%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM789+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:17:02 PM UTC 2026
% Result : Theorem 7.27s 2.81s
% Output : Refutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 69 ( 12 unt; 0 def)
% Number of atoms : 203 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 210 ( 76 ~; 100 |; 20 &)
% ( 10 <=>; 4 =>; 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 : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 100 ( 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,axiom,
! [X0] :
( pp(scratc1721209534_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2059352893nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f191,axiom,
scratc2059352893nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f222,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc478805104_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f228,axiom,
pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ck)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz81c) ).
fof(f767,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ck,X0))
<=> pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__238) ).
fof(f772,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__243) ).
fof(f834,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1))
=> pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__305) ).
fof(f837,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1))
=> pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__308) ).
fof(f1277,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f1278,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f1280,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f1287,conjecture,
pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1288,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1287]) ).
fof(f1289,plain,
~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1288]) ).
fof(f1305,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc478805104_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1306,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc478805104_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1305]) ).
fof(f1395,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1))
<=> ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f834]) ).
fof(f1398,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)) ) ),
inference(ennf_transformation,[],[f837]) ).
fof(f1709,plain,
! [X0] :
( ( pp(scratc1721209534_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2059352893nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2059352893nd_imp,X0),fFalse))
| ~ pp(scratc1721209534_d_not(X0)) ) ),
inference(nnf_transformation,[],[f190]) ).
fof(f1732,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc478805104_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc478805104_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1306]) ).
fof(f1733,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc478805104_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc478805104_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1)) ) ),
inference(rectify,[],[f1732]) ).
fof(f1734,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc478805104_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc478805104_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1733]) ).
fof(f1991,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ck,X0))
| ~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,X0))) )
& ( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ck,X0)) ) ),
inference(nnf_transformation,[],[f767]) ).
fof(f1996,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f772]) ).
fof(f2087,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1))
| ( ~ pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)) ) )
& ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1)) ) ),
inference(nnf_transformation,[],[f1395]) ).
fof(f2088,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1))
| ( ~ pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)) ) )
& ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1)) ) ),
inference(flattening,[],[f2087]) ).
fof(f2093,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)) ) )
& ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1398]) ).
fof(f2094,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)) ) )
& ( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f2093]) ).
fof(f2932,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2059352893nd_imp,X0),fFalse))
| ~ pp(scratc1721209534_d_not(X0)) ),
inference(cnf_transformation,[],[f1709]) ).
fof(f2933,plain,
! [X0] :
( pp(scratc1721209534_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc2059352893nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f1709]) ).
fof(f2934,plain,
scratc2059352893nd_imp = fimplies,
inference(cnf_transformation,[],[f191]) ).
fof(f2996,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
| ~ scratc478805104_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f1734]) ).
fof(f2997,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1734]) ).
fof(f2998,plain,
! [X0,X1] :
( scratc478805104_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1734]) ).
fof(f2999,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1734]) ).
fof(f3006,plain,
pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ck)),
inference(cnf_transformation,[],[f228]) ).
fof(f3812,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ck,X0))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,X0))) ),
inference(cnf_transformation,[],[f1991]) ).
fof(f3823,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1996]) ).
fof(f3973,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1))
| pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1))) ),
inference(cnf_transformation,[],[f2088]) ).
fof(f3983,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),X1)) ),
inference(cnf_transformation,[],[f2094]) ).
fof(f3984,plain,
! [X0,X1] :
( ~ pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f2094]) ).
fof(f5082,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f1277]) ).
fof(f5083,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1278]) ).
fof(f5085,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f1280]) ).
fof(f5092,plain,
~ pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1289]) ).
fof(f5198,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc1721209534_d_not(X0)) ),
inference(definition_unfolding,[],[f2933,f2934]) ).
fof(f5199,plain,
! [X0] :
( ~ pp(scratc1721209534_d_not(X0))
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f2932,f2934]) ).
fof(f5543,plain,
! [X0] :
( pp(scratc1721209534_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f5198,f5085]) ).
fof(f5600,plain,
! [X0] :
( ~ scratc478805104_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ck,X0)) ),
inference(resolution,[],[f3006,f2996]) ).
fof(f5601,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ck,sK12(aTP_Lamm_a,X0)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f5600,f2998]) ).
fof(f5602,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ck,sK12(aTP_Lamm_a,X0)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f5601,f2997]) ).
fof(f5603,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cj,sK12(aTP_Lamm_a,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f5602,f3812]) ).
fof(f5606,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cj,sK12(aTP_Lamm_a,X0)),X1))
| ~ scratc478805104_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f5603,f2996]) ).
