%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM671+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 : n005.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 12:16:22 PM UTC 2026
% Result : Theorem 5.88s 2.17s
% Output : Refutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 88 ( 29 unt; 5 def)
% Number of atoms : 201 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 189 ( 76 ~; 83 |; 16 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 92 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0] : scratc1993598976d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1709815289bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1432314852d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc1993139790d_n_is = scratc326995781d_e_is(scratc1356107415nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc326995781d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc2103678827_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f317,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__55) ).
fof(f372,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__110) ).
fof(f394,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__132) ).
fof(f449,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(f450,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(f454,conjecture,
pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f455,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f454]) ).
fof(f456,plain,
~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f455]) ).
fof(f473,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2103678827_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f474,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2103678827_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f473]) ).
fof(f563,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f394]) ).
fof(f586,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,[],[f450]) ).
fof(f587,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,[],[f586]) ).
fof(f655,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2103678827_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc2103678827_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f474]) ).
fof(f656,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc2103678827_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2103678827_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1)) ) ),
inference(rectify,[],[f655]) ).
fof(f657,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc2103678827_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc2103678827_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f656]) ).
fof(f731,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f317]) ).
fof(f801,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f372]) ).
fof(f829,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f563]) ).
fof(f830,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f829]) ).
fof(f928,plain,
! [X0] : scratc1993598976d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1709815289bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1432314852d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f954,plain,
scratc1993139790d_n_is = scratc326995781d_e_is(scratc1356107415nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1018,plain,
! [X0] : scratc326995781d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1103,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f657]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc294126638all_of(X0),X1)) ),
inference(cnf_transformation,[],[f657]) ).
fof(f1361,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(cnf_transformation,[],[f731]) ).
fof(f1484,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(cnf_transformation,[],[f801]) ).
fof(f1538,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1539,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1993598976d_n_pl(X1),X2))) ),
inference(cnf_transformation,[],[f830]) ).
fof(f1655,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f449]) ).
fof(f1656,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,[],[f587]) ).
fof(f1660,plain,
~ pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f456]) ).
fof(f1685,plain,
scratc1993139790d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f954,f1018]) ).
fof(f1765,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1709815289bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1432314852d_plus,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1709815289bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1432314852d_plus,X1)),X2)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1539,f928,f928]) ).
fof(f1812,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f1655]) ).
fof(f1813,definition,
sF25 = scratc294126638all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1814,plain,
scratc294126638all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1813]) ).
fof(f1815,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1816,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ac) = sF26,
inference(reorient_equations,[],[f1815]) ).
fof(f1817,plain,
~ pp(sF26),
inference(definition_folding,[],[f1660,f1816,f1814]) ).
fof(f1848,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(superposition,[],[f1361,f1814]) ).
fof(f1852,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X2),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ),
inference(resolution,[],[f1538,f1105]) ).
fof(f1863,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f1656,f1685]) ).
fof(f1864,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X1)) ),
inference(resolution,[],[f1484,f1852]) ).
fof(f1869,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0))))
| pp(aa_fun171081125l_bool(scratc294126638all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f1864,f1105]) ).
fof(f1873,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1)))
| sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)) = X1
| ~ gg_TPTP_ind(X1)
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1))) ),
inference(resolution,[],[f1869,f1863]) ).
fof(f1874,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1)))
| sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)) = X1
| ~ gg_TPTP_ind(X1) ),
inference(forward_subsumption_resolution,[],[f1873,f1103]) ).
fof(f1875,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ gg_TPTP_ind(X0)
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)) = X0 ),
inference(resolution,[],[f1874,f1361]) ).
fof(f1877,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ac))
| sK12(X0,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(X0,aTP_Lamm_ac)))
| pp(aa_fun171081125l_bool(scratc294126638all_of(X0),aTP_Lamm_ac)) ),
inference(resolution,[],[f1875,f1105]) ).
fof(f1878,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc294126638all_of(X0),aTP_Lamm_ac))
| sK12(X0,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(X0,aTP_Lamm_ac))) ),
inference(forward_subsumption_resolution,[],[f1877,f1103]) ).
