%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM684+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 : n007.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 12:16:27 PM UTC 2026
% Result : Theorem 11.49s 2.39s
% Output : Refutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 158 ( 28 unt; 17 def)
% Number of atoms : 382 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 383 ( 159 ~; 171 |; 21 &)
% ( 28 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 18 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 100 ( 0 sgn 98 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0] : scratc1800197051d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc316709488_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f196,axiom,
pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_gl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz8a) ).
fof(f305,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_gl,X0))
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__26) ).
fof(f351,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__72) ).
fof(f398,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__119) ).
fof(f423,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__144) ).
fof(f440,axiom,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__161) ).
fof(f442,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(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1)))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X0),X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__163) ).
fof(f526,conjecture,
pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f527,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(negated_conjecture,[status(cth)],[f526]) ).
fof(f528,plain,
~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(flattening,[],[f527]) ).
fof(f545,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc316709488_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f546,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc316709488_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f545]) ).
fof(f627,plain,
! [X0,X1,X2] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2))) ) ),
inference(ennf_transformation,[],[f440]) ).
fof(f629,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(scratc1799737865d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1))) ) ),
inference(ennf_transformation,[],[f442]) ).
fof(f748,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc316709488_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc316709488_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f546]) ).
fof(f749,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc316709488_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc316709488_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1)) ) ),
inference(rectify,[],[f748]) ).
fof(f750,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc316709488_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc316709488_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f749]) ).
fof(f795,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_gl,X0))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gl,X0)) ) ),
inference(nnf_transformation,[],[f305]) ).
fof(f841,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0)) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f903,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,X0),X1)) ) ),
inference(nnf_transformation,[],[f398]) ).
fof(f928,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc1582350953all_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,[],[f423]) ).
fof(f947,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f627]) ).
fof(f948,plain,
! [X0,X1,X2] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2)) ) ),
inference(flattening,[],[f947]) ).
fof(f951,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(scratc1799737865d_n_is,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(nnf_transformation,[],[f629]) ).
fof(f952,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(scratc1799737865d_n_is,X0),X1))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1))) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1),X2)) ) ),
inference(flattening,[],[f951]) ).
fof(f1093,plain,
! [X0] : scratc1800197051d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1267,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc316709488_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1)) ),
inference(cnf_transformation,[],[f750]) ).
fof(f1268,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f750]) ).
fof(f1269,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| scratc316709488_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f750]) ).
fof(f1270,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f750]) ).
fof(f1320,plain,
pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_gl)),
inference(cnf_transformation,[],[f196]) ).
fof(f1484,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_gl,X0)) ),
inference(cnf_transformation,[],[f795]) ).
fof(f1577,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ac,X0))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,X0))) ),
inference(cnf_transformation,[],[f841]) ).
fof(f1683,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,X0),X1)) ),
inference(cnf_transformation,[],[f903]) ).
fof(f1734,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(X0),X1))) ),
inference(cnf_transformation,[],[f928]) ).
fof(f1769,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X1)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X0),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2)) ),
inference(cnf_transformation,[],[f948]) ).
fof(f1776,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(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X0)),aa_TPTP_ind_TPTP_ind(scratc1800197051d_n_pl(X2),X1))) ),
inference(cnf_transformation,[],[f952]) ).
fof(f1777,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(scratc1799737865d_n_is,X0),X1)) ),
inference(cnf_transformation,[],[f952]) ).
fof(f1973,plain,
~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac)),
inference(cnf_transformation,[],[f528]) ).
fof(f2077,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,X1),X2))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X0)),X1)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X0)),X2)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(X0),X1),X2)) ),
inference(definition_unfolding,[],[f1769,f1093,f1093]) ).
fof(f2080,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(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X2)),X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,X2)),X1))) ),
inference(definition_unfolding,[],[f1776,f1093,f1093]) ).
fof(f2171,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2173,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_ac))
| spl29_1 ),
inference(avatar_component_clause,[],[f2171]) ).
fof(f2174,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1973,f2171]) ).
fof(f2175,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| spl29_1 ),
inference(resolution,[],[f2173,f1268]) ).
fof(f2176,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2173,f1269]) ).
fof(f2177,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_1 ),
inference(resolution,[],[f2173,f1270]) ).
fof(f2190,definition,
( spl29_2
<=> scratc316709488_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2192,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ac),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2193,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2176,f2171,f2190]) ).
fof(f2195,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2197,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ac,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2198,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2177,f2171,f2195]) ).
fof(f2199,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_3 ),
inference(resolution,[],[f2197,f1577]) ).
fof(f2237,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2239,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f2240,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2175,f2171,f2237]) ).
fof(f2242,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ac))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2192,f1267]) ).
fof(f2243,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2242,f2239]) ).
fof(f2245,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2246,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f2247,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2243,f2237,f2190,f2245]) ).
fof(f2806,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f2808,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2806]) ).
fof(f2809,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2199,f2195,f2806]) ).
fof(f2811,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| spl29_6 ),
inference(resolution,[],[f2808,f1268]) ).
