%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM769+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 : n008.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 12:16:56 PM UTC 2026
% Result : Theorem 36.74s 6.13s
% Output : Refutation 37.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 27 unt; 2 def)
% Number of atoms : 177 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 175 ( 79 ~; 80 |; 1 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 16 con; 0-2 aty)
% Number of variables : 106 ( 106 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f38,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__eq) ).
fof(f69,axiom,
! [X0] : scratc1518434349d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f107,axiom,
scratc1517712760d_n_is = scratc1999052399d_e_is(scratc1980863169nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f154,axiom,
! [X0] : scratc1999052399d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f201,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc323474113_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f203,axiom,
pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_by)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_k__satz67c) ).
fof(f659,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
<=> pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__196) ).
fof(f660,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__197) ).
fof(f693,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__230) ).
fof(f698,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__235) ).
fof(f1077,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(f1078,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(f1082,conjecture,
pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1083,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1082]) ).
fof(f1084,plain,
~ pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1083]) ).
fof(f1101,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc323474113_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f201]) ).
fof(f1102,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc323474113_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1101]) ).
fof(f1170,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f693]) ).
fof(f1174,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1)) ) ),
inference(ennf_transformation,[],[f698]) ).
fof(f1379,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,[],[f1078]) ).
fof(f1380,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,[],[f1379]) ).
fof(f1404,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f1422,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f1423,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1518434349d_n_ts(aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f1457,plain,
! [X0] : scratc1518434349d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,X0)),
inference(cnf_transformation,[],[f69]) ).
fof(f1519,plain,
scratc1517712760d_n_is = scratc1999052399d_e_is(scratc1980863169nd_nat),
inference(cnf_transformation,[],[f107]) ).
fof(f1583,plain,
! [X0] : scratc1999052399d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f154]) ).
fof(f1667,plain,
! [X2,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1))
| ~ scratc323474113_is_of(X2,X0)
| pp(aa_TPTP_ind_bool(X1,X2))
| ~ gg_TPTP_ind(X2) ),
inference(cnf_transformation,[],[f1102]) ).
fof(f1668,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1102]) ).
fof(f1669,plain,
! [X0,X1] :
( scratc323474113_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1102]) ).
fof(f1670,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1102]) ).
fof(f1673,plain,
pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_by)),
inference(cnf_transformation,[],[f203]) ).
fof(f2354,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0)) ),
inference(cnf_transformation,[],[f659]) ).
fof(f2355,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f660]) ).
fof(f2427,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1)) ),
inference(cnf_transformation,[],[f1170]) ).
fof(f2442,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1)) ),
inference(cnf_transformation,[],[f1174]) ).
fof(f2443,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1174]) ).
fof(f3380,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f1077]) ).
fof(f3381,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| ~ gg_TPTP_ind(X0)
| X0 = X1
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f1380]) ).
fof(f3385,plain,
~ pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1084]) ).
fof(f3403,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1423,f1457,f1457]) ).
fof(f3404,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1422,f1457,f1457]) ).
fof(f3445,plain,
scratc1517712760d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1519,f1583]) ).
fof(f3720,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f3380]) ).
fof(f3721,definition,
sF25 = scratc805871192all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f3722,plain,
scratc805871192all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f3721]) ).
fof(f3723,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f3724,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f3723]) ).
fof(f3725,plain,
~ pp(sF26),
inference(definition_folding,[],[f3385,f3724,f3722]) ).
fof(f3789,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(superposition,[],[f2355,f3722]) ).
fof(f3792,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,X0))
| ~ scratc323474113_is_of(X1,aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(X0,X1))
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f1667,f3722]) ).
fof(f3797,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,X0),X1))
| ~ gg_TPTP_ind(X0)
| X0 = X1
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f3381,f3445]) ).
fof(f3805,plain,
! [X0] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,X0),X0)),
inference(superposition,[],[f3720,f3445]) ).
fof(f3818,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))) ),
inference(resolution,[],[f3403,f3797]) ).
fof(f3819,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1)))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0)) ),
inference(forward_subsumption_resolution,[],[f3818,f1404]) ).
fof(f3820,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f3819,f1404]) ).
fof(f3858,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517712760d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1834420047bnd_ap,aa_TPTP_ind_TPTP_ind(scratc1243983622_times,aa_TPTP_ind_TPTP_ind(scratc1982175142nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc1898510509nd_den,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X1),X0)) ),
inference(superposition,[],[f3404,f3820]) ).
