%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM739+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 68.78s 12.21s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 43
% Syntax : Number of formulae : 254 ( 66 unt; 12 def)
% Number of atoms : 675 ( 2 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 734 ( 313 ~; 308 |; 57 &)
% ( 43 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 13 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 22 con; 0-2 aty)
% Number of variables : 234 ( 0 sgn 232 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,axiom,
! [X0] :
( pp(scratc1218002814_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1920204413nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f167,axiom,
scratc1920204413nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f198,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2123082032_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f204,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ci)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz41f) ).
fof(f207,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_co)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz41c) ).
fof(f209,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cw)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz44) ).
fof(f210,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cy)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz43) ).
fof(f211,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_da)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz42) ).
fof(f220,axiom,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_dw)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz38) ).
fof(f548,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__135) ).
fof(f553,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_da,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f554,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cy,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__141) ).
fof(f555,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cw,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__142) ).
fof(f557,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__144) ).
fof(f560,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ci,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__147) ).
fof(f565,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__152) ).
fof(f607,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__194) ).
fof(f608,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__195) ).
fof(f609,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__196) ).
fof(f615,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
=> pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__202) ).
fof(f631,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1))
<=> ( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__218) ).
fof(f710,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__297) ).
fof(f712,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__299) ).
fof(f809,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__396) ).
fof(f811,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
<=> pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__398) ).
fof(f838,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(scratc671278541_moreq,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X2),X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__425) ).
fof(f839,axiom,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__426) ).
fof(f875,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f876,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f878,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f885,conjecture,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ad)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f886,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(negated_conjecture,[status(cth)],[f885]) ).
fof(f887,plain,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(flattening,[],[f886]) ).
fof(f904,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2123082032_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f198]) ).
fof(f905,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2123082032_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f904]) ).
fof(f981,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f607]) ).
fof(f982,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)) ) ),
inference(ennf_transformation,[],[f608]) ).
fof(f983,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f609]) ).
fof(f989,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
<=> ( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f615]) ).
fof(f999,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))) ) ),
inference(ennf_transformation,[],[f631]) ).
fof(f1081,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(scratc671278541_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) ),
inference(ennf_transformation,[],[f838]) ).
fof(f1082,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(scratc671278541_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) ),
inference(flattening,[],[f1081]) ).
fof(f1083,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f839]) ).
fof(f1084,plain,
! [X0,X1,X2,X3] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) ),
inference(flattening,[],[f1083]) ).
fof(f1182,plain,
! [X0] :
( ( pp(scratc1218002814_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1920204413nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1920204413nd_imp,X0),fFalse))
| ~ pp(scratc1218002814_d_not(X0)) ) ),
inference(nnf_transformation,[],[f166]) ).
fof(f1205,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2123082032_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2123082032_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f905]) ).
fof(f1206,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2123082032_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2123082032_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1)) ) ),
inference(rectify,[],[f1205]) ).
fof(f1207,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2123082032_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2123082032_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1206]) ).
fof(f1361,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0)) ) ),
inference(nnf_transformation,[],[f548]) ).
fof(f1366,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_da,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_da,X0)) ) ),
inference(nnf_transformation,[],[f553]) ).
fof(f1367,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cy,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cy,X0)) ) ),
inference(nnf_transformation,[],[f554]) ).
fof(f1368,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cw,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cw,X0)) ) ),
inference(nnf_transformation,[],[f555]) ).
fof(f1370,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0)) ) ),
inference(nnf_transformation,[],[f557]) ).
fof(f1373,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ci,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ci,X0)) ) ),
inference(nnf_transformation,[],[f560]) ).
fof(f1378,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0)) ) ),
inference(nnf_transformation,[],[f565]) ).
fof(f1436,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1)) ) ),
inference(nnf_transformation,[],[f981]) ).
fof(f1437,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1)) ) ),
inference(flattening,[],[f1436]) ).
fof(f1438,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1)) ) ),
inference(nnf_transformation,[],[f982]) ).
fof(f1439,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1)) ) ),
inference(flattening,[],[f1438]) ).
fof(f1440,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1)) ) ),
inference(nnf_transformation,[],[f983]) ).
fof(f1441,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1)) ) ),
inference(flattening,[],[f1440]) ).
fof(f1452,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
| ( ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) )
& ( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1)) ) ),
inference(nnf_transformation,[],[f989]) ).
fof(f1453,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1))
| ( ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) )
& ( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1)) ) ),
inference(flattening,[],[f1452]) ).
fof(f1476,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
& pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1)) ) ),
inference(nnf_transformation,[],[f999]) ).
fof(f1477,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
& pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1)) ) ),
inference(flattening,[],[f1476]) ).
fof(f1556,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,X0),X1)) ) ),
inference(nnf_transformation,[],[f710]) ).
fof(f1558,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_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,[],[f712]) ).
fof(f1695,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f809]) ).
fof(f1697,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) )
& ( pp(aa_fun171081125l_bool(scratc1814651817all_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,[],[f811]) ).
fof(f1738,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(scratc671278541_moreq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1082]) ).
fof(f1739,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(scratc671278541_moreq,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1738]) ).
fof(f1740,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3)) ) ),
inference(nnf_transformation,[],[f1084]) ).
fof(f1741,plain,
! [X0,X1,X2,X3] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3)) ) ),
inference(flattening,[],[f1740]) ).
fof(f2002,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1920204413nd_imp,X0),fFalse))
| ~ pp(scratc1218002814_d_not(X0)) ),
inference(cnf_transformation,[],[f1182]) ).
fof(f2003,plain,
! [X0] :
( pp(scratc1218002814_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1920204413nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1182]) ).
fof(f2004,plain,
scratc1920204413nd_imp = fimplies,
inference(cnf_transformation,[],[f167]) ).
fof(f2066,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2123082032_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f2067,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f2068,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| scratc2123082032_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f2069,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f1207]) ).
fof(f2076,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ci)),
inference(cnf_transformation,[],[f204]) ).
fof(f2079,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_co)),
inference(cnf_transformation,[],[f207]) ).
fof(f2081,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cw)),
inference(cnf_transformation,[],[f209]) ).
fof(f2082,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cy)),
inference(cnf_transformation,[],[f210]) ).
fof(f2083,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_da)),
inference(cnf_transformation,[],[f211]) ).
fof(f2092,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_dw)),
inference(cnf_transformation,[],[f220]) ).
fof(f2584,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_dw,X0)) ),
inference(cnf_transformation,[],[f1361]) ).
fof(f2594,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_da,X0)) ),
inference(cnf_transformation,[],[f1366]) ).
fof(f2596,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cy,X0)) ),
inference(cnf_transformation,[],[f1367]) ).
fof(f2598,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cw,X0)) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2599,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cw,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,X0))) ),
inference(cnf_transformation,[],[f1368]) ).
fof(f2602,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_co,X0)) ),
inference(cnf_transformation,[],[f1370]) ).
