%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM674+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:16:24 PM UTC 2026
% Result : Theorem 14.84s 3.09s
% Output : Refutation 15.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 15
% Syntax : Number of formulae : 86 ( 29 unt; 5 def)
% Number of atoms : 196 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 184 ( 74 ~; 80 |; 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] : scratc559327873d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1924772536bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1610543395d_plus,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc558868687d_n_is = scratc1040208326d_e_is(scratc1958920600nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc1040208326d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc907179306_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f323,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__58) ).
fof(f381,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__116) ).
fof(f405,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(scratc558868687d_n_is,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__140) ).
fof(f461,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f462,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f466,conjecture,
pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f467,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f466]) ).
fof(f468,plain,
~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f467]) ).
fof(f485,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc907179306_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f486,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc907179306_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f485]) ).
fof(f577,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(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1)) ) ),
inference(ennf_transformation,[],[f405]) ).
fof(f601,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,[],[f462]) ).
fof(f602,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,[],[f601]) ).
fof(f670,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc907179306_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc907179306_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f486]) ).
fof(f671,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc907179306_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc907179306_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1)) ) ),
inference(rectify,[],[f670]) ).
fof(f672,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc907179306_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc907179306_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f671]) ).
fof(f749,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f323]) ).
fof(f822,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1649382959all_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,[],[f381]) ).
fof(f854,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(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f577]) ).
fof(f855,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(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f854]) ).
fof(f955,plain,
! [X0] : scratc559327873d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc1924772536bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1610543395d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f981,plain,
scratc558868687d_n_is = scratc1040208326d_e_is(scratc1958920600nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1045,plain,
! [X0] : scratc1040208326d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1130,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f672]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),X1)) ),
inference(cnf_transformation,[],[f672]) ).
fof(f1397,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(cnf_transformation,[],[f749]) ).
fof(f1526,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1649382959all_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,[],[f822]) ).
fof(f1586,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(scratc558868687d_n_is,X0),X1)) ),
inference(cnf_transformation,[],[f855]) ).
fof(f1587,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(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc559327873d_n_pl(X2),X1))) ),
inference(cnf_transformation,[],[f855]) ).
fof(f1706,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f461]) ).
fof(f1707,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,[],[f602]) ).
fof(f1711,plain,
~ pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f468]) ).
fof(f1736,plain,
scratc558868687d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f981,f1045]) ).
fof(f1820,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1924772536bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1610543395d_plus,X2)),X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1924772536bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1610543395d_plus,X2)),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1587,f955,f955]) ).
fof(f1869,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f1706]) ).
fof(f1870,definition,
sF25 = scratc1649382959all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1871,plain,
scratc1649382959all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1870]) ).
fof(f1872,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1873,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ac) = sF26,
inference(reorient_equations,[],[f1872]) ).
fof(f1874,plain,
~ pp(sF26),
inference(definition_folding,[],[f1711,f1873,f1871]) ).
fof(f1905,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,[],[f1397,f1871]) ).
fof(f1911,plain,
! [X2,X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_of(X2),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1)) ),
inference(resolution,[],[f1586,f1132]) ).
fof(f1920,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f1707,f1736]) ).
fof(f1921,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X1)) ),
inference(resolution,[],[f1526,f1911]) ).
fof(f1926,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),sK12(X1,aa_TPT43085870d_bool(aTP_Lamm_ab,X0))))
| pp(aa_fun171081125l_bool(scratc1649382959all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f1921,f1132]) ).
fof(f1930,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_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,[],[f1926,f1920]) ).
fof(f1931,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1649382959all_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,[],[f1930,f1130]) ).
fof(f1932,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,[],[f1931,f1397]) ).
fof(f1934,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(scratc1649382959all_of(X0),aTP_Lamm_ac)) ),
inference(resolution,[],[f1932,f1132]) ).
fof(f1935,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1649382959all_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,[],[f1934,f1130]) ).
fof(f1936,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,[],[f1935,f1871]) ).