fof(f3859,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X1),X0))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f3858,f3805]) ).
fof(f3950,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1517450362d_n_eq,X0),aa_TPTP_ind_TPTP_ind(scratc1518171940d_n_pf(X1),aa_TPTP_ind_TPTP_ind(scratc354098343_367_w(X0),X1))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1)) ),
inference(resolution,[],[f2427,f3859]) ).
fof(f4148,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_bx,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0)) ),
inference(superposition,[],[f2354,f3722]) ).
fof(f4149,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
| ~ scratc323474113_is_of(X1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f4148,f3792]) ).
fof(f4354,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc139347953_moref,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(resolution,[],[f3950,f2443]) ).
fof(f4358,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bx,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f4354,f2442]) ).
fof(f4359,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ scratc323474113_is_of(X1,aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| ~ gg_TPTP_ind(X1) ),
inference(resolution,[],[f4358,f4149]) ).
fof(f4363,plain,
! [X0,X1] :
( ~ scratc323474113_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X1))
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f4359,f1670]) ).
fof(f4366,plain,
! [X0,X1] :
( ~ scratc323474113_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X1))
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(forward_subsumption_resolution,[],[f4363,f1668]) ).
fof(f4367,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f4366,f1669]) ).
fof(f4368,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(duplicate_literal_removal,[],[f4367]) ).
fof(f4369,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0)) ),
inference(forward_demodulation,[],[f4368,f3722]) ).
fof(f4370,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f4369,f3789]) ).
fof(f6046,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_by)),
inference(superposition,[],[f1673,f3722]) ).
fof(f6047,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_by,X0))
| ~ scratc323474113_is_of(X0,aTP_Lamm_a)
| ~ gg_TPTP_ind(X0) ),
inference(resolution,[],[f6046,f3792]) ).
fof(f6048,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc323474113_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f6047,f4370]) ).
fof(f6053,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ab))
| ~ scratc323474113_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f6048,f1670]) ).
fof(f6056,plain,
! [X0] :
( ~ scratc323474113_is_of(sK12(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc805871192all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f6053,f1668]) ).
fof(f6057,plain,
( pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f6056,f1669]) ).
fof(f6058,plain,
pp(aa_fun171081125l_bool(scratc805871192all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f6057]) ).
fof(f6059,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab)),
inference(forward_demodulation,[],[f6058,f3722]) ).
fof(f6060,plain,
pp(sF26),
inference(forward_demodulation,[],[f6059,f3724]) ).
fof(f6061,plain,
$false,
inference(forward_subsumption_resolution,[],[f6060,f3725]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM769+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 : n008.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 21:21:54 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
% 12.90/2.72 % (1612378)Detected formulas, will run a generic FOF schedule.
% 12.90/2.72 % (1612388)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1315189441:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.90/2.72 % (1612385)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=2481552572:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.90/2.72 % (1612384)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=3787245703:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.90/2.72 % (1612383)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=3616016025:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.90/2.72 % (1612387)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3540270428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.90/2.72 % (1612386)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1450253529:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.90/2.72 % (1612388)Instruction limit reached!
% 12.90/2.72 % (1612388)------------------------------
% 12.90/2.72 % (1612388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.72 % (1612388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.72 % (1612388)CaDiCaL version: 2.1.3
% 12.90/2.72 % (1612388)Termination reason: Instruction limit
% 12.90/2.72 % (1612388)Termination phase: Saturation
% 12.90/2.72 % (1612388)Time elapsed: 0.037 s
% 12.90/2.72 % (1612388)Peak memory usage: 91 MB
% 12.90/2.72 % (1612388)Instructions burned: 140 (million)
% 12.90/2.72 % (1612386)Refutation not found, incomplete strategy
% 12.90/2.72 % (1612386)------------------------------
% 12.90/2.72 % (1612386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.72 % (1612386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.72 % (1612386)CaDiCaL version: 2.1.3
% 12.90/2.72 % (1612386)Termination reason: Refutation not found, incomplete strategy
% 12.90/2.72 % (1612386)Time elapsed: 0.004 s
% 12.90/2.72 % (1612386)Peak memory usage: 88 MB
% 12.90/2.72 % (1612386)Instructions burned: 5 (million)
% 12.90/2.72 % (1612387)Refutation not found, incomplete strategy
% 12.90/2.72 % (1612387)------------------------------
% 12.90/2.72 % (1612387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.72 % (1612387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.72 % (1612387)CaDiCaL version: 2.1.3
% 12.90/2.72 % (1612387)Termination reason: Refutation not found, incomplete strategy
% 12.90/2.72 % (1612387)Time elapsed: 0.004 s
% 12.90/2.72 % (1612387)Peak memory usage: 88 MB
% 12.90/2.72 % (1612387)Instructions burned: 5 (million)
% 12.90/2.72 % (1612389)dis-21_1_sil=8000:lcm=predicate:random_seed=1909168168: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)
% 12.90/2.72 % (1612389)Instruction limit reached!
