%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM765+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:16:55 PM UTC 2026
% Result : Theorem 40.44s 12.31s
% Output : Refutation 81.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 45
% Syntax : Number of formulae : 263 ( 66 unt; 10 def)
% Number of atoms : 656 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 697 ( 304 ~; 279 |; 57 &)
% ( 45 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 20 con; 0-2 aty)
% Number of variables : 276 ( 0 sgn 274 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
<=> pp(aa_bool_bool(scratc656196813d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__moreq) ).
fof(f162,axiom,
! [X0] : scratc656196813d_l_or(X0) = aa_boo1142376798l_bool(scratc796648202nd_imp,scratc855463089_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f167,axiom,
! [X0] :
( pp(scratc855463089_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc796648202nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f168,axiom,
scratc796648202nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f199,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1760542307_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f204,axiom,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_co)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz65a) ).
fof(f215,axiom,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ea)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz62h) ).
fof(f229,axiom,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_fq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz56) ).
fof(f253,axiom,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ib)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz43) ).
fof(f254,axiom,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_id)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz42) ).
fof(f598,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_id,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__142) ).
fof(f599,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ib,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__143) ).
fof(f621,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_fq,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__165) ).
fof(f633,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ea,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__177) ).
fof(f644,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__188) ).
fof(f648,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__192) ).
fof(f695,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__239) ).
fof(f696,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__240) ).
fof(f815,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__359) ).
fof(f824,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__368) ).
fof(f835,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__379) ).
fof(f839,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__383) ).
fof(f962,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__506) ).
fof(f964,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__508) ).
fof(f969,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__513) ).
fof(f973,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__517) ).
fof(f1002,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__546) ).
fof(f1003,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__547) ).
fof(f1020,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__564) ).
fof(f1023,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__567) ).
fof(f1050,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1051,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1052,axiom,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f1053,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1060,conjecture,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1061,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f1060]) ).
fof(f1062,plain,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f1061]) ).
fof(f1079,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1760542307_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f199]) ).
fof(f1080,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1760542307_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1079]) ).
fof(f1158,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f695]) ).
fof(f1159,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1)) ) ),
inference(ennf_transformation,[],[f696]) ).
fof(f1287,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f1002]) ).
fof(f1288,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) ),
inference(flattening,[],[f1287]) ).
fof(f1289,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f1003]) ).
fof(f1290,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) ),
inference(flattening,[],[f1289]) ).
fof(f1323,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f1020]) ).
fof(f1324,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) ),
inference(flattening,[],[f1323]) ).
fof(f1329,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f1023]) ).
fof(f1330,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) ),
inference(flattening,[],[f1329]) ).
fof(f1353,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_bool_bool(scratc656196813d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))) )
& ( pp(aa_bool_bool(scratc656196813d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f1410,plain,
! [X0] :
( ( pp(scratc855463089_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc796648202nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc796648202nd_imp,X0),fFalse))
| ~ pp(scratc855463089_d_not(X0)) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f1433,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1760542307_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1760542307_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1080]) ).
fof(f1434,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1760542307_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1760542307_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1)) ) ),
inference(rectify,[],[f1433]) ).
fof(f1435,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1760542307_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1760542307_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1434]) ).
fof(f1596,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_id,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_id,X0)) ) ),
inference(nnf_transformation,[],[f598]) ).
fof(f1597,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ib,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ib,X0)) ) ),
inference(nnf_transformation,[],[f599]) ).
fof(f1619,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_fq,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_fq,X0)) ) ),
inference(nnf_transformation,[],[f621]) ).
fof(f1631,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ea,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ea,X0)) ) ),
inference(nnf_transformation,[],[f633]) ).
fof(f1642,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0)) ) ),
inference(nnf_transformation,[],[f644]) ).
fof(f1646,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f648]) ).
fof(f1711,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1)) ) ),
inference(nnf_transformation,[],[f1158]) ).
fof(f1712,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1)) ) ),
inference(flattening,[],[f1711]) ).
fof(f1713,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1)) ) ),
inference(nnf_transformation,[],[f1159]) ).
fof(f1714,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1)) ) ),
inference(flattening,[],[f1713]) ).
fof(f1849,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,X0),X1)) ) ),
inference(nnf_transformation,[],[f815]) ).
fof(f1858,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,X0),X1)) ) ),
inference(nnf_transformation,[],[f824]) ).
fof(f1869,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1)) ) ),
inference(nnf_transformation,[],[f835]) ).
fof(f1873,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1)) ) ),
inference(nnf_transformation,[],[f839]) ).
fof(f2054,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f962]) ).
fof(f2056,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f964]) ).
fof(f2061,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f969]) ).
fof(f2065,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f973]) ).
fof(f2110,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1288]) ).
fof(f2111,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2110]) ).
fof(f2112,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1290]) ).
fof(f2113,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2112]) ).
fof(f2146,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1324]) ).
fof(f2147,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2146]) ).
fof(f2152,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1330]) ).
fof(f2153,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f2152]) ).
fof(f2210,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc656196813d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ),
inference(cnf_transformation,[],[f1353]) ).
fof(f2211,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_bool_bool(scratc656196813d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))) ),
inference(cnf_transformation,[],[f1353]) ).
fof(f2391,plain,
! [X0] : aa_boo1142376798l_bool(scratc796648202nd_imp,scratc855463089_d_not(X0)) = scratc656196813d_l_or(X0),
inference(cnf_transformation,[],[f162]) ).
fof(f2397,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc796648202nd_imp,X0),fFalse))
| ~ pp(scratc855463089_d_not(X0)) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2398,plain,
! [X0] :
( pp(scratc855463089_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc796648202nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2399,plain,
scratc796648202nd_imp = fimplies,
inference(cnf_transformation,[],[f168]) ).
fof(f2461,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1760542307_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1435]) ).
fof(f2462,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1435]) ).
fof(f2463,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| scratc1760542307_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1435]) ).
fof(f2464,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1435]) ).
fof(f2470,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_co)),
inference(cnf_transformation,[],[f204]) ).
fof(f2481,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ea)),
inference(cnf_transformation,[],[f215]) ).
fof(f2495,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_fq)),
inference(cnf_transformation,[],[f229]) ).
fof(f2519,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ib)),
inference(cnf_transformation,[],[f253]) ).
fof(f2520,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_id)),
inference(cnf_transformation,[],[f254]) ).
fof(f3035,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_id,X0)) ),
inference(cnf_transformation,[],[f1596]) ).
