%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM781+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 : n001.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 12:16:58 PM UTC 2026
% Result : Theorem 6.94s 2.61s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 86 ( 26 unt; 6 def)
% Number of atoms : 198 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 186 ( 74 ~; 83 |; 15 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 63 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
scratc1780638511_rt_is = scratc1533492748d_e_is(scratc2010197730nd_rat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__rt__is) ).
fof(f122,axiom,
scratc1052153109d_n_is = scratc1533492748d_e_is(scratc1977151710nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f169,axiom,
! [X0] : scratc1533492748d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f216,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1588370020_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f742,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__231) ).
fof(f791,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__280) ).
fof(f1236,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(f1240,conjecture,
pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1241,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1240]) ).
fof(f1242,plain,
~ pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1241]) ).
fof(f1259,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1588370020_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f216]) ).
fof(f1260,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1588370020_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1259]) ).
fof(f1339,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f791]) ).
fof(f1580,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,[],[f1236]) ).
fof(f1581,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,[],[f1580]) ).
fof(f1664,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1588370020_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1588370020_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1260]) ).
fof(f1665,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1588370020_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1588370020_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1)) ) ),
inference(rectify,[],[f1664]) ).
fof(f1666,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1588370020_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1588370020_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1665]) ).
fof(f1916,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f742]) ).
fof(f1984,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1339]) ).
fof(f1985,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f1984]) ).
fof(f2607,plain,
scratc1780638511_rt_is = scratc1533492748d_e_is(scratc2010197730nd_rat),
inference(cnf_transformation,[],[f41]) ).
fof(f2720,plain,
scratc1052153109d_n_is = scratc1533492748d_e_is(scratc1977151710nd_nat),
inference(cnf_transformation,[],[f122]) ).
fof(f2784,plain,
! [X0] : scratc1533492748d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f169]) ).
fof(f2869,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1666]) ).
fof(f2871,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc91799413all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1666]) ).
fof(f3659,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1916]) ).
fof(f3774,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),X1)) ),
inference(cnf_transformation,[],[f1985]) ).
fof(f3775,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1985]) ).
fof(f4880,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,[],[f1581]) ).
fof(f4884,plain,
~ pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1242]) ).
fof(f4895,plain,
scratc1780638511_rt_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2607,f2784]) ).
fof(f4953,plain,
scratc1052153109d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f2720,f2784]) ).
fof(f5229,definition,
sF25 = scratc91799413all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f5230,plain,
scratc91799413all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f5229]) ).
fof(f5231,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f5232,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f5231]) ).
fof(f5233,plain,
~ pp(sF26),
inference(definition_folding,[],[f4884,f5232,f5230]) ).
fof(f5285,plain,
scratc1780638511_rt_is = scratc1052153109d_n_is,
inference(forward_demodulation,[],[f4895,f4953]) ).
fof(f5303,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1780638511_rt_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc91799413all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3774,f2871]) ).
fof(f5304,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc91799413all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_demodulation,[],[f5303,f5285]) ).
fof(f5306,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(superposition,[],[f3659,f5230]) ).
fof(f5308,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(superposition,[],[f3775,f5285]) ).
fof(f5317,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f4880,f4953]) ).
fof(f5318,plain,
! [X0,X1] :
( sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)) = X0
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc91799413all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f5317,f5304]) ).
fof(f5319,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ gg_TPTP_ind(X0)
| sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f5318,f2869]) ).
fof(f5320,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)) = X0
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f5319,f3659]) ).
fof(f5322,plain,
! [X0] :
( sK12(X0,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc91799413all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f5320,f2871]) ).
fof(f5323,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc91799413all_of(X0),aTP_Lamm_ab))
| sK12(X0,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab))) ),
inference(forward_subsumption_resolution,[],[f5322,f2869]) ).
fof(f5324,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
inference(superposition,[],[f5323,f5230]) ).
fof(f5325,plain,
( pp(sF26)
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
inference(forward_demodulation,[],[f5324,f5232]) ).
fof(f5326,plain,
sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),
inference(forward_subsumption_resolution,[],[f5325,f5233]) ).
fof(f5330,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
inference(superposition,[],[f5304,f5326]) ).
fof(f5331,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
inference(superposition,[],[f2871,f5326]) ).
fof(f5332,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
inference(forward_demodulation,[],[f5331,f5230]) ).
fof(f5333,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
inference(forward_demodulation,[],[f5330,f5230]) ).
fof(f5335,definition,
( spl27_3
<=> pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f5337,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f5335]) ).
fof(f5344,definition,
( spl27_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f5346,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f5344]) ).
fof(f5349,definition,
( spl27_6
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f5351,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl27_6 ),
inference(avatar_component_clause,[],[f5349]) ).
