%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM729+4 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:16:42 PM UTC 2026
% Result : Theorem 102.61s 15.57s
% Output : Refutation 103.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 36 unt; 2 def)
% Number of atoms : 278 ( 32 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 287 ( 126 ~; 130 |; 17 &)
% ( 10 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 18 con; 0-2 aty)
% Number of variables : 176 ( 174 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f25,axiom,
! [X0,X1] : gg_bool(aa_fun171081125l_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__fun_It__TPTP____Interpret__Oind_Mt__HOL__Obool_J_001t__HOL__Obool) ).
fof(f31,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__eq) ).
fof(f62,axiom,
! [X0] : scratc1064323704d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f100,axiom,
scratc1063602115d_n_is = scratc1544941754d_e_is(scratc178100876nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f147,axiom,
! [X0] : scratc1544941754d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f194,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1012437814_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f196,axiom,
pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ca)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz40b) ).
fof(f528,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
<=> pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__135) ).
fof(f529,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__136) ).
fof(f659,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__266) ).
fof(f660,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__267) ).
fof(f675,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__282) ).
fof(f690,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__297) ).
fof(f812,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(f816,axiom,
! [X0] :
( gg_bool(X0)
=> ( X0 = fTrue
| X0 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(f817,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f822,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f823,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f827,conjecture,
pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f828,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f827]) ).
fof(f829,plain,
~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f828]) ).
fof(f846,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1012437814_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f194]) ).
fof(f847,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1012437814_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f846]) ).
fof(f1046,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(ennf_transformation,[],[f816]) ).
fof(f1047,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(flattening,[],[f1046]) ).
fof(f1048,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,[],[f823]) ).
fof(f1049,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,[],[f1048]) ).
fof(f1050,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ) ),
inference(nnf_transformation,[],[f31]) ).
fof(f1127,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1012437814_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1012437814_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f847]) ).
fof(f1128,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1012437814_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1012437814_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1)) ) ),
inference(rectify,[],[f1127]) ).
fof(f1129,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1012437814_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1012437814_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f1128]) ).
fof(f1283,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0))) )
& ( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ) ),
inference(nnf_transformation,[],[f528]) ).
fof(f1284,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f529]) ).
fof(f1437,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ) ),
inference(nnf_transformation,[],[f659]) ).
fof(f1438,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ) ),
inference(nnf_transformation,[],[f660]) ).
fof(f1453,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f675]) ).
fof(f1478,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2)))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f690]) ).
fof(f1677,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f24]) ).
fof(f1678,plain,
! [X0,X1] : gg_bool(aa_fun171081125l_bool(X0,X1)),
inference(cnf_transformation,[],[f25]) ).
fof(f1684,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ),
inference(cnf_transformation,[],[f1050]) ).
fof(f1685,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1)),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0)))) ),
inference(cnf_transformation,[],[f1050]) ).
fof(f1719,plain,
! [X0] : scratc1064323704d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X0)),
inference(cnf_transformation,[],[f62]) ).
fof(f1781,plain,
scratc1063602115d_n_is = scratc1544941754d_e_is(scratc178100876nd_nat),
inference(cnf_transformation,[],[f100]) ).
fof(f1845,plain,
! [X0] : scratc1544941754d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f147]) ).
fof(f1929,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
| ~ scratc1012437814_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f1129]) ).
fof(f1930,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f1129]) ).
fof(f1931,plain,
! [X0,X1] :
( scratc1012437814_is_of(sK12(X0,X1),X0)
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1129]) ).
fof(f1932,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),X1)) ),
inference(cnf_transformation,[],[f1129]) ).
fof(f1935,plain,
pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ca)),
inference(cnf_transformation,[],[f196]) ).
fof(f2431,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(cnf_transformation,[],[f1283]) ).
fof(f2434,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f1284]) ).
fof(f2714,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ),
inference(cnf_transformation,[],[f1437]) ).
fof(f2717,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f1438]) ).
fof(f2747,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1))) ),
inference(cnf_transformation,[],[f1453]) ).
fof(f2786,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X0),X2)),aa_TPTP_ind_TPTP_ind(scratc1064323704d_n_ts(X1),X2))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ),
inference(cnf_transformation,[],[f1478]) ).
fof(f3121,plain,
pp(fTrue),
inference(cnf_transformation,[],[f812]) ).