fof(f2608,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ci,X0)) ),
inference(cnf_transformation,[],[f1373]) ).
fof(f2619,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ad,X0))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,X0))) ),
inference(cnf_transformation,[],[f1378]) ).
fof(f2716,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,X0),X1)) ),
inference(cnf_transformation,[],[f1437]) ).
fof(f2719,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,X0),X1)) ),
inference(cnf_transformation,[],[f1439]) ).
fof(f2722,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,X0),X1)) ),
inference(cnf_transformation,[],[f1441]) ).
fof(f2740,plain,
! [X0,X1] :
( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,X0),X1)) ),
inference(cnf_transformation,[],[f1453]) ).
fof(f2780,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,X0),X1))
| ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_lessf,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,X0),X1)) ),
inference(cnf_transformation,[],[f1477]) ).
fof(f2939,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,X0),X1)) ),
inference(cnf_transformation,[],[f1556]) ).
fof(f2944,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1))) ),
inference(cnf_transformation,[],[f1558]) ).
fof(f3184,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1695]) ).
fof(f3189,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(X0),X1),X2))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(X0),X1),X2))) ),
inference(cnf_transformation,[],[f1697]) ).
fof(f3272,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(scratc671278541_moreq,X0),X1)) ),
inference(cnf_transformation,[],[f1739]) ).
fof(f3273,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(scratc2049380939d_n_eq,X0),X2)) ),
inference(cnf_transformation,[],[f1739]) ).
fof(f3274,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(scratc2049380939d_n_eq,X1),X3)) ),
inference(cnf_transformation,[],[f1739]) ).
fof(f3275,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(scratc671278541_moreq,X2),X3)) ),
inference(cnf_transformation,[],[f1739]) ).
fof(f3276,plain,
! [X2,X3,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X2),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X3))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(X0),X1),X2),X3)) ),
inference(cnf_transformation,[],[f1741]) ).
fof(f3374,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f875]) ).
fof(f3375,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f876]) ).
fof(f3377,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f878]) ).
fof(f3384,plain,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ad)),
inference(cnf_transformation,[],[f887]) ).
fof(f3468,plain,
! [X0] :
( pp(scratc1218002814_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2003,f2004]) ).
fof(f3469,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1218002814_d_not(X0)) ),
inference(definition_unfolding,[],[f2002,f2004]) ).
fof(f3715,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad)),
inference(resolution,[],[f3384,f2067]) ).
fof(f3716,plain,
scratc2123082032_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a),
inference(resolution,[],[f3384,f2068]) ).
fof(f3717,plain,
~ pp(aa_TPTP_ind_bool(aTP_Lamm_ad,sK12(aTP_Lamm_a,aTP_Lamm_ad))),
inference(resolution,[],[f3384,f2069]) ).
fof(f3730,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f3716,f2066]) ).
fof(f3731,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f3730,f3715]) ).
fof(f3732,plain,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f3717,f2619]) ).
fof(f3810,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(resolution,[],[f3732,f2067]) ).
fof(f3811,plain,
scratc2123082032_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))),aTP_Lamm_a),
inference(resolution,[],[f3732,f2068]) ).
fof(f3812,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f3732,f2069]) ).
fof(f3824,plain,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f3812,f2944]) ).
fof(f3910,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(resolution,[],[f3824,f2067]) ).
fof(f3911,plain,
scratc2123082032_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),aTP_Lamm_a),
inference(resolution,[],[f3824,f2068]) ).
fof(f3912,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),
inference(resolution,[],[f3824,f2069]) ).
fof(f3925,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f3911,f2066]) ).
fof(f3926,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f3925,f3910]) ).
fof(f4526,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_ci))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
inference(resolution,[],[f3926,f2608]) ).
fof(f4532,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cy))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))) ),
inference(resolution,[],[f3926,f2596]) ).
fof(f5629,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(forward_subsumption_resolution,[],[f4532,f2082]) ).
fof(f5635,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(forward_subsumption_resolution,[],[f4526,f2076]) ).
fof(f6145,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f3811,f2066]) ).
fof(f6146,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f6145,f3810]) ).
fof(f6751,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_co))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f3731,f2602]) ).
fof(f6765,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_dw))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad)))) ),
inference(resolution,[],[f3731,f2584]) ).
fof(f6937,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f6765,f2092]) ).
fof(f6948,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),
inference(forward_subsumption_resolution,[],[f6751,f2079]) ).
fof(f7121,plain,
~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f3912,f3189]) ).
fof(f8235,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))),
inference(resolution,[],[f7121,f2067]) ).
fof(f8236,plain,
scratc2123082032_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))),aTP_Lamm_a),
inference(resolution,[],[f7121,f2068]) ).
fof(f8237,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f7121,f2069]) ).
fof(f8869,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_da))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
inference(resolution,[],[f6146,f2594]) ).
fof(f8879,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_dw))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))) ),
inference(resolution,[],[f6146,f2584]) ).
fof(f9046,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(forward_subsumption_resolution,[],[f8879,f2092]) ).
fof(f9053,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),
inference(forward_subsumption_resolution,[],[f8869,f2083]) ).
fof(f10846,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))),
inference(resolution,[],[f8237,f3272]) ).
fof(f10847,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_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))))))),
inference(resolution,[],[f8237,f3273]) ).
fof(f10848,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_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))))))))),
inference(resolution,[],[f8237,f3274]) ).
fof(f10849,plain,
~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278541_moreq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))),
inference(resolution,[],[f8237,f3275]) ).
fof(f10928,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
inference(resolution,[],[f10847,f2722]) ).
fof(f10973,definition,
( spl25_603
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))) ),
introduced(definition,[new_symbols(definition,[spl25_603])],[avatar_definition]) ).
fof(f10974,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))
| spl25_603 ),
inference(avatar_component_clause,[],[f10973]) ).
fof(f10976,definition,
( spl25_604
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aTP_Lamm_ad))) ),
introduced(definition,[new_symbols(definition,[spl25_604])],[avatar_definition]) ).
fof(f10977,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl25_604 ),
inference(avatar_component_clause,[],[f10976]) ).
fof(f10978,plain,
( ~ spl25_603
| spl25_604 ),
inference(avatar_split_clause,[],[f10928,f10976,f10973]) ).
fof(f10982,plain,
( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
inference(resolution,[],[f10846,f2740]) ).
fof(f11017,definition,
( spl25_605
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl25_605])],[avatar_definition]) ).
fof(f11018,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| spl25_605 ),
inference(avatar_component_clause,[],[f11017]) ).
fof(f11020,definition,
( spl25_606
<=> pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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,[spl25_606])],[avatar_definition]) ).
fof(f11021,plain,
( pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))))
| ~ spl25_606 ),
inference(avatar_component_clause,[],[f11020]) ).
fof(f11022,plain,
( ~ spl25_605
| spl25_606 ),
inference(avatar_split_clause,[],[f10982,f11020,f11017]) ).