fof(f5352,plain,
( ~ spl27_6
| spl27_3 ),
inference(avatar_split_clause,[],[f5332,f5335,f5349]) ).
fof(f5354,definition,
( spl27_7
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f5356,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1052153109d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f5354]) ).
fof(f5357,plain,
( spl27_7
| spl27_3 ),
inference(avatar_split_clause,[],[f5333,f5335,f5354]) ).
fof(f5361,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_7 ),
inference(resolution,[],[f5356,f5308]) ).
fof(f5363,plain,
( $false
| spl27_6
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f5361,f5351]) ).
fof(f5364,plain,
( spl27_6
| ~ spl27_7 ),
inference(avatar_contradiction_clause,[],[f5363]) ).
fof(f5366,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_3 ),
inference(resolution,[],[f5337,f5306]) ).
fof(f5367,plain,
( spl27_5
| ~ spl27_3 ),
inference(avatar_split_clause,[],[f5366,f5335,f5344]) ).
fof(f5368,plain,
( pp(aa_fun171081125l_bool(scratc91799413all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_5 ),
inference(resolution,[],[f5346,f2871]) ).
fof(f5369,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_5 ),
inference(forward_demodulation,[],[f5368,f5230]) ).
fof(f5370,plain,
( pp(sF26)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f5369,f5232]) ).
fof(f5371,plain,
( $false
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f5370,f5233]) ).
fof(f5372,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f5371]) ).
cnf(s5,plain,
( spl27_3
| ~ spl27_6 ),
inference(sat_conversion,[],[f5352]) ).
cnf(s6,plain,
( spl27_3
| spl27_7 ),
inference(sat_conversion,[],[f5357]) ).
cnf(s7,plain,
( spl27_6
| ~ spl27_7 ),
inference(sat_conversion,[],[f5364]) ).
cnf(s8,plain,
( ~ spl27_3
| spl27_5 ),
inference(sat_conversion,[],[f5367]) ).
cnf(s9,plain,
~ spl27_5,
inference(sat_conversion,[],[f5372]) ).
cnf(s10,plain,
~ spl27_3,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
spl27_7,
inference(rat,[],[s6,s10]) ).
cnf(s12,plain,
spl27_6,
inference(rat,[],[s7,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s5,s12,s10]) ).
fof(f5373,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM781+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n001.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 21:28:03 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.33/2.53 % (3962126)Detected formulas, will run a generic FOF schedule.
% 11.33/2.53 % (3962202)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1434912981:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.33/2.53 % (3962202)Instruction limit reached!
% 11.33/2.53 % (3962202)------------------------------
% 11.33/2.53 % (3962202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.53 % (3962202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.53 % (3962202)CaDiCaL version: 2.1.3
% 11.33/2.53 % (3962202)Termination reason: Instruction limit
% 11.33/2.53 % (3962202)Termination phase: Saturation
% 11.33/2.53 % (3962202)Time elapsed: 0.036 s
% 11.33/2.53 % (3962202)Peak memory usage: 91 MB
% 11.33/2.53 % (3962202)Instructions burned: 141 (million)
% 11.33/2.53 % (3962200)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=513239894:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.33/2.53 % (3962197)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=4202651339:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.33/2.53 % (3962198)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4159955319:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.33/2.53 % (3962195)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=664895752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.33/2.53 % (3962194)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=3889772087:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.33/2.53 % (3962203)dis-21_1_sil=8000:lcm=predicate:random_seed=146444791:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.33/2.53 % (3962198)Refutation not found, incomplete strategy
% 11.33/2.53 % (3962198)------------------------------
% 11.33/2.53 % (3962198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.53 % (3962198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.53 % (3962198)CaDiCaL version: 2.1.3
% 11.33/2.53 % (3962198)Termination reason: Refutation not found, incomplete strategy
% 11.33/2.53 % (3962198)Time elapsed: 0.004 s
% 11.33/2.53 % (3962198)Peak memory usage: 89 MB
% 11.33/2.53 % (3962198)Instructions burned: 6 (million)
% 11.33/2.53 % (3962200)Refutation not found, incomplete strategy
% 11.33/2.53 % (3962200)------------------------------
% 11.33/2.53 % (3962200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.53 % (3962200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.53 % (3962200)CaDiCaL version: 2.1.3
% 11.33/2.53 % (3962200)Termination reason: Refutation not found, incomplete strategy
% 11.33/2.53 % (3962200)Time elapsed: 0.006 s
% 11.33/2.53 % (3962200)Peak memory usage: 89 MB
% 11.33/2.53 % (3962200)Instructions burned: 7 (million)
% 11.33/2.53 % (3962203)Instruction limit reached!
