%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM664+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:16:19 PM UTC 2026
% Result : Theorem 27.94s 5.03s
% Output : Refutation 29.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 63
% Syntax : Number of formulae : 346 ( 63 unt; 38 def)
% Number of atoms : 845 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 879 ( 380 ~; 393 |; 38 &)
% ( 59 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 43 ( 41 usr; 39 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 18 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 180 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
<=> pp(aa_bool_bool(scratc281355199d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f53,axiom,
scratc412606536d_n_is = scratc893946175d_e_is(scratc1401906577nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc893946175d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f110,axiom,
! [X0] : scratc281355199d_l_or(X0) = aa_boo1142376798l_bool(scratc1361386236nd_imp,scratc308195903_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc308195903_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1361386236nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1361386236nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1213275121_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz16a) ).
fof(f153,axiom,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10h) ).
fof(f155,axiom,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10f) ).
fof(f292,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__39) ).
fof(f294,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__41) ).
fof(f298,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__45) ).
fof(f299,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__46) ).
fof(f326,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
=> pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__73) ).
fof(f334,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__81) ).
fof(f346,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__93) ).
fof(f347,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__94) ).
fof(f364,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__111) ).
fof(f366,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__113) ).
fof(f414,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f415,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f417,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f420,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f424,conjecture,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f425,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f424]) ).
fof(f426,plain,
~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f425]) ).
fof(f443,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1213275121_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f444,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1213275121_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f443]) ).
fof(f514,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f326]) ).
fof(f518,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
| ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))) ) ),
inference(ennf_transformation,[],[f334]) ).
fof(f524,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f364]) ).
fof(f525,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ) ),
inference(flattening,[],[f524]) ).
fof(f527,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f366]) ).
fof(f528,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) ),
inference(flattening,[],[f527]) ).
fof(f548,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f420]) ).
fof(f549,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f548]) ).
fof(f550,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc281355199d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc281355199d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f594,plain,
! [X0] :
( ( pp(scratc308195903_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1361386236nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1361386236nd_imp,X0),fFalse))
| ~ pp(scratc308195903_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f617,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1213275121_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1213275121_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f444]) ).
fof(f618,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1213275121_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1213275121_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1)) ) ),
inference(rectify,[],[f617]) ).
fof(f619,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1213275121_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1213275121_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f618]) ).
fof(f677,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ) ),
inference(nnf_transformation,[],[f292]) ).
fof(f679,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f683,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f298]) ).
fof(f684,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f299]) ).
fof(f723,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) )
& ( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(nnf_transformation,[],[f514]) ).
fof(f724,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) )
& ( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(flattening,[],[f723]) ).
fof(f734,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
& pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
| ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(nnf_transformation,[],[f518]) ).
fof(f735,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
& pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
| ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ) ),
inference(flattening,[],[f734]) ).
fof(f746,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f346]) ).
fof(f747,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f347]) ).
fof(f765,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f525]) ).
fof(f766,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ) ),
inference(flattening,[],[f765]) ).
fof(f769,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f528]) ).
fof(f770,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f769]) ).
fof(f844,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc281355199d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ),
inference(cnf_transformation,[],[f550]) ).
fof(f845,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc281355199d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f550]) ).
fof(f890,plain,
scratc412606536d_n_is = scratc893946175d_e_is(scratc1401906577nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f954,plain,
! [X0] : scratc893946175d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f968,plain,
! [X0] : aa_boo1142376798l_bool(scratc1361386236nd_imp,scratc308195903_d_not(X0)) = scratc281355199d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f974,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1361386236nd_imp,X0),fFalse))
| ~ pp(scratc308195903_d_not(X0)) ),
inference(cnf_transformation,[],[f594]) ).
fof(f975,plain,
! [X0] :
( pp(scratc308195903_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1361386236nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f594]) ).
fof(f976,plain,
scratc1361386236nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f1038,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1213275121_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1)) ),
inference(cnf_transformation,[],[f619]) ).
fof(f1039,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f619]) ).
fof(f1040,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| scratc1213275121_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f619]) ).
fof(f1041,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f619]) ).
fof(f1044,plain,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f149]) ).
fof(f1048,plain,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cc)),
inference(cnf_transformation,[],[f153]) ).
fof(f1050,plain,
pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cg)),
inference(cnf_transformation,[],[f155]) ).
fof(f1255,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cg,X0)) ),
inference(cnf_transformation,[],[f677]) ).
fof(f1259,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(cnf_transformation,[],[f679]) ).
fof(f1267,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f683]) ).
fof(f1270,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f684]) ).
fof(f1333,plain,
! [X0,X1] :
( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ),
inference(cnf_transformation,[],[f724]) ).
fof(f1352,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,X0),X1))
| ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,X0),X1)) ),
inference(cnf_transformation,[],[f735]) ).
fof(f1376,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f746]) ).
fof(f1379,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f747]) ).
fof(f1413,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(X0),X1),X2)) ),
inference(cnf_transformation,[],[f766]) ).
fof(f1421,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f770]) ).
fof(f1422,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X1),X2)) ),
inference(cnf_transformation,[],[f770]) ).
fof(f1423,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X2)) ),
inference(cnf_transformation,[],[f770]) ).
fof(f1527,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f414]) ).
fof(f1528,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f415]) ).
fof(f1530,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f417]) ).
fof(f1533,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f549]) ).
fof(f1537,plain,
~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f426]) ).
fof(f1540,plain,
! [X0] : scratc281355199d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(X0)),
inference(definition_unfolding,[],[f968,f976]) ).
fof(f1543,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1))) ),
inference(definition_unfolding,[],[f845,f1540]) ).
fof(f1544,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,X0),X1)) ),
inference(definition_unfolding,[],[f844,f1540]) ).
fof(f1562,plain,
scratc412606536d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f890,f954]) ).
fof(f1589,plain,
! [X0] :
( pp(scratc308195903_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f975,f976]) ).
fof(f1590,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc308195903_d_not(X0)) ),
inference(definition_unfolding,[],[f974,f976]) ).