fof(f3037,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ib,X0)) ),
inference(cnf_transformation,[],[f1597]) ).
fof(f3081,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_fq,X0)) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f3105,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ea,X0)) ),
inference(cnf_transformation,[],[f1631]) ).
fof(f3127,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0)) ),
inference(cnf_transformation,[],[f1642]) ).
fof(f3136,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f1646]) ).
fof(f3245,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,X0),X1)) ),
inference(cnf_transformation,[],[f1712]) ).
fof(f3248,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,X0),X1)) ),
inference(cnf_transformation,[],[f1714]) ).
fof(f3503,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,X0),X1)) ),
inference(cnf_transformation,[],[f1849]) ).
fof(f3521,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,X0),X1)) ),
inference(cnf_transformation,[],[f1858]) ).
fof(f3543,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1)) ),
inference(cnf_transformation,[],[f1869]) ).
fof(f3552,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f1873]) ).
fof(f3868,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2054]) ).
fof(f3872,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2056]) ).
fof(f3882,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(X0),X1),X2)) ),
inference(cnf_transformation,[],[f2061]) ).
fof(f3891,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f2065]) ).
fof(f3983,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ),
inference(cnf_transformation,[],[f2111]) ).
fof(f3984,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X2),X3)) ),
inference(cnf_transformation,[],[f2111]) ).
fof(f3985,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3))) ),
inference(cnf_transformation,[],[f2111]) ).
fof(f3986,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f4057,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X3),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f2147]) ).
fof(f4069,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(X1),X3)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f2153]) ).
fof(f4129,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f1050]) ).
fof(f4130,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1051]) ).
fof(f4131,plain,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
inference(cnf_transformation,[],[f1052]) ).
fof(f4132,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f1053]) ).
fof(f4139,plain,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f1062]) ).
fof(f4142,plain,
! [X0] : scratc656196813d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(X0)),
inference(definition_unfolding,[],[f2391,f2399]) ).
fof(f4149,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1))) ),
inference(definition_unfolding,[],[f2211,f4142]) ).
fof(f4150,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,X0),X1)) ),
inference(definition_unfolding,[],[f2210,f4142]) ).
fof(f4224,plain,
! [X0] :
( pp(scratc855463089_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2398,f2399]) ).
fof(f4225,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc855463089_d_not(X0)) ),
inference(definition_unfolding,[],[f2397,f2399]) ).
fof(f4475,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)),
inference(resolution,[],[f4139,f2462]) ).
fof(f4476,plain,
scratc1760542307_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a),
inference(resolution,[],[f4139,f2463]) ).
fof(f4477,plain,
~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))),
inference(resolution,[],[f4139,f2464]) ).
fof(f4490,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f4476,f2461]) ).
fof(f4491,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f4490,f4475]) ).
fof(f4492,plain,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f4477,f3136]) ).
fof(f4570,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f4492,f2462]) ).
fof(f4571,plain,
scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a),
inference(resolution,[],[f4492,f2463]) ).
fof(f4572,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f4492,f2464]) ).
fof(f4584,plain,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f4572,f3552]) ).
fof(f4670,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f4584,f2462]) ).
fof(f4671,plain,
scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a),
inference(resolution,[],[f4584,f2463]) ).
fof(f4672,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),
inference(resolution,[],[f4584,f2464]) ).
fof(f4833,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f4671,f2461]) ).
fof(f4834,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f4833,f4670]) ).
fof(f5591,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_co))
| pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f4491,f3127]) ).
fof(f5617,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_fq))
| pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f4491,f3081]) ).
fof(f6753,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f5617,f2495]) ).
fof(f6797,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f5591,f2470]) ).
fof(f7158,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f4571,f2461]) ).
fof(f7159,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f7158,f4570]) ).
fof(f7285,plain,
~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f4672,f3891]) ).
fof(f8339,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f7285,f2462]) ).
fof(f8340,plain,
scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a),
inference(resolution,[],[f7285,f2463]) ).
fof(f8341,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f7285,f2464]) ).
fof(f9132,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ea))
| pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
inference(resolution,[],[f4834,f3105]) ).
fof(f9172,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_id))
| pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
inference(resolution,[],[f4834,f3035]) ).
fof(f9347,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(forward_subsumption_resolution,[],[f9172,f2520]) ).
fof(f9384,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(forward_subsumption_resolution,[],[f9132,f2481]) ).
fof(f13929,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f8341,f3983]) ).
fof(f13930,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f8341,f3984]) ).
fof(f13931,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(resolution,[],[f8341,f3985]) ).
fof(f14023,plain,
~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),
inference(resolution,[],[f13931,f4149]) ).
fof(f14134,plain,
pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(resolution,[],[f13930,f4150]) ).
fof(f14193,plain,
pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f13929,f4150]) ).
fof(f14241,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f8340,f2461]) ).
fof(f14242,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f14241,f8339]) ).
fof(f14392,plain,
( ~ pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f14134,f4130]) ).
fof(f15225,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aTP_Lamm_ib))
| pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
inference(resolution,[],[f14242,f3037]) ).
fof(f15402,plain,
pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(forward_subsumption_resolution,[],[f15225,f2519]) ).
fof(f16747,plain,
( ~ pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
inference(resolution,[],[f14193,f4130]) ).
fof(f16758,definition,
( spl25_681
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl25_681])],[avatar_definition]) ).
fof(f16761,definition,
( spl25_682
<=> pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl25_682])],[avatar_definition]) ).
fof(f16762,plain,
( ~ pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_682 ),
inference(avatar_component_clause,[],[f16761]) ).
fof(f16763,plain,
( spl25_681
| ~ spl25_682 ),
inference(avatar_split_clause,[],[f16747,f16761,f16758]) ).
fof(f17002,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),fFalse))
| spl25_682 ),
inference(resolution,[],[f16762,f4224]) ).
fof(f17022,plain,
pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))),
inference(resolution,[],[f14023,f4132]) ).
fof(f17023,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(resolution,[],[f14023,f4131]) ).
fof(f17468,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl25_682 ),
inference(resolution,[],[f17002,f4132]) ).
fof(f19029,definition,
( spl25_768
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl25_768])],[avatar_definition]) ).
fof(f19030,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl25_768 ),
inference(avatar_component_clause,[],[f19029]) ).
fof(f21563,plain,
( spl25_768
| spl25_682 ),
inference(avatar_split_clause,[],[f17468,f16761,f19029]) ).
