc1461899370nd_n_1))
| spl29_728 ),
inference(avatar_component_clause,[],[f29557]) ).
fof(f29561,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1110661201d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| spl29_728 ),
inference(resolution,[],[f29559,f2243]) ).
fof(f29607,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| ~ spl29_193
| spl29_728 ),
inference(backward_subsumption_resolution,[],[f8236,f29561]) ).
fof(f29609,definition,
( spl29_729
<=> pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))) ),
introduced(definition,[new_symbols(definition,[spl29_729])],[avatar_definition]) ).
fof(f29611,plain,
( ~ pp(scratc1202338934_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))))
| spl29_729 ),
inference(avatar_component_clause,[],[f29609]) ).
fof(f29612,plain,
( ~ spl29_729
| ~ spl29_193
| spl29_728 ),
inference(avatar_split_clause,[],[f29607,f29557,f8231,f29609]) ).
fof(f29616,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))),fFalse))
| spl29_729 ),
inference(resolution,[],[f29611,f2285]) ).
fof(f29631,definition,
( spl29_730
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_730])],[avatar_definition]) ).
fof(f29633,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1))),fFalse))
| spl29_730 ),
inference(avatar_component_clause,[],[f29631]) ).
fof(f29634,plain,
( ~ spl29_730
| spl29_729 ),
inference(avatar_split_clause,[],[f29616,f29609,f29631]) ).
fof(f29636,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2059788932_29_ii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1718329782bnd_ap,aa_TPTP_ind_TPTP_ind(scratc984432929d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1461899370nd_n_1)))
| spl29_730 ),
inference(resolution,[],[f29633,f2226]) ).
fof(f29652,plain,
( $false
| spl29_317
| spl29_730 ),
inference(forward_subsumption_resolution,[],[f29636,f12797]) ).
fof(f29653,plain,
( spl29_317
| spl29_730 ),
inference(avatar_contradiction_clause,[],[f29652]) ).
fof(f29675,plain,
( $false
| spl29_10
| ~ spl29_453
| ~ spl29_727
| ~ spl29_728 ),
inference(forward_subsumption_resolution,[],[f29539,f29558]) ).
fof(f29676,plain,
( spl29_10
| ~ spl29_453
| ~ spl29_727
| ~ spl29_728 ),
inference(avatar_contradiction_clause,[],[f29675]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2456]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2475]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2522]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2529]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f3171]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f3191]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f3196]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_7
| spl29_9 ),
inference(sat_conversion,[],[f3249]) ).
cnf(s10,plain,
( spl29_8
| ~ spl29_10 ),
inference(sat_conversion,[],[f3891]) ).
cnf(s13,plain,
( spl29_8
| spl29_13 ),
inference(sat_conversion,[],[f3967]) ).
cnf(s14,plain,
( ~ spl29_13
| spl29_14 ),
inference(sat_conversion,[],[f4027]) ).
cnf(s15,plain,
( spl29_10
| ~ spl29_15 ),
inference(sat_conversion,[],[f4221]) ).
cnf(s16,plain,
( ~ spl29_14
| spl29_16 ),
inference(sat_conversion,[],[f4240]) ).
cnf(s33,plain,
( ~ spl29_16
| ~ spl29_34
| spl29_35 ),
inference(sat_conversion,[],[f4917]) ).
cnf(s34,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_34 ),
inference(sat_conversion,[],[f4966]) ).
cnf(s43,plain,
( ~ spl29_4
| spl29_44 ),
inference(sat_conversion,[],[f5336]) ).
cnf(s46,plain,
( spl29_15
| spl29_46 ),
inference(sat_conversion,[],[f5489]) ).
cnf(s135,plain,
( ~ spl29_5
| spl29_135 ),
inference(sat_conversion,[],[f7220]) ).
cnf(s179,plain,
( ~ spl29_5
| spl29_179 ),
inference(sat_conversion,[],[f7999]) ).
cnf(s193,plain,
( ~ spl29_35
| spl29_193 ),
inference(sat_conversion,[],[f8234]) ).
cnf(s314,plain,
( ~ spl29_46
| spl29_315 ),
inference(sat_conversion,[],[f12702]) ).
cnf(s315,plain,
( ~ spl29_315
| ~ spl29_316 ),
inference(sat_conversion,[],[f12721]) ).