fof(f11023,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f10848,f2722]) ).
fof(f11068,definition,
( spl25_607
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_607])],[avatar_definition]) ).
fof(f11069,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_607 ),
inference(avatar_component_clause,[],[f11068]) ).
fof(f11071,definition,
( spl25_608
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) ),
introduced(definition,[new_symbols(definition,[spl25_608])],[avatar_definition]) ).
fof(f11072,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ spl25_608 ),
inference(avatar_component_clause,[],[f11071]) ).
fof(f11073,plain,
( ~ spl25_607
| spl25_608 ),
inference(avatar_split_clause,[],[f11023,f11071,f11068]) ).
fof(f11075,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f8236,f2066]) ).
fof(f11076,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(scratc1814651817all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f11075,f8235]) ).
fof(f11830,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aTP_Lamm_cw))
| pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) ),
inference(resolution,[],[f11076,f2598]) ).
fof(f12010,plain,
pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))),
inference(forward_subsumption_resolution,[],[f11830,f2081]) ).
fof(f13048,plain,
( ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
inference(resolution,[],[f10849,f2780]) ).
fof(f13193,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_603 ),
inference(resolution,[],[f10974,f3926]) ).
fof(f13238,plain,
( $false
| spl25_603 ),
inference(forward_subsumption_resolution,[],[f13193,f6937]) ).
fof(f13239,plain,
spl25_603,
inference(avatar_contradiction_clause,[],[f13238]) ).
fof(f13248,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cn,sK12(aTP_Lamm_a,aTP_Lamm_ad))))
| spl25_605 ),
inference(resolution,[],[f11018,f6146]) ).
fof(f13293,plain,
( $false
| spl25_605 ),
inference(forward_subsumption_resolution,[],[f13248,f6948]) ).
fof(f13294,plain,
spl25_605,
inference(avatar_contradiction_clause,[],[f13293]) ).
fof(f13303,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_dv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_607 ),
inference(resolution,[],[f11069,f11076]) ).
fof(f13365,plain,
( $false
| spl25_607 ),
inference(forward_subsumption_resolution,[],[f13303,f9046]) ).
fof(f13366,plain,
spl25_607,
inference(avatar_contradiction_clause,[],[f13365]) ).
fof(f13437,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(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)))))),X0),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc671278530_moref,X0),sK12(aTP_Lamm_a,aTP_Lamm_ad))) )
| ~ spl25_604 ),
inference(resolution,[],[f10977,f3276]) ).
fof(f13476,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))),fFalse))
| ~ spl25_606 ),
inference(resolution,[],[f11021,f3469]) ).
fof(f13531,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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)))))
| pp(fFalse)
| ~ spl25_606 ),
inference(resolution,[],[f13476,f3375]) ).
fof(f13542,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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)))))
| ~ spl25_606 ),
inference(forward_subsumption_resolution,[],[f13531,f3374]) ).
fof(f14365,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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_cz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ spl25_606 ),
inference(resolution,[],[f13542,f2716]) ).
fof(f14431,definition,
( spl25_698
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,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,[spl25_698])],[avatar_definition]) ).
fof(f14432,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| spl25_698 ),
inference(avatar_component_clause,[],[f14431]) ).
fof(f14434,definition,
( spl25_699
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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,[spl25_699])],[avatar_definition]) ).
fof(f14435,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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)))
| spl25_699 ),
inference(avatar_component_clause,[],[f14434]) ).
fof(f14436,plain,
( ~ spl25_698
| ~ spl25_699
| ~ spl25_606 ),
inference(avatar_split_clause,[],[f14365,f11020,f14434,f14431]) ).
fof(f15054,plain,
( ! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc671278530_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ scratc2123082032_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X2)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ad))
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(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)))))),X1))) )
| ~ spl25_604 ),
inference(resolution,[],[f13437,f2066]) ).
fof(f15089,plain,
( ! [X2,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X2),aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_ct(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)))))),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc671278530_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ scratc2123082032_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),X2)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1)) )
| ~ spl25_604 ),
inference(forward_subsumption_resolution,[],[f15054,f3715]) ).
fof(f15093,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc671278530_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ scratc2123082032_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ad),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(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)))))),X1)) )
| ~ spl25_604 ),
inference(resolution,[],[f15089,f3184]) ).
fof(f15109,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cu(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)))))),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_moref,X1),sK12(aTP_Lamm_a,aTP_Lamm_ad)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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))))))) )
| ~ spl25_604 ),
inference(forward_subsumption_resolution,[],[f15093,f3716]) ).
fof(f17281,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc2049380939d_n_eq,X0),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(scratc671278530_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_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(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)))))))) )
| ~ spl25_604 ),
inference(resolution,[],[f15109,f6146]) ).
fof(f17298,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cu(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(scratc671278530_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(scratc2049380939d_n_eq,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))) )
| ~ spl25_604
| spl25_699 ),
inference(forward_subsumption_resolution,[],[f17281,f14435]) ).
fof(f17470,definition,
( spl25_787
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_787])],[avatar_definition]) ).
fof(f17471,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_787 ),
inference(avatar_component_clause,[],[f17470]) ).
fof(f17473,definition,
( spl25_788
<=> pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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,[spl25_788])],[avatar_definition]) ).
fof(f17474,plain,
( ~ pp(scratc1218002814_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))))))))
| spl25_788 ),
inference(avatar_component_clause,[],[f17473]) ).
fof(f17475,plain,
( ~ spl25_787
| ~ spl25_788 ),
inference(avatar_split_clause,[],[f13048,f17473,f17470]) ).
fof(f17588,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ch,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_787 ),
inference(resolution,[],[f17471,f11076]) ).
fof(f17633,plain,
( $false
| spl25_787 ),
inference(forward_subsumption_resolution,[],[f17588,f5635]) ).
fof(f17634,plain,
spl25_787,
inference(avatar_contradiction_clause,[],[f17633]) ).
fof(f17638,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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))))))))),fFalse))
| spl25_788 ),
inference(resolution,[],[f17474,f3468]) ).
fof(f17651,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc324956734_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)))))))))
| spl25_788 ),
inference(resolution,[],[f17638,f3377]) ).
fof(f17666,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_788 ),
inference(resolution,[],[f17651,f2719]) ).
fof(f17712,definition,
( spl25_803
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))) ),
introduced(definition,[new_symbols(definition,[spl25_803])],[avatar_definition]) ).
fof(f17713,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| spl25_803 ),
inference(avatar_component_clause,[],[f17712]) ).
fof(f17715,definition,
( spl25_804
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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,[spl25_804])],[avatar_definition]) ).
fof(f17716,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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)))))))
| ~ spl25_804 ),
inference(avatar_component_clause,[],[f17715]) ).
fof(f17717,plain,
( ~ spl25_803
| spl25_804
| spl25_788 ),
inference(avatar_split_clause,[],[f17666,f17473,f17715,f17712]) ).
