%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM702+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:16:36 PM UTC 2026
% Result : Theorem 11.28s 2.46s
% Output : Refutation 11.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 28
% Syntax : Number of formulae : 157 ( 28 unt; 15 def)
% Number of atoms : 390 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 393 ( 160 ~; 173 |; 26 &)
% ( 29 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 94 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X1),X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f35,axiom,
! [X0] : scratc1041020515d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1388405192_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f150,axiom,
pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_bt)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz26) ).
fof(f205,axiom,
pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_hm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz14) ).
fof(f338,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_hm,X0))
<=> pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__39) ).
fof(f387,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
<=> pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__88) ).
fof(f389,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__90) ).
fof(f403,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__104) ).
fof(f406,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__107) ).
fof(f419,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__120) ).
fof(f598,conjecture,
pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f599,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f598]) ).
fof(f600,plain,
~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f599]) ).
fof(f617,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1388405192_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f618,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1388405192_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f617]) ).
fof(f679,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0)) ) ),
inference(ennf_transformation,[],[f403]) ).
fof(f681,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1))) ) ),
inference(ennf_transformation,[],[f406]) ).
fof(f690,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1)) ) ),
inference(ennf_transformation,[],[f419]) ).
fof(f780,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f781,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f844,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1388405192_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1388405192_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f618]) ).
fof(f845,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1388405192_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1388405192_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1)) ) ),
inference(rectify,[],[f844]) ).
fof(f846,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1388405192_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1388405192_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f845]) ).
fof(f904,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_hm,X0))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hm,X0)) ) ),
inference(nnf_transformation,[],[f338]) ).
fof(f953,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ) ),
inference(nnf_transformation,[],[f387]) ).
fof(f955,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f389]) ).
fof(f972,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f679]) ).
fof(f973,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f972]) ).
fof(f977,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(nnf_transformation,[],[f681]) ).
fof(f978,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ) ),
inference(flattening,[],[f977]) ).
fof(f999,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1)) ) ),
inference(nnf_transformation,[],[f690]) ).
fof(f1000,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1)) ) ),
inference(flattening,[],[f999]) ).
fof(f1244,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X1),X0))) ),
inference(cnf_transformation,[],[f780]) ).
fof(f1245,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,X0),X1)) ),
inference(cnf_transformation,[],[f781]) ).
fof(f1257,plain,
! [X0] : scratc1041020515d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1431,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1388405192_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1)) ),
inference(cnf_transformation,[],[f846]) ).
fof(f1432,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f846]) ).
fof(f1433,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| scratc1388405192_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f846]) ).
fof(f1434,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f846]) ).
fof(f1438,plain,
pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_bt)),
inference(cnf_transformation,[],[f150]) ).
fof(f1493,plain,
pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_hm)),
inference(cnf_transformation,[],[f205]) ).
fof(f1694,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_hm,X0)) ),
inference(cnf_transformation,[],[f904]) ).
fof(f1792,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bt,X0)) ),
inference(cnf_transformation,[],[f953]) ).
fof(f1797,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f955]) ).
fof(f1826,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X1),scratc1662213130nd_n_1)),X0)) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1827,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0)) ),
inference(cnf_transformation,[],[f973]) ).
fof(f1833,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(scratc1041020515d_n_pl(X0),scratc1662213130nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(cnf_transformation,[],[f978]) ).
fof(f1868,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,X0),X1)) ),
inference(cnf_transformation,[],[f1000]) ).
fof(f2285,plain,
~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f600]) ).
fof(f2354,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,X1)),scratc1662213130nd_n_1)),X0)) ),
inference(definition_unfolding,[],[f1826,f1257]) ).
fof(f2359,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,X1),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,X0)),scratc1662213130nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,X0),X1)) ),
inference(definition_unfolding,[],[f1833,f1257]) ).
fof(f2509,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2511,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f2509]) ).
fof(f2512,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2285,f2509]) ).
fof(f2513,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f2511,f1432]) ).
fof(f2514,plain,
( scratc1388405192_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2511,f1433]) ).
fof(f2515,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f2511,f1434]) ).
