%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM738+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 : n008.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 12:16:44 PM UTC 2026
% Result : Theorem 63.26s 11.48s
% Output : Refutation 74.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 52
% Syntax : Number of formulae : 300 ( 48 unt; 35 def)
% Number of atoms : 809 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 894 ( 385 ~; 402 |; 41 &)
% ( 56 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 39 ( 38 usr; 36 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-2 aty)
% Number of variables : 207 ( 0 sgn 205 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1614583475_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f198,axiom,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz44) ).
fof(f199,axiom,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ce)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz43) ).
fof(f200,axiom,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz42) ).
fof(f542,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f543,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ce,X0))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__141) ).
fof(f544,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__142) ).
fof(f545,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__143) ).
fof(f587,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__185) ).
fof(f588,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__186) ).
fof(f682,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__280) ).
fof(f683,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__281) ).
fof(f780,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__378) ).
fof(f781,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1681315558all_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__379) ).
fof(f808,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__406) ).
fof(f809,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(scratc2123035643_lessf,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X2),X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__407) ).
fof(f854,conjecture,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f855,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f854]) ).
fof(f856,plain,
~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f855]) ).
fof(f873,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1614583475_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f196]) ).
fof(f874,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1614583475_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f873]) ).
fof(f950,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f587]) ).
fof(f951,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) ),
inference(ennf_transformation,[],[f588]) ).
fof(f1042,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f808]) ).
fof(f1043,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) ),
inference(flattening,[],[f1042]) ).
fof(f1044,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(scratc2123035643_lessf,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) ),
inference(ennf_transformation,[],[f809]) ).
fof(f1045,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(scratc2123035643_lessf,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) ),
inference(flattening,[],[f1044]) ).
fof(f1162,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1614583475_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1614583475_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f874]) ).
fof(f1163,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1614583475_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1614583475_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1)) ) ),
inference(rectify,[],[f1162]) ).
fof(f1164,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1614583475_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1614583475_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1163]) ).
fof(f1323,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ) ),
inference(nnf_transformation,[],[f542]) ).
fof(f1324,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ce,X0))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ce,X0)) ) ),
inference(nnf_transformation,[],[f543]) ).
fof(f1325,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ) ),
inference(nnf_transformation,[],[f544]) ).
fof(f1326,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f545]) ).
fof(f1384,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(nnf_transformation,[],[f950]) ).
fof(f1385,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(flattening,[],[f1384]) ).
fof(f1386,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1)) ) ),
inference(nnf_transformation,[],[f951]) ).
fof(f1387,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1)) ) ),
inference(flattening,[],[f1386]) ).
fof(f1488,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(nnf_transformation,[],[f682]) ).
fof(f1489,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_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,[],[f683]) ).
fof(f1626,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f780]) ).
fof(f1627,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1681315558all_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,[],[f781]) ).
fof(f1668,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1043]) ).
fof(f1669,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1668]) ).
fof(f1670,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(scratc2123035643_lessf,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1045]) ).
fof(f1671,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(scratc2123035643_lessf,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1670]) ).
fof(f1990,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1614583475_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1991,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1992,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| scratc1614583475_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1993,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1164]) ).
fof(f1996,plain,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cc)),
inference(cnf_transformation,[],[f198]) ).
fof(f1997,plain,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ce)),
inference(cnf_transformation,[],[f199]) ).
fof(f1998,plain,
pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cg)),
inference(cnf_transformation,[],[f200]) ).
fof(f2509,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ),
inference(cnf_transformation,[],[f1323]) ).
fof(f2511,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ce,X0)) ),
inference(cnf_transformation,[],[f1324]) ).
fof(f2513,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(cnf_transformation,[],[f1325]) ).
fof(f2516,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f1326]) ).
fof(f2613,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ),
inference(cnf_transformation,[],[f1385]) ).
fof(f2616,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,X0),X1)) ),
inference(cnf_transformation,[],[f1387]) ).
fof(f2812,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ),
inference(cnf_transformation,[],[f1488]) ).
fof(f2815,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f1489]) ).
fof(f3055,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1626]) ).
fof(f3058,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f1627]) ).
fof(f3140,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1669]) ).
fof(f3146,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(scratc2123035643_lessf,X0),X1)) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f3147,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(scratc1699976200d_n_eq,X0),X2)) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f3148,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(scratc1699976200d_n_eq,X1),X3)) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f3149,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(scratc2123035643_lessf,X2),X3)) ),
inference(cnf_transformation,[],[f1671]) ).
fof(f3248,plain,
~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f856]) ).
fof(f3584,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f3586,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ad))
| spl29_1 ),
inference(avatar_component_clause,[],[f3584]) ).
fof(f3587,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f3248,f3584]) ).
fof(f3588,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| spl29_1 ),
inference(resolution,[],[f3586,f1991]) ).
fof(f3589,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f3586,f1992]) ).
fof(f3590,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_1 ),
inference(resolution,[],[f3586,f1993]) ).
fof(f3603,definition,
( spl29_2
<=> scratc1614583475_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f3605,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f3603]) ).
fof(f3606,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f3589,f3584,f3603]) ).
fof(f3608,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f3605,f1990]) ).
fof(f3609,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f3608,f3588]) ).
fof(f3611,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f3612,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f3611]) ).
fof(f3613,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f3609,f3603,f3584,f3611]) ).
fof(f4185,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_ce))
| pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_3 ),
inference(resolution,[],[f3612,f2511]) ).
fof(f4349,plain,
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f4185,f1997]) ).
fof(f4427,definition,
( spl29_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f4429,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_5 ),
inference(avatar_component_clause,[],[f4427]) ).
fof(f4430,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f3590,f3584,f4427]) ).
fof(f4431,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_5 ),
inference(resolution,[],[f4429,f2516]) ).
fof(f4470,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f4472,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(avatar_component_clause,[],[f4470]) ).
fof(f4473,plain,
( ~ spl29_6
| spl29_5 ),
inference(avatar_split_clause,[],[f4431,f4427,f4470]) ).
fof(f4475,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_6 ),
inference(resolution,[],[f4472,f1991]) ).
