%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM728+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 12:16:42 PM UTC 2026
% Result : Theorem 38.46s 6.45s
% Output : Refutation 38.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 74 ( 25 unt; 2 def)
% Number of atoms : 159 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 158 ( 73 ~; 73 |; 1 &)
% ( 8 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-2 aty)
% Number of variables : 97 ( 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,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(f31,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__eq) ).
fof(f62,axiom,
! [X0] : scratc937796732d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f100,axiom,
scratc937075143d_n_is = scratc1418414782d_e_is(scratc753448592nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f147,axiom,
! [X0] : scratc1418414782d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f194,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc993901106_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f196,axiom,
pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_bz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz40) ).
fof(f522,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
<=> pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_by,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__131) ).
fof(f523,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__132) ).
fof(f538,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)),X1))),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__147) ).
fof(f581,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)),X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__190) ).
fof(f815,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(f819,conjecture,
pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f820,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f819]) ).
fof(f821,plain,
~ pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f820]) ).
fof(f838,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc993901106_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f194]) ).
fof(f839,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc993901106_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f838]) ).
fof(f1040,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,[],[f815]) ).
fof(f1041,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,[],[f1040]) ).
fof(f1065,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f1072,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1073,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1107,plain,
! [X0] : scratc937796732d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f1169,plain,
scratc937075143d_n_is = scratc1418414782d_e_is(scratc753448592nd_nat),
inference(cnf_transformation,[],[f100]) ).
fof(f1233,plain,
! [X0] : scratc1418414782d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f147]) ).
fof(f1317,plain,
! [X2,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1))
| ~ scratc993901106_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2))
| ~ gg_TPTP_ind(X2) ),
inference(cnf_transformation,[],[f839]) ).
fof(f1318,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f839]) ).
fof(f1319,plain,
! [X0,X1] :
( scratc993901106_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1)) ),
inference(cnf_transformation,[],[f839]) ).
fof(f1320,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),X1)) ),
inference(cnf_transformation,[],[f839]) ).
fof(f1323,plain,
pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_bz)),
inference(cnf_transformation,[],[f196]) ).
fof(f1809,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_by,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ),
inference(cnf_transformation,[],[f522]) ).
fof(f1810,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(cnf_transformation,[],[f523]) ).
fof(f1841,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)),X1))),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(cnf_transformation,[],[f538]) ).
fof(f1948,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0)),X1)),aa_TPTP_ind_TPTP_ind(scratc937796732d_n_ts(aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ),
inference(cnf_transformation,[],[f581]) ).
fof(f2504,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,[],[f1041]) ).
fof(f2508,plain,
~ pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f821]) ).
fof(f2515,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1073,f1107,f1107]) ).
fof(f2516,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1072,f1107,f1107]) ).
fof(f2557,plain,
scratc937075143d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1169,f1233]) ).
fof(f2610,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))),X1))),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(definition_unfolding,[],[f1841,f1107,f1107]) ).
fof(f2644,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ),
inference(definition_unfolding,[],[f1948,f1107,f1107]) ).
fof(f2825,definition,
sF25 = scratc1828557607all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f2826,plain,
scratc1828557607all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f2825]) ).
fof(f2827,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f2828,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ac) = sF26,
inference(reorient_equations,[],[f2827]) ).
fof(f2829,plain,
~ pp(sF26),
inference(definition_folding,[],[f2508,f2828,f2826]) ).
fof(f2894,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,X0))
| ~ scratc993901106_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(X0,X1))
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f1317,f2826]) ).
fof(f2902,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,X0),X1))
| ~ gg_TPTP_ind(X0)
| X0 = X1
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f2504,f2557]) ).
fof(f2903,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(resolution,[],[f2902,f2515]) ).
fof(f2904,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f2903,f1065]) ).
fof(f2905,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f2904,f1065]) ).
fof(f2913,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(superposition,[],[f2516,f2905]) ).
fof(f2914,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(superposition,[],[f2515,f2905]) ).
