%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM787+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 : n003.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 12:17:01 PM UTC 2026
% Result : Theorem 13.28s 2.86s
% Output : Refutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 14
% Syntax : Number of formulae : 78 ( 13 unt; 0 def)
% Number of atoms : 215 ( 5 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 227 ( 90 ~; 101 |; 21 &)
% ( 11 <=>; 4 =>; 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 : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 127 ( 125 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
<=> pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__rt__lessis) ).
fof(f33,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
<=> pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__rt__moreis) ).
fof(f185,axiom,
! [X0] : scratc906802432d_l_or(X0) = aa_boo1142376798l_bool(scratc579042493nd_imp,scratc1346138430_d_not(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__l__or) ).
fof(f191,axiom,
scratc579042493nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f222,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc103734000_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f224,axiom,
pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_cc)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz81e) ).
fof(f767,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
<=> pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__240) ).
fof(f768,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__241) ).
fof(f847,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__320) ).
fof(f848,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__321) ).
fof(f1272,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(f1273,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(f1274,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(f1281,conjecture,
pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1282,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f1281]) ).
fof(f1283,plain,
~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f1282]) ).
fof(f1286,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1))) ) ),
inference(ennf_transformation,[],[f848]) ).
fof(f1317,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1))) ) ),
inference(ennf_transformation,[],[f847]) ).
fof(f1388,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc103734000_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f222]) ).
fof(f1389,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc103734000_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f1388]) ).
fof(f1421,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f768]) ).
fof(f1441,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
& pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f1286]) ).
fof(f1442,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
& pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f1441]) ).
fof(f1474,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| ~ pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f1481,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))) )
& ( pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f1482,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
& pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(nnf_transformation,[],[f1317]) ).
fof(f1483,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
& pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ) ),
inference(flattening,[],[f1482]) ).
fof(f1598,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0))) )
& ( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ) ),
inference(nnf_transformation,[],[f767]) ).
fof(f1658,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc103734000_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc103734000_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f1389]) ).
fof(f1659,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc103734000_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc103734000_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1)) ) ),
inference(rectify,[],[f1658]) ).
fof(f1660,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
& scratc103734000_is_of(sK13(X0,X1),X0)
& gg_TPTP_ind(sK13(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc103734000_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f1659]) ).
fof(f1769,plain,
~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f1283]) ).
fof(f1784,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f1421]) ).
fof(f1828,plain,
! [X0,X1] :
( pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f1442]) ).
fof(f1829,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1)) ),
inference(cnf_transformation,[],[f1442]) ).
fof(f1836,plain,
scratc579042493nd_imp = fimplies,
inference(cnf_transformation,[],[f191]) ).
fof(f1837,plain,
! [X0] : aa_boo1142376798l_bool(scratc579042493nd_imp,scratc1346138430_d_not(X0)) = scratc906802432d_l_or(X0),
inference(cnf_transformation,[],[f185]) ).
fof(f1931,plain,
! [X0,X1] :
( pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ),
inference(cnf_transformation,[],[f1474]) ).
fof(f1946,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(aa_bool_bool(scratc906802432d_l_or(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))) ),
inference(cnf_transformation,[],[f1481]) ).
fof(f1947,plain,
! [X0,X1] :
( ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1)) ),
inference(cnf_transformation,[],[f1483]) ).
fof(f2052,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f1274]) ).
fof(f2053,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X1),X0))
| ~ pp(X0) ),
inference(cnf_transformation,[],[f1273]) ).
fof(f2054,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f1272]) ).
fof(f2236,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cb,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(cnf_transformation,[],[f1598]) ).
fof(f2371,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
| ~ scratc103734000_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f1660]) ).
fof(f2372,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1))
| gg_TPTP_ind(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f1660]) ).
fof(f2373,plain,
! [X0,X1] :
( scratc103734000_is_of(sK13(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1660]) ).
fof(f2374,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK13(X0,X1)))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1660]) ).
fof(f2504,plain,
pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_cc)),
inference(cnf_transformation,[],[f224]) ).
fof(f2698,plain,
! [X0] : scratc906802432d_l_or(X0) = aa_boo1142376798l_bool(fimplies,scratc1346138430_d_not(X0)),
inference(definition_unfolding,[],[f1837,f1836]) ).
fof(f2726,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ),
inference(definition_unfolding,[],[f1931,f2698]) ).
fof(f2727,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1))),aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1)) ),
inference(definition_unfolding,[],[f1946,f2698]) ).
fof(f2875,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1829,f2374]) ).
fof(f2877,plain,
! [X0,X1] :
( pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1479382950t_more,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1)) ),
inference(resolution,[],[f2052,f2727]) ).
