%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM786+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 : n020.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 12:17:00 PM UTC 2026
% Result : Theorem 32.87s 5.77s
% Output : Refutation 33.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 90 ( 15 unt; 0 def)
% Number of atoms : 236 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 250 ( 104 ~; 113 |; 19 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 144 ( 142 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
<=> pp(aa_bool_bool(scratc1902939138d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__rt__lessis) ).
fof(f179,axiom,
! [X0,X1,X2] :
( pp(scratc876384963nd_or3(X0,X1,X2))
<=> pp(aa_bool_bool(scratc1902939138d_l_or(X0),aa_bool_bool(scratc1902939138d_l_or(X1),X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__or3) ).
fof(f185,axiom,
! [X0] : scratc1902939138d_l_or(X0) = aa_boo1142376798l_bool(scratc826487999nd_imp,scratc1137990332_d_not(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f190,axiom,
! [X0] :
( pp(scratc1137990332_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc826487999nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f191,axiom,
scratc826487999nd_imp = fimplies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f222,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2043069550_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f229,axiom,
pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_cm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz81a) ).
fof(f760,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0))
<=> pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__234) ).
fof(f766,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__240) ).
fof(f777,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
<=> pp(scratc876384963nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__251) ).
fof(f845,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__319) ).
fof(f1268,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1269,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1270,axiom,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f1271,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1278,conjecture,
pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1279,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1278]) ).
fof(f1280,plain,
~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1279]) ).
fof(f1283,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1))) ) ),
inference(ennf_transformation,[],[f845]) ).
fof(f1384,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2043069550_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1385,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2043069550_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1384]) ).
fof(f1417,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f766]) ).
fof(f1418,plain,
! [X0] :
( ( pp(scratc1137990332_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc826487999nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc826487999nd_imp,X0),fFalse))
| ~ pp(scratc1137990332_d_not(X0)) ) ),
inference(nnf_transformation,[],[f190]) ).
fof(f1422,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
| ~ pp(scratc876384963nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1))) )
& ( pp(scratc876384963nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1)) ) ),
inference(nnf_transformation,[],[f777]) ).
fof(f1423,plain,
! [X0,X1,X2] :
( ( pp(scratc876384963nd_or3(X0,X1,X2))
| ~ pp(aa_bool_bool(scratc1902939138d_l_or(X0),aa_bool_bool(scratc1902939138d_l_or(X1),X2))) )
& ( pp(aa_bool_bool(scratc1902939138d_l_or(X0),aa_bool_bool(scratc1902939138d_l_or(X1),X2)))
| ~ pp(scratc876384963nd_or3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f179]) ).
fof(f1437,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
& pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1283]) ).
fof(f1438,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
& pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f1437]) ).
fof(f1470,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1902939138d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc1902939138d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f1481,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0))
| ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0)) ) ),
inference(nnf_transformation,[],[f760]) ).
fof(f1651,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2043069550_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2043069550_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1385]) ).
fof(f1652,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2043069550_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2043069550_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1)) ) ),
inference(rectify,[],[f1651]) ).
fof(f1653,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
& scratc2043069550_is_of(sK13(X0,X1),X0)
& gg_TPTP_ind(sK13(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2043069550_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f1652]) ).
fof(f1762,plain,
~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1280]) ).
fof(f1777,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1417]) ).
fof(f1778,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f1268]) ).
fof(f1779,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc826487999nd_imp,X0),fFalse))
| ~ pp(scratc1137990332_d_not(X0)) ),
inference(cnf_transformation,[],[f1418]) ).
fof(f1780,plain,
! [X0] :
( pp(scratc1137990332_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc826487999nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1418]) ).
fof(f1790,plain,
! [X0,X1] :
( pp(scratc876384963nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1)) ),
inference(cnf_transformation,[],[f1422]) ).
fof(f1792,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(scratc1902939138d_l_or(X0),aa_bool_bool(scratc1902939138d_l_or(X1),X2)))
| ~ pp(scratc876384963nd_or3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f1423]) ).
fof(f1821,plain,
! [X0,X1] :
( pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1438]) ).
fof(f1822,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1438]) ).
fof(f1829,plain,
scratc826487999nd_imp = fimplies,
inference(cnf_transformation,[],[f191]) ).
fof(f1830,plain,
! [X0] : aa_boo1142376798l_bool(scratc826487999nd_imp,scratc1137990332_d_not(X0)) = scratc1902939138d_l_or(X0),
inference(cnf_transformation,[],[f185]) ).