cnf(s316,plain,
( spl29_316
| ~ spl29_317 ),
inference(sat_conversion,[],[f12796]) ).
cnf(s379,plain,
( spl29_377
| ~ spl29_380 ),
inference(sat_conversion,[],[f16383]) ).
cnf(s390,plain,
( spl29_380
| ~ spl29_390 ),
inference(sat_conversion,[],[f16825]) ).
cnf(s400,plain,
( ~ spl29_377
| spl29_395
| ~ spl29_399 ),
inference(sat_conversion,[],[f17140]) ).
cnf(s401,plain,
( ~ spl29_5
| ~ spl29_135
| spl29_399 ),
inference(sat_conversion,[],[f17189]) ).
cnf(s402,plain,
( ~ spl29_395
| spl29_396 ),
inference(sat_conversion,[],[f17290]) ).
cnf(s557,plain,
( ~ spl29_396
| ~ spl29_552 ),
inference(sat_conversion,[],[f24772]) ).
cnf(s664,plain,
( spl29_453
| ~ spl29_658
| ~ spl29_659 ),
inference(sat_conversion,[],[f26255]) ).
cnf(s665,plain,
( ~ spl29_5
| ~ spl29_179
| spl29_658 ),
inference(sat_conversion,[],[f26305]) ).
cnf(s667,plain,
( spl29_552
| spl29_659 ),
inference(sat_conversion,[],[f26324]) ).
cnf(s670,plain,
( spl29_390
| spl29_659 ),
inference(sat_conversion,[],[f26501]) ).
cnf(s738,plain,
( ~ spl29_44
| spl29_727 ),
inference(sat_conversion,[],[f29213]) ).
cnf(s740,plain,
( ~ spl29_193
| spl29_728
| ~ spl29_729 ),
inference(sat_conversion,[],[f29612]) ).
cnf(s741,plain,
( spl29_729
| ~ spl29_730 ),
inference(sat_conversion,[],[f29634]) ).
cnf(s742,plain,
( spl29_317
| spl29_730 ),
inference(sat_conversion,[],[f29653]) ).
cnf(s745,plain,
( spl29_10
| ~ spl29_453
| ~ spl29_727
| ~ spl29_728 ),
inference(sat_conversion,[],[f29676]) ).
cnf(s748,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s749,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s750,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s755,plain,
spl29_44,
inference(rat,[],[s43,s748]) ).
cnf(s764,plain,
~ spl29_6,
inference(rat,[],[s6,s749]) ).
cnf(s765,plain,
spl29_5,
inference(rat,[],[s5,s748,s750]) ).
cnf(s767,plain,
spl29_727,
inference(rat,[],[s738,s755]) ).
cnf(s775,plain,
~ spl29_8,
inference(rat,[],[s8,s764]) ).
cnf(s776,plain,
spl29_7,
inference(rat,[],[s7,s764]) ).
cnf(s794,plain,
spl29_179,
inference(rat,[],[s179,s765]) ).
cnf(s834,plain,
spl29_135,
inference(rat,[],[s135,s765]) ).
cnf(s865,plain,
spl29_13,
inference(rat,[],[s13,s775]) ).
cnf(s867,plain,
~ spl29_10,
inference(rat,[],[s10,s775]) ).
cnf(s868,plain,
spl29_9,
inference(rat,[],[s9,s764,s776]) ).
cnf(s892,plain,
spl29_658,
inference(rat,[],[s665,s765,s794]) ).
cnf(s965,plain,
spl29_399,
inference(rat,[],[s401,s765,s834]) ).
cnf(s989,plain,
spl29_14,
inference(rat,[],[s14,s865]) ).
cnf(s1000,plain,
~ spl29_15,
inference(rat,[],[s15,s867]) ).
cnf(s1081,plain,
spl29_34,
inference(rat,[],[s34,s765,s868]) ).
cnf(s1098,plain,
spl29_16,
inference(rat,[],[s16,s989]) ).
cnf(s1102,plain,
spl29_46,
inference(rat,[],[s46,s1000]) ).
cnf(s1271,plain,
spl29_35,
inference(rat,[],[s33,s1081,s1098]) ).
cnf(s1273,plain,
spl29_315,
inference(rat,[],[s314,s1102]) ).