fof(f3125,plain,
! [X0] :
( fTrue = X0
| fFalse = X0
| ~ gg_bool(X0) ),
inference(cnf_transformation,[],[f1047]) ).
fof(f3126,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f817]) ).
fof(f3131,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f822]) ).
fof(f3132,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f1049]) ).
fof(f3136,plain,
~ pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f829]) ).
fof(f3143,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1685,f1719,f1719]) ).
fof(f3144,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ),
inference(definition_unfolding,[],[f1684,f1719,f1719]) ).
fof(f3185,plain,
scratc1063602115d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1781,f1845]) ).
fof(f3290,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X1)),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ),
inference(definition_unfolding,[],[f2747,f1719,f1719]) ).
fof(f3321,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X1)),X2))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ),
inference(definition_unfolding,[],[f2786,f1719,f1719]) ).
fof(f3456,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f3131]) ).
fof(f3457,definition,
sF25 = scratc194837283all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f3458,plain,
scratc194837283all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f3457]) ).
fof(f3459,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f3460,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ac) = sF26,
inference(reorient_equations,[],[f3459]) ).
fof(f3461,plain,
~ pp(sF26),
inference(definition_folding,[],[f3136,f3460,f3458]) ).
fof(f3500,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(backward_demodulation,[],[f3132,f3185]) ).
fof(f3534,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,X1),X1)),
inference(backward_demodulation,[],[f3456,f3185]) ).
fof(f3647,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ca)),
inference(backward_demodulation,[],[f1935,f3458]) ).
fof(f3993,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_bz,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(backward_demodulation,[],[f2431,f3458]) ).
fof(f3996,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(backward_demodulation,[],[f2434,f3458]) ).
fof(f4125,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ),
inference(backward_demodulation,[],[f2714,f3458]) ).
fof(f4128,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(backward_demodulation,[],[f2717,f3458]) ).
fof(f4233,plain,
gg_bool(sF26),
inference(superposition,[],[f1678,f3460]) ).
fof(f4326,plain,
! [X0] :
( fFalse = X0
| pp(X0)
| ~ gg_bool(X0) ),
inference(superposition,[],[f3121,f3125]) ).
fof(f4336,plain,
fFalse = sF26,
inference(unit_resulting_resolution,[],[f4326,f4233,f3461]) ).
fof(f4342,plain,
fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_ac),
inference(backward_demodulation,[],[f3460,f4336]) ).
fof(f4439,plain,
! [X0,X1] :
( ~ pp(aa_fun171081125l_bool(sF25,X0))
| ~ scratc1012437814_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| pp(aa_TPTP_ind_bool(X0,X1)) ),
inference(superposition,[],[f1929,f3458]) ).
fof(f4727,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1)))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))) ),
inference(resolution,[],[f3144,f3500]) ).
fof(f4728,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
| aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))) ),
inference(forward_subsumption_resolution,[],[f4727,f1677]) ).
fof(f4729,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1)) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X1))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ),
inference(forward_subsumption_resolution,[],[f4728,f1677]) ).
fof(f4744,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063602115d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,aa_TPTP_ind_TPTP_ind(scratc179412849nd_num,X0))),aa_TPTP_ind_TPTP_ind(scratc95748216nd_den,X1))))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1)) ),
inference(superposition,[],[f3143,f4729]) ).
fof(f4753,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,X1),X0)) ),
inference(forward_subsumption_resolution,[],[f4744,f3534]) ).
fof(f5234,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
| ~ scratc1012437814_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(resolution,[],[f3993,f4439]) ).
fof(f5330,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1063339717d_n_eq,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X0)),X2)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1305828548bnd_ap,aa_TPTP_ind_TPTP_ind(scratc789872977_times,X1)),X2))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1063405317d_n_fr,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2)) ),
inference(resolution,[],[f3321,f4753]) ).
fof(f6341,plain,
! [X2,X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ),
inference(resolution,[],[f5330,f3290]) ).
fof(f24276,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc1012437814_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f3647,f4439]) ).
fof(f64449,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_by(X0),X1),X2))
| ~ scratc1012437814_is_of(X2,aTP_Lamm_a)
| ~ gg_TPTP_ind(X2)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ),
inference(resolution,[],[f4125,f4439]) ).