fof(f17826,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cx,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))
| spl25_803 ),
inference(resolution,[],[f17713,f11076]) ).
fof(f17871,plain,
( $false
| spl25_803 ),
inference(forward_subsumption_resolution,[],[f17826,f5629]) ).
fof(f17872,plain,
spl25_803,
inference(avatar_contradiction_clause,[],[f17871]) ).
fof(f18469,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cv,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(scratc2049380939d_n_eq,X0),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(scratc671278530_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))))))) )
| ~ spl25_604
| spl25_699 ),
inference(resolution,[],[f17298,f2939]) ).
fof(f19469,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,X0),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(scratc671278530_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)))))))
| ~ scratc2123082032_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)
| ~ 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(scratc1814651817all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_cv,X0))) )
| ~ spl25_604
| spl25_699 ),
inference(resolution,[],[f18469,f2066]) ).
fof(f19502,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc671278530_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(scratc2049380939d_n_eq,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ scratc2123082032_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(scratc1814651817all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_cv,X0))) )
| ~ spl25_604
| spl25_699 ),
inference(forward_subsumption_resolution,[],[f19469,f3910]) ).
fof(f19516,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2049380939d_n_eq,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_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))
| ~ scratc2123082032_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))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))) )
| ~ spl25_604
| spl25_699
| ~ spl25_804 ),
inference(resolution,[],[f19502,f17716]) ).
fof(f19555,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_cv,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))))))))))
| ~ scratc2123082032_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))))),X0) )
| ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(forward_subsumption_resolution,[],[f19516,f11072]) ).
fof(f19556,plain,
( ~ scratc2123082032_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(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(resolution,[],[f19555,f2598]) ).
fof(f19572,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cw,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))))))))
| ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(forward_subsumption_resolution,[],[f19556,f3911]) ).
fof(f19573,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aa_TPT60673477d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab(sK12(aTP_Lamm_a,aTP_Lamm_ad)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))))))
| ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(resolution,[],[f19572,f2599]) ).
fof(f19619,plain,
( $false
| ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(forward_subsumption_resolution,[],[f19573,f12010]) ).
fof(f19620,plain,
( ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(avatar_contradiction_clause,[],[f19619]) ).
fof(f19748,plain,
( ~ pp(aa_fun171081125l_bool(scratc1814651817all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cz,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ad))))))
| spl25_698 ),
inference(resolution,[],[f14432,f3731]) ).
fof(f19793,plain,
( $false
| spl25_698 ),
inference(forward_subsumption_resolution,[],[f19748,f9053]) ).
fof(f19794,plain,
spl25_698,
inference(avatar_contradiction_clause,[],[f19793]) ).
cnf(s380,plain,
( ~ spl25_603
| spl25_604 ),
inference(sat_conversion,[],[f10978]) ).
cnf(s381,plain,
( ~ spl25_605
| spl25_606 ),
inference(sat_conversion,[],[f11022]) ).
cnf(s382,plain,
( ~ spl25_607
| spl25_608 ),
inference(sat_conversion,[],[f11073]) ).
cnf(s425,plain,
spl25_603,
inference(sat_conversion,[],[f13239]) ).
cnf(s427,plain,
spl25_605,
inference(sat_conversion,[],[f13294]) ).
cnf(s428,plain,
spl25_607,
inference(sat_conversion,[],[f13366]) ).
cnf(s447,plain,
( ~ spl25_606
| ~ spl25_698
| ~ spl25_699 ),
inference(sat_conversion,[],[f14436]) ).
cnf(s512,plain,
( ~ spl25_787
| ~ spl25_788 ),
inference(sat_conversion,[],[f17475]) ).
cnf(s521,plain,
spl25_787,
inference(sat_conversion,[],[f17634]) ).
cnf(s523,plain,
( spl25_788
| ~ spl25_803
| spl25_804 ),
inference(sat_conversion,[],[f17717]) ).
cnf(s527,plain,
spl25_803,
inference(sat_conversion,[],[f17872]) ).
cnf(s571,plain,
( ~ spl25_604
| ~ spl25_608
| spl25_699
| ~ spl25_804 ),
inference(sat_conversion,[],[f19620]) ).
cnf(s577,plain,
spl25_698,
inference(sat_conversion,[],[f19794]) ).
cnf(s584,plain,
( spl25_788
| spl25_804 ),
inference(rat,[],[s523,s527]) ).
cnf(s586,plain,
~ spl25_788,
inference(rat,[],[s512,s521]) ).
cnf(s587,plain,
spl25_804,
inference(rat,[],[s584,s586]) ).
cnf(s595,plain,
( ~ spl25_606
| ~ spl25_699 ),
inference(rat,[],[s447,s577]) ).
cnf(s602,plain,
spl25_608,
inference(rat,[],[s382,s428]) ).
cnf(s603,plain,
spl25_606,
inference(rat,[],[s381,s427]) ).
cnf(s606,plain,
~ spl25_699,
inference(rat,[],[s595,s603]) ).
cnf(s608,plain,
~ spl25_604,
inference(rat,[],[s571,s587,s602,s606]) ).
cnf(s609,plain,
$false,
inference(rat,[],[s380,s608,s425]) ).
fof(f19795,plain,
$false,
inference(avatar_sat_refutation,[],[s609]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM739+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n017.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 21:09:35 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.41/2.54 % (2939458)Detected formulas, will run a generic FOF schedule.
% 11.41/2.54 % (2939469)dis-21_1_sil=8000:lcm=predicate:random_seed=1387702759:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.41/2.54 % (2939469)Instruction limit reached!
% 11.41/2.54 % (2939469)------------------------------
% 11.41/2.54 % (2939469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.54 % (2939469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.54 % (2939469)CaDiCaL version: 2.1.3
% 11.41/2.54 % (2939469)Termination reason: Instruction limit
% 11.41/2.54 % (2939469)Termination phase: Saturation
% 11.41/2.54 % (2939469)Time elapsed: 0.036 s
% 11.41/2.54 % (2939469)Peak memory usage: 90 MB
% 11.41/2.54 % (2939469)Instructions burned: 131 (million)
% 11.41/2.54 % (2939467)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3960216311:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.41/2.54 % (2939463)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=744908732:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.41/2.54 % (2939468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1806549403:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.41/2.54 % (2939465)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=2152243840:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.41/2.54 % (2939464)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=575107417:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.41/2.54 % (2939466)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=772664380:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.41/2.54 % (2939466)Refutation not found, incomplete strategy
% 11.41/2.54 % (2939466)------------------------------
% 11.41/2.54 % (2939466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.54 % (2939466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.54 % (2939466)CaDiCaL version: 2.1.3
% 11.41/2.54 % (2939466)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.54 % (2939466)Time elapsed: 0.003 s
% 11.41/2.54 % (2939466)Peak memory usage: 88 MB
% 11.41/2.54 % (2939466)Instructions burned: 4 (million)
% 11.41/2.54 % (2939467)Refutation not found, incomplete strategy
% 11.41/2.54 % (2939467)------------------------------
% 11.41/2.54 % (2939467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.54 % (2939467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.54 % (2939467)CaDiCaL version: 2.1.3
% 11.41/2.54 % (2939467)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.54 % (2939467)Time elapsed: 0.005 s
% 11.41/2.54 % (2939467)Peak memory usage: 88 MB
% 11.41/2.54 % (2939467)Instructions burned: 5 (million)
% 11.41/2.54 % (2939468)Instruction limit reached!