fof(f4476,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f4472,f1992]) ).
fof(f4477,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_6 ),
inference(resolution,[],[f4472,f1993]) ).
fof(f4490,definition,
( spl29_7
<=> scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f4492,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f4490]) ).
fof(f4493,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f4476,f4470,f4490]) ).
fof(f4495,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f4492,f1990]) ).
fof(f4496,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f4495,f4475]) ).
fof(f4498,definition,
( spl29_8
<=> ! [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(scratc1681315558all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f4499,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_8 ),
inference(avatar_component_clause,[],[f4498]) ).
fof(f4500,plain,
( spl29_8
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f4496,f4490,f4470,f4498]) ).
fof(f5071,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cc))
| pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_8 ),
inference(resolution,[],[f4499,f2513]) ).
fof(f5237,plain,
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_8 ),
inference(forward_subsumption_resolution,[],[f5071,f1996]) ).
fof(f5309,definition,
( spl29_9
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f5311,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_9 ),
inference(avatar_component_clause,[],[f5309]) ).
fof(f5312,plain,
( ~ spl29_9
| spl29_6 ),
inference(avatar_split_clause,[],[f4477,f4470,f5309]) ).
fof(f5313,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_9 ),
inference(resolution,[],[f5311,f2815]) ).
fof(f5360,definition,
( spl29_10
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f5362,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_10 ),
inference(avatar_component_clause,[],[f5360]) ).
fof(f5363,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f5313,f5309,f5360]) ).
fof(f5365,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl29_10 ),
inference(resolution,[],[f5362,f1991]) ).
fof(f5366,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| spl29_10 ),
inference(resolution,[],[f5362,f1992]) ).
fof(f5367,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_10 ),
inference(resolution,[],[f5362,f1993]) ).
fof(f5380,definition,
( spl29_11
<=> scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f5382,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a)
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f5380]) ).
fof(f5383,plain,
( spl29_11
| spl29_10 ),
inference(avatar_split_clause,[],[f5366,f5360,f5380]) ).
fof(f5385,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(resolution,[],[f5382,f1990]) ).
fof(f5386,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| spl29_10
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f5385,f5365]) ).
fof(f5388,definition,
( spl29_12
<=> ! [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(scratc1681315558all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f5389,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f5388]) ).
fof(f5390,plain,
( spl29_12
| spl29_10
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f5386,f5380,f5360,f5388]) ).
fof(f5581,definition,
( spl29_15
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f5583,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f5581]) ).
fof(f5584,plain,
( spl29_15
| spl29_10 ),
inference(avatar_split_clause,[],[f5365,f5360,f5581]) ).
fof(f5586,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f5588,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f5586]) ).
fof(f5589,plain,
( ~ spl29_16
| spl29_10 ),
inference(avatar_split_clause,[],[f5367,f5360,f5586]) ).
fof(f5590,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_16 ),
inference(resolution,[],[f5588,f3058]) ).
fof(f5636,definition,
( spl29_17
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f5638,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f5636]) ).
fof(f5639,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f5590,f5586,f5636]) ).
fof(f5641,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl29_17 ),
inference(resolution,[],[f5638,f1991]) ).
fof(f5642,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| spl29_17 ),
inference(resolution,[],[f5638,f1992]) ).
fof(f5643,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_17 ),
inference(resolution,[],[f5638,f1993]) ).
fof(f5656,definition,
( spl29_18
<=> scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f5658,plain,
( scratc1614583475_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a)
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f5656]) ).
fof(f5659,plain,
( spl29_18
| spl29_17 ),
inference(avatar_split_clause,[],[f5642,f5636,f5656]) ).
fof(f5661,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_18 ),
inference(resolution,[],[f5658,f1990]) ).
fof(f5662,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| spl29_17
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f5661,f5641]) ).
fof(f5671,definition,
( spl29_20
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f5673,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(avatar_component_clause,[],[f5671]) ).
fof(f5674,plain,
( ~ spl29_20
| spl29_17 ),
inference(avatar_split_clause,[],[f5643,f5636,f5671]) ).
fof(f5675,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_20 ),
inference(resolution,[],[f5673,f3146]) ).
fof(f5676,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl29_20 ),
inference(resolution,[],[f5673,f3147]) ).
fof(f5677,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(resolution,[],[f5673,f3148]) ).
fof(f5678,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_20 ),
inference(resolution,[],[f5673,f3149]) ).
fof(f6536,definition,
( spl29_22
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f6538,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f6536]) ).
fof(f6539,plain,
( spl29_22
| spl29_20 ),
inference(avatar_split_clause,[],[f5677,f5671,f6536]) ).
fof(f6638,definition,
( spl29_25
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl29_25])],[avatar_definition]) ).
fof(f6640,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl29_25 ),
inference(avatar_component_clause,[],[f6638]) ).
fof(f6641,plain,
( ~ spl29_25
| spl29_20 ),
inference(avatar_split_clause,[],[f5678,f5671,f6638]) ).
fof(f6730,definition,
( spl29_26
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_26])],[avatar_definition]) ).
fof(f6732,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f6730]) ).
fof(f6733,plain,
( spl29_26
| spl29_17 ),
inference(avatar_split_clause,[],[f5641,f5636,f6730]) ).
fof(f6737,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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_cf,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)))))))
| spl29_25 ),
inference(resolution,[],[f6640,f2613]) ).
fof(f6792,definition,
( spl29_29
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl29_29])],[avatar_definition]) ).
fof(f6794,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ spl29_29 ),
inference(avatar_component_clause,[],[f6792]) ).
fof(f6795,plain,
( spl29_29
| spl29_20 ),
inference(avatar_split_clause,[],[f5676,f5671,f6792]) ).
fof(f6802,plain,
( ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)),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))))))) )
| ~ spl29_29 ),
inference(resolution,[],[f6794,f3140]) ).
fof(f6839,definition,
( spl29_30
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_30])],[avatar_definition]) ).
fof(f6841,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2123035643_lessf,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_30 ),
inference(avatar_component_clause,[],[f6839]) ).
