%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM726+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 : n016.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 12:16:41 PM UTC 2026
% Result : Theorem 20.83s 7.51s
% Output : Refutation 46.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 56 ( 26 unt; 2 def)
% Number of atoms : 108 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 92 ( 40 ~; 40 |; 1 &)
% ( 7 <=>; 4 =>; 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 : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 75 ( 75 !; 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(scratc949585147d_n_eq,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__eq) ).
fof(f62,axiom,
! [X0] : scratc950569134d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f100,axiom,
scratc949847545d_n_is = scratc1431187184d_e_is(scratc1785402306nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f147,axiom,
! [X0] : scratc1431187184d_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(scratc187530841all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1332077184_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f519,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__131) ).
fof(f557,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X1),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__169) ).
fof(f804,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(f805,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(f809,conjecture,
pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f810,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f809]) ).
fof(f811,plain,
~ pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f810]) ).
fof(f828,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc187530841all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1332077184_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f194]) ).
fof(f829,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc187530841all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1332077184_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f828]) ).
fof(f905,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ) ),
inference(ennf_transformation,[],[f557]) ).
fof(f1028,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,[],[f805]) ).
fof(f1029,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,[],[f1028]) ).
fof(f1053,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1061,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc950569134d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f1095,plain,
! [X0] : scratc950569134d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f1157,plain,
scratc949847545d_n_is = scratc1431187184d_e_is(scratc1785402306nd_nat),
inference(cnf_transformation,[],[f100]) ).
fof(f1221,plain,
! [X0] : scratc1431187184d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f147]) ).
fof(f1308,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc187530841all_of(X0),X1)) ),
inference(cnf_transformation,[],[f829]) ).
fof(f1793,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f519]) ).
fof(f1884,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f1885,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f905]) ).
fof(f2472,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f804]) ).
fof(f2473,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,[],[f1029]) ).
fof(f2477,plain,
~ pp(aa_fun171081125l_bool(scratc187530841all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f811]) ).
fof(f2484,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1061,f1095,f1095]) ).
fof(f2485,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1060,f1095,f1095]) ).
fof(f2526,plain,
scratc949847545d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1157,f1221]) ).
fof(f2789,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f2472]) ).
fof(f2790,definition,
sF25 = scratc187530841all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f2791,plain,
scratc187530841all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f2790]) ).
fof(f2792,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f2793,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f2792]) ).
fof(f2794,plain,
~ pp(sF26),
inference(definition_folding,[],[f2477,f2793,f2791]) ).
fof(f2865,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc187530841all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1884,f1308]) ).
fof(f2866,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,X0),X1))
| ~ gg_TPTP_ind(X0)
| X0 = X1
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f2473,f2526]) ).
fof(f2883,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,X0),X0)),
inference(superposition,[],[f2789,f2526]) ).
fof(f2887,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))) ),
inference(resolution,[],[f2484,f2866]) ).
fof(f2888,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0)) ),
inference(forward_subsumption_resolution,[],[f2887,f1053]) ).
fof(f2889,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f2888,f1053]) ).
fof(f2915,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949847545d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1409824270bnd_ap,aa_TPTP_ind_TPTP_ind(scratc676118407_times,aa_TPTP_ind_TPTP_ind(scratc1786714279nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1703049646nd_den,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X1),X0)) ),
inference(superposition,[],[f2485,f2889]) ).
fof(f2916,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f2915,f2883]) ).
fof(f2923,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc949585147d_n_eq,sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))),X1))
| pp(aa_fun171081125l_bool(scratc187530841all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f2916,f2865]) ).
fof(f2928,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc187530841all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))) ),
inference(resolution,[],[f2923,f1885]) ).
fof(f2929,plain,
! [X0,X1] : pp(aa_fun171081125l_bool(scratc187530841all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))),
inference(forward_subsumption_resolution,[],[f2928,f1308]) ).
fof(f2930,plain,
! [X0] : pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)),
inference(backward_subsumption_resolution,[],[f1793,f2929]) ).
fof(f2940,plain,
! [X0] : pp(aa_fun171081125l_bool(scratc187530841all_of(X0),aTP_Lamm_ab)),
inference(resolution,[],[f2930,f1308]) ).
fof(f2942,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab)),
inference(superposition,[],[f2940,f2791]) ).
fof(f2943,plain,
pp(sF26),
inference(forward_demodulation,[],[f2942,f2793]) ).
fof(f2944,plain,
$false,
inference(forward_subsumption_resolution,[],[f2943,f2794]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM726+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n016.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 21:17:18 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 Running first-order theorem proving
% 0.21/0.49 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
% 19.42/3.87 % (2995952)Detected formulas, will run a generic FOF schedule.
