%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM682+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 : n015.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 12:16:26 PM UTC 2026
% Result : Theorem 18.00s 3.83s
% Output : Refutation 21.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 37
% Syntax : Number of formulae : 206 ( 35 unt; 22 def)
% Number of atoms : 496 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 491 ( 201 ~; 219 |; 28 &)
% ( 38 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 27 ( 25 usr; 23 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 12 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 123 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f35,axiom,
! [X0] : scratc128415345d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc803513658_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f150,axiom,
pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_bw)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz20a) ).
fof(f186,axiom,
pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_fm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz11) ).
fof(f311,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_fm,X0))
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__34) ).
fof(f345,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bw,X0))
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__68) ).
fof(f347,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__70) ).
fof(f367,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__90) ).
fof(f415,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__138) ).
fof(f417,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f432,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__155) ).
fof(f435,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(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__158) ).
fof(f518,conjecture,
pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f519,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f518]) ).
fof(f520,plain,
~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f519]) ).
fof(f537,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc803513658_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f538,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc803513658_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f537]) ).
fof(f601,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1)) ) ),
inference(ennf_transformation,[],[f367]) ).
fof(f617,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) ),
inference(ennf_transformation,[],[f432]) ).
fof(f620,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(scratc371735024nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) ),
inference(ennf_transformation,[],[f435]) ).
fof(f674,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f675,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f738,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc803513658_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc803513658_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f538]) ).
fof(f739,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc803513658_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc803513658_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1)) ) ),
inference(rectify,[],[f738]) ).
fof(f740,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc803513658_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc803513658_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f739]) ).
fof(f793,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_fm,X0))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,X0))) )
& ( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_fm,X0)) ) ),
inference(nnf_transformation,[],[f311]) ).
fof(f827,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bw,X0))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,X0))) )
& ( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bw,X0)) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f829,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f347]) ).
fof(f854,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1)) ) ),
inference(nnf_transformation,[],[f601]) ).
fof(f855,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1)) ) ),
inference(flattening,[],[f854]) ).
fof(f912,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,X0),X1)) ) ),
inference(nnf_transformation,[],[f415]) ).
fof(f914,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc219769375all_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,[],[f417]) ).
fof(f929,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f617]) ).
fof(f930,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2)) ) ),
inference(flattening,[],[f929]) ).
fof(f935,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(scratc371735024nd_iii,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f620]) ).
fof(f936,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(scratc371735024nd_iii,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f935]) ).
fof(f1061,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f674]) ).
fof(f1064,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f675]) ).
fof(f1075,plain,
! [X0] : scratc128415345d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1249,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc803513658_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1)) ),
inference(cnf_transformation,[],[f740]) ).
fof(f1250,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f740]) ).
fof(f1251,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| scratc803513658_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f740]) ).
fof(f1252,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f740]) ).
fof(f1256,plain,
pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_bw)),
inference(cnf_transformation,[],[f150]) ).
fof(f1292,plain,
pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_fm)),
inference(cnf_transformation,[],[f186]) ).
fof(f1480,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_fm,X0)) ),
inference(cnf_transformation,[],[f793]) ).
fof(f1548,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bw,X0)) ),
inference(cnf_transformation,[],[f827]) ).
fof(f1553,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f829]) ).
fof(f1595,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,X0),X1)) ),
inference(cnf_transformation,[],[f855]) ).
fof(f1701,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,X0),X1)) ),
inference(cnf_transformation,[],[f912]) ).
fof(f1706,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f914]) ).
fof(f1735,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2)) ),
inference(cnf_transformation,[],[f930]) ).
fof(f1745,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(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc128415345d_n_pl(X1),X2))) ),
inference(cnf_transformation,[],[f936]) ).
fof(f1746,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(scratc371735024nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f936]) ).
fof(f1939,plain,
~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f520]) ).
fof(f2039,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X1)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1735,f1075,f1075]) ).
