%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM642+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 : n018.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 25.30s 4.48s
% Output : Refutation 26.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 16
% Syntax : Number of formulae : 76 ( 28 unt; 2 def)
% Number of atoms : 157 ( 22 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 151 ( 70 ~; 70 |; 1 &)
% ( 7 <=>; 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 : 23 ( 23 usr; 13 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f25,axiom,
! [X0] : scratc939449903d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f43,axiom,
scratc938990717d_n_is = scratc1420330356d_e_is(scratc1987144774nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f90,axiom,
! [X0] : scratc1420330356d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f137,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2099588348_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f142,axiom,
pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_bv)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz4d) ).
fof(f233,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
<=> pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__17) ).
fof(f235,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__19) ).
fof(f243,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(X0),X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__27) ).
fof(f250,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(X0),X1))),aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0)),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__34) ).
fof(f258,axiom,
! [X0,X1] : aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1) = aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,X0),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__42) ).
fof(f320,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f321,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/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f325,conjecture,
pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f326,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f325]) ).
fof(f327,plain,
~ pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f326]) ).
fof(f344,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2099588348_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f345,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2099588348_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f344]) ).
fof(f429,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,[],[f321]) ).
fof(f430,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,[],[f429]) ).
fof(f448,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f455,plain,
! [X0] : scratc939449903d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),
inference(cnf_transformation,[],[f25]) ).
fof(f481,plain,
scratc938990717d_n_is = scratc1420330356d_e_is(scratc1987144774nd_nat),
inference(cnf_transformation,[],[f43]) ).
fof(f545,plain,
! [X0] : scratc1420330356d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f90]) ).
fof(f627,plain,
! [X2,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1))
| ~ scratc2099588348_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2))
| ~ gg_TPTP_ind(X2) ),
inference(cnf_transformation,[],[f345]) ).
fof(f628,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f629,plain,
! [X0,X1] :
( scratc2099588348_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f630,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),X1)) ),
inference(cnf_transformation,[],[f345]) ).
fof(f636,plain,
pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_bv)),
inference(cnf_transformation,[],[f142]) ).
fof(f773,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bu,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f776,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f795,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(cnf_transformation,[],[f243]) ).
fof(f808,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(X0),X1))),aa_TPTP_ind_TPTP_ind(scratc939449903d_n_pl(aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0)),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f250]) ).
fof(f823,plain,
! [X0,X1] : aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,X0),X1)) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(X0),X1),
inference(cnf_transformation,[],[f258]) ).
fof(f948,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f320]) ).
fof(f949,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,[],[f430]) ).
fof(f953,plain,
~ pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f327]) ).
fof(f964,plain,
scratc938990717d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f481,f545]) ).
fof(f1008,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)),aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(definition_unfolding,[],[f795,f455,f455]) ).
fof(f1015,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(definition_unfolding,[],[f808,f455,f455]) ).
fof(f1069,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f948]) ).
fof(f1070,definition,
sF25 = scratc398250717all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1071,plain,
scratc398250717all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1070]) ).
fof(f1072,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1073,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f1072]) ).
fof(f1074,plain,
~ pp(sF26),
inference(definition_folding,[],[f953,f1073,f1071]) ).
fof(f1079,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_demodulation,[],[f1015,f823]) ).
fof(f1086,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc938990717d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(forward_demodulation,[],[f1008,f823]) ).
fof(f1106,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(scratc1957229045d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_demodulation,[],[f1079,f964]) ).
fof(f1113,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1)),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(forward_demodulation,[],[f1086,f964]) ).
fof(f1115,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,[],[f776,f1071]) ).
fof(f1117,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,X0))
| ~ scratc2099588348_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(X0,X1))
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f627,f1071]) ).
fof(f1207,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,[],[f773,f1071]) ).
fof(f1208,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ~ scratc2099588348_is_of(X1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f1207,f1117]) ).
fof(f1279,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)) ),
inference(resolution,[],[f1113,f949]) ).