fof(f2528,definition,
( spl29_2
<=> scratc1388405192_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2530,plain,
( scratc1388405192_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2531,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2514,f2509,f2528]) ).
fof(f2533,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2535,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2533]) ).
fof(f2536,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2515,f2509,f2533]) ).
fof(f2537,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_3 ),
inference(resolution,[],[f2535,f1797]) ).
fof(f2575,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2577,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2575]) ).
fof(f2578,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2513,f2509,f2575]) ).
fof(f2580,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2530,f1431]) ).
fof(f2581,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2580,f2577]) ).
fof(f2583,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2584,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2583]) ).
fof(f2585,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2581,f2575,f2528,f2583]) ).
fof(f3043,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_hm))
| pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(resolution,[],[f2584,f1694]) ).
fof(f3123,plain,
( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f3043,f1493]) ).
fof(f3242,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f3244,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f3242]) ).
fof(f3245,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2537,f2533,f3242]) ).
fof(f3247,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(resolution,[],[f3244,f1432]) ).
fof(f3248,plain,
( scratc1388405192_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f3244,f1433]) ).
fof(f3249,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_6 ),
inference(resolution,[],[f3244,f1434]) ).
fof(f3262,definition,
( spl29_7
<=> scratc1388405192_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f3264,plain,
( scratc1388405192_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f3262]) ).
fof(f3265,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f3248,f3242,f3262]) ).
fof(f3267,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f3269,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f3267]) ).
fof(f3270,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f3249,f3242,f3267]) ).
fof(f3271,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_8 ),
inference(resolution,[],[f3269,f2354]) ).
fof(f3272,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_8 ),
inference(resolution,[],[f3269,f1827]) ).
fof(f3318,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f3264,f1431]) ).
fof(f3319,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3318,f3247]) ).
fof(f3321,definition,
( spl29_9
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f3322,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),X0)) )
| ~ spl29_9 ),
inference(avatar_component_clause,[],[f3321]) ).
fof(f3323,plain,
( spl29_9
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f3319,f3262,f3242,f3321]) ).
fof(f3728,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aTP_Lamm_bt))
| pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(resolution,[],[f3322,f1792]) ).
fof(f3915,plain,
( pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_9 ),
inference(forward_subsumption_resolution,[],[f3728,f1438]) ).
fof(f3989,definition,
( spl29_12
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3991,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc313607302moreis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_12 ),
inference(avatar_component_clause,[],[f3989]) ).
fof(f3992,plain,
( ~ spl29_12
| spl29_8 ),
inference(avatar_split_clause,[],[f3272,f3267,f3989]) ).
fof(f4172,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_12 ),
inference(resolution,[],[f3991,f1868]) ).
fof(f4231,definition,
( spl29_13
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f4233,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_13 ),
inference(avatar_component_clause,[],[f4231]) ).
fof(f4235,definition,
( spl29_14
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f4237,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc179623690lessis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_14 ),
inference(avatar_component_clause,[],[f4235]) ).
fof(f4238,plain,
( ~ spl29_13
| ~ spl29_14
| spl29_12 ),
inference(avatar_split_clause,[],[f4172,f3989,f4235,f4231]) ).
fof(f4247,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_hl,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_9
| spl29_13 ),
inference(resolution,[],[f4233,f3322]) ).
fof(f4286,plain,
( $false
| ~ spl29_5
| ~ spl29_9
| spl29_13 ),
inference(forward_subsumption_resolution,[],[f4247,f3123]) ).
fof(f4287,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_13 ),
inference(avatar_contradiction_clause,[],[f4286]) ).
fof(f4305,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_14 ),
inference(resolution,[],[f4237,f2359]) ).
fof(f4352,definition,
( spl29_15
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f4354,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1331683044_29_ii,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f4352]) ).
fof(f4355,plain,
( spl29_15
| spl29_8 ),
inference(avatar_split_clause,[],[f3271,f3267,f4352]) ).
fof(f4357,plain,
( pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_15 ),
inference(resolution,[],[f4354,f1245]) ).