fof(f6842,plain,
( spl29_30
| spl29_20 ),
inference(avatar_split_clause,[],[f5675,f5671,f6839]) ).
fof(f6845,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl29_30 ),
inference(resolution,[],[f6841,f2616]) ).
fof(f6981,definition,
( spl29_33
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,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,[spl29_33])],[avatar_definition]) ).
fof(f6983,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,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)))))))
| spl29_33 ),
inference(avatar_component_clause,[],[f6981]) ).
fof(f6985,definition,
( spl29_34
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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,[spl29_34])],[avatar_definition]) ).
fof(f6987,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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)))))))
| spl29_34 ),
inference(avatar_component_clause,[],[f6985]) ).
fof(f6988,plain,
( ~ spl29_33
| ~ spl29_34
| spl29_25 ),
inference(avatar_split_clause,[],[f6737,f6638,f6985,f6981]) ).
fof(f7059,definition,
( spl29_35
<=> ! [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(scratc1681315558all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_35])],[avatar_definition]) ).
fof(f7060,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(scratc1681315558all_of(aTP_Lamm_a),X0)) )
| ~ spl29_35 ),
inference(avatar_component_clause,[],[f7059]) ).
fof(f7061,plain,
( spl29_35
| spl29_17
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f5662,f5656,f5636,f7059]) ).
fof(f7157,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_12
| spl29_33 ),
inference(resolution,[],[f6983,f5389]) ).
fof(f7230,definition,
( spl29_36
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl29_36])],[avatar_definition]) ).
fof(f7232,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl29_36 ),
inference(avatar_component_clause,[],[f7230]) ).
fof(f7234,definition,
( spl29_37
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_37])],[avatar_definition]) ).
fof(f7236,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl29_37 ),
inference(avatar_component_clause,[],[f7234]) ).
fof(f7237,plain,
( ~ spl29_36
| spl29_37
| ~ spl29_30 ),
inference(avatar_split_clause,[],[f6845,f6839,f7234,f7230]) ).
fof(f7246,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cd,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_8
| spl29_36 ),
inference(resolution,[],[f7232,f4499]) ).
fof(f7285,plain,
( $false
| ~ spl29_3
| ~ spl29_8
| spl29_36 ),
inference(forward_subsumption_resolution,[],[f7246,f4349]) ).
fof(f7286,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_36 ),
inference(avatar_contradiction_clause,[],[f7285]) ).
fof(f7916,definition,
( spl29_64
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
introduced(definition,[new_symbols(definition,[spl29_64])],[avatar_definition]) ).
fof(f7918,plain,
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_64 ),
inference(avatar_component_clause,[],[f7916]) ).
fof(f7919,plain,
( spl29_64
| ~ spl29_8 ),
inference(avatar_split_clause,[],[f5237,f4498,f7916]) ).
fof(f8583,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aTP_Lamm_cg))
| pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_35 ),
inference(resolution,[],[f7060,f2509]) ).
fof(f8746,plain,
( pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl29_35 ),
inference(forward_subsumption_resolution,[],[f8583,f1998]) ).
fof(f8819,plain,
( $false
| ~ spl29_12
| spl29_33
| ~ spl29_35 ),
inference(forward_subsumption_resolution,[],[f8746,f7157]) ).
fof(f8820,plain,
( ~ spl29_12
| spl29_33
| ~ spl29_35 ),
inference(avatar_contradiction_clause,[],[f8819]) ).
fof(f9716,definition,
( spl29_89
<=> ! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)),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))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_89])],[avatar_definition]) ).
fof(f9717,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)),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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,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))))))) )
| ~ spl29_89 ),
inference(avatar_component_clause,[],[f9716]) ).
fof(f9718,plain,
( spl29_89
| ~ spl29_29 ),
inference(avatar_split_clause,[],[f6802,f6792,f9716]) ).
fof(f9733,plain,
( ! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ scratc1614583475_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))))),X2)
| ~ 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(scratc1681315558all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),X1))) )
| ~ spl29_89 ),
inference(resolution,[],[f9717,f1990]) ).
fof(f9769,plain,
( ! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ scratc1614583475_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))))),X2)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),X1))) )
| ~ spl29_15
| ~ spl29_89 ),
inference(forward_subsumption_resolution,[],[f9733,f5583]) ).
fof(f10303,definition,
( spl29_100
<=> ! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| ~ scratc1614583475_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))))),X2)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),X1))) ) ),
introduced(definition,[new_symbols(definition,[spl29_100])],[avatar_definition]) ).
fof(f10304,plain,
( ! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X1),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(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(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,X0),X1))
| ~ scratc1614583475_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))))),X2)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),X1))) )
| ~ spl29_100 ),
inference(avatar_component_clause,[],[f10303]) ).
fof(f10305,plain,
( spl29_100
| ~ spl29_15
| ~ spl29_89 ),
inference(avatar_split_clause,[],[f9769,f9716,f5581,f10303]) ).
fof(f10311,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
| spl29_34
| ~ spl29_100 ),
inference(resolution,[],[f10304,f6987]) ).
fof(f23375,definition,
( spl29_350
<=> ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_350])],[avatar_definition]) ).
fof(f23376,plain,
( ! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_bz(X0),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(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))),X1)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad))) )
| ~ spl29_350 ),
inference(avatar_component_clause,[],[f23375]) ).
fof(f23377,plain,
( spl29_350
| spl29_34
| ~ spl29_100 ),
inference(avatar_split_clause,[],[f10311,f10303,f6985,f23375]) ).
fof(f23378,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) )
| ~ spl29_350 ),
inference(resolution,[],[f23376,f3055]) ).
fof(f23397,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) )
| ~ spl29_11
| ~ spl29_350 ),
inference(forward_subsumption_resolution,[],[f23378,f5382]) ).
fof(f23399,definition,
( spl29_351
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_351])],[avatar_definition]) ).
fof(f23400,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ca(X0),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(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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))))))))) )
| ~ spl29_351 ),
inference(avatar_component_clause,[],[f23399]) ).