fof(f2918,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc937075143d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1)) ),
inference(duplicate_literal_removal,[],[f2914]) ).
fof(f2920,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,X1),X0)) ),
inference(forward_subsumption_resolution,[],[f2913,f2918]) ).
fof(f2978,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc936812745d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc936878345d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc754760565nd_num,X0))),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc351207360bnd_ap,aa_TPTP_ind_TPTP_ind(scratc663346005_times,aa_TPTP_ind_TPTP_ind(scratc671095932nd_den,X0))),X1))),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1)) ),
inference(resolution,[],[f2644,f2920]) ).
fof(f2985,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(resolution,[],[f2978,f2610]) ).
fof(f3219,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by,X0),X1))
| ~ scratc993901106_is_of(X1,aTP_Lamm_aa)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f1809,f1317]) ).
fof(f3220,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X1))
| ~ gg_TPTP_ind(X0)
| ~ scratc993901106_is_of(X0,aTP_Lamm_aa) ),
inference(resolution,[],[f3219,f2985]) ).
fof(f3224,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| ~ gg_TPTP_ind(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ scratc993901106_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)),aTP_Lamm_aa)
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f3220,f1320]) ).
fof(f3226,plain,
! [X0,X1] :
( ~ scratc993901106_is_of(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)),aTP_Lamm_aa)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(forward_subsumption_resolution,[],[f3224,f1318]) ).
fof(f3227,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f3226,f1319]) ).
fof(f3228,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_aa),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0)) ),
inference(duplicate_literal_removal,[],[f3227]) ).
fof(f3229,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(resolution,[],[f3228,f1810]) ).
fof(f3915,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_bz)),
inference(superposition,[],[f1323,f2826]) ).
fof(f3916,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bz,X0))
| ~ scratc993901106_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f3915,f2894]) ).
fof(f3917,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc993901106_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f3916,f3229]) ).
fof(f3921,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ac))
| ~ scratc993901106_is_of(sK12(X0,aTP_Lamm_ac),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),aTP_Lamm_ac)) ),
inference(resolution,[],[f3917,f1320]) ).
fof(f3923,plain,
! [X0] :
( ~ scratc993901106_is_of(sK12(X0,aTP_Lamm_ac),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1828557607all_of(X0),aTP_Lamm_ac)) ),
inference(forward_subsumption_resolution,[],[f3921,f1318]) ).
fof(f3924,plain,
( pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac))
| pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
inference(resolution,[],[f3923,f1319]) ).
fof(f3925,plain,
pp(aa_fun171081125l_bool(scratc1828557607all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(duplicate_literal_removal,[],[f3924]) ).
fof(f3926,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac)),
inference(forward_demodulation,[],[f3925,f2826]) ).
fof(f3927,plain,
pp(sF26),
inference(forward_demodulation,[],[f3926,f2828]) ).
fof(f3928,plain,
$false,
inference(forward_subsumption_resolution,[],[f3927,f2829]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM728+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n004.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 21:13:22 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 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
% 16.35/3.36 % (3881653)Detected formulas, will run a generic FOF schedule.
% 16.35/3.36 % (3881669)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=1893651454:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.35/3.36 % (3881671)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1897460525:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.35/3.36 % (3881671)Refutation not found, incomplete strategy
% 16.35/3.36 % (3881671)------------------------------
% 16.35/3.36 % (3881671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.35/3.36 % (3881671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.35/3.36 % (3881671)CaDiCaL version: 2.1.3
% 16.35/3.36 % (3881671)Termination reason: Refutation not found, incomplete strategy
% 16.35/3.36 % (3881671)Time elapsed: 0.007 s
% 16.35/3.36 % (3881671)Peak memory usage: 88 MB
% 16.35/3.36 % (3881671)Instructions burned: 5 (million)
% 16.35/3.36 % (3881667)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=2548890651:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.35/3.36 % (3881670)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=103218135:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.35/3.36 % (3881668)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=4019108304:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.35/3.36 % (3881670)Refutation not found, incomplete strategy
% 16.35/3.36 % (3881670)------------------------------
% 16.35/3.36 % (3881670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.35/3.36 % (3881670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.35/3.36 % (3881670)CaDiCaL version: 2.1.3
% 16.35/3.36 % (3881670)Termination reason: Refutation not found, incomplete strategy
% 16.35/3.36 % (3881670)Time elapsed: 0.005 s
% 16.35/3.36 % (3881670)Peak memory usage: 88 MB
% 16.35/3.36 % (3881670)Instructions burned: 4 (million)
% 16.35/3.36 % (3881672)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2615449162:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.35/3.36 % (3881673)dis-21_1_sil=8000:lcm=predicate:random_seed=171896255: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)
% 16.35/3.36 % (3881673)Instruction limit reached!