fof(f1285,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1) ),
inference(forward_subsumption_resolution,[],[f1279,f448]) ).
fof(f1286,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc542080138bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,aa_TPTP_ind_TPTP_ind(scratc1628360296rdsucc,X0))),X1) = aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_plus,X0)),X1)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bu,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f1285,f448]) ).
fof(f1294,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(scratc1957229045d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aTP_Lamm_ad(aa_TPTP_ind_TPTP_ind(scratc1957229045d_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_bu,X0),X1)) ),
inference(superposition,[],[f1106,f1286]) ).
fof(f1299,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(forward_subsumption_resolution,[],[f1294,f1069]) ).
fof(f1300,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ scratc2099588348_is_of(X1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f1299,f1208]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ scratc2099588348_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f1300,f630]) ).
fof(f1305,plain,
! [X0,X1] :
( ~ scratc2099588348_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X1))
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(forward_subsumption_resolution,[],[f1302,f628]) ).
fof(f1306,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1305,f629]) ).
fof(f1307,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(duplicate_literal_removal,[],[f1306]) ).
fof(f1308,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,[],[f1307,f1071]) ).
fof(f1309,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f1308,f1115]) ).
fof(f1673,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_bv)),
inference(superposition,[],[f636,f1071]) ).
fof(f1674,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bv,X0))
| ~ scratc2099588348_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f1673,f1117]) ).
fof(f1675,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc2099588348_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1674,f1309]) ).
fof(f1680,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| ~ scratc2099588348_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f1675,f630]) ).
fof(f1683,plain,
! [X0] :
( ~ scratc2099588348_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc398250717all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f1680,f628]) ).
fof(f1684,plain,
( pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f1683,f629]) ).
fof(f1685,plain,
pp(aa_fun171081125l_bool(scratc398250717all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f1684]) ).
fof(f1686,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab)),
inference(forward_demodulation,[],[f1685,f1071]) ).
fof(f1687,plain,
pp(sF26),
inference(forward_demodulation,[],[f1686,f1073]) ).
fof(f1688,plain,
$false,
inference(forward_subsumption_resolution,[],[f1687,f1074]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM642+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:57:09 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.13/2.45 % (2712934)Detected formulas, will run a generic FOF schedule.
% 11.13/2.45 % (2712942)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1220605922:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.13/2.45 % (2712942)Refutation not found, incomplete strategy
% 11.13/2.45 % (2712942)------------------------------
% 11.13/2.45 % (2712942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.45 % (2712942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.45 % (2712942)CaDiCaL version: 2.1.3
% 11.13/2.45 % (2712942)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.45 % (2712942)Time elapsed: 0.001 s
% 11.13/2.45 % (2712942)Peak memory usage: 87 MB
% 11.13/2.45 % (2712942)Instructions burned: 1 (million)
% 11.13/2.45 % (2712943)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1796618287:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.13/2.45 % (2712943)Refutation not found, incomplete strategy
% 11.13/2.45 % (2712943)------------------------------
% 11.13/2.45 % (2712943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.45 % (2712943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.45 % (2712943)CaDiCaL version: 2.1.3
% 11.13/2.45 % (2712943)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.45 % (2712943)Time elapsed: 0.002 s
% 11.13/2.45 % (2712943)Peak memory usage: 88 MB
% 11.13/2.45 % (2712943)Instructions burned: 2 (million)
% 11.13/2.45 % (2712940)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=1796573350:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.13/2.45 % (2712941)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=2166992869:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.13/2.45 % (2712939)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=211845821:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.13/2.45 % (2712945)dis-21_1_sil=8000:lcm=predicate:random_seed=1482403605:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.13/2.45 % (2712944)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3723485127:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.13/2.45 % (2712945)Instruction limit reached!