fof(f22606,definition,
( spl25_837
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_837])],[avatar_definition]) ).
fof(f22607,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_837 ),
inference(avatar_component_clause,[],[f22606]) ).
fof(f22609,definition,
( spl25_838
<=> pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_838])],[avatar_definition]) ).
fof(f22610,plain,
( ~ pp(scratc855463089_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| spl25_838 ),
inference(avatar_component_clause,[],[f22609]) ).
fof(f22611,plain,
( spl25_837
| ~ spl25_838 ),
inference(avatar_split_clause,[],[f14392,f22609,f22606]) ).
fof(f22827,plain,
pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),fFalse)),
inference(resolution,[],[f17022,f4225]) ).
fof(f22847,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),fFalse))
| spl25_838 ),
inference(resolution,[],[f22610,f4224]) ).
fof(f22992,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| pp(fFalse) ),
inference(resolution,[],[f22827,f4130]) ).
fof(f23003,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aa_TPTP_ind_TPTP_ind(scratc787907330d_n_pf(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(forward_subsumption_resolution,[],[f22992,f4129]) ).
fof(f23071,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_838 ),
inference(resolution,[],[f22847,f4132]) ).
fof(f23085,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_838 ),
inference(resolution,[],[f23071,f3245]) ).
fof(f23147,definition,
( spl25_894
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_894])],[avatar_definition]) ).
fof(f23148,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_894 ),
inference(avatar_component_clause,[],[f23147]) ).
fof(f23150,definition,
( spl25_895
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl25_895])],[avatar_definition]) ).
fof(f23151,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl25_895 ),
inference(avatar_component_clause,[],[f23150]) ).
fof(f23152,plain,
( ~ spl25_894
| spl25_895
| spl25_838 ),
inference(avatar_split_clause,[],[f23085,f22609,f23150,f23147]) ).
fof(f23153,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f17023,f4069]) ).
fof(f23267,definition,
( spl25_908
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_908])],[avatar_definition]) ).
fof(f23268,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_908 ),
inference(avatar_component_clause,[],[f23267]) ).
fof(f23271,plain,
( ~ spl25_908
| ~ spl25_681
| ~ spl25_837 ),
inference(avatar_split_clause,[],[f23153,f22606,f16758,f23267]) ).
fof(f23404,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ic,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_894 ),
inference(resolution,[],[f23148,f14242]) ).
fof(f23449,plain,
( $false
| spl25_894 ),
inference(forward_subsumption_resolution,[],[f23404,f9347]) ).
fof(f23450,plain,
spl25_894,
inference(avatar_contradiction_clause,[],[f23449]) ).
fof(f24127,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
inference(resolution,[],[f23003,f4057]) ).
fof(f24131,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556567002_moreq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f23003,f3986]) ).
fof(f24218,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(forward_subsumption_resolution,[],[f24131,f13929]) ).
fof(f24221,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc787185752d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl25_768 ),
inference(forward_subsumption_resolution,[],[f24127,f19030]) ).
fof(f24223,definition,
( spl25_948
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_948])],[avatar_definition]) ).
fof(f24224,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_948 ),
inference(avatar_component_clause,[],[f24223]) ).
fof(f24226,definition,
( spl25_949
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_949])],[avatar_definition]) ).
fof(f24227,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1556566991_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_949 ),
inference(avatar_component_clause,[],[f24226]) ).
fof(f24228,plain,
( ~ spl25_948
| ~ spl25_949 ),
inference(avatar_split_clause,[],[f24218,f24226,f24223]) ).
fof(f24234,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24221,f22607]) ).
fof(f24308,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1210245195_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl25_949 ),
inference(resolution,[],[f24227,f3248]) ).
fof(f24385,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ia,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl25_895
| spl25_949 ),
inference(forward_subsumption_resolution,[],[f24308,f23151]) ).
fof(f24397,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ia,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl25_895
| spl25_949 ),
inference(resolution,[],[f24385,f4834]) ).
fof(f24442,plain,
( $false
| ~ spl25_895
| spl25_949 ),
inference(forward_subsumption_resolution,[],[f24397,f15402]) ).
fof(f24443,plain,
( ~ spl25_895
| spl25_949 ),
inference(avatar_contradiction_clause,[],[f24442]) ).
fof(f24476,plain,
( ! [X0] :
( ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl25_768
| ~ spl25_837 ),
inference(resolution,[],[f24234,f2461]) ).
fof(f24516,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_dx(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),X0) )
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24476,f4570]) ).
fof(f24517,plain,
( ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl25_768
| ~ spl25_837 ),
inference(resolution,[],[f24516,f3872]) ).
fof(f24533,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dy(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24517,f4571]) ).
fof(f24545,plain,
( ! [X0] :
( ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dy(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
| ~ spl25_768
| ~ spl25_837 ),
inference(resolution,[],[f24533,f2461]) ).
fof(f24585,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_dy(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X0) )
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24545,f4475]) ).
fof(f24586,plain,
( ~ scratc1760542307_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_768
| ~ spl25_837 ),
inference(resolution,[],[f24585,f3521]) ).
fof(f24602,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24586,f4476]) ).
fof(f24610,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl25_768
| ~ spl25_837 ),
inference(resolution,[],[f24602,f14242]) ).
fof(f24655,plain,
( $false
| ~ spl25_768
| ~ spl25_837 ),
inference(forward_subsumption_resolution,[],[f24610,f9384]) ).
fof(f24656,plain,
( ~ spl25_768
| ~ spl25_837 ),
inference(avatar_contradiction_clause,[],[f24655]) ).
fof(f25020,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_fn(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_908 ),
inference(resolution,[],[f23268,f14242]) ).
fof(f25065,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fo(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl25_908 ),
inference(resolution,[],[f25020,f3868]) ).
fof(f25267,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fo(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_908 ),
inference(resolution,[],[f25065,f4834]) ).
fof(f25315,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fp,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl25_908 ),
inference(resolution,[],[f25267,f3503]) ).
fof(f25337,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fp,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_908 ),
inference(resolution,[],[f25315,f7159]) ).
fof(f25382,plain,
( $false
| spl25_908 ),
inference(forward_subsumption_resolution,[],[f25337,f6753]) ).
fof(f25383,plain,
spl25_908,
inference(avatar_contradiction_clause,[],[f25382]) ).
fof(f25558,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_cl(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_948 ),
inference(resolution,[],[f24224,f14242]) ).