% 16.35/3.36 % (3881673)------------------------------
% 16.35/3.36 % (3881673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.35/3.36 % (3881673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.35/3.36 % (3881673)CaDiCaL version: 2.1.3
% 16.35/3.36 % (3881673)Termination reason: Instruction limit
% 16.35/3.36 % (3881673)Termination phase: Saturation
% 16.35/3.36 % (3881673)Time elapsed: 0.118 s
% 16.35/3.36 % (3881673)Peak memory usage: 90 MB
% 16.35/3.36 % (3881673)Instructions burned: 129 (million)
% 16.35/3.36 % (3881672)Instruction limit reached!
% 16.35/3.36 % (3881672)------------------------------
% 16.35/3.36 % (3881672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.35/3.36 % (3881672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.35/3.36 % (3881672)CaDiCaL version: 2.1.3
% 16.35/3.36 % (3881672)Termination reason: Instruction limit
% 16.35/3.36 % (3881672)Termination phase: Saturation
% 16.35/3.36 % (3881672)Time elapsed: 0.129 s
% 16.35/3.36 % (3881672)Peak memory usage: 91 MB
% 16.35/3.36 % (3881672)Instructions burned: 139 (million)
% 16.35/3.36 % (3881671)------------------------------
% 16.35/3.36 % (3881671)------------------------------
% 16.35/3.36 % (3881681)lrs+10_1_sil=8000:sp=occurrence:random_seed=2249406710:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 16.35/3.36 % (3881681)Refutation not found, incomplete strategy
% 16.35/3.36 % (3881681)------------------------------
% 16.35/3.36 % (3881681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.35/3.36 % (3881681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.35/3.36 % (3881681)CaDiCaL version: 2.1.3
% 16.35/3.36 % (3881681)Termination reason: Refutation not found, incomplete strategy
% 16.35/3.36 % (3881681)Time elapsed: 0.009 s
% 16.35/3.36 % (3881681)Peak memory usage: 89 MB
% 26.65/4.88 % (3881681)Instructions burned: 6 (million)
% 26.65/4.88 % (3881682)lrs+10_1_sil=32000:urr=on:br=off:random_seed=354790228:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 26.65/4.88 % (3881682)Refutation not found, incomplete strategy
% 26.65/4.88 % (3881682)------------------------------
% 26.65/4.88 % (3881682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.65/4.88 % (3881682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.65/4.88 % (3881682)CaDiCaL version: 2.1.3
% 26.65/4.88 % (3881682)Termination reason: Refutation not found, incomplete strategy
% 26.65/4.88 % (3881682)Time elapsed: 0.012 s
% 26.65/4.88 % (3881682)Peak memory usage: 89 MB
% 26.65/4.88 % (3881682)Instructions burned: 13 (million)
% 26.65/4.88 % (3881670)------------------------------
% 26.65/4.88 % (3881670)------------------------------
% 26.65/4.88 % (3881684)lrs+1011_1_sil=32000:sp=occurrence:random_seed=407429768:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 26.65/4.88 % (3881684)Refutation not found, incomplete strategy
% 26.65/4.88 % (3881684)------------------------------
% 26.65/4.88 % (3881684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.65/4.88 % (3881684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.65/4.88 % (3881684)CaDiCaL version: 2.1.3
% 26.65/4.88 % (3881684)Termination reason: Refutation not found, incomplete strategy
% 26.65/4.88 % (3881684)Time elapsed: 0.010 s
% 26.65/4.88 % (3881684)Peak memory usage: 89 MB
% 26.65/4.88 % (3881684)Instructions burned: 7 (million)
% 26.65/4.88 % (3881688)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=4164731340:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 26.65/4.88 % (3881688)Instruction limit reached!
