%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM700+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 : n007.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 12:16:35 PM UTC 2026
% Result : Theorem 141.48s 21.86s
% Output : Refutation 149.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 39
% Syntax : Number of formulae : 209 ( 37 unt; 1 def)
% Number of atoms : 687 ( 17 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 851 ( 373 ~; 398 |; 44 &)
% ( 28 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 28 con; 0-3 aty)
% Number of variables : 309 ( 0 sgn 307 !; 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(scratc1838860720lessis,X0),X1))
<=> pp(aa_bool_bool(scratc1684536322d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(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(scratc1157286078_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f53,axiom,
scratc1815787659d_n_is = scratc149643650d_e_is(scratc694218580nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc149643650d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f104,axiom,
! [X0,X1,X2] :
( pp(scratc703595203nd_or3(X0,X1,X2))
<=> pp(aa_bool_bool(scratc1684536322d_l_or(X0),aa_bool_bool(scratc1684536322d_l_or(X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__or3) ).
fof(f110,axiom,
! [X0] : scratc1684536322d_l_or(X0) = aa_boo1142376798l_bool(scratc653698239nd_imp,scratc2142563004_d_not(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc2142563004_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc653698239nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc900158574_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f152,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_bx)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz25) ).
fof(f200,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hc)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10e) ).
fof(f201,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_he)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10d) ).
fof(f202,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz10c) ).
fof(f211,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz9a) ).
fof(f222,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ix)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz4e) ).
fof(f235,axiom,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_jr)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_suc__p) ).
fof(f304,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__7) ).
fof(f308,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0))
<=> scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__11) ).
fof(f328,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hx,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__31) ).
fof(f337,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hf,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__40) ).
fof(f338,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__41) ).
fof(f339,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__42) ).
fof(f381,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__84) ).
fof(f385,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__88) ).
fof(f395,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
<=> pp(scratc703595203nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__98) ).
fof(f401,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__104) ).
fof(f408,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__111) ).
fof(f416,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1))
=> pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__119) ).
fof(f417,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
=> pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__120) ).
fof(f424,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
<=> ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__127) ).
fof(f582,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f583,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(f584,axiom,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f585,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(f588,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(f592,conjecture,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f593,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f592]) ).
fof(f594,plain,
~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f593]) ).
fof(f611,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc900158574_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f612,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc900158574_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f611]) ).
fof(f674,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) ) ),
inference(ennf_transformation,[],[f401]) ).
fof(f678,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0)) ) ),
inference(ennf_transformation,[],[f408]) ).
fof(f685,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
<=> ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f416]) ).
fof(f686,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
<=> ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f417]) ).
fof(f688,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))) ) ),
inference(ennf_transformation,[],[f424]) ).
fof(f767,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,[],[f588]) ).
fof(f768,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,[],[f767]) ).
fof(f769,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1684536322d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc1684536322d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f772,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f773,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f808,plain,
! [X0,X1,X2] :
( ( pp(scratc703595203nd_or3(X0,X1,X2))
| ~ pp(aa_bool_bool(scratc1684536322d_l_or(X0),aa_bool_bool(scratc1684536322d_l_or(X1),X2))) )
& ( pp(aa_bool_bool(scratc1684536322d_l_or(X0),aa_bool_bool(scratc1684536322d_l_or(X1),X2)))
| ~ pp(scratc703595203nd_or3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f813,plain,
! [X0] :
( ( pp(scratc2142563004_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),fFalse))
| ~ pp(scratc2142563004_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f836,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc900158574_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc900158574_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f612]) ).
fof(f837,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc900158574_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc900158574_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1)) ) ),
inference(rectify,[],[f836]) ).
fof(f838,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc900158574_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc900158574_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f837]) ).
fof(f864,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ) ),
inference(nnf_transformation,[],[f304]) ).
fof(f868,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0))
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a) )
& ( scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0)) ) ),
inference(nnf_transformation,[],[f308]) ).
fof(f888,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hx,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ) ),
inference(nnf_transformation,[],[f328]) ).
fof(f897,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hf,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0)) ) ),
inference(nnf_transformation,[],[f337]) ).
fof(f898,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0)) ) ),
inference(nnf_transformation,[],[f338]) ).
fof(f899,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0)) ) ),
inference(nnf_transformation,[],[f339]) ).
fof(f941,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ) ),
inference(nnf_transformation,[],[f381]) ).
fof(f945,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f385]) ).
fof(f958,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| ~ pp(scratc703595203nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))) )
& ( pp(scratc703595203nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1)) ) ),
inference(nnf_transformation,[],[f395]) ).
fof(f965,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f674]) ).
fof(f966,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f965]) ).
fof(f976,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
inference(nnf_transformation,[],[f678]) ).
fof(f977,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ) ),
inference(flattening,[],[f976]) ).
fof(f991,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
| ( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1)) ) )
& ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1)) ) ),
inference(nnf_transformation,[],[f685]) ).
fof(f992,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
| ( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1)) ) )
& ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1)) ) ),
inference(flattening,[],[f991]) ).
fof(f993,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ) )
& ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ) ),
inference(nnf_transformation,[],[f686]) ).
fof(f994,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ) )
& ( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ) ),
inference(flattening,[],[f993]) ).
fof(f1001,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
& pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1)) ) ),
inference(nnf_transformation,[],[f688]) ).
fof(f1002,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
& pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1)) ) ),
inference(flattening,[],[f1001]) ).
fof(f1216,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(scratc1684536322d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ),
inference(cnf_transformation,[],[f769]) ).
fof(f1229,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f772]) ).
fof(f1230,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f772]) ).
fof(f1231,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f773]) ).
fof(f1232,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f773]) ).
fof(f1269,plain,
scratc1815787659d_n_is = scratc149643650d_e_is(scratc694218580nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1333,plain,
! [X0] : scratc149643650d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1340,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(scratc1684536322d_l_or(X0),aa_bool_bool(scratc1684536322d_l_or(X1),X2)))
| ~ pp(scratc703595203nd_or3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f808]) ).
fof(f1347,plain,
! [X0] : aa_boo1142376798l_bool(scratc653698239nd_imp,scratc2142563004_d_not(X0)) = scratc1684536322d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f1353,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),fFalse))
| ~ pp(scratc2142563004_d_not(X0)) ),
inference(cnf_transformation,[],[f813]) ).
fof(f1354,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),fFalse))
| pp(scratc2142563004_d_not(X0)) ),
inference(cnf_transformation,[],[f813]) ).
fof(f1355,plain,
scratc653698239nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1417,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
| ~ scratc900158574_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f838]) ).
fof(f1418,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f838]) ).
fof(f1419,plain,
! [X0,X1] :
( scratc900158574_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1)) ),
inference(cnf_transformation,[],[f838]) ).
fof(f1420,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),X1)) ),
inference(cnf_transformation,[],[f838]) ).
fof(f1426,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_bx)),
inference(cnf_transformation,[],[f152]) ).
fof(f1474,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hc)),
inference(cnf_transformation,[],[f200]) ).
fof(f1475,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_he)),
inference(cnf_transformation,[],[f201]) ).
fof(f1476,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hg)),
inference(cnf_transformation,[],[f202]) ).