fof(f1925,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc1902939138d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1))) ),
inference(cnf_transformation,[],[f1470]) ).
fof(f1945,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cl,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0)) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f2042,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f1271]) ).
fof(f2043,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
| ~ pp(X0) ),
inference(cnf_transformation,[],[f1270]) ).
fof(f2044,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1269]) ).
fof(f2230,plain,
pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_cm)),
inference(cnf_transformation,[],[f229]) ).
fof(f2359,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
| ~ scratc2043069550_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f1653]) ).
fof(f2360,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1))
| gg_TPTP_ind(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f1653]) ).
fof(f2361,plain,
! [X0,X1] :
( scratc2043069550_is_of(sK13(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1653]) ).
fof(f2362,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1653]) ).
fof(f2685,plain,
! [X0] : scratc1902939138d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1137990332_d_not(X0)),
inference(definition_unfolding,[],[f1830,f1829]) ).
fof(f2688,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc1137990332_d_not(X0)) ),
inference(definition_unfolding,[],[f1780,f1829]) ).
fof(f2689,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1137990332_d_not(X0)) ),
inference(definition_unfolding,[],[f1779,f1829]) ).
fof(f2691,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1137990332_d_not(X0)),aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1137990332_d_not(X1)),X2)))
| ~ pp(scratc876384963nd_or3(X0,X1,X2)) ),
inference(definition_unfolding,[],[f1792,f2685,f2685]) ).
fof(f2712,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1)) ),
inference(definition_unfolding,[],[f1925,f2685]) ).
fof(f2863,plain,
! [X0] :
( pp(scratc1137990332_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f2042,f2688]) ).
fof(f2867,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1822,f2362]) ).
fof(f2873,plain,
! [X0,X1] :
( pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1)) ),
inference(resolution,[],[f2712,f2042]) ).
fof(f2875,plain,
! [X0] :
( ~ pp(X0)
| pp(fFalse)
| ~ pp(scratc1137990332_d_not(X0)) ),
inference(resolution,[],[f2044,f2689]) ).
fof(f2878,plain,
! [X0] :
( ~ pp(scratc1137990332_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f2875,f1778]) ).
fof(f2879,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)) ),
inference(resolution,[],[f2878,f1821]) ).
fof(f2881,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)) ),
inference(resolution,[],[f2878,f2873]) ).
fof(f2884,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f2881,f2867]) ).
fof(f2886,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f2879,f2362]) ).
fof(f2919,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1137990332_d_not(X1)),X2))
| ~ pp(scratc1137990332_d_not(X0))
| ~ pp(scratc876384963nd_or3(X0,X1,X2)) ),
inference(resolution,[],[f2691,f2044]) ).
fof(f2925,plain,
! [X2,X0,X1] :
( ~ pp(scratc876384963nd_or3(X0,X1,X2))
| ~ pp(scratc1137990332_d_not(X0))
| ~ pp(scratc1137990332_d_not(X1))
| pp(X2) ),
inference(resolution,[],[f2919,f2044]) ).
fof(f2931,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
| ~ scratc2043069550_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0)) ),
inference(resolution,[],[f1945,f2359]) ).
fof(f3127,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc2043069550_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f2230,f2359]) ).
fof(f3428,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1147305202lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)) ),
inference(resolution,[],[f2043,f2712]) ).
fof(f3441,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3428,f2867]) ).
fof(f4584,plain,
! [X0,X1] :
( ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)))
| ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1)) ),
inference(resolution,[],[f1790,f2925]) ).
fof(f4588,plain,
! [X0,X1] :
( ~ pp(scratc1137990332_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1)) ),
inference(resolution,[],[f4584,f2863]) ).
fof(f4589,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1785504292t_more,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),X1)) ),
inference(resolution,[],[f4588,f2863]) ).
fof(f4603,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922367656t_less,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f4589,f2886]) ).
fof(f4605,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc87854393_rt_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f4603,f2884]) ).
fof(f4608,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cl,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f4605,f3441]) ).
fof(f4609,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ scratc2043069550_is_of(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X1)) ),
inference(resolution,[],[f4608,f2931]) ).
fof(f4611,plain,
! [X0,X1] :
( ~ scratc2043069550_is_of(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X1)) ),
inference(forward_subsumption_resolution,[],[f4609,f2360]) ).
fof(f4612,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f4611,f2361]) ).
fof(f4613,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0)) ),
inference(duplicate_literal_removal,[],[f4612]) ).