% 12.90/2.72 % (1612389)------------------------------
% 12.90/2.72 % (1612389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.72 % (1612389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.72 % (1612389)CaDiCaL version: 2.1.3
% 12.90/2.72 % (1612389)Termination reason: Instruction limit
% 12.90/2.72 % (1612389)Termination phase: Saturation
% 12.90/2.72 % (1612389)Time elapsed: 0.060 s
% 12.90/2.72 % (1612389)Peak memory usage: 90 MB
% 12.90/2.72 % (1612389)Instructions burned: 131 (million)
% 12.90/2.72 % (1612397)lrs+10_1_sil=8000:sp=occurrence:random_seed=737947231:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.90/2.72 % (1612397)Refutation not found, incomplete strategy
% 12.90/2.72 % (1612397)------------------------------
% 12.90/2.72 % (1612397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.90/2.72 % (1612397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.72 % (1612397)CaDiCaL version: 2.1.3
% 12.90/2.72 % (1612397)Termination reason: Refutation not found, incomplete strategy
% 12.90/2.72 % (1612397)Time elapsed: 0.003 s
% 12.90/2.72 % (1612397)Peak memory usage: 89 MB
% 12.90/2.72 % (1612397)Instructions burned: 5 (million)
% 12.90/2.72 % (1612398)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4062023400:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 19.82/3.75 % (1612398)Refutation not found, incomplete strategy
% 19.82/3.75 % (1612398)------------------------------
% 19.82/3.75 % (1612398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/3.75 % (1612398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.75 % (1612398)CaDiCaL version: 2.1.3
% 19.82/3.75 % (1612398)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.75 % (1612398)Time elapsed: 0.009 s
% 19.82/3.75 % (1612398)Peak memory usage: 89 MB
% 19.82/3.75 % (1612398)Instructions burned: 17 (million)
% 19.82/3.75 % (1612386)------------------------------
% 19.82/3.75 % (1612386)------------------------------
% 19.82/3.75 % (1612387)------------------------------
% 19.82/3.75 % (1612387)------------------------------
% 19.82/3.75 % (1612397)------------------------------
% 19.82/3.75 % (1612397)------------------------------
% 19.82/3.75 % (1612401)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4033031376:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 19.82/3.75 % (1612402)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=3821767640:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 19.82/3.75 % (1612401)Refutation not found, incomplete strategy
% 19.82/3.75 % (1612401)------------------------------
% 19.82/3.75 % (1612401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/3.75 % (1612401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.75 % (1612401)CaDiCaL version: 2.1.3
% 19.82/3.75 % (1612401)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.75 % (1612401)Time elapsed: 0.007 s
% 19.82/3.75 % (1612401)Peak memory usage: 89 MB
% 19.82/3.75 % (1612401)Instructions burned: 7 (million)
% 19.82/3.75 % (1612403)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3730255654:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.82/3.75 % (1612403)Refutation not found, incomplete strategy
% 19.82/3.75 % (1612403)------------------------------
% 19.82/3.75 % (1612403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/3.75 % (1612403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.75 % (1612403)CaDiCaL version: 2.1.3
% 19.82/3.75 % (1612403)Termination reason: Refutation not found, incomplete strategy
% 19.82/3.75 % (1612403)Time elapsed: 0.004 s
% 19.82/3.75 % (1612403)Peak memory usage: 89 MB
% 19.82/3.75 % (1612403)Instructions burned: 11 (million)
% 19.82/3.75 % (1612398)------------------------------
% 19.82/3.75 % (1612398)------------------------------
% 19.82/3.75 % (1612402)Instruction limit reached!