% 11.33/2.53 % (3962203)------------------------------
% 11.33/2.53 % (3962203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.53 % (3962203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.53 % (3962203)CaDiCaL version: 2.1.3
% 11.33/2.53 % (3962203)Termination reason: Instruction limit
% 11.33/2.53 % (3962203)Termination phase: Saturation
% 11.33/2.53 % (3962203)Time elapsed: 0.057 s
% 11.33/2.53 % (3962203)Peak memory usage: 90 MB
% 11.33/2.53 % (3962203)Instructions burned: 130 (million)
% 11.33/2.53 % (3962262)lrs+10_1_sil=8000:sp=occurrence:random_seed=2496774265:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.33/2.53 % (3962262)Refutation not found, incomplete strategy
% 11.33/2.53 % (3962262)------------------------------
% 11.33/2.53 % (3962262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.33/2.53 % (3962262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.33/2.53 % (3962262)CaDiCaL version: 2.1.3
% 11.33/2.53 % (3962262)Termination reason: Refutation not found, incomplete strategy
% 11.33/2.53 % (3962262)Time elapsed: 0.006 s
% 11.33/2.53 % (3962262)Peak memory usage: 90 MB
% 11.33/2.53 % (3962262)Instructions burned: 15 (million)
% 11.33/2.53 % (3962282)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3752537673:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.94/2.61 % (3962282)Refutation not found, incomplete strategy
% 6.94/2.61 % (3962282)------------------------------
% 6.94/2.61 % (3962282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962282)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962282)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.61 % (3962282)Time elapsed: 0.010 s
% 6.94/2.61 % (3962282)Peak memory usage: 89 MB
% 6.94/2.61 % (3962282)Instructions burned: 20 (million)
% 6.94/2.61 % (3962200)------------------------------
% 6.94/2.61 % (3962200)------------------------------
% 6.94/2.61 % (3962198)------------------------------
% 6.94/2.61 % (3962198)------------------------------
% 6.94/2.61 % (3962262)------------------------------
% 6.94/2.61 % (3962262)------------------------------
% 6.94/2.61 % (3962319)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2094649825:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.94/2.61 % (3962317)lrs+1011_1_sil=32000:sp=occurrence:random_seed=907169653:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 6.94/2.61 % (3962318)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=366608592:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.94/2.61 % (3962319)Refutation not found, incomplete strategy
% 6.94/2.61 % (3962319)------------------------------
% 6.94/2.61 % (3962319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962319)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962319)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.61 % (3962319)Time elapsed: 0.005 s
% 6.94/2.61 % (3962319)Peak memory usage: 90 MB
% 6.94/2.61 % (3962319)Instructions burned: 14 (million)
% 6.94/2.61 % (3962317)Refutation not found, incomplete strategy
% 6.94/2.61 % (3962317)------------------------------
% 6.94/2.61 % (3962317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962317)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962317)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.61 % (3962317)Time elapsed: 0.007 s
% 6.94/2.61 % (3962317)Peak memory usage: 90 MB
% 6.94/2.61 % (3962317)Instructions burned: 9 (million)
% 6.94/2.61 % (3962282)------------------------------
% 6.94/2.61 % (3962282)------------------------------
% 6.94/2.61 % (3962318)Instruction limit reached!
% 6.94/2.61 % (3962318)------------------------------
% 6.94/2.61 % (3962318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962318)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962318)Termination reason: Instruction limit
% 6.94/2.61 % (3962318)Termination phase: Saturation
% 6.94/2.61 % (3962318)Time elapsed: 0.140 s
% 6.94/2.61 % (3962318)Peak memory usage: 93 MB
% 6.94/2.61 % (3962318)Instructions burned: 249 (million)
% 6.94/2.61 % (3962319)------------------------------
% 6.94/2.61 % (3962319)------------------------------
% 6.94/2.61 % (3962370)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3979745884:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.94/2.61 % (3962317)------------------------------
% 6.94/2.61 % (3962317)------------------------------
% 6.94/2.61 % (3962372)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2515661078:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.94/2.61 % (3962371)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2230953010:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 6.94/2.61 % (3962372)Instruction limit reached!
% 6.94/2.61 % (3962372)------------------------------
% 6.94/2.61 % (3962372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962372)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962372)Termination reason: Instruction limit
% 6.94/2.61 % (3962372)Termination phase: Property scanning
% 6.94/2.61 % (3962372)Time elapsed: 0.032 s
% 6.94/2.61 % (3962372)Peak memory usage: 89 MB
% 6.94/2.61 % (3962372)Instructions burned: 130 (million)
% 6.94/2.61 % (3962371)Instruction limit reached!