fof(f4614,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,X0)) ),
inference(resolution,[],[f4613,f1777]) ).
fof(f4617,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cm,sK13(X0,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f4614,f2362]) ).
fof(f4639,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),aTP_Lamm_ab))
| ~ gg_TPTP_ind(sK13(X0,aTP_Lamm_ab))
| ~ scratc2043069550_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a) ),
inference(resolution,[],[f4617,f3127]) ).
fof(f4641,plain,
! [X0] :
( ~ scratc2043069550_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1525880811all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f4639,f2360]) ).
fof(f4642,plain,
( pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f4641,f2361]) ).
fof(f4643,plain,
pp(aa_fun171081125l_bool(scratc1525880811all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f4642]) ).
fof(f4644,plain,
$false,
inference(forward_subsumption_resolution,[],[f4643,f1762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM786+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n020.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 21:24:19 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.46 Running first-order theorem proving
% 0.13/0.46 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
% 18.05/3.62 % (3760390)Detected formulas, will run a generic FOF schedule.
% 18.05/3.62 % (3760398)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3252234178:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.05/3.62 % (3760398)Refutation not found, incomplete strategy
% 18.05/3.62 % (3760398)------------------------------
% 18.05/3.62 % (3760398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.62 % (3760398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.62 % (3760398)CaDiCaL version: 2.1.3
% 18.05/3.62 % (3760398)Termination reason: Refutation not found, incomplete strategy
% 18.05/3.62 % (3760398)Time elapsed: 0.004 s
% 18.05/3.62 % (3760398)Peak memory usage: 89 MB
% 18.05/3.62 % (3760398)Instructions burned: 6 (million)
% 18.05/3.62 % (3760397)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=2802679627:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.05/3.62 % (3760396)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=1695421053:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.05/3.62 % (3760401)dis-21_1_sil=8000:lcm=predicate:random_seed=3984805392:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 18.05/3.62 % (3760395)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=2952748576:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.05/3.62 % (3760399)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1693685928:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.05/3.62 % (3760400)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2429638257:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.05/3.62 % (3760399)Refutation not found, incomplete strategy
% 18.05/3.62 % (3760399)------------------------------
% 18.05/3.62 % (3760399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.62 % (3760399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.62 % (3760399)CaDiCaL version: 2.1.3
% 18.05/3.62 % (3760399)Termination reason: Refutation not found, incomplete strategy
% 18.05/3.62 % (3760399)Time elapsed: 0.008 s
% 18.05/3.62 % (3760399)Peak memory usage: 89 MB
% 18.05/3.62 % (3760399)Instructions burned: 7 (million)
% 18.05/3.62 % (3760401)Instruction limit reached!
% 18.05/3.62 % (3760401)------------------------------
% 18.05/3.62 % (3760401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.62 % (3760401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.62 % (3760401)CaDiCaL version: 2.1.3
% 18.05/3.62 % (3760401)Termination reason: Instruction limit
% 18.05/3.62 % (3760401)Termination phase: Saturation
% 18.05/3.62 % (3760401)Time elapsed: 0.104 s
% 18.05/3.62 % (3760401)Peak memory usage: 90 MB
% 18.05/3.62 % (3760401)Instructions burned: 130 (million)
% 18.05/3.62 % (3760400)Instruction limit reached!