% 19.42/3.87 % (2995970)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=4269626386:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 19.42/3.87 % (2995974)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3049295634:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 19.42/3.87 % (2995969)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=3671284498:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 19.42/3.87 % (2995972)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=254324839:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 19.42/3.87 % (2995971)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=3257213794:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 19.42/3.87 % (2995972)Refutation not found, incomplete strategy
% 19.42/3.87 % (2995972)------------------------------
% 19.42/3.87 % (2995972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.87 % (2995972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.87 % (2995972)CaDiCaL version: 2.1.3
% 19.42/3.87 % (2995972)Termination reason: Refutation not found, incomplete strategy
% 19.42/3.87 % (2995972)Time elapsed: 0.004 s
% 19.42/3.87 % (2995972)Peak memory usage: 88 MB
% 19.42/3.87 % (2995972)Instructions burned: 3 (million)
% 19.42/3.87 % (2995973)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1936286314:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 19.42/3.87 % (2995975)dis-21_1_sil=8000:lcm=predicate:random_seed=2051310968: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)
% 19.42/3.87 % (2995973)Refutation not found, incomplete strategy
% 19.42/3.87 % (2995973)------------------------------
% 19.42/3.87 % (2995973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.87 % (2995973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.87 % (2995973)CaDiCaL version: 2.1.3
% 19.42/3.87 % (2995973)Termination reason: Refutation not found, incomplete strategy
% 19.42/3.87 % (2995973)Time elapsed: 0.005 s
% 19.42/3.87 % (2995973)Peak memory usage: 88 MB
% 19.42/3.87 % (2995973)Instructions burned: 4 (million)
% 19.42/3.87 % (2995974)Instruction limit reached!
% 19.42/3.87 % (2995974)------------------------------
% 19.42/3.87 % (2995974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.87 % (2995974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.87 % (2995974)CaDiCaL version: 2.1.3
% 19.42/3.87 % (2995974)Termination reason: Instruction limit
% 19.42/3.87 % (2995974)Termination phase: Saturation
% 19.42/3.87 % (2995974)Time elapsed: 0.089 s
% 19.42/3.87 % (2995974)Peak memory usage: 91 MB
% 19.42/3.87 % (2995974)Instructions burned: 140 (million)
% 19.42/3.87 % (2995975)Instruction limit reached!
% 19.42/3.87 % (2995975)------------------------------
% 19.42/3.87 % (2995975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.87 % (2995975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.87 % (2995975)CaDiCaL version: 2.1.3
% 19.42/3.87 % (2995975)Termination reason: Instruction limit
% 19.42/3.87 % (2995975)Termination phase: Saturation
% 19.42/3.87 % (2995975)Time elapsed: 0.118 s
% 19.42/3.87 % (2995975)Peak memory usage: 90 MB
% 19.42/3.87 % (2995975)Instructions burned: 130 (million)
% 19.42/3.87 % (2995985)lrs+10_1_sil=8000:sp=occurrence:random_seed=58470874:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 19.42/3.87 % (2995985)Refutation not found, incomplete strategy
% 19.42/3.87 % (2995985)------------------------------
% 19.42/3.87 % (2995985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.42/3.87 % (2995985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.42/3.87 % (2995985)CaDiCaL version: 2.1.3
% 19.42/3.87 % (2995985)Termination reason: Refutation not found, incomplete strategy
% 19.42/3.87 % (2995985)Time elapsed: 0.008 s
% 19.42/3.87 % (2995985)Peak memory usage: 89 MB
% 19.42/3.87 % (2995985)Instructions burned: 6 (million)
% 19.42/3.87 % (2995986)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2285680099:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 30.77/5.40 % (2995986)Refutation not found, incomplete strategy
% 30.77/5.40 % (2995986)------------------------------
% 30.77/5.40 % (2995986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.77/5.40 % (2995986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.77/5.40 % (2995986)CaDiCaL version: 2.1.3