fof(f1937,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,[],[f1936,f1873]) ).
fof(f1938,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,[],[f1937,f1874]) ).
fof(f1943,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(scratc1649382959all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
inference(superposition,[],[f1132,f1938]) ).
fof(f1944,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,[],[f1943,f1871]) ).
fof(f1947,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(f1949,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,[],[f1947]) ).
fof(f1956,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(f1958,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_5 ),
inference(avatar_component_clause,[],[f1956]) ).
fof(f1961,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(f1963,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,[],[f1961]) ).
fof(f1964,plain,
( ~ spl27_6
| spl27_3 ),
inference(avatar_split_clause,[],[f1944,f1947,f1961]) ).
fof(f1975,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc558868687d_n_is,X0),X0)),
inference(superposition,[],[f1869,f1736]) ).
fof(f1978,plain,
! [X0,X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X0),X1)),
inference(resolution,[],[f1975,f1820]) ).
fof(f1980,plain,
! [X0,X1] : pp(aa_fun171081125l_bool(scratc1649382959all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X1))),
inference(resolution,[],[f1978,f1132]) ).
fof(f1981,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X0)),
inference(resolution,[],[f1980,f1526]) ).
fof(f1983,plain,
( $false
| spl27_6 ),
inference(resolution,[],[f1981,f1963]) ).
fof(f1984,plain,
spl27_6,
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1985,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl27_3 ),
inference(resolution,[],[f1949,f1905]) ).
fof(f1986,plain,
( spl27_5
| ~ spl27_3 ),
inference(avatar_split_clause,[],[f1985,f1947,f1956]) ).
fof(f1987,plain,
( pp(aa_fun171081125l_bool(scratc1649382959all_of(aTP_Lamm_a),aTP_Lamm_ac))
| ~ spl27_5 ),
inference(resolution,[],[f1958,f1132]) ).
fof(f1988,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac))
| ~ spl27_5 ),
inference(forward_demodulation,[],[f1987,f1871]) ).
fof(f1989,plain,
( pp(sF26)
| ~ spl27_5 ),
inference(forward_demodulation,[],[f1988,f1873]) ).
fof(f1990,plain,
( $false
| ~ spl27_5 ),
inference(forward_subsumption_resolution,[],[f1989,f1874]) ).
fof(f1991,plain,
~ spl27_5,
inference(avatar_contradiction_clause,[],[f1990]) ).
cnf(s5,plain,
( spl27_3
| ~ spl27_6 ),
inference(sat_conversion,[],[f1964]) ).
cnf(s7,plain,
spl27_6,
inference(sat_conversion,[],[f1984]) ).
cnf(s8,plain,
( ~ spl27_3
| spl27_5 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s9,plain,
~ spl27_5,
inference(sat_conversion,[],[f1991]) ).
cnf(s10,plain,
~ spl27_3,
inference(rat,[],[s8,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s5,s7,s10]) ).
fof(f1992,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM674+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 % Computer : n015.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 21:06:16 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.84/3.09 % (2003238)Detected formulas, will run a generic FOF schedule.
% 14.84/3.09 % (2003250)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=380291497:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.84/3.09 % (2003254)dis-21_1_sil=8000:lcm=predicate:random_seed=3255974011: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)
% 14.84/3.09 % (2003252)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3315089515:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.84/3.09 % (2003248)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=3019581481:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.84/3.09 % (2003249)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=3548879866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.84/3.09 % (2003251)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3696110932:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.84/3.09 % (2003251)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003251)------------------------------
% 14.84/3.09 % (2003251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003251)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003251)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003251)Time elapsed: 0.003 s
% 14.84/3.09 % (2003251)Peak memory usage: 87 MB
% 14.84/3.09 % (2003251)Instructions burned: 2 (million)
% 14.84/3.09 % (2003252)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003252)------------------------------
% 14.84/3.09 % (2003252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003252)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003252)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003252)Time elapsed: 0.004 s
% 14.84/3.09 % (2003252)Peak memory usage: 88 MB
% 14.84/3.09 % (2003252)Instructions burned: 2 (million)
% 14.84/3.09 % (2003253)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=847688000:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.84/3.09 % (2003254)Instruction limit reached!