fof(f25606,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cm(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl25_948 ),
inference(resolution,[],[f25558,f3882]) ).
fof(f25688,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cm(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_948 ),
inference(resolution,[],[f25606,f4834]) ).
fof(f25736,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl25_948 ),
inference(resolution,[],[f25688,f3543]) ).
fof(f25758,plain,
( ~ pp(aa_fun171081125l_bool(scratc805149494all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_948 ),
inference(resolution,[],[f25736,f7159]) ).
fof(f25803,plain,
( $false
| spl25_948 ),
inference(forward_subsumption_resolution,[],[f25758,f6797]) ).
fof(f25804,plain,
spl25_948,
inference(avatar_contradiction_clause,[],[f25803]) ).
cnf(s432,plain,
( spl25_681
| ~ spl25_682 ),
inference(sat_conversion,[],[f16763]) ).
cnf(s540,plain,
( spl25_682
| spl25_768 ),
inference(sat_conversion,[],[f21563]) ).
cnf(s571,plain,
( spl25_837
| ~ spl25_838 ),
inference(sat_conversion,[],[f22611]) ).
cnf(s606,plain,
( spl25_838
| ~ spl25_894
| spl25_895 ),
inference(sat_conversion,[],[f23152]) ).
cnf(s616,plain,
( ~ spl25_681
| ~ spl25_837
| ~ spl25_908 ),
inference(sat_conversion,[],[f23271]) ).
cnf(s621,plain,
spl25_894,
inference(sat_conversion,[],[f23450]) ).
cnf(s647,plain,
( ~ spl25_948
| ~ spl25_949 ),
inference(sat_conversion,[],[f24228]) ).
cnf(s653,plain,
( ~ spl25_895
| spl25_949 ),
inference(sat_conversion,[],[f24443]) ).
cnf(s658,plain,
( ~ spl25_768
| ~ spl25_837 ),
inference(sat_conversion,[],[f24656]) ).
cnf(s668,plain,
spl25_908,
inference(sat_conversion,[],[f25383]) ).
cnf(s677,plain,
spl25_948,
inference(sat_conversion,[],[f25804]) ).
cnf(s678,plain,
~ spl25_949,
inference(rat,[],[s647,s677]) ).
cnf(s679,plain,
~ spl25_895,
inference(rat,[],[s653,s678]) ).
cnf(s681,plain,
( ~ spl25_681
| ~ spl25_837 ),
inference(rat,[],[s616,s668]) ).
cnf(s682,plain,
spl25_838,
inference(rat,[],[s606,s679,s621]) ).
cnf(s685,plain,
spl25_837,
inference(rat,[],[s571,s682]) ).
cnf(s686,plain,
~ spl25_768,
inference(rat,[],[s658,s685]) ).
cnf(s687,plain,
~ spl25_681,
inference(rat,[],[s681,s685]) ).
cnf(s692,plain,
spl25_682,
inference(rat,[],[s540,s686]) ).
cnf(s706,plain,
$false,
inference(rat,[],[s432,s692,s687]) ).
fof(f25805,plain,
$false,
inference(avatar_sat_refutation,[],[s706]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM765+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.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 21:19:48 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.48/2.53 % (3415819)Detected formulas, will run a generic FOF schedule.
% 11.48/2.53 % (3415828)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3994384522:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.48/2.53 % (3415828)Refutation not found, incomplete strategy
% 11.48/2.53 % (3415828)------------------------------
% 11.48/2.53 % (3415828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.53 % (3415828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.53 % (3415828)CaDiCaL version: 2.1.3
% 11.48/2.53 % (3415828)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.53 % (3415828)Time elapsed: 0.003 s
% 11.48/2.53 % (3415828)Peak memory usage: 89 MB
% 11.48/2.53 % (3415828)Instructions burned: 5 (million)
% 11.48/2.53 % (3415825)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=1107348152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.48/2.53 % (3415830)dis-21_1_sil=8000:lcm=predicate:random_seed=1346159209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.48/2.53 % (3415827)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2823126155:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.48/2.53 % (3415826)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=460789678:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.48/2.53 % (3415829)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3540921357:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.48/2.53 % (3415824)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=410303624:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.48/2.53 % (3415827)Refutation not found, incomplete strategy
% 11.48/2.53 % (3415827)------------------------------
% 11.48/2.53 % (3415827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.53 % (3415827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.53 % (3415827)CaDiCaL version: 2.1.3
% 11.48/2.53 % (3415827)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.53 % (3415827)Time elapsed: 0.004 s
% 11.48/2.53 % (3415827)Peak memory usage: 88 MB
% 11.48/2.53 % (3415827)Instructions burned: 5 (million)
% 11.48/2.53 % (3415830)Instruction limit reached!
% 11.48/2.53 % (3415830)------------------------------
% 11.48/2.53 % (3415830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.53 % (3415830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.53 % (3415830)CaDiCaL version: 2.1.3
% 11.48/2.53 % (3415830)Termination reason: Instruction limit
% 11.48/2.53 % (3415830)Termination phase: Saturation
% 11.48/2.53 % (3415830)Time elapsed: 0.059 s
% 11.48/2.53 % (3415830)Peak memory usage: 90 MB
% 11.48/2.53 % (3415830)Instructions burned: 130 (million)
% 11.48/2.53 % (3415829)Instruction limit reached!