% 30.77/5.40 % (2995986)Termination reason: Refutation not found, incomplete strategy
% 30.77/5.40 % (2995986)Time elapsed: 0.008 s
% 30.77/5.40 % (2995986)Peak memory usage: 89 MB
% 30.77/5.40 % (2995986)Instructions burned: 13 (million)
% 30.77/5.40 % (2995972)------------------------------
% 30.77/5.40 % (2995972)------------------------------
% 30.77/5.40 % (2995973)------------------------------
% 30.77/5.40 % (2995973)------------------------------
% 30.77/5.40 % (2995989)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1006494672:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 30.77/5.40 % (2995986)------------------------------
% 30.77/5.40 % (2995986)------------------------------
% 30.77/5.40 % (2995989)Refutation not found, incomplete strategy
% 30.77/5.40 % (2995989)------------------------------
% 30.77/5.40 % (2995989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.77/5.40 % (2995989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.77/5.40 % (2995989)CaDiCaL version: 2.1.3
% 30.77/5.40 % (2995989)Termination reason: Refutation not found, incomplete strategy
% 30.77/5.40 % (2995989)Time elapsed: 0.010 s
% 30.77/5.40 % (2995989)Peak memory usage: 89 MB
% 30.77/5.40 % (2995989)Instructions burned: 7 (million)
% 30.77/5.40 % (2995985)------------------------------
% 30.77/5.40 % (2995985)------------------------------
% 30.77/5.40 % (2995990)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=3190460204:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 30.77/5.40 % (2995992)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=879187554:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 30.77/5.40 % (2995992)Refutation not found, incomplete strategy
% 30.77/5.40 % (2995992)------------------------------
% 30.77/5.40 % (2995992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.77/5.40 % (2995992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.77/5.40 % (2995992)CaDiCaL version: 2.1.3
% 30.77/5.40 % (2995992)Termination reason: Refutation not found, incomplete strategy
% 30.77/5.40 % (2995992)Time elapsed: 0.012 s
% 30.77/5.40 % (2995992)Peak memory usage: 89 MB
% 30.77/5.40 % (2995992)Instructions burned: 10 (million)
% 30.77/5.40 % (2995994)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3577871197:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 30.77/5.40 % (2995990)Instruction limit reached!
% 30.77/5.40 % (2995990)------------------------------
% 30.77/5.40 % (2995990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.77/5.40 % (2995990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.77/5.40 % (2995990)CaDiCaL version: 2.1.3
% 30.77/5.40 % (2995990)Termination reason: Instruction limit
% 30.77/5.40 % (2995990)Termination phase: Saturation
% 30.77/5.40 % (2995990)Time elapsed: 0.249 s
% 30.77/5.40 % (2995990)Peak memory usage: 93 MB
% 30.77/5.40 % (2995990)Instructions burned: 249 (million)
% 30.77/5.40 % (2995989)------------------------------
% 30.77/5.40 % (2995989)------------------------------
% 30.77/5.40 % (2995997)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3223393451:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 30.77/5.40 % (2995992)------------------------------
% 30.77/5.40 % (2995992)------------------------------
% 30.77/5.40 % (2995997)Instruction limit reached!
% 30.77/5.40 % (2995997)------------------------------
% 30.77/5.40 % (2995997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.77/5.40 % (2995997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.77/5.40 % (2995997)CaDiCaL version: 2.1.3
% 30.77/5.40 % (2995997)Termination reason: Instruction limit
% 30.77/5.40 % (2995997)Termination phase: Saturation
% 30.77/5.40 % (2995997)Time elapsed: 0.101 s
% 30.77/5.40 % (2995997)Peak memory usage: 90 MB
% 30.77/5.40 % (2995997)Instructions burned: 113 (million)
% 30.77/5.40 % (2995998)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2424267217:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 20.83/7.51 % (2996002)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3542003989:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 20.83/7.51 % (2995998)Instruction limit reached!