% 14.84/3.09 % (2003254)------------------------------
% 14.84/3.09 % (2003254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003254)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003254)Termination reason: Instruction limit
% 14.84/3.09 % (2003254)Termination phase: Saturation
% 14.84/3.09 % (2003254)Time elapsed: 0.130 s
% 14.84/3.09 % (2003254)Peak memory usage: 90 MB
% 14.84/3.09 % (2003254)Instructions burned: 129 (million)
% 14.84/3.09 % (2003253)Instruction limit reached!
% 14.84/3.09 % (2003253)------------------------------
% 14.84/3.09 % (2003253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003253)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003253)Termination reason: Instruction limit
% 14.84/3.09 % (2003253)Termination phase: Saturation
% 14.84/3.09 % (2003253)Time elapsed: 0.149 s
% 14.84/3.09 % (2003253)Peak memory usage: 90 MB
% 14.84/3.09 % (2003253)Instructions burned: 140 (million)
% 14.84/3.09 % (2003263)lrs+10_1_sil=8000:sp=occurrence:random_seed=3522110066:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.84/3.09 % (2003263)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003263)------------------------------
% 14.84/3.09 % (2003263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003263)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003263)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003263)Time elapsed: 0.005 s
% 14.84/3.09 % (2003263)Peak memory usage: 88 MB
% 14.84/3.09 % (2003263)Instructions burned: 2 (million)
% 14.84/3.09 % (2003252)------------------------------
% 14.84/3.09 % (2003252)------------------------------
% 14.84/3.09 % (2003251)------------------------------
% 14.84/3.09 % (2003251)------------------------------
% 14.84/3.09 % (2003264)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1127501433:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.84/3.09 % (2003264)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003264)------------------------------
% 14.84/3.09 % (2003264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003264)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003264)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003264)Time elapsed: 0.005 s
% 14.84/3.09 % (2003264)Peak memory usage: 88 MB
% 14.84/3.09 % (2003264)Instructions burned: 7 (million)
% 14.84/3.09 % (2003268)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=348929539:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.84/3.09 % (2003263)------------------------------
% 14.84/3.09 % (2003263)------------------------------
% 14.84/3.09 % (2003266)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3773734649:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 14.84/3.09 % (2003266)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003266)------------------------------
% 14.84/3.09 % (2003266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003266)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003266)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003266)Time elapsed: 0.008 s
% 14.84/3.09 % (2003266)Peak memory usage: 89 MB
% 14.84/3.09 % (2003266)Instructions burned: 5 (million)
% 14.84/3.09 % (2003268)Instruction limit reached!
% 14.84/3.09 % (2003268)------------------------------
% 14.84/3.09 % (2003268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003268)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003268)Termination reason: Instruction limit
% 14.84/3.09 % (2003268)Termination phase: Saturation
% 14.84/3.09 % (2003268)Time elapsed: 0.119 s
% 14.84/3.09 % (2003268)Peak memory usage: 94 MB
% 14.84/3.09 % (2003268)Instructions burned: 249 (million)
% 14.84/3.09 % (2003264)------------------------------
% 14.84/3.09 % (2003264)------------------------------
% 14.84/3.09 % (2003272)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3731719050:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 14.84/3.09 % (2003272)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003272)------------------------------
% 14.84/3.09 % (2003272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003272)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003272)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003272)Time elapsed: 0.008 s
% 14.84/3.09 % (2003272)Peak memory usage: 88 MB
% 14.84/3.09 % (2003272)Instructions burned: 6 (million)
% 14.84/3.09 % (2003274)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2292152184:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 14.84/3.09 % (2003266)------------------------------
% 14.84/3.09 % (2003266)------------------------------
% 14.84/3.09 % (2003276)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1465441574:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 14.84/3.09 % (2003276)Instruction limit reached!