fof(f2044,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(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,X1)),X2))) ),
inference(definition_unfolding,[],[f1745,f1075,f1075]) ).
fof(f2133,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2135,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2136,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1939,f2133]) ).
fof(f2137,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f2135,f1250]) ).
fof(f2138,plain,
( scratc803513658_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2135,f1251]) ).
fof(f2139,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f2135,f1252]) ).
fof(f2152,definition,
( spl29_2
<=> scratc803513658_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2154,plain,
( scratc803513658_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f2155,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2138,f2133,f2152]) ).
fof(f2157,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2159,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2157]) ).
fof(f2160,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2139,f2133,f2157]) ).
fof(f2161,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_3 ),
inference(resolution,[],[f2159,f1553]) ).
fof(f2199,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2201,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2202,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2137,f2133,f2199]) ).
fof(f2204,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(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2154,f1249]) ).
fof(f2205,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2204,f2201]) ).
fof(f2207,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2208,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2209,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2205,f2199,f2152,f2207]) ).
fof(f2758,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc219769375all_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(f2760,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2758]) ).
fof(f2761,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2161,f2157,f2758]) ).
fof(f2763,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,[],[f2760,f1250]) ).
fof(f2764,plain,
( scratc803513658_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,[],[f2760,f1251]) ).
fof(f2765,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,[],[f2760,f1252]) ).
fof(f2778,definition,
( spl29_7
<=> scratc803513658_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(f2780,plain,
( scratc803513658_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,[],[f2778]) ).
fof(f2781,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2764,f2758,f2778]) ).
fof(f2783,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(f2785,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,[],[f2783]) ).
fof(f2786,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2765,f2758,f2783]) ).
fof(f2787,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_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,[],[f2785,f1706]) ).
fof(f2833,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc219769375all_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(f2835,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_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,[],[f2833]) ).
fof(f2836,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2787,f2783,f2833]) ).
fof(f2838,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,[],[f2835,f1250]) ).
fof(f2839,plain,
( scratc803513658_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,[],[f2835,f1251]) ).
fof(f2840,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,[],[f2835,f1252]) ).
fof(f2853,definition,
( spl29_10
<=> scratc803513658_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(f2855,plain,
( scratc803513658_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,[],[f2853]) ).
fof(f2856,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2839,f2833,f2853]) ).
fof(f2858,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(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)))))))
| ~ 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(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f2855,f1249]) ).
fof(f2859,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(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_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f2858,f2838]) ).
fof(f2861,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(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f2780,f1249]) ).
fof(f2862,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(scratc219769375all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f2861,f2763]) ).
fof(f2864,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(scratc219769375all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f2865,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(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f2864]) ).
fof(f2866,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f2862,f2778,f2758,f2864]) ).
fof(f3205,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_bw))
| pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(resolution,[],[f2865,f1548]) ).
fof(f3241,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aTP_Lamm_fm))
| pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(resolution,[],[f2865,f1480]) ).
fof(f3314,plain,
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f3241,f1292]) ).
fof(f3350,plain,
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f3205,f1256]) ).
fof(f3415,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(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_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3416,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(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_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3415]) ).
fof(f3417,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f2859,f2853,f2833,f3415]) ).
fof(f3611,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(f3613,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,[],[f3611]) ).
fof(f3614,plain,
( ~ spl29_16
| spl29_9 ),
inference(avatar_split_clause,[],[f2840,f2833,f3611]) ).
fof(f3615,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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,[],[f3613,f2044]) ).
fof(f3616,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_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,[],[f3613,f1746]) ).
fof(f3662,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_17])],[avatar_definition]) ).
fof(f3664,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_iii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_17 ),
inference(avatar_component_clause,[],[f3662]) ).
fof(f3665,plain,
( spl29_17
| spl29_16 ),
inference(avatar_split_clause,[],[f3615,f3611,f3662]) ).
fof(f3670,plain,
( pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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(resolution,[],[f3664,f1061]) ).