% 11.41/2.54 % (2939468)------------------------------
% 11.41/2.54 % (2939468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.54 % (2939468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.54 % (2939468)CaDiCaL version: 2.1.3
% 11.41/2.54 % (2939468)Termination reason: Instruction limit
% 11.41/2.54 % (2939468)Termination phase: Saturation
% 11.41/2.54 % (2939468)Time elapsed: 0.074 s
% 11.41/2.54 % (2939468)Peak memory usage: 90 MB
% 11.41/2.54 % (2939468)Instructions burned: 139 (million)
% 11.41/2.54 % (2939471)lrs+10_1_sil=8000:sp=occurrence:random_seed=2511949780:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.41/2.54 % (2939471)Refutation not found, incomplete strategy
% 11.41/2.54 % (2939471)------------------------------
% 11.41/2.54 % (2939471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.54 % (2939471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.54 % (2939471)CaDiCaL version: 2.1.3
% 11.41/2.54 % (2939471)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.54 % (2939471)Time elapsed: 0.002 s
% 11.41/2.54 % (2939471)Peak memory usage: 89 MB
% 11.41/2.54 % (2939471)Instructions burned: 4 (million)
% 11.41/2.54 % (2939478)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3437524407:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 17.59/3.43 % (2939478)Refutation not found, incomplete strategy
% 17.59/3.43 % (2939478)------------------------------
% 17.59/3.43 % (2939478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.43 % (2939478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.43 % (2939478)CaDiCaL version: 2.1.3
% 17.59/3.43 % (2939478)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.43 % (2939478)Time elapsed: 0.008 s
% 17.59/3.43 % (2939478)Peak memory usage: 89 MB
% 17.59/3.43 % (2939478)Instructions burned: 14 (million)
% 17.59/3.43 % (2939466)------------------------------
% 17.59/3.43 % (2939466)------------------------------
% 17.59/3.43 % (2939467)------------------------------
% 17.59/3.43 % (2939467)------------------------------
% 17.59/3.43 % (2939471)------------------------------
% 17.59/3.43 % (2939471)------------------------------
% 17.59/3.43 % (2939483)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1136664119:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 17.59/3.43 % (2939481)lrs+1011_1_sil=32000:sp=occurrence:random_seed=317810489:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 17.59/3.43 % (2939482)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=2380073888:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 17.59/3.43 % (2939483)Refutation not found, incomplete strategy
% 17.59/3.43 % (2939483)------------------------------
% 17.59/3.43 % (2939483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.43 % (2939483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.43 % (2939483)CaDiCaL version: 2.1.3
% 17.59/3.43 % (2939483)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.43 % (2939483)Time elapsed: 0.004 s
% 17.59/3.43 % (2939483)Peak memory usage: 89 MB
% 17.59/3.43 % (2939483)Instructions burned: 9 (million)
% 17.59/3.43 % (2939481)Refutation not found, incomplete strategy
% 17.59/3.43 % (2939481)------------------------------
% 17.59/3.43 % (2939481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.43 % (2939481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.43 % (2939481)CaDiCaL version: 2.1.3
% 17.59/3.43 % (2939481)Termination reason: Refutation not found, incomplete strategy
% 17.59/3.43 % (2939481)Time elapsed: 0.006 s
% 17.59/3.43 % (2939481)Peak memory usage: 89 MB
% 17.59/3.43 % (2939481)Instructions burned: 6 (million)
% 17.59/3.43 % (2939478)------------------------------
% 17.59/3.43 % (2939478)------------------------------
% 17.59/3.43 % (2939482)Instruction limit reached!
% 17.59/3.43 % (2939482)------------------------------
% 17.59/3.43 % (2939482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.43 % (2939482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.43 % (2939482)CaDiCaL version: 2.1.3
% 17.59/3.43 % (2939482)Termination reason: Instruction limit
% 17.59/3.43 % (2939482)Termination phase: Saturation
% 17.59/3.43 % (2939482)Time elapsed: 0.143 s
% 17.59/3.43 % (2939482)Peak memory usage: 93 MB
% 17.59/3.43 % (2939482)Instructions burned: 249 (million)
% 17.59/3.43 % (2939483)------------------------------
% 17.59/3.43 % (2939483)------------------------------
% 17.59/3.43 % (2939481)------------------------------
% 17.59/3.43 % (2939481)------------------------------
% 17.59/3.43 % (2939487)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4205490505:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 17.59/3.43 % (2939488)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2951400636:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 17.59/3.43 % (2939488)Instruction limit reached!
% 17.59/3.43 % (2939488)------------------------------
% 17.59/3.43 % (2939488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.59/3.43 % (2939488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.59/3.43 % (2939488)CaDiCaL version: 2.1.3
% 17.59/3.43 % (2939488)Termination reason: Instruction limit
% 17.59/3.43 % (2939488)Termination phase: Saturation
% 17.59/3.43 % (2939488)Time elapsed: 0.032 s
% 17.59/3.43 % (2939488)Peak memory usage: 90 MB
% 17.59/3.43 % (2939488)Instructions burned: 114 (million)
% 17.59/3.43 % (2939489)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=416577151:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 31.79/5.47 % (2939489)Instruction limit reached!
% 31.79/5.47 % (2939489)------------------------------
% 31.79/5.47 % (2939489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939489)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939489)Termination reason: Instruction limit
% 31.79/5.47 % (2939489)Termination phase: Saturation
% 31.79/5.47 % (2939489)Time elapsed: 0.058 s
% 31.79/5.47 % (2939489)Peak memory usage: 90 MB
% 31.79/5.47 % (2939489)Instructions burned: 129 (million)
% 31.79/5.47 % (2939491)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=992313088:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 31.79/5.47 % (2939493)lrs+10_1_sil=8000:sp=occurrence:random_seed=2011084806:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 31.79/5.47 % (2939491)Instruction limit reached!