fof(f64450,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X1),X2))
| ~ scratc1012437814_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f64449,f6341]) ).
fof(f64454,plain,
! [X2,X0,X1] :
( ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X1),X2))
| ~ scratc1012437814_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2))) ),
inference(resolution,[],[f64450,f1932]) ).
fof(f64455,plain,
! [X2,X0,X1] :
( ~ scratc1012437814_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X1),X2))
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa(X1),X2))) ),
inference(forward_subsumption_resolution,[],[f64454,f1930]) ).
fof(f64456,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(resolution,[],[f64455,f1931]) ).
fof(f64457,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(duplicate_literal_removal,[],[f64456]) ).
fof(f64458,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1)) ),
inference(forward_demodulation,[],[f64457,f3458]) ).
fof(f64459,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bz,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1)) ),
inference(resolution,[],[f64458,f4128]) ).
fof(f64461,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ scratc1012437814_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(resolution,[],[f64459,f5234]) ).
fof(f64463,plain,
! [X0,X1] :
( ~ scratc1012437814_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)),aTP_Lamm_a)
| ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X1))
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1))) ),
inference(resolution,[],[f64461,f1932]) ).
fof(f64464,plain,
! [X0,X1] :
( ~ scratc1012437814_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_ab,X1)),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X1))
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_ab,X1))) ),
inference(forward_subsumption_resolution,[],[f64463,f1930]) ).
fof(f64465,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(resolution,[],[f64464,f1931]) ).
fof(f64466,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(duplicate_literal_removal,[],[f64465]) ).
fof(f64467,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(forward_demodulation,[],[f64466,f3458]) ).
fof(f64468,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ),
inference(resolution,[],[f64467,f3996]) ).
fof(f64470,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ gg_TPTP_ind(X0)
| ~ scratc1012437814_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f64468,f24276]) ).
fof(f64473,plain,
! [X0] :
( ~ gg_TPTP_ind(sK12(X0,aTP_Lamm_ac))
| ~ scratc1012437814_is_of(sK12(X0,aTP_Lamm_ac),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aTP_Lamm_ac)) ),
inference(resolution,[],[f64470,f1932]) ).
fof(f64474,plain,
! [X0] :
( ~ scratc1012437814_is_of(sK12(X0,aTP_Lamm_ac),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc194837283all_of(X0),aTP_Lamm_ac)) ),
inference(forward_subsumption_resolution,[],[f64473,f1930]) ).
fof(f64475,plain,
( pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac))
| pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
inference(resolution,[],[f64474,f1931]) ).
fof(f64476,plain,
pp(aa_fun171081125l_bool(scratc194837283all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(duplicate_literal_removal,[],[f64475]) ).
fof(f64477,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ac)),
inference(forward_demodulation,[],[f64476,f3458]) ).
fof(f64478,plain,
pp(fFalse),
inference(forward_demodulation,[],[f64477,f4342]) ).
fof(f64479,plain,
$false,
inference(forward_subsumption_resolution,[],[f64478,f3126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM729+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n016.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 21:17:47 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.17/3.69 % (2996458)Detected formulas, will run a generic FOF schedule.
% 18.17/3.69 % (2996468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1413941287:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 18.17/3.69 % (2996469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4038088987:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 18.17/3.69 % (2996468)Refutation not found, incomplete strategy
% 18.17/3.69 % (2996468)------------------------------
% 18.17/3.69 % (2996468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.69 % (2996468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.69 % (2996468)CaDiCaL version: 2.1.3
% 18.17/3.69 % (2996468)Termination reason: Refutation not found, incomplete strategy
% 18.17/3.69 % (2996468)Time elapsed: 0.003 s
% 18.17/3.69 % (2996468)Peak memory usage: 88 MB
% 18.17/3.69 % (2996468)Instructions burned: 4 (million)
% 18.17/3.69 % (2996469)Refutation not found, incomplete strategy
% 18.17/3.69 % (2996469)------------------------------
% 18.17/3.69 % (2996469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.69 % (2996469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.69 % (2996469)CaDiCaL version: 2.1.3
% 18.17/3.69 % (2996469)Termination reason: Refutation not found, incomplete strategy
% 18.17/3.69 % (2996469)Time elapsed: 0.004 s
% 18.17/3.69 % (2996469)Peak memory usage: 88 MB
% 18.17/3.69 % (2996469)Instructions burned: 4 (million)
% 18.17/3.69 % (2996466)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=2597887115:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 18.17/3.69 % (2996465)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=1970350892:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 18.17/3.69 % (2996467)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=920621348:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 18.17/3.69 % (2996470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3265607185:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 18.17/3.69 % (2996471)dis-21_1_sil=8000:lcm=predicate:random_seed=371713962: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)
% 18.17/3.69 % (2996471)Instruction limit reached!