fof(f3730,definition,
( spl29_18
<=> pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_18])],[avatar_definition]) ).
fof(f3732,plain,
( pp(aa_fun171081125l_bool(scratc74254825n_some,aa_TPT43085870d_bool(scratc2029504193ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_18 ),
inference(avatar_component_clause,[],[f3730]) ).
fof(f3733,plain,
( spl29_18
| ~ spl29_17 ),
inference(avatar_split_clause,[],[f3670,f3662,f3730]) ).
fof(f3734,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_18 ),
inference(resolution,[],[f3732,f1064]) ).
fof(f3921,definition,
( spl29_25
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_25])],[avatar_definition]) ).
fof(f3923,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_TPTP_ind(aa_TPT1424761345TP_ind(scratc1644557000bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1963731251d_plus,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_25 ),
inference(avatar_component_clause,[],[f3921]) ).
fof(f3924,plain,
( spl29_25
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f3734,f3730,f3921]) ).
fof(f3926,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),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_25 ),
inference(resolution,[],[f3923,f2039]) ).
fof(f4702,definition,
( spl29_31
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),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_31])],[avatar_definition]) ).
fof(f4704,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),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_31 ),
inference(avatar_component_clause,[],[f4702]) ).
fof(f4706,definition,
( spl29_32
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_32])],[avatar_definition]) ).
fof(f4708,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1026019570_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_32 ),
inference(avatar_component_clause,[],[f4706]) ).
fof(f4709,plain,
( ~ spl29_31
| spl29_32
| ~ spl29_25 ),
inference(avatar_split_clause,[],[f3926,f3921,f4706,f4702]) ).
fof(f4718,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_12
| spl29_31 ),
inference(resolution,[],[f4704,f3416]) ).
fof(f4762,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc371735024nd_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_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_32 ),
inference(resolution,[],[f4708,f1595]) ).
fof(f4807,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_16
| ~ spl29_32 ),
inference(forward_subsumption_resolution,[],[f4762,f3616]) ).
fof(f4809,definition,
( spl29_34
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_34])],[avatar_definition]) ).
fof(f4811,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_34 ),
inference(avatar_component_clause,[],[f4809]) ).
fof(f4812,plain,
( ~ spl29_34
| spl29_16
| ~ spl29_32 ),
inference(avatar_split_clause,[],[f4807,f4706,f3611,f4809]) ).
fof(f4821,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_fl,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_5
| spl29_34 ),
inference(resolution,[],[f4811,f2208]) ).
fof(f4860,plain,
( $false
| ~ spl29_5
| ~ spl29_11
| spl29_34 ),
inference(forward_subsumption_resolution,[],[f4821,f3314]) ).
fof(f4861,plain,
( ~ spl29_5
| ~ spl29_11
| spl29_34 ),
inference(avatar_contradiction_clause,[],[f4860]) ).
fof(f5035,definition,
( spl29_36
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_36])],[avatar_definition]) ).
fof(f5037,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_36 ),
inference(avatar_component_clause,[],[f5035]) ).
fof(f5038,plain,
( ~ spl29_36
| ~ spl29_12
| spl29_31 ),
inference(avatar_split_clause,[],[f4718,f4702,f3415,f5035]) ).
fof(f5363,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_36 ),
inference(resolution,[],[f5037,f1701]) ).
fof(f6504,definition,
( spl29_101
<=> pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_101])],[avatar_definition]) ).
fof(f6506,plain,
( pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_101 ),
inference(avatar_component_clause,[],[f6504]) ).
fof(f6507,plain,
( spl29_101
| ~ spl29_11 ),
inference(avatar_split_clause,[],[f3350,f2864,f6504]) ).
fof(f8869,definition,
( spl29_198
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_198])],[avatar_definition]) ).
fof(f8871,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_198 ),
inference(avatar_component_clause,[],[f8869]) ).
fof(f8872,plain,
( ~ spl29_198
| spl29_36 ),
inference(avatar_split_clause,[],[f5363,f5035,f8869]) ).