% 31.79/5.47 % (2939491)------------------------------
% 31.79/5.47 % (2939491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939491)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939491)Termination reason: Instruction limit
% 31.79/5.47 % (2939491)Termination phase: Saturation
% 31.79/5.47 % (2939491)Time elapsed: 0.060 s
% 31.79/5.47 % (2939491)Peak memory usage: 90 MB
% 31.79/5.47 % (2939491)Instructions burned: 114 (million)
% 31.79/5.47 % (2939495)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3368352232:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 31.79/5.47 % (2939495)Refutation not found, incomplete strategy
% 31.79/5.47 % (2939495)------------------------------
% 31.79/5.47 % (2939495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939495)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939495)Termination reason: Refutation not found, incomplete strategy
% 31.79/5.47 % (2939495)Time elapsed: 0.065 s
% 31.79/5.47 % (2939495)Peak memory usage: 92 MB
% 31.79/5.47 % (2939495)Instructions burned: 128 (million)
% 31.79/5.47 % (2939498)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2766359652:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 31.79/5.47 % (2939493)Instruction limit reached!
% 31.79/5.47 % (2939493)------------------------------
% 31.79/5.47 % (2939493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939493)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939493)Termination reason: Instruction limit
% 31.79/5.47 % (2939493)Termination phase: Saturation
% 31.79/5.47 % (2939493)Time elapsed: 0.318 s
% 31.79/5.47 % (2939493)Peak memory usage: 101 MB
% 31.79/5.47 % (2939493)Instructions burned: 911 (million)
% 31.79/5.47 % (2939495)------------------------------
% 31.79/5.47 % (2939495)------------------------------
% 31.79/5.47 % (2939501)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=612074701:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 31.79/5.47 % (2939501)Instruction limit reached!
% 31.79/5.47 % (2939501)------------------------------
% 31.79/5.47 % (2939501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939501)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939501)Termination reason: Instruction limit
% 31.79/5.47 % (2939501)Termination phase: Saturation
% 31.79/5.47 % (2939501)Time elapsed: 0.038 s
% 31.79/5.47 % (2939501)Peak memory usage: 92 MB
% 31.79/5.47 % (2939501)Instructions burned: 135 (million)
% 31.79/5.47 % (2939502)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2056222839:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 31.79/5.47 % (2939502)Refutation not found, incomplete strategy
% 31.79/5.47 % (2939502)------------------------------
% 31.79/5.47 % (2939502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.79/5.47 % (2939502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.79/5.47 % (2939502)CaDiCaL version: 2.1.3
% 31.79/5.47 % (2939502)Termination reason: Refutation not found, incomplete strategy
% 51.85/8.27 % (2939502)Time elapsed: 0.018 s
% 51.85/8.27 % (2939502)Peak memory usage: 89 MB
% 51.85/8.27 % (2939502)Instructions burned: 33 (million)
% 51.85/8.27 % (2939504)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=705273323:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 51.85/8.27 % (2939502)------------------------------
% 51.85/8.27 % (2939502)------------------------------
% 51.85/8.27 % (2939507)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=3525876186:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 51.85/8.27 % (2939507)Instruction limit reached!
% 51.85/8.27 % (2939507)------------------------------
% 51.85/8.27 % (2939507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.85/8.27 % (2939507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.85/8.27 % (2939507)CaDiCaL version: 2.1.3
% 51.85/8.27 % (2939507)Termination reason: Instruction limit
% 51.85/8.27 % (2939507)Termination phase: Saturation
% 51.85/8.27 % (2939507)Time elapsed: 0.068 s
% 51.85/8.27 % (2939507)Peak memory usage: 92 MB
% 51.85/8.27 % (2939507)Instructions burned: 127 (million)
% 51.85/8.27 % (2939504)Refutation not found, incomplete strategy
% 51.85/8.27 % (2939504)------------------------------
% 51.85/8.27 % (2939504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.85/8.27 % (2939504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.85/8.27 % (2939504)CaDiCaL version: 2.1.3
% 51.85/8.27 % (2939504)Termination reason: Refutation not found, incomplete strategy
% 51.85/8.27 % (2939504)Time elapsed: 0.565 s
% 51.85/8.27 % (2939504)Peak memory usage: 134 MB
% 51.85/8.27 % (2939504)Instructions burned: 1476 (million)
% 51.85/8.27 % (2939509)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1451080667:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 51.85/8.27 % (2939509)Instruction limit reached!
% 51.85/8.27 % (2939509)------------------------------
% 51.85/8.27 % (2939509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.85/8.27 % (2939509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.85/8.27 % (2939509)CaDiCaL version: 2.1.3
% 51.85/8.27 % (2939509)Termination reason: Instruction limit
% 51.85/8.27 % (2939509)Termination phase: Saturation
% 51.85/8.27 % (2939509)Time elapsed: 0.063 s
% 51.85/8.27 % (2939509)Peak memory usage: 92 MB
% 51.85/8.27 % (2939509)Instructions burned: 136 (million)
% 51.85/8.27 % (2939487)Instruction limit reached!
% 51.85/8.27 % (2939487)------------------------------
% 51.85/8.27 % (2939487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.85/8.27 % (2939487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.85/8.27 % (2939487)CaDiCaL version: 2.1.3
% 51.85/8.27 % (2939487)Termination reason: Instruction limit
% 51.85/8.27 % (2939487)Termination phase: Saturation
% 51.85/8.27 % (2939487)Time elapsed: 1.499 s
% 51.85/8.27 % (2939487)Peak memory usage: 151 MB
% 51.85/8.27 % (2939487)Instructions burned: 2350 (million)
% 51.85/8.27 % (2939504)------------------------------
% 51.85/8.27 % (2939504)------------------------------
% 51.85/8.27 % (2939513)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=3735128562:i=6060:aac=none:ins=25_2976 on theBenchmark for (2976ds/6060Mi)
% 51.85/8.28 % (2939511)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2763735243:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 51.85/8.28 % (2939511)Refutation not found, incomplete strategy
% 51.85/8.28 % (2939511)------------------------------
% 51.85/8.28 % (2939511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.85/8.28 % (2939511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.85/8.28 % (2939511)CaDiCaL version: 2.1.3
% 51.85/8.28 % (2939511)Termination reason: Refutation not found, incomplete strategy
% 51.85/8.28 % (2939511)Time elapsed: 0.003 s
% 51.85/8.28 % (2939511)Peak memory usage: 89 MB
% 51.85/8.28 % (2939511)Instructions burned: 4 (million)
% 51.85/8.28 % (2939512)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=706639818:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 51.85/8.28 % (2939512)Refutation not found, incomplete strategy
% 74.03/11.38 % (2939512)------------------------------
% 74.03/11.38 % (2939512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.03/11.38 % (2939512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.03/11.38 % (2939512)CaDiCaL version: 2.1.3
% 74.03/11.38 % (2939512)Termination reason: Refutation not found, incomplete strategy
% 74.03/11.38 % (2939512)Time elapsed: 0.006 s
% 74.03/11.38 % (2939512)Peak memory usage: 89 MB
% 74.03/11.38 % (2939512)Instructions burned: 7 (million)
% 74.03/11.38 % (2939511)------------------------------
% 74.03/11.38 % (2939511)------------------------------
% 74.03/11.38 % (2939512)------------------------------
% 74.03/11.38 % (2939512)------------------------------
% 74.03/11.38 % (2939517)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=2588935813:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 74.03/11.38 % (2939518)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=482644291:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 74.03/11.38 % (2939517)Instruction limit reached!