fof(f1693,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1695,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1696,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1537,f1693]) ).
fof(f1697,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f1695,f1039]) ).
fof(f1698,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1695,f1040]) ).
fof(f1699,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f1695,f1041]) ).
fof(f1712,definition,
( spl29_2
<=> scratc1213275121_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1714,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1712]) ).
fof(f1715,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1698,f1693,f1712]) ).
fof(f1717,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f1714,f1038]) ).
fof(f1718,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f1717,f1697]) ).
fof(f1720,definition,
( spl29_3
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f1721,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1722,plain,
( spl29_3
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1718,f1712,f1693,f1720]) ).
fof(f1981,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(resolution,[],[f1721,f1267]) ).
fof(f1985,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cc))
| pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(resolution,[],[f1721,f1259]) ).
fof(f1987,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aTP_Lamm_cg))
| pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(resolution,[],[f1721,f1255]) ).
fof(f2074,plain,
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f1987,f1050]) ).
fof(f2076,plain,
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f1985,f1048]) ).
fof(f2080,plain,
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_3 ),
inference(forward_subsumption_resolution,[],[f1981,f1044]) ).
fof(f2144,definition,
( spl29_4
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2146,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_4 ),
inference(avatar_component_clause,[],[f2144]) ).
fof(f2147,plain,
( ~ spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f1699,f1693,f2144]) ).
fof(f2148,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_4 ),
inference(resolution,[],[f2146,f1270]) ).
fof(f2192,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f2194,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2192]) ).
fof(f2195,plain,
( ~ spl29_6
| spl29_4 ),
inference(avatar_split_clause,[],[f2148,f2144,f2192]) ).
fof(f2197,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(resolution,[],[f2194,f1039]) ).
fof(f2198,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f2194,f1040]) ).
fof(f2199,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_6 ),
inference(resolution,[],[f2194,f1041]) ).
fof(f2212,definition,
( spl29_7
<=> scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f2214,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f2212]) ).
fof(f2215,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2198,f2192,f2212]) ).
fof(f2217,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f2219,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f2217]) ).
fof(f2220,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2199,f2192,f2217]) ).
fof(f2221,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(resolution,[],[f2219,f1379]) ).
fof(f2267,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f2269,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2270,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2221,f2217,f2267]) ).
fof(f2272,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f2269,f1039]) ).
fof(f2273,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f2269,f1040]) ).
fof(f2274,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_9 ),
inference(resolution,[],[f2269,f1041]) ).
fof(f2287,definition,
( spl29_10
<=> scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f2289,plain,
( scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f2290,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2273,f2267,f2287]) ).
fof(f2295,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f2214,f1038]) ).
fof(f2296,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f2295,f2197]) ).
fof(f2298,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f2299,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f2298]) ).
fof(f2300,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f2296,f2212,f2192,f2298]) ).
fof(f2723,definition,
( spl29_12
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f2725,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f2723]) ).
fof(f2726,plain,
( spl29_12
| spl29_6 ),
inference(avatar_split_clause,[],[f2197,f2192,f2723]) ).
fof(f2911,definition,
( spl29_15
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f2913,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f2911]) ).
fof(f2914,plain,
( spl29_15
| spl29_9 ),
inference(avatar_split_clause,[],[f2272,f2267,f2911]) ).
fof(f2916,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f2918,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f2919,plain,
( ~ spl29_16
| spl29_9 ),
inference(avatar_split_clause,[],[f2274,f2267,f2916]) ).
fof(f2920,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16 ),
inference(resolution,[],[f2918,f1421]) ).
fof(f2921,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(resolution,[],[f2918,f1422]) ).
fof(f2922,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(resolution,[],[f2918,f1423]) ).
fof(f2968,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f2970,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_17 ),
inference(avatar_component_clause,[],[f2968]) ).
fof(f2971,plain,
( ~ spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f2922,f2916,f2968]) ).
fof(f2984,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| spl29_17 ),
inference(resolution,[],[f2970,f1413]) ).
fof(f3110,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f3112,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f3110]) ).
fof(f3113,plain,
( spl29_21
| spl29_16 ),
inference(avatar_split_clause,[],[f2920,f2916,f3110]) ).
fof(f3117,plain,
( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_21 ),
inference(resolution,[],[f3112,f1333]) ).
fof(f3175,definition,
( spl29_23
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_23])],[avatar_definition]) ).
fof(f3177,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_23 ),
inference(avatar_component_clause,[],[f3175]) ).
fof(f3179,definition,
( spl29_24
<=> pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f3181,plain,
( pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_24 ),
inference(avatar_component_clause,[],[f3179]) ).
fof(f3182,plain,
( ~ spl29_23
| spl29_24
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f3117,f3110,f3179,f3175]) ).
fof(f3191,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_11
| spl29_23 ),
inference(resolution,[],[f3177,f2299]) ).
fof(f3230,plain,
( $false
| ~ spl29_3
| ~ spl29_11
| spl29_23 ),
inference(forward_subsumption_resolution,[],[f3191,f2076]) ).
fof(f3231,plain,
( ~ spl29_3
| ~ spl29_11
| spl29_23 ),
inference(avatar_contradiction_clause,[],[f3230]) ).
fof(f3235,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| ~ spl29_24 ),
inference(resolution,[],[f3181,f1590]) ).
fof(f3246,definition,
( spl29_25
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_25])],[avatar_definition]) ).
fof(f3248,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| ~ spl29_25 ),
inference(avatar_component_clause,[],[f3246]) ).
fof(f3249,plain,
( spl29_25
| ~ spl29_24 ),
inference(avatar_split_clause,[],[f3235,f3179,f3246]) ).
fof(f3251,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(fFalse)
| ~ spl29_25 ),
inference(resolution,[],[f3248,f1528]) ).
fof(f3262,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_25 ),
inference(forward_subsumption_resolution,[],[f3251,f1527]) ).