fof(f9011,plain,
( ~ pp(aa_fun171081125l_bool(scratc219769375all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bv,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_5
| spl29_198 ),
inference(resolution,[],[f8871,f2208]) ).
fof(f9051,plain,
( $false
| ~ spl29_5
| ~ spl29_101
| spl29_198 ),
inference(forward_subsumption_resolution,[],[f9011,f6506]) ).
fof(f9052,plain,
( ~ spl29_5
| ~ spl29_101
| spl29_198 ),
inference(avatar_contradiction_clause,[],[f9051]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2136]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2155]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2160]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2202]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2781]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2786]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2836]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2856]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f2866]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f3417]) ).
cnf(s16,plain,
( spl29_9
| ~ spl29_16 ),
inference(sat_conversion,[],[f3614]) ).
cnf(s17,plain,
( spl29_16
| spl29_17 ),
inference(sat_conversion,[],[f3665]) ).
cnf(s18,plain,
( ~ spl29_17
| spl29_18 ),
inference(sat_conversion,[],[f3733]) ).
cnf(s24,plain,
( ~ spl29_18
| spl29_25 ),
inference(sat_conversion,[],[f3924]) ).
cnf(s29,plain,
( ~ spl29_25
| ~ spl29_31
| spl29_32 ),
inference(sat_conversion,[],[f4709]) ).
cnf(s31,plain,
( spl29_16
| ~ spl29_32
| ~ spl29_34 ),
inference(sat_conversion,[],[f4812]) ).
cnf(s32,plain,
( ~ spl29_5
| ~ spl29_11
| spl29_34 ),
inference(sat_conversion,[],[f4861]) ).
cnf(s34,plain,
( ~ spl29_12
| spl29_31
| ~ spl29_36 ),
inference(sat_conversion,[],[f5038]) ).
cnf(s102,plain,
( ~ spl29_11
| spl29_101 ),
inference(sat_conversion,[],[f6507]) ).
cnf(s205,plain,
( spl29_36
| ~ spl29_198 ),
inference(sat_conversion,[],[f8872]) ).
cnf(s215,plain,
( ~ spl29_5
| ~ spl29_101
| spl29_198 ),
inference(sat_conversion,[],[f9052]) ).
cnf(s216,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s217,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s218,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s225,plain,
~ spl29_6,
inference(rat,[],[s6,s217]) ).
cnf(s226,plain,
spl29_5,
inference(rat,[],[s5,s216,s218]) ).
cnf(s230,plain,
~ spl29_8,
inference(rat,[],[s8,s225]) ).
cnf(s231,plain,
spl29_7,
inference(rat,[],[s7,s225]) ).
cnf(s292,plain,
~ spl29_9,
inference(rat,[],[s9,s230]) ).
cnf(s293,plain,
spl29_11,
inference(rat,[],[s11,s225,s231]) ).
cnf(s295,plain,
~ spl29_16,
inference(rat,[],[s16,s292]) ).
cnf(s297,plain,
spl29_10,
inference(rat,[],[s10,s292]) ).
cnf(s324,plain,
spl29_101,
inference(rat,[],[s102,s293]) ).
cnf(s358,plain,
spl29_34,
inference(rat,[],[s32,s226,s293]) ).
cnf(s361,plain,
~ spl29_32,
inference(rat,[],[s31,s358,s295]) ).
cnf(s362,plain,
spl29_17,
inference(rat,[],[s17,s295]) ).
cnf(s365,plain,
spl29_12,
inference(rat,[],[s12,s292,s297]) ).
cnf(s367,plain,
spl29_198,
inference(rat,[],[s215,s226,s324]) ).
cnf(s380,plain,
spl29_18,
inference(rat,[],[s18,s362]) ).
cnf(s393,plain,
spl29_36,
inference(rat,[],[s205,s367]) ).
cnf(s397,plain,
spl29_25,
inference(rat,[],[s24,s380]) ).
cnf(s398,plain,
spl29_31,
inference(rat,[],[s34,s365,s393]) ).
cnf(s401,plain,
$false,
inference(rat,[],[s29,s361,s398,s397]) ).
fof(f9053,plain,
$false,
inference(avatar_sat_refutation,[],[s401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM682+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n015.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 21:07:01 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.20/2.59 % (2004784)Detected formulas, will run a generic FOF schedule.