% 19.82/3.75 % (1612402)------------------------------
% 19.82/3.75 % (1612402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/3.75 % (1612402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.75 % (1612402)CaDiCaL version: 2.1.3
% 19.82/3.75 % (1612402)Termination reason: Instruction limit
% 19.82/3.75 % (1612402)Termination phase: Saturation
% 19.82/3.75 % (1612402)Time elapsed: 0.145 s
% 19.82/3.75 % (1612402)Peak memory usage: 92 MB
% 19.82/3.75 % (1612402)Instructions burned: 248 (million)
% 19.82/3.75 % (1612403)------------------------------
% 19.82/3.75 % (1612403)------------------------------
% 19.82/3.75 % (1612407)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1031665852:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 19.82/3.75 % (1612401)------------------------------
% 19.82/3.75 % (1612401)------------------------------
% 19.82/3.75 % (1612408)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3982585283:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 19.82/3.75 % (1612409)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3123057810:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.82/3.75 % (1612408)Instruction limit reached!
% 19.82/3.75 % (1612408)------------------------------
% 19.82/3.75 % (1612408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.82/3.75 % (1612408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.82/3.75 % (1612408)CaDiCaL version: 2.1.3
% 19.82/3.75 % (1612408)Termination reason: Instruction limit
% 19.82/3.75 % (1612408)Termination phase: Saturation
% 19.82/3.75 % (1612408)Time elapsed: 0.055 s
% 33.28/5.62 % (1612408)Peak memory usage: 90 MB
% 33.28/5.62 % (1612408)Instructions burned: 115 (million)
% 33.28/5.62 % (1612409)Instruction limit reached!
% 33.28/5.62 % (1612409)------------------------------
% 33.28/5.62 % (1612409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612409)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612409)Termination reason: Instruction limit
% 33.28/5.62 % (1612409)Termination phase: Saturation
% 33.28/5.62 % (1612409)Time elapsed: 0.055 s
% 33.28/5.62 % (1612409)Peak memory usage: 90 MB
% 33.28/5.62 % (1612409)Instructions burned: 127 (million)
% 33.28/5.62 % (1612411)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4048909916:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 33.28/5.62 % (1612411)Instruction limit reached!
% 33.28/5.62 % (1612411)------------------------------
% 33.28/5.62 % (1612411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612411)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612411)Termination reason: Instruction limit
% 33.28/5.62 % (1612411)Termination phase: Saturation
% 33.28/5.62 % (1612411)Time elapsed: 0.060 s
% 33.28/5.62 % (1612411)Peak memory usage: 90 MB
% 33.28/5.62 % (1612411)Instructions burned: 114 (million)
% 33.28/5.62 % (1612414)lrs+10_1_sil=8000:sp=occurrence:random_seed=1956678335:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 33.28/5.62 % (1612415)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1326570643:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 33.28/5.62 % (1612415)Refutation not found, incomplete strategy
% 33.28/5.62 % (1612415)------------------------------
% 33.28/5.62 % (1612415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612415)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612415)Termination reason: Refutation not found, incomplete strategy
% 33.28/5.62 % (1612415)Time elapsed: 0.078 s
% 33.28/5.62 % (1612415)Peak memory usage: 92 MB
% 33.28/5.62 % (1612415)Instructions burned: 159 (million)
% 33.28/5.62 % (1612417)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4177028293:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 33.28/5.62 % (1612415)------------------------------
% 33.28/5.62 % (1612415)------------------------------
% 33.28/5.62 % (1612421)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4031178085:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 33.28/5.62 % (1612414)Instruction limit reached!
% 33.28/5.62 % (1612414)------------------------------
% 33.28/5.62 % (1612414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612414)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612414)Termination reason: Instruction limit
% 33.28/5.62 % (1612414)Termination phase: Saturation
% 33.28/5.62 % (1612414)Time elapsed: 0.547 s
% 33.28/5.62 % (1612414)Peak memory usage: 101 MB
% 33.28/5.62 % (1612414)Instructions burned: 909 (million)
% 33.28/5.62 % (1612421)Instruction limit reached!
% 33.28/5.62 % (1612421)------------------------------
% 33.28/5.62 % (1612421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612421)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612421)Termination reason: Instruction limit
% 33.28/5.62 % (1612421)Termination phase: Saturation
% 33.28/5.62 % (1612421)Time elapsed: 0.066 s
% 33.28/5.62 % (1612421)Peak memory usage: 92 MB
% 33.28/5.62 % (1612421)Instructions burned: 135 (million)
% 33.28/5.62 % (1612423)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2696648636:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 33.28/5.62 % (1612423)Refutation not found, incomplete strategy
% 33.28/5.62 % (1612423)------------------------------
% 33.28/5.62 % (1612423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.28/5.62 % (1612423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.28/5.62 % (1612423)CaDiCaL version: 2.1.3
% 33.28/5.62 % (1612423)Termination reason: Refutation not found, incomplete strategy
% 36.74/6.13 % (1612423)Time elapsed: 0.019 s
% 36.74/6.13 % (1612423)Peak memory usage: 90 MB
% 36.74/6.13 % (1612423)Instructions burned: 34 (million)
% 36.74/6.13 % (1612424)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3624523897:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 36.74/6.13 % (1612423)------------------------------
% 36.74/6.13 % (1612423)------------------------------
% 36.74/6.13 % (1612427)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=1961493037:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 36.74/6.13 % (1612407)Instruction limit reached!