% 74.03/11.38 % (2939517)------------------------------
% 74.03/11.38 % (2939517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.03/11.38 % (2939517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.03/11.38 % (2939517)CaDiCaL version: 2.1.3
% 74.03/11.38 % (2939517)Termination reason: Instruction limit
% 74.03/11.38 % (2939517)Termination phase: Saturation
% 74.03/11.38 % (2939517)Time elapsed: 0.073 s
% 74.03/11.38 % (2939517)Peak memory usage: 91 MB
% 74.03/11.38 % (2939517)Instructions burned: 150 (million)
% 74.03/11.38 % (2939521)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2480414106:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 74.03/11.38 % (2939521)Instruction limit reached!
% 74.03/11.38 % (2939521)------------------------------
% 74.03/11.38 % (2939521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.03/11.38 % (2939521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.03/11.38 % (2939521)CaDiCaL version: 2.1.3
% 74.03/11.38 % (2939521)Termination reason: Instruction limit
% 74.03/11.38 % (2939521)Termination phase: Saturation
% 74.03/11.38 % (2939521)Time elapsed: 0.318 s
% 74.03/11.38 % (2939521)Peak memory usage: 99 MB
% 74.03/11.38 % (2939521)Instructions burned: 669 (million)
% 74.03/11.38 % (2939523)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=1743207479:s2a=on:i=185:s2at=1.8:fdi=4_2965 on theBenchmark for (2965ds/185Mi)
% 74.03/11.38 % (2939523)Instruction limit reached!
% 74.03/11.38 % (2939523)------------------------------
% 74.03/11.38 % (2939523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.03/11.38 % (2939523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.03/11.38 % (2939523)CaDiCaL version: 2.1.3
% 74.03/11.38 % (2939523)Termination reason: Instruction limit
% 74.03/11.38 % (2939523)Termination phase: Saturation
% 74.03/11.38 % (2939523)Time elapsed: 0.078 s
% 74.03/11.38 % (2939523)Peak memory usage: 91 MB
% 74.03/11.38 % (2939523)Instructions burned: 187 (million)
% 74.03/11.38 % (2939525)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=718218879:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2962 on theBenchmark for (2962ds/193Mi)
% 74.03/11.38 % (2939525)Refutation not found, incomplete strategy
% 74.03/11.38 % (2939525)------------------------------
% 74.03/11.38 % (2939525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.03/11.38 % (2939525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.03/11.38 % (2939525)CaDiCaL version: 2.1.3
% 74.03/11.38 % (2939525)Termination reason: Refutation not found, incomplete strategy
% 74.03/11.38 % (2939525)Time elapsed: 0.007 s
% 74.03/11.38 % (2939525)Peak memory usage: 89 MB
% 74.03/11.38 % (2939525)Instructions burned: 9 (million)
% 74.03/11.38 % (2939525)------------------------------
% 74.03/11.38 % (2939525)------------------------------
% 74.03/11.38 % (2939527)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2138543822:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2958 on theBenchmark for (2958ds/4850Mi)
% 74.03/11.38 % (2939498)Instruction limit reached!
% 74.03/11.38 % (2939498)------------------------------
% 68.78/12.20 % (2939498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939498)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939498)Termination reason: Instruction limit
% 68.78/12.20 % (2939498)Termination phase: Saturation
% 68.78/12.20 % (2939498)Time elapsed: 3.343 s
% 68.78/12.20 % (2939498)Peak memory usage: 162 MB
% 68.78/12.20 % (2939498)Instructions burned: 5202 (million)
% 68.78/12.20 % (2939529)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=654737629:i=12111:sd=1:ss=included_2953 on theBenchmark for (2953ds/12111Mi)
% 68.78/12.20 % (2939513)Instruction limit reached!
% 68.78/12.20 % (2939513)------------------------------
% 68.78/12.20 % (2939513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939513)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939513)Termination reason: Instruction limit
% 68.78/12.20 % (2939513)Termination phase: Saturation
% 68.78/12.20 % (2939513)Time elapsed: 3.820 s
% 68.78/12.20 % (2939513)Peak memory usage: 170 MB
% 68.78/12.20 % (2939513)Instructions burned: 6061 (million)
% 68.78/12.20 % (2939531)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3945838396:i=319:kws=precedence:fsr=off_2936 on theBenchmark for (2936ds/319Mi)
% 68.78/12.20 % (2939531)Instruction limit reached!
% 68.78/12.20 % (2939531)------------------------------
% 68.78/12.20 % (2939531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939531)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939531)Termination reason: Instruction limit
% 68.78/12.20 % (2939531)Termination phase: Saturation
% 68.78/12.20 % (2939531)Time elapsed: 0.165 s
% 68.78/12.20 % (2939531)Peak memory usage: 93 MB
% 68.78/12.20 % (2939531)Instructions burned: 321 (million)
% 68.78/12.20 % (2939533)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=356257397:i=2064:ep=RST_2933 on theBenchmark for (2933ds/2064Mi)
% 68.78/12.20 % (2939533)Refutation not found, incomplete strategy
% 68.78/12.20 % (2939533)------------------------------
% 68.78/12.20 % (2939533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939533)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939533)Termination reason: Refutation not found, incomplete strategy
% 68.78/12.20 % (2939533)Time elapsed: 0.051 s
% 68.78/12.20 % (2939533)Peak memory usage: 91 MB
% 68.78/12.20 % (2939533)Instructions burned: 112 (million)
% 68.78/12.20 % (2939518)Instruction limit reached!
% 68.78/12.20 % (2939518)------------------------------
% 68.78/12.20 % (2939518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939518)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939518)Termination reason: Instruction limit
% 68.78/12.20 % (2939518)Termination phase: Saturation
% 68.78/12.20 % (2939518)Time elapsed: 4.114 s
% 68.78/12.20 % (2939518)Peak memory usage: 253 MB
% 68.78/12.20 % (2939518)Instructions burned: 14156 (million)
% 68.78/12.20 % (2939533)------------------------------
% 68.78/12.20 % (2939533)------------------------------
% 68.78/12.20 % (2939535)dis-1011_128_sil=32000:random_seed=1327172301:i=3706:ep=RST:av=off_2929 on theBenchmark for (2929ds/3706Mi)
% 68.78/12.20 % (2939536)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=3559717298:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2928 on theBenchmark for (2928ds/757Mi)
% 68.78/12.20 % (2939536)Refutation not found, incomplete strategy
% 68.78/12.20 % (2939536)------------------------------
% 68.78/12.20 % (2939536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939536)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939536)Termination reason: Refutation not found, incomplete strategy
% 68.78/12.20 % (2939536)Time elapsed: 0.009 s
% 68.78/12.20 % (2939536)Peak memory usage: 89 MB
% 68.78/12.20 % (2939536)Instructions burned: 14 (million)
% 68.78/12.20 % (2939527)Instruction limit reached!