% 11.20/2.59 % (2004805)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3041619612:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.20/2.59 % (2004805)Refutation not found, incomplete strategy
% 11.20/2.59 % (2004805)------------------------------
% 11.20/2.59 % (2004805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.59 % (2004805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.59 % (2004805)CaDiCaL version: 2.1.3
% 11.20/2.59 % (2004805)Termination reason: Refutation not found, incomplete strategy
% 11.20/2.59 % (2004805)Time elapsed: 0.001 s
% 11.20/2.59 % (2004805)Peak memory usage: 88 MB
% 11.20/2.59 % (2004805)Instructions burned: 2 (million)
% 11.20/2.59 % (2004802)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=540549018:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.20/2.59 % (2004808)dis-21_1_sil=8000:lcm=predicate:random_seed=2540892822:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.20/2.59 % (2004803)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=4041819548:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.20/2.59 % (2004804)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=1879447476:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.20/2.59 % (2004807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=304502170:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.20/2.59 % (2004806)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2822472050:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.20/2.59 % (2004806)Refutation not found, incomplete strategy
% 11.20/2.59 % (2004806)------------------------------
% 11.20/2.59 % (2004806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.59 % (2004806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.59 % (2004806)CaDiCaL version: 2.1.3
% 11.20/2.59 % (2004806)Termination reason: Refutation not found, incomplete strategy
% 11.20/2.59 % (2004806)Time elapsed: 0.004 s
% 11.20/2.59 % (2004806)Peak memory usage: 88 MB
% 11.20/2.59 % (2004806)Instructions burned: 3 (million)
% 11.20/2.59 % (2004808)Instruction limit reached!
% 11.20/2.59 % (2004808)------------------------------
% 11.20/2.59 % (2004808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.59 % (2004808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.59 % (2004808)CaDiCaL version: 2.1.3
% 11.20/2.59 % (2004808)Termination reason: Instruction limit
% 11.20/2.59 % (2004808)Termination phase: Saturation
% 11.20/2.59 % (2004808)Time elapsed: 0.076 s
% 11.20/2.59 % (2004808)Peak memory usage: 90 MB
% 11.20/2.59 % (2004808)Instructions burned: 130 (million)
% 11.20/2.59 % (2004807)Instruction limit reached!
% 11.20/2.59 % (2004807)------------------------------
% 11.20/2.59 % (2004807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.59 % (2004807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.59 % (2004807)CaDiCaL version: 2.1.3
% 11.20/2.59 % (2004807)Termination reason: Instruction limit
% 11.20/2.59 % (2004807)Termination phase: Saturation
% 11.20/2.59 % (2004807)Time elapsed: 0.129 s
% 11.20/2.59 % (2004807)Peak memory usage: 90 MB
% 11.20/2.59 % (2004807)Instructions burned: 139 (million)
% 11.20/2.59 % (2004805)------------------------------
% 11.20/2.59 % (2004805)------------------------------
% 11.20/2.59 % (2004824)lrs+10_1_sil=8000:sp=occurrence:random_seed=561580301:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.20/2.59 % (2004824)Refutation not found, incomplete strategy
% 11.20/2.59 % (2004824)------------------------------
% 11.20/2.59 % (2004824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.20/2.59 % (2004824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.20/2.59 % (2004824)CaDiCaL version: 2.1.3
% 11.20/2.59 % (2004824)Termination reason: Refutation not found, incomplete strategy
% 11.20/2.59 % (2004824)Time elapsed: 0.004 s
% 11.20/2.59 % (2004824)Peak memory usage: 88 MB
% 19.66/3.76 % (2004824)Instructions burned: 2 (million)
% 19.66/3.76 % (2004828)lrs+1011_1_sil=32000:sp=occurrence:random_seed=159131813:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 19.66/3.76 % (2004828)Refutation not found, incomplete strategy
