%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM641+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 : n012.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 4.23s 1.29s
% Output : Refutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 19 unt; 0 def)
% Number of atoms : 130 ( 17 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 129 ( 52 ~; 57 |; 12 &)
% ( 5 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 67 ( 65 !; 2 ?)
% 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] : scratc1084070009d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f43,axiom,
scratc1083610823d_n_is = scratc1564950462d_e_is(scratc193932176nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f90,axiom,
! [X0] : scratc1564950462d_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(scratc1829701671all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1451164978_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(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_bu)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz4c) ).
fof(f219,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__4) ).
fof(f223,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__8) ).
fof(f317,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(f318,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(f322,conjecture,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f323,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(negated_conjecture,[status(cth)],[f322]) ).
fof(f324,plain,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(flattening,[],[f323]) ).
fof(f340,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1451164978_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f137]) ).
fof(f341,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1451164978_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f340]) ).
fof(f425,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f318]) ).
fof(f426,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,[],[f425]) ).
fof(f490,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1451164978_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1451164978_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f341]) ).
fof(f491,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1451164978_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1451164978_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1)) ) ),
inference(rectify,[],[f490]) ).
fof(f492,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1451164978_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1451164978_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f491]) ).
fof(f514,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ) ),
inference(nnf_transformation,[],[f219]) ).
fof(f519,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f629,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f636,plain,
! [X0] : scratc1084070009d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,X0)),
inference(cnf_transformation,[],[f25]) ).
fof(f662,plain,
scratc1083610823d_n_is = scratc1564950462d_e_is(scratc193932176nd_nat),
inference(cnf_transformation,[],[f43]) ).
fof(f729,plain,
! [X0] : scratc1564950462d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f90]) ).
fof(f820,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
| ~ scratc1451164978_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f821,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f822,plain,
! [X0,X1] :
( scratc1451164978_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f823,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(X0),X1)) ),
inference(cnf_transformation,[],[f492]) ).
fof(f829,plain,
pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_bu)),
inference(cnf_transformation,[],[f142]) ).
fof(f937,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ),
inference(cnf_transformation,[],[f514]) ).
fof(f948,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc1084070009d_n_pl(scratc45782132nd_n_1),X0))) ),
inference(cnf_transformation,[],[f519]) ).
fof(f1138,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f317]) ).
fof(f1139,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(cnf_transformation,[],[f426]) ).
fof(f1143,plain,
~ pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(cnf_transformation,[],[f324]) ).
fof(f1154,plain,
scratc1083610823d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f662,f729]) ).
fof(f1197,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ),
inference(definition_unfolding,[],[f937,f636]) ).
fof(f1200,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1083610823d_n_is,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ),
inference(definition_unfolding,[],[f948,f636]) ).
fof(f1263,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f1138]) ).
fof(f1318,plain,
! [X0] :
( ~ scratc1451164978_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0)
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0)) ),
inference(resolution,[],[f829,f820]) ).
fof(f1324,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bu,X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X0)),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0))) ),
inference(superposition,[],[f1197,f1154]) ).
fof(f1338,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_bu,sK12(aTP_Lamm_a,X0))) ),
inference(resolution,[],[f822,f1318]) ).
fof(f1343,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bu,sK12(aTP_Lamm_a,X0)))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0)) ),
inference(forward_subsumption_resolution,[],[f1338,f821]) ).
fof(f1360,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,X0))),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0))))
| pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0)) ),
inference(resolution,[],[f1343,f1324]) ).
fof(f1493,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ),
inference(superposition,[],[f1200,f1154]) ).
fof(f1584,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,X0)) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,X0)))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0))) ),
inference(resolution,[],[f1360,f1139]) ).
fof(f1586,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,X0)) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0))) ),
inference(forward_subsumption_resolution,[],[f1584,f629]) ).
fof(f1587,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1829701671all_of(aTP_Lamm_a),X0))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,X0)) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,X0)) ),
inference(forward_subsumption_resolution,[],[f1586,f629]) ).
fof(f1588,plain,
aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1549486784bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1715799339d_plus,scratc45782132nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)) = aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_aa)),
inference(resolution,[],[f1587,f1143]) ).
fof(f1595,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_aa))),aa_TPTP_ind_TPTP_ind(scratc912327602rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_aa))))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
inference(superposition,[],[f1493,f1588]) ).
fof(f1601,plain,
pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa))),
inference(forward_subsumption_resolution,[],[f1595,f1263]) ).
fof(f1603,plain,
$false,
inference(unit_resulting_resolution,[],[f823,f1143,f1601]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM641+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 20:54:23 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 4.23/1.29 % (2725663)Detected formulas, will run a generic FOF schedule.
% 4.23/1.29 % (2725673)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=131313153:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.23/1.29 % (2725672)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4224306514:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.23/1.29 % (2725674)dis-21_1_sil=8000:lcm=predicate:random_seed=272817682: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)
% 4.23/1.29 % (2725668)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=1174251285:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.23/1.29 % (2725670)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=66942416:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.23/1.29 % (2725669)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=1493932553:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.23/1.29 % (2725671)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1266521030:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.23/1.29 % (2725671)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725671)------------------------------
% 4.23/1.29 % (2725671)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725671)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725671)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725671)Time elapsed: 0.001 s
% 4.23/1.29 % (2725671)Peak memory usage: 87 MB
% 4.23/1.29 % (2725671)Instructions burned: 1 (million)
% 4.23/1.29 % (2725672)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725672)------------------------------
% 4.23/1.29 % (2725672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725672)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725672)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725672)Time elapsed: 0.002 s
% 4.23/1.29 % (2725672)Peak memory usage: 88 MB
% 4.23/1.29 % (2725672)Instructions burned: 3 (million)
% 4.23/1.29 % (2725674)Instruction limit reached!