cnf(s1393,plain,
spl29_193,
inference(rat,[],[s193,s1271]) ).
cnf(s1396,plain,
~ spl29_316,
inference(rat,[],[s315,s1273]) ).
cnf(s1409,plain,
~ spl29_317,
inference(rat,[],[s316,s1396]) ).
cnf(s1420,plain,
spl29_730,
inference(rat,[],[s742,s1409]) ).
cnf(s1429,plain,
spl29_729,
inference(rat,[],[s741,s1420]) ).
cnf(s1431,plain,
spl29_728,
inference(rat,[],[s740,s1393,s1429]) ).
cnf(s1432,plain,
~ spl29_453,
inference(rat,[],[s745,s867,s767,s1431]) ).
cnf(s1434,plain,
~ spl29_659,
inference(rat,[],[s664,s892,s1432]) ).
cnf(s1436,plain,
spl29_390,
inference(rat,[],[s670,s1434]) ).
cnf(s1437,plain,
spl29_552,
inference(rat,[],[s667,s1434]) ).
cnf(s1438,plain,
spl29_380,
inference(rat,[],[s390,s1436]) ).
cnf(s1439,plain,
~ spl29_396,
inference(rat,[],[s557,s1437]) ).
cnf(s1440,plain,
spl29_377,
inference(rat,[],[s379,s1438]) ).
cnf(s1441,plain,
~ spl29_395,
inference(rat,[],[s402,s1439]) ).
cnf(s1442,plain,
$false,
inference(rat,[],[s400,s965,s1441,s1440]) ).
fof(f29835,plain,
$false,
inference(avatar_sat_refutation,[],[s1442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM698+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n010.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 21:08:32 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.74/2.65 % (1306128)Detected formulas, will run a generic FOF schedule.
% 11.74/2.65 % (1306134)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=4107497190:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.74/2.65 % (1306135)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=208030091:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.74/2.65 % (1306133)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=2449113725:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.74/2.65 % (1306139)dis-21_1_sil=8000:lcm=predicate:random_seed=3125311085:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.74/2.65 % (1306138)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=368269324:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.74/2.65 % (1306136)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1427727224:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.74/2.65 % (1306137)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1311231746:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.74/2.65 % (1306136)Refutation not found, incomplete strategy
% 11.74/2.65 % (1306136)------------------------------
% 11.74/2.65 % (1306136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.65 % (1306136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.65 % (1306136)CaDiCaL version: 2.1.3
% 11.74/2.65 % (1306136)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.65 % (1306136)Time elapsed: 0.003 s
% 11.74/2.65 % (1306136)Peak memory usage: 87 MB
% 11.74/2.65 % (1306136)Instructions burned: 2 (million)
% 11.74/2.65 % (1306137)Refutation not found, incomplete strategy
% 11.74/2.65 % (1306137)------------------------------
% 11.74/2.65 % (1306137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.65 % (1306137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.65 % (1306137)CaDiCaL version: 2.1.3
% 11.74/2.65 % (1306137)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.65 % (1306137)Time elapsed: 0.003 s
% 11.74/2.65 % (1306137)Peak memory usage: 88 MB
% 11.74/2.65 % (1306137)Instructions burned: 3 (million)
% 11.74/2.65 % (1306139)Instruction limit reached!
% 11.74/2.65 % (1306139)------------------------------
% 11.74/2.65 % (1306139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.65 % (1306139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.65 % (1306139)CaDiCaL version: 2.1.3
% 11.74/2.65 % (1306139)Termination reason: Instruction limit
% 11.74/2.65 % (1306139)Termination phase: Saturation
% 11.74/2.65 % (1306139)Time elapsed: 0.071 s
% 11.74/2.65 % (1306139)Peak memory usage: 90 MB
% 11.74/2.65 % (1306139)Instructions burned: 129 (million)
% 11.74/2.65 % (1306138)Instruction limit reached!
