%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM640+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 : n004.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 12:16:08 PM UTC 2026
% Result : Theorem 28.22s 4.90s
% Output : Refutation 29.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 85 ( 28 unt; 2 def)
% Number of atoms : 175 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 78 ~; 78 |; 1 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f25,axiom,
! [X0] : scratc1292412021d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f43,axiom,
scratc1291952835d_n_is = scratc1773292474d_e_is(scratc494368140nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f90,axiom,
! [X0] : scratc1773292474d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f137,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1892874294_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f142,axiom,
pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_bv)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz4b) ).
fof(f229,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
<=> pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__15) ).
fof(f231,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__17) ).
fof(f240,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__26) ).
fof(f241,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__27) ).
fof(f246,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),X1))),aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__32) ).
fof(f253,axiom,
! [X0,X1] : aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1) = aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__39) ).
fof(f315,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f316,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f320,conjecture,
pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f321,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f320]) ).
fof(f322,plain,
~ pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f321]) ).
fof(f339,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1892874294_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f340,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1892874294_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f339]) ).
fof(f424,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f316]) ).
fof(f425,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f424]) ).
fof(f443,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f450,plain,
! [X0] : scratc1292412021d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),
inference(cnf_transformation,[],[f25]) ).
fof(f476,plain,
scratc1291952835d_n_is = scratc1773292474d_e_is(scratc494368140nd_nat),
inference(cnf_transformation,[],[f43]) ).
fof(f540,plain,
! [X0] : scratc1773292474d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f90]) ).
fof(f622,plain,
! [X2,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1))
| ~ scratc1892874294_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2))
| ~ gg_TPTP_ind(X2) ),
inference(cnf_transformation,[],[f340]) ).
fof(f623,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f624,plain,
! [X0,X1] :
( scratc1892874294_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f625,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),X1)) ),
inference(cnf_transformation,[],[f340]) ).
fof(f631,plain,
pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_bv)),
inference(cnf_transformation,[],[f142]) ).
fof(f762,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(cnf_transformation,[],[f229]) ).
fof(f765,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f786,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(cnf_transformation,[],[f240]) ).
fof(f787,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f788,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(cnf_transformation,[],[f241]) ).
fof(f797,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),X1))),aa_TPTP_ind_TPTP_ind(scratc1292412021d_n_pl(X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f246]) ).
fof(f810,plain,
! [X0,X1] : aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),X1)) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1),
inference(cnf_transformation,[],[f253]) ).
fof(f935,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f315]) ).
fof(f936,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| ~ gg_TPTP_ind(X0)
| X0 = X1
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f425]) ).
fof(f940,plain,
~ pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f322]) ).
fof(f951,plain,
scratc1291952835d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f476,f540]) ).
fof(f995,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(definition_unfolding,[],[f786,f450,f450]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(definition_unfolding,[],[f797,f450,f450]) ).
fof(f1052,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f935]) ).
fof(f1053,definition,
sF25 = scratc1522259491all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1054,plain,
scratc1522259491all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1053]) ).
fof(f1055,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1056,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f1055]) ).
fof(f1057,plain,
~ pp(sF26),
inference(definition_folding,[],[f940,f1056,f1054]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_demodulation,[],[f1000,f810]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(forward_demodulation,[],[f787,f810]) ).
fof(f1063,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(forward_demodulation,[],[f788,f810]) ).
fof(f1065,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1291952835d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(forward_demodulation,[],[f995,f810]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_demodulation,[],[f1060,f951]) ).
fof(f1087,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(forward_demodulation,[],[f1062,f951]) ).
fof(f1088,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(forward_demodulation,[],[f1063,f951]) ).
fof(f1090,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1))),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(forward_demodulation,[],[f1065,f951]) ).
fof(f1094,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(superposition,[],[f765,f1054]) ).
fof(f1096,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,X0))
| ~ scratc1892874294_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(X0,X1))
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f622,f1054]) ).
fof(f1151,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)) ),
inference(resolution,[],[f1088,f936]) ).
fof(f1153,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1) ),
inference(forward_subsumption_resolution,[],[f1151,f443]) ).
fof(f1154,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc534036932bnd_ap,X0),aa_TPTP_ind_TPTP_ind(scratc604885422rdsucc,X1)) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f1153,f443]) ).
fof(f1155,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(resolution,[],[f1087,f1090]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1)) ),
inference(superposition,[],[f1085,f1154]) ).