% 11.13/2.45 % (2712945)------------------------------
% 11.13/2.45 % (2712945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.45 % (2712945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.45 % (2712945)CaDiCaL version: 2.1.3
% 11.13/2.45 % (2712945)Termination reason: Instruction limit
% 11.13/2.45 % (2712945)Termination phase: Saturation
% 11.13/2.45 % (2712945)Time elapsed: 0.080 s
% 11.13/2.45 % (2712945)Peak memory usage: 90 MB
% 11.13/2.45 % (2712945)Instructions burned: 131 (million)
% 11.13/2.45 % (2712944)Instruction limit reached!
% 11.13/2.45 % (2712944)------------------------------
% 11.13/2.45 % (2712944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.45 % (2712944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.45 % (2712944)CaDiCaL version: 2.1.3
% 11.13/2.45 % (2712944)Termination reason: Instruction limit
% 11.13/2.45 % (2712944)Termination phase: Saturation
% 11.13/2.45 % (2712944)Time elapsed: 0.094 s
% 11.13/2.45 % (2712944)Peak memory usage: 90 MB
% 11.13/2.45 % (2712944)Instructions burned: 140 (million)
% 11.13/2.45 % (2712942)------------------------------
% 11.13/2.45 % (2712942)------------------------------
% 11.13/2.45 % (2712955)lrs+1011_1_sil=32000:sp=occurrence:random_seed=693651828:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.13/2.45 % (2712955)Refutation not found, incomplete strategy
% 11.13/2.45 % (2712955)------------------------------
% 11.13/2.45 % (2712955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.13/2.45 % (2712955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.13/2.45 % (2712955)CaDiCaL version: 2.1.3
% 11.13/2.45 % (2712955)Termination reason: Refutation not found, incomplete strategy
% 11.13/2.45 % (2712955)Time elapsed: 0.004 s
% 11.13/2.45 % (2712955)Peak memory usage: 89 MB
% 18.75/3.57 % (2712955)Instructions burned: 9 (million)
% 18.75/3.57 % (2712953)lrs+10_1_sil=8000:sp=occurrence:random_seed=1256352884:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 18.75/3.57 % (2712953)Refutation not found, incomplete strategy
% 18.75/3.57 % (2712953)------------------------------
% 18.75/3.57 % (2712953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.57 % (2712953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.57 % (2712953)CaDiCaL version: 2.1.3
% 18.75/3.57 % (2712953)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.57 % (2712953)Time elapsed: 0.002 s
% 18.75/3.57 % (2712953)Peak memory usage: 88 MB
% 18.75/3.57 % (2712953)Instructions burned: 1 (million)
% 18.75/3.57 % (2712943)------------------------------
% 18.75/3.57 % (2712943)------------------------------
% 18.75/3.57 % (2712954)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3639031148:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 18.75/3.57 % (2712954)Refutation not found, incomplete strategy
% 18.75/3.57 % (2712954)------------------------------
% 18.75/3.57 % (2712954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.57 % (2712954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.57 % (2712954)CaDiCaL version: 2.1.3
% 18.75/3.57 % (2712954)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.57 % (2712954)Time elapsed: 0.003 s
% 18.75/3.57 % (2712954)Peak memory usage: 88 MB
% 18.75/3.57 % (2712954)Instructions burned: 5 (million)
% 18.75/3.57 % (2712959)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=1179671074:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 18.75/3.57 % (2712955)------------------------------
% 18.75/3.57 % (2712955)------------------------------
% 18.75/3.57 % (2712953)------------------------------
% 18.75/3.57 % (2712953)------------------------------
% 18.75/3.57 % (2712961)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2201855309:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 18.75/3.57 % (2712954)------------------------------
% 18.75/3.57 % (2712954)------------------------------
% 18.75/3.57 % (2712961)Refutation not found, incomplete strategy
% 18.75/3.57 % (2712961)------------------------------
% 18.75/3.57 % (2712961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.57 % (2712961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.57 % (2712961)CaDiCaL version: 2.1.3
% 18.75/3.57 % (2712961)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.57 % (2712961)Time elapsed: 0.002 s
% 18.75/3.57 % (2712961)Peak memory usage: 88 MB
% 18.75/3.57 % (2712961)Instructions burned: 5 (million)
% 18.75/3.57 % (2712959)Instruction limit reached!