% 26.65/4.88 % (3881688)------------------------------
% 26.65/4.88 % (3881688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.65/4.88 % (3881688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.65/4.88 % (3881688)CaDiCaL version: 2.1.3
% 26.65/4.88 % (3881688)Termination reason: Instruction limit
% 26.65/4.88 % (3881688)Termination phase: Saturation
% 26.65/4.88 % (3881688)Time elapsed: 0.125 s
% 26.65/4.88 % (3881688)Peak memory usage: 92 MB
% 26.65/4.88 % (3881688)Instructions burned: 249 (million)
% 26.65/4.88 % (3881681)------------------------------
% 26.65/4.88 % (3881681)------------------------------
% 26.65/4.88 % (3881682)------------------------------
% 26.65/4.88 % (3881682)------------------------------
% 26.65/4.88 % (3881691)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3198904195:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 26.65/4.88 % (3881691)Refutation not found, incomplete strategy
% 26.65/4.88 % (3881691)------------------------------
% 26.65/4.88 % (3881691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.65/4.88 % (3881691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.65/4.88 % (3881691)CaDiCaL version: 2.1.3
% 26.65/4.88 % (3881691)Termination reason: Refutation not found, incomplete strategy
% 26.65/4.88 % (3881691)Time elapsed: 0.006 s
% 26.65/4.88 % (3881691)Peak memory usage: 89 MB
% 26.65/4.88 % (3881691)Instructions burned: 10 (million)
% 26.65/4.88 % (3881693)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3284983620:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 26.65/4.88 % (3881684)------------------------------
% 26.65/4.88 % (3881684)------------------------------
% 26.65/4.88 % (3881692)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=780131876:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 26.65/4.88 % (3881693)Instruction limit reached!
% 26.65/4.88 % (3881693)------------------------------
% 26.65/4.88 % (3881693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.65/4.88 % (3881693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.65/4.88 % (3881693)CaDiCaL version: 2.1.3
% 26.65/4.88 % (3881693)Termination reason: Instruction limit
% 26.65/4.88 % (3881693)Termination phase: Saturation
% 26.65/4.88 % (3881693)Time elapsed: 0.085 s
% 26.65/4.88 % (3881693)Peak memory usage: 90 MB
% 26.65/4.88 % (3881693)Instructions burned: 113 (million)
% 26.65/4.88 % (3881691)------------------------------
% 26.65/4.88 % (3881691)------------------------------
% 26.65/4.88 % (3881696)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2266788604:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 38.46/6.45 % (3881698)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3079791435:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 38.46/6.45 % (3881699)lrs+10_1_sil=8000:sp=occurrence:random_seed=1533187029:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 38.46/6.45 % (3881696)Instruction limit reached!
% 38.46/6.45 % (3881696)------------------------------
% 38.46/6.45 % (3881696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881696)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881696)Termination reason: Instruction limit
% 38.46/6.45 % (3881696)Termination phase: Saturation
% 38.46/6.45 % (3881696)Time elapsed: 0.109 s
% 38.46/6.45 % (3881696)Peak memory usage: 90 MB
% 38.46/6.45 % (3881696)Instructions burned: 128 (million)
% 38.46/6.45 % (3881698)Instruction limit reached!