% 36.74/6.13 % (1612407)------------------------------
% 36.74/6.13 % (1612407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612407)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612407)Termination reason: Instruction limit
% 36.74/6.13 % (1612407)Termination phase: Saturation
% 36.74/6.13 % (1612407)Time elapsed: 1.437 s
% 36.74/6.13 % (1612407)Peak memory usage: 157 MB
% 36.74/6.13 % (1612407)Instructions burned: 2350 (million)
% 36.74/6.13 % (1612427)Instruction limit reached!
% 36.74/6.13 % (1612427)------------------------------
% 36.74/6.13 % (1612427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612427)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612427)Termination reason: Instruction limit
% 36.74/6.13 % (1612427)Termination phase: Saturation
% 36.74/6.13 % (1612427)Time elapsed: 0.067 s
% 36.74/6.13 % (1612427)Peak memory usage: 92 MB
% 36.74/6.13 % (1612427)Instructions burned: 127 (million)
% 36.74/6.13 % (1612429)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3843293355:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 36.74/6.13 % (1612430)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=439047873:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 36.74/6.13 % (1612430)Refutation not found, incomplete strategy
% 36.74/6.13 % (1612430)------------------------------
% 36.74/6.13 % (1612430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612430)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612430)Termination reason: Refutation not found, incomplete strategy
% 36.74/6.13 % (1612430)Time elapsed: 0.004 s
% 36.74/6.13 % (1612430)Peak memory usage: 89 MB
% 36.74/6.13 % (1612430)Instructions burned: 5 (million)
% 36.74/6.13 % (1612429)Instruction limit reached!
% 36.74/6.13 % (1612429)------------------------------
% 36.74/6.13 % (1612429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612429)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612429)Termination reason: Instruction limit
% 36.74/6.13 % (1612429)Termination phase: Property scanning
% 36.74/6.13 % (1612429)Time elapsed: 0.063 s
% 36.74/6.13 % (1612429)Peak memory usage: 91 MB
% 36.74/6.13 % (1612429)Instructions burned: 134 (million)
% 36.74/6.13 % (1612433)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2115120540:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 36.74/6.13 % (1612433)Refutation not found, incomplete strategy
% 36.74/6.13 % (1612433)------------------------------
% 36.74/6.13 % (1612433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612433)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612433)Termination reason: Refutation not found, incomplete strategy
% 36.74/6.13 % (1612433)Time elapsed: 0.004 s
% 36.74/6.13 % (1612433)Peak memory usage: 89 MB
% 36.74/6.13 % (1612433)Instructions burned: 4 (million)
% 36.74/6.13 % (1612430)------------------------------
% 36.74/6.13 % (1612430)------------------------------
% 36.74/6.13 % (1612424)Refutation not found, incomplete strategy
% 36.74/6.13 % (1612424)------------------------------
% 36.74/6.13 % (1612424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612424)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612424)Termination reason: Refutation not found, incomplete strategy
% 36.74/6.13 % (1612424)Time elapsed: 1.015 s
% 36.74/6.13 % (1612424)Peak memory usage: 135 MB
% 36.74/6.13 % (1612424)Instructions burned: 1520 (million)
% 36.74/6.13 % (1612435)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1237063728:i=6060:aac=none:ins=25_2972 on theBenchmark for (2972ds/6060Mi)
% 36.74/6.13 % (1612433)------------------------------
% 36.74/6.13 % (1612433)------------------------------
% 36.74/6.13 % (1612437)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2232003101:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 36.74/6.13 % (1612424)------------------------------
% 36.74/6.13 % (1612424)------------------------------
% 36.74/6.13 % (1612437)Instruction limit reached!