% 11.48/2.53 % (3415829)------------------------------
% 11.48/2.53 % (3415829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.53 % (3415829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.53 % (3415829)CaDiCaL version: 2.1.3
% 11.48/2.53 % (3415829)Termination reason: Instruction limit
% 11.48/2.53 % (3415829)Termination phase: Saturation
% 11.48/2.53 % (3415829)Time elapsed: 0.067 s
% 11.48/2.53 % (3415829)Peak memory usage: 90 MB
% 11.48/2.53 % (3415829)Instructions burned: 140 (million)
% 11.48/2.53 % (3415828)------------------------------
% 11.48/2.53 % (3415828)------------------------------
% 11.48/2.53 % (3415838)lrs+10_1_sil=8000:sp=occurrence:random_seed=933786551:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.48/2.53 % (3415838)Refutation not found, incomplete strategy
% 11.48/2.53 % (3415838)------------------------------
% 11.48/2.53 % (3415838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.48/2.53 % (3415838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.48/2.53 % (3415838)CaDiCaL version: 2.1.3
% 11.48/2.53 % (3415838)Termination reason: Refutation not found, incomplete strategy
% 11.48/2.53 % (3415838)Time elapsed: 0.004 s
% 11.48/2.53 % (3415838)Peak memory usage: 89 MB
% 19.73/3.77 % (3415838)Instructions burned: 4 (million)
% 19.73/3.77 % (3415839)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1561693856:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.73/3.77 % (3415827)------------------------------
% 19.73/3.77 % (3415827)------------------------------
% 19.73/3.77 % (3415839)Refutation not found, incomplete strategy
% 19.73/3.77 % (3415839)------------------------------
% 19.73/3.77 % (3415839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.73/3.77 % (3415839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.73/3.77 % (3415839)CaDiCaL version: 2.1.3
% 19.73/3.77 % (3415839)Termination reason: Refutation not found, incomplete strategy
% 19.73/3.77 % (3415839)Time elapsed: 0.009 s
% 19.73/3.77 % (3415839)Peak memory usage: 89 MB
% 19.73/3.77 % (3415839)Instructions burned: 17 (million)
% 19.73/3.77 % (3415840)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2209379713:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.73/3.77 % (3415840)Refutation not found, incomplete strategy
% 19.73/3.77 % (3415840)------------------------------
% 19.73/3.77 % (3415840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.73/3.77 % (3415840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.73/3.77 % (3415840)CaDiCaL version: 2.1.3
% 19.73/3.77 % (3415840)Termination reason: Refutation not found, incomplete strategy
% 19.73/3.77 % (3415840)Time elapsed: 0.003 s
% 19.73/3.77 % (3415840)Peak memory usage: 90 MB
% 19.73/3.77 % (3415840)Instructions burned: 7 (million)
% 19.73/3.77 % (3415840)------------------------------
% 19.73/3.77 % (3415840)------------------------------
% 19.73/3.77 % (3415844)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=2853064502:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.73/3.77 % (3415838)------------------------------
% 19.73/3.77 % (3415838)------------------------------
% 19.73/3.77 % (3415839)------------------------------
% 19.73/3.77 % (3415839)------------------------------
% 19.73/3.77 % (3415845)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1959346833:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 19.73/3.77 % (3415845)Refutation not found, incomplete strategy
% 19.73/3.77 % (3415845)------------------------------
% 19.73/3.77 % (3415845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.73/3.77 % (3415845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.73/3.77 % (3415845)CaDiCaL version: 2.1.3
% 19.73/3.77 % (3415845)Termination reason: Refutation not found, incomplete strategy
% 19.73/3.77 % (3415845)Time elapsed: 0.004 s
% 19.73/3.77 % (3415845)Peak memory usage: 89 MB
% 19.73/3.77 % (3415845)Instructions burned: 10 (million)
% 19.73/3.77 % (3415844)Instruction limit reached!
% 19.73/3.77 % (3415844)------------------------------
% 19.73/3.77 % (3415844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.73/3.77 % (3415844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.73/3.77 % (3415844)CaDiCaL version: 2.1.3
% 19.73/3.77 % (3415844)Termination reason: Instruction limit
% 19.73/3.77 % (3415844)Termination phase: Saturation
% 19.73/3.77 % (3415844)Time elapsed: 0.131 s
% 19.73/3.77 % (3415844)Peak memory usage: 97 MB
% 19.73/3.77 % (3415844)Instructions burned: 248 (million)
% 19.73/3.77 % (3415847)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=964542348:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 19.73/3.77 % (3415848)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1292450617:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 19.73/3.77 % (3415845)------------------------------
% 19.73/3.77 % (3415845)------------------------------
% 19.73/3.77 % (3415850)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2077471087:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.73/3.77 % (3415848)Instruction limit reached!
% 19.73/3.77 % (3415848)------------------------------
% 19.73/3.77 % (3415848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.73/3.77 % (3415848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.73/3.77 % (3415848)CaDiCaL version: 2.1.3
% 19.73/3.77 % (3415848)Termination reason: Instruction limit
% 19.73/3.77 % (3415848)Termination phase: Saturation
% 19.73/3.77 % (3415848)Time elapsed: 0.057 s
% 31.35/5.35 % (3415848)Peak memory usage: 90 MB
% 31.35/5.35 % (3415848)Instructions burned: 114 (million)
% 31.35/5.35 % (3415850)Instruction limit reached!
% 31.35/5.35 % (3415850)------------------------------
% 31.35/5.35 % (3415850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.35/5.35 % (3415850)CaDiCaL version: 2.1.3
% 31.35/5.35 % (3415850)Termination reason: Instruction limit
% 31.35/5.35 % (3415850)Termination phase: Saturation
% 31.35/5.35 % (3415850)Time elapsed: 0.057 s
% 31.35/5.35 % (3415850)Peak memory usage: 90 MB
% 31.35/5.35 % (3415850)Instructions burned: 127 (million)
% 31.35/5.35 % (3415853)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1500588884:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 31.35/5.35 % (3415853)Instruction limit reached!
% 31.35/5.35 % (3415853)------------------------------
% 31.35/5.35 % (3415853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.35/5.35 % (3415853)CaDiCaL version: 2.1.3
% 31.35/5.35 % (3415853)Termination reason: Instruction limit
% 31.35/5.35 % (3415853)Termination phase: Saturation
% 31.35/5.35 % (3415853)Time elapsed: 0.032 s
% 31.35/5.35 % (3415853)Peak memory usage: 90 MB
% 31.35/5.35 % (3415853)Instructions burned: 115 (million)
% 31.35/5.35 % (3415855)lrs+10_1_sil=8000:sp=occurrence:random_seed=2728331933:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 31.35/5.35 % (3415855)Refutation not found, incomplete strategy
% 31.35/5.35 % (3415855)------------------------------
% 31.35/5.35 % (3415855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.35/5.35 % (3415855)CaDiCaL version: 2.1.3
% 31.35/5.35 % (3415855)Termination reason: Refutation not found, incomplete strategy
% 31.35/5.35 % (3415855)Time elapsed: 0.005 s
% 31.35/5.35 % (3415855)Peak memory usage: 89 MB
% 31.35/5.35 % (3415855)Instructions burned: 5 (million)
% 31.35/5.35 % (3415856)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2680229750:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 31.35/5.35 % (3415858)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=958885809:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 31.35/5.35 % (3415856)Refutation not found, incomplete strategy
% 31.35/5.35 % (3415856)------------------------------
% 31.35/5.35 % (3415856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.35/5.35 % (3415856)CaDiCaL version: 2.1.3
% 31.35/5.35 % (3415856)Termination reason: Refutation not found, incomplete strategy
% 31.35/5.35 % (3415856)Time elapsed: 0.077 s
% 31.35/5.35 % (3415856)Peak memory usage: 92 MB
% 31.35/5.35 % (3415856)Instructions burned: 156 (million)
% 31.35/5.35 % (3415855)------------------------------
% 31.35/5.35 % (3415855)------------------------------
% 31.35/5.35 % (3415856)------------------------------
% 31.35/5.35 % (3415856)------------------------------
% 31.35/5.35 % (3415862)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1004989282:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 31.35/5.35 % (3415862)Instruction limit reached!