% 68.78/12.20 % (2939527)------------------------------
% 68.78/12.20 % (2939527)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939527)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939527)Termination reason: Instruction limit
% 68.78/12.20 % (2939527)Termination phase: Saturation
% 68.78/12.20 % (2939527)Time elapsed: 3.115 s
% 68.78/12.20 % (2939527)Peak memory usage: 146 MB
% 68.78/12.20 % (2939527)Instructions burned: 4851 (million)
% 68.78/12.20 % (2939536)------------------------------
% 68.78/12.20 % (2939536)------------------------------
% 68.78/12.20 % (2939539)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=702926459:i=13913:ss=axioms:sgt=8_2925 on theBenchmark for (2925ds/13913Mi)
% 68.78/12.20 % (2939540)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2512384441:i=9925:aac=none_2924 on theBenchmark for (2924ds/9925Mi)
% 68.78/12.20 % (2939535)Instruction limit reached!
% 68.78/12.20 % (2939535)------------------------------
% 68.78/12.20 % (2939535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939535)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939535)Termination reason: Instruction limit
% 68.78/12.20 % (2939535)Termination phase: Saturation
% 68.78/12.20 % (2939535)Time elapsed: 1.164 s
% 68.78/12.20 % (2939535)Peak memory usage: 112 MB
% 68.78/12.20 % (2939535)Instructions burned: 3707 (million)
% 68.78/12.20 % (2939543)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=125096955:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2916 on theBenchmark for (2916ds/2479Mi)
% 68.78/12.20 % (2939543)Refutation not found, incomplete strategy
% 68.78/12.20 % (2939543)------------------------------
% 68.78/12.20 % (2939543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939543)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939543)Termination reason: Refutation not found, incomplete strategy
% 68.78/12.20 % (2939543)Time elapsed: 0.003 s
% 68.78/12.20 % (2939543)Peak memory usage: 89 MB
% 68.78/12.20 % (2939543)Instructions burned: 7 (million)
% 68.78/12.20 % (2939543)------------------------------
% 68.78/12.20 % (2939543)------------------------------
% 68.78/12.20 % (2939545)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2690798507:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2913 on theBenchmark for (2913ds/440Mi)
% 68.78/12.20 % (2939545)Instruction limit reached!
% 68.78/12.20 % (2939545)------------------------------
% 68.78/12.20 % (2939545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939545)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939545)Termination reason: Instruction limit
% 68.78/12.20 % (2939545)Termination phase: Saturation
% 68.78/12.20 % (2939545)Time elapsed: 0.088 s
% 68.78/12.20 % (2939545)Peak memory usage: 90 MB
% 68.78/12.20 % (2939545)Instructions burned: 445 (million)
% 68.78/12.20 % (2939547)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=1945654825:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2911 on theBenchmark for (2911ds/11145Mi)
% 68.78/12.20 % (2939547)Refutation not found, incomplete strategy
% 68.78/12.20 % (2939547)------------------------------
% 68.78/12.20 % (2939547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939547)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939547)Termination reason: Refutation not found, incomplete strategy
% 68.78/12.20 % (2939547)Time elapsed: 0.336 s
% 68.78/12.20 % (2939547)Peak memory usage: 131 MB
% 68.78/12.20 % (2939547)Instructions burned: 926 (million)
% 68.78/12.20 % (2939547)------------------------------
% 68.78/12.20 % (2939547)------------------------------
% 68.78/12.20 % (2939549)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=913956051:cts=off:i=3034:av=off:er=known:fsd=on_2905 on theBenchmark for (2905ds/3034Mi)
% 68.78/12.20 % (2939549)Instruction limit reached!
% 68.78/12.20 % (2939549)------------------------------
% 68.78/12.20 % (2939549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939549)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939549)Termination reason: Instruction limit
% 68.78/12.20 % (2939549)Termination phase: Saturation
% 68.78/12.20 % (2939549)Time elapsed: 0.917 s
% 68.78/12.20 % (2939549)Peak memory usage: 152 MB
% 68.78/12.20 % (2939549)Instructions burned: 3036 (million)
% 68.78/12.20 % (2939551)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1986476222:st=2:s2a=on:i=524:s2at=2:ss=axioms_2894 on theBenchmark for (2894ds/524Mi)
% 68.78/12.20 % (2939551)Instruction limit reached!
% 68.78/12.20 % (2939551)------------------------------
% 68.78/12.20 % (2939551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939551)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939551)Termination reason: Instruction limit
% 68.78/12.20 % (2939551)Termination phase: Saturation
% 68.78/12.20 % (2939551)Time elapsed: 0.149 s
% 68.78/12.20 % (2939551)Peak memory usage: 94 MB
% 68.78/12.20 % (2939551)Instructions burned: 527 (million)
% 68.78/12.20 % (2939553)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=1206453336:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2892 on theBenchmark for (2892ds/1016Mi)
% 68.78/12.20 % (2939553)Refutation not found, incomplete strategy
% 68.78/12.20 % (2939553)------------------------------
% 68.78/12.20 % (2939553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.78/12.20 % (2939553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.78/12.20 % (2939553)CaDiCaL version: 2.1.3
% 68.78/12.20 % (2939553)Termination reason: Refutation not found, incomplete strategy
% 68.78/12.20 % (2939553)Time elapsed: 0.002 s
% 68.78/12.20 % (2939553)Peak memory usage: 89 MB
% 68.78/12.20 % (2939553)Instructions burned: 4 (million)
% 68.78/12.20 % (2939540)First to succeed.
% 68.78/12.20 % (2939540)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2939458"
% 68.78/12.20 % (2939553)------------------------------
% 68.78/12.20 % (2939553)------------------------------
% 68.78/12.20 % (2939555)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=467128439:i=14123:bd=preordered:ins=4_2889 on theBenchmark for (2889ds/14123Mi)
% 68.78/12.20 % (2939540)Refutation found. Thanks to Tanya!
% 68.78/12.21 % SZS status Theorem for theBenchmark
% 68.78/12.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/12.40 % (2939540)------------------------------
% 0.16/12.40 % (2939540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/12.40 % (2939540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/12.40 % (2939540)CaDiCaL version: 2.1.3
% 0.16/12.40 % (2939540)Termination reason: Refutation
% 0.16/12.40 % (2939540)Time elapsed: 3.306 s
% 0.16/12.40 % (2939540)Peak memory usage: 178 MB
% 0.16/12.40 % (2939540)Instructions burned: 5859 (million)
% 0.16/12.40 % (2939540)------------------------------
% 0.16/12.40 % (2939540)------------------------------
% 0.16/12.40 % (2939458)Success in time 11.322 s
% 0.16/12.40 % Vampire exiting
%------------------------------------------------------------------------------