% 18.17/3.69 % (2996471)------------------------------
% 18.17/3.69 % (2996471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.69 % (2996471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.69 % (2996471)CaDiCaL version: 2.1.3
% 18.17/3.69 % (2996471)Termination reason: Instruction limit
% 18.17/3.69 % (2996471)Termination phase: Saturation
% 18.17/3.69 % (2996471)Time elapsed: 0.119 s
% 18.17/3.69 % (2996471)Peak memory usage: 90 MB
% 18.17/3.69 % (2996471)Instructions burned: 129 (million)
% 18.17/3.69 % (2996468)------------------------------
% 18.17/3.69 % (2996468)------------------------------
% 18.17/3.69 % (2996470)Instruction limit reached!
% 18.17/3.69 % (2996470)------------------------------
% 18.17/3.69 % (2996470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.69 % (2996470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.17/3.69 % (2996470)CaDiCaL version: 2.1.3
% 18.17/3.69 % (2996470)Termination reason: Instruction limit
% 18.17/3.69 % (2996470)Termination phase: Saturation
% 18.17/3.69 % (2996470)Time elapsed: 0.129 s
% 18.17/3.69 % (2996470)Peak memory usage: 91 MB
% 18.17/3.69 % (2996470)Instructions burned: 139 (million)
% 18.17/3.69 % (2996469)------------------------------
% 18.17/3.69 % (2996469)------------------------------
% 18.17/3.69 % (2996480)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3097915048:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 18.17/3.69 % (2996481)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2402379924:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 18.17/3.69 % (2996480)Refutation not found, incomplete strategy
% 18.17/3.69 % (2996480)------------------------------
% 18.17/3.69 % (2996480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.17/3.69 % (2996480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996480)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996480)Termination reason: Refutation not found, incomplete strategy
% 32.25/5.67 % (2996480)Time elapsed: 0.006 s
% 32.25/5.67 % (2996480)Peak memory usage: 89 MB
% 32.25/5.67 % (2996480)Instructions burned: 13 (million)
% 32.25/5.67 % (2996481)Refutation not found, incomplete strategy
% 32.25/5.67 % (2996481)------------------------------
% 32.25/5.67 % (2996481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.67 % (2996481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996481)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996481)Termination reason: Refutation not found, incomplete strategy
% 32.25/5.67 % (2996481)Time elapsed: 0.006 s
% 32.25/5.67 % (2996481)Peak memory usage: 89 MB
% 32.25/5.67 % (2996481)Instructions burned: 6 (million)
% 32.25/5.67 % (2996479)lrs+10_1_sil=8000:sp=occurrence:random_seed=501094631:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 32.25/5.67 % (2996479)Refutation not found, incomplete strategy
% 32.25/5.67 % (2996479)------------------------------
% 32.25/5.67 % (2996479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.67 % (2996479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996479)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996479)Termination reason: Refutation not found, incomplete strategy
% 32.25/5.67 % (2996479)Time elapsed: 0.006 s
% 32.25/5.67 % (2996479)Peak memory usage: 89 MB
% 32.25/5.67 % (2996479)Instructions burned: 3 (million)
% 32.25/5.67 % (2996482)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=665814635:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 32.25/5.67 % (2996480)------------------------------
% 32.25/5.67 % (2996480)------------------------------
% 32.25/5.67 % (2996481)------------------------------
% 32.25/5.67 % (2996481)------------------------------
% 32.25/5.67 % (2996482)Instruction limit reached!