fof(f5700,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3983,f2999]) ).
fof(f5719,plain,
! [X0,X1] :
( ~ scratc478805104_is_of(X1,aTP_Lamm_a)
| pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),X1))
| ~ gg_TPTP_ind(X1)
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f3973,f5606]) ).
fof(f5975,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),X1)) ),
inference(resolution,[],[f3984,f5543]) ).
fof(f5976,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f5975,f2999]) ).
fof(f6034,plain,
! [X0,X1] :
( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,X1))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X1)) ),
inference(resolution,[],[f5719,f2998]) ).
fof(f6035,plain,
! [X0,X1] :
( pp(scratc1721209534_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X1)) ),
inference(forward_subsumption_resolution,[],[f6034,f2997]) ).
fof(f6037,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))),fFalse))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))) ),
inference(resolution,[],[f6035,f5199]) ).
fof(f6040,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
| pp(fFalse) ),
inference(resolution,[],[f6037,f5083]) ).
fof(f6041,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc146989168moreis,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X1))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,X1))) ),
inference(forward_subsumption_resolution,[],[f6040,f5082]) ).
fof(f6044,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0)))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0)))) ),
inference(resolution,[],[f6041,f5976]) ).
fof(f6045,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1016958378t_less,sK12(aTP_Lamm_a,X0)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))) ),
inference(duplicate_literal_removal,[],[f6044]) ).
fof(f6048,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,X0))))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f6045,f5700]) ).
fof(f6049,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,X0)))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f6048,f3823]) ).
fof(f6053,plain,
( pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f6049,f2999]) ).
fof(f6054,plain,
pp(aa_fun171081125l_bool(scratc553640041all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f6053]) ).
fof(f6055,plain,
$false,
inference(forward_subsumption_resolution,[],[f6054,f5092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM789+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n002.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 21:27:22 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.13/2.33 % (3897985)Detected formulas, will run a generic FOF schedule.
% 10.13/2.33 % (3897994)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3626991307:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.13/2.33 % (3897994)Refutation not found, incomplete strategy
% 10.13/2.33 % (3897994)------------------------------
% 10.13/2.33 % (3897994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.33 % (3897994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.33 % (3897994)CaDiCaL version: 2.1.3
% 10.13/2.33 % (3897994)Termination reason: Refutation not found, incomplete strategy
% 10.13/2.33 % (3897994)Time elapsed: 0.003 s
% 10.13/2.33 % (3897994)Peak memory usage: 89 MB
% 10.13/2.33 % (3897994)Instructions burned: 7 (million)
% 10.13/2.33 % (3897995)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=951712350:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.13/2.33 % (3897993)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=940857440:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.13/2.34 % (3897990)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=414644716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.13/2.34 % (3897992)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=948103030:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.13/2.34 % (3897991)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=3978726765:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.13/2.34 % (3897993)Refutation not found, incomplete strategy
% 10.13/2.34 % (3897993)------------------------------
% 10.13/2.34 % (3897993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.34 % (3897993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.34 % (3897993)CaDiCaL version: 2.1.3
% 10.13/2.34 % (3897993)Termination reason: Refutation not found, incomplete strategy
% 10.13/2.34 % (3897993)Time elapsed: 0.005 s
% 10.13/2.34 % (3897993)Peak memory usage: 89 MB
% 10.13/2.34 % (3897993)Instructions burned: 6 (million)
% 10.13/2.34 % (3897996)dis-21_1_sil=8000:lcm=predicate:random_seed=1063797420: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)
% 10.13/2.34 % (3897995)Instruction limit reached!
% 10.13/2.34 % (3897995)------------------------------
% 10.13/2.34 % (3897995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.34 % (3897995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.34 % (3897995)CaDiCaL version: 2.1.3
% 10.13/2.34 % (3897995)Termination reason: Instruction limit
% 10.13/2.34 % (3897995)Termination phase: Saturation
% 10.13/2.34 % (3897995)Time elapsed: 0.062 s
% 10.13/2.34 % (3897995)Peak memory usage: 91 MB
% 10.13/2.34 % (3897995)Instructions burned: 140 (million)
% 10.13/2.34 % (3897996)Instruction limit reached!