% 18.05/3.62 % (3760400)------------------------------
% 18.05/3.62 % (3760400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.62 % (3760400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.62 % (3760400)CaDiCaL version: 2.1.3
% 18.05/3.62 % (3760400)Termination reason: Instruction limit
% 18.05/3.62 % (3760400)Termination phase: Saturation
% 18.05/3.62 % (3760400)Time elapsed: 0.113 s
% 18.05/3.62 % (3760400)Peak memory usage: 91 MB
% 18.05/3.62 % (3760400)Instructions burned: 139 (million)
% 18.05/3.62 % (3760398)------------------------------
% 18.05/3.62 % (3760398)------------------------------
% 18.05/3.62 % (3760409)lrs+10_1_sil=8000:sp=occurrence:random_seed=3773275146:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 18.05/3.62 % (3760409)Refutation not found, incomplete strategy
% 18.05/3.62 % (3760409)------------------------------
% 18.05/3.62 % (3760409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.05/3.62 % (3760409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.05/3.62 % (3760409)CaDiCaL version: 2.1.3
% 18.05/3.62 % (3760409)Termination reason: Refutation not found, incomplete strategy
% 18.05/3.62 % (3760409)Time elapsed: 0.008 s
% 18.05/3.62 % (3760409)Peak memory usage: 89 MB
% 25.09/4.68 % (3760409)Instructions burned: 6 (million)
% 25.09/4.68 % (3760410)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3845652961:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 25.09/4.68 % (3760411)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1929284964:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 25.09/4.68 % (3760410)Refutation not found, incomplete strategy
% 25.09/4.68 % (3760410)------------------------------
% 25.09/4.68 % (3760410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.09/4.68 % (3760410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.09/4.68 % (3760410)CaDiCaL version: 2.1.3
% 25.09/4.68 % (3760410)Termination reason: Refutation not found, incomplete strategy
% 25.09/4.68 % (3760410)Time elapsed: 0.019 s
% 25.09/4.68 % (3760410)Peak memory usage: 89 MB
% 25.09/4.68 % (3760410)Instructions burned: 21 (million)
% 25.09/4.68 % (3760411)Refutation not found, incomplete strategy
% 25.09/4.68 % (3760411)------------------------------
% 25.09/4.68 % (3760411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.09/4.68 % (3760411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.09/4.68 % (3760411)CaDiCaL version: 2.1.3
% 25.09/4.68 % (3760411)Termination reason: Refutation not found, incomplete strategy
% 25.09/4.68 % (3760411)Time elapsed: 0.008 s
% 25.09/4.68 % (3760411)Peak memory usage: 90 MB
% 25.09/4.68 % (3760411)Instructions burned: 13 (million)
% 25.09/4.68 % (3760399)------------------------------
% 25.09/4.68 % (3760399)------------------------------
% 25.09/4.68 % (3760411)------------------------------
% 25.09/4.68 % (3760411)------------------------------
% 25.09/4.68 % (3760415)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=984974699:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 25.09/4.68 % (3760409)------------------------------
% 25.09/4.68 % (3760409)------------------------------
% 25.09/4.68 % (3760415)Instruction limit reached!
% 25.09/4.68 % (3760415)------------------------------
% 25.09/4.68 % (3760415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.09/4.68 % (3760415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.09/4.68 % (3760415)CaDiCaL version: 2.1.3
% 25.09/4.68 % (3760415)Termination reason: Instruction limit
% 25.09/4.68 % (3760415)Termination phase: Saturation
% 25.09/4.68 % (3760415)Time elapsed: 0.131 s
% 25.09/4.68 % (3760415)Peak memory usage: 93 MB
% 25.09/4.68 % (3760415)Instructions burned: 248 (million)
% 25.09/4.68 % (3760410)------------------------------
% 25.09/4.68 % (3760410)------------------------------
% 25.09/4.68 % (3760417)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=62477536:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 25.09/4.68 % (3760417)Refutation not found, incomplete strategy
% 25.09/4.68 % (3760417)------------------------------
% 25.09/4.68 % (3760417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.09/4.68 % (3760417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.09/4.68 % (3760417)CaDiCaL version: 2.1.3
% 25.09/4.68 % (3760417)Termination reason: Refutation not found, incomplete strategy
% 25.09/4.68 % (3760417)Time elapsed: 0.016 s
% 25.09/4.68 % (3760417)Peak memory usage: 90 MB
% 25.09/4.68 % (3760417)Instructions burned: 15 (million)
% 25.09/4.68 % (3760418)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3444326531:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 25.09/4.68 % (3760419)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3920922727:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 25.09/4.68 % (3760419)Instruction limit reached!
% 25.09/4.68 % (3760419)------------------------------
% 25.09/4.68 % (3760419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.09/4.68 % (3760419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.09/4.68 % (3760419)CaDiCaL version: 2.1.3
% 25.09/4.68 % (3760419)Termination reason: Instruction limit
% 25.09/4.68 % (3760419)Termination phase: Saturation
% 25.09/4.68 % (3760419)Time elapsed: 0.096 s
% 25.09/4.68 % (3760419)Peak memory usage: 90 MB
% 25.09/4.68 % (3760419)Instructions burned: 113 (million)
% 25.09/4.68 % (3760420)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1694915833:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 32.87/5.76 % (3760420)Instruction limit reached!