% 32.25/5.67 % (2996482)------------------------------
% 32.25/5.67 % (2996482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.67 % (2996482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996482)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996482)Termination reason: Instruction limit
% 32.25/5.67 % (2996482)Termination phase: Saturation
% 32.25/5.67 % (2996482)Time elapsed: 0.241 s
% 32.25/5.67 % (2996482)Peak memory usage: 92 MB
% 32.25/5.67 % (2996482)Instructions burned: 248 (million)
% 32.25/5.67 % (2996479)------------------------------
% 32.25/5.67 % (2996479)------------------------------
% 32.25/5.67 % (2996487)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1937447208:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 32.25/5.67 % (2996487)Refutation not found, incomplete strategy
% 32.25/5.67 % (2996487)------------------------------
% 32.25/5.67 % (2996487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.67 % (2996487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996487)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996487)Termination reason: Refutation not found, incomplete strategy
% 32.25/5.67 % (2996487)Time elapsed: 0.006 s
% 32.25/5.67 % (2996487)Peak memory usage: 88 MB
% 32.25/5.67 % (2996487)Instructions burned: 8 (million)
% 32.25/5.67 % (2996488)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2785866142:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 32.25/5.67 % (2996489)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4221688331:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 32.25/5.67 % (2996487)------------------------------
% 32.25/5.67 % (2996487)------------------------------
% 32.25/5.67 % (2996491)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3037173334:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 32.25/5.67 % (2996489)Instruction limit reached!
% 32.25/5.67 % (2996489)------------------------------
% 32.25/5.67 % (2996489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.25/5.67 % (2996489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.25/5.67 % (2996489)CaDiCaL version: 2.1.3
% 32.25/5.67 % (2996489)Termination reason: Instruction limit
% 32.25/5.67 % (2996489)Termination phase: Saturation
% 32.25/5.67 % (2996489)Time elapsed: 0.104 s
% 68.10/10.67 % (2996489)Peak memory usage: 90 MB
% 68.10/10.67 % (2996489)Instructions burned: 113 (million)
% 68.10/10.67 % (2996491)Instruction limit reached!
% 68.10/10.67 % (2996491)------------------------------
% 68.10/10.67 % (2996491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996491)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996491)Termination reason: Instruction limit
% 68.10/10.67 % (2996491)Termination phase: Saturation
% 68.10/10.67 % (2996491)Time elapsed: 0.103 s
% 68.10/10.67 % (2996491)Peak memory usage: 90 MB
% 68.10/10.67 % (2996491)Instructions burned: 127 (million)
% 68.10/10.67 % (2996494)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3494297102:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 68.10/10.67 % (2996494)Instruction limit reached!
% 68.10/10.67 % (2996494)------------------------------
% 68.10/10.67 % (2996494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996494)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996494)Termination reason: Instruction limit
% 68.10/10.67 % (2996494)Termination phase: Saturation
% 68.10/10.67 % (2996494)Time elapsed: 0.058 s
% 68.10/10.67 % (2996494)Peak memory usage: 90 MB
% 68.10/10.67 % (2996494)Instructions burned: 115 (million)
% 68.10/10.67 % (2996496)lrs+10_1_sil=8000:sp=occurrence:random_seed=3882461632:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 68.10/10.67 % (2996497)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3267428064:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 68.10/10.67 % (2996497)Refutation not found, incomplete strategy
% 68.10/10.67 % (2996497)------------------------------
% 68.10/10.67 % (2996497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996497)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996497)Termination reason: Refutation not found, incomplete strategy
% 68.10/10.67 % (2996497)Time elapsed: 0.058 s
% 68.10/10.67 % (2996497)Peak memory usage: 91 MB
% 68.10/10.67 % (2996497)Instructions burned: 119 (million)
% 68.10/10.67 % (2996499)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2300070144:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 68.10/10.67 % (2996497)------------------------------
% 68.10/10.67 % (2996497)------------------------------
% 68.10/10.67 % (2996503)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3679841769:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 68.10/10.67 % (2996503)Instruction limit reached!
% 68.10/10.67 % (2996503)------------------------------
% 68.10/10.67 % (2996503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996503)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996503)Termination reason: Instruction limit
% 68.10/10.67 % (2996503)Termination phase: Saturation
% 68.10/10.67 % (2996503)Time elapsed: 0.065 s
% 68.10/10.67 % (2996503)Peak memory usage: 93 MB
% 68.10/10.67 % (2996503)Instructions burned: 135 (million)
% 68.10/10.67 % (2996505)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4238905265:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 68.10/10.67 % (2996505)Refutation not found, incomplete strategy
% 68.10/10.67 % (2996505)------------------------------
% 68.10/10.67 % (2996505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996505)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996505)Termination reason: Refutation not found, incomplete strategy
% 68.10/10.67 % (2996505)Time elapsed: 0.014 s
% 68.10/10.67 % (2996505)Peak memory usage: 89 MB
% 68.10/10.67 % (2996505)Instructions burned: 26 (million)
% 68.10/10.67 % (2996496)Instruction limit reached!