% 19.66/3.76 % (2004828)------------------------------
% 19.66/3.76 % (2004828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.76 % (2004828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.76 % (2004828)CaDiCaL version: 2.1.3
% 19.66/3.76 % (2004828)Termination reason: Refutation not found, incomplete strategy
% 19.66/3.76 % (2004828)Time elapsed: 0.004 s
% 19.66/3.76 % (2004828)Peak memory usage: 89 MB
% 19.66/3.76 % (2004828)Instructions burned: 5 (million)
% 19.66/3.76 % (2004825)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3047009915:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 19.66/3.76 % (2004825)Refutation not found, incomplete strategy
% 19.66/3.76 % (2004825)------------------------------
% 19.66/3.76 % (2004825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.76 % (2004825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.76 % (2004825)CaDiCaL version: 2.1.3
% 19.66/3.76 % (2004825)Termination reason: Refutation not found, incomplete strategy
% 19.66/3.76 % (2004825)Time elapsed: 0.009 s
% 19.66/3.76 % (2004825)Peak memory usage: 88 MB
% 19.66/3.76 % (2004825)Instructions burned: 8 (million)
% 19.66/3.76 % (2004806)------------------------------
% 19.66/3.76 % (2004806)------------------------------
% 19.66/3.76 % (2004828)------------------------------
% 19.66/3.76 % (2004828)------------------------------
% 19.66/3.76 % (2004838)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=3549808658:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 19.66/3.76 % (2004824)------------------------------
% 19.66/3.76 % (2004824)------------------------------
% 19.66/3.76 % (2004825)------------------------------
% 19.66/3.76 % (2004825)------------------------------
% 19.66/3.76 % (2004840)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3977215018:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 19.66/3.76 % (2004840)Refutation not found, incomplete strategy
% 19.66/3.76 % (2004840)------------------------------
% 19.66/3.76 % (2004840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.76 % (2004840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.76 % (2004840)CaDiCaL version: 2.1.3
% 19.66/3.76 % (2004840)Termination reason: Refutation not found, incomplete strategy
% 19.66/3.76 % (2004840)Time elapsed: 0.005 s
% 19.66/3.76 % (2004840)Peak memory usage: 89 MB
% 19.66/3.76 % (2004840)Instructions burned: 6 (million)
% 19.66/3.76 % (2004838)Instruction limit reached!
% 19.66/3.76 % (2004838)------------------------------
% 19.66/3.76 % (2004838)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.76 % (2004838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.76 % (2004838)CaDiCaL version: 2.1.3
% 19.66/3.76 % (2004838)Termination reason: Instruction limit
% 19.66/3.76 % (2004838)Termination phase: Saturation
% 19.66/3.76 % (2004838)Time elapsed: 0.125 s
% 19.66/3.76 % (2004838)Peak memory usage: 95 MB
% 19.66/3.76 % (2004838)Instructions burned: 248 (million)
% 19.66/3.76 % (2004842)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1949137646:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 19.66/3.76 % (2004843)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2925358692:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 19.66/3.76 % (2004843)Instruction limit reached!
% 19.66/3.76 % (2004843)------------------------------
% 19.66/3.76 % (2004843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.66/3.76 % (2004843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.66/3.76 % (2004843)CaDiCaL version: 2.1.3
% 19.66/3.76 % (2004843)Termination reason: Instruction limit
% 19.66/3.76 % (2004843)Termination phase: Saturation
% 19.66/3.76 % (2004843)Time elapsed: 0.061 s
% 19.66/3.76 % (2004843)Peak memory usage: 90 MB
% 19.66/3.76 % (2004843)Instructions burned: 113 (million)
% 19.66/3.76 % (2004846)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1604247370:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 18.00/3.83 % (2004846)Instruction limit reached!