fof(f1223,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ae,aa_TPTP_ind_TPTP_ind(scratc409680431d_plus,X0)),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f1214,f1052]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(resolution,[],[f1223,f1155]) ).
fof(f1366,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_bu,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(superposition,[],[f762,f1054]) ).
fof(f1367,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ~ scratc1892874294_is_of(X1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f1366,f1096]) ).
fof(f1369,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| ~ gg_TPTP_ind(X0)
| ~ scratc1892874294_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1367,f1224]) ).
fof(f1376,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ gg_TPTP_ind(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ scratc1892874294_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1369,f625]) ).
fof(f1378,plain,
! [X0,X1] :
( ~ scratc1892874294_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f1376,f623]) ).
fof(f1389,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1378,f624]) ).
fof(f1390,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(duplicate_literal_removal,[],[f1389]) ).
fof(f1391,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(forward_demodulation,[],[f1390,f1054]) ).
fof(f1392,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f1391,f1094]) ).
fof(f1727,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_bv)),
inference(superposition,[],[f631,f1054]) ).
fof(f1728,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ scratc1892874294_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f1727,f1096]) ).
fof(f1729,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc1892874294_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1728,f1392]) ).
fof(f1734,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| ~ scratc1892874294_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f1729,f625]) ).
fof(f1737,plain,
! [X0] :
( ~ scratc1892874294_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1522259491all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f1734,f623]) ).
fof(f1738,plain,
( pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f1737,f624]) ).
fof(f1739,plain,
pp(aa_fun171081125l_bool(scratc1522259491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f1738]) ).
fof(f1740,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab)),
inference(forward_demodulation,[],[f1739,f1054]) ).
fof(f1741,plain,
pp(sF26),
inference(forward_demodulation,[],[f1740,f1056]) ).
fof(f1742,plain,
$false,
inference(forward_subsumption_resolution,[],[f1741,f1057]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM640+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:53:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 12.43/2.64 % (3871766)Detected formulas, will run a generic FOF schedule.
% 12.43/2.64 % (3871775)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=406851789:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.43/2.64 % (3871775)Refutation not found, incomplete strategy
% 12.43/2.64 % (3871775)------------------------------
% 12.43/2.64 % (3871775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.64 % (3871775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.64 % (3871775)CaDiCaL version: 2.1.3
% 12.43/2.64 % (3871775)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.64 % (3871775)Time elapsed: 0.002 s
% 12.43/2.64 % (3871775)Peak memory usage: 88 MB
% 12.43/2.64 % (3871775)Instructions burned: 3 (million)
% 12.43/2.64 % (3871776)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1490482295:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.43/2.64 % (3871773)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=1303023108:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.43/2.64 % (3871772)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=1626201859:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.43/2.64 % (3871774)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3283863601:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.43/2.64 % (3871771)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=1235918787:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.43/2.64 % (3871774)Refutation not found, incomplete strategy
% 12.43/2.64 % (3871774)------------------------------
% 12.43/2.64 % (3871774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.64 % (3871774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.64 % (3871774)CaDiCaL version: 2.1.3
% 12.43/2.64 % (3871774)Termination reason: Refutation not found, incomplete strategy
% 12.43/2.64 % (3871774)Time elapsed: 0.002 s
% 12.43/2.64 % (3871774)Peak memory usage: 87 MB
% 12.43/2.64 % (3871774)Instructions burned: 1 (million)
% 12.43/2.64 % (3871777)dis-21_1_sil=8000:lcm=predicate:random_seed=3914176586: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)
% 12.43/2.64 % (3871776)Instruction limit reached!
% 12.43/2.64 % (3871776)------------------------------
% 12.43/2.64 % (3871776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.64 % (3871776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.64 % (3871776)CaDiCaL version: 2.1.3
% 12.43/2.64 % (3871776)Termination reason: Instruction limit
% 12.43/2.64 % (3871776)Termination phase: Saturation
% 12.43/2.64 % (3871776)Time elapsed: 0.094 s
% 12.43/2.64 % (3871776)Peak memory usage: 90 MB
% 12.43/2.64 % (3871776)Instructions burned: 139 (million)
% 12.43/2.64 % (3871777)Instruction limit reached!