fof(f3333,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_15 ),
inference(resolution,[],[f2913,f1533]) ).
fof(f3348,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_15 ),
inference(forward_demodulation,[],[f3333,f1562]) ).
fof(f3386,definition,
( spl29_26
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_26])],[avatar_definition]) ).
fof(f3388,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_26 ),
inference(avatar_component_clause,[],[f3386]) ).
fof(f3389,plain,
( spl29_26
| spl29_16 ),
inference(avatar_split_clause,[],[f2921,f2916,f3386]) ).
fof(f3396,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_26 ),
inference(resolution,[],[f3388,f1544]) ).
fof(f3430,definition,
( spl29_27
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_27])],[avatar_definition]) ).
fof(f3432,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_27 ),
inference(avatar_component_clause,[],[f3430]) ).
fof(f3433,plain,
( spl29_27
| ~ spl29_26 ),
inference(avatar_split_clause,[],[f3396,f3386,f3430]) ).
fof(f3435,plain,
( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_27 ),
inference(resolution,[],[f3432,f1528]) ).
fof(f4152,definition,
( spl29_36
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_36])],[avatar_definition]) ).
fof(f4154,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc138477231moreis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_36 ),
inference(avatar_component_clause,[],[f4152]) ).
fof(f4155,plain,
( ~ spl29_36
| ~ spl29_25 ),
inference(avatar_split_clause,[],[f3262,f3246,f4152]) ).
fof(f4510,plain,
( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_36 ),
inference(resolution,[],[f4154,f1352]) ).
fof(f5282,definition,
( spl29_77
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_77])],[avatar_definition]) ).
fof(f5284,plain,
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_77 ),
inference(avatar_component_clause,[],[f5282]) ).
fof(f5285,plain,
( spl29_77
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f2074,f1720,f5282]) ).
fof(f5563,definition,
( spl29_96
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_96])],[avatar_definition]) ).
fof(f5565,plain,
( pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_96 ),
inference(avatar_component_clause,[],[f5563]) ).
fof(f5566,plain,
( spl29_96
| ~ spl29_3 ),
inference(avatar_split_clause,[],[f2080,f1720,f5563]) ).
fof(f5595,definition,
( spl29_98
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_98])],[avatar_definition]) ).
fof(f5597,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_98 ),
inference(avatar_component_clause,[],[f5595]) ).
fof(f5599,definition,
( spl29_99
<=> pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))) ),
introduced(definition,[new_symbols(definition,[spl29_99])],[avatar_definition]) ).
fof(f5601,plain,
( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| spl29_99 ),
inference(avatar_component_clause,[],[f5599]) ).
fof(f5602,plain,
( spl29_98
| ~ spl29_99
| ~ spl29_27 ),
inference(avatar_split_clause,[],[f3435,f3430,f5599,f5595]) ).
fof(f5606,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse))
| spl29_99 ),
inference(resolution,[],[f5601,f1589]) ).
fof(f5619,definition,
( spl29_100
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_100])],[avatar_definition]) ).
fof(f5621,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),fFalse))
| spl29_100 ),
inference(avatar_component_clause,[],[f5619]) ).
fof(f5622,plain,
( ~ spl29_100
| spl29_99 ),
inference(avatar_split_clause,[],[f5606,f5599,f5619]) ).
fof(f5624,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_100 ),
inference(resolution,[],[f5621,f1530]) ).
fof(f5998,definition,
( spl29_111
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_111])],[avatar_definition]) ).
fof(f5999,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_111 ),
inference(avatar_component_clause,[],[f5998]) ).
fof(f6000,plain,
( spl29_111
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f3348,f2911,f5998]) ).
fof(f7813,definition,
( spl29_192
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_192])],[avatar_definition]) ).
fof(f7815,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_192 ),
inference(avatar_component_clause,[],[f7813]) ).
fof(f7817,definition,
( spl29_193
<=> pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_193])],[avatar_definition]) ).
fof(f7819,plain,
( ~ pp(scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_193 ),
inference(avatar_component_clause,[],[f7817]) ).
fof(f7820,plain,
( ~ spl29_192
| ~ spl29_193
| spl29_36 ),
inference(avatar_split_clause,[],[f4510,f4152,f7817,f7813]) ).
fof(f8818,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cf,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_11
| spl29_192 ),
inference(resolution,[],[f7815,f2299]) ).
fof(f8858,plain,
( $false
| ~ spl29_11
| ~ spl29_77
| spl29_192 ),
inference(forward_subsumption_resolution,[],[f8818,f5284]) ).
fof(f8859,plain,
( ~ spl29_11
| ~ spl29_77
| spl29_192 ),
inference(avatar_contradiction_clause,[],[f8858]) ).
fof(f8872,plain,
( ! [X0] : pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),X0))
| spl29_193 ),
inference(resolution,[],[f7819,f1530]) ).
fof(f14106,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_98
| ~ spl29_111 ),
inference(resolution,[],[f5597,f5999]) ).
fof(f14143,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_12
| ~ spl29_98
| ~ spl29_111 ),
inference(forward_subsumption_resolution,[],[f14106,f2725]) ).
fof(f14145,definition,
( spl29_329
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_329])],[avatar_definition]) ).
fof(f14146,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ spl29_329 ),
inference(avatar_component_clause,[],[f14145]) ).
fof(f14189,definition,
( spl29_333
<=> sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_333])],[avatar_definition]) ).
fof(f14191,plain,
( sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_333 ),
inference(avatar_component_clause,[],[f14189]) ).
fof(f14192,plain,
( spl29_333
| ~ spl29_12
| ~ spl29_98
| ~ spl29_111 ),
inference(avatar_split_clause,[],[f14143,f5998,f5595,f2723,f14189]) ).
fof(f15192,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_17
| ~ spl29_333 ),
inference(superposition,[],[f2970,f14191]) ).
fof(f15331,plain,
( $false
| spl29_17
| ~ spl29_21
| ~ spl29_333 ),
inference(forward_subsumption_resolution,[],[f15192,f3112]) ).