% 32.87/5.76 % (3760420)------------------------------
% 32.87/5.76 % (3760420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.76 % (3760420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.76 % (3760420)CaDiCaL version: 2.1.3
% 32.87/5.76 % (3760420)Termination reason: Instruction limit
% 32.87/5.76 % (3760420)Termination phase: Property scanning
% 32.87/5.76 % (3760420)Time elapsed: 0.105 s
% 32.87/5.76 % (3760420)Peak memory usage: 89 MB
% 32.87/5.76 % (3760420)Instructions burned: 127 (million)
% 32.87/5.76 % (3760417)------------------------------
% 32.87/5.76 % (3760417)------------------------------
% 32.87/5.76 % (3760425)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1909989749:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 32.87/5.76 % (3760425)Instruction limit reached!
% 32.87/5.76 % (3760425)------------------------------
% 32.87/5.76 % (3760425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.76 % (3760425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.76 % (3760425)CaDiCaL version: 2.1.3
% 32.87/5.76 % (3760425)Termination reason: Instruction limit
% 32.87/5.76 % (3760425)Termination phase: Saturation
% 32.87/5.76 % (3760425)Time elapsed: 0.102 s
% 32.87/5.76 % (3760425)Peak memory usage: 90 MB
% 32.87/5.76 % (3760425)Instructions burned: 114 (million)
% 32.87/5.76 % (3760426)lrs+10_1_sil=8000:sp=occurrence:random_seed=343512817:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 32.87/5.76 % (3760427)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2589990314:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 32.87/5.76 % (3760427)Refutation not found, incomplete strategy
% 32.87/5.76 % (3760427)------------------------------
% 32.87/5.76 % (3760427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.76 % (3760427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.76 % (3760427)CaDiCaL version: 2.1.3
% 32.87/5.76 % (3760427)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.76 % (3760427)Time elapsed: 0.089 s
% 32.87/5.76 % (3760427)Peak memory usage: 93 MB
% 32.87/5.76 % (3760427)Instructions burned: 192 (million)
% 32.87/5.76 % (3760430)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4102919460:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 32.87/5.76 % (3760427)------------------------------
% 32.87/5.76 % (3760427)------------------------------
% 32.87/5.76 % (3760435)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2914162566:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 32.87/5.76 % (3760435)Instruction limit reached!
% 32.87/5.76 % (3760435)------------------------------
% 32.87/5.76 % (3760435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.76 % (3760435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.76 % (3760435)CaDiCaL version: 2.1.3
% 32.87/5.76 % (3760435)Termination reason: Instruction limit
% 32.87/5.76 % (3760435)Termination phase: Saturation
% 32.87/5.76 % (3760435)Time elapsed: 0.057 s
% 32.87/5.76 % (3760435)Peak memory usage: 91 MB
% 32.87/5.76 % (3760435)Instructions burned: 135 (million)
% 32.87/5.77 % (3760437)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=601550896:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 32.87/5.77 % (3760437)Refutation not found, incomplete strategy
% 32.87/5.77 % (3760437)------------------------------
% 32.87/5.77 % (3760437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760437)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760437)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.77 % (3760437)Time elapsed: 0.019 s
% 32.87/5.77 % (3760437)Peak memory usage: 90 MB
% 32.87/5.77 % (3760437)Instructions burned: 39 (million)
% 32.87/5.77 % (3760426)Instruction limit reached!
% 32.87/5.77 % (3760426)------------------------------
% 32.87/5.77 % (3760426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760426)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760426)Termination reason: Instruction limit
% 32.87/5.77 % (3760426)Termination phase: Saturation
% 32.87/5.77 % (3760426)Time elapsed: 0.873 s
% 32.87/5.77 % (3760426)Peak memory usage: 102 MB
% 32.87/5.77 % (3760426)Instructions burned: 908 (million)
% 32.87/5.77 % (3760437)------------------------------
% 32.87/5.77 % (3760437)------------------------------
% 32.87/5.77 % (3760439)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1657203776:st=3:i=13193:sd=3:ss=axioms_2974 on theBenchmark for (2974ds/13193Mi)
% 32.87/5.77 % (3760418)Instruction limit reached!
% 32.87/5.77 % (3760418)------------------------------
% 32.87/5.77 % (3760418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760418)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760418)Termination reason: Instruction limit
% 32.87/5.77 % (3760418)Termination phase: Saturation
% 32.87/5.77 % (3760418)Time elapsed: 1.779 s
% 32.87/5.77 % (3760418)Peak memory usage: 162 MB
% 32.87/5.77 % (3760418)Instructions burned: 2350 (million)
% 32.87/5.77 % (3760440)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=1730595517:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 32.87/5.77 % (3760440)Instruction limit reached!