% 12.43/2.64 % (3871777)------------------------------
% 12.43/2.64 % (3871777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.64 % (3871777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.64 % (3871777)CaDiCaL version: 2.1.3
% 12.43/2.64 % (3871777)Termination reason: Instruction limit
% 12.43/2.64 % (3871777)Termination phase: Saturation
% 12.43/2.64 % (3871777)Time elapsed: 0.080 s
% 12.43/2.64 % (3871777)Peak memory usage: 90 MB
% 12.43/2.64 % (3871777)Instructions burned: 130 (million)
% 12.43/2.64 % (3871775)------------------------------
% 12.43/2.64 % (3871775)------------------------------
% 12.43/2.64 % (3871787)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3406819895:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.43/2.64 % (3871785)lrs+10_1_sil=8000:sp=occurrence:random_seed=765900746:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.43/2.64 % (3871787)Refutation not found, incomplete strategy
% 12.43/2.64 % (3871787)------------------------------
% 12.43/2.64 % (3871787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.43/2.64 % (3871787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.43/2.64 % (3871787)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871787)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.74 % (3871787)Time elapsed: 0.004 s
% 19.91/3.74 % (3871787)Peak memory usage: 89 MB
% 19.91/3.74 % (3871787)Instructions burned: 8 (million)
% 19.91/3.74 % (3871785)Refutation not found, incomplete strategy
% 19.91/3.74 % (3871785)------------------------------
% 19.91/3.74 % (3871785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.74 % (3871785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.74 % (3871785)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871785)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.74 % (3871785)Time elapsed: 0.004 s
% 19.91/3.74 % (3871785)Peak memory usage: 89 MB
% 19.91/3.74 % (3871785)Instructions burned: 4 (million)
% 19.91/3.74 % (3871774)------------------------------
% 19.91/3.74 % (3871774)------------------------------
% 19.91/3.74 % (3871786)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3489187923:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.91/3.74 % (3871786)Refutation not found, incomplete strategy
% 19.91/3.74 % (3871786)------------------------------
% 19.91/3.74 % (3871786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.74 % (3871786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.74 % (3871786)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871786)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.74 % (3871786)Time elapsed: 0.004 s
% 19.91/3.74 % (3871786)Peak memory usage: 88 MB
% 19.91/3.74 % (3871786)Instructions burned: 5 (million)
% 19.91/3.74 % (3871787)------------------------------
% 19.91/3.74 % (3871787)------------------------------
% 19.91/3.74 % (3871790)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=2601827635:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.91/3.74 % (3871785)------------------------------
% 19.91/3.74 % (3871785)------------------------------
% 19.91/3.74 % (3871786)------------------------------
% 19.91/3.74 % (3871786)------------------------------
% 19.91/3.74 % (3871792)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2112377599:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.91/3.74 % (3871792)Refutation not found, incomplete strategy
% 19.91/3.74 % (3871792)------------------------------
% 19.91/3.74 % (3871792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.74 % (3871792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.74 % (3871792)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871792)Termination reason: Refutation not found, incomplete strategy
% 19.91/3.74 % (3871792)Time elapsed: 0.002 s
% 19.91/3.74 % (3871792)Peak memory usage: 89 MB
% 19.91/3.74 % (3871792)Instructions burned: 5 (million)
% 19.91/3.74 % (3871790)Instruction limit reached!
% 19.91/3.74 % (3871790)------------------------------
% 19.91/3.74 % (3871790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.74 % (3871790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.74 % (3871790)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871790)Termination reason: Instruction limit
% 19.91/3.74 % (3871790)Termination phase: Saturation
% 19.91/3.74 % (3871790)Time elapsed: 0.145 s
% 19.91/3.74 % (3871790)Peak memory usage: 93 MB
% 19.91/3.74 % (3871790)Instructions burned: 249 (million)
% 19.91/3.74 % (3871794)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2858944657:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.91/3.74 % (3871792)------------------------------
% 19.91/3.74 % (3871792)------------------------------
% 19.91/3.74 % (3871796)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2674444651:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.91/3.74 % (3871797)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=698514703:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.91/3.74 % (3871796)Instruction limit reached!
% 19.91/3.74 % (3871796)------------------------------
% 19.91/3.74 % (3871796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.91/3.74 % (3871796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.91/3.74 % (3871796)CaDiCaL version: 2.1.3
% 19.91/3.74 % (3871796)Termination reason: Instruction limit
% 19.91/3.74 % (3871796)Termination phase: Saturation
% 19.91/3.74 % (3871796)Time elapsed: 0.069 s
% 28.22/4.89 % (3871796)Peak memory usage: 90 MB
% 28.22/4.89 % (3871796)Instructions burned: 114 (million)
% 28.22/4.89 % (3871797)Instruction limit reached!