% 38.46/6.45 % (3881698)------------------------------
% 38.46/6.45 % (3881698)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881698)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881698)Termination reason: Instruction limit
% 38.46/6.45 % (3881698)Termination phase: Saturation
% 38.46/6.45 % (3881698)Time elapsed: 0.098 s
% 38.46/6.45 % (3881698)Peak memory usage: 89 MB
% 38.46/6.45 % (3881698)Instructions burned: 115 (million)
% 38.46/6.45 % (3881703)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2711085219:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 38.46/6.45 % (3881704)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=749670743:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 38.46/6.45 % (3881703)Refutation not found, incomplete strategy
% 38.46/6.45 % (3881703)------------------------------
% 38.46/6.45 % (3881703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881703)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881703)Termination reason: Refutation not found, incomplete strategy
% 38.46/6.45 % (3881703)Time elapsed: 0.103 s
% 38.46/6.45 % (3881703)Peak memory usage: 91 MB
% 38.46/6.45 % (3881703)Instructions burned: 118 (million)
% 38.46/6.45 % (3881699)Instruction limit reached!
% 38.46/6.45 % (3881699)------------------------------
% 38.46/6.45 % (3881699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881699)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881699)Termination reason: Instruction limit
% 38.46/6.45 % (3881699)Termination phase: Saturation
% 38.46/6.45 % (3881699)Time elapsed: 0.455 s
% 38.46/6.45 % (3881699)Peak memory usage: 101 MB
% 38.46/6.45 % (3881699)Instructions burned: 908 (million)
% 38.46/6.45 % (3881709)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1152874651:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 38.46/6.45 % (3881709)Instruction limit reached!
% 38.46/6.45 % (3881709)------------------------------
% 38.46/6.45 % (3881709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881709)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881709)Termination reason: Instruction limit
% 38.46/6.45 % (3881709)Termination phase: Saturation
% 38.46/6.45 % (3881709)Time elapsed: 0.062 s
% 38.46/6.45 % (3881709)Peak memory usage: 93 MB
% 38.46/6.45 % (3881709)Instructions burned: 137 (million)
% 38.46/6.45 % (3881703)------------------------------
% 38.46/6.45 % (3881703)------------------------------
% 38.46/6.45 % (3881711)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1855529430:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 38.46/6.45 % (3881711)Refutation not found, incomplete strategy
% 38.46/6.45 % (3881711)------------------------------
% 38.46/6.45 % (3881711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881711)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881711)Termination reason: Refutation not found, incomplete strategy
% 38.46/6.45 % (3881711)Time elapsed: 0.016 s
% 38.46/6.45 % (3881711)Peak memory usage: 89 MB
% 38.46/6.45 % (3881711)Instructions burned: 30 (million)
% 38.46/6.45 % (3881712)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=897621071:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 38.46/6.45 % (3881711)------------------------------
% 38.46/6.45 % (3881711)------------------------------
% 38.46/6.45 % (3881716)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=3880106733:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/125Mi)
% 38.46/6.45 % (3881716)Instruction limit reached!
% 38.46/6.45 % (3881716)------------------------------
% 38.46/6.45 % (3881716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881716)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881716)Termination reason: Instruction limit
% 38.46/6.45 % (3881716)Termination phase: Saturation
% 38.46/6.45 % (3881716)Time elapsed: 0.062 s
% 38.46/6.45 % (3881716)Peak memory usage: 91 MB
% 38.46/6.45 % (3881716)Instructions burned: 126 (million)
% 38.46/6.45 % (3881719)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1608360972:i=134:gtgl=5:slsql=off:gtg=exists_sym_2971 on theBenchmark for (2971ds/134Mi)
% 38.46/6.45 % (3881719)Instruction limit reached!