% 11.74/2.65 % (1306138)------------------------------
% 11.74/2.65 % (1306138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.65 % (1306138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.65 % (1306138)CaDiCaL version: 2.1.3
% 11.74/2.65 % (1306138)Termination reason: Instruction limit
% 11.74/2.65 % (1306138)Termination phase: Saturation
% 11.74/2.65 % (1306138)Time elapsed: 0.081 s
% 11.74/2.65 % (1306138)Peak memory usage: 90 MB
% 11.74/2.65 % (1306138)Instructions burned: 140 (million)
% 11.74/2.65 % (1306147)lrs+10_1_sil=8000:sp=occurrence:random_seed=2952013486:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.74/2.65 % (1306147)Refutation not found, incomplete strategy
% 11.74/2.65 % (1306147)------------------------------
% 11.74/2.65 % (1306147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.74/2.65 % (1306147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.74/2.65 % (1306147)CaDiCaL version: 2.1.3
% 11.74/2.65 % (1306147)Termination reason: Refutation not found, incomplete strategy
% 11.74/2.65 % (1306147)Time elapsed: 0.003 s
% 11.74/2.65 % (1306147)Peak memory usage: 88 MB
% 11.74/2.65 % (1306147)Instructions burned: 2 (million)
% 11.74/2.65 % (1306136)------------------------------
% 20.69/3.89 % (1306136)------------------------------
% 20.69/3.89 % (1306137)------------------------------
% 20.69/3.89 % (1306137)------------------------------
% 20.69/3.89 % (1306148)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3228546112:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 20.69/3.89 % (1306148)Refutation not found, incomplete strategy
% 20.69/3.89 % (1306148)------------------------------
% 20.69/3.89 % (1306148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/3.89 % (1306148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.89 % (1306148)CaDiCaL version: 2.1.3
% 20.69/3.89 % (1306148)Termination reason: Refutation not found, incomplete strategy
% 20.69/3.89 % (1306148)Time elapsed: 0.005 s
% 20.69/3.89 % (1306148)Peak memory usage: 88 MB
% 20.69/3.89 % (1306148)Instructions burned: 9 (million)
% 20.69/3.89 % (1306153)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=370104870:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.69/3.89 % (1306152)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1623377380:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.69/3.89 % (1306152)Refutation not found, incomplete strategy
% 20.69/3.89 % (1306152)------------------------------
% 20.69/3.89 % (1306152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/3.89 % (1306152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.89 % (1306152)CaDiCaL version: 2.1.3
% 20.69/3.89 % (1306152)Termination reason: Refutation not found, incomplete strategy
% 20.69/3.89 % (1306152)Time elapsed: 0.005 s
% 20.69/3.89 % (1306152)Peak memory usage: 89 MB
% 20.69/3.89 % (1306152)Instructions burned: 5 (million)
% 20.69/3.89 % (1306147)------------------------------
% 20.69/3.89 % (1306147)------------------------------
% 20.69/3.89 % (1306148)------------------------------
% 20.69/3.89 % (1306148)------------------------------
% 20.69/3.89 % (1306153)Instruction limit reached!
% 20.69/3.89 % (1306153)------------------------------
% 20.69/3.89 % (1306153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/3.89 % (1306153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.89 % (1306153)CaDiCaL version: 2.1.3
% 20.69/3.89 % (1306153)Termination reason: Instruction limit
% 20.69/3.89 % (1306153)Termination phase: Saturation
% 20.69/3.89 % (1306153)Time elapsed: 0.116 s
% 20.69/3.89 % (1306153)Peak memory usage: 90 MB
% 20.69/3.89 % (1306153)Instructions burned: 248 (million)
% 20.69/3.89 % (1306156)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2880031753:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.69/3.89 % (1306156)Refutation not found, incomplete strategy
% 20.69/3.89 % (1306156)------------------------------
% 20.69/3.89 % (1306156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/3.89 % (1306156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.89 % (1306156)CaDiCaL version: 2.1.3
% 20.69/3.89 % (1306156)Termination reason: Refutation not found, incomplete strategy
% 20.69/3.89 % (1306156)Time elapsed: 0.005 s
% 20.69/3.89 % (1306156)Peak memory usage: 89 MB
% 20.69/3.89 % (1306156)Instructions burned: 7 (million)
% 20.69/3.89 % (1306152)------------------------------
% 20.69/3.89 % (1306152)------------------------------
% 20.69/3.89 % (1306157)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1530271844:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 20.69/3.89 % (1306158)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=359781549:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 20.69/3.89 % (1306158)Instruction limit reached!