fof(f23401,plain,
( spl29_351
| ~ spl29_11
| ~ spl29_350 ),
inference(avatar_split_clause,[],[f23397,f23375,f5380,f23399]) ).
fof(f23413,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))))),X1)
| ~ 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(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_351 ),
inference(resolution,[],[f23400,f1990]) ).
fof(f23450,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_26
| ~ spl29_351 ),
inference(forward_subsumption_resolution,[],[f23413,f6732]) ).
fof(f23456,definition,
( spl29_353
<=> ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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)))))))))
| ~ scratc1614583475_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))))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_353])],[avatar_definition]) ).
fof(f23457,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1699976200d_n_eq,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_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ scratc1614583475_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))))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ca(X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_353 ),
inference(avatar_component_clause,[],[f23456]) ).
fof(f23458,plain,
( spl29_353
| ~ spl29_26
| ~ spl29_351 ),
inference(avatar_split_clause,[],[f23450,f23399,f6730,f23456]) ).
fof(f23472,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc321873791_moref,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ scratc1614583475_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))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_22
| ~ spl29_353 ),
inference(resolution,[],[f23457,f6538]) ).
fof(f23522,plain,
( ! [X0] :
( ~ scratc1614583475_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))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_22
| ~ spl29_37
| ~ spl29_353 ),
inference(forward_subsumption_resolution,[],[f23472,f7236]) ).
fof(f23524,definition,
( spl29_354
<=> ! [X0] :
( ~ scratc1614583475_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))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_354])],[avatar_definition]) ).
fof(f23525,plain,
( ! [X0] :
( ~ scratc1614583475_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))))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) )
| ~ spl29_354 ),
inference(avatar_component_clause,[],[f23524]) ).
fof(f23526,plain,
( spl29_354
| ~ spl29_22
| ~ spl29_37
| ~ spl29_353 ),
inference(avatar_split_clause,[],[f23522,f23456,f7234,f6536,f23524]) ).
fof(f23528,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| ~ spl29_18
| ~ spl29_354 ),
inference(resolution,[],[f23525,f5658]) ).
fof(f23534,definition,
( spl29_355
<=> pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
introduced(definition,[new_symbols(definition,[spl29_355])],[avatar_definition]) ).
fof(f23536,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ca(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl29_355 ),
inference(avatar_component_clause,[],[f23534]) ).
fof(f23537,plain,
( ~ spl29_355
| ~ spl29_18
| ~ spl29_354 ),
inference(avatar_split_clause,[],[f23528,f23524,f5656,f23534]) ).
fof(f23538,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_355 ),
inference(resolution,[],[f23536,f2812]) ).
fof(f23573,definition,
( spl29_356
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl29_356])],[avatar_definition]) ).
fof(f23575,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl29_356 ),
inference(avatar_component_clause,[],[f23573]) ).
fof(f23576,plain,
( ~ spl29_356
| spl29_355 ),
inference(avatar_split_clause,[],[f23538,f23534,f23573]) ).
fof(f23584,plain,
( ~ pp(aa_fun171081125l_bool(scratc1681315558all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| ~ spl29_3
| spl29_356 ),
inference(resolution,[],[f23575,f3612]) ).
fof(f23624,plain,
( $false
| ~ spl29_3
| ~ spl29_64
| spl29_356 ),
inference(forward_subsumption_resolution,[],[f23584,f7918]) ).
fof(f23625,plain,
( ~ spl29_3
| ~ spl29_64
| spl29_356 ),
inference(avatar_contradiction_clause,[],[f23624]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f3587]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f3606]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f3613]) ).
cnf(s5,plain,
( spl29_1
| ~ spl29_5 ),
inference(sat_conversion,[],[f4430]) ).
cnf(s6,plain,
( spl29_5
| ~ spl29_6 ),
inference(sat_conversion,[],[f4473]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f4493]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_7
| spl29_8 ),
inference(sat_conversion,[],[f4500]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_9 ),
inference(sat_conversion,[],[f5312]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f5363]) ).
cnf(s11,plain,
( spl29_10
| spl29_11 ),
inference(sat_conversion,[],[f5383]) ).
cnf(s12,plain,
( spl29_10
| ~ spl29_11
| spl29_12 ),
inference(sat_conversion,[],[f5390]) ).
cnf(s15,plain,
( spl29_10
| spl29_15 ),
inference(sat_conversion,[],[f5584]) ).
cnf(s16,plain,
( spl29_10
| ~ spl29_16 ),
inference(sat_conversion,[],[f5589]) ).
cnf(s17,plain,
( spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f5639]) ).
cnf(s18,plain,
( spl29_17
| spl29_18 ),
inference(sat_conversion,[],[f5659]) ).
cnf(s20,plain,
( spl29_17
| ~ spl29_20 ),
inference(sat_conversion,[],[f5674]) ).
cnf(s22,plain,
( spl29_20
| spl29_22 ),
inference(sat_conversion,[],[f6539]) ).
cnf(s24,plain,
( spl29_20
| ~ spl29_25 ),
inference(sat_conversion,[],[f6641]) ).
cnf(s25,plain,
( spl29_17
| spl29_26 ),
inference(sat_conversion,[],[f6733]) ).
cnf(s28,plain,
( spl29_20
| spl29_29 ),
inference(sat_conversion,[],[f6795]) ).
cnf(s29,plain,
( spl29_20
| spl29_30 ),
inference(sat_conversion,[],[f6842]) ).
cnf(s32,plain,
( spl29_25
| ~ spl29_33
| ~ spl29_34 ),
inference(sat_conversion,[],[f6988]) ).
cnf(s33,plain,
( spl29_17
| ~ spl29_18
| spl29_35 ),
inference(sat_conversion,[],[f7061]) ).
cnf(s34,plain,
( ~ spl29_30
| ~ spl29_36
| spl29_37 ),
inference(sat_conversion,[],[f7237]) ).
cnf(s35,plain,
( ~ spl29_3
| ~ spl29_8
| spl29_36 ),
inference(sat_conversion,[],[f7286]) ).
cnf(s62,plain,
( ~ spl29_8
| spl29_64 ),
inference(sat_conversion,[],[f7919]) ).