fof(f1485,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_hy)),
inference(cnf_transformation,[],[f211]) ).
fof(f1496,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ix)),
inference(cnf_transformation,[],[f222]) ).
fof(f1509,plain,
pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_jr)),
inference(cnf_transformation,[],[f235]) ).
fof(f1614,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(cnf_transformation,[],[f864]) ).
fof(f1622,plain,
! [X0] :
( scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0)) ),
inference(cnf_transformation,[],[f868]) ).
fof(f1662,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ),
inference(cnf_transformation,[],[f888]) ).
fof(f1680,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0)) ),
inference(cnf_transformation,[],[f897]) ).
fof(f1682,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0)) ),
inference(cnf_transformation,[],[f898]) ).
fof(f1684,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0)) ),
inference(cnf_transformation,[],[f899]) ).
fof(f1768,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bw,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(cnf_transformation,[],[f941]) ).
fof(f1777,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f945]) ).
fof(f1797,plain,
! [X0,X1] :
( pp(scratc703595203nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f1811,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f966]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f966]) ).
fof(f1828,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1)) ),
inference(cnf_transformation,[],[f977]) ).
fof(f1851,plain,
! [X0,X1] :
( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1)) ),
inference(cnf_transformation,[],[f992]) ).
fof(f1854,plain,
! [X0,X1] :
( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1)) ),
inference(cnf_transformation,[],[f994]) ).
fof(f1869,plain,
! [X0,X1] :
( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1)) ),
inference(cnf_transformation,[],[f1002]) ).
fof(f2249,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f582]) ).
fof(f2250,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f583]) ).
fof(f2251,plain,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
inference(cnf_transformation,[],[f584]) ).
fof(f2252,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f585]) ).
fof(f2255,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,[],[f768]) ).
fof(f2259,plain,
~ pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f594]) ).
fof(f2284,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(backward_demodulation,[],[f2250,f1355]) ).
fof(f2285,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X1),X0))
| ~ pp(X0) ),
inference(backward_demodulation,[],[f2251,f1355]) ).
fof(f2286,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc653698239nd_imp,X0),X1))
| pp(X0) ),
inference(backward_demodulation,[],[f2252,f1355]) ).
fof(f2381,plain,
scratc1815787659d_n_is = fequal_TPTP_ind,
inference(forward_demodulation,[],[f1269,f1333]) ).
fof(f2405,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(backward_demodulation,[],[f2255,f2381]) ).
fof(f2457,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0)) ),
inference(resolution,[],[f1231,f1230]) ).
fof(f2458,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0)) ),
inference(resolution,[],[f1229,f1232]) ).
fof(f2491,plain,
! [X0] :
( pp(scratc2142563004_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f1354,f2286]) ).
fof(f2503,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ),
inference(resolution,[],[f1662,f1417]) ).
fof(f2510,plain,
! [X0] :
( ~ pp(scratc2142563004_d_not(X0))
| ~ pp(X0)
| pp(fFalse) ),
inference(resolution,[],[f1353,f2284]) ).
fof(f2511,plain,
! [X0] :
( ~ pp(scratc2142563004_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f2510,f2249]) ).
fof(f2578,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1485,f1417]) ).
fof(f2596,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1509,f1417]) ).
fof(f3030,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)) ),
inference(resolution,[],[f1614,f2405]) ).
fof(f3033,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)) ),
inference(forward_subsumption_resolution,[],[f3030,f1216]) ).
fof(f3034,plain,
! [X0] :
( aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc1816246845d_n_pl(X0),scratc488489392nd_n_1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(forward_subsumption_resolution,[],[f3033,f1216]) ).
fof(f3039,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(superposition,[],[f1811,f3034]) ).
fof(f4077,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(superposition,[],[f1828,f3034]) ).
fof(f6225,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)) ),
inference(resolution,[],[f1869,f2491]) ).
fof(f6377,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(scratc1684536322d_l_or(X0),X1))
| ~ pp(scratc2142563004_d_not(X0))
| pp(X1) ),
inference(superposition,[],[f2284,f1347]) ).
fof(f6378,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc1684536322d_l_or(X0),X1))
| ~ pp(X1) ),
inference(superposition,[],[f2285,f1347]) ).
fof(f6379,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc1684536322d_l_or(X0),X1))
| pp(scratc2142563004_d_not(X0)) ),
inference(superposition,[],[f2286,f1347]) ).
fof(f6380,plain,
! [X0,X1] :
( pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ),
inference(resolution,[],[f6379,f1224]) ).
fof(f6386,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ),
inference(resolution,[],[f6380,f2511]) ).
fof(f6433,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ),
inference(resolution,[],[f6378,f1224]) ).
fof(f7145,plain,
! [X2,X0,X1] :
( ~ pp(scratc703595203nd_or3(X0,X1,X2))
| ~ pp(scratc2142563004_d_not(X0))
| pp(aa_bool_bool(scratc1684536322d_l_or(X1),X2)) ),
inference(resolution,[],[f1340,f6377]) ).
fof(f7146,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc1684536322d_l_or(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1))),aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0))))
| ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1)) ),
inference(resolution,[],[f7145,f1797]) ).
fof(f7149,plain,
! [X0,X1] :
( ~ pp(scratc2142563004_d_not(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)))
| pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0))) ),
inference(resolution,[],[f7146,f6377]) ).
fof(f7150,plain,
! [X0,X1] :
( ~ pp(scratc2142563004_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))
| pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1))) ),
inference(resolution,[],[f7149,f2491]) ).
fof(f7152,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1)) ),
inference(resolution,[],[f7150,f2491]) ).
fof(f7153,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc512370613n_some,aa_TPT43085870d_bool(scratc65936373ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0)) ),
inference(resolution,[],[f7152,f1232]) ).
fof(f7159,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hx,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0)) ),
inference(resolution,[],[f7153,f1230]) ).
fof(f7176,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ),
inference(resolution,[],[f7159,f2503]) ).
fof(f8703,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1)) ),
inference(resolution,[],[f1851,f2511]) ).
fof(f9457,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1496,f1417]) ).
fof(f9503,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1426,f1417]) ).
fof(f9615,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1)) ),
inference(resolution,[],[f1854,f2511]) ).
fof(f10212,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1476,f1417]) ).
fof(f10236,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1475,f1417]) ).
fof(f10260,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1474,f1417]) ).
fof(f13888,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hd,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X0)) ),
inference(resolution,[],[f1682,f1417]) ).
fof(f13889,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f13888,f9615]) ).
fof(f13915,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_he,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ),
inference(resolution,[],[f13889,f7176]) ).
fof(f14018,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hy,X0)) ),
inference(forward_subsumption_resolution,[],[f13915,f10236]) ).
fof(f14029,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(forward_subsumption_resolution,[],[f14018,f2578]) ).
fof(f16325,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hb,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0)) ),
inference(resolution,[],[f1684,f1417]) ).
fof(f16327,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f16325,f6225]) ).
fof(f16342,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f16327,f2457]) ).
fof(f16364,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0)) ),
inference(resolution,[],[f16342,f6386]) ).
fof(f16523,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f16364,f14029]) ).
fof(f16565,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1815787659d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0)) ),
inference(duplicate_literal_removal,[],[f16523]) ).