% 20.69/3.89 % (1306158)------------------------------
% 20.69/3.89 % (1306158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.69/3.89 % (1306158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.69/3.89 % (1306158)CaDiCaL version: 2.1.3
% 20.69/3.89 % (1306158)Termination reason: Instruction limit
% 20.69/3.89 % (1306158)Termination phase: Saturation
% 20.69/3.89 % (1306158)Time elapsed: 0.059 s
% 20.69/3.89 % (1306158)Peak memory usage: 91 MB
% 20.69/3.89 % (1306158)Instructions burned: 114 (million)
% 20.69/3.89 % (1306161)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4116539618:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 48.03/7.69 % (1306161)Instruction limit reached!
% 48.03/7.69 % (1306161)------------------------------
% 48.03/7.69 % (1306161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306161)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306161)Termination reason: Instruction limit
% 48.03/7.69 % (1306161)Termination phase: Saturation
% 48.03/7.69 % (1306161)Time elapsed: 0.060 s
% 48.03/7.69 % (1306161)Peak memory usage: 89 MB
% 48.03/7.69 % (1306161)Instructions burned: 128 (million)
% 48.03/7.69 % (1306156)------------------------------
% 48.03/7.69 % (1306156)------------------------------
% 48.03/7.69 % (1306163)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3839857693:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 48.03/7.69 % (1306163)Instruction limit reached!
% 48.03/7.69 % (1306163)------------------------------
% 48.03/7.69 % (1306163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306163)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306163)Termination reason: Instruction limit
% 48.03/7.69 % (1306163)Termination phase: Saturation
% 48.03/7.69 % (1306163)Time elapsed: 0.062 s
% 48.03/7.69 % (1306163)Peak memory usage: 90 MB
% 48.03/7.69 % (1306163)Instructions burned: 115 (million)
% 48.03/7.69 % (1306165)lrs+10_1_sil=8000:sp=occurrence:random_seed=1113233219:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 48.03/7.69 % (1306166)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3131335737:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 48.03/7.69 % (1306166)Refutation not found, incomplete strategy
% 48.03/7.69 % (1306166)------------------------------
% 48.03/7.69 % (1306166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306166)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306166)Termination reason: Refutation not found, incomplete strategy
% 48.03/7.69 % (1306166)Time elapsed: 0.042 s
% 48.03/7.69 % (1306166)Peak memory usage: 90 MB
% 48.03/7.69 % (1306166)Instructions burned: 82 (million)
% 48.03/7.69 % (1306168)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3206493860:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 48.03/7.69 % (1306166)------------------------------
% 48.03/7.69 % (1306166)------------------------------
% 48.03/7.69 % (1306165)Instruction limit reached!
% 48.03/7.69 % (1306165)------------------------------
% 48.03/7.69 % (1306165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306165)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306165)Termination reason: Instruction limit
% 48.03/7.69 % (1306165)Termination phase: Saturation
% 48.03/7.69 % (1306165)Time elapsed: 0.373 s
% 48.03/7.69 % (1306165)Peak memory usage: 95 MB
% 48.03/7.69 % (1306165)Instructions burned: 908 (million)
% 48.03/7.69 % (1306172)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4179454939:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 48.03/7.69 % (1306173)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2256545677:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 48.03/7.69 % (1306173)Refutation not found, incomplete strategy
% 48.03/7.69 % (1306173)------------------------------
% 48.03/7.69 % (1306173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306173)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306173)Termination reason: Refutation not found, incomplete strategy
% 48.03/7.69 % (1306173)Time elapsed: 0.013 s
% 48.03/7.69 % (1306173)Peak memory usage: 89 MB
% 48.03/7.69 % (1306173)Instructions burned: 23 (million)
% 48.03/7.69 % (1306172)Instruction limit reached!