% 18.75/3.57 % (2712959)------------------------------
% 18.75/3.57 % (2712959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.57 % (2712959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.57 % (2712959)CaDiCaL version: 2.1.3
% 18.75/3.57 % (2712959)Termination reason: Instruction limit
% 18.75/3.57 % (2712959)Termination phase: Saturation
% 18.75/3.57 % (2712959)Time elapsed: 0.145 s
% 18.75/3.57 % (2712959)Peak memory usage: 93 MB
% 18.75/3.57 % (2712959)Instructions burned: 249 (million)
% 18.75/3.57 % (2712963)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1782206121:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 18.75/3.57 % (2712964)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1697715515:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 18.75/3.57 % (2712961)------------------------------
% 18.75/3.57 % (2712961)------------------------------
% 18.75/3.57 % (2712965)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3405455759:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 18.75/3.57 % (2712964)Instruction limit reached!
% 18.75/3.57 % (2712964)------------------------------
% 18.75/3.57 % (2712964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.57 % (2712964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.57 % (2712964)CaDiCaL version: 2.1.3
% 18.75/3.57 % (2712964)Termination reason: Instruction limit
% 18.75/3.57 % (2712964)Termination phase: Saturation
% 18.75/3.57 % (2712964)Time elapsed: 0.070 s
% 25.30/4.48 % (2712964)Peak memory usage: 90 MB
% 25.30/4.48 % (2712964)Instructions burned: 114 (million)
% 25.30/4.48 % (2712965)Instruction limit reached!
% 25.30/4.48 % (2712965)------------------------------
% 25.30/4.48 % (2712965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712965)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712965)Termination reason: Instruction limit
% 25.30/4.48 % (2712965)Termination phase: Saturation
% 25.30/4.48 % (2712965)Time elapsed: 0.064 s
% 25.30/4.48 % (2712965)Peak memory usage: 89 MB
% 25.30/4.48 % (2712965)Instructions burned: 128 (million)
% 25.30/4.48 % (2712969)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=611926866:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 25.30/4.48 % (2712969)Instruction limit reached!
% 25.30/4.48 % (2712969)------------------------------
% 25.30/4.48 % (2712969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712969)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712969)Termination reason: Instruction limit
% 25.30/4.48 % (2712969)Termination phase: Saturation
% 25.30/4.48 % (2712969)Time elapsed: 0.034 s
% 25.30/4.48 % (2712969)Peak memory usage: 89 MB
% 25.30/4.48 % (2712969)Instructions burned: 115 (million)
% 25.30/4.48 % (2712970)lrs+10_1_sil=8000:sp=occurrence:random_seed=739226945:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 25.30/4.48 % (2712971)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2557060346:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 25.30/4.48 % (2712973)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1888284794:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 25.30/4.48 % (2712971)Refutation not found, incomplete strategy
% 25.30/4.48 % (2712971)------------------------------
% 25.30/4.48 % (2712971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712971)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712971)Termination reason: Refutation not found, incomplete strategy
% 25.30/4.48 % (2712971)Time elapsed: 0.024 s
% 25.30/4.48 % (2712971)Peak memory usage: 89 MB
% 25.30/4.48 % (2712971)Instructions burned: 42 (million)
% 25.30/4.48 % (2712971)------------------------------
% 25.30/4.48 % (2712971)------------------------------
% 25.30/4.48 % (2712977)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1876262491:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 25.30/4.48 % (2712977)Instruction limit reached!
% 25.30/4.48 % (2712977)------------------------------
% 25.30/4.48 % (2712977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712977)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712977)Termination reason: Instruction limit
% 25.30/4.48 % (2712977)Termination phase: Saturation
% 25.30/4.48 % (2712977)Time elapsed: 0.072 s
% 25.30/4.48 % (2712977)Peak memory usage: 91 MB
% 25.30/4.48 % (2712977)Instructions burned: 134 (million)
% 25.30/4.48 % (2712970)Instruction limit reached!