fof(f2919,plain,
! [X0,X1] :
( ~ pp(scratc1346138430_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc616246314t_less,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)) ),
inference(resolution,[],[f2726,f2054]) ).
fof(f2921,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ),
inference(resolution,[],[f2919,f1828]) ).
fof(f2934,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f2921,f2374]) ).
fof(f2991,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| ~ scratc103734000_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(resolution,[],[f2236,f2371]) ).
fof(f3110,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),X1)) ),
inference(resolution,[],[f1947,f2877]) ).
fof(f3113,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3110,f2875]) ).
fof(f3142,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc103734000_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f2504,f2371]) ).
fof(f3438,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1056521968moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),X1)) ),
inference(resolution,[],[f2053,f2727]) ).
fof(f3446,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc296002491_rt_is,X0),sK13(X1,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X1),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3438,f2875]) ).
fof(f3458,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X1),sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f3446,f2934]) ).
fof(f3465,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc922538356lessis,X1),sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(duplicate_literal_removal,[],[f3458]) ).
fof(f3470,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X1),sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f3465,f3113]) ).
fof(f3472,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cb,X1),sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1))))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(duplicate_literal_removal,[],[f3470]) ).
fof(f3473,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ scratc103734000_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_cc,X1)) ),
inference(resolution,[],[f3472,f2991]) ).
fof(f3474,plain,
! [X0,X1] :
( ~ scratc103734000_is_of(sK13(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X1)) ),
inference(forward_subsumption_resolution,[],[f3473,f2372]) ).
fof(f3475,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f3474,f2373]) ).
fof(f3476,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(duplicate_literal_removal,[],[f3475]) ).
fof(f3477,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,X0)) ),
inference(resolution,[],[f3476,f1784]) ).
fof(f3480,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cc,sK13(X0,aTP_Lamm_ab)))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aTP_Lamm_ab)) ),
inference(resolution,[],[f3477,f2374]) ).
fof(f3498,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aTP_Lamm_ab))
| ~ gg_TPTP_ind(sK13(X0,aTP_Lamm_ab))
| ~ scratc103734000_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a) ),
inference(resolution,[],[f3480,f3142]) ).
fof(f3499,plain,
! [X0] :
( ~ scratc103734000_is_of(sK13(X0,aTP_Lamm_ab),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc2131927529all_of(X0),aTP_Lamm_ab)) ),
inference(forward_subsumption_resolution,[],[f3498,f2372]) ).
fof(f3500,plain,
( pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab))
| pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
inference(resolution,[],[f3499,f2373]) ).
fof(f3501,plain,
pp(aa_fun171081125l_bool(scratc2131927529all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(duplicate_literal_removal,[],[f3500]) ).
fof(f3502,plain,
$false,
inference(forward_subsumption_resolution,[],[f3501,f1769]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM787+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:26:26 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 12.78/2.75 % (928790)Detected formulas, will run a generic FOF schedule.
% 12.78/2.75 % (928798)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=116937832:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.78/2.75 % (928798)Refutation not found, incomplete strategy
% 12.78/2.75 % (928798)------------------------------
% 12.78/2.75 % (928798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.75 % (928798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.75 % (928798)CaDiCaL version: 2.1.3
% 12.78/2.75 % (928798)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.75 % (928798)Time elapsed: 0.003 s
% 12.78/2.75 % (928798)Peak memory usage: 89 MB
% 12.78/2.75 % (928798)Instructions burned: 6 (million)
% 12.78/2.75 % (928797)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=2023160841:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.78/2.75 % (928795)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=1869694454:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.78/2.75 % (928796)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=1026119838:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.78/2.75 % (928801)dis-21_1_sil=8000:lcm=predicate:random_seed=640398345: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)
% 12.78/2.75 % (928799)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2926790841:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.78/2.75 % (928799)Refutation not found, incomplete strategy
% 12.78/2.75 % (928799)------------------------------
% 12.78/2.75 % (928799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.75 % (928799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.75 % (928799)CaDiCaL version: 2.1.3
% 12.78/2.75 % (928799)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.75 % (928799)Time elapsed: 0.006 s
% 12.78/2.75 % (928799)Peak memory usage: 89 MB
% 12.78/2.75 % (928799)Instructions burned: 7 (million)
% 12.78/2.75 % (928800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2173829106:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.78/2.75 % (928801)Instruction limit reached!