fof(f15332,plain,
( spl29_17
| ~ spl29_21
| ~ spl29_333 ),
inference(avatar_contradiction_clause,[],[f15331]) ).
fof(f15989,plain,
( spl29_329
| spl29_100 ),
inference(avatar_split_clause,[],[f5624,f5619,f14145]) ).
fof(f20876,definition,
( spl29_489
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_489])],[avatar_definition]) ).
fof(f20877,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| spl29_489 ),
inference(avatar_component_clause,[],[f20876]) ).
fof(f20878,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),fFalse))
| ~ spl29_489 ),
inference(avatar_component_clause,[],[f20876]) ).
fof(f21023,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_489 ),
inference(resolution,[],[f20877,f1530]) ).
fof(f21617,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| pp(fFalse)
| ~ spl29_489 ),
inference(resolution,[],[f20878,f1528]) ).
fof(f21629,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_489 ),
inference(forward_subsumption_resolution,[],[f21617,f1527]) ).
fof(f21631,definition,
( spl29_498
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_498])],[avatar_definition]) ).
fof(f21633,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_498 ),
inference(avatar_component_clause,[],[f21631]) ).
fof(f21634,plain,
( ~ spl29_498
| ~ spl29_489 ),
inference(avatar_split_clause,[],[f21629,f20876,f21631]) ).
fof(f21674,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc308195903_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc412606536d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_498 ),
inference(resolution,[],[f21633,f1543]) ).
fof(f21721,plain,
( $false
| spl29_193
| spl29_498 ),
inference(forward_subsumption_resolution,[],[f21674,f8872]) ).
fof(f21722,plain,
( spl29_193
| spl29_498 ),
inference(avatar_contradiction_clause,[],[f21721]) ).
fof(f23937,definition,
( spl29_557
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_557])],[avatar_definition]) ).
fof(f23938,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) )
| ~ spl29_557 ),
inference(avatar_component_clause,[],[f23937]) ).
fof(f23939,plain,
( spl29_557
| spl29_17 ),
inference(avatar_split_clause,[],[f2984,f2968,f23937]) ).
fof(f27658,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))) )
| ~ spl29_557 ),
inference(resolution,[],[f23938,f1038]) ).
fof(f27695,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))) )
| ~ spl29_15
| ~ spl29_557 ),
inference(forward_subsumption_resolution,[],[f27658,f2913]) ).
fof(f27698,definition,
( spl29_652
<=> ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))) ) ),
introduced(definition,[new_symbols(definition,[spl29_652])],[avatar_definition]) ).
fof(f27699,plain,
( ! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1361123833nd_iii,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))
| ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X1)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),X0))) )
| ~ spl29_652 ),
inference(avatar_component_clause,[],[f27698]) ).
fof(f27700,plain,
( spl29_652
| ~ spl29_15
| ~ spl29_557 ),
inference(avatar_split_clause,[],[f27695,f23937,f2911,f27698]) ).
fof(f27702,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc4493619lessis,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_329
| ~ spl29_652 ),
inference(resolution,[],[f27699,f14146]) ).
fof(f27762,plain,
( ! [X0] :
( ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_329
| spl29_489
| ~ spl29_652 ),
inference(forward_subsumption_resolution,[],[f27702,f21023]) ).
fof(f27764,definition,
( spl29_653
<=> ! [X0] :
( ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ) ),
introduced(definition,[new_symbols(definition,[spl29_653])],[avatar_definition]) ).
fof(f27765,plain,
( ! [X0] :
( ~ scratc1213275121_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),X0)
| ~ pp(aa_fun171081125l_bool(scratc109158696all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) )
| ~ spl29_653 ),
inference(avatar_component_clause,[],[f27764]) ).
fof(f27766,plain,
( spl29_653
| ~ spl29_329
| spl29_489
| ~ spl29_652 ),
inference(avatar_split_clause,[],[f27762,f27698,f20876,f14145,f27764]) ).
fof(f27768,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_10
| ~ spl29_653 ),
inference(resolution,[],[f27765,f2289]) ).
fof(f27773,definition,
( spl29_654
<=> pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_654])],[avatar_definition]) ).
fof(f27775,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_br(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_654 ),
inference(avatar_component_clause,[],[f27773]) ).
fof(f27776,plain,
( ~ spl29_654
| ~ spl29_10
| ~ spl29_653 ),
inference(avatar_split_clause,[],[f27768,f27764,f2287,f27773]) ).
fof(f27777,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_654 ),
inference(resolution,[],[f27775,f1376]) ).
fof(f27794,definition,
( spl29_655
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_655])],[avatar_definition]) ).
fof(f27796,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_655 ),
inference(avatar_component_clause,[],[f27794]) ).
fof(f27797,plain,
( ~ spl29_655
| spl29_654 ),
inference(avatar_split_clause,[],[f27777,f27773,f27794]) ).
fof(f27806,plain,
( ~ pp(aa_fun171081125l_bool(scratc109158696all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_11
| spl29_655 ),
inference(resolution,[],[f27796,f2299]) ).
fof(f27846,plain,
( $false
| ~ spl29_11
| ~ spl29_96
| spl29_655 ),
inference(forward_subsumption_resolution,[],[f27806,f5565]) ).
fof(f27847,plain,
( ~ spl29_11
| ~ spl29_96
| spl29_655 ),
inference(avatar_contradiction_clause,[],[f27846]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1696]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1715]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_2
| spl29_3 ),
inference(sat_conversion,[],[f1722]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_4 ),
inference(sat_conversion,[],[f2147]) ).
cnf(s6,plain,
( spl29_4
| ~ spl29_6 ),
inference(sat_conversion,[],[f2195]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2215]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2220]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2270]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2290]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f2300]) ).
cnf(s12,plain,
( spl29_6
| spl29_12 ),
inference(sat_conversion,[],[f2726]) ).