fof(f2812,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f2808,f1269]) ).
fof(f2813,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_6 ),
inference(resolution,[],[f2808,f1270]) ).
fof(f2826,definition,
( spl29_7
<=> scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f2828,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f2826]) ).
fof(f2829,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2812,f2806,f2826]) ).
fof(f2831,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f2833,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f2831]) ).
fof(f2834,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2813,f2806,f2831]) ).
fof(f2835,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_8 ),
inference(resolution,[],[f2833,f1734]) ).
fof(f2881,definition,
( spl29_9
<=> pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f2883,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f2881]) ).
fof(f2884,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2835,f2831,f2881]) ).
fof(f2886,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_9 ),
inference(resolution,[],[f2883,f1268]) ).
fof(f2887,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| spl29_9 ),
inference(resolution,[],[f2883,f1269]) ).
fof(f2888,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_9 ),
inference(resolution,[],[f2883,f1270]) ).
fof(f2901,definition,
( spl29_10
<=> scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f2903,plain,
( scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))),aTP_Lamm_a)
| ~ spl29_10 ),
inference(avatar_component_clause,[],[f2901]) ).
fof(f2904,plain,
( spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2887,f2881,f2901]) ).
fof(f2906,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| ~ spl29_10 ),
inference(resolution,[],[f2903,f1267]) ).
fof(f2907,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| spl29_9
| ~ spl29_10 ),
inference(forward_subsumption_resolution,[],[f2906,f2886]) ).
fof(f3473,definition,
( spl29_12
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3474,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),X0)) )
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3473]) ).
fof(f3475,plain,
( spl29_12
| spl29_9
| ~ spl29_10 ),
inference(avatar_split_clause,[],[f2907,f2901,f2881,f3473]) ).
fof(f3477,definition,
( spl29_13
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f3479,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f3477]) ).
fof(f3480,plain,
( spl29_13
| spl29_6 ),
inference(avatar_split_clause,[],[f2811,f2806,f3477]) ).
fof(f3669,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f3671,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))))
| spl29_16 ),
inference(avatar_component_clause,[],[f3669]) ).
fof(f3672,plain,
( ~ spl29_16
| spl29_9 ),
inference(avatar_split_clause,[],[f2888,f2881,f3669]) ).
fof(f3673,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| spl29_16 ),
inference(resolution,[],[f3671,f2080]) ).
fof(f3674,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16 ),
inference(resolution,[],[f3671,f1777]) ).
fof(f3727,definition,
( spl29_18
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))) ),
introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition]) ).
fof(f3729,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc535879166bnd_ap,aa_TPTP_ind_TPTP_ind(scratc818469225d_plus,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))
| ~ spl29_18 ),
inference(avatar_component_clause,[],[f3727]) ).
fof(f3730,plain,
( spl29_18
| spl29_16 ),
inference(avatar_split_clause,[],[f3673,f3669,f3727]) ).
fof(f3733,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1799737865d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| ~ spl29_18 ),
inference(resolution,[],[f3729,f2077]) ).
fof(f3782,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_16
| ~ spl29_18 ),
inference(forward_subsumption_resolution,[],[f3733,f3674]) ).
fof(f3793,definition,
( spl29_19
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f3795,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))
| spl29_19 ),
inference(avatar_component_clause,[],[f3793]) ).
fof(f3796,plain,
( ~ spl29_19
| spl29_16
| ~ spl29_18 ),
inference(avatar_split_clause,[],[f3782,f3727,f3669,f3793]) ).
fof(f3809,plain,
( ! [X0] :
( ~ scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
| spl29_19 ),
inference(resolution,[],[f3795,f1267]) ).
fof(f3843,plain,
( ! [X0] :
( ~ scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) )
| ~ spl29_13
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f3809,f3479]) ).
fof(f3845,definition,
( spl29_20
<=> ! [X0] :
( ~ scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0)
| ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))) ) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f3846,plain,
( ! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_gj(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))))
| ~ scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),X0) )
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f3845]) ).
fof(f3847,plain,
( spl29_20
| ~ spl29_13
| spl29_19 ),
inference(avatar_split_clause,[],[f3843,f3793,f3477,f3845]) ).
fof(f3848,plain,
( ~ scratc316709488_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))),aTP_Lamm_a)
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_20 ),
inference(resolution,[],[f3846,f1683]) ).
fof(f3864,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| ~ spl29_7
| ~ spl29_20 ),
inference(forward_subsumption_resolution,[],[f3848,f2828]) ).
fof(f3866,definition,
( spl29_21
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac))) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f3868,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac)))))),sK12(aTP_Lamm_a,aTP_Lamm_ac)))
| spl29_21 ),
inference(avatar_component_clause,[],[f3866]) ).
fof(f3869,plain,
( ~ spl29_21
| ~ spl29_7
| ~ spl29_20 ),
inference(avatar_split_clause,[],[f3864,f3845,f2826,f3866]) ).
fof(f3877,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_5
| spl29_21 ),
inference(resolution,[],[f3868,f2246]) ).