% 32.87/5.77 % (3760440)------------------------------
% 32.87/5.77 % (3760440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760440)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760440)Termination reason: Instruction limit
% 32.87/5.77 % (3760440)Termination phase: Saturation
% 32.87/5.77 % (3760440)Time elapsed: 0.061 s
% 32.87/5.77 % (3760440)Peak memory usage: 92 MB
% 32.87/5.77 % (3760440)Instructions burned: 125 (million)
% 32.87/5.77 % (3760444)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1673100929:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 32.87/5.77 % (3760444)Refutation not found, incomplete strategy
% 32.87/5.77 % (3760444)------------------------------
% 32.87/5.77 % (3760444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760444)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760444)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.77 % (3760444)Time elapsed: 0.004 s
% 32.87/5.77 % (3760444)Peak memory usage: 89 MB
% 32.87/5.77 % (3760444)Instructions burned: 6 (million)
% 32.87/5.77 % (3760443)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2926161420:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 32.87/5.77 % (3760443)Instruction limit reached!
% 32.87/5.77 % (3760443)------------------------------
% 32.87/5.77 % (3760443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760443)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760443)Termination reason: Instruction limit
% 32.87/5.77 % (3760443)Termination phase: Twee Goal Transformation
% 32.87/5.77 % (3760443)Time elapsed: 0.115 s
% 32.87/5.77 % (3760443)Peak memory usage: 91 MB
% 32.87/5.77 % (3760443)Instructions burned: 134 (million)
% 32.87/5.77 % (3760444)------------------------------
% 32.87/5.77 % (3760444)------------------------------
% 32.87/5.77 % (3760447)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2006865298:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 32.87/5.77 % (3760447)Refutation not found, incomplete strategy
% 32.87/5.77 % (3760447)------------------------------
% 32.87/5.77 % (3760447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760447)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760447)Termination reason: Refutation not found, incomplete strategy
% 32.87/5.77 % (3760447)Time elapsed: 0.009 s
% 32.87/5.77 % (3760447)Peak memory usage: 90 MB
% 32.87/5.77 % (3760447)Instructions burned: 7 (million)
% 32.87/5.77 % (3760448)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=257095734:i=6060:aac=none:ins=25_2965 on theBenchmark for (2965ds/6060Mi)
% 32.87/5.77 % (3760447)------------------------------
% 32.87/5.77 % (3760447)------------------------------
% 32.87/5.77 % (3760453)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1610120254:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2959 on theBenchmark for (2959ds/150Mi)
% 32.87/5.77 % (3760430)First to succeed.
% 32.87/5.77 % (3760430)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3760390"
% 32.87/5.77 % (3760453)Instruction limit reached!
% 32.87/5.77 % (3760453)------------------------------
% 32.87/5.77 % (3760453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.87/5.77 % (3760453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.87/5.77 % (3760453)CaDiCaL version: 2.1.3
% 32.87/5.77 % (3760453)Termination reason: Instruction limit
% 32.87/5.77 % (3760453)Termination phase: Saturation
% 32.87/5.77 % (3760453)Time elapsed: 0.122 s
% 32.87/5.77 % (3760453)Peak memory usage: 91 MB
% 32.87/5.77 % (3760453)Instructions burned: 150 (million)
% 32.87/5.77 % (3760455)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4027012745:i=14155:bd=all_2956 on theBenchmark for (2956ds/14155Mi)
% 32.87/5.77 % (3760430)Refutation found. Thanks to Tanya!
% 32.87/5.77 % SZS status Theorem for theBenchmark
% 32.87/5.77 % SZS output start Proof for theBenchmark
% See solution above
% 33.74/5.99 % (3760430)------------------------------
% 33.74/5.99 % (3760430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.74/5.99 % (3760430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.74/5.99 % (3760430)CaDiCaL version: 2.1.3
% 33.74/5.99 % (3760430)Termination reason: Refutation
% 33.74/5.99 % (3760430)Time elapsed: 2.303 s
% 33.74/5.99 % (3760430)Peak memory usage: 145 MB
% 33.74/5.99 % (3760430)Instructions burned: 2167 (million)
% 33.74/5.99 % (3760430)------------------------------
% 33.74/5.99 % (3760430)------------------------------
% 33.74/5.99 % (3760390)Success in time 4.722 s
% 33.74/5.99 % Vampire exiting
%------------------------------------------------------------------------------