fof(f16585,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hc,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0)) ),
inference(forward_subsumption_resolution,[],[f16565,f6433]) ).
fof(f16599,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f16585,f10260]) ).
fof(f16613,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1)
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f16599,f2458]) ).
fof(f17420,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hf,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0)) ),
inference(resolution,[],[f1680,f1417]) ).
fof(f17422,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1972844332moreis,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X1))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),X0)) ),
inference(resolution,[],[f17420,f8703]) ).
fof(f17454,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X1))
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(resolution,[],[f17422,f4077]) ).
fof(f17493,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc653435836nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0)))
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(forward_subsumption_resolution,[],[f17454,f1216]) ).
fof(f18053,plain,
! [X0,X1] :
( ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0)) ),
inference(resolution,[],[f17493,f3039]) ).
fof(f18101,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X1),X0))
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(duplicate_literal_removal,[],[f18053]) ).
fof(f22843,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bw,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(resolution,[],[f1768,f1417]) ).
fof(f22849,plain,
! [X0,X1] :
( ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hg,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(resolution,[],[f22843,f18101]) ).
fof(f22862,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1157286078_29_ii,X0),X1))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(forward_subsumption_resolution,[],[f22849,f10212]) ).
fof(f22950,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ gg_TPTP_ind(X1)
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a) ),
inference(resolution,[],[f22862,f16613]) ).
fof(f23040,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X1))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ gg_TPTP_ind(X1)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a) ),
inference(duplicate_literal_removal,[],[f22950]) ).
fof(f23085,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ix,X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ gg_TPTP_ind(X1)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a) ),
inference(forward_subsumption_resolution,[],[f23040,f9503]) ).
fof(f23108,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ gg_TPTP_ind(X1)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1838860720lessis,X0),X1))
| ~ scratc900158574_is_of(X1,aTP_Lamm_a) ),
inference(forward_subsumption_resolution,[],[f23085,f9457]) ).
fof(f23124,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1)
| ~ scratc900158574_is_of(X1,aTP_Lamm_a) ),
inference(forward_subsumption_resolution,[],[f23108,f1812]) ).
fof(f23138,plain,
! [X0,X1] :
( ~ scratc900158574_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ gg_TPTP_ind(X1)
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f23124,f1420]) ).
fof(f23145,plain,
! [X0,X1] :
( ~ scratc900158574_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X1),aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ scratc900158574_is_of(X1,aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(forward_subsumption_resolution,[],[f23138,f1418]) ).
fof(f23162,plain,
! [X0] :
( ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f23145,f1419]) ).
fof(f23163,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a) ),
inference(duplicate_literal_removal,[],[f23162]) ).
fof(f23164,plain,
! [X0] :
( ~ scratc900158574_is_of(aa_TPTP_ind_TPTP_ind(scratc1887994742rdsucc,X0),aTP_Lamm_a)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f23163,f1777]) ).
fof(f23167,plain,
! [X0] :
( ~ scratc900158574_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_jr,X0)) ),
inference(resolution,[],[f23164,f1622]) ).
fof(f23621,definition,
( spl25_289
<=> ! [X0] :
( ~ scratc900158574_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aTP_Lamm_ab)) ) ),
introduced(definition,[new_symbols(definition,[spl25_289])],[avatar_definition]) ).
fof(f23622,plain,
( ! [X0] :
( ~ scratc900158574_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aTP_Lamm_ab)) )
| ~ spl25_289 ),
inference(avatar_component_clause,[],[f23621]) ).
fof(f29212,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc900158574_is_of(X0,aTP_Lamm_a) ),
inference(forward_subsumption_resolution,[],[f23167,f2596]) ).
fof(f29214,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| ~ scratc900158574_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f29212,f1420]) ).
fof(f29220,plain,
! [X0] :
( ~ scratc900158574_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc657885163all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f29214,f1418]) ).
fof(f29221,plain,
spl25_289,
inference(avatar_split_clause,[],[f29220,f23621]) ).
fof(f29222,plain,
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl25_289 ),
inference(resolution,[],[f23622,f1419]) ).
fof(f29223,plain,
( pp(aa_fun171081125l_bool(scratc657885163all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl25_289 ),
inference(duplicate_literal_removal,[],[f29222]) ).
fof(f29224,plain,
( $false
| ~ spl25_289 ),
inference(forward_subsumption_resolution,[],[f29223,f2259]) ).
fof(f29225,plain,
~ spl25_289,
inference(avatar_contradiction_clause,[],[f29224]) ).
cnf(s286,plain,
spl25_289,
inference(sat_conversion,[],[f29221]) ).
cnf(s287,plain,
~ spl25_289,
inference(sat_conversion,[],[f29225]) ).
cnf(s288,plain,
$false,
inference(rat,[],[s286,s287]) ).
fof(f29226,plain,
$false,
inference(avatar_sat_refutation,[],[s288]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM700+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n007.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 21:06:10 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.90/2.45 % (1782111)Detected formulas, will run a generic FOF schedule.
% 10.90/2.45 % (1782116)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=3444725785:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.90/2.45 % (1782119)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2964577011:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.90/2.45 % (1782117)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=971563442:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.90/2.45 % (1782120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=517862197:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.90/2.45 % (1782118)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=277932655:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.90/2.45 % (1782119)Refutation not found, incomplete strategy
% 10.90/2.45 % (1782119)------------------------------
% 10.90/2.45 % (1782119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.45 % (1782119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.45 % (1782119)CaDiCaL version: 2.1.3
% 10.90/2.45 % (1782119)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.45 % (1782119)Time elapsed: 0.003 s
% 10.90/2.45 % (1782119)Peak memory usage: 88 MB
% 10.90/2.45 % (1782119)Instructions burned: 2 (million)
% 10.90/2.45 % (1782120)Refutation not found, incomplete strategy
% 10.90/2.45 % (1782120)------------------------------
% 10.90/2.45 % (1782120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.45 % (1782120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.45 % (1782120)CaDiCaL version: 2.1.3
% 10.90/2.45 % (1782120)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.45 % (1782120)Time elapsed: 0.003 s
% 10.90/2.45 % (1782120)Peak memory usage: 88 MB
% 10.90/2.45 % (1782120)Instructions burned: 3 (million)
% 10.90/2.45 % (1782122)dis-21_1_sil=8000:lcm=predicate:random_seed=377469885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.90/2.45 % (1782121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3478815727:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.90/2.45 % (1782122)Instruction limit reached!
% 10.90/2.45 % (1782122)------------------------------
% 10.90/2.45 % (1782122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.45 % (1782122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.45 % (1782122)CaDiCaL version: 2.1.3
% 10.90/2.45 % (1782122)Termination reason: Instruction limit
% 10.90/2.45 % (1782122)Termination phase: Saturation
% 10.90/2.45 % (1782122)Time elapsed: 0.071 s
% 10.90/2.45 % (1782122)Peak memory usage: 90 MB
% 10.90/2.45 % (1782122)Instructions burned: 129 (million)
% 10.90/2.45 % (1782121)Instruction limit reached!