% 4.23/1.29 % (2725674)------------------------------
% 4.23/1.29 % (2725674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725674)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725674)Termination reason: Instruction limit
% 4.23/1.29 % (2725674)Termination phase: Saturation
% 4.23/1.29 % (2725674)Time elapsed: 0.043 s
% 4.23/1.29 % (2725674)Peak memory usage: 90 MB
% 4.23/1.29 % (2725674)Instructions burned: 130 (million)
% 4.23/1.29 % (2725673)Instruction limit reached!
% 4.23/1.29 % (2725673)------------------------------
% 4.23/1.29 % (2725673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725673)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725673)Termination reason: Instruction limit
% 4.23/1.29 % (2725673)Termination phase: Saturation
% 4.23/1.29 % (2725673)Time elapsed: 0.052 s
% 4.23/1.29 % (2725673)Peak memory usage: 90 MB
% 4.23/1.29 % (2725673)Instructions burned: 140 (million)
% 4.23/1.29 % (2725672)------------------------------
% 4.23/1.29 % (2725672)------------------------------
% 4.23/1.29 % (2725671)------------------------------
% 4.23/1.29 % (2725671)------------------------------
% 4.23/1.29 % (2725682)lrs+10_1_sil=8000:sp=occurrence:random_seed=851524267:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.23/1.29 % (2725683)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4255734214:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.23/1.29 % (2725682)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725682)------------------------------
% 4.23/1.29 % (2725682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725682)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725682)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725682)Time elapsed: 0.004 s
% 4.23/1.29 % (2725682)Peak memory usage: 89 MB
% 4.23/1.29 % (2725682)Instructions burned: 9 (million)
% 4.23/1.29 % (2725683)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725683)------------------------------
% 4.23/1.29 % (2725683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725683)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725683)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725683)Time elapsed: 0.002 s
% 4.23/1.29 % (2725683)Peak memory usage: 88 MB
% 4.23/1.29 % (2725683)Instructions burned: 5 (million)
% 4.23/1.29 % (2725685)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=1377996767:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.23/1.29 % (2725684)lrs+1011_1_sil=32000:sp=occurrence:random_seed=424798784:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.23/1.29 % (2725684)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725684)------------------------------
% 4.23/1.29 % (2725684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725684)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725684)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725684)Time elapsed: 0.004 s
% 4.23/1.29 % (2725684)Peak memory usage: 88 MB
% 4.23/1.29 % (2725684)Instructions burned: 8 (million)
% 4.23/1.29 % (2725683)------------------------------
% 4.23/1.29 % (2725683)------------------------------
% 4.23/1.29 % (2725682)------------------------------
% 4.23/1.29 % (2725682)------------------------------
% 4.23/1.29 % (2725685)Instruction limit reached!
% 4.23/1.29 % (2725685)------------------------------
% 4.23/1.29 % (2725685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725685)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725685)Termination reason: Instruction limit
% 4.23/1.29 % (2725685)Termination phase: Saturation
% 4.23/1.29 % (2725685)Time elapsed: 0.080 s
% 4.23/1.29 % (2725685)Peak memory usage: 93 MB
% 4.23/1.29 % (2725685)Instructions burned: 248 (million)
% 4.23/1.29 % (2725684)------------------------------
% 4.23/1.29 % (2725684)------------------------------
% 4.23/1.29 % (2725669)First to succeed.
% 4.23/1.29 % (2725669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2725663"
% 4.23/1.29 % (2725690)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2425549533:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.23/1.29 % (2725691)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3124923361:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.23/1.29 % (2725690)Refutation not found, incomplete strategy
% 4.23/1.29 % (2725690)------------------------------
% 4.23/1.29 % (2725690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725690)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725690)Termination reason: Refutation not found, incomplete strategy
% 4.23/1.29 % (2725690)Time elapsed: 0.003 s
% 4.23/1.29 % (2725690)Peak memory usage: 88 MB
% 4.23/1.29 % (2725690)Instructions burned: 8 (million)
% 4.23/1.29 % (2725692)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=499810362:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.23/1.29 % (2725692)Instruction limit reached!
% 4.23/1.29 % (2725692)------------------------------
% 4.23/1.29 % (2725692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.29 % (2725692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.29 % (2725692)CaDiCaL version: 2.1.3
% 4.23/1.29 % (2725692)Termination reason: Instruction limit
% 4.23/1.29 % (2725692)Termination phase: Saturation
% 4.23/1.29 % (2725692)Time elapsed: 0.038 s
% 4.23/1.29 % (2725692)Peak memory usage: 90 MB
% 4.23/1.29 % (2725692)Instructions burned: 114 (million)
% 4.23/1.29 % (2725693)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4131343377:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.23/1.29 % (2725690)------------------------------
% 4.23/1.29 % (2725690)------------------------------
% 4.23/1.29 % (2725669)Refutation found. Thanks to Tanya!
% 4.23/1.29 % SZS status Theorem for theBenchmark
% 4.23/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 5.49/1.38 % (2725669)------------------------------
% 5.49/1.38 % (2725669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.38 % (2725669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.38 % (2725669)CaDiCaL version: 2.1.3
% 5.49/1.38 % (2725669)Termination reason: Refutation
% 5.49/1.38 % (2725669)Time elapsed: 0.454 s
% 5.49/1.38 % (2725669)Peak memory usage: 132 MB
% 5.49/1.38 % (2725669)Instructions burned: 1281 (million)
% 5.49/1.38 % (2725669)------------------------------
% 5.49/1.38 % (2725669)------------------------------
% 5.49/1.38 % (2725663)Success in time 0.765 s
% 5.49/1.38 % Vampire exiting
%------------------------------------------------------------------------------