% 38.46/6.45 % (3881719)------------------------------
% 38.46/6.45 % (3881719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881719)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881719)Termination reason: Instruction limit
% 38.46/6.45 % (3881719)Termination phase: Saturation
% 38.46/6.45 % (3881719)Time elapsed: 0.058 s
% 38.46/6.45 % (3881719)Peak memory usage: 92 MB
% 38.46/6.45 % (3881719)Instructions burned: 135 (million)
% 38.46/6.45 % (3881721)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2696210577:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 38.46/6.45 % (3881721)Refutation not found, incomplete strategy
% 38.46/6.45 % (3881721)------------------------------
% 38.46/6.45 % (3881721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881721)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881721)Termination reason: Refutation not found, incomplete strategy
% 38.46/6.45 % (3881721)Time elapsed: 0.003 s
% 38.46/6.45 % (3881721)Peak memory usage: 88 MB
% 38.46/6.45 % (3881721)Instructions burned: 4 (million)
% 38.46/6.45 % (3881721)------------------------------
% 38.46/6.45 % (3881721)------------------------------
% 38.46/6.45 % (3881723)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=286517174:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2965 on theBenchmark for (2965ds/431Mi)
% 38.46/6.45 % (3881723)Refutation not found, incomplete strategy
% 38.46/6.45 % (3881723)------------------------------
% 38.46/6.45 % (3881723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881723)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881723)Termination reason: Refutation not found, incomplete strategy
% 38.46/6.45 % (3881723)Time elapsed: 0.003 s
% 38.46/6.45 % (3881723)Peak memory usage: 89 MB
% 38.46/6.45 % (3881723)Instructions burned: 4 (million)
% 38.46/6.45 % (3881692)Instruction limit reached!
% 38.46/6.45 % (3881692)------------------------------
% 38.46/6.45 % (3881692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881692)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881692)Termination reason: Instruction limit
% 38.46/6.45 % (3881692)Termination phase: Saturation
% 38.46/6.45 % (3881692)Time elapsed: 2.465 s
% 38.46/6.45 % (3881692)Peak memory usage: 151 MB
% 38.46/6.45 % (3881692)Instructions burned: 2350 (million)
% 38.46/6.45 % (3881723)------------------------------
% 38.46/6.45 % (3881723)------------------------------
% 38.46/6.45 % (3881725)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=1818732000:i=6060:aac=none:ins=25_2962 on theBenchmark for (2962ds/6060Mi)
% 38.46/6.45 % (3881726)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=2814201515:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2961 on theBenchmark for (2961ds/150Mi)
% 38.46/6.45 % (3881726)Instruction limit reached!
% 38.46/6.45 % (3881726)------------------------------
% 38.46/6.45 % (3881726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.46/6.45 % (3881726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.46/6.45 % (3881726)CaDiCaL version: 2.1.3
% 38.46/6.45 % (3881726)Termination reason: Instruction limit
% 38.46/6.45 % (3881726)Termination phase: Saturation
% 38.46/6.45 % (3881726)Time elapsed: 0.135 s
% 38.46/6.45 % (3881726)Peak memory usage: 92 MB
% 38.46/6.45 % (3881726)Instructions burned: 150 (million)
% 38.46/6.45 % (3881729)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4229073594:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 38.46/6.45 % (3881725)First to succeed.
% 38.46/6.45 % (3881725)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3881653"
% 38.46/6.45 % (3881725)Refutation found. Thanks to Tanya!
% 38.46/6.45 % SZS status Theorem for theBenchmark
% 38.46/6.45 % SZS output start Proof for theBenchmark
% See solution above
% 38.92/6.66 % (3881725)------------------------------
% 38.92/6.66 % (3881725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.92/6.66 % (3881725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.92/6.66 % (3881725)CaDiCaL version: 2.1.3
% 38.92/6.66 % (3881725)Termination reason: Refutation
% 38.92/6.66 % (3881725)Time elapsed: 1.300 s
% 38.92/6.66 % (3881725)Peak memory usage: 150 MB
% 38.92/6.66 % (3881725)Instructions burned: 2259 (million)
% 38.92/6.66 % (3881725)------------------------------
% 38.92/6.66 % (3881725)------------------------------
% 38.92/6.66 % (3881653)Success in time 5.439 s
% 38.92/6.66 % Vampire exiting
%------------------------------------------------------------------------------