% 10.90/2.45 % (1782121)------------------------------
% 10.90/2.45 % (1782121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.45 % (1782121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.45 % (1782121)CaDiCaL version: 2.1.3
% 10.90/2.45 % (1782121)Termination reason: Instruction limit
% 10.90/2.45 % (1782121)Termination phase: Saturation
% 10.90/2.45 % (1782121)Time elapsed: 0.082 s
% 10.90/2.45 % (1782121)Peak memory usage: 90 MB
% 10.90/2.45 % (1782121)Instructions burned: 140 (million)
% 10.90/2.45 % (1782130)lrs+10_1_sil=8000:sp=occurrence:random_seed=1823617408:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.90/2.45 % (1782130)Refutation not found, incomplete strategy
% 10.90/2.45 % (1782130)------------------------------
% 10.90/2.45 % (1782130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.90/2.45 % (1782130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.90/2.45 % (1782130)CaDiCaL version: 2.1.3
% 10.90/2.45 % (1782130)Termination reason: Refutation not found, incomplete strategy
% 10.90/2.45 % (1782130)Time elapsed: 0.003 s
% 10.90/2.45 % (1782130)Peak memory usage: 88 MB
% 10.90/2.45 % (1782130)Instructions burned: 2 (million)
% 10.90/2.45 % (1782131)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3032052276:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 20.17/3.71 % (1782131)Refutation not found, incomplete strategy
% 20.17/3.71 % (1782131)------------------------------
% 20.17/3.71 % (1782131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.71 % (1782131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.71 % (1782131)CaDiCaL version: 2.1.3
% 20.17/3.71 % (1782131)Termination reason: Refutation not found, incomplete strategy
% 20.17/3.71 % (1782131)Time elapsed: 0.005 s
% 20.17/3.71 % (1782131)Peak memory usage: 88 MB
% 20.17/3.71 % (1782131)Instructions burned: 9 (million)
% 20.17/3.71 % (1782119)------------------------------
% 20.17/3.71 % (1782119)------------------------------
% 20.17/3.71 % (1782120)------------------------------
% 20.17/3.71 % (1782120)------------------------------
% 20.17/3.71 % (1782134)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4257162416:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 20.17/3.71 % (1782134)Refutation not found, incomplete strategy
% 20.17/3.71 % (1782134)------------------------------
% 20.17/3.71 % (1782134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.71 % (1782134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.71 % (1782134)CaDiCaL version: 2.1.3
% 20.17/3.71 % (1782134)Termination reason: Refutation not found, incomplete strategy
% 20.17/3.71 % (1782134)Time elapsed: 0.003 s
% 20.17/3.71 % (1782134)Peak memory usage: 89 MB
% 20.17/3.71 % (1782134)Instructions burned: 5 (million)
% 20.17/3.71 % (1782135)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=4065966096:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 20.17/3.71 % (1782130)------------------------------
% 20.17/3.71 % (1782130)------------------------------
% 20.17/3.71 % (1782131)------------------------------
% 20.17/3.71 % (1782131)------------------------------
% 20.17/3.71 % (1782134)------------------------------
% 20.17/3.71 % (1782134)------------------------------
% 20.17/3.71 % (1782135)Instruction limit reached!
% 20.17/3.71 % (1782135)------------------------------
% 20.17/3.71 % (1782135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.71 % (1782135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.71 % (1782135)CaDiCaL version: 2.1.3
% 20.17/3.71 % (1782135)Termination reason: Instruction limit
% 20.17/3.71 % (1782135)Termination phase: Saturation
% 20.17/3.71 % (1782135)Time elapsed: 0.119 s
% 20.17/3.71 % (1782135)Peak memory usage: 90 MB
% 20.17/3.71 % (1782135)Instructions burned: 249 (million)
% 20.17/3.71 % (1782140)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3832391656:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 20.17/3.71 % (1782138)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=267195733:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 20.17/3.71 % (1782138)Refutation not found, incomplete strategy
% 20.17/3.71 % (1782138)------------------------------
% 20.17/3.71 % (1782138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.71 % (1782138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.71 % (1782138)CaDiCaL version: 2.1.3
% 20.17/3.71 % (1782138)Termination reason: Refutation not found, incomplete strategy
% 20.17/3.71 % (1782138)Time elapsed: 0.005 s
% 20.17/3.71 % (1782138)Peak memory usage: 89 MB
% 20.17/3.71 % (1782138)Instructions burned: 7 (million)
% 20.17/3.71 % (1782139)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2724699477:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 20.17/3.71 % (1782141)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=307070281:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 20.17/3.71 % (1782140)Instruction limit reached!
% 20.17/3.71 % (1782140)------------------------------
% 20.17/3.71 % (1782140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.71 % (1782140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.71 % (1782140)CaDiCaL version: 2.1.3
% 20.17/3.71 % (1782140)Termination reason: Instruction limit
% 20.17/3.71 % (1782140)Termination phase: Saturation
% 20.17/3.71 % (1782140)Time elapsed: 0.059 s
% 20.17/3.71 % (1782140)Peak memory usage: 91 MB
% 20.17/3.71 % (1782140)Instructions burned: 114 (million)
% 46.63/7.49 % (1782141)Instruction limit reached!
% 46.63/7.49 % (1782141)------------------------------
% 46.63/7.49 % (1782141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782141)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782141)Termination reason: Instruction limit
% 46.63/7.49 % (1782141)Termination phase: Saturation
% 46.63/7.49 % (1782141)Time elapsed: 0.060 s
% 46.63/7.49 % (1782141)Peak memory usage: 89 MB
% 46.63/7.49 % (1782141)Instructions burned: 129 (million)
% 46.63/7.49 % (1782146)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3426099935:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 46.63/7.49 % (1782147)lrs+10_1_sil=8000:sp=occurrence:random_seed=740751151:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 46.63/7.49 % (1782146)Instruction limit reached!
% 46.63/7.49 % (1782146)------------------------------
% 46.63/7.49 % (1782146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782146)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782146)Termination reason: Instruction limit
% 46.63/7.49 % (1782146)Termination phase: Saturation
% 46.63/7.49 % (1782146)Time elapsed: 0.061 s
% 46.63/7.49 % (1782146)Peak memory usage: 90 MB
% 46.63/7.49 % (1782146)Instructions burned: 114 (million)
% 46.63/7.49 % (1782138)------------------------------
% 46.63/7.49 % (1782138)------------------------------
% 46.63/7.49 % (1782150)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=290087393:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 46.63/7.49 % (1782151)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2956671133:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 46.63/7.49 % (1782150)Refutation not found, incomplete strategy
% 46.63/7.49 % (1782150)------------------------------
% 46.63/7.49 % (1782150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782150)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782150)Termination reason: Refutation not found, incomplete strategy
% 46.63/7.49 % (1782150)Time elapsed: 0.042 s
% 46.63/7.49 % (1782150)Peak memory usage: 90 MB
% 46.63/7.49 % (1782150)Instructions burned: 83 (million)
% 46.63/7.49 % (1782147)Instruction limit reached!