cnf(s70,plain,
( ~ spl29_12
| spl29_33
| ~ spl29_35 ),
inference(sat_conversion,[],[f8820]) ).
cnf(s90,plain,
( ~ spl29_29
| spl29_89 ),
inference(sat_conversion,[],[f9718]) ).
cnf(s101,plain,
( ~ spl29_15
| ~ spl29_89
| spl29_100 ),
inference(sat_conversion,[],[f10305]) ).
cnf(s343,plain,
( spl29_34
| ~ spl29_100
| spl29_350 ),
inference(sat_conversion,[],[f23377]) ).
cnf(s344,plain,
( ~ spl29_11
| ~ spl29_350
| spl29_351 ),
inference(sat_conversion,[],[f23401]) ).
cnf(s346,plain,
( ~ spl29_26
| ~ spl29_351
| spl29_353 ),
inference(sat_conversion,[],[f23458]) ).
cnf(s347,plain,
( ~ spl29_22
| ~ spl29_37
| ~ spl29_353
| spl29_354 ),
inference(sat_conversion,[],[f23526]) ).
cnf(s348,plain,
( ~ spl29_18
| ~ spl29_354
| ~ spl29_355 ),
inference(sat_conversion,[],[f23537]) ).
cnf(s349,plain,
( spl29_355
| ~ spl29_356 ),
inference(sat_conversion,[],[f23576]) ).
cnf(s350,plain,
( ~ spl29_3
| ~ spl29_64
| spl29_356 ),
inference(sat_conversion,[],[f23625]) ).
cnf(s353,plain,
~ spl29_5,
inference(rat,[],[s5,s1]) ).
cnf(s355,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s363,plain,
~ spl29_6,
inference(rat,[],[s6,s353]) ).
cnf(s369,plain,
spl29_3,
inference(rat,[],[s3,s1,s355]) ).
cnf(s375,plain,
~ spl29_9,
inference(rat,[],[s9,s363]) ).
cnf(s376,plain,
spl29_7,
inference(rat,[],[s7,s363]) ).
cnf(s402,plain,
~ spl29_10,
inference(rat,[],[s10,s375]) ).
cnf(s403,plain,
spl29_8,
inference(rat,[],[s8,s363,s376]) ).
cnf(s434,plain,
~ spl29_16,
inference(rat,[],[s16,s402]) ).
cnf(s435,plain,
spl29_15,
inference(rat,[],[s15,s402]) ).
cnf(s436,plain,
spl29_11,
inference(rat,[],[s11,s402]) ).
cnf(s445,plain,
spl29_64,
inference(rat,[],[s62,s403]) ).
cnf(s450,plain,
spl29_36,
inference(rat,[],[s35,s369,s403]) ).
cnf(s460,plain,
~ spl29_17,
inference(rat,[],[s17,s434]) ).
cnf(s463,plain,
spl29_12,
inference(rat,[],[s12,s402,s436]) ).
cnf(s470,plain,
spl29_356,
inference(rat,[],[s350,s369,s445]) ).
cnf(s497,plain,
spl29_26,
inference(rat,[],[s25,s460]) ).
cnf(s498,plain,
~ spl29_20,
inference(rat,[],[s20,s460]) ).
cnf(s499,plain,
spl29_18,
inference(rat,[],[s18,s460]) ).
cnf(s515,plain,
spl29_355,
inference(rat,[],[s349,s470]) ).
cnf(s524,plain,
spl29_30,
inference(rat,[],[s29,s498]) ).
cnf(s525,plain,
spl29_29,
inference(rat,[],[s28,s498]) ).
cnf(s527,plain,
~ spl29_25,
inference(rat,[],[s24,s498]) ).
cnf(s528,plain,
spl29_22,
inference(rat,[],[s22,s498]) ).
cnf(s529,plain,
~ spl29_354,
inference(rat,[],[s348,s515,s499]) ).
cnf(s530,plain,
spl29_35,
inference(rat,[],[s33,s460,s499]) ).
cnf(s544,plain,
spl29_37,
inference(rat,[],[s34,s450,s524]) ).
cnf(s546,plain,
spl29_89,
inference(rat,[],[s90,s525]) ).
cnf(s572,plain,
spl29_33,
inference(rat,[],[s70,s463,s530]) ).
cnf(s579,plain,
~ spl29_353,
inference(rat,[],[s347,s529,s528,s544]) ).
cnf(s582,plain,
spl29_100,
inference(rat,[],[s101,s435,s546]) ).
cnf(s605,plain,
~ spl29_34,
inference(rat,[],[s32,s527,s572]) ).
cnf(s608,plain,
~ spl29_351,
inference(rat,[],[s346,s497,s579]) ).
cnf(s611,plain,
spl29_350,
inference(rat,[],[s343,s582,s605]) ).
cnf(s618,plain,
$false,
inference(rat,[],[s344,s436,s608,s611]) ).
fof(f23626,plain,
$false,
inference(avatar_sat_refutation,[],[s618]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM738+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.40 % Computer : n008.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8046.5625MB
% 0.16/0.40 % OS : Linux 6.8.0-71-generic
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Sun Sep 27 21:14:54 UTC 2026
% 0.16/0.41 % CPUTime :
% 0.16/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 18.66/3.77 % (1604785)Detected formulas, will run a generic FOF schedule.
% 18.66/3.77 % (1604796)dis-21_1_sil=8000:lcm=predicate:random_seed=2892509293: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)
% 18.66/3.77 % (1604794)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3423813470:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.66/3.77 % (1604794)Refutation not found, incomplete strategy
% 18.66/3.77 % (1604794)------------------------------
% 18.66/3.77 % (1604794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.77 % (1604794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.77 % (1604794)CaDiCaL version: 2.1.3
% 18.66/3.77 % (1604794)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.77 % (1604794)Time elapsed: 0.004 s
% 18.66/3.77 % (1604794)Peak memory usage: 88 MB
% 18.66/3.77 % (1604794)Instructions burned: 4 (million)
% 18.66/3.77 % (1604796)Instruction limit reached!