% 31.35/5.35 % (3415862)------------------------------
% 31.35/5.35 % (3415862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.35/5.35 % (3415862)CaDiCaL version: 2.1.3
% 31.35/5.35 % (3415862)Termination reason: Instruction limit
% 31.35/5.35 % (3415862)Termination phase: Saturation
% 31.35/5.35 % (3415862)Time elapsed: 0.068 s
% 31.35/5.35 % (3415862)Peak memory usage: 92 MB
% 31.35/5.35 % (3415862)Instructions burned: 135 (million)
% 31.35/5.35 % (3415863)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1475733158:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 31.35/5.35 % (3415863)Refutation not found, incomplete strategy
% 31.35/5.35 % (3415863)------------------------------
% 31.35/5.35 % (3415863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.35/5.35 % (3415863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.33 % (3415863)CaDiCaL version: 2.1.3
% 59.85/9.33 % (3415863)Termination reason: Refutation not found, incomplete strategy
% 59.85/9.33 % (3415863)Time elapsed: 0.018 s
% 59.85/9.33 % (3415863)Peak memory usage: 90 MB
% 59.85/9.33 % (3415863)Instructions burned: 33 (million)
% 59.85/9.33 % (3415865)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3074983622:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 59.85/9.33 % (3415863)------------------------------
% 59.85/9.33 % (3415863)------------------------------
% 59.85/9.33 % (3415868)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=3280157532:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 59.85/9.33 % (3415868)Refutation not found, incomplete strategy
% 59.85/9.33 % (3415868)------------------------------
% 59.85/9.33 % (3415868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.85/9.33 % (3415868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.33 % (3415868)CaDiCaL version: 2.1.3
% 59.85/9.33 % (3415868)Termination reason: Refutation not found, incomplete strategy
% 59.85/9.33 % (3415868)Time elapsed: 0.011 s
% 59.85/9.33 % (3415868)Peak memory usage: 89 MB
% 59.85/9.33 % (3415868)Instructions burned: 22 (million)
% 59.85/9.33 % (3415847)Instruction limit reached!
% 59.85/9.33 % (3415847)------------------------------
% 59.85/9.33 % (3415847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.85/9.33 % (3415847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.33 % (3415847)CaDiCaL version: 2.1.3
% 59.85/9.33 % (3415847)Termination reason: Instruction limit
% 59.85/9.33 % (3415847)Termination phase: Saturation
% 59.85/9.33 % (3415847)Time elapsed: 1.405 s
% 59.85/9.33 % (3415847)Peak memory usage: 155 MB
% 59.85/9.33 % (3415847)Instructions burned: 2351 (million)
% 59.85/9.33 % (3415868)------------------------------
% 59.85/9.33 % (3415868)------------------------------
% 59.85/9.33 % (3415870)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2352762167:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 59.85/9.33 % (3415870)Instruction limit reached!
% 59.85/9.33 % (3415870)------------------------------
% 59.85/9.33 % (3415870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.85/9.33 % (3415870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.33 % (3415870)CaDiCaL version: 2.1.3
% 59.85/9.33 % (3415870)Termination reason: Instruction limit
% 59.85/9.33 % (3415870)Termination phase: Property scanning
% 59.85/9.33 % (3415870)Time elapsed: 0.063 s
% 59.85/9.33 % (3415870)Peak memory usage: 91 MB
% 59.85/9.33 % (3415870)Instructions burned: 135 (million)
% 59.85/9.33 % (3415871)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1280049651:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 59.85/9.33 % (3415871)Refutation not found, incomplete strategy
% 59.85/9.33 % (3415871)------------------------------
% 59.85/9.33 % (3415871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.85/9.33 % (3415871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.33 % (3415871)CaDiCaL version: 2.1.3
% 59.85/9.34 % (3415871)Termination reason: Refutation not found, incomplete strategy
% 59.85/9.34 % (3415871)Time elapsed: 0.004 s
% 59.85/9.34 % (3415871)Peak memory usage: 89 MB
% 59.85/9.34 % (3415871)Instructions burned: 5 (million)
% 59.85/9.34 % (3415873)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2749584203:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 59.85/9.34 % (3415873)Refutation not found, incomplete strategy
% 59.85/9.34 % (3415873)------------------------------
% 59.85/9.34 % (3415873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.85/9.34 % (3415873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.85/9.34 % (3415873)CaDiCaL version: 2.1.3
% 59.85/9.34 % (3415873)Termination reason: Refutation not found, incomplete strategy
% 59.85/9.34 % (3415873)Time elapsed: 0.004 s
% 59.85/9.34 % (3415873)Peak memory usage: 89 MB
% 59.85/9.34 % (3415873)Instructions burned: 4 (million)
% 59.85/9.34 % (3415871)------------------------------
% 59.85/9.34 % (3415871)------------------------------
% 59.85/9.34 % (3415876)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=2423713267:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 74.78/11.44 % (3415873)------------------------------
% 74.78/11.44 % (3415873)------------------------------
% 74.78/11.44 % (3415878)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=4205251247:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 74.78/11.44 % (3415858)Instruction limit reached!
% 74.78/11.44 % (3415858)------------------------------
% 74.78/11.44 % (3415858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.78/11.44 % (3415858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.78/11.44 % (3415858)CaDiCaL version: 2.1.3
% 74.78/11.44 % (3415858)Termination reason: Instruction limit
% 74.78/11.44 % (3415858)Termination phase: Saturation
% 74.78/11.44 % (3415858)Time elapsed: 1.899 s
% 74.78/11.44 % (3415858)Peak memory usage: 161 MB
% 74.78/11.44 % (3415858)Instructions burned: 5203 (million)
% 74.78/11.44 % (3415878)Instruction limit reached!