% 46.63/7.49 % (1782147)------------------------------
% 46.63/7.49 % (1782147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782147)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782147)Termination reason: Instruction limit
% 46.63/7.49 % (1782147)Termination phase: Saturation
% 46.63/7.49 % (1782147)Time elapsed: 0.366 s
% 46.63/7.49 % (1782147)Peak memory usage: 94 MB
% 46.63/7.49 % (1782147)Instructions burned: 909 (million)
% 46.63/7.49 % (1782150)------------------------------
% 46.63/7.49 % (1782150)------------------------------
% 46.63/7.49 % (1782154)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3674654343:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 46.63/7.49 % (1782155)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3350805165:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 46.63/7.49 % (1782155)Refutation not found, incomplete strategy
% 46.63/7.49 % (1782155)------------------------------
% 46.63/7.49 % (1782155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782155)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782155)Termination reason: Refutation not found, incomplete strategy
% 46.63/7.49 % (1782155)Time elapsed: 0.013 s
% 46.63/7.49 % (1782155)Peak memory usage: 89 MB
% 46.63/7.49 % (1782155)Instructions burned: 23 (million)
% 46.63/7.49 % (1782154)Instruction limit reached!
% 46.63/7.49 % (1782154)------------------------------
% 46.63/7.49 % (1782154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.63/7.49 % (1782154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.63/7.49 % (1782154)CaDiCaL version: 2.1.3
% 46.63/7.49 % (1782154)Termination reason: Instruction limit
% 76.40/11.64 % (1782154)Termination phase: Saturation
% 76.40/11.64 % (1782154)Time elapsed: 0.073 s
% 76.40/11.64 % (1782154)Peak memory usage: 94 MB
% 76.40/11.64 % (1782154)Instructions burned: 135 (million)
% 76.40/11.64 % (1782158)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1593706234:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 76.40/11.64 % (1782155)------------------------------
% 76.40/11.64 % (1782155)------------------------------
% 76.40/11.64 % (1782160)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=1431890090:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 76.40/11.64 % (1782160)Refutation not found, incomplete strategy
% 76.40/11.64 % (1782160)------------------------------
% 76.40/11.64 % (1782160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.40/11.64 % (1782160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.40/11.64 % (1782160)CaDiCaL version: 2.1.3
% 76.40/11.64 % (1782160)Termination reason: Refutation not found, incomplete strategy
% 76.40/11.64 % (1782160)Time elapsed: 0.007 s
% 76.40/11.64 % (1782160)Peak memory usage: 89 MB
% 76.40/11.64 % (1782160)Instructions burned: 12 (million)
% 76.40/11.64 % (1782160)------------------------------
% 76.40/11.64 % (1782160)------------------------------
% 76.40/11.64 % (1782162)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=767063473:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 76.40/11.64 % (1782139)Instruction limit reached!
% 76.40/11.64 % (1782139)------------------------------
% 76.40/11.64 % (1782139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.40/11.64 % (1782139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.40/11.64 % (1782139)CaDiCaL version: 2.1.3
% 76.40/11.64 % (1782139)Termination reason: Instruction limit
% 76.40/11.64 % (1782139)Termination phase: Saturation
% 76.40/11.64 % (1782139)Time elapsed: 1.548 s
% 76.40/11.64 % (1782139)Peak memory usage: 145 MB
% 76.40/11.64 % (1782139)Instructions burned: 2351 (million)
% 76.40/11.64 % (1782162)Instruction limit reached!
% 76.40/11.64 % (1782162)------------------------------
% 76.40/11.64 % (1782162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.40/11.64 % (1782162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.40/11.64 % (1782162)CaDiCaL version: 2.1.3
% 76.40/11.64 % (1782162)Termination reason: Instruction limit
% 76.40/11.64 % (1782162)Termination phase: Saturation
% 76.40/11.64 % (1782162)Time elapsed: 0.063 s
% 76.40/11.64 % (1782162)Peak memory usage: 92 MB
% 76.40/11.64 % (1782162)Instructions burned: 135 (million)
% 76.40/11.64 % (1782164)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3068396494:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 76.40/11.64 % (1782164)Refutation not found, incomplete strategy
% 76.40/11.64 % (1782164)------------------------------
% 76.40/11.64 % (1782164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.40/11.64 % (1782164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.40/11.64 % (1782164)CaDiCaL version: 2.1.3
% 76.40/11.64 % (1782164)Termination reason: Refutation not found, incomplete strategy
% 76.40/11.64 % (1782164)Time elapsed: 0.003 s
% 76.40/11.64 % (1782164)Peak memory usage: 89 MB
% 76.40/11.64 % (1782164)Instructions burned: 2 (million)
% 76.40/11.64 % (1782165)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3458877215:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 76.40/11.64 % (1782165)Refutation not found, incomplete strategy
% 76.40/11.64 % (1782165)------------------------------
% 76.40/11.64 % (1782165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 76.40/11.64 % (1782165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 76.40/11.64 % (1782165)CaDiCaL version: 2.1.3
% 76.40/11.64 % (1782165)Termination reason: Refutation not found, incomplete strategy
% 76.40/11.64 % (1782165)Time elapsed: 0.003 s
% 76.40/11.64 % (1782165)Peak memory usage: 89 MB
% 76.40/11.64 % (1782165)Instructions burned: 2 (million)
% 76.40/11.64 % (1782164)------------------------------
% 76.40/11.64 % (1782164)------------------------------
% 76.40/11.64 % (1782165)------------------------------
% 76.40/11.64 % (1782165)------------------------------
% 76.40/11.64 % (1782168)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=3243233796:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 89.97/13.57 % (1782169)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=1438221779:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 89.97/13.57 % (1782169)Instruction limit reached!
% 89.97/13.57 % (1782169)------------------------------
% 89.97/13.57 % (1782169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.97/13.57 % (1782169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.97/13.57 % (1782169)CaDiCaL version: 2.1.3
% 89.97/13.57 % (1782169)Termination reason: Instruction limit
% 89.97/13.57 % (1782169)Termination phase: Saturation
% 89.97/13.57 % (1782169)Time elapsed: 0.079 s
% 89.97/13.57 % (1782169)Peak memory usage: 91 MB
% 89.97/13.57 % (1782169)Instructions burned: 151 (million)
% 89.97/13.57 % (1782172)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3356703273:i=14155:bd=all_2970 on theBenchmark for (2970ds/14155Mi)
% 89.97/13.57 % (1782151)Instruction limit reached!
% 89.97/13.57 % (1782151)------------------------------
% 89.97/13.57 % (1782151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.97/13.57 % (1782151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.97/13.57 % (1782151)CaDiCaL version: 2.1.3
% 89.97/13.57 % (1782151)Termination reason: Instruction limit
% 89.97/13.57 % (1782151)Termination phase: Saturation
% 89.97/13.57 % (1782151)Time elapsed: 3.319 s
% 89.97/13.57 % (1782151)Peak memory usage: 162 MB
% 89.97/13.57 % (1782151)Instructions burned: 5202 (million)
% 89.97/13.57 % (1782174)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=840873531:i=667:av=off:fsr=off_2955 on theBenchmark for (2955ds/667Mi)
% 89.97/13.57 % (1782174)Instruction limit reached!