% 10.13/2.34 % (3897996)------------------------------
% 10.13/2.34 % (3897996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.34 % (3897996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.34 % (3897996)CaDiCaL version: 2.1.3
% 10.13/2.34 % (3897996)Termination reason: Instruction limit
% 10.13/2.34 % (3897996)Termination phase: Saturation
% 10.13/2.34 % (3897996)Time elapsed: 0.056 s
% 10.13/2.34 % (3897996)Peak memory usage: 90 MB
% 10.13/2.34 % (3897996)Instructions burned: 131 (million)
% 10.13/2.34 % (3897994)------------------------------
% 10.13/2.34 % (3897994)------------------------------
% 10.13/2.34 % (3898004)lrs+10_1_sil=8000:sp=occurrence:random_seed=976853678:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.13/2.34 % (3898004)Refutation not found, incomplete strategy
% 10.13/2.34 % (3898004)------------------------------
% 10.13/2.34 % (3898004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.13/2.34 % (3898004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.13/2.34 % (3898004)CaDiCaL version: 2.1.3
% 10.13/2.34 % (3898004)Termination reason: Refutation not found, incomplete strategy
% 10.13/2.34 % (3898004)Time elapsed: 0.005 s
% 10.13/2.34 % (3898004)Peak memory usage: 89 MB
% 7.27/2.81 % (3898004)Instructions burned: 6 (million)
% 7.27/2.81 % (3898005)lrs+10_1_sil=32000:urr=on:br=off:random_seed=194128938:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.27/2.81 % (3898005)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898005)------------------------------
% 7.27/2.81 % (3898005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898005)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898005)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898005)Time elapsed: 0.010 s
% 7.27/2.81 % (3898005)Peak memory usage: 89 MB
% 7.27/2.81 % (3898005)Instructions burned: 21 (million)
% 7.27/2.81 % (3898006)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4203667028:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.27/2.81 % (3898006)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898006)------------------------------
% 7.27/2.81 % (3898006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898006)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898006)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898006)Time elapsed: 0.005 s
% 7.27/2.81 % (3898006)Peak memory usage: 90 MB
% 7.27/2.81 % (3898006)Instructions burned: 13 (million)
% 7.27/2.81 % (3897993)------------------------------
% 7.27/2.81 % (3897993)------------------------------
% 7.27/2.81 % (3898006)------------------------------
% 7.27/2.81 % (3898006)------------------------------
% 7.27/2.81 % (3898010)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=3075682317:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.27/2.81 % (3898004)------------------------------
% 7.27/2.81 % (3898004)------------------------------
% 7.27/2.81 % (3898005)------------------------------
% 7.27/2.81 % (3898005)------------------------------
% 7.27/2.81 % (3898011)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1692583642:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.27/2.81 % (3898011)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898011)------------------------------
% 7.27/2.81 % (3898011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898011)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898011)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898011)Time elapsed: 0.005 s
% 7.27/2.81 % (3898011)Peak memory usage: 90 MB
% 7.27/2.81 % (3898011)Instructions burned: 15 (million)
% 7.27/2.81 % (3898010)Instruction limit reached!
% 7.27/2.81 % (3898010)------------------------------
% 7.27/2.81 % (3898010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898010)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898010)Termination reason: Instruction limit
% 7.27/2.81 % (3898010)Termination phase: Saturation
% 7.27/2.81 % (3898010)Time elapsed: 0.130 s
% 7.27/2.81 % (3898010)Peak memory usage: 96 MB
% 7.27/2.81 % (3898010)Instructions burned: 248 (million)
% 7.27/2.81 % (3898014)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2603353614:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.27/2.81 % (3898013)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3189267624:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.27/2.81 % (3898014)Instruction limit reached!
% 7.27/2.81 % (3898014)------------------------------
% 7.27/2.81 % (3898014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898014)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898014)Termination reason: Instruction limit
% 7.27/2.81 % (3898014)Termination phase: Saturation
% 7.27/2.81 % (3898014)Time elapsed: 0.053 s
% 7.27/2.81 % (3898014)Peak memory usage: 90 MB
% 7.27/2.81 % (3898014)Instructions burned: 113 (million)
% 7.27/2.81 % (3898011)------------------------------
% 7.27/2.81 % (3898011)------------------------------
% 7.27/2.81 % (3898016)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2825870186:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.27/2.81 % (3898016)Instruction limit reached!
% 7.27/2.81 % (3898016)------------------------------
% 7.27/2.81 % (3898016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898016)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898016)Termination reason: Instruction limit
% 7.27/2.81 % (3898016)Termination phase: Property scanning
% 7.27/2.81 % (3898016)Time elapsed: 0.060 s
% 7.27/2.81 % (3898016)Peak memory usage: 89 MB
% 7.27/2.81 % (3898016)Instructions burned: 130 (million)
% 7.27/2.81 % (3898020)lrs+10_1_sil=8000:sp=occurrence:random_seed=1846731344:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.27/2.81 % (3898019)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1687474481:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.27/2.81 % (3898019)Instruction limit reached!