cnf(s15,plain,
( spl29_9
| spl29_15 ),
inference(sat_conversion,[],[f2914]) ).
cnf(s16,plain,
( spl29_9
| ~ spl29_16 ),
inference(sat_conversion,[],[f2919]) ).
cnf(s17,plain,
( spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f2971]) ).
cnf(s21,plain,
( spl29_16
| spl29_21 ),
inference(sat_conversion,[],[f3113]) ).
cnf(s23,plain,
( ~ spl29_21
| ~ spl29_23
| spl29_24 ),
inference(sat_conversion,[],[f3182]) ).
cnf(s24,plain,
( ~ spl29_3
| ~ spl29_11
| spl29_23 ),
inference(sat_conversion,[],[f3231]) ).
cnf(s25,plain,
( ~ spl29_24
| spl29_25 ),
inference(sat_conversion,[],[f3249]) ).
cnf(s26,plain,
( spl29_16
| spl29_26 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s27,plain,
( ~ spl29_26
| spl29_27 ),
inference(sat_conversion,[],[f3433]) ).
cnf(s36,plain,
( ~ spl29_25
| ~ spl29_36 ),
inference(sat_conversion,[],[f4155]) ).
cnf(s77,plain,
( ~ spl29_3
| spl29_77 ),
inference(sat_conversion,[],[f5285]) ).
cnf(s95,plain,
( ~ spl29_3
| spl29_96 ),
inference(sat_conversion,[],[f5566]) ).
cnf(s97,plain,
( ~ spl29_27
| spl29_98
| ~ spl29_99 ),
inference(sat_conversion,[],[f5602]) ).
cnf(s98,plain,
( spl29_99
| ~ spl29_100 ),
inference(sat_conversion,[],[f5622]) ).
cnf(s109,plain,
( ~ spl29_15
| spl29_111 ),
inference(sat_conversion,[],[f6000]) ).
cnf(s192,plain,
( spl29_36
| ~ spl29_192
| ~ spl29_193 ),
inference(sat_conversion,[],[f7820]) ).
cnf(s210,plain,
( ~ spl29_11
| ~ spl29_77
| spl29_192 ),
inference(sat_conversion,[],[f8859]) ).
cnf(s333,plain,
( ~ spl29_12
| ~ spl29_98
| ~ spl29_111
| spl29_333 ),
inference(sat_conversion,[],[f14192]) ).
cnf(s363,plain,
( spl29_17
| ~ spl29_21
| ~ spl29_333 ),
inference(sat_conversion,[],[f15332]) ).
cnf(s386,plain,
( spl29_100
| spl29_329 ),
inference(sat_conversion,[],[f15989]) ).
cnf(s550,plain,
( ~ spl29_489
| ~ spl29_498 ),
inference(sat_conversion,[],[f21634]) ).
cnf(s551,plain,
( spl29_193
| spl29_498 ),
inference(sat_conversion,[],[f21722]) ).
cnf(s609,plain,
( spl29_17
| spl29_557 ),
inference(sat_conversion,[],[f23939]) ).
cnf(s712,plain,
( ~ spl29_15
| ~ spl29_557
| spl29_652 ),
inference(sat_conversion,[],[f27700]) ).
cnf(s713,plain,
( ~ spl29_329
| spl29_489
| ~ spl29_652
| spl29_653 ),
inference(sat_conversion,[],[f27766]) ).
cnf(s714,plain,
( ~ spl29_10
| ~ spl29_653
| ~ spl29_654 ),
inference(sat_conversion,[],[f27776]) ).
cnf(s715,plain,
( spl29_654
| ~ spl29_655 ),
inference(sat_conversion,[],[f27797]) ).
cnf(s716,plain,
( ~ spl29_11
| ~ spl29_96
| spl29_655 ),
inference(sat_conversion,[],[f27847]) ).
cnf(s721,plain,
~ spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s722,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s738,plain,
~ spl29_6,
inference(rat,[],[s6,s721]) ).
cnf(s739,plain,
spl29_3,
inference(rat,[],[s3,s1,s722]) ).
cnf(s748,plain,
spl29_12,
inference(rat,[],[s12,s738]) ).
cnf(s749,plain,
~ spl29_8,
inference(rat,[],[s8,s738]) ).
cnf(s750,plain,
spl29_7,
inference(rat,[],[s7,s738]) ).
cnf(s757,plain,
spl29_96,
inference(rat,[],[s95,s739]) ).
cnf(s771,plain,
spl29_77,
inference(rat,[],[s77,s739]) ).
cnf(s801,plain,
~ spl29_9,
inference(rat,[],[s9,s749]) ).
cnf(s802,plain,
spl29_11,
inference(rat,[],[s11,s738,s750]) ).
cnf(s875,plain,
~ spl29_16,
inference(rat,[],[s16,s801]) ).
cnf(s876,plain,
spl29_15,
inference(rat,[],[s15,s801]) ).
cnf(s877,plain,
spl29_10,
inference(rat,[],[s10,s801]) ).
cnf(s878,plain,
spl29_655,
inference(rat,[],[s716,s757,s802]) ).
cnf(s883,plain,
spl29_192,
inference(rat,[],[s210,s771,s802]) ).
cnf(s920,plain,
spl29_23,
inference(rat,[],[s24,s739,s802]) ).
cnf(s953,plain,
spl29_26,
inference(rat,[],[s26,s875]) ).
cnf(s954,plain,
spl29_21,
inference(rat,[],[s21,s875]) ).
cnf(s955,plain,
~ spl29_17,
inference(rat,[],[s17,s875]) ).
cnf(s956,plain,
spl29_111,
inference(rat,[],[s109,s876]) ).
cnf(s959,plain,
spl29_654,
inference(rat,[],[s715,s878]) ).
cnf(s1026,plain,
spl29_27,
inference(rat,[],[s27,s953]) ).
cnf(s1031,plain,
spl29_24,
inference(rat,[],[s23,s920,s954]) ).