% 89.97/13.57 % (1782174)------------------------------
% 89.97/13.57 % (1782174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.97/13.57 % (1782174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.97/13.57 % (1782174)CaDiCaL version: 2.1.3
% 89.97/13.57 % (1782174)Termination reason: Instruction limit
% 89.97/13.57 % (1782174)Termination phase: Saturation
% 89.97/13.57 % (1782174)Time elapsed: 0.319 s
% 89.97/13.57 % (1782174)Peak memory usage: 100 MB
% 89.97/13.57 % (1782174)Instructions burned: 667 (million)
% 89.97/13.57 % (1782176)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=825817125:s2a=on:i=185:s2at=1.8:fdi=4_2950 on theBenchmark for (2950ds/185Mi)
% 89.97/13.57 % (1782176)Instruction limit reached!
% 89.97/13.57 % (1782176)------------------------------
% 89.97/13.57 % (1782176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.97/13.57 % (1782176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.97/13.57 % (1782176)CaDiCaL version: 2.1.3
% 89.97/13.57 % (1782176)Termination reason: Instruction limit
% 89.97/13.57 % (1782176)Termination phase: Saturation
% 89.97/13.57 % (1782176)Time elapsed: 0.081 s
% 89.97/13.57 % (1782176)Peak memory usage: 91 MB
% 89.97/13.57 % (1782176)Instructions burned: 187 (million)
% 89.97/13.57 % (1782178)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1746426130:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2948 on theBenchmark for (2948ds/193Mi)
% 89.97/13.57 % (1782178)Refutation not found, incomplete strategy
% 89.97/13.57 % (1782178)------------------------------
% 89.97/13.57 % (1782178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.97/13.57 % (1782178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.97/13.57 % (1782178)CaDiCaL version: 2.1.3
% 89.97/13.57 % (1782178)Termination reason: Refutation not found, incomplete strategy
% 89.97/13.57 % (1782178)Time elapsed: 0.004 s
% 89.97/13.57 % (1782178)Peak memory usage: 89 MB
% 89.97/13.57 % (1782178)Instructions burned: 5 (million)
% 89.97/13.57 % (1782178)------------------------------
% 89.97/13.57 % (1782178)------------------------------
% 89.97/13.57 % (1782180)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=95581409:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2944 on theBenchmark for (2944ds/4850Mi)
% 89.97/13.57 % (1782168)Instruction limit reached!
% 89.97/13.57 % (1782168)------------------------------
% 110.52/16.46 % (1782168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782168)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782168)Termination reason: Instruction limit
% 110.52/16.46 % (1782168)Termination phase: Saturation
% 110.52/16.46 % (1782168)Time elapsed: 3.775 s
% 110.52/16.46 % (1782168)Peak memory usage: 166 MB
% 110.52/16.46 % (1782168)Instructions burned: 6060 (million)
% 110.52/16.46 % (1782182)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1937854014:i=12111:sd=1:ss=included_2933 on theBenchmark for (2933ds/12111Mi)
% 110.52/16.46 % (1782180)Instruction limit reached!
% 110.52/16.46 % (1782180)------------------------------
% 110.52/16.46 % (1782180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782180)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782180)Termination reason: Instruction limit
% 110.52/16.46 % (1782180)Termination phase: Saturation
% 110.52/16.46 % (1782180)Time elapsed: 3.082 s
% 110.52/16.46 % (1782180)Peak memory usage: 152 MB
% 110.52/16.46 % (1782180)Instructions burned: 4850 (million)
% 110.52/16.46 % (1782184)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3233721367:i=319:kws=precedence:fsr=off_2912 on theBenchmark for (2912ds/319Mi)
% 110.52/16.46 % (1782184)Instruction limit reached!
% 110.52/16.46 % (1782184)------------------------------
% 110.52/16.46 % (1782184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782184)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782184)Termination reason: Instruction limit
% 110.52/16.46 % (1782184)Termination phase: Saturation
% 110.52/16.46 % (1782184)Time elapsed: 0.163 s
% 110.52/16.46 % (1782184)Peak memory usage: 93 MB
% 110.52/16.46 % (1782184)Instructions burned: 319 (million)
% 110.52/16.46 % (1782186)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2037833259:i=2064:ep=RST_2909 on theBenchmark for (2909ds/2064Mi)
% 110.52/16.46 % (1782186)Refutation not found, incomplete strategy
% 110.52/16.46 % (1782186)------------------------------
% 110.52/16.46 % (1782186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782186)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782186)Termination reason: Refutation not found, incomplete strategy
% 110.52/16.46 % (1782186)Time elapsed: 0.034 s
% 110.52/16.46 % (1782186)Peak memory usage: 90 MB
% 110.52/16.46 % (1782186)Instructions burned: 73 (million)
% 110.52/16.46 % (1782186)------------------------------
% 110.52/16.46 % (1782186)------------------------------
% 110.52/16.46 % (1782188)dis-1011_128_sil=32000:random_seed=4108273639:i=3706:ep=RST:av=off_2905 on theBenchmark for (2905ds/3706Mi)
% 110.52/16.46 % (1782158)Instruction limit reached!
% 110.52/16.46 % (1782158)------------------------------
% 110.52/16.46 % (1782158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782158)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782158)Termination reason: Instruction limit
% 110.52/16.46 % (1782158)Termination phase: Saturation
% 110.52/16.46 % (1782158)Time elapsed: 8.537 s
% 110.52/16.46 % (1782158)Peak memory usage: 208 MB
% 110.52/16.46 % (1782158)Instructions burned: 13193 (million)
% 110.52/16.46 % (1782190)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1916822995:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2897 on theBenchmark for (2897ds/757Mi)
% 110.52/16.46 % (1782190)Refutation not found, incomplete strategy
% 110.52/16.46 % (1782190)------------------------------
% 110.52/16.46 % (1782190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 110.52/16.46 % (1782190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 110.52/16.46 % (1782190)CaDiCaL version: 2.1.3
% 110.52/16.46 % (1782190)Termination reason: Refutation not found, incomplete strategy
% 110.52/16.46 % (1782190)Time elapsed: 0.007 s
% 110.52/16.46 % (1782190)Peak memory usage: 89 MB
% 110.52/16.46 % (1782190)Instructions burned: 9 (million)
% 110.52/16.46 % (1782190)------------------------------
% 110.52/16.46 % (1782190)------------------------------
% 110.52/16.46 % (1782192)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2467753456:i=13913:ss=axioms:sgt=8_2893 on theBenchmark for (2893ds/13913Mi)
% 129.95/19.16 % (1782172)Instruction limit reached!
% 129.95/19.16 % (1782172)------------------------------
% 129.95/19.16 % (1782172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.95/19.16 % (1782172)CaDiCaL version: 2.1.3
% 129.95/19.16 % (1782172)Termination reason: Instruction limit
% 129.95/19.16 % (1782172)Termination phase: Saturation
% 129.95/19.16 % (1782172)Time elapsed: 7.771 s
% 129.95/19.16 % (1782172)Peak memory usage: 224 MB
% 129.95/19.16 % (1782172)Instructions burned: 14155 (million)
% 129.95/19.16 % (1782194)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2886735064:i=9925:aac=none_2891 on theBenchmark for (2891ds/9925Mi)
% 129.95/19.16 % (1782192)Refutation not found, incomplete strategy
% 129.95/19.16 % (1782192)------------------------------
% 129.95/19.16 % (1782192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.95/19.16 % (1782192)CaDiCaL version: 2.1.3
% 129.95/19.16 % (1782192)Termination reason: Refutation not found, incomplete strategy
% 129.95/19.16 % (1782192)Time elapsed: 0.576 s
% 129.95/19.16 % (1782192)Peak memory usage: 129 MB
% 129.95/19.16 % (1782192)Instructions burned: 873 (million)
% 129.95/19.16 % (1782192)------------------------------
% 129.95/19.16 % (1782192)------------------------------
% 129.95/19.16 % (1782188)Instruction limit reached!