% 48.03/7.69 % (1306172)------------------------------
% 48.03/7.69 % (1306172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.03/7.69 % (1306172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.03/7.69 % (1306172)CaDiCaL version: 2.1.3
% 48.03/7.69 % (1306172)Termination reason: Instruction limit
% 45.41/8.33 % (1306172)Termination phase: Saturation
% 45.41/8.33 % (1306172)Time elapsed: 0.074 s
% 45.41/8.33 % (1306172)Peak memory usage: 94 MB
% 45.41/8.33 % (1306172)Instructions burned: 135 (million)
% 45.41/8.33 % (1306176)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4258520230:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 45.41/8.33 % (1306173)------------------------------
% 45.41/8.33 % (1306173)------------------------------
% 45.41/8.33 % (1306178)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=3487035896:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 45.41/8.33 % (1306178)Refutation not found, incomplete strategy
% 45.41/8.33 % (1306178)------------------------------
% 45.41/8.33 % (1306178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306178)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306178)Termination reason: Refutation not found, incomplete strategy
% 45.41/8.33 % (1306178)Time elapsed: 0.007 s
% 45.41/8.33 % (1306178)Peak memory usage: 89 MB
% 45.41/8.33 % (1306178)Instructions burned: 12 (million)
% 45.41/8.33 % (1306157)Instruction limit reached!
% 45.41/8.33 % (1306157)------------------------------
% 45.41/8.33 % (1306157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306157)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306157)Termination reason: Instruction limit
% 45.41/8.33 % (1306157)Termination phase: Saturation
% 45.41/8.33 % (1306157)Time elapsed: 1.559 s
% 45.41/8.33 % (1306157)Peak memory usage: 144 MB
% 45.41/8.33 % (1306157)Instructions burned: 2351 (million)
% 45.41/8.33 % (1306178)------------------------------
% 45.41/8.33 % (1306178)------------------------------
% 45.41/8.33 % (1306180)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1043760049:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 45.41/8.33 % (1306181)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3430293192:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/141Mi)
% 45.41/8.33 % (1306181)Refutation not found, incomplete strategy
% 45.41/8.33 % (1306181)------------------------------
% 45.41/8.33 % (1306181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306181)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306181)Termination reason: Refutation not found, incomplete strategy
% 45.41/8.33 % (1306181)Time elapsed: 0.003 s
% 45.41/8.33 % (1306181)Peak memory usage: 89 MB
% 45.41/8.33 % (1306181)Instructions burned: 2 (million)
% 45.41/8.33 % (1306180)Instruction limit reached!
% 45.41/8.33 % (1306180)------------------------------
% 45.41/8.33 % (1306180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306180)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306180)Termination reason: Instruction limit
% 45.41/8.33 % (1306180)Termination phase: Saturation
% 45.41/8.33 % (1306180)Time elapsed: 0.064 s
% 45.41/8.33 % (1306180)Peak memory usage: 92 MB
% 45.41/8.33 % (1306180)Instructions burned: 135 (million)
% 45.41/8.33 % (1306184)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=41007246:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2973 on theBenchmark for (2973ds/431Mi)
% 45.41/8.33 % (1306184)Refutation not found, incomplete strategy
% 45.41/8.33 % (1306184)------------------------------
% 45.41/8.33 % (1306184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306184)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306184)Termination reason: Refutation not found, incomplete strategy
% 45.41/8.33 % (1306184)Time elapsed: 0.003 s
% 45.41/8.33 % (1306184)Peak memory usage: 89 MB
% 45.41/8.33 % (1306184)Instructions burned: 3 (million)
% 45.41/8.33 % (1306181)------------------------------
% 45.41/8.33 % (1306181)------------------------------
% 45.41/8.33 % (1306186)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=4293818548:i=6060:aac=none:ins=25_2971 on theBenchmark for (2971ds/6060Mi)
% 45.41/8.33 % (1306184)------------------------------
% 45.41/8.33 % (1306184)------------------------------
% 45.41/8.33 % (1306188)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=3099684128:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2969 on theBenchmark for (2969ds/150Mi)
% 45.41/8.33 % (1306188)Instruction limit reached!
% 45.41/8.33 % (1306188)------------------------------
% 45.41/8.33 % (1306188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306188)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306188)Termination reason: Instruction limit
% 45.41/8.33 % (1306188)Termination phase: Saturation
% 45.41/8.33 % (1306188)Time elapsed: 0.078 s
% 45.41/8.33 % (1306188)Peak memory usage: 91 MB
% 45.41/8.33 % (1306188)Instructions burned: 151 (million)
% 45.41/8.33 % (1306190)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2312224678:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 45.41/8.33 % (1306168)Instruction limit reached!
