%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM654+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 12:16:14 PM UTC 2026
% Result : Theorem 16.08s 2.94s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 15 unt; 0 def)
% Number of atoms : 232 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 246 ( 102 ~; 111 |; 19 &)
% ( 11 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 140 ( 138 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
<=> pp(aa_bool_bool(scratc2080488706d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__lessis) ).
fof(f104,axiom,
! [X0,X1,X2] :
( pp(scratc1956266947nd_or3(X0,X1,X2))
<=> pp(aa_bool_bool(scratc2080488706d_l_or(X0),aa_bool_bool(scratc2080488706d_l_or(X1),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__or3) ).
fof(f110,axiom,
! [X0] : scratc2080488706d_l_or(X0) = aa_boo1142376798l_bool(scratc1906369983nd_imp,scratc260794812_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f115,axiom,
! [X0] :
( pp(scratc260794812_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1906369983nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc1906369983nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1165874030_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f156,axiom,
pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_cf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10a) ).
fof(f275,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0))
<=> pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__30) ).
fof(f283,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__38) ).
fof(f289,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
<=> pp(scratc1956266947nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__44) ).
fof(f313,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__68) ).
fof(f387,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f388,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f389,axiom,
! [X0,X1] :
( ~ pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_2_1_U) ).
fof(f390,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f397,conjecture,
pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f398,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f397]) ).
fof(f399,plain,
~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f398]) ).
fof(f403,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1))) ) ),
inference(ennf_transformation,[],[f313]) ).
fof(f475,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1165874030_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f476,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1165874030_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f475]) ).
fof(f508,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f283]) ).
fof(f509,plain,
! [X0] :
( ( pp(scratc260794812_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1906369983nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1906369983nd_imp,X0),fFalse))
| ~ pp(scratc260794812_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f511,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
| ~ pp(scratc1956266947nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1))) )
& ( pp(scratc1956266947nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1)) ) ),
inference(nnf_transformation,[],[f289]) ).
fof(f512,plain,
! [X0,X1,X2] :
( ( pp(scratc1956266947nd_or3(X0,X1,X2))
| ~ pp(aa_bool_bool(scratc2080488706d_l_or(X0),aa_bool_bool(scratc2080488706d_l_or(X1),X2))) )
& ( pp(aa_bool_bool(scratc2080488706d_l_or(X0),aa_bool_bool(scratc2080488706d_l_or(X1),X2)))
| ~ pp(scratc1956266947nd_or3(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f521,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
& pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f403]) ).
fof(f522,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
& pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f521]) ).
fof(f564,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc2080488706d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc2080488706d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f566,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0))
| ~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,X0))) )
& ( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0)) ) ),
inference(nnf_transformation,[],[f275]) ).
fof(f683,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1165874030_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1165874030_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f476]) ).
fof(f684,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1165874030_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1165874030_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1)) ) ),
inference(rectify,[],[f683]) ).
fof(f685,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
& scratc1165874030_is_of(sK13(X0,X1),X0)
& gg_TPTP_ind(sK13(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1165874030_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f684]) ).
fof(f728,plain,
~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f399]) ).
fof(f743,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f508]) ).
fof(f744,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f387]) ).
fof(f745,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1906369983nd_imp,X0),fFalse))
| ~ pp(scratc260794812_d_not(X0)) ),
inference(cnf_transformation,[],[f509]) ).
fof(f746,plain,
! [X0] :
( pp(scratc260794812_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc1906369983nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f509]) ).
fof(f752,plain,
! [X0,X1] :
( pp(scratc1956266947nd_or3(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1)) ),
inference(cnf_transformation,[],[f511]) ).
fof(f754,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(scratc2080488706d_l_or(X0),aa_bool_bool(scratc2080488706d_l_or(X1),X2)))
| ~ pp(scratc1956266947nd_or3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f512]) ).
fof(f773,plain,
! [X0,X1] :
( pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f522]) ).
fof(f774,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1)) ),
inference(cnf_transformation,[],[f522]) ).
fof(f782,plain,
! [X0] : aa_boo1142376798l_bool(scratc1906369983nd_imp,scratc260794812_d_not(X0)) = scratc2080488706d_l_or(X0),
inference(cnf_transformation,[],[f110]) ).
fof(f815,plain,
scratc1906369983nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f817,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f390]) ).
fof(f818,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
| ~ pp(X0) ),
inference(cnf_transformation,[],[f389]) ).
fof(f819,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f388]) ).