cnf(s1033,plain,
spl29_557,
inference(rat,[],[s609,s955]) ).
cnf(s1036,plain,
~ spl29_333,
inference(rat,[],[s363,s954,s955]) ).
cnf(s1041,plain,
~ spl29_98,
inference(rat,[],[s333,s1036,s748,s956]) ).
cnf(s1088,plain,
~ spl29_653,
inference(rat,[],[s714,s877,s959]) ).
cnf(s1128,plain,
spl29_25,
inference(rat,[],[s25,s1031]) ).
cnf(s1131,plain,
spl29_652,
inference(rat,[],[s712,s876,s1033]) ).
cnf(s1138,plain,
~ spl29_99,
inference(rat,[],[s97,s1026,s1041]) ).
cnf(s1181,plain,
~ spl29_36,
inference(rat,[],[s36,s1128]) ).
cnf(s1196,plain,
~ spl29_100,
inference(rat,[],[s98,s1138]) ).
cnf(s1207,plain,
~ spl29_193,
inference(rat,[],[s192,s883,s1181]) ).
cnf(s1218,plain,
spl29_329,
inference(rat,[],[s386,s1196]) ).
cnf(s1228,plain,
spl29_498,
inference(rat,[],[s551,s1207]) ).
cnf(s1234,plain,
spl29_489,
inference(rat,[],[s713,s1088,s1131,s1218]) ).
cnf(s1244,plain,
$false,
inference(rat,[],[s550,s1228,s1234]) ).
fof(f27851,plain,
$false,
inference(avatar_sat_refutation,[],[s1244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM664+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:00:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.11/3.18 % (3308829)Detected formulas, will run a generic FOF schedule.
% 16.11/3.18 % (3308928)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=3613752965:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.11/3.18 % (3308926)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=275817561:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.11/3.18 % (3308929)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2088036066:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.11/3.18 % (3308930)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1125478461:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.11/3.18 % (3308927)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=4069924999:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.11/3.18 % (3308931)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1935880237:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.11/3.18 % (3308932)dis-21_1_sil=8000:lcm=predicate:random_seed=1818041093: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)
% 16.11/3.18 % (3308929)Refutation not found, incomplete strategy
% 16.11/3.18 % (3308929)------------------------------
% 16.11/3.18 % (3308929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.18 % (3308929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.18 % (3308929)CaDiCaL version: 2.1.3
% 16.11/3.18 % (3308929)Termination reason: Refutation not found, incomplete strategy
% 16.11/3.18 % (3308929)Time elapsed: 0.002 s
% 16.11/3.18 % (3308929)Peak memory usage: 87 MB
% 16.11/3.18 % (3308929)Instructions burned: 2 (million)
% 16.11/3.18 % (3308930)Refutation not found, incomplete strategy
% 16.11/3.18 % (3308930)------------------------------
% 16.11/3.18 % (3308930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.18 % (3308930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.18 % (3308930)CaDiCaL version: 2.1.3
% 16.11/3.18 % (3308930)Termination reason: Refutation not found, incomplete strategy
% 16.11/3.18 % (3308930)Time elapsed: 0.002 s
% 16.11/3.18 % (3308930)Peak memory usage: 88 MB
% 16.11/3.18 % (3308930)Instructions burned: 2 (million)
% 16.11/3.18 % (3308932)Instruction limit reached!
% 16.11/3.18 % (3308932)------------------------------
% 16.11/3.18 % (3308932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.18 % (3308932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.18 % (3308932)CaDiCaL version: 2.1.3
% 16.11/3.18 % (3308932)Termination reason: Instruction limit
% 16.11/3.18 % (3308932)Termination phase: Saturation
% 16.11/3.18 % (3308932)Time elapsed: 0.084 s
% 16.11/3.18 % (3308932)Peak memory usage: 90 MB
% 16.11/3.18 % (3308932)Instructions burned: 129 (million)
% 16.11/3.18 % (3308931)Instruction limit reached!
% 16.11/3.18 % (3308931)------------------------------
% 16.11/3.18 % (3308931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.18 % (3308931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.18 % (3308931)CaDiCaL version: 2.1.3
% 16.11/3.18 % (3308931)Termination reason: Instruction limit
% 16.11/3.18 % (3308931)Termination phase: Saturation
% 16.11/3.18 % (3308931)Time elapsed: 0.086 s
% 16.11/3.18 % (3308931)Peak memory usage: 90 MB
% 16.11/3.18 % (3308931)Instructions burned: 139 (million)
% 16.11/3.18 % (3308950)lrs+10_1_sil=8000:sp=occurrence:random_seed=3977852201:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.11/3.18 % (3308950)Refutation not found, incomplete strategy
% 16.11/3.18 % (3308950)------------------------------
% 16.11/3.18 % (3308950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.11/3.18 % (3308950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.11/3.18 % (3308950)CaDiCaL version: 2.1.3
% 16.11/3.18 % (3308950)Termination reason: Refutation not found, incomplete strategy
% 16.11/3.18 % (3308950)Time elapsed: 0.003 s
% 16.11/3.18 % (3308950)Peak memory usage: 88 MB
% 16.11/3.18 % (3308950)Instructions burned: 2 (million)
% 16.11/3.18 % (3308930)------------------------------
% 25.17/4.43 % (3308930)------------------------------
% 25.17/4.43 % (3308951)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3225980949:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 25.17/4.43 % (3308951)Refutation not found, incomplete strategy
% 25.17/4.43 % (3308951)------------------------------
% 25.17/4.43 % (3308951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.43 % (3308951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.43 % (3308951)CaDiCaL version: 2.1.3
% 25.17/4.43 % (3308951)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.43 % (3308951)Time elapsed: 0.005 s
% 25.17/4.43 % (3308951)Peak memory usage: 88 MB
% 25.17/4.43 % (3308951)Instructions burned: 7 (million)
% 25.17/4.43 % (3308929)------------------------------
% 25.17/4.43 % (3308929)------------------------------
% 25.17/4.43 % (3309017)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2768583118:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 25.17/4.43 % (3309017)Refutation not found, incomplete strategy
% 25.17/4.43 % (3309017)------------------------------
% 25.17/4.43 % (3309017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.43 % (3309017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.43 % (3309017)CaDiCaL version: 2.1.3
% 25.17/4.43 % (3309017)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.43 % (3309017)Time elapsed: 0.007 s
% 25.17/4.43 % (3309017)Peak memory usage: 89 MB
% 25.17/4.43 % (3309017)Instructions burned: 4 (million)
% 25.17/4.43 % (3309029)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=2811492058:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 25.17/4.43 % (3308950)------------------------------
% 25.17/4.43 % (3308950)------------------------------
% 25.17/4.43 % (3308951)------------------------------
% 25.17/4.43 % (3308951)------------------------------
% 25.17/4.43 % (3309029)Instruction limit reached!