% 45.41/8.33 % (1306168)------------------------------
% 45.41/8.33 % (1306168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306168)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306168)Termination reason: Instruction limit
% 45.41/8.33 % (1306168)Termination phase: Saturation
% 45.41/8.33 % (1306168)Time elapsed: 3.312 s
% 45.41/8.33 % (1306168)Peak memory usage: 162 MB
% 45.41/8.33 % (1306168)Instructions burned: 5204 (million)
% 45.41/8.33 % (1306192)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=472350407:i=667:av=off:fsr=off_2953 on theBenchmark for (2953ds/667Mi)
% 45.41/8.33 % (1306192)Instruction limit reached!
% 45.41/8.33 % (1306192)------------------------------
% 45.41/8.33 % (1306192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306192)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306192)Termination reason: Instruction limit
% 45.41/8.33 % (1306192)Termination phase: Saturation
% 45.41/8.33 % (1306192)Time elapsed: 0.320 s
% 45.41/8.33 % (1306192)Peak memory usage: 100 MB
% 45.41/8.33 % (1306192)Instructions burned: 668 (million)
% 45.41/8.33 % (1306194)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2153706840:s2a=on:i=185:s2at=1.8:fdi=4_2948 on theBenchmark for (2948ds/185Mi)
% 45.41/8.33 % (1306194)Instruction limit reached!
% 45.41/8.33 % (1306194)------------------------------
% 45.41/8.33 % (1306194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306194)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306194)Termination reason: Instruction limit
% 45.41/8.33 % (1306194)Termination phase: Saturation
% 45.41/8.33 % (1306194)Time elapsed: 0.080 s
% 45.41/8.33 % (1306194)Peak memory usage: 91 MB
% 45.41/8.33 % (1306194)Instructions burned: 186 (million)
% 45.41/8.33 % (1306196)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2423477951:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2946 on theBenchmark for (2946ds/193Mi)
% 45.41/8.33 % (1306196)Refutation not found, incomplete strategy
% 45.41/8.33 % (1306196)------------------------------
% 45.41/8.33 % (1306196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306196)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306196)Termination reason: Refutation not found, incomplete strategy
% 45.41/8.33 % (1306196)Time elapsed: 0.005 s
% 45.41/8.33 % (1306196)Peak memory usage: 89 MB
% 45.41/8.33 % (1306196)Instructions burned: 5 (million)
% 45.41/8.33 % (1306196)------------------------------
% 45.41/8.33 % (1306196)------------------------------
% 45.41/8.33 % (1306198)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3311407462:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2941 on theBenchmark for (2941ds/4850Mi)
% 45.41/8.33 % (1306186)Instruction limit reached!
% 45.41/8.33 % (1306186)------------------------------
% 45.41/8.33 % (1306186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.41/8.33 % (1306186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.41/8.33 % (1306186)CaDiCaL version: 2.1.3
% 45.41/8.33 % (1306186)Termination reason: Instruction limit
% 45.41/8.33 % (1306186)Termination phase: Saturation
% 45.41/8.33 % (1306186)Time elapsed: 3.805 s
% 45.41/8.33 % (1306186)Peak memory usage: 166 MB
% 45.41/8.33 % (1306186)Instructions burned: 6060 (million)
% 45.41/8.33 % (1306200)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3743792005:i=12111:sd=1:ss=included_2931 on theBenchmark for (2931ds/12111Mi)
% 45.41/8.33 % (1306135)First to succeed.
% 45.41/8.33 % (1306135)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1306128"
% 45.41/8.33 % (1306135)Refutation found. Thanks to Tanya!
% 45.41/8.33 % SZS status Theorem for theBenchmark
% 45.41/8.33 % SZS output start Proof for theBenchmark
% See solution above
% 53.25/8.53 % (1306135)------------------------------
% 53.25/8.53 % (1306135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.25/8.53 % (1306135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.25/8.53 % (1306135)CaDiCaL version: 2.1.3
% 53.25/8.53 % (1306135)Termination reason: Refutation
% 53.25/8.53 % (1306135)Time elapsed: 6.945 s
% 53.25/8.53 % (1306135)Peak memory usage: 227 MB
% 53.25/8.53 % (1306135)Instructions burned: 11315 (million)
% 53.25/8.53 % (1306135)------------------------------
% 53.25/8.53 % (1306135)------------------------------
% 53.25/8.53 % (1306128)Success in time 7.472 s
% 53.25/8.53 % Vampire exiting
%------------------------------------------------------------------------------