fof(f895,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc2080488706d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f564]) ).
fof(f898,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ce,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0)) ),
inference(cnf_transformation,[],[f566]) ).
fof(f1134,plain,
pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_cf)),
inference(cnf_transformation,[],[f156]) ).
fof(f1192,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
| ~ scratc1165874030_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f685]) ).
fof(f1193,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1))
| gg_TPTP_ind(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f685]) ).
fof(f1194,plain,
! [X0,X1] :
( scratc1165874030_is_of(sK13(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1)) ),
inference(cnf_transformation,[],[f685]) ).
fof(f1195,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),X1)) ),
inference(cnf_transformation,[],[f685]) ).
fof(f1328,plain,
! [X0] : scratc2080488706d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc260794812_d_not(X0)),
inference(definition_unfolding,[],[f782,f815]) ).
fof(f1329,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc260794812_d_not(X0)) ),
inference(definition_unfolding,[],[f746,f815]) ).
fof(f1330,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc260794812_d_not(X0)) ),
inference(definition_unfolding,[],[f745,f815]) ).
fof(f1332,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc260794812_d_not(X0)),aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc260794812_d_not(X1)),X2)))
| ~ pp(scratc1956266947nd_or3(X0,X1,X2)) ),
inference(definition_unfolding,[],[f754,f1328,f1328]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1)) ),
inference(definition_unfolding,[],[f895,f1328]) ).
fof(f1455,plain,
! [X0,X1] :
( pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1)) ),
inference(resolution,[],[f817,f1353]) ).
fof(f1471,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X1),sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f1195,f774]) ).
fof(f1476,plain,
! [X0] :
( ~ pp(scratc260794812_d_not(X0))
| ~ pp(X0)
| pp(fFalse) ),
inference(resolution,[],[f1330,f819]) ).
fof(f1477,plain,
! [X0] :
( ~ pp(scratc260794812_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f1476,f744]) ).
fof(f1480,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)) ),
inference(resolution,[],[f1477,f1455]) ).
fof(f1481,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1480,f1471]) ).
fof(f1511,plain,
! [X0] :
( pp(scratc260794812_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f1329,f817]) ).
fof(f1550,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
| ~ scratc1165874030_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0)) ),
inference(resolution,[],[f898,f1192]) ).
fof(f1603,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc1165874030_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f1134,f1192]) ).
fof(f1650,plain,
! [X2,X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc260794812_d_not(X1)),X2))
| ~ pp(scratc260794812_d_not(X0))
| ~ pp(scratc1956266947nd_or3(X0,X1,X2)) ),
inference(resolution,[],[f1332,f819]) ).
fof(f1654,plain,
! [X2,X0,X1] :
( ~ pp(scratc1956266947nd_or3(X0,X1,X2))
| ~ pp(scratc260794812_d_not(X0))
| ~ pp(scratc260794812_d_not(X1))
| pp(X2) ),
inference(resolution,[],[f1650,f819]) ).
fof(f1693,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc2104576176lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)) ),
inference(resolution,[],[f818,f1353]) ).
fof(f1698,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1693,f1471]) ).
fof(f1881,plain,
! [X0,X1] :
( ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1462995390_29_ii,X0),X1)))
| ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1)) ),
inference(resolution,[],[f752,f1654]) ).
fof(f1958,plain,
! [X0,X1] :
( ~ pp(scratc260794812_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(resolution,[],[f1881,f773]) ).
fof(f1962,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),X1)) ),
inference(resolution,[],[f1958,f1511]) ).
fof(f1964,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1906107580nd_iii,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1962,f1195]) ).
fof(f1965,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc64256395d_n_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f1964,f1481]) ).
fof(f1966,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ce,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(forward_subsumption_resolution,[],[f1965,f1698]) ).
fof(f1967,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ scratc1165874030_is_of(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X1)) ),
inference(resolution,[],[f1966,f1550]) ).
fof(f1969,plain,
! [X0,X1] :
( ~ scratc1165874030_is_of(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X1)) ),
inference(forward_subsumption_resolution,[],[f1967,f1193]) ).
fof(f1970,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0))
| pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1969,f1194]) ).
fof(f1971,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0)) ),
inference(duplicate_literal_removal,[],[f1970]) ).
fof(f1972,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,X0)) ),
inference(resolution,[],[f1971,f743]) ).
fof(f1975,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cf,sK13(X0,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f1972,f1195]) ).