fof(f1879,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac))
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
inference(superposition,[],[f1878,f1814]) ).
fof(f1880,plain,
( pp(sF26)
| sK12(aTP_Lamm_a,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
inference(forward_demodulation,[],[f1879,f1816]) ).
fof(f1881,plain,
sK12(aTP_Lamm_a,aTP_Lamm_ac) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),
inference(forward_subsumption_resolution,[],[f1880,f1817]) ).
fof(f1886,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
inference(superposition,[],[f1105,f1881]) ).
fof(f1887,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
inference(forward_demodulation,[],[f1886,f1814]) ).
fof(f1890,definition,
( spl27_3
<=> pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f1892,plain,
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1899,definition,
( spl27_5
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f1900,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl27_5 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1901,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1904,definition,
( spl27_6
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f1906,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl27_6 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1907,plain,
( ~ spl27_6
| spl27_3 ),
inference(avatar_split_clause,[],[f1887,f1890,f1904]) ).
fof(f1970,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1993139790d_n_is,X0),X0)),
inference(superposition,[],[f1812,f1685]) ).
fof(f1973,plain,
! [X0,X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X0),X1)),
inference(resolution,[],[f1970,f1765]) ).
fof(f1975,plain,
! [X0,X1] : pp(aa_fun171081125l_bool(scratc294126638all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X1))),
inference(resolution,[],[f1973,f1105]) ).
fof(f1976,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X0)),
inference(resolution,[],[f1975,f1484]) ).
fof(f1979,plain,
( $false
| spl27_6 ),
inference(resolution,[],[f1976,f1906]) ).
fof(f1980,plain,
spl27_6,
inference(avatar_contradiction_clause,[],[f1979]) ).
fof(f1981,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_3 ),
inference(resolution,[],[f1892,f1848]) ).
fof(f1983,plain,
( $false
| ~ spl27_3
| spl27_5 ),
inference(forward_subsumption_resolution,[],[f1981,f1900]) ).
fof(f1984,plain,
( ~ spl27_3
| spl27_5 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1985,plain,
( pp(aa_fun171081125l_bool(scratc294126638all_of(aTP_Lamm_a),aTP_Lamm_ac))
| ~ spl27_5 ),
inference(resolution,[],[f1901,f1105]) ).
fof(f1986,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac))
| ~ spl27_5 ),
inference(forward_demodulation,[],[f1985,f1814]) ).
fof(f1987,plain,
( pp(sF26)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f1986,f1816]) ).
fof(f1988,plain,
( $false
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f1987,f1817]) ).
fof(f1989,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f1988]) ).
cnf(s5,plain,
( spl27_3
| ~ spl27_6 ),
inference(sat_conversion,[],[f1907]) ).
cnf(s8,plain,
spl27_6,
inference(sat_conversion,[],[f1980]) ).
cnf(s9,plain,
( ~ spl27_3
| spl27_5 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s10,plain,
~ spl27_5,
inference(sat_conversion,[],[f1989]) ).
cnf(s11,plain,
~ spl27_3,
inference(rat,[],[s9,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s5,s8,s11]) ).
fof(f1990,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM671+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n005.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:02:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.88/2.17 % (156264)Detected formulas, will run a generic FOF schedule.
% 5.88/2.17 % (156273)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3211279138:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.88/2.17 % (156273)Refutation not found, incomplete strategy
% 5.88/2.17 % (156273)------------------------------
% 5.88/2.17 % (156273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156273)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156273)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156273)Time elapsed: 0.001 s
% 5.88/2.17 % (156273)Peak memory usage: 88 MB
% 5.88/2.17 % (156273)Instructions burned: 2 (million)
% 5.88/2.17 % (156269)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=3686649433:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.88/2.17 % (156270)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=2393969394:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.88/2.17 % (156272)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3602089998:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.88/2.17 % (156271)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=4008950168:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.88/2.17 % (156272)Refutation not found, incomplete strategy
% 5.88/2.17 % (156272)------------------------------
% 5.88/2.17 % (156272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156272)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156272)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156272)Time elapsed: 0.002 s
% 5.88/2.17 % (156272)Peak memory usage: 88 MB
% 5.88/2.17 % (156272)Instructions burned: 2 (million)
% 5.88/2.17 % (156275)dis-21_1_sil=8000:lcm=predicate:random_seed=3686906731: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)
% 5.88/2.17 % (156274)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=676718695:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.88/2.17 % (156275)Instruction limit reached!