fof(f4418,definition,
( spl29_16
<=> pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f4420,plain,
( pp(aa_fun171081125l_bool(scratc1431138523n_some,aa_TPT43085870d_bool(scratc1193483343ffprop(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f4418]) ).
fof(f4421,plain,
( spl29_16
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f4357,f4352,f4418]) ).
fof(f4423,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc523162338nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1712323926bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1184746689d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),scratc1662213130nd_n_1)))
| ~ spl29_16 ),
inference(resolution,[],[f4420,f1244]) ).
fof(f4433,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_14
| ~ spl29_16 ),
inference(backward_subsumption_resolution,[],[f4305,f4423]) ).
fof(f4435,definition,
( spl29_17
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition]) ).
fof(f4437,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_17 ),
inference(avatar_component_clause,[],[f4435]) ).
fof(f4438,plain,
( ~ spl29_17
| spl29_14
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f4433,f4418,f4235,f4435]) ).
fof(f4447,plain,
( ~ pp(aa_fun171081125l_bool(scratc1576653073all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bs,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_5
| spl29_17 ),
inference(resolution,[],[f4437,f2584]) ).
fof(f4486,plain,
( $false
| ~ spl29_5
| ~ spl29_9
| spl29_17 ),
inference(forward_subsumption_resolution,[],[f4447,f3915]) ).
fof(f4487,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_17 ),
inference(avatar_contradiction_clause,[],[f4486]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2512]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2531]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2578]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2585]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f3245]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f3270]) ).
cnf(s9,plain,
( spl29_6
| ~ spl29_7
| spl29_9 ),
inference(sat_conversion,[],[f3323]) ).
cnf(s12,plain,
( spl29_8
| ~ spl29_12 ),
inference(sat_conversion,[],[f3992]) ).
cnf(s13,plain,
( spl29_12
| ~ spl29_13
| ~ spl29_14 ),
inference(sat_conversion,[],[f4238]) ).
cnf(s14,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_13 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s15,plain,
( spl29_8
| spl29_15 ),
inference(sat_conversion,[],[f4355]) ).
cnf(s16,plain,
( ~ spl29_15
| spl29_16 ),
inference(sat_conversion,[],[f4421]) ).
cnf(s17,plain,
( spl29_14
| ~ spl29_16
| ~ spl29_17 ),
inference(sat_conversion,[],[f4438]) ).
cnf(s18,plain,
( ~ spl29_5
| ~ spl29_9
| spl29_17 ),
inference(sat_conversion,[],[f4487]) ).
cnf(s19,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s20,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s21,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s22,plain,
~ spl29_6,
inference(rat,[],[s6,s20]) ).
cnf(s23,plain,
spl29_5,
inference(rat,[],[s5,s19,s21]) ).
cnf(s25,plain,
~ spl29_8,
inference(rat,[],[s8,s22]) ).
cnf(s26,plain,
spl29_7,
inference(rat,[],[s7,s22]) ).
cnf(s27,plain,
spl29_15,
inference(rat,[],[s15,s25]) ).
cnf(s28,plain,
~ spl29_12,
inference(rat,[],[s12,s25]) ).
cnf(s30,plain,
spl29_9,
inference(rat,[],[s9,s22,s26]) ).
cnf(s31,plain,
spl29_16,
inference(rat,[],[s16,s27]) ).
cnf(s32,plain,
spl29_17,
inference(rat,[],[s18,s23,s30]) ).
cnf(s33,plain,
spl29_13,
inference(rat,[],[s14,s23,s30]) ).
cnf(s34,plain,
spl29_14,
inference(rat,[],[s17,s32,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s13,s28,s34,s33]) ).
fof(f4488,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM702+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 21:12:01 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.28/2.46 % (2009391)Detected formulas, will run a generic FOF schedule.