fof(f1979,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aTP_Lamm_ab))
| ~ gg_TPTP_ind(sK13(X0,aTP_Lamm_ab))
| ~ scratc1165874030_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a) ),
inference(resolution,[],[f1975,f1603]) ).
fof(f1981,plain,
! [X0] :
( ~ scratc1165874030_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc201312491all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f1979,f1193]) ).
fof(f1982,plain,
( pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f1981,f1194]) ).
fof(f1983,plain,
pp(aa_fun171081125l_bool(scratc201312491all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f1982]) ).
fof(f1984,plain,
$false,
inference(forward_subsumption_resolution,[],[f1983,f728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM654+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n001.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 21:03:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.17/2.03 % (3943642)Detected formulas, will run a generic FOF schedule.
% 10.17/2.03 % (3943652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2647886533:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.17/2.03 % (3943648)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=2606982506:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.17/2.03 % (3943647)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=1452793440:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.17/2.03 % (3943651)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=947996838:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.17/2.03 % (3943650)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1205885691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.17/2.03 % (3943649)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=3831059138:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.17/2.03 % (3943653)dis-21_1_sil=8000:lcm=predicate:random_seed=3374882741: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)
% 10.17/2.03 % (3943650)Refutation not found, incomplete strategy
% 10.17/2.03 % (3943650)------------------------------
% 10.17/2.03 % (3943650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.03 % (3943650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.03 % (3943650)CaDiCaL version: 2.1.3
% 10.17/2.03 % (3943650)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.03 % (3943650)Time elapsed: 0.002 s
% 10.17/2.03 % (3943650)Peak memory usage: 88 MB
% 10.17/2.03 % (3943650)Instructions burned: 1 (million)
% 10.17/2.03 % (3943651)Refutation not found, incomplete strategy
% 10.17/2.03 % (3943651)------------------------------
% 10.17/2.03 % (3943651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.03 % (3943651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.03 % (3943651)CaDiCaL version: 2.1.3
% 10.17/2.03 % (3943651)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.03 % (3943651)Time elapsed: 0.002 s
% 10.17/2.03 % (3943651)Peak memory usage: 88 MB
% 10.17/2.03 % (3943651)Instructions burned: 2 (million)
% 10.17/2.03 % (3943653)Instruction limit reached!
% 10.17/2.03 % (3943653)------------------------------
% 10.17/2.03 % (3943653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.03 % (3943653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.03 % (3943653)CaDiCaL version: 2.1.3
% 10.17/2.03 % (3943653)Termination reason: Instruction limit
% 10.17/2.03 % (3943653)Termination phase: Saturation
% 10.17/2.03 % (3943653)Time elapsed: 0.077 s
% 10.17/2.03 % (3943653)Peak memory usage: 90 MB
% 10.17/2.03 % (3943653)Instructions burned: 130 (million)
% 10.17/2.03 % (3943652)Instruction limit reached!
% 10.17/2.03 % (3943652)------------------------------
% 10.17/2.03 % (3943652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.03 % (3943652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.03 % (3943652)CaDiCaL version: 2.1.3
% 10.17/2.03 % (3943652)Termination reason: Instruction limit
% 10.17/2.03 % (3943652)Termination phase: Saturation
% 10.17/2.03 % (3943652)Time elapsed: 0.092 s
% 10.17/2.03 % (3943652)Peak memory usage: 90 MB
% 10.17/2.03 % (3943652)Instructions burned: 140 (million)
% 10.17/2.03 % (3943662)lrs+10_1_sil=32000:urr=on:br=off:random_seed=997091408:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.17/2.03 % (3943662)Refutation not found, incomplete strategy
% 10.17/2.03 % (3943662)------------------------------
% 10.17/2.03 % (3943662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.17/2.03 % (3943662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.17/2.03 % (3943662)CaDiCaL version: 2.1.3
% 10.17/2.03 % (3943662)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.03 % (3943662)Time elapsed: 0.002 s
% 10.17/2.03 % (3943662)Peak memory usage: 88 MB
% 10.17/2.03 % (3943662)Instructions burned: 6 (million)
% 16.08/2.94 % (3943661)lrs+10_1_sil=8000:sp=occurrence:random_seed=3375104856:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 16.08/2.94 % (3943661)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943661)------------------------------
% 16.08/2.94 % (3943661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943661)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943661)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943661)Time elapsed: 0.003 s
% 16.08/2.94 % (3943661)Peak memory usage: 88 MB
% 16.08/2.94 % (3943661)Instructions burned: 2 (million)
% 16.08/2.94 % (3943650)------------------------------
% 16.08/2.94 % (3943650)------------------------------
% 16.08/2.94 % (3943651)------------------------------
% 16.08/2.94 % (3943651)------------------------------
% 16.08/2.94 % (3943662)------------------------------
% 16.08/2.94 % (3943662)------------------------------
% 16.08/2.94 % (3943665)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1817445789:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.08/2.94 % (3943666)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=2884218126:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.08/2.94 % (3943665)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943665)------------------------------
% 16.08/2.94 % (3943665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943665)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943665)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943665)Time elapsed: 0.004 s
% 16.08/2.94 % (3943665)Peak memory usage: 89 MB
% 16.08/2.94 % (3943665)Instructions burned: 4 (million)
% 16.08/2.94 % (3943667)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=343038136:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 16.08/2.94 % (3943667)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943667)------------------------------
% 16.08/2.94 % (3943667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943667)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943667)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943667)Time elapsed: 0.002 s
% 16.08/2.94 % (3943667)Peak memory usage: 88 MB
% 16.08/2.94 % (3943667)Instructions burned: 5 (million)
% 16.08/2.94 % (3943661)------------------------------
% 16.08/2.94 % (3943661)------------------------------
% 16.08/2.94 % (3943666)Instruction limit reached!