% 5.88/2.17 % (156275)------------------------------
% 5.88/2.17 % (156275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156275)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156275)Termination reason: Instruction limit
% 5.88/2.17 % (156275)Termination phase: Saturation
% 5.88/2.17 % (156275)Time elapsed: 0.075 s
% 5.88/2.17 % (156275)Peak memory usage: 90 MB
% 5.88/2.17 % (156275)Instructions burned: 129 (million)
% 5.88/2.17 % (156274)Instruction limit reached!
% 5.88/2.17 % (156274)------------------------------
% 5.88/2.17 % (156274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156274)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156274)Termination reason: Instruction limit
% 5.88/2.17 % (156274)Termination phase: Saturation
% 5.88/2.17 % (156274)Time elapsed: 0.089 s
% 5.88/2.17 % (156274)Peak memory usage: 90 MB
% 5.88/2.17 % (156274)Instructions burned: 141 (million)
% 5.88/2.17 % (156273)------------------------------
% 5.88/2.17 % (156273)------------------------------
% 5.88/2.17 % (156283)lrs+10_1_sil=8000:sp=occurrence:random_seed=617657204:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.88/2.17 % (156285)lrs+1011_1_sil=32000:sp=occurrence:random_seed=301649522:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.88/2.17 % (156283)Refutation not found, incomplete strategy
% 5.88/2.17 % (156283)------------------------------
% 5.88/2.17 % (156283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156283)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156283)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156283)Time elapsed: 0.003 s
% 5.88/2.17 % (156283)Peak memory usage: 88 MB
% 5.88/2.17 % (156283)Instructions burned: 2 (million)
% 5.88/2.17 % (156285)Refutation not found, incomplete strategy
% 5.88/2.17 % (156285)------------------------------
% 5.88/2.17 % (156285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156285)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156285)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156285)Time elapsed: 0.002 s
% 5.88/2.17 % (156285)Peak memory usage: 89 MB
% 5.88/2.17 % (156285)Instructions burned: 5 (million)
% 5.88/2.17 % (156284)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2922622021:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.88/2.17 % (156284)Refutation not found, incomplete strategy
% 5.88/2.17 % (156284)------------------------------
% 5.88/2.17 % (156284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156284)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156284)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156284)Time elapsed: 0.004 s
% 5.88/2.17 % (156284)Peak memory usage: 88 MB
% 5.88/2.17 % (156284)Instructions burned: 7 (million)
% 5.88/2.17 % (156272)------------------------------
% 5.88/2.17 % (156272)------------------------------
% 5.88/2.17 % (156285)------------------------------
% 5.88/2.17 % (156285)------------------------------
% 5.88/2.17 % (156289)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=3002610833:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.88/2.17 % (156283)------------------------------
% 5.88/2.17 % (156283)------------------------------
% 5.88/2.17 % (156290)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1826446188:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.88/2.17 % (156290)Refutation not found, incomplete strategy
% 5.88/2.17 % (156290)------------------------------
% 5.88/2.17 % (156290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156290)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156290)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156290)Time elapsed: 0.002 s
% 5.88/2.17 % (156290)Peak memory usage: 88 MB
% 5.88/2.17 % (156290)Instructions burned: 6 (million)
% 5.88/2.17 % (156284)------------------------------
% 5.88/2.17 % (156284)------------------------------
% 5.88/2.17 % (156289)Instruction limit reached!
% 5.88/2.17 % (156289)------------------------------
% 5.88/2.17 % (156289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156289)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156289)Termination reason: Instruction limit
% 5.88/2.17 % (156289)Termination phase: Saturation
% 5.88/2.17 % (156289)Time elapsed: 0.131 s
% 5.88/2.17 % (156289)Peak memory usage: 94 MB
% 5.88/2.17 % (156289)Instructions burned: 249 (million)
% 5.88/2.17 % (156293)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4011991471:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.88/2.17 % (156290)------------------------------
% 5.88/2.17 % (156290)------------------------------
% 5.88/2.17 % (156294)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=651910799:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.88/2.17 % (156295)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=17793459:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.88/2.17 % (156294)Instruction limit reached!