% 68.10/10.67 % (2996496)------------------------------
% 68.10/10.67 % (2996496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.10/10.67 % (2996496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.10/10.67 % (2996496)CaDiCaL version: 2.1.3
% 68.10/10.67 % (2996496)Termination reason: Instruction limit
% 102.61/15.57 % (2996496)Termination phase: Saturation
% 102.61/15.57 % (2996496)Time elapsed: 0.928 s
% 102.61/15.57 % (2996496)Peak memory usage: 101 MB
% 102.61/15.57 % (2996496)Instructions burned: 907 (million)
% 102.61/15.57 % (2996505)------------------------------
% 102.61/15.57 % (2996505)------------------------------
% 102.61/15.57 % (2996507)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=4255890415:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 102.61/15.57 % (2996508)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=1182945983:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/125Mi)
% 102.61/15.57 % (2996508)Instruction limit reached!
% 102.61/15.57 % (2996508)------------------------------
% 102.61/15.57 % (2996508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996508)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996508)Termination reason: Instruction limit
% 102.61/15.57 % (2996508)Termination phase: Saturation
% 102.61/15.57 % (2996508)Time elapsed: 0.119 s
% 102.61/15.57 % (2996508)Peak memory usage: 92 MB
% 102.61/15.57 % (2996508)Instructions burned: 126 (million)
% 102.61/15.57 % (2996513)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4053114732:i=134:gtgl=5:slsql=off:gtg=exists_sym_2967 on theBenchmark for (2967ds/134Mi)
% 102.61/15.57 % (2996513)Instruction limit reached!
% 102.61/15.57 % (2996513)------------------------------
% 102.61/15.57 % (2996513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996513)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996513)Termination reason: Instruction limit
% 102.61/15.57 % (2996513)Termination phase: Saturation
% 102.61/15.57 % (2996513)Time elapsed: 0.115 s
% 102.61/15.57 % (2996513)Peak memory usage: 92 MB
% 102.61/15.57 % (2996513)Instructions burned: 135 (million)
% 102.61/15.57 % (2996488)Instruction limit reached!
% 102.61/15.57 % (2996488)------------------------------
% 102.61/15.57 % (2996488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996488)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996488)Termination reason: Instruction limit
% 102.61/15.57 % (2996488)Termination phase: Saturation
% 102.61/15.57 % (2996488)Time elapsed: 2.506 s
% 102.61/15.57 % (2996488)Peak memory usage: 149 MB
% 102.61/15.57 % (2996488)Instructions burned: 2350 (million)
% 102.61/15.57 % (2996515)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=607659047:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2963 on theBenchmark for (2963ds/141Mi)
% 102.61/15.57 % (2996515)Refutation not found, incomplete strategy
% 102.61/15.57 % (2996515)------------------------------
% 102.61/15.57 % (2996515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996515)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996515)Termination reason: Refutation not found, incomplete strategy
% 102.61/15.57 % (2996515)Time elapsed: 0.005 s
% 102.61/15.57 % (2996515)Peak memory usage: 89 MB
% 102.61/15.57 % (2996515)Instructions burned: 4 (million)
% 102.61/15.57 % (2996516)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1947355587:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 102.61/15.57 % (2996516)Refutation not found, incomplete strategy
% 102.61/15.57 % (2996516)------------------------------
% 102.61/15.57 % (2996516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996516)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996516)Termination reason: Refutation not found, incomplete strategy
% 102.61/15.57 % (2996516)Time elapsed: 0.006 s
% 102.61/15.57 % (2996516)Peak memory usage: 89 MB
% 102.61/15.57 % (2996516)Instructions burned: 3 (million)
% 102.61/15.57 % (2996515)------------------------------
% 102.61/15.57 % (2996515)------------------------------
% 102.61/15.57 % (2996516)------------------------------
% 102.61/15.57 % (2996516)------------------------------
% 102.61/15.57 % (2996520)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=3621193738:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 102.61/15.57 % (2996522)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=1274862743:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2955 on theBenchmark for (2955ds/150Mi)
% 102.61/15.57 % (2996522)Instruction limit reached!