% 25.17/4.43 % (3309029)------------------------------
% 25.17/4.43 % (3309029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.43 % (3309029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.43 % (3309029)CaDiCaL version: 2.1.3
% 25.17/4.43 % (3309029)Termination reason: Instruction limit
% 25.17/4.43 % (3309029)Termination phase: Saturation
% 25.17/4.43 % (3309029)Time elapsed: 0.223 s
% 25.17/4.43 % (3309029)Peak memory usage: 94 MB
% 25.17/4.43 % (3309029)Instructions burned: 249 (million)
% 25.17/4.43 % (3309067)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2102905396:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 25.17/4.43 % (3309067)Refutation not found, incomplete strategy
% 25.17/4.43 % (3309067)------------------------------
% 25.17/4.43 % (3309067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.43 % (3309067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.43 % (3309067)CaDiCaL version: 2.1.3
% 25.17/4.43 % (3309067)Termination reason: Refutation not found, incomplete strategy
% 25.17/4.43 % (3309067)Time elapsed: 0.007 s
% 25.17/4.43 % (3309067)Peak memory usage: 88 MB
% 25.17/4.43 % (3309067)Instructions burned: 5 (million)
% 25.17/4.43 % (3309075)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4159567807:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 25.17/4.43 % (3309017)------------------------------
% 25.17/4.43 % (3309017)------------------------------
% 25.17/4.43 % (3309092)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1788155694:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 25.17/4.43 % (3309092)Instruction limit reached!
% 25.17/4.43 % (3309092)------------------------------
% 25.17/4.43 % (3309092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.17/4.43 % (3309092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.17/4.43 % (3309092)CaDiCaL version: 2.1.3
% 25.17/4.43 % (3309092)Termination reason: Instruction limit
% 25.17/4.43 % (3309092)Termination phase: Saturation
% 25.17/4.43 % (3309092)Time elapsed: 0.099 s
% 25.17/4.43 % (3309092)Peak memory usage: 90 MB
% 25.17/4.43 % (3309092)Instructions burned: 113 (million)
% 25.17/4.43 % (3309099)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2166765488:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 27.94/5.02 % (3309067)------------------------------
% 27.94/5.02 % (3309067)------------------------------
% 27.94/5.02 % (3309099)Instruction limit reached!
% 27.94/5.02 % (3309099)------------------------------
% 27.94/5.02 % (3309099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.02 % (3309099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.02 % (3309099)CaDiCaL version: 2.1.3
% 27.94/5.02 % (3309099)Termination reason: Instruction limit
% 27.94/5.02 % (3309099)Termination phase: Saturation
% 27.94/5.02 % (3309099)Time elapsed: 0.061 s
% 27.94/5.02 % (3309099)Peak memory usage: 89 MB
% 27.94/5.02 % (3309099)Instructions burned: 129 (million)
% 27.94/5.02 % (3309105)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2329546303:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 27.94/5.02 % (3309105)Instruction limit reached!
% 27.94/5.02 % (3309105)------------------------------
% 27.94/5.02 % (3309105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.02 % (3309105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309105)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309105)Termination reason: Instruction limit
% 27.94/5.03 % (3309105)Termination phase: Saturation
% 27.94/5.03 % (3309105)Time elapsed: 0.062 s
% 27.94/5.03 % (3309105)Peak memory usage: 89 MB
% 27.94/5.03 % (3309105)Instructions burned: 114 (million)
% 27.94/5.03 % (3309114)lrs+10_1_sil=8000:sp=occurrence:random_seed=459872389:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 27.94/5.03 % (3309115)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4270008269:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 27.94/5.03 % (3309115)Refutation not found, incomplete strategy
% 27.94/5.03 % (3309115)------------------------------
% 27.94/5.03 % (3309115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309115)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309115)Termination reason: Refutation not found, incomplete strategy
% 27.94/5.03 % (3309115)Time elapsed: 0.030 s
% 27.94/5.03 % (3309115)Peak memory usage: 90 MB
% 27.94/5.03 % (3309115)Instructions burned: 56 (million)
% 27.94/5.03 % (3309131)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1127679590:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 27.94/5.03 % (3309115)------------------------------
% 27.94/5.03 % (3309115)------------------------------
% 27.94/5.03 % (3309160)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3392636725:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 27.94/5.03 % (3309114)Instruction limit reached!
% 27.94/5.03 % (3309114)------------------------------
% 27.94/5.03 % (3309114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309114)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309114)Termination reason: Instruction limit
% 27.94/5.03 % (3309114)Termination phase: Saturation
% 27.94/5.03 % (3309114)Time elapsed: 0.517 s
% 27.94/5.03 % (3309114)Peak memory usage: 99 MB
% 27.94/5.03 % (3309114)Instructions burned: 907 (million)
% 27.94/5.03 % (3309160)Instruction limit reached!