% 18.66/3.77 % (1604796)------------------------------
% 18.66/3.77 % (1604796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.77 % (1604796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.77 % (1604796)CaDiCaL version: 2.1.3
% 18.66/3.77 % (1604796)Termination reason: Instruction limit
% 18.66/3.77 % (1604796)Termination phase: Saturation
% 18.66/3.77 % (1604796)Time elapsed: 0.060 s
% 18.66/3.77 % (1604796)Peak memory usage: 90 MB
% 18.66/3.77 % (1604796)Instructions burned: 129 (million)
% 18.66/3.77 % (1604790)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=1495941904:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.66/3.77 % (1604793)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3924650899:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.66/3.77 % (1604791)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=3384182834:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.66/3.77 % (1604792)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=49368850:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.66/3.77 % (1604793)Refutation not found, incomplete strategy
% 18.66/3.77 % (1604793)------------------------------
% 18.66/3.77 % (1604793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.77 % (1604793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.77 % (1604793)CaDiCaL version: 2.1.3
% 18.66/3.77 % (1604793)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.77 % (1604793)Time elapsed: 0.005 s
% 18.66/3.77 % (1604793)Peak memory usage: 88 MB
% 18.66/3.77 % (1604793)Instructions burned: 4 (million)
% 18.66/3.77 % (1604795)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3546035442:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.66/3.77 % (1604795)Instruction limit reached!
% 18.66/3.77 % (1604795)------------------------------
% 18.66/3.77 % (1604795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.77 % (1604795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.77 % (1604795)CaDiCaL version: 2.1.3
% 18.66/3.77 % (1604795)Termination reason: Instruction limit
% 18.66/3.77 % (1604795)Termination phase: Saturation
% 18.66/3.77 % (1604795)Time elapsed: 0.130 s
% 18.66/3.77 % (1604795)Peak memory usage: 90 MB
% 18.66/3.77 % (1604795)Instructions burned: 139 (million)
% 18.66/3.77 % (1604799)lrs+10_1_sil=8000:sp=occurrence:random_seed=3005811827:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.66/3.77 % (1604799)Refutation not found, incomplete strategy
% 18.66/3.77 % (1604799)------------------------------
% 18.66/3.77 % (1604799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.77 % (1604799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.77 % (1604799)CaDiCaL version: 2.1.3
% 18.66/3.77 % (1604799)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.77 % (1604799)Time elapsed: 0.003 s
% 18.66/3.77 % (1604799)Peak memory usage: 89 MB
% 18.66/3.77 % (1604799)Instructions burned: 4 (million)
% 18.66/3.77 % (1604794)------------------------------
% 29.21/5.17 % (1604794)------------------------------
% 29.21/5.17 % (1604805)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2453578396:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 29.21/5.17 % (1604793)------------------------------
% 29.21/5.17 % (1604793)------------------------------
% 29.21/5.17 % (1604805)Refutation not found, incomplete strategy
% 29.21/5.17 % (1604805)------------------------------
% 29.21/5.17 % (1604805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.21/5.17 % (1604805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.21/5.17 % (1604805)CaDiCaL version: 2.1.3
% 29.21/5.17 % (1604805)Termination reason: Refutation not found, incomplete strategy
% 29.21/5.17 % (1604805)Time elapsed: 0.014 s
% 29.21/5.17 % (1604805)Peak memory usage: 89 MB
% 29.21/5.17 % (1604805)Instructions burned: 14 (million)
% 29.21/5.17 % (1604799)------------------------------
% 29.21/5.17 % (1604799)------------------------------
% 29.21/5.17 % (1604807)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1143259222:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 29.21/5.17 % (1604807)Refutation not found, incomplete strategy
% 29.21/5.17 % (1604807)------------------------------
% 29.21/5.17 % (1604807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.21/5.17 % (1604807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.21/5.17 % (1604807)CaDiCaL version: 2.1.3
% 29.21/5.17 % (1604807)Termination reason: Refutation not found, incomplete strategy
% 29.21/5.17 % (1604807)Time elapsed: 0.015 s
% 29.21/5.17 % (1604807)Peak memory usage: 89 MB
% 29.21/5.17 % (1604807)Instructions burned: 12 (million)
% 29.21/5.17 % (1604809)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=2883853946:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 29.21/5.17 % (1604809)Instruction limit reached!
% 29.21/5.17 % (1604809)------------------------------
% 29.21/5.17 % (1604809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.21/5.17 % (1604809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.21/5.17 % (1604809)CaDiCaL version: 2.1.3
% 29.21/5.17 % (1604809)Termination reason: Instruction limit
% 29.21/5.17 % (1604809)Termination phase: Saturation
% 29.21/5.17 % (1604809)Time elapsed: 0.155 s
% 29.21/5.17 % (1604809)Peak memory usage: 92 MB
% 29.21/5.17 % (1604809)Instructions burned: 248 (million)
% 29.21/5.17 % (1604810)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1831509089:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 29.21/5.17 % (1604810)Refutation not found, incomplete strategy
% 29.21/5.17 % (1604810)------------------------------
% 29.21/5.17 % (1604810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.21/5.17 % (1604810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.21/5.17 % (1604810)CaDiCaL version: 2.1.3
% 29.21/5.17 % (1604810)Termination reason: Refutation not found, incomplete strategy
% 29.21/5.17 % (1604810)Time elapsed: 0.010 s
% 29.21/5.17 % (1604810)Peak memory usage: 89 MB
% 29.21/5.17 % (1604810)Instructions burned: 9 (million)
% 29.21/5.17 % (1604805)------------------------------
% 29.21/5.17 % (1604805)------------------------------
% 29.21/5.17 % (1604814)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2788334751:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 29.21/5.17 % (1604807)------------------------------
% 29.21/5.17 % (1604807)------------------------------
% 29.21/5.17 % (1604815)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3171197520:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 29.21/5.17 % (1604810)------------------------------
% 29.21/5.17 % (1604810)------------------------------
% 29.21/5.17 % (1604815)Instruction limit reached!