% 14.84/3.09 % (2003276)------------------------------
% 14.84/3.09 % (2003276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003276)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003276)Termination reason: Instruction limit
% 14.84/3.09 % (2003276)Termination phase: Saturation
% 14.84/3.09 % (2003276)Time elapsed: 0.109 s
% 14.84/3.09 % (2003276)Peak memory usage: 90 MB
% 14.84/3.09 % (2003276)Instructions burned: 113 (million)
% 14.84/3.09 % (2003272)------------------------------
% 14.84/3.09 % (2003272)------------------------------
% 14.84/3.09 % (2003280)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3336251974:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 14.84/3.09 % (2003248)First to succeed.
% 14.84/3.09 % (2003248)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2003238"
% 14.84/3.09 % (2003280)Instruction limit reached!
% 14.84/3.09 % (2003280)------------------------------
% 14.84/3.09 % (2003280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003280)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003280)Termination reason: Instruction limit
% 14.84/3.09 % (2003280)Termination phase: Saturation
% 14.84/3.09 % (2003280)Time elapsed: 0.110 s
% 14.84/3.09 % (2003280)Peak memory usage: 89 MB
% 14.84/3.09 % (2003280)Instructions burned: 128 (million)
% 14.84/3.09 % (2003282)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2920572259:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2984 on theBenchmark for (2984ds/114Mi)
% 14.84/3.09 % (2003283)lrs+10_1_sil=8000:sp=occurrence:random_seed=3501749062:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2983 on theBenchmark for (2983ds/907Mi)
% 14.84/3.09 % (2003283)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003283)------------------------------
% 14.84/3.09 % (2003283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003283)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003283)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003283)Time elapsed: 0.004 s
% 14.84/3.09 % (2003283)Peak memory usage: 88 MB
% 14.84/3.09 % (2003283)Instructions burned: 2 (million)
% 14.84/3.09 % (2003282)Instruction limit reached!
% 14.84/3.09 % (2003282)------------------------------
% 14.84/3.09 % (2003282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003282)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003282)Termination reason: Instruction limit
% 14.84/3.09 % (2003282)Termination phase: Saturation
% 14.84/3.09 % (2003282)Time elapsed: 0.107 s
% 14.84/3.09 % (2003282)Peak memory usage: 89 MB
% 14.84/3.09 % (2003282)Instructions burned: 115 (million)
% 14.84/3.09 % (2003285)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2349121721:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 14.84/3.09 % (2003285)Refutation not found, incomplete strategy
% 14.84/3.09 % (2003285)------------------------------
% 14.84/3.09 % (2003285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.84/3.09 % (2003285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.84/3.09 % (2003285)CaDiCaL version: 2.1.3
% 14.84/3.09 % (2003285)Termination reason: Refutation not found, incomplete strategy
% 14.84/3.09 % (2003285)Time elapsed: 0.037 s
% 14.84/3.09 % (2003285)Peak memory usage: 90 MB
% 14.84/3.09 % (2003285)Instructions burned: 62 (million)
% 14.84/3.09 % (2003274)Also succeeded, but the first one will report.
% 14.84/3.09 % (2003248)Refutation found. Thanks to Tanya!
% 14.84/3.09 % SZS status Theorem for theBenchmark
% 14.84/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 15.49/3.35 % (2003248)------------------------------
% 15.49/3.35 % (2003248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.49/3.35 % (2003248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.49/3.35 % (2003248)CaDiCaL version: 2.1.3
% 15.49/3.35 % (2003248)Termination reason: Refutation
% 15.49/3.35 % (2003248)Time elapsed: 1.370 s
% 15.49/3.35 % (2003248)Peak memory usage: 141 MB
% 15.49/3.35 % (2003248)Instructions burned: 1339 (million)
% 15.49/3.35 % (2003248)------------------------------
% 15.49/3.35 % (2003248)------------------------------
% 15.49/3.35 % (2003238)Success in time 2.111 s
% 15.49/3.35 % Vampire exiting
%------------------------------------------------------------------------------