% 7.27/2.81 % (3898019)------------------------------
% 7.27/2.81 % (3898019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898019)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898019)Termination reason: Instruction limit
% 7.27/2.81 % (3898019)Termination phase: Saturation
% 7.27/2.81 % (3898019)Time elapsed: 0.059 s
% 7.27/2.81 % (3898019)Peak memory usage: 90 MB
% 7.27/2.81 % (3898019)Instructions burned: 116 (million)
% 7.27/2.81 % (3898022)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1726427926:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.27/2.81 % (3898025)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2795710421:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.27/2.81 % (3898022)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898022)------------------------------
% 7.27/2.81 % (3898022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898022)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898022)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898022)Time elapsed: 0.094 s
% 7.27/2.81 % (3898022)Peak memory usage: 93 MB
% 7.27/2.81 % (3898022)Instructions burned: 192 (million)
% 7.27/2.81 % (3898020)Instruction limit reached!
% 7.27/2.81 % (3898020)------------------------------
% 7.27/2.81 % (3898020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898020)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898020)Termination reason: Instruction limit
% 7.27/2.81 % (3898020)Termination phase: Saturation
% 7.27/2.81 % (3898020)Time elapsed: 0.299 s
% 7.27/2.81 % (3898020)Peak memory usage: 102 MB
% 7.27/2.81 % (3898020)Instructions burned: 909 (million)
% 7.27/2.81 % (3898028)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4060773020:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 7.27/2.81 % (3898028)Instruction limit reached!
% 7.27/2.81 % (3898028)------------------------------
% 7.27/2.81 % (3898028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898028)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898028)Termination reason: Instruction limit
% 7.27/2.81 % (3898028)Termination phase: Saturation
% 7.27/2.81 % (3898028)Time elapsed: 0.034 s
% 7.27/2.81 % (3898028)Peak memory usage: 91 MB
% 7.27/2.81 % (3898028)Instructions burned: 137 (million)
% 7.27/2.81 % (3898022)------------------------------
% 7.27/2.81 % (3898022)------------------------------
% 7.27/2.81 % (3898030)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=700643657:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 7.27/2.81 % (3898030)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898030)------------------------------
% 7.27/2.81 % (3898030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898030)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898030)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898030)Time elapsed: 0.012 s
% 7.27/2.81 % (3898030)Peak memory usage: 90 MB
% 7.27/2.81 % (3898030)Instructions burned: 40 (million)
% 7.27/2.81 % (3898031)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2500986117:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 7.27/2.81 % (3898030)------------------------------
% 7.27/2.81 % (3898030)------------------------------
% 7.27/2.81 % (3897991)First to succeed.
% 7.27/2.81 % (3897991)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3897985"
% 7.27/2.81 % (3898034)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=3371952177:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 7.27/2.81 % (3898034)Refutation not found, incomplete strategy
% 7.27/2.81 % (3898034)------------------------------
% 7.27/2.81 % (3898034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.27/2.81 % (3898034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.27/2.81 % (3898034)CaDiCaL version: 2.1.3
% 7.27/2.81 % (3898034)Termination reason: Refutation not found, incomplete strategy
% 7.27/2.81 % (3898034)Time elapsed: 0.008 s
% 7.27/2.81 % (3898034)Peak memory usage: 90 MB
% 7.27/2.81 % (3898034)Instructions burned: 28 (million)
% 7.27/2.81 % (3898034)------------------------------
% 7.27/2.81 % (3898034)------------------------------
% 7.27/2.81 % (3897991)Refutation found. Thanks to Tanya!
% 7.27/2.81 % SZS status Theorem for theBenchmark
% 7.27/2.81 % SZS output start Proof for theBenchmark
% See solution above
% 13.90/3.00 % (3897991)------------------------------
% 13.90/3.00 % (3897991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.90/3.00 % (3897991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.90/3.00 % (3897991)CaDiCaL version: 2.1.3
% 13.90/3.00 % (3897991)Termination reason: Refutation
% 13.90/3.00 % (3897991)Time elapsed: 1.468 s
% 13.90/3.00 % (3897991)Peak memory usage: 163 MB
% 13.90/3.00 % (3897991)Instructions burned: 2446 (million)
% 13.90/3.00 % (3897991)------------------------------
% 13.90/3.00 % (3897991)------------------------------
% 13.90/3.00 % (3897985)Success in time 1.942 s
% 13.90/3.00 % Vampire exiting
%------------------------------------------------------------------------------