% 102.61/15.57 % (2996522)------------------------------
% 102.61/15.57 % (2996522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996522)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996522)Termination reason: Instruction limit
% 102.61/15.57 % (2996522)Termination phase: Saturation
% 102.61/15.57 % (2996522)Time elapsed: 0.144 s
% 102.61/15.57 % (2996522)Peak memory usage: 91 MB
% 102.61/15.57 % (2996522)Instructions burned: 150 (million)
% 102.61/15.57 % (2996525)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4126424870:i=14155:bd=all_2951 on theBenchmark for (2951ds/14155Mi)
% 102.61/15.57 % (2996499)Instruction limit reached!
% 102.61/15.57 % (2996499)------------------------------
% 102.61/15.57 % (2996499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996499)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996499)Termination reason: Instruction limit
% 102.61/15.57 % (2996499)Termination phase: Saturation
% 102.61/15.57 % (2996499)Time elapsed: 3.328 s
% 102.61/15.57 % (2996499)Peak memory usage: 166 MB
% 102.61/15.57 % (2996499)Instructions burned: 5203 (million)
% 102.61/15.57 % (2996529)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1268401175:i=667:av=off:fsr=off_2946 on theBenchmark for (2946ds/667Mi)
% 102.61/15.57 % (2996529)Instruction limit reached!
% 102.61/15.57 % (2996529)------------------------------
% 102.61/15.57 % (2996529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996529)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996529)Termination reason: Instruction limit
% 102.61/15.57 % (2996529)Termination phase: Saturation
% 102.61/15.57 % (2996529)Time elapsed: 0.299 s
% 102.61/15.57 % (2996529)Peak memory usage: 99 MB
% 102.61/15.57 % (2996529)Instructions burned: 669 (million)
% 102.61/15.57 % (2996531)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=2474281481:s2a=on:i=185:s2at=1.8:fdi=4_2941 on theBenchmark for (2941ds/185Mi)
% 102.61/15.57 % (2996531)Instruction limit reached!
% 102.61/15.57 % (2996531)------------------------------
% 102.61/15.57 % (2996531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996531)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996531)Termination reason: Instruction limit
% 102.61/15.57 % (2996531)Termination phase: Saturation
% 102.61/15.57 % (2996531)Time elapsed: 0.081 s
% 102.61/15.57 % (2996531)Peak memory usage: 91 MB
% 102.61/15.57 % (2996531)Instructions burned: 187 (million)
% 102.61/15.57 % (2996533)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2065040594:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2938 on theBenchmark for (2938ds/193Mi)
% 102.61/15.57 % (2996533)Refutation not found, incomplete strategy
% 102.61/15.57 % (2996533)------------------------------
% 102.61/15.57 % (2996533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996533)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996533)Termination reason: Refutation not found, incomplete strategy
% 102.61/15.57 % (2996533)Time elapsed: 0.005 s
% 102.61/15.57 % (2996533)Peak memory usage: 89 MB
% 102.61/15.57 % (2996533)Instructions burned: 7 (million)
% 102.61/15.57 % (2996533)------------------------------
% 102.61/15.57 % (2996533)------------------------------
% 102.61/15.57 % (2996535)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2173483700:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2933 on theBenchmark for (2933ds/4850Mi)
% 102.61/15.57 % (2996535)Instruction limit reached!
% 102.61/15.57 % (2996535)------------------------------
% 102.61/15.57 % (2996535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996535)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996535)Termination reason: Instruction limit
% 102.61/15.57 % (2996535)Termination phase: Saturation
% 102.61/15.57 % (2996535)Time elapsed: 2.755 s
% 102.61/15.57 % (2996535)Peak memory usage: 153 MB
% 102.61/15.57 % (2996535)Instructions burned: 4851 (million)
% 102.61/15.57 % (2996537)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2721669333:i=12111:sd=1:ss=included_2903 on theBenchmark for (2903ds/12111Mi)
% 102.61/15.57 % (2996520)Instruction limit reached!