% 16.08/2.94 % (3943666)------------------------------
% 16.08/2.94 % (3943666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943666)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943666)Termination reason: Instruction limit
% 16.08/2.94 % (3943666)Termination phase: Saturation
% 16.08/2.94 % (3943666)Time elapsed: 0.150 s
% 16.08/2.94 % (3943666)Peak memory usage: 93 MB
% 16.08/2.94 % (3943666)Instructions burned: 249 (million)
% 16.08/2.94 % (3943667)------------------------------
% 16.08/2.94 % (3943667)------------------------------
% 16.08/2.94 % (3943671)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3718170344:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.08/2.94 % (3943665)------------------------------
% 16.08/2.94 % (3943665)------------------------------
% 16.08/2.94 % (3943672)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2933980824:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 16.08/2.94 % (3943673)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1310533658:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 16.08/2.94 % (3943673)Instruction limit reached!
% 16.08/2.94 % (3943673)------------------------------
% 16.08/2.94 % (3943673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943673)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943673)Termination reason: Instruction limit
% 16.08/2.94 % (3943673)Termination phase: Saturation
% 16.08/2.94 % (3943673)Time elapsed: 0.033 s
% 16.08/2.94 % (3943673)Peak memory usage: 89 MB
% 16.08/2.94 % (3943673)Instructions burned: 127 (million)
% 16.08/2.94 % (3943672)Instruction limit reached!
% 16.08/2.94 % (3943672)------------------------------
% 16.08/2.94 % (3943672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943672)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943672)Termination reason: Instruction limit
% 16.08/2.94 % (3943672)Termination phase: Saturation
% 16.08/2.94 % (3943672)Time elapsed: 0.067 s
% 16.08/2.94 % (3943672)Peak memory usage: 90 MB
% 16.08/2.94 % (3943672)Instructions burned: 113 (million)
% 16.08/2.94 % (3943675)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3499492771:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 16.08/2.94 % (3943678)lrs+10_1_sil=8000:sp=occurrence:random_seed=3902176942:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 16.08/2.94 % (3943675)Instruction limit reached!
% 16.08/2.94 % (3943675)------------------------------
% 16.08/2.94 % (3943675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943675)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943675)Termination reason: Instruction limit
% 16.08/2.94 % (3943675)Termination phase: Saturation
% 16.08/2.94 % (3943675)Time elapsed: 0.065 s
% 16.08/2.94 % (3943675)Peak memory usage: 89 MB
% 16.08/2.94 % (3943675)Instructions burned: 116 (million)
% 16.08/2.94 % (3943679)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1778805827:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 16.08/2.94 % (3943679)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943679)------------------------------
% 16.08/2.94 % (3943679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943679)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943679)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943679)Time elapsed: 0.029 s
% 16.08/2.94 % (3943679)Peak memory usage: 90 MB
% 16.08/2.94 % (3943679)Instructions burned: 53 (million)
% 16.08/2.94 % (3943682)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3214513607:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 16.08/2.94 % (3943678)Instruction limit reached!