% 5.88/2.17 % (156294)------------------------------
% 5.88/2.17 % (156294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156294)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156294)Termination reason: Instruction limit
% 5.88/2.17 % (156294)Termination phase: Saturation
% 5.88/2.17 % (156294)Time elapsed: 0.065 s
% 5.88/2.17 % (156294)Peak memory usage: 90 MB
% 5.88/2.17 % (156294)Instructions burned: 114 (million)
% 5.88/2.17 % (156297)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=448563053:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 5.88/2.17 % (156295)Instruction limit reached!
% 5.88/2.17 % (156295)------------------------------
% 5.88/2.17 % (156295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156295)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156295)Termination reason: Instruction limit
% 5.88/2.17 % (156295)Termination phase: Saturation
% 5.88/2.17 % (156295)Time elapsed: 0.062 s
% 5.88/2.17 % (156295)Peak memory usage: 89 MB
% 5.88/2.17 % (156295)Instructions burned: 127 (million)
% 5.88/2.17 % (156297)Instruction limit reached!
% 5.88/2.17 % (156297)------------------------------
% 5.88/2.17 % (156297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156297)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156297)Termination reason: Instruction limit
% 5.88/2.17 % (156297)Termination phase: Saturation
% 5.88/2.17 % (156297)Time elapsed: 0.034 s
% 5.88/2.17 % (156297)Peak memory usage: 89 MB
% 5.88/2.17 % (156297)Instructions burned: 115 (million)
% 5.88/2.17 % (156300)lrs+10_1_sil=8000:sp=occurrence:random_seed=759600060:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 5.88/2.17 % (156300)Refutation not found, incomplete strategy
% 5.88/2.17 % (156300)------------------------------
% 5.88/2.17 % (156300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156300)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156300)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156300)Time elapsed: 0.003 s
% 5.88/2.17 % (156300)Peak memory usage: 88 MB
% 5.88/2.17 % (156300)Instructions burned: 2 (million)
% 5.88/2.17 % (156269)First to succeed.
% 5.88/2.17 % (156269)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-156264"
% 5.88/2.17 % (156303)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4282811143:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 5.88/2.17 % (156302)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3007974947:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 5.88/2.17 % (156302)Refutation not found, incomplete strategy
% 5.88/2.17 % (156302)------------------------------
% 5.88/2.17 % (156302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.88/2.17 % (156302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.88/2.17 % (156302)CaDiCaL version: 2.1.3
% 5.88/2.17 % (156302)Termination reason: Refutation not found, incomplete strategy
% 5.88/2.17 % (156302)Time elapsed: 0.033 s
% 5.88/2.17 % (156302)Peak memory usage: 90 MB
% 5.88/2.17 % (156302)Instructions burned: 61 (million)
% 5.88/2.17 % (156300)------------------------------
% 5.88/2.17 % (156300)------------------------------
% 5.88/2.17 % (156270)Also succeeded, but the first one will report.
% 5.88/2.17 % (156269)Refutation found. Thanks to Tanya!
% 5.88/2.17 % SZS status Theorem for theBenchmark
% 5.88/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.63/2.36 % (156269)------------------------------
% 9.63/2.36 % (156269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.36 % (156269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.36 % (156269)CaDiCaL version: 2.1.3
% 9.63/2.36 % (156269)Termination reason: Refutation
% 9.63/2.36 % (156269)Time elapsed: 0.854 s
% 9.63/2.36 % (156269)Peak memory usage: 140 MB
% 9.63/2.36 % (156269)Instructions burned: 1340 (million)
% 9.63/2.36 % (156269)------------------------------
% 9.63/2.36 % (156269)------------------------------
% 9.63/2.36 % (156264)Success in time 1.301 s
% 9.63/2.36 % Vampire exiting
%------------------------------------------------------------------------------