% 129.95/19.16 % (1782188)------------------------------
% 129.95/19.16 % (1782188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.95/19.16 % (1782188)CaDiCaL version: 2.1.3
% 129.95/19.16 % (1782188)Termination reason: Instruction limit
% 129.95/19.16 % (1782188)Termination phase: Saturation
% 129.95/19.16 % (1782188)Time elapsed: 2.124 s
% 129.95/19.16 % (1782188)Peak memory usage: 109 MB
% 129.95/19.16 % (1782188)Instructions burned: 3707 (million)
% 129.95/19.16 % (1782196)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4200729678:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2883 on theBenchmark for (2883ds/2479Mi)
% 129.95/19.16 % (1782196)Refutation not found, incomplete strategy
% 129.95/19.16 % (1782196)------------------------------
% 129.95/19.16 % (1782196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.95/19.16 % (1782196)CaDiCaL version: 2.1.3
% 129.95/19.16 % (1782196)Termination reason: Refutation not found, incomplete strategy
% 129.95/19.16 % (1782196)Time elapsed: 0.004 s
% 129.95/19.16 % (1782196)Peak memory usage: 88 MB
% 129.95/19.16 % (1782196)Instructions burned: 5 (million)
% 129.95/19.16 % (1782197)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1301086634:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2883 on theBenchmark for (2883ds/440Mi)
% 129.95/19.16 % (1782196)------------------------------
% 129.95/19.16 % (1782196)------------------------------
% 129.95/19.16 % (1782197)Instruction limit reached!
% 129.95/19.16 % (1782197)------------------------------
% 129.95/19.16 % (1782197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 129.95/19.16 % (1782197)CaDiCaL version: 2.1.3
% 129.95/19.16 % (1782197)Termination reason: Instruction limit
% 129.95/19.16 % (1782197)Termination phase: Saturation
% 129.95/19.16 % (1782197)Time elapsed: 0.166 s
% 129.95/19.16 % (1782197)Peak memory usage: 91 MB
% 129.95/19.16 % (1782197)Instructions burned: 441 (million)
% 129.95/19.16 % (1782200)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=4238870033:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2880 on theBenchmark for (2880ds/11145Mi)
% 129.95/19.16 % (1782201)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=2611772086:cts=off:i=3034:av=off:er=known:fsd=on_2880 on theBenchmark for (2880ds/3034Mi)
% 129.95/19.16 % (1782200)Refutation not found, incomplete strategy
% 129.95/19.16 % (1782200)------------------------------
% 129.95/19.16 % (1782200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 129.95/19.16 % (1782200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782200)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782200)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782200)Time elapsed: 0.598 s
% 141.48/21.86 % (1782200)Peak memory usage: 129 MB
% 141.48/21.86 % (1782200)Instructions burned: 912 (million)
% 141.48/21.86 % (1782200)------------------------------
% 141.48/21.86 % (1782200)------------------------------
% 141.48/21.86 % (1782204)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=611766002:st=2:s2a=on:i=524:s2at=2:ss=axioms_2870 on theBenchmark for (2870ds/524Mi)
% 141.48/21.86 % (1782204)Instruction limit reached!
% 141.48/21.86 % (1782204)------------------------------
% 141.48/21.86 % (1782204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782204)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782204)Termination reason: Instruction limit
% 141.48/21.86 % (1782204)Termination phase: Saturation
% 141.48/21.86 % (1782204)Time elapsed: 0.282 s
% 141.48/21.86 % (1782204)Peak memory usage: 92 MB
% 141.48/21.86 % (1782204)Instructions burned: 524 (million)
% 141.48/21.86 % (1782206)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=2000916398:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2866 on theBenchmark for (2866ds/1016Mi)
% 141.48/21.86 % (1782206)Refutation not found, incomplete strategy
% 141.48/21.86 % (1782206)------------------------------
% 141.48/21.86 % (1782206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782206)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782206)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782206)Time elapsed: 0.003 s
% 141.48/21.86 % (1782206)Peak memory usage: 89 MB
% 141.48/21.86 % (1782206)Instructions burned: 3 (million)
% 141.48/21.86 % (1782206)------------------------------
% 141.48/21.86 % (1782206)------------------------------
% 141.48/21.86 % (1782201)Instruction limit reached!
% 141.48/21.86 % (1782201)------------------------------
% 141.48/21.86 % (1782201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782201)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782201)Termination reason: Instruction limit
% 141.48/21.86 % (1782201)Termination phase: Saturation
% 141.48/21.86 % (1782201)Time elapsed: 1.701 s
% 141.48/21.86 % (1782201)Peak memory usage: 149 MB
% 141.48/21.86 % (1782201)Instructions burned: 3034 (million)
% 141.48/21.86 % (1782208)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=2654349747:i=14123:bd=preordered:ins=4_2862 on theBenchmark for (2862ds/14123Mi)
% 141.48/21.86 % (1782182)Instruction limit reached!
% 141.48/21.86 % (1782182)------------------------------
% 141.48/21.86 % (1782182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782182)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782182)Termination reason: Instruction limit
% 141.48/21.86 % (1782182)Termination phase: Saturation
% 141.48/21.86 % (1782182)Time elapsed: 7.162 s
% 141.48/21.86 % (1782182)Peak memory usage: 255 MB
% 141.48/21.86 % (1782182)Instructions burned: 12114 (million)
% 141.48/21.86 % (1782209)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=3564806363:i=5781:kws=precedence:bd=all:rawr=on_2861 on theBenchmark for (2861ds/5781Mi)
% 141.48/21.86 % (1782212)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=983382157:i=2448:gtgl=5:bd=preordered:gtg=all_2860 on theBenchmark for (2860ds/2448Mi)
% 141.48/21.86 % (1782212)Instruction limit reached!
% 141.48/21.86 % (1782212)------------------------------
% 141.48/21.86 % (1782212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782212)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782212)Termination reason: Instruction limit
% 141.48/21.86 % (1782212)Termination phase: Saturation
% 141.48/21.86 % (1782212)Time elapsed: 1.383 s
% 141.48/21.86 % (1782212)Peak memory usage: 147 MB
% 141.48/21.86 % (1782212)Instructions burned: 2449 (million)
% 141.48/21.86 % (1782214)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=2205406712:i=3223:kws=precedence:fgj=on:av=off_2845 on theBenchmark for (2845ds/3223Mi)
% 141.48/21.86 % (1782194)Instruction limit reached!
% 141.48/21.86 % (1782194)------------------------------
% 141.48/21.86 % (1782194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782194)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782194)Termination reason: Instruction limit
% 141.48/21.86 % (1782194)Termination phase: Saturation
% 141.48/21.86 % (1782194)Time elapsed: 5.751 s
% 141.48/21.86 % (1782194)Peak memory usage: 208 MB
% 141.48/21.86 % (1782194)Instructions burned: 9926 (million)
% 141.48/21.86 % (1782209)Instruction limit reached!