% 25.30/4.48 % (2712970)------------------------------
% 25.30/4.48 % (2712970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712970)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712970)Termination reason: Instruction limit
% 25.30/4.48 % (2712970)Termination phase: Saturation
% 25.30/4.48 % (2712970)Time elapsed: 0.532 s
% 25.30/4.48 % (2712970)Peak memory usage: 98 MB
% 25.30/4.48 % (2712970)Instructions burned: 909 (million)
% 25.30/4.48 % (2712979)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4122582202:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 25.30/4.48 % (2712979)Refutation not found, incomplete strategy
% 25.30/4.48 % (2712979)------------------------------
% 25.30/4.48 % (2712979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712979)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712979)Termination reason: Refutation not found, incomplete strategy
% 25.30/4.48 % (2712979)Time elapsed: 0.014 s
% 25.30/4.48 % (2712979)Peak memory usage: 89 MB
% 25.30/4.48 % (2712979)Instructions burned: 26 (million)
% 25.30/4.48 % (2712980)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4263190940:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 25.30/4.48 % (2712979)------------------------------
% 25.30/4.48 % (2712979)------------------------------
% 25.30/4.48 % (2712983)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=3327991074:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 25.30/4.48 % (2712983)Refutation not found, incomplete strategy
% 25.30/4.48 % (2712983)------------------------------
% 25.30/4.48 % (2712983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712983)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712983)Termination reason: Refutation not found, incomplete strategy
% 25.30/4.48 % (2712983)Time elapsed: 0.005 s
% 25.30/4.48 % (2712983)Peak memory usage: 88 MB
% 25.30/4.48 % (2712983)Instructions burned: 7 (million)
% 25.30/4.48 % (2712983)------------------------------
% 25.30/4.48 % (2712983)------------------------------
% 25.30/4.48 % (2712963)Instruction limit reached!
% 25.30/4.48 % (2712963)------------------------------
% 25.30/4.48 % (2712963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712963)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712963)Termination reason: Instruction limit
% 25.30/4.48 % (2712963)Termination phase: Saturation
% 25.30/4.48 % (2712963)Time elapsed: 1.453 s
% 25.30/4.48 % (2712963)Peak memory usage: 142 MB
% 25.30/4.48 % (2712963)Instructions burned: 2352 (million)
% 25.30/4.48 % (2712985)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2381408995:i=134:gtgl=5:slsql=off:gtg=exists_sym_2978 on theBenchmark for (2978ds/134Mi)
% 25.30/4.48 % (2712986)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3297702311:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 25.30/4.48 % (2712986)Refutation not found, incomplete strategy
% 25.30/4.48 % (2712986)------------------------------
% 25.30/4.48 % (2712986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712986)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712986)Termination reason: Refutation not found, incomplete strategy
% 25.30/4.48 % (2712986)Time elapsed: 0.002 s
% 25.30/4.48 % (2712986)Peak memory usage: 88 MB
% 25.30/4.48 % (2712986)Instructions burned: 1 (million)
% 25.30/4.48 % (2712985)Instruction limit reached!