% 16.08/2.94 % (3943678)------------------------------
% 16.08/2.94 % (3943678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943678)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943678)Termination reason: Instruction limit
% 16.08/2.94 % (3943678)Termination phase: Saturation
% 16.08/2.94 % (3943678)Time elapsed: 0.285 s
% 16.08/2.94 % (3943678)Peak memory usage: 99 MB
% 16.08/2.94 % (3943678)Instructions burned: 909 (million)
% 16.08/2.94 % (3943679)------------------------------
% 16.08/2.94 % (3943679)------------------------------
% 16.08/2.94 % (3943685)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3069484334:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 16.08/2.94 % (3943685)Instruction limit reached!
% 16.08/2.94 % (3943685)------------------------------
% 16.08/2.94 % (3943685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943685)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943685)Termination reason: Instruction limit
% 16.08/2.94 % (3943685)Termination phase: Saturation
% 16.08/2.94 % (3943685)Time elapsed: 0.038 s
% 16.08/2.94 % (3943685)Peak memory usage: 92 MB
% 16.08/2.94 % (3943685)Instructions burned: 139 (million)
% 16.08/2.94 % (3943686)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3923475332:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 16.08/2.94 % (3943686)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943686)------------------------------
% 16.08/2.94 % (3943686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943686)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943686)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943686)Time elapsed: 0.017 s
% 16.08/2.94 % (3943686)Peak memory usage: 89 MB
% 16.08/2.94 % (3943686)Instructions burned: 31 (million)
% 16.08/2.94 % (3943688)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2783062934:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 16.08/2.94 % (3943686)------------------------------
% 16.08/2.94 % (3943686)------------------------------
% 16.08/2.94 % (3943691)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=547824922:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2983 on theBenchmark for (2983ds/125Mi)
% 16.08/2.94 % (3943691)Instruction limit reached!
% 16.08/2.94 % (3943691)------------------------------
% 16.08/2.94 % (3943691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943691)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943691)Termination reason: Instruction limit
% 16.08/2.94 % (3943691)Termination phase: Saturation
% 16.08/2.94 % (3943691)Time elapsed: 0.067 s
% 16.08/2.94 % (3943691)Peak memory usage: 92 MB
% 16.08/2.94 % (3943691)Instructions burned: 127 (million)
% 16.08/2.94 % (3943693)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1931167253:i=134:gtgl=5:slsql=off:gtg=exists_sym_2981 on theBenchmark for (2981ds/134Mi)
% 16.08/2.94 % (3943682)First to succeed.
% 16.08/2.94 % (3943682)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3943642"
% 16.08/2.94 % (3943693)Instruction limit reached!
% 16.08/2.94 % (3943693)------------------------------
% 16.08/2.94 % (3943693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943693)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943693)Termination reason: Instruction limit
% 16.08/2.94 % (3943693)Termination phase: Saturation
% 16.08/2.94 % (3943693)Time elapsed: 0.071 s
% 16.08/2.94 % (3943693)Peak memory usage: 92 MB
% 16.08/2.94 % (3943693)Instructions burned: 134 (million)
% 16.08/2.94 % (3943695)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4081877728:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 16.08/2.94 % (3943695)Refutation not found, incomplete strategy
% 16.08/2.94 % (3943695)------------------------------
% 16.08/2.94 % (3943695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.08/2.94 % (3943695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.08/2.94 % (3943695)CaDiCaL version: 2.1.3
% 16.08/2.94 % (3943695)Termination reason: Refutation not found, incomplete strategy
% 16.08/2.94 % (3943695)Time elapsed: 0.002 s
% 16.08/2.94 % (3943695)Peak memory usage: 88 MB
% 16.08/2.94 % (3943695)Instructions burned: 2 (million)
% 16.08/2.94 % (3943682)Refutation found. Thanks to Tanya!
% 16.08/2.94 % SZS status Theorem for theBenchmark
% 16.08/2.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.03 % (3943682)------------------------------
% 0.16/3.03 % (3943682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.03 % (3943682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.03 % (3943682)CaDiCaL version: 2.1.3
% 0.16/3.03 % (3943682)Termination reason: Refutation
% 0.16/3.03 % (3943682)Time elapsed: 0.935 s
% 0.16/3.03 % (3943682)Peak memory usage: 138 MB
% 0.16/3.03 % (3943682)Instructions burned: 1440 (million)
% 0.16/3.03 % (3943682)------------------------------
% 0.16/3.03 % (3943682)------------------------------
% 0.16/3.03 % (3943642)Success in time 2.324 s
% 0.16/3.03 % Vampire exiting
%------------------------------------------------------------------------------