% 20.83/7.51 % (2995998)------------------------------
% 20.83/7.51 % (2995998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2995998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2995998)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2995998)Termination reason: Instruction limit
% 20.83/7.51 % (2995998)Termination phase: Saturation
% 20.83/7.51 % (2995998)Time elapsed: 0.108 s
% 20.83/7.51 % (2995998)Peak memory usage: 90 MB
% 20.83/7.51 % (2995998)Instructions burned: 128 (million)
% 20.83/7.51 % (2996002)Instruction limit reached!
% 20.83/7.51 % (2996002)------------------------------
% 20.83/7.51 % (2996002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996002)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996002)Termination reason: Instruction limit
% 20.83/7.51 % (2996002)Termination phase: Saturation
% 20.83/7.51 % (2996002)Time elapsed: 0.068 s
% 20.83/7.51 % (2996002)Peak memory usage: 90 MB
% 20.83/7.51 % (2996002)Instructions burned: 114 (million)
% 20.83/7.51 % (2996003)lrs+10_1_sil=8000:sp=occurrence:random_seed=243289379:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 20.83/7.51 % (2996006)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3702998348:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 20.83/7.51 % (2996007)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3740391580:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 20.83/7.51 % (2996006)Refutation not found, incomplete strategy
% 20.83/7.51 % (2996006)------------------------------
% 20.83/7.51 % (2996006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996006)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996006)Termination reason: Refutation not found, incomplete strategy
% 20.83/7.51 % (2996006)Time elapsed: 0.103 s
% 20.83/7.51 % (2996006)Peak memory usage: 91 MB
% 20.83/7.51 % (2996006)Instructions burned: 116 (million)
% 20.83/7.51 % (2996006)------------------------------
% 20.83/7.51 % (2996006)------------------------------
% 20.83/7.51 % (2996013)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=101478719:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 20.83/7.51 % (2996013)Instruction limit reached!
% 20.83/7.51 % (2996013)------------------------------
% 20.83/7.51 % (2996013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996013)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996013)Termination reason: Instruction limit
% 20.83/7.51 % (2996013)Termination phase: Saturation
% 20.83/7.51 % (2996013)Time elapsed: 0.091 s
% 20.83/7.51 % (2996013)Peak memory usage: 93 MB
% 20.83/7.51 % (2996013)Instructions burned: 134 (million)
% 20.83/7.51 % (2996003)Instruction limit reached!
% 20.83/7.51 % (2996003)------------------------------
% 20.83/7.51 % (2996003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996003)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996003)Termination reason: Instruction limit
% 20.83/7.51 % (2996003)Termination phase: Saturation
% 20.83/7.51 % (2996003)Time elapsed: 0.900 s
% 20.83/7.51 % (2996003)Peak memory usage: 101 MB
% 20.83/7.51 % (2996003)Instructions burned: 907 (million)
% 20.83/7.51 % (2996015)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3470994907:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 20.83/7.51 % (2996015)Refutation not found, incomplete strategy
% 20.83/7.51 % (2996015)------------------------------
% 20.83/7.51 % (2996015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996015)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996015)Termination reason: Refutation not found, incomplete strategy
% 20.83/7.51 % (2996015)Time elapsed: 0.027 s
% 20.83/7.51 % (2996015)Peak memory usage: 89 MB
% 20.83/7.51 % (2996015)Instructions burned: 29 (million)
% 20.83/7.51 % (2996016)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3460541638:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 20.83/7.51 % (2996015)------------------------------
% 20.83/7.51 % (2996015)------------------------------
% 20.83/7.51 % (2996021)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=2473424180:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/125Mi)
% 20.83/7.51 % (2996021)Instruction limit reached!
% 20.83/7.51 % (2996021)------------------------------
% 20.83/7.51 % (2996021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996021)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996021)Termination reason: Instruction limit
% 20.83/7.51 % (2996021)Termination phase: Saturation
% 20.83/7.51 % (2996021)Time elapsed: 0.095 s
% 20.83/7.51 % (2996021)Peak memory usage: 92 MB
% 20.83/7.51 % (2996021)Instructions burned: 125 (million)
% 20.83/7.51 % (2995994)Instruction limit reached!