% 11.28/2.46 % (2009396)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=1341058268:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.28/2.46 % (2009399)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2396974437:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.28/2.46 % (2009402)dis-21_1_sil=8000:lcm=predicate:random_seed=1085328273: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)
% 11.28/2.46 % (2009397)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=2999837266:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.28/2.46 % (2009400)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=949426424:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.28/2.46 % (2009401)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2650572055:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.28/2.46 % (2009398)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=857754491:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.28/2.46 % (2009399)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009399)------------------------------
% 11.28/2.46 % (2009399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009399)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009399)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009399)Time elapsed: 0.003 s
% 11.28/2.46 % (2009399)Peak memory usage: 88 MB
% 11.28/2.46 % (2009399)Instructions burned: 2 (million)
% 11.28/2.46 % (2009400)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009400)------------------------------
% 11.28/2.46 % (2009400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009400)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009400)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009400)Time elapsed: 0.003 s
% 11.28/2.46 % (2009400)Peak memory usage: 88 MB
% 11.28/2.46 % (2009400)Instructions burned: 3 (million)
% 11.28/2.46 % (2009402)Instruction limit reached!
% 11.28/2.46 % (2009402)------------------------------
% 11.28/2.46 % (2009402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009402)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009402)Termination reason: Instruction limit
% 11.28/2.46 % (2009402)Termination phase: Saturation
% 11.28/2.46 % (2009402)Time elapsed: 0.071 s
% 11.28/2.46 % (2009402)Peak memory usage: 90 MB
% 11.28/2.46 % (2009402)Instructions burned: 129 (million)
% 11.28/2.46 % (2009401)Instruction limit reached!
% 11.28/2.46 % (2009401)------------------------------
% 11.28/2.46 % (2009401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009401)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009401)Termination reason: Instruction limit
% 11.28/2.46 % (2009401)Termination phase: Saturation
% 11.28/2.46 % (2009401)Time elapsed: 0.081 s
% 11.28/2.46 % (2009401)Peak memory usage: 90 MB
% 11.28/2.46 % (2009401)Instructions burned: 139 (million)
% 11.28/2.46 % (2009410)lrs+10_1_sil=8000:sp=occurrence:random_seed=429645177:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.28/2.46 % (2009410)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009410)------------------------------
% 11.28/2.46 % (2009410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009410)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009410)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009410)Time elapsed: 0.003 s
% 11.28/2.46 % (2009410)Peak memory usage: 88 MB
% 11.28/2.46 % (2009410)Instructions burned: 2 (million)
% 11.28/2.46 % (2009411)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2491367390:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.28/2.46 % (2009411)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009411)------------------------------
% 11.28/2.46 % (2009411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009411)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009411)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009411)Time elapsed: 0.006 s
% 11.28/2.46 % (2009411)Peak memory usage: 88 MB
% 11.28/2.46 % (2009411)Instructions burned: 9 (million)
% 11.28/2.46 % (2009400)------------------------------
% 11.28/2.46 % (2009400)------------------------------
% 11.28/2.46 % (2009399)------------------------------
% 11.28/2.46 % (2009399)------------------------------
% 11.28/2.46 % (2009415)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=163151449:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.28/2.46 % (2009414)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3943970477:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.28/2.46 % (2009414)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009414)------------------------------
% 11.28/2.46 % (2009414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009414)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009414)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009414)Time elapsed: 0.005 s
% 11.28/2.46 % (2009414)Peak memory usage: 89 MB
% 11.28/2.46 % (2009414)Instructions burned: 5 (million)
% 11.28/2.46 % (2009410)------------------------------
% 11.28/2.46 % (2009410)------------------------------
% 11.28/2.46 % (2009415)Instruction limit reached!
% 11.28/2.46 % (2009415)------------------------------
% 11.28/2.46 % (2009415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009415)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009415)Termination reason: Instruction limit
% 11.28/2.46 % (2009415)Termination phase: Saturation
% 11.28/2.46 % (2009415)Time elapsed: 0.064 s
% 11.28/2.46 % (2009415)Peak memory usage: 90 MB
% 11.28/2.46 % (2009415)Instructions burned: 248 (million)
% 11.28/2.46 % (2009411)------------------------------
% 11.28/2.46 % (2009411)------------------------------
% 11.28/2.46 % (2009419)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4113645248:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 11.28/2.46 % (2009418)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2299891791:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.28/2.46 % (2009420)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=684853830:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 11.28/2.46 % (2009418)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009418)------------------------------
% 11.28/2.46 % (2009418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009418)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009418)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009418)Time elapsed: 0.005 s
% 11.28/2.46 % (2009418)Peak memory usage: 89 MB
% 11.28/2.46 % (2009418)Instructions burned: 7 (million)
% 11.28/2.46 % (2009414)------------------------------
% 11.28/2.46 % (2009414)------------------------------
% 11.28/2.46 % (2009420)Instruction limit reached!