% 12.78/2.75 % (928801)------------------------------
% 12.78/2.75 % (928801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.75 % (928801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.75 % (928801)CaDiCaL version: 2.1.3
% 12.78/2.75 % (928801)Termination reason: Instruction limit
% 12.78/2.75 % (928801)Termination phase: Saturation
% 12.78/2.75 % (928801)Time elapsed: 0.056 s
% 12.78/2.75 % (928801)Peak memory usage: 90 MB
% 12.78/2.75 % (928801)Instructions burned: 131 (million)
% 12.78/2.75 % (928800)Instruction limit reached!
% 12.78/2.75 % (928800)------------------------------
% 12.78/2.75 % (928800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.75 % (928800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.75 % (928800)CaDiCaL version: 2.1.3
% 12.78/2.75 % (928800)Termination reason: Instruction limit
% 12.78/2.75 % (928800)Termination phase: Saturation
% 12.78/2.75 % (928800)Time elapsed: 0.062 s
% 12.78/2.75 % (928800)Peak memory usage: 91 MB
% 12.78/2.75 % (928800)Instructions burned: 140 (million)
% 12.78/2.75 % (928798)------------------------------
% 12.78/2.75 % (928798)------------------------------
% 12.78/2.75 % (928809)lrs+10_1_sil=8000:sp=occurrence:random_seed=367777659:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.78/2.75 % (928809)Refutation not found, incomplete strategy
% 12.78/2.75 % (928809)------------------------------
% 12.78/2.75 % (928809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.78/2.75 % (928809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.78/2.75 % (928809)CaDiCaL version: 2.1.3
% 12.78/2.75 % (928809)Termination reason: Refutation not found, incomplete strategy
% 12.78/2.75 % (928809)Time elapsed: 0.005 s
% 12.78/2.75 % (928809)Peak memory usage: 89 MB
% 12.78/2.75 % (928809)Instructions burned: 6 (million)
% 13.28/2.86 % (928810)lrs+10_1_sil=32000:urr=on:br=off:random_seed=89346405:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.28/2.86 % (928811)lrs+1011_1_sil=32000:sp=occurrence:random_seed=478616546:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 13.28/2.86 % (928810)Refutation not found, incomplete strategy
% 13.28/2.86 % (928810)------------------------------
% 13.28/2.86 % (928810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928810)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928810)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.86 % (928810)Time elapsed: 0.011 s
% 13.28/2.86 % (928810)Peak memory usage: 89 MB
% 13.28/2.86 % (928810)Instructions burned: 21 (million)
% 13.28/2.86 % (928811)Refutation not found, incomplete strategy
% 13.28/2.86 % (928811)------------------------------
% 13.28/2.86 % (928811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928811)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928811)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.86 % (928811)Time elapsed: 0.005 s
% 13.28/2.86 % (928811)Peak memory usage: 90 MB
% 13.28/2.86 % (928811)Instructions burned: 13 (million)
% 13.28/2.86 % (928799)------------------------------
% 13.28/2.86 % (928799)------------------------------
% 13.28/2.86 % (928811)------------------------------
% 13.28/2.86 % (928811)------------------------------
% 13.28/2.86 % (928815)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=130105655:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 13.28/2.86 % (928809)------------------------------
% 13.28/2.86 % (928809)------------------------------
% 13.28/2.86 % (928810)------------------------------
% 13.28/2.86 % (928810)------------------------------
% 13.28/2.86 % (928816)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2450722148:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 13.28/2.86 % (928816)Refutation not found, incomplete strategy
% 13.28/2.86 % (928816)------------------------------
% 13.28/2.86 % (928816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928816)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928816)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.86 % (928816)Time elapsed: 0.006 s
% 13.28/2.86 % (928816)Peak memory usage: 90 MB
% 13.28/2.86 % (928816)Instructions burned: 15 (million)
% 13.28/2.86 % (928815)Instruction limit reached!
% 13.28/2.86 % (928815)------------------------------
% 13.28/2.86 % (928815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928815)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928815)Termination reason: Instruction limit
% 13.28/2.86 % (928815)Termination phase: Saturation
% 13.28/2.86 % (928815)Time elapsed: 0.129 s
% 13.28/2.86 % (928815)Peak memory usage: 96 MB
% 13.28/2.86 % (928815)Instructions burned: 249 (million)
% 13.28/2.86 % (928818)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2768033240:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 13.28/2.86 % (928819)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=779477792:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 13.28/2.86 % (928816)------------------------------
% 13.28/2.86 % (928816)------------------------------
% 13.28/2.86 % (928819)Instruction limit reached!
% 13.28/2.86 % (928819)------------------------------
% 13.28/2.86 % (928819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928819)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928819)Termination reason: Instruction limit
% 13.28/2.86 % (928819)Termination phase: Saturation
% 13.28/2.86 % (928819)Time elapsed: 0.055 s
% 13.28/2.86 % (928819)Peak memory usage: 90 MB
% 13.28/2.86 % (928819)Instructions burned: 113 (million)
% 13.28/2.86 % (928821)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1013225352:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 13.28/2.86 % (928821)Instruction limit reached!