% 29.21/5.17 % (1604815)------------------------------
% 29.21/5.17 % (1604815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.21/5.17 % (1604815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.21/5.17 % (1604815)CaDiCaL version: 2.1.3
% 29.21/5.17 % (1604815)Termination reason: Instruction limit
% 29.21/5.17 % (1604815)Termination phase: Saturation
% 29.21/5.17 % (1604815)Time elapsed: 0.100 s
% 29.21/5.17 % (1604815)Peak memory usage: 90 MB
% 29.21/5.17 % (1604815)Instructions burned: 114 (million)
% 29.21/5.17 % (1604817)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3940156399:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 63.26/11.48 % (1604820)lrs+10_1_sil=8000:sp=occurrence:random_seed=3895947367:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 63.26/11.48 % (1604817)Instruction limit reached!
% 63.26/11.48 % (1604817)------------------------------
% 63.26/11.48 % (1604817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604817)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604817)Termination reason: Instruction limit
% 63.26/11.48 % (1604817)Termination phase: Saturation
% 63.26/11.48 % (1604817)Time elapsed: 0.105 s
% 63.26/11.48 % (1604817)Peak memory usage: 90 MB
% 63.26/11.48 % (1604817)Instructions burned: 127 (million)
% 63.26/11.48 % (1604819)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2341164190:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 63.26/11.48 % (1604819)Instruction limit reached!
% 63.26/11.48 % (1604819)------------------------------
% 63.26/11.48 % (1604819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604819)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604819)Termination reason: Instruction limit
% 63.26/11.48 % (1604819)Termination phase: Saturation
% 63.26/11.48 % (1604819)Time elapsed: 0.107 s
% 63.26/11.48 % (1604819)Peak memory usage: 90 MB
% 63.26/11.48 % (1604819)Instructions burned: 114 (million)
% 63.26/11.48 % (1604823)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2996563916:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 63.26/11.48 % (1604825)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=538518408:i=5202:ss=axioms:sgt=16_2981 on theBenchmark for (2981ds/5202Mi)
% 63.26/11.48 % (1604823)Refutation not found, incomplete strategy
% 63.26/11.48 % (1604823)------------------------------
% 63.26/11.48 % (1604823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604823)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604823)Termination reason: Refutation not found, incomplete strategy
% 63.26/11.48 % (1604823)Time elapsed: 0.110 s
% 63.26/11.48 % (1604823)Peak memory usage: 91 MB
% 63.26/11.48 % (1604823)Instructions burned: 124 (million)
% 63.26/11.48 % (1604823)------------------------------
% 63.26/11.48 % (1604823)------------------------------
% 63.26/11.48 % (1604820)Instruction limit reached!
% 63.26/11.48 % (1604820)------------------------------
% 63.26/11.48 % (1604820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604820)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604820)Termination reason: Instruction limit
% 63.26/11.48 % (1604820)Termination phase: Saturation
% 63.26/11.48 % (1604820)Time elapsed: 0.840 s
% 63.26/11.48 % (1604820)Peak memory usage: 101 MB
% 63.26/11.48 % (1604820)Instructions burned: 908 (million)
% 63.26/11.48 % (1604814)Instruction limit reached!
% 63.26/11.48 % (1604814)------------------------------
% 63.26/11.48 % (1604814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604814)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604814)Termination reason: Instruction limit
% 63.26/11.48 % (1604814)Termination phase: Saturation
% 63.26/11.48 % (1604814)Time elapsed: 1.296 s
% 63.26/11.48 % (1604814)Peak memory usage: 150 MB
% 63.26/11.48 % (1604814)Instructions burned: 2351 (million)
% 63.26/11.48 % (1604828)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1290933847:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2975 on theBenchmark for (2975ds/134Mi)
% 63.26/11.48 % (1604828)Instruction limit reached!
% 63.26/11.48 % (1604828)------------------------------
% 63.26/11.48 % (1604828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604828)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604828)Termination reason: Instruction limit
% 63.26/11.48 % (1604828)Termination phase: Saturation
% 63.26/11.48 % (1604828)Time elapsed: 0.098 s
% 63.26/11.48 % (1604828)Peak memory usage: 93 MB
% 63.26/11.48 % (1604828)Instructions burned: 135 (million)
% 63.26/11.48 % (1604830)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2993690917:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 63.26/11.48 % (1604829)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2155061819:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 63.26/11.48 % (1604829)Refutation not found, incomplete strategy
% 63.26/11.48 % (1604829)------------------------------
% 63.26/11.48 % (1604829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604829)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604829)Termination reason: Refutation not found, incomplete strategy
% 63.26/11.48 % (1604829)Time elapsed: 0.026 s
% 63.26/11.48 % (1604829)Peak memory usage: 89 MB
% 63.26/11.48 % (1604829)Instructions burned: 30 (million)
% 63.26/11.48 % (1604833)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=3041346020:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 63.26/11.48 % (1604833)Instruction limit reached!
% 63.26/11.48 % (1604833)------------------------------
% 63.26/11.48 % (1604833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604833)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604833)Termination reason: Instruction limit
% 63.26/11.48 % (1604833)Termination phase: Saturation
% 63.26/11.48 % (1604833)Time elapsed: 0.118 s
% 63.26/11.48 % (1604833)Peak memory usage: 91 MB
% 63.26/11.48 % (1604833)Instructions burned: 125 (million)
% 63.26/11.48 % (1604829)------------------------------
% 63.26/11.48 % (1604829)------------------------------
% 63.26/11.48 % (1604838)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1269477530:i=134:gtgl=5:slsql=off:gtg=exists_sym_2968 on theBenchmark for (2968ds/134Mi)
% 63.26/11.48 % (1604838)Instruction limit reached!