% 18.00/3.83 % (2004846)------------------------------
% 18.00/3.83 % (2004846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004846)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004846)Termination reason: Instruction limit
% 18.00/3.83 % (2004846)Termination phase: Saturation
% 18.00/3.83 % (2004846)Time elapsed: 0.061 s
% 18.00/3.83 % (2004846)Peak memory usage: 89 MB
% 18.00/3.83 % (2004846)Instructions burned: 128 (million)
% 18.00/3.83 % (2004840)------------------------------
% 18.00/3.83 % (2004840)------------------------------
% 18.00/3.83 % (2004849)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=80846810:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 18.00/3.83 % (2004849)Instruction limit reached!
% 18.00/3.83 % (2004849)------------------------------
% 18.00/3.83 % (2004849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004849)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004849)Termination reason: Instruction limit
% 18.00/3.83 % (2004849)Termination phase: Saturation
% 18.00/3.83 % (2004849)Time elapsed: 0.063 s
% 18.00/3.83 % (2004849)Peak memory usage: 89 MB
% 18.00/3.83 % (2004849)Instructions burned: 114 (million)
% 18.00/3.83 % (2004859)lrs+10_1_sil=8000:sp=occurrence:random_seed=1738441381:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 18.00/3.83 % (2004859)Refutation not found, incomplete strategy
% 18.00/3.83 % (2004859)------------------------------
% 18.00/3.83 % (2004859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004859)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004859)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2004859)Time elapsed: 0.003 s
% 18.00/3.83 % (2004859)Peak memory usage: 88 MB
% 18.00/3.83 % (2004859)Instructions burned: 2 (million)
% 18.00/3.83 % (2004871)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=923426910:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 18.00/3.83 % (2004871)Refutation not found, incomplete strategy
% 18.00/3.83 % (2004871)------------------------------
% 18.00/3.83 % (2004871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004871)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004871)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2004871)Time elapsed: 0.037 s
% 18.00/3.83 % (2004871)Peak memory usage: 90 MB
% 18.00/3.83 % (2004871)Instructions burned: 72 (million)
% 18.00/3.83 % (2004887)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1603872181:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 18.00/3.83 % (2004859)------------------------------
% 18.00/3.83 % (2004859)------------------------------
% 18.00/3.83 % (2004871)------------------------------
% 18.00/3.83 % (2004871)------------------------------
% 18.00/3.83 % (2004935)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2742608584:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 18.00/3.83 % (2004950)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1938334032:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 18.00/3.83 % (2004935)Instruction limit reached!
% 18.00/3.83 % (2004935)------------------------------
% 18.00/3.83 % (2004935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004935)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004935)Termination reason: Instruction limit
% 18.00/3.83 % (2004935)Termination phase: Saturation
% 18.00/3.83 % (2004935)Time elapsed: 0.070 s
% 18.00/3.83 % (2004935)Peak memory usage: 93 MB
% 18.00/3.83 % (2004935)Instructions burned: 136 (million)
% 18.00/3.83 % (2004950)Refutation not found, incomplete strategy
% 18.00/3.83 % (2004950)------------------------------
% 18.00/3.83 % (2004950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004950)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004950)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2004950)Time elapsed: 0.015 s
% 18.00/3.83 % (2004950)Peak memory usage: 89 MB
% 18.00/3.83 % (2004950)Instructions burned: 28 (million)
% 18.00/3.83 % (2004967)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1583111250:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 18.00/3.83 % (2004950)------------------------------
% 18.00/3.83 % (2004950)------------------------------
% 18.00/3.83 % (2004974)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=3543495368:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 18.00/3.83 % (2004974)Refutation not found, incomplete strategy
% 18.00/3.83 % (2004974)------------------------------
% 18.00/3.83 % (2004974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004974)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004974)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2004974)Time elapsed: 0.006 s
% 18.00/3.83 % (2004974)Peak memory usage: 88 MB
% 18.00/3.83 % (2004974)Instructions burned: 10 (million)
% 18.00/3.83 % (2004974)------------------------------
% 18.00/3.83 % (2004974)------------------------------
% 18.00/3.83 % (2004976)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=611280878:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 18.00/3.83 % (2004976)Instruction limit reached!