% 141.48/21.86 % (1782209)------------------------------
% 141.48/21.86 % (1782209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782209)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782209)Termination reason: Instruction limit
% 141.48/21.86 % (1782209)Termination phase: Saturation
% 141.48/21.86 % (1782209)Time elapsed: 2.872 s
% 141.48/21.86 % (1782209)Peak memory usage: 120 MB
% 141.48/21.86 % (1782209)Instructions burned: 5783 (million)
% 141.48/21.86 % (1782216)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=338469822:st=5.6:i=2033:sd=3:ss=axioms_2832 on theBenchmark for (2832ds/2033Mi)
% 141.48/21.86 % (1782217)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=738901862:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2831 on theBenchmark for (2831ds/2055Mi)
% 141.48/21.86 % (1782216)Refutation not found, incomplete strategy
% 141.48/21.86 % (1782216)------------------------------
% 141.48/21.86 % (1782216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782216)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782216)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782216)Time elapsed: 0.620 s
% 141.48/21.86 % (1782216)Peak memory usage: 130 MB
% 141.48/21.86 % (1782216)Instructions burned: 952 (million)
% 141.48/21.86 % (1782217)Refutation not found, incomplete strategy
% 141.48/21.86 % (1782217)------------------------------
% 141.48/21.86 % (1782217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782217)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782217)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782217)Time elapsed: 0.573 s
% 141.48/21.86 % (1782217)Peak memory usage: 130 MB
% 141.48/21.86 % (1782217)Instructions burned: 880 (million)
% 141.48/21.86 % (1782214)Instruction limit reached!
% 141.48/21.86 % (1782214)------------------------------
% 141.48/21.86 % (1782214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782214)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782214)Termination reason: Instruction limit
% 141.48/21.86 % (1782214)Termination phase: Saturation
% 141.48/21.86 % (1782214)Time elapsed: 2.108 s
% 141.48/21.86 % (1782214)Peak memory usage: 148 MB
% 141.48/21.86 % (1782214)Instructions burned: 3224 (million)
% 141.48/21.86 % (1782216)------------------------------
% 141.48/21.86 % (1782216)------------------------------
% 141.48/21.86 % (1782217)------------------------------
% 141.48/21.86 % (1782217)------------------------------
% 141.48/21.86 % (1782221)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=3650320245:i=21611:sd=3:ss=axioms_2822 on theBenchmark for (2822ds/21611Mi)
% 141.48/21.86 % (1782222)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1221716424:i=4835:sd=13:ss=axioms:sgt=23_2822 on theBenchmark for (2822ds/4835Mi)
% 141.48/21.86 % (1782223)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2284526887:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2822 on theBenchmark for (2822ds/797Mi)
% 141.48/21.86 % (1782223)Instruction limit reached!
% 141.48/21.86 % (1782223)------------------------------
% 141.48/21.86 % (1782223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782223)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782223)Termination reason: Instruction limit
% 141.48/21.86 % (1782223)Termination phase: Saturation
% 141.48/21.86 % (1782223)Time elapsed: 0.382 s
% 141.48/21.86 % (1782223)Peak memory usage: 92 MB
% 141.48/21.86 % (1782223)Instructions burned: 799 (million)
% 141.48/21.86 % (1782227)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=4104280208:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2816 on theBenchmark for (2816ds/2326Mi)
% 141.48/21.86 % (1782221)Refutation not found, incomplete strategy
% 141.48/21.86 % (1782221)------------------------------
% 141.48/21.86 % (1782221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782221)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782221)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782221)Time elapsed: 0.602 s
% 141.48/21.86 % (1782221)Peak memory usage: 130 MB
% 141.48/21.86 % (1782221)Instructions burned: 914 (million)
% 141.48/21.86 % (1782221)------------------------------
% 141.48/21.86 % (1782221)------------------------------
% 141.48/21.86 % (1782229)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3426012037:i=6038:nm=6_2813 on theBenchmark for (2813ds/6038Mi)
% 141.48/21.86 % (1782227)Instruction limit reached!
% 141.48/21.86 % (1782227)------------------------------
% 141.48/21.86 % (1782227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782227)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782227)Termination reason: Instruction limit
% 141.48/21.86 % (1782227)Termination phase: Saturation
% 141.48/21.86 % (1782227)Time elapsed: 1.443 s
% 141.48/21.86 % (1782227)Peak memory usage: 101 MB
% 141.48/21.86 % (1782227)Instructions burned: 2327 (million)
% 141.48/21.86 % (1782231)lrs+10_1_sil=32000:sp=occurrence:random_seed=2883316358:st=2:i=33334:sd=3:ss=included:sgt=32_2801 on theBenchmark for (2801ds/33334Mi)
% 141.48/21.86 % (1782208)First to succeed.
% 141.48/21.86 % (1782208)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1782111"
% 141.48/21.86 % (1782222)Instruction limit reached!
% 141.48/21.86 % (1782222)------------------------------
% 141.48/21.86 % (1782222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782222)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782222)Termination reason: Instruction limit
% 141.48/21.86 % (1782222)Termination phase: Saturation
% 141.48/21.86 % (1782222)Time elapsed: 2.870 s
% 141.48/21.86 % (1782222)Peak memory usage: 127 MB
% 141.48/21.86 % (1782222)Instructions burned: 4836 (million)
% 141.48/21.86 % (1782233)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=602642464:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2792 on theBenchmark for (2792ds/1008Mi)
% 141.48/21.86 % (1782233)Refutation not found, incomplete strategy
% 141.48/21.86 % (1782233)------------------------------
% 141.48/21.86 % (1782233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 141.48/21.86 % (1782233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 141.48/21.86 % (1782233)CaDiCaL version: 2.1.3
% 141.48/21.86 % (1782233)Termination reason: Refutation not found, incomplete strategy
% 141.48/21.86 % (1782233)Time elapsed: 0.035 s
% 141.48/21.86 % (1782233)Peak memory usage: 90 MB
% 141.48/21.86 % (1782233)Instructions burned: 57 (million)
% 141.48/21.86 % (1782208)Refutation found. Thanks to Tanya!
% 141.48/21.86 % SZS status Theorem for theBenchmark
% 141.48/21.86 % SZS output start Proof for theBenchmark
% See solution above
% 149.34/22.05 % (1782208)------------------------------
% 149.34/22.05 % (1782208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 149.34/22.05 % (1782208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 149.34/22.05 % (1782208)CaDiCaL version: 2.1.3
% 149.34/22.05 % (1782208)Termination reason: Refutation
% 149.34/22.05 % (1782208)Time elapsed: 6.802 s
% 149.34/22.05 % (1782208)Peak memory usage: 213 MB
% 149.34/22.05 % (1782208)Instructions burned: 10457 (million)
% 149.34/22.05 % (1782208)------------------------------
% 149.34/22.05 % (1782208)------------------------------
% 149.34/22.05 % (1782111)Success in time 20.999 s
% 149.34/22.05 % Vampire exiting
%------------------------------------------------------------------------------