% 63.26/11.48 % (1604838)------------------------------
% 63.26/11.48 % (1604838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604838)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604838)Termination reason: Instruction limit
% 63.26/11.48 % (1604838)Termination phase: Saturation
% 63.26/11.48 % (1604838)Time elapsed: 0.060 s
% 63.26/11.48 % (1604838)Peak memory usage: 92 MB
% 63.26/11.48 % (1604838)Instructions burned: 135 (million)
% 63.26/11.48 % (1604839)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2462973119:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/141Mi)
% 63.26/11.48 % (1604839)Refutation not found, incomplete strategy
% 63.26/11.48 % (1604839)------------------------------
% 63.26/11.48 % (1604839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604839)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604839)Termination reason: Refutation not found, incomplete strategy
% 63.26/11.48 % (1604839)Time elapsed: 0.006 s
% 63.26/11.48 % (1604839)Peak memory usage: 89 MB
% 63.26/11.48 % (1604839)Instructions burned: 4 (million)
% 63.26/11.48 % (1604843)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=606154447:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 63.26/11.48 % (1604843)Refutation not found, incomplete strategy
% 63.26/11.48 % (1604843)------------------------------
% 63.26/11.48 % (1604843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604843)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604843)Termination reason: Refutation not found, incomplete strategy
% 63.26/11.48 % (1604843)Time elapsed: 0.004 s
% 63.26/11.48 % (1604843)Peak memory usage: 89 MB
% 63.26/11.48 % (1604843)Instructions burned: 5 (million)
% 63.26/11.48 % (1604839)------------------------------
% 63.26/11.48 % (1604839)------------------------------
% 63.26/11.48 % (1604843)------------------------------
% 63.26/11.48 % (1604843)------------------------------
% 63.26/11.48 % (1604846)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=2130850864:i=6060:aac=none:ins=25_2961 on theBenchmark for (2961ds/6060Mi)
% 63.26/11.48 % (1604847)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=977375498:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2960 on theBenchmark for (2960ds/150Mi)
% 63.26/11.48 % (1604847)Instruction limit reached!
% 63.26/11.48 % (1604847)------------------------------
% 63.26/11.48 % (1604847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604847)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604847)Termination reason: Instruction limit
% 63.26/11.48 % (1604847)Termination phase: Saturation
% 63.26/11.48 % (1604847)Time elapsed: 0.132 s
% 63.26/11.48 % (1604847)Peak memory usage: 91 MB
% 63.26/11.48 % (1604847)Instructions burned: 150 (million)
% 63.26/11.48 % (1604852)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4118335160:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 63.26/11.48 % (1604825)Instruction limit reached!
% 63.26/11.48 % (1604825)------------------------------
% 63.26/11.48 % (1604825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604825)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604825)Termination reason: Instruction limit
% 63.26/11.48 % (1604825)Termination phase: Saturation
% 63.26/11.48 % (1604825)Time elapsed: 3.753 s
% 63.26/11.48 % (1604825)Peak memory usage: 161 MB
% 63.26/11.48 % (1604825)Instructions burned: 5203 (million)
% 63.26/11.48 % (1604858)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=808303297:i=667:av=off:fsr=off_2941 on theBenchmark for (2941ds/667Mi)
% 63.26/11.48 % (1604858)Instruction limit reached!
% 63.26/11.48 % (1604858)------------------------------
% 63.26/11.48 % (1604858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604858)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604858)Termination reason: Instruction limit
% 63.26/11.48 % (1604858)Termination phase: Saturation
% 63.26/11.48 % (1604858)Time elapsed: 0.288 s
% 63.26/11.48 % (1604858)Peak memory usage: 100 MB
% 63.26/11.48 % (1604858)Instructions burned: 670 (million)
% 63.26/11.48 % (1604862)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=3393500348:s2a=on:i=185:s2at=1.8:fdi=4_2936 on theBenchmark for (2936ds/185Mi)
% 63.26/11.48 % (1604862)Instruction limit reached!
% 63.26/11.48 % (1604862)------------------------------
% 63.26/11.48 % (1604862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604862)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604862)Termination reason: Instruction limit
% 63.26/11.48 % (1604862)Termination phase: Saturation
% 63.26/11.48 % (1604862)Time elapsed: 0.144 s
% 63.26/11.48 % (1604862)Peak memory usage: 91 MB
% 63.26/11.48 % (1604862)Instructions burned: 188 (million)
% 63.26/11.48 % (1604864)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3802025743:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2933 on theBenchmark for (2933ds/193Mi)
% 63.26/11.48 % (1604864)Refutation not found, incomplete strategy
% 63.26/11.48 % (1604864)------------------------------
% 63.26/11.48 % (1604864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.26/11.48 % (1604864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.26/11.48 % (1604864)CaDiCaL version: 2.1.3
% 63.26/11.48 % (1604864)Termination reason: Refutation not found, incomplete strategy
% 63.26/11.48 % (1604864)Time elapsed: 0.010 s
% 63.26/11.48 % (1604864)Peak memory usage: 89 MB
% 63.26/11.48 % (1604864)Instructions burned: 8 (million)
% 63.26/11.48 % (1604864)------------------------------
% 63.26/11.48 % (1604864)------------------------------
% 63.26/11.48 % (1604868)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=3203318351:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2926 on theBenchmark for (2926ds/4850Mi)
% 63.26/11.48 % (1604792)First to succeed.
% 63.26/11.48 % (1604792)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1604785"
% 63.26/11.48 % (1604792)Refutation found. Thanks to Tanya!
% 63.26/11.48 % SZS status Theorem for theBenchmark
% 63.26/11.48 % SZS output start Proof for theBenchmark
% See solution above
% 74.46/11.74 % (1604792)------------------------------
% 74.46/11.74 % (1604792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.46/11.74 % (1604792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.46/11.74 % (1604792)CaDiCaL version: 2.1.3
% 74.46/11.74 % (1604792)Termination reason: Refutation
% 74.46/11.74 % (1604792)Time elapsed: 9.675 s
% 74.46/11.74 % (1604792)Peak memory usage: 219 MB
% 74.46/11.74 % (1604792)Instructions burned: 9753 (million)
% 74.46/11.74 % (1604792)------------------------------
% 74.46/11.74 % (1604792)------------------------------
% 74.46/11.74 % (1604785)Success in time 10.465 s
% 74.46/11.74 % Vampire exiting
%------------------------------------------------------------------------------