% 28.22/4.89 % (3871797)------------------------------
% 28.22/4.89 % (3871797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871797)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871797)Termination reason: Instruction limit
% 28.22/4.89 % (3871797)Termination phase: Saturation
% 28.22/4.89 % (3871797)Time elapsed: 0.062 s
% 28.22/4.89 % (3871797)Peak memory usage: 89 MB
% 28.22/4.89 % (3871797)Instructions burned: 127 (million)
% 28.22/4.89 % (3871799)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1065630004:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 28.22/4.89 % (3871799)Instruction limit reached!
% 28.22/4.89 % (3871799)------------------------------
% 28.22/4.89 % (3871799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871799)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871799)Termination reason: Instruction limit
% 28.22/4.89 % (3871799)Termination phase: Saturation
% 28.22/4.89 % (3871799)Time elapsed: 0.062 s
% 28.22/4.89 % (3871799)Peak memory usage: 89 MB
% 28.22/4.89 % (3871799)Instructions burned: 114 (million)
% 28.22/4.89 % (3871802)lrs+10_1_sil=8000:sp=occurrence:random_seed=2506250534:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 28.22/4.89 % (3871803)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3869340104:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 28.22/4.89 % (3871803)Refutation not found, incomplete strategy
% 28.22/4.89 % (3871803)------------------------------
% 28.22/4.89 % (3871803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871803)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871803)Termination reason: Refutation not found, incomplete strategy
% 28.22/4.89 % (3871803)Time elapsed: 0.023 s
% 28.22/4.89 % (3871803)Peak memory usage: 89 MB
% 28.22/4.89 % (3871803)Instructions burned: 42 (million)
% 28.22/4.89 % (3871805)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3312226191:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 28.22/4.89 % (3871803)------------------------------
% 28.22/4.89 % (3871803)------------------------------
% 28.22/4.89 % (3871809)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2566893408:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 28.22/4.89 % (3871802)Instruction limit reached!
% 28.22/4.89 % (3871802)------------------------------
% 28.22/4.89 % (3871802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871802)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871802)Termination reason: Instruction limit
% 28.22/4.89 % (3871802)Termination phase: Saturation
% 28.22/4.89 % (3871802)Time elapsed: 0.531 s
% 28.22/4.89 % (3871802)Peak memory usage: 98 MB
% 28.22/4.89 % (3871802)Instructions burned: 908 (million)
% 28.22/4.89 % (3871809)Instruction limit reached!
% 28.22/4.89 % (3871809)------------------------------
% 28.22/4.89 % (3871809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871809)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871809)Termination reason: Instruction limit
% 28.22/4.89 % (3871809)Termination phase: Saturation
% 28.22/4.89 % (3871809)Time elapsed: 0.073 s
% 28.22/4.89 % (3871809)Peak memory usage: 91 MB
% 28.22/4.89 % (3871809)Instructions burned: 134 (million)
% 28.22/4.89 % (3871811)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1395474293:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 28.22/4.89 % (3871811)Refutation not found, incomplete strategy
% 28.22/4.89 % (3871811)------------------------------
% 28.22/4.89 % (3871811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871811)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871811)Termination reason: Refutation not found, incomplete strategy
% 28.22/4.89 % (3871811)Time elapsed: 0.015 s
% 28.22/4.89 % (3871811)Peak memory usage: 89 MB
% 28.22/4.89 % (3871811)Instructions burned: 28 (million)
% 28.22/4.89 % (3871812)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2714033010:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 28.22/4.89 % (3871811)------------------------------
% 28.22/4.89 % (3871811)------------------------------
% 28.22/4.89 % (3871815)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=377220385:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 28.22/4.89 % (3871815)Instruction limit reached!
% 28.22/4.89 % (3871815)------------------------------
% 28.22/4.89 % (3871815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871815)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871815)Termination reason: Instruction limit
% 28.22/4.89 % (3871815)Termination phase: Saturation
% 28.22/4.89 % (3871815)Time elapsed: 0.067 s
% 28.22/4.89 % (3871815)Peak memory usage: 92 MB
% 28.22/4.89 % (3871815)Instructions burned: 125 (million)
% 28.22/4.89 % (3871794)Instruction limit reached!