% 6.94/2.61 % (3962371)------------------------------
% 6.94/2.61 % (3962371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962371)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962371)Termination reason: Instruction limit
% 6.94/2.61 % (3962371)Termination phase: Saturation
% 6.94/2.61 % (3962371)Time elapsed: 0.055 s
% 6.94/2.61 % (3962371)Peak memory usage: 91 MB
% 6.94/2.61 % (3962371)Instructions burned: 114 (million)
% 6.94/2.61 % (3962374)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3607898992:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 6.94/2.61 % (3962377)lrs+10_1_sil=8000:sp=occurrence:random_seed=350869569:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 6.94/2.61 % (3962374)Instruction limit reached!
% 6.94/2.61 % (3962374)------------------------------
% 6.94/2.61 % (3962374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962374)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962374)Termination reason: Instruction limit
% 6.94/2.61 % (3962374)Termination phase: Saturation
% 6.94/2.61 % (3962374)Time elapsed: 0.059 s
% 6.94/2.61 % (3962374)Peak memory usage: 90 MB
% 6.94/2.61 % (3962374)Instructions burned: 115 (million)
% 6.94/2.61 % (3962378)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4146070390:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.94/2.61 % (3962378)Refutation not found, incomplete strategy
% 6.94/2.61 % (3962378)------------------------------
% 6.94/2.61 % (3962378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962378)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962378)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.61 % (3962378)Time elapsed: 0.090 s
% 6.94/2.61 % (3962378)Peak memory usage: 93 MB
% 6.94/2.61 % (3962378)Instructions burned: 184 (million)
% 6.94/2.61 % (3962381)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=72134500:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 6.94/2.61 % (3962377)Instruction limit reached!
% 6.94/2.61 % (3962377)------------------------------
% 6.94/2.61 % (3962377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962377)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962377)Termination reason: Instruction limit
% 6.94/2.61 % (3962377)Termination phase: Saturation
% 6.94/2.61 % (3962377)Time elapsed: 0.291 s
% 6.94/2.61 % (3962377)Peak memory usage: 101 MB
% 6.94/2.61 % (3962377)Instructions burned: 909 (million)
% 6.94/2.61 % (3962194)First to succeed.
% 6.94/2.61 % (3962194)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3962126"
% 6.94/2.61 % (3962378)------------------------------
% 6.94/2.61 % (3962378)------------------------------
% 6.94/2.61 % (3962384)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3597327690:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 6.94/2.61 % (3962384)Instruction limit reached!
% 6.94/2.61 % (3962384)------------------------------
% 6.94/2.61 % (3962384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962384)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962384)Termination reason: Instruction limit
% 6.94/2.61 % (3962384)Termination phase: Saturation
% 6.94/2.61 % (3962384)Time elapsed: 0.035 s
% 6.94/2.61 % (3962384)Peak memory usage: 91 MB
% 6.94/2.61 % (3962384)Instructions burned: 134 (million)
% 6.94/2.61 % (3962195)Also succeeded, but the first one will report.
% 6.94/2.61 % (3962385)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=661621040:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 6.94/2.61 % (3962385)Refutation not found, incomplete strategy
% 6.94/2.61 % (3962385)------------------------------
% 6.94/2.61 % (3962385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.94/2.61 % (3962385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.94/2.61 % (3962385)CaDiCaL version: 2.1.3
% 6.94/2.61 % (3962385)Termination reason: Refutation not found, incomplete strategy
% 6.94/2.61 % (3962385)Time elapsed: 0.020 s
% 6.94/2.61 % (3962385)Peak memory usage: 89 MB
% 6.94/2.61 % (3962385)Instructions burned: 37 (million)
% 6.94/2.61 % (3962387)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2564415466:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 6.94/2.61 % (3962194)Refutation found. Thanks to Tanya!
% 6.94/2.61 % SZS status Theorem for theBenchmark
% 6.94/2.61 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.81 % (3962194)------------------------------
% 0.19/2.81 % (3962194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.81 % (3962194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.81 % (3962194)CaDiCaL version: 2.1.3
% 0.19/2.81 % (3962194)Termination reason: Refutation
% 0.19/2.81 % (3962194)Time elapsed: 1.228 s
% 0.19/2.81 % (3962194)Peak memory usage: 163 MB
% 0.19/2.81 % (3962194)Instructions burned: 2082 (million)
% 0.19/2.81 % (3962194)------------------------------
% 0.19/2.81 % (3962194)------------------------------
% 0.19/2.81 % (3962126)Success in time 1.725 s
% 0.19/2.81 % Vampire exiting
%------------------------------------------------------------------------------