% 36.74/6.13 % (1612437)------------------------------
% 36.74/6.13 % (1612437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612437)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612437)Termination reason: Instruction limit
% 36.74/6.13 % (1612437)Termination phase: Saturation
% 36.74/6.13 % (1612437)Time elapsed: 0.069 s
% 36.74/6.13 % (1612437)Peak memory usage: 91 MB
% 36.74/6.13 % (1612437)Instructions burned: 151 (million)
% 36.74/6.13 % (1612439)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=1626960710:i=14155:bd=all_2968 on theBenchmark for (2968ds/14155Mi)
% 36.74/6.13 % (1612440)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2658716351:i=667:av=off:fsr=off_2967 on theBenchmark for (2967ds/667Mi)
% 36.74/6.13 % (1612440)Instruction limit reached!
% 36.74/6.13 % (1612440)------------------------------
% 36.74/6.13 % (1612440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612440)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612440)Termination reason: Instruction limit
% 36.74/6.13 % (1612440)Termination phase: Saturation
% 36.74/6.13 % (1612440)Time elapsed: 0.314 s
% 36.74/6.13 % (1612440)Peak memory usage: 100 MB
% 36.74/6.13 % (1612440)Instructions burned: 668 (million)
% 36.74/6.13 % (1612443)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=2670897862:s2a=on:i=185:s2at=1.8:fdi=4_2963 on theBenchmark for (2963ds/185Mi)
% 36.74/6.13 % (1612443)Instruction limit reached!
% 36.74/6.13 % (1612443)------------------------------
% 36.74/6.13 % (1612443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612443)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612443)Termination reason: Instruction limit
% 36.74/6.13 % (1612443)Termination phase: Saturation
% 36.74/6.13 % (1612443)Time elapsed: 0.078 s
% 36.74/6.13 % (1612443)Peak memory usage: 91 MB
% 36.74/6.13 % (1612443)Instructions burned: 188 (million)
% 36.74/6.13 % (1612445)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=314499607:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2960 on theBenchmark for (2960ds/193Mi)
% 36.74/6.13 % (1612445)Refutation not found, incomplete strategy
% 36.74/6.13 % (1612445)------------------------------
% 36.74/6.13 % (1612445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612445)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612445)Termination reason: Refutation not found, incomplete strategy
% 36.74/6.13 % (1612445)Time elapsed: 0.007 s
% 36.74/6.13 % (1612445)Peak memory usage: 89 MB
% 36.74/6.13 % (1612445)Instructions burned: 9 (million)
% 36.74/6.13 % (1612445)------------------------------
% 36.74/6.13 % (1612445)------------------------------
% 36.74/6.13 % (1612447)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=907527723:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2956 on theBenchmark for (2956ds/4850Mi)
% 36.74/6.13 % (1612417)Instruction limit reached!
% 36.74/6.13 % (1612417)------------------------------
% 36.74/6.13 % (1612417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.74/6.13 % (1612417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/6.13 % (1612417)CaDiCaL version: 2.1.3
% 36.74/6.13 % (1612417)Termination reason: Instruction limit
% 36.74/6.13 % (1612417)Termination phase: Saturation
% 36.74/6.13 % (1612417)Time elapsed: 3.475 s
% 36.74/6.13 % (1612417)Peak memory usage: 159 MB
% 36.74/6.13 % (1612417)Instructions burned: 5204 (million)
% 36.74/6.13 % (1612449)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=3796626225:i=12111:sd=1:ss=included_2952 on theBenchmark for (2952ds/12111Mi)
% 36.74/6.13 % (1612435)First to succeed.
% 36.74/6.13 % (1612435)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1612378"
% 36.74/6.13 % (1612435)Refutation found. Thanks to Tanya!
% 36.74/6.13 % SZS status Theorem for theBenchmark
% 36.74/6.13 % SZS output start Proof for theBenchmark
% See solution above
% 37.64/6.33 % (1612435)------------------------------
% 37.64/6.33 % (1612435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.64/6.33 % (1612435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.64/6.33 % (1612435)CaDiCaL version: 2.1.3
% 37.64/6.33 % (1612435)Termination reason: Refutation
% 37.64/6.33 % (1612435)Time elapsed: 2.096 s
% 37.64/6.33 % (1612435)Peak memory usage: 157 MB
% 37.64/6.33 % (1612435)Instructions burned: 3187 (million)
% 37.64/6.33 % (1612435)------------------------------
% 37.64/6.33 % (1612435)------------------------------
% 37.64/6.33 % (1612378)Success in time 5.275 s
% 37.64/6.33 % Vampire exiting
%------------------------------------------------------------------------------