% 74.78/11.44 % (3415878)------------------------------
% 74.78/11.44 % (3415878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.78/11.44 % (3415878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.78/11.44 % (3415878)CaDiCaL version: 2.1.3
% 74.78/11.44 % (3415878)Termination reason: Instruction limit
% 74.78/11.44 % (3415878)Termination phase: Saturation
% 74.78/11.44 % (3415878)Time elapsed: 0.070 s
% 74.78/11.44 % (3415878)Peak memory usage: 91 MB
% 74.78/11.44 % (3415878)Instructions burned: 152 (million)
% 74.78/11.44 % (3415880)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=18402610:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 74.78/11.44 % (3415881)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3076348779:i=667:av=off:fsr=off_2968 on theBenchmark for (2968ds/667Mi)
% 74.78/11.44 % (3415881)Instruction limit reached!
% 74.78/11.44 % (3415881)------------------------------
% 74.78/11.44 % (3415881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.78/11.44 % (3415881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.78/11.44 % (3415881)CaDiCaL version: 2.1.3
% 74.78/11.44 % (3415881)Termination reason: Instruction limit
% 74.78/11.44 % (3415881)Termination phase: Saturation
% 74.78/11.44 % (3415881)Time elapsed: 0.321 s
% 74.78/11.44 % (3415881)Peak memory usage: 99 MB
% 74.78/11.44 % (3415881)Instructions burned: 668 (million)
% 74.78/11.44 % (3415884)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=3304803873:s2a=on:i=185:s2at=1.8:fdi=4_2963 on theBenchmark for (2963ds/185Mi)
% 74.78/11.44 % (3415884)Instruction limit reached!
% 74.78/11.44 % (3415884)------------------------------
% 74.78/11.44 % (3415884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.78/11.44 % (3415884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.78/11.44 % (3415884)CaDiCaL version: 2.1.3
% 74.78/11.44 % (3415884)Termination reason: Instruction limit
% 74.78/11.44 % (3415884)Termination phase: Saturation
% 74.78/11.44 % (3415884)Time elapsed: 0.078 s
% 74.78/11.44 % (3415884)Peak memory usage: 91 MB
% 74.78/11.44 % (3415884)Instructions burned: 186 (million)
% 74.78/11.44 % (3415886)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=334313157:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2960 on theBenchmark for (2960ds/193Mi)
% 74.78/11.44 % (3415886)Refutation not found, incomplete strategy
% 74.78/11.44 % (3415886)------------------------------
% 74.78/11.44 % (3415886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.78/11.44 % (3415886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.78/11.44 % (3415886)CaDiCaL version: 2.1.3
% 74.78/11.44 % (3415886)Termination reason: Refutation not found, incomplete strategy
% 74.78/11.44 % (3415886)Time elapsed: 0.007 s
% 74.78/11.44 % (3415886)Peak memory usage: 89 MB
% 74.78/11.44 % (3415886)Instructions burned: 9 (million)
% 74.78/11.44 % (3415886)------------------------------
% 74.78/11.44 % (3415886)------------------------------
% 74.78/11.44 % (3415888)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2281129313:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2956 on theBenchmark for (2956ds/4850Mi)
% 40.44/12.31 % (3415876)Instruction limit reached!
% 40.44/12.31 % (3415876)------------------------------
% 40.44/12.31 % (3415876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415876)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415876)Termination reason: Instruction limit
% 40.44/12.31 % (3415876)Termination phase: Saturation
% 40.44/12.31 % (3415876)Time elapsed: 4.091 s
% 40.44/12.31 % (3415876)Peak memory usage: 173 MB
% 40.44/12.31 % (3415876)Instructions burned: 6061 (million)
% 40.44/12.31 % (3415890)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=865225914:i=12111:sd=1:ss=included_2929 on theBenchmark for (2929ds/12111Mi)
% 40.44/12.31 % (3415880)Instruction limit reached!
% 40.44/12.31 % (3415880)------------------------------
% 40.44/12.31 % (3415880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415880)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415880)Termination reason: Instruction limit
% 40.44/12.31 % (3415880)Termination phase: Saturation
% 40.44/12.31 % (3415880)Time elapsed: 4.149 s
% 40.44/12.31 % (3415880)Peak memory usage: 239 MB
% 40.44/12.31 % (3415880)Instructions burned: 14157 (million)
% 40.44/12.31 % (3415892)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2384967681:i=319:kws=precedence:fsr=off_2926 on theBenchmark for (2926ds/319Mi)
% 40.44/12.31 % (3415888)Instruction limit reached!
% 40.44/12.31 % (3415888)------------------------------
% 40.44/12.31 % (3415888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415888)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415888)Termination reason: Instruction limit
% 40.44/12.31 % (3415888)Termination phase: Saturation
% 40.44/12.31 % (3415888)Time elapsed: 3.101 s
% 40.44/12.31 % (3415888)Peak memory usage: 153 MB
% 40.44/12.31 % (3415888)Instructions burned: 4850 (million)
% 40.44/12.31 % (3415892)Instruction limit reached!
% 40.44/12.31 % (3415892)------------------------------
% 40.44/12.31 % (3415892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415892)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415892)Termination reason: Instruction limit
% 40.44/12.31 % (3415892)Termination phase: Saturation
% 40.44/12.31 % (3415892)Time elapsed: 0.086 s
% 40.44/12.31 % (3415892)Peak memory usage: 94 MB
% 40.44/12.31 % (3415892)Instructions burned: 321 (million)
% 40.44/12.31 % (3415894)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4264744002:i=2064:ep=RST_2924 on theBenchmark for (2924ds/2064Mi)
% 40.44/12.31 % (3415895)dis-1011_128_sil=32000:random_seed=556282901:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 40.44/12.31 % (3415894)Refutation not found, incomplete strategy
% 40.44/12.31 % (3415894)------------------------------
% 40.44/12.31 % (3415894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415894)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415894)Termination reason: Refutation not found, incomplete strategy
% 40.44/12.31 % (3415894)Time elapsed: 0.061 s
% 40.44/12.31 % (3415894)Peak memory usage: 91 MB
% 40.44/12.31 % (3415894)Instructions burned: 136 (million)
% 40.44/12.31 % (3415894)------------------------------
% 40.44/12.31 % (3415894)------------------------------
% 40.44/12.31 % (3415898)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1958636712:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2919 on theBenchmark for (2919ds/757Mi)
% 40.44/12.31 % (3415898)Refutation not found, incomplete strategy
% 40.44/12.31 % (3415898)------------------------------
% 40.44/12.31 % (3415898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415898)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415898)Termination reason: Refutation not found, incomplete strategy
% 40.44/12.31 % (3415898)Time elapsed: 0.009 s
% 40.44/12.31 % (3415898)Peak memory usage: 89 MB
% 40.44/12.31 % (3415898)Instructions burned: 14 (million)
% 40.44/12.31 % (3415898)------------------------------
% 40.44/12.31 % (3415898)------------------------------
% 40.44/12.31 % (3415900)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=165049229:i=13913:ss=axioms:sgt=8_2915 on theBenchmark for (2915ds/13913Mi)
% 40.44/12.31 % (3415895)Instruction limit reached!