% 11.28/2.46 % (2009420)------------------------------
% 11.28/2.46 % (2009420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009420)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009420)Termination reason: Instruction limit
% 11.28/2.46 % (2009420)Termination phase: Saturation
% 11.28/2.46 % (2009420)Time elapsed: 0.059 s
% 11.28/2.46 % (2009420)Peak memory usage: 91 MB
% 11.28/2.46 % (2009420)Instructions burned: 114 (million)
% 11.28/2.46 % (2009424)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2791544700:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 11.28/2.46 % (2009425)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1118008271:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 11.28/2.46 % (2009418)------------------------------
% 11.28/2.46 % (2009418)------------------------------
% 11.28/2.46 % (2009424)Instruction limit reached!
% 11.28/2.46 % (2009424)------------------------------
% 11.28/2.46 % (2009424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009424)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009424)Termination reason: Instruction limit
% 11.28/2.46 % (2009424)Termination phase: Saturation
% 11.28/2.46 % (2009424)Time elapsed: 0.061 s
% 11.28/2.46 % (2009424)Peak memory usage: 89 MB
% 11.28/2.46 % (2009424)Instructions burned: 129 (million)
% 11.28/2.46 % (2009425)Instruction limit reached!
% 11.28/2.46 % (2009425)------------------------------
% 11.28/2.46 % (2009425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009425)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009425)Termination reason: Instruction limit
% 11.28/2.46 % (2009425)Termination phase: Saturation
% 11.28/2.46 % (2009425)Time elapsed: 0.062 s
% 11.28/2.46 % (2009425)Peak memory usage: 90 MB
% 11.28/2.46 % (2009425)Instructions burned: 115 (million)
% 11.28/2.46 % (2009429)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=176281499:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 11.28/2.46 % (2009428)lrs+10_1_sil=8000:sp=occurrence:random_seed=1259727514:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 11.28/2.46 % (2009429)Refutation not found, incomplete strategy
% 11.28/2.46 % (2009429)------------------------------
% 11.28/2.46 % (2009429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.28/2.46 % (2009429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.28/2.46 % (2009429)CaDiCaL version: 2.1.3
% 11.28/2.46 % (2009429)Termination reason: Refutation not found, incomplete strategy
% 11.28/2.46 % (2009429)Time elapsed: 0.043 s
% 11.28/2.46 % (2009429)Peak memory usage: 90 MB
% 11.28/2.46 % (2009429)Instructions burned: 85 (million)
% 11.28/2.46 % (2009430)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1630214997:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 11.28/2.46 % (2009398)First to succeed.
% 11.28/2.46 % (2009398)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2009391"
% 11.28/2.46 % (2009429)------------------------------
% 11.28/2.46 % (2009429)------------------------------
% 11.28/2.46 % (2009398)Refutation found. Thanks to Tanya!
% 11.28/2.46 % SZS status Theorem for theBenchmark
% 11.28/2.46 % SZS output start Proof for theBenchmark
% See solution above
% 11.88/2.66 % (2009398)------------------------------
% 11.88/2.66 % (2009398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.88/2.66 % (2009398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.88/2.66 % (2009398)CaDiCaL version: 2.1.3
% 11.88/2.66 % (2009398)Termination reason: Refutation
% 11.88/2.66 % (2009398)Time elapsed: 1.154 s
% 11.88/2.66 % (2009398)Peak memory usage: 142 MB
% 11.88/2.66 % (2009398)Instructions burned: 1949 (million)
% 11.88/2.66 % (2009398)------------------------------
% 11.88/2.66 % (2009398)------------------------------
% 11.88/2.66 % (2009391)Success in time 1.619 s
% 11.88/2.66 % Vampire exiting
%------------------------------------------------------------------------------