% 25.30/4.48 % (2712985)------------------------------
% 25.30/4.48 % (2712985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712985)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712985)Termination reason: Instruction limit
% 25.30/4.48 % (2712985)Termination phase: Saturation
% 25.30/4.48 % (2712985)Time elapsed: 0.077 s
% 25.30/4.48 % (2712985)Peak memory usage: 91 MB
% 25.30/4.48 % (2712985)Instructions burned: 135 (million)
% 25.30/4.48 % (2712989)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1163721765:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2976 on theBenchmark for (2976ds/431Mi)
% 25.30/4.48 % (2712989)Refutation not found, incomplete strategy
% 25.30/4.48 % (2712989)------------------------------
% 25.30/4.48 % (2712989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712989)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712989)Termination reason: Refutation not found, incomplete strategy
% 25.30/4.48 % (2712989)Time elapsed: 0.006 s
% 25.30/4.48 % (2712989)Peak memory usage: 89 MB
% 25.30/4.48 % (2712989)Instructions burned: 9 (million)
% 25.30/4.48 % (2712986)------------------------------
% 25.30/4.48 % (2712986)------------------------------
% 25.30/4.48 % (2712991)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=4171398323:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 25.30/4.48 % (2712989)------------------------------
% 25.30/4.48 % (2712989)------------------------------
% 25.30/4.48 % (2712973)Instruction limit reached!
% 25.30/4.48 % (2712973)------------------------------
% 25.30/4.48 % (2712973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712973)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712973)Termination reason: Instruction limit
% 25.30/4.48 % (2712973)Termination phase: Saturation
% 25.30/4.48 % (2712973)Time elapsed: 1.811 s
% 25.30/4.48 % (2712973)Peak memory usage: 159 MB
% 25.30/4.48 % (2712973)Instructions burned: 5203 (million)
% 25.30/4.48 % (2712993)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=979183293:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 25.30/4.48 % (2712994)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2063988129:i=14155:bd=all_2971 on theBenchmark for (2971ds/14155Mi)
% 25.30/4.48 % (2712993)Instruction limit reached!
% 25.30/4.48 % (2712993)------------------------------
% 25.30/4.48 % (2712993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712993)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712993)Termination reason: Instruction limit
% 25.30/4.48 % (2712993)Termination phase: Saturation
% 25.30/4.48 % (2712993)Time elapsed: 0.080 s
% 25.30/4.48 % (2712993)Peak memory usage: 90 MB
% 25.30/4.48 % (2712993)Instructions burned: 152 (million)
% 25.30/4.48 % (2712997)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3934915097:i=667:av=off:fsr=off_2970 on theBenchmark for (2970ds/667Mi)
% 25.30/4.48 % (2712997)Instruction limit reached!
% 25.30/4.48 % (2712997)------------------------------
% 25.30/4.48 % (2712997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.30/4.48 % (2712997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.30/4.48 % (2712997)CaDiCaL version: 2.1.3
% 25.30/4.48 % (2712997)Termination reason: Instruction limit
% 25.30/4.48 % (2712997)Termination phase: Saturation
% 25.30/4.48 % (2712997)Time elapsed: 0.323 s
% 25.30/4.48 % (2712997)Peak memory usage: 100 MB
% 25.30/4.48 % (2712997)Instructions burned: 669 (million)
% 25.30/4.48 % (2712991)First to succeed.
% 25.30/4.48 % (2712991)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2712934"
% 25.30/4.48 % (2712999)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=41376152:s2a=on:i=185:s2at=1.8:fdi=4_2965 on theBenchmark for (2965ds/185Mi)
% 25.30/4.48 % (2712991)Refutation found. Thanks to Tanya!
% 25.30/4.48 % SZS status Theorem for theBenchmark
% 25.30/4.48 % SZS output start Proof for theBenchmark
% See solution above
% 26.15/4.68 % (2712991)------------------------------
% 26.15/4.68 % (2712991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.68 % (2712991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.68 % (2712991)CaDiCaL version: 2.1.3
% 26.15/4.68 % (2712991)Termination reason: Refutation
% 26.15/4.68 % (2712991)Time elapsed: 0.745 s
% 26.15/4.68 % (2712991)Peak memory usage: 136 MB
% 26.15/4.68 % (2712991)Instructions burned: 1415 (million)
% 26.15/4.68 % (2712991)------------------------------
% 26.15/4.68 % (2712991)------------------------------
% 26.15/4.68 % (2712934)Success in time 3.625 s
% 26.15/4.68 % Vampire exiting
%------------------------------------------------------------------------------