% 27.94/5.03 % (3309160)------------------------------
% 27.94/5.03 % (3309160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309160)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309160)Termination reason: Instruction limit
% 27.94/5.03 % (3309160)Termination phase: Saturation
% 27.94/5.03 % (3309160)Time elapsed: 0.071 s
% 27.94/5.03 % (3309160)Peak memory usage: 92 MB
% 27.94/5.03 % (3309160)Instructions burned: 140 (million)
% 27.94/5.03 % (3309162)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4055741608:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 27.94/5.03 % (3309163)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=921381657:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 27.94/5.03 % (3309162)Refutation not found, incomplete strategy
% 27.94/5.03 % (3309162)------------------------------
% 27.94/5.03 % (3309162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309162)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309162)Termination reason: Refutation not found, incomplete strategy
% 27.94/5.03 % (3309162)Time elapsed: 0.016 s
% 27.94/5.03 % (3309162)Peak memory usage: 89 MB
% 27.94/5.03 % (3309162)Instructions burned: 31 (million)
% 27.94/5.03 % (3309162)------------------------------
% 27.94/5.03 % (3309162)------------------------------
% 27.94/5.03 % (3309166)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=3662983617:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 27.94/5.03 % (3309166)Refutation not found, incomplete strategy
% 27.94/5.03 % (3309166)------------------------------
% 27.94/5.03 % (3309166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309166)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309166)Termination reason: Refutation not found, incomplete strategy
% 27.94/5.03 % (3309166)Time elapsed: 0.006 s
% 27.94/5.03 % (3309166)Peak memory usage: 88 MB
% 27.94/5.03 % (3309166)Instructions burned: 9 (million)
% 27.94/5.03 % (3309075)Instruction limit reached!
% 27.94/5.03 % (3309075)------------------------------
% 27.94/5.03 % (3309075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309075)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309075)Termination reason: Instruction limit
% 27.94/5.03 % (3309075)Termination phase: Saturation
% 27.94/5.03 % (3309075)Time elapsed: 1.651 s
% 27.94/5.03 % (3309075)Peak memory usage: 142 MB
% 27.94/5.03 % (3309075)Instructions burned: 2351 (million)
% 27.94/5.03 % (3309166)------------------------------
% 27.94/5.03 % (3309166)------------------------------
% 27.94/5.03 % (3309168)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=547052227:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 27.94/5.03 % (3309168)Instruction limit reached!
% 27.94/5.03 % (3309168)------------------------------
% 27.94/5.03 % (3309168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309168)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309168)Termination reason: Instruction limit
% 27.94/5.03 % (3309168)Termination phase: Saturation
% 27.94/5.03 % (3309168)Time elapsed: 0.071 s
% 27.94/5.03 % (3309168)Peak memory usage: 92 MB
% 27.94/5.03 % (3309168)Instructions burned: 135 (million)
% 27.94/5.03 % (3309169)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3131792267:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/141Mi)
% 27.94/5.03 % (3309169)Refutation not found, incomplete strategy
% 27.94/5.03 % (3309169)------------------------------
% 27.94/5.03 % (3309169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309169)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309169)Termination reason: Refutation not found, incomplete strategy
% 27.94/5.03 % (3309169)Time elapsed: 0.002 s
% 27.94/5.03 % (3309169)Peak memory usage: 88 MB
% 27.94/5.03 % (3309169)Instructions burned: 2 (million)
% 27.94/5.03 % (3309171)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2539857075:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2969 on theBenchmark for (2969ds/431Mi)
% 27.94/5.03 % (3309171)Refutation not found, incomplete strategy
% 27.94/5.03 % (3309171)------------------------------
% 27.94/5.03 % (3309171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309171)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309171)Termination reason: Refutation not found, incomplete strategy
% 27.94/5.03 % (3309171)Time elapsed: 0.003 s
% 27.94/5.03 % (3309171)Peak memory usage: 88 MB
% 27.94/5.03 % (3309171)Instructions burned: 2 (million)
% 27.94/5.03 % (3309169)------------------------------
% 27.94/5.03 % (3309169)------------------------------
% 27.94/5.03 % (3309171)------------------------------
% 27.94/5.03 % (3309171)------------------------------
% 27.94/5.03 % (3309174)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=2878417091:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 27.94/5.03 % (3309175)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=2318169942:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2964 on theBenchmark for (2964ds/150Mi)
% 27.94/5.03 % (3309175)Instruction limit reached!
% 27.94/5.03 % (3309175)------------------------------
% 27.94/5.03 % (3309175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.94/5.03 % (3309175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.94/5.03 % (3309175)CaDiCaL version: 2.1.3
% 27.94/5.03 % (3309175)Termination reason: Instruction limit
% 27.94/5.03 % (3309175)Termination phase: Saturation
% 27.94/5.03 % (3309175)Time elapsed: 0.079 s
% 27.94/5.03 % (3309175)Peak memory usage: 91 MB
% 27.94/5.03 % (3309175)Instructions burned: 150 (million)
% 27.94/5.03 % (3309178)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3672219990:i=14155:bd=all_2962 on theBenchmark for (2962ds/14155Mi)
% 27.94/5.03 % (3308928)First to succeed.
% 27.94/5.03 % (3308928)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3308829"
% 27.94/5.03 % (3308928)Refutation found. Thanks to Tanya!
% 27.94/5.03 % SZS status Theorem for theBenchmark
% 27.94/5.03 % SZS output start Proof for theBenchmark
% See solution above
% 29.93/5.22 % (3308928)------------------------------
% 29.93/5.22 % (3308928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.93/5.22 % (3308928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.93/5.22 % (3308928)CaDiCaL version: 2.1.3
% 29.93/5.22 % (3308928)Termination reason: Refutation
% 29.93/5.22 % (3308928)Time elapsed: 3.821 s
% 29.93/5.22 % (3308928)Peak memory usage: 210 MB
% 29.93/5.22 % (3308928)Instructions burned: 9795 (million)
% 29.93/5.22 % (3308928)------------------------------
% 29.93/5.22 % (3308928)------------------------------
% 29.93/5.22 % (3308829)Success in time 4.167 s
% 29.93/5.22 % Vampire exiting
%------------------------------------------------------------------------------