% 102.61/15.57 % (2996520)------------------------------
% 102.61/15.57 % (2996520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996520)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996520)Termination reason: Instruction limit
% 102.61/15.57 % (2996520)Termination phase: Saturation
% 102.61/15.57 % (2996520)Time elapsed: 6.411 s
% 102.61/15.57 % (2996520)Peak memory usage: 203 MB
% 102.61/15.57 % (2996520)Instructions burned: 6060 (million)
% 102.61/15.57 % (2996539)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=719475293:i=319:kws=precedence:fsr=off_2889 on theBenchmark for (2889ds/319Mi)
% 102.61/15.57 % (2996539)Instruction limit reached!
% 102.61/15.57 % (2996539)------------------------------
% 102.61/15.57 % (2996539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996539)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996539)Termination reason: Instruction limit
% 102.61/15.57 % (2996539)Termination phase: Saturation
% 102.61/15.57 % (2996539)Time elapsed: 0.277 s
% 102.61/15.57 % (2996539)Peak memory usage: 93 MB
% 102.61/15.57 % (2996539)Instructions burned: 319 (million)
% 102.61/15.57 % (2996541)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=550726289:i=2064:ep=RST_2883 on theBenchmark for (2883ds/2064Mi)
% 102.61/15.57 % (2996541)Refutation not found, incomplete strategy
% 102.61/15.57 % (2996541)------------------------------
% 102.61/15.57 % (2996541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996541)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996541)Termination reason: Refutation not found, incomplete strategy
% 102.61/15.57 % (2996541)Time elapsed: 0.047 s
% 102.61/15.57 % (2996541)Peak memory usage: 91 MB
% 102.61/15.57 % (2996541)Instructions burned: 104 (million)
% 102.61/15.57 % (2996541)------------------------------
% 102.61/15.57 % (2996541)------------------------------
% 102.61/15.57 % (2996544)dis-1011_128_sil=32000:random_seed=1323548868:i=3706:ep=RST:av=off_2878 on theBenchmark for (2878ds/3706Mi)
% 102.61/15.57 % (2996507)Instruction limit reached!
% 102.61/15.57 % (2996507)------------------------------
% 102.61/15.57 % (2996507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996507)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996507)Termination reason: Instruction limit
% 102.61/15.57 % (2996507)Termination phase: Saturation
% 102.61/15.57 % (2996507)Time elapsed: 11.179 s
% 102.61/15.57 % (2996507)Peak memory usage: 187 MB
% 102.61/15.57 % (2996507)Instructions burned: 13195 (million)
% 102.61/15.57 % (2996525)First to succeed.
% 102.61/15.57 % (2996525)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2996458"
% 102.61/15.57 % (2996699)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=2196126222:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2858 on theBenchmark for (2858ds/757Mi)
% 102.61/15.57 % (2996699)Refutation not found, incomplete strategy
% 102.61/15.57 % (2996699)------------------------------
% 102.61/15.57 % (2996699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 102.61/15.57 % (2996699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 102.61/15.57 % (2996699)CaDiCaL version: 2.1.3
% 102.61/15.57 % (2996699)Termination reason: Refutation not found, incomplete strategy
% 102.61/15.57 % (2996699)Time elapsed: 0.008 s
% 102.61/15.57 % (2996699)Peak memory usage: 89 MB
% 102.61/15.57 % (2996699)Instructions burned: 11 (million)
% 102.61/15.57 % (2996525)Refutation found. Thanks to Tanya!
% 102.61/15.57 % SZS status Theorem for theBenchmark
% 102.61/15.57 % SZS output start Proof for theBenchmark
% See solution above
% 103.51/15.78 % (2996525)------------------------------
% 103.51/15.78 % (2996525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 103.51/15.78 % (2996525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 103.51/15.78 % (2996525)CaDiCaL version: 2.1.3
% 103.51/15.78 % (2996525)Termination reason: Refutation
% 103.51/15.78 % (2996525)Time elapsed: 9.067 s
% 103.51/15.78 % (2996525)Peak memory usage: 234 MB
% 103.51/15.78 % (2996525)Instructions burned: 10993 (million)
% 103.51/15.78 % (2996525)------------------------------
% 103.51/15.78 % (2996525)------------------------------
% 103.51/15.78 % (2996458)Success in time 14.545 s
% 103.51/15.78 % Vampire exiting
%------------------------------------------------------------------------------