% 20.83/7.51 % (2995994)------------------------------
% 20.83/7.51 % (2995994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2995994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2995994)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2995994)Termination reason: Instruction limit
% 20.83/7.51 % (2995994)Termination phase: Saturation
% 20.83/7.51 % (2995994)Time elapsed: 2.410 s
% 20.83/7.51 % (2995994)Peak memory usage: 151 MB
% 20.83/7.51 % (2995994)Instructions burned: 2350 (million)
% 20.83/7.51 % (2996023)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1273174286:i=134:gtgl=5:slsql=off:gtg=exists_sym_2965 on theBenchmark for (2965ds/134Mi)
% 20.83/7.51 % (2996026)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3130071502:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 20.83/7.51 % (2996026)Refutation not found, incomplete strategy
% 20.83/7.51 % (2996026)------------------------------
% 20.83/7.51 % (2996026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996026)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996026)Termination reason: Refutation not found, incomplete strategy
% 20.83/7.51 % (2996026)Time elapsed: 0.005 s
% 20.83/7.51 % (2996026)Peak memory usage: 89 MB
% 20.83/7.51 % (2996026)Instructions burned: 4 (million)
% 20.83/7.51 % (2996023)Instruction limit reached!
% 20.83/7.51 % (2996023)------------------------------
% 20.83/7.51 % (2996023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996023)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996023)Termination reason: Instruction limit
% 20.83/7.51 % (2996023)Termination phase: Saturation
% 20.83/7.51 % (2996023)Time elapsed: 0.114 s
% 20.83/7.51 % (2996023)Peak memory usage: 92 MB
% 20.83/7.51 % (2996023)Instructions burned: 134 (million)
% 20.83/7.51 % (2996029)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=829149642:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2961 on theBenchmark for (2961ds/431Mi)
% 20.83/7.51 % (2996029)Refutation not found, incomplete strategy
% 20.83/7.51 % (2996029)------------------------------
% 20.83/7.51 % (2996029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996029)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996029)Termination reason: Refutation not found, incomplete strategy
% 20.83/7.51 % (2996029)Time elapsed: 0.006 s
% 20.83/7.51 % (2996029)Peak memory usage: 89 MB
% 20.83/7.51 % (2996029)Instructions burned: 4 (million)
% 20.83/7.51 % (2996026)------------------------------
% 20.83/7.51 % (2996026)------------------------------
% 20.83/7.51 % (2996035)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=4221694027:i=6060:aac=none:ins=25_2958 on theBenchmark for (2958ds/6060Mi)
% 20.83/7.51 % (2996029)------------------------------
% 20.83/7.51 % (2996029)------------------------------
% 20.83/7.51 % (2996037)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=4074423046:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 20.83/7.51 % (2996037)Instruction limit reached!
% 20.83/7.51 % (2996037)------------------------------
% 20.83/7.51 % (2996037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.83/7.51 % (2996037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.83/7.51 % (2996037)CaDiCaL version: 2.1.3
% 20.83/7.51 % (2996037)Termination reason: Instruction limit
% 20.83/7.51 % (2996037)Termination phase: Saturation
% 20.83/7.51 % (2996037)Time elapsed: 0.101 s
% 20.83/7.51 % (2996037)Peak memory usage: 92 MB
% 20.83/7.51 % (2996037)Instructions burned: 150 (million)
% 20.83/7.51 % (2996039)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2828744097:i=14155:bd=all_2953 on theBenchmark for (2953ds/14155Mi)
% 20.83/7.51 % (2996035)First to succeed.
% 20.83/7.51 % (2996035)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2995952"
% 20.83/7.51 % (2996035)Refutation found. Thanks to Tanya!
% 20.83/7.51 % SZS status Theorem for theBenchmark
% 20.83/7.51 % SZS output start Proof for theBenchmark
% See solution above
% 46.13/7.83 % (2996035)------------------------------
% 46.13/7.83 % (2996035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.13/7.83 % (2996035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.13/7.83 % (2996035)CaDiCaL version: 2.1.3
% 46.13/7.83 % (2996035)Termination reason: Refutation
% 46.13/7.83 % (2996035)Time elapsed: 1.647 s
% 46.13/7.83 % (2996035)Peak memory usage: 151 MB
% 46.13/7.83 % (2996035)Instructions burned: 1714 (million)
% 46.13/7.83 % (2996035)------------------------------
% 46.13/7.83 % (2996035)------------------------------
% 46.13/7.83 % (2995952)Success in time 6.475 s
% 46.13/7.83 % Vampire exiting
%------------------------------------------------------------------------------