% 28.22/4.89 % (3871794)------------------------------
% 28.22/4.89 % (3871794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.89 % (3871794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.89 % (3871794)CaDiCaL version: 2.1.3
% 28.22/4.89 % (3871794)Termination reason: Instruction limit
% 28.22/4.89 % (3871794)Termination phase: Saturation
% 28.22/4.89 % (3871794)Time elapsed: 1.450 s
% 28.22/4.89 % (3871794)Peak memory usage: 142 MB
% 28.22/4.89 % (3871794)Instructions burned: 2350 (million)
% 28.22/4.89 % (3871817)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2935514749:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 28.22/4.89 % (3871818)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=138837308:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 28.22/4.90 % (3871818)Refutation not found, incomplete strategy
% 28.22/4.90 % (3871818)------------------------------
% 28.22/4.90 % (3871818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.90 % (3871818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.90 % (3871818)CaDiCaL version: 2.1.3
% 28.22/4.90 % (3871818)Termination reason: Refutation not found, incomplete strategy
% 28.22/4.90 % (3871818)Time elapsed: 0.002 s
% 28.22/4.90 % (3871818)Peak memory usage: 88 MB
% 28.22/4.90 % (3871818)Instructions burned: 1 (million)
% 28.22/4.90 % (3871817)Instruction limit reached!
% 28.22/4.90 % (3871817)------------------------------
% 28.22/4.90 % (3871817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.90 % (3871817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.90 % (3871817)CaDiCaL version: 2.1.3
% 28.22/4.90 % (3871817)Termination reason: Instruction limit
% 28.22/4.90 % (3871817)Termination phase: Saturation
% 28.22/4.90 % (3871817)Time elapsed: 0.077 s
% 28.22/4.90 % (3871817)Peak memory usage: 92 MB
% 28.22/4.90 % (3871817)Instructions burned: 134 (million)
% 28.22/4.90 % (3871821)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2511154924:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 28.22/4.90 % (3871821)Refutation not found, incomplete strategy
% 28.22/4.90 % (3871821)------------------------------
% 28.22/4.90 % (3871821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.90 % (3871821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.90 % (3871821)CaDiCaL version: 2.1.3
% 28.22/4.90 % (3871821)Termination reason: Refutation not found, incomplete strategy
% 28.22/4.90 % (3871821)Time elapsed: 0.006 s
% 28.22/4.90 % (3871821)Peak memory usage: 89 MB
% 28.22/4.90 % (3871821)Instructions burned: 9 (million)
% 28.22/4.90 % (3871818)------------------------------
% 28.22/4.90 % (3871818)------------------------------
% 28.22/4.90 % (3871823)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=1367270556:i=6060:aac=none:ins=25_2973 on theBenchmark for (2973ds/6060Mi)
% 28.22/4.90 % (3871821)------------------------------
% 28.22/4.90 % (3871821)------------------------------
% 28.22/4.90 % (3871825)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=3902875441:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2971 on theBenchmark for (2971ds/150Mi)
% 28.22/4.90 % (3871825)Instruction limit reached!
% 28.22/4.90 % (3871825)------------------------------
% 28.22/4.90 % (3871825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.22/4.90 % (3871825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.22/4.90 % (3871825)CaDiCaL version: 2.1.3
% 28.22/4.90 % (3871825)Termination reason: Instruction limit
% 28.22/4.90 % (3871825)Termination phase: Saturation
% 28.22/4.90 % (3871825)Time elapsed: 0.079 s
% 28.22/4.90 % (3871825)Peak memory usage: 90 MB
% 28.22/4.90 % (3871825)Instructions burned: 151 (million)
% 28.22/4.90 % (3871827)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3575520826:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 28.22/4.90 % (3871823)First to succeed.
% 28.22/4.90 % (3871823)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3871766"
% 28.22/4.90 % (3871823)Refutation found. Thanks to Tanya!
% 28.22/4.90 % SZS status Theorem for theBenchmark
% 28.22/4.90 % SZS output start Proof for theBenchmark
% See solution above
% 29.04/5.09 % (3871823)------------------------------
% 29.04/5.09 % (3871823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.04/5.09 % (3871823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.04/5.09 % (3871823)CaDiCaL version: 2.1.3
% 29.04/5.09 % (3871823)Termination reason: Refutation
% 29.04/5.09 % (3871823)Time elapsed: 0.936 s
% 29.04/5.09 % (3871823)Peak memory usage: 137 MB
% 29.04/5.09 % (3871823)Instructions burned: 1443 (million)
% 29.04/5.09 % (3871823)------------------------------
% 29.04/5.09 % (3871823)------------------------------
% 29.04/5.09 % (3871766)Success in time 4.031 s
% 29.04/5.09 % Vampire exiting
%------------------------------------------------------------------------------