% 18.00/3.83 % (2004976)------------------------------
% 18.00/3.83 % (2004976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004976)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004976)Termination reason: Instruction limit
% 18.00/3.83 % (2004976)Termination phase: Saturation
% 18.00/3.83 % (2004976)Time elapsed: 0.066 s
% 18.00/3.83 % (2004976)Peak memory usage: 92 MB
% 18.00/3.83 % (2004976)Instructions burned: 136 (million)
% 18.00/3.83 % (2004842)Instruction limit reached!
% 18.00/3.83 % (2004842)------------------------------
% 18.00/3.83 % (2004842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2004842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2004842)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2004842)Termination reason: Instruction limit
% 18.00/3.83 % (2004842)Termination phase: Saturation
% 18.00/3.83 % (2004842)Time elapsed: 1.574 s
% 18.00/3.83 % (2004842)Peak memory usage: 142 MB
% 18.00/3.83 % (2004842)Instructions burned: 2350 (million)
% 18.00/3.83 % (2005020)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=354469574:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/141Mi)
% 18.00/3.83 % (2005020)Refutation not found, incomplete strategy
% 18.00/3.83 % (2005020)------------------------------
% 18.00/3.83 % (2005020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2005020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2005020)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2005020)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2005020)Time elapsed: 0.003 s
% 18.00/3.83 % (2005020)Peak memory usage: 88 MB
% 18.00/3.83 % (2005020)Instructions burned: 2 (million)
% 18.00/3.83 % (2005021)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=24549093:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 18.00/3.83 % (2005021)Refutation not found, incomplete strategy
% 18.00/3.83 % (2005021)------------------------------
% 18.00/3.83 % (2005021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.00/3.83 % (2005021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.00/3.83 % (2005021)CaDiCaL version: 2.1.3
% 18.00/3.83 % (2005021)Termination reason: Refutation not found, incomplete strategy
% 18.00/3.83 % (2005021)Time elapsed: 0.003 s
% 18.00/3.83 % (2005021)Peak memory usage: 89 MB
% 18.00/3.83 % (2005021)Instructions burned: 2 (million)
% 18.00/3.83 % (2004804)First to succeed.
% 18.00/3.83 % (2004804)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2004784"
% 18.00/3.83 % (2005020)------------------------------
% 18.00/3.83 % (2005020)------------------------------
% 18.00/3.83 % (2005021)------------------------------
% 18.00/3.83 % (2005021)------------------------------
% 18.00/3.83 % (2004804)Refutation found. Thanks to Tanya!
% 18.00/3.83 % SZS status Theorem for theBenchmark
% 18.00/3.83 % SZS output start Proof for theBenchmark
% See solution above
% 21.24/4.02 % (2004804)------------------------------
% 21.24/4.02 % (2004804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.24/4.02 % (2004804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.24/4.02 % (2004804)CaDiCaL version: 2.1.3
% 21.24/4.02 % (2004804)Termination reason: Refutation
% 21.24/4.02 % (2004804)Time elapsed: 2.514 s
% 21.24/4.02 % (2004804)Peak memory usage: 159 MB
% 21.24/4.02 % (2004804)Instructions burned: 3756 (million)
% 21.24/4.02 % (2004804)------------------------------
% 21.24/4.02 % (2004804)------------------------------
% 21.24/4.02 % (2004784)Success in time 2.956 s
% 21.24/4.02 % Vampire exiting
%------------------------------------------------------------------------------