% 40.44/12.31 % (3415895)------------------------------
% 40.44/12.31 % (3415895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415895)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415895)Termination reason: Instruction limit
% 40.44/12.31 % (3415895)Termination phase: Saturation
% 40.44/12.31 % (3415895)Time elapsed: 1.128 s
% 40.44/12.31 % (3415895)Peak memory usage: 114 MB
% 40.44/12.31 % (3415895)Instructions burned: 3709 (million)
% 40.44/12.31 % (3415902)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=449911732:i=9925:aac=none_2911 on theBenchmark for (2911ds/9925Mi)
% 40.44/12.31 % (3415900)Refutation not found, incomplete strategy
% 40.44/12.31 % (3415900)------------------------------
% 40.44/12.31 % (3415900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415900)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415900)Termination reason: Refutation not found, incomplete strategy
% 40.44/12.31 % (3415900)Time elapsed: 0.593 s
% 40.44/12.31 % (3415900)Peak memory usage: 131 MB
% 40.44/12.31 % (3415900)Instructions burned: 887 (million)
% 40.44/12.31 % (3415865)Instruction limit reached!
% 40.44/12.31 % (3415865)------------------------------
% 40.44/12.31 % (3415865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415865)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415865)Termination reason: Instruction limit
% 40.44/12.31 % (3415865)Termination phase: Saturation
% 40.44/12.31 % (3415865)Time elapsed: 7.576 s
% 40.44/12.31 % (3415865)Peak memory usage: 172 MB
% 40.44/12.31 % (3415865)Instructions burned: 13193 (million)
% 40.44/12.31 % (3415900)------------------------------
% 40.44/12.31 % (3415900)------------------------------
% 40.44/12.31 % (3415904)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=935322972:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2906 on theBenchmark for (2906ds/2479Mi)
% 40.44/12.31 % (3415904)Refutation not found, incomplete strategy
% 40.44/12.31 % (3415904)------------------------------
% 40.44/12.31 % (3415904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415904)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415904)Termination reason: Refutation not found, incomplete strategy
% 40.44/12.31 % (3415904)Time elapsed: 0.006 s
% 40.44/12.31 % (3415904)Peak memory usage: 89 MB
% 40.44/12.31 % (3415904)Instructions burned: 9 (million)
% 40.44/12.31 % (3415905)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=1332595283:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2905 on theBenchmark for (2905ds/440Mi)
% 40.44/12.31 % (3415904)------------------------------
% 40.44/12.31 % (3415904)------------------------------
% 40.44/12.31 % (3415905)Instruction limit reached!
% 40.44/12.31 % (3415905)------------------------------
% 40.44/12.31 % (3415905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415905)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415905)Termination reason: Instruction limit
% 40.44/12.31 % (3415905)Termination phase: Saturation
% 40.44/12.31 % (3415905)Time elapsed: 0.162 s
% 40.44/12.31 % (3415905)Peak memory usage: 91 MB
% 40.44/12.31 % (3415905)Instructions burned: 443 (million)
% 40.44/12.31 % (3415908)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=3170117890:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2902 on theBenchmark for (2902ds/11145Mi)
% 40.44/12.31 % (3415909)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=4261018777:cts=off:i=3034:av=off:er=known:fsd=on_2901 on theBenchmark for (2901ds/3034Mi)
% 40.44/12.31 % (3415908)Refutation not found, incomplete strategy
% 40.44/12.31 % (3415908)------------------------------
% 40.44/12.31 % (3415908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415908)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415908)Termination reason: Refutation not found, incomplete strategy
% 40.44/12.31 % (3415908)Time elapsed: 0.615 s
% 40.44/12.31 % (3415908)Peak memory usage: 131 MB
% 40.44/12.31 % (3415908)Instructions burned: 932 (million)
% 40.44/12.31 % (3415908)------------------------------
% 40.44/12.31 % (3415908)------------------------------
% 40.44/12.31 % (3415912)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1422883682:st=2:s2a=on:i=524:s2at=2:ss=axioms_2891 on theBenchmark for (2891ds/524Mi)
% 40.44/12.31 % (3415902)First to succeed.
% 40.44/12.31 % (3415902)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3415819"
% 40.44/12.31 % (3415912)Instruction limit reached!
% 40.44/12.31 % (3415912)------------------------------
% 40.44/12.31 % (3415912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.44/12.31 % (3415912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.44/12.31 % (3415912)CaDiCaL version: 2.1.3
% 40.44/12.31 % (3415912)Termination reason: Instruction limit
% 40.44/12.31 % (3415912)Termination phase: Saturation
% 40.44/12.31 % (3415912)Time elapsed: 0.294 s
% 40.44/12.31 % (3415912)Peak memory usage: 94 MB
% 40.44/12.31 % (3415912)Instructions burned: 525 (million)
% 40.44/12.31 % (3415902)Refutation found. Thanks to Tanya!
% 40.44/12.31 % SZS status Theorem for theBenchmark
% 40.44/12.31 % SZS output start Proof for theBenchmark
% See solution above
% 81.34/12.53 % (3415902)------------------------------
% 81.34/12.53 % (3415902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.34/12.53 % (3415902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.34/12.53 % (3415902)CaDiCaL version: 2.1.3
% 81.34/12.53 % (3415902)Termination reason: Refutation
% 81.34/12.53 % (3415902)Time elapsed: 2.236 s
% 81.34/12.53 % (3415902)Peak memory usage: 196 MB
% 81.34/12.53 % (3415902)Instructions burned: 7429 (million)
% 81.34/12.53 % (3415902)------------------------------
% 81.34/12.53 % (3415902)------------------------------
% 81.34/12.53 % (3415819)Success in time 11.443 s
% 81.34/12.53 % Vampire exiting
%------------------------------------------------------------------------------