% 13.28/2.86 % (928821)------------------------------
% 13.28/2.86 % (928821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928821)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928821)Termination reason: Instruction limit
% 13.28/2.86 % (928821)Termination phase: Property scanning
% 13.28/2.86 % (928821)Time elapsed: 0.059 s
% 13.28/2.86 % (928821)Peak memory usage: 89 MB
% 13.28/2.86 % (928821)Instructions burned: 130 (million)
% 13.28/2.86 % (928824)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4090258322:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 13.28/2.86 % (928824)Instruction limit reached!
% 13.28/2.86 % (928824)------------------------------
% 13.28/2.86 % (928824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928824)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928824)Termination reason: Instruction limit
% 13.28/2.86 % (928824)Termination phase: Saturation
% 13.28/2.86 % (928824)Time elapsed: 0.031 s
% 13.28/2.86 % (928824)Peak memory usage: 90 MB
% 13.28/2.86 % (928824)Instructions burned: 115 (million)
% 13.28/2.86 % (928825)lrs+10_1_sil=8000:sp=occurrence:random_seed=3743695002:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 13.28/2.86 % (928827)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1693636715:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 13.28/2.86 % (928829)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3114042861:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 13.28/2.86 % (928827)Refutation not found, incomplete strategy
% 13.28/2.86 % (928827)------------------------------
% 13.28/2.86 % (928827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928827)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928827)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.86 % (928827)Time elapsed: 0.093 s
% 13.28/2.86 % (928827)Peak memory usage: 93 MB
% 13.28/2.86 % (928827)Instructions burned: 192 (million)
% 13.28/2.86 % (928827)------------------------------
% 13.28/2.86 % (928827)------------------------------
% 13.28/2.86 % (928825)Instruction limit reached!
% 13.28/2.86 % (928825)------------------------------
% 13.28/2.86 % (928825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928825)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928825)Termination reason: Instruction limit
% 13.28/2.86 % (928825)Termination phase: Saturation
% 13.28/2.86 % (928825)Time elapsed: 0.559 s
% 13.28/2.86 % (928825)Peak memory usage: 102 MB
% 13.28/2.86 % (928825)Instructions burned: 907 (million)
% 13.28/2.86 % (928833)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2098602387:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 13.28/2.86 % (928833)Instruction limit reached!
% 13.28/2.86 % (928833)------------------------------
% 13.28/2.86 % (928833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928833)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928833)Termination reason: Instruction limit
% 13.28/2.86 % (928833)Termination phase: Saturation
% 13.28/2.86 % (928833)Time elapsed: 0.061 s
% 13.28/2.86 % (928833)Peak memory usage: 91 MB
% 13.28/2.86 % (928833)Instructions burned: 134 (million)
% 13.28/2.86 % (928829)First to succeed.
% 13.28/2.86 % (928829)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-928790"
% 13.28/2.86 % (928834)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3813705642:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 13.28/2.86 % (928834)Refutation not found, incomplete strategy
% 13.28/2.86 % (928834)------------------------------
% 13.28/2.86 % (928834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.28/2.86 % (928834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.28/2.86 % (928834)CaDiCaL version: 2.1.3
% 13.28/2.86 % (928834)Termination reason: Refutation not found, incomplete strategy
% 13.28/2.86 % (928834)Time elapsed: 0.022 s
% 13.28/2.86 % (928834)Peak memory usage: 90 MB
% 13.28/2.86 % (928834)Instructions burned: 39 (million)
% 13.28/2.86 % (928836)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1842673400:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 13.28/2.86 % (928829)Refutation found. Thanks to Tanya!
% 13.28/2.86 % SZS status Theorem for theBenchmark
% 13.28/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 14.15/2.96 % (928829)------------------------------
% 14.15/2.96 % (928829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.15/2.96 % (928829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.15/2.96 % (928829)CaDiCaL version: 2.1.3
% 14.15/2.96 % (928829)Termination reason: Refutation
% 14.15/2.96 % (928829)Time elapsed: 0.593 s
% 14.15/2.96 % (928829)Peak memory usage: 144 MB
% 14.15/2.96 % (928829)Instructions burned: 1714 (million)
% 14.15/2.96 % (928829)------------------------------
% 14.15/2.96 % (928829)------------------------------
% 14.15/2.96 % (928790)Success in time 1.979 s
% 14.15/2.96 % Vampire exiting
%------------------------------------------------------------------------------