fof(f4466,plain,
( ~ pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aTP_Lamm_gl))
| pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_12 ),
inference(resolution,[],[f3474,f1484]) ).
fof(f4523,plain,
( pp(aa_fun171081125l_bool(scratc1582350953all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_gk,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa(sK12(aTP_Lamm_a,aTP_Lamm_ac)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ac))))))))
| ~ spl29_12 ),
inference(forward_subsumption_resolution,[],[f4466,f1320]) ).
fof(f4631,plain,
( $false
| ~ spl29_5
| ~ spl29_12
| spl29_21 ),
inference(forward_subsumption_resolution,[],[f4523,f3877]) ).
fof(f4632,plain,
( ~ spl29_5
| ~ spl29_12
| spl29_21 ),
inference(avatar_contradiction_clause,[],[f4631]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2174]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2193]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2198]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2240]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2247]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2809]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2829]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2834]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s10,plain,
( spl29_9
| spl29_10 ),
inference(sat_conversion,[],[f2904]) ).
cnf(s12,plain,
( spl29_9
| ~ spl29_10
| spl29_12 ),
inference(sat_conversion,[],[f3475]) ).
cnf(s13,plain,
( spl29_6
| spl29_13 ),
inference(sat_conversion,[],[f3480]) ).
cnf(s16,plain,
( spl29_9
| ~ spl29_16 ),
inference(sat_conversion,[],[f3672]) ).
cnf(s18,plain,
( spl29_16
| spl29_18 ),
inference(sat_conversion,[],[f3730]) ).
cnf(s19,plain,
( spl29_16
| ~ spl29_18
| ~ spl29_19 ),
inference(sat_conversion,[],[f3796]) ).
cnf(s20,plain,
( ~ spl29_13
| spl29_19
| spl29_20 ),
inference(sat_conversion,[],[f3847]) ).
cnf(s21,plain,
( ~ spl29_7
| ~ spl29_20
| ~ spl29_21 ),
inference(sat_conversion,[],[f3869]) ).
cnf(s27,plain,
( ~ spl29_5
| ~ spl29_12
| spl29_21 ),
inference(sat_conversion,[],[f4632]) ).
cnf(s28,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s29,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s30,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s31,plain,
~ spl29_6,
inference(rat,[],[s6,s29]) ).
cnf(s32,plain,
spl29_5,
inference(rat,[],[s5,s28,s30]) ).
cnf(s33,plain,
spl29_13,
inference(rat,[],[s13,s31]) ).
cnf(s34,plain,
~ spl29_8,
inference(rat,[],[s8,s31]) ).
cnf(s35,plain,
spl29_7,
inference(rat,[],[s7,s31]) ).
cnf(s37,plain,
~ spl29_9,
inference(rat,[],[s9,s34]) ).
cnf(s39,plain,
~ spl29_16,
inference(rat,[],[s16,s37]) ).
cnf(s41,plain,
spl29_10,
inference(rat,[],[s10,s37]) ).
cnf(s42,plain,
spl29_18,
inference(rat,[],[s18,s39]) ).
cnf(s44,plain,
spl29_12,
inference(rat,[],[s12,s37,s41]) ).
cnf(s49,plain,
~ spl29_19,
inference(rat,[],[s19,s39,s42]) ).
cnf(s50,plain,
spl29_21,
inference(rat,[],[s27,s32,s44]) ).
cnf(s52,plain,
spl29_20,
inference(rat,[],[s20,s33,s49]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s21,s35,s50,s52]) ).
fof(f4635,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM684+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n007.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 21:03:10 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
% 11.49/2.39 % (1777992)Detected formulas, will run a generic FOF schedule.
% 11.49/2.39 % (1778075)dis-21_1_sil=8000:lcm=predicate:random_seed=4213919990: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)
% 11.49/2.39 % (1778070)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=3962847623:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.49/2.39 % (1778069)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=3199495747:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.49/2.39 % (1778068)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=1222026537:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.49/2.39 % (1778071)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2119451599:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.49/2.39 % (1778075)Instruction limit reached!
% 11.49/2.39 % (1778075)------------------------------
% 11.49/2.39 % (1778075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778075)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778075)Termination reason: Instruction limit
% 11.49/2.39 % (1778075)Termination phase: Saturation
% 11.49/2.39 % (1778075)Time elapsed: 0.041 s
% 11.49/2.39 % (1778075)Peak memory usage: 90 MB
% 11.49/2.39 % (1778075)Instructions burned: 129 (million)
% 11.49/2.39 % (1778071)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778071)------------------------------
% 11.49/2.39 % (1778071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778071)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778071)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778071)Time elapsed: 0.002 s
% 11.49/2.39 % (1778071)Peak memory usage: 88 MB
% 11.49/2.39 % (1778071)Instructions burned: 2 (million)
% 11.49/2.39 % (1778072)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1680268152:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.49/2.39 % (1778072)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778072)------------------------------
% 11.49/2.39 % (1778072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778072)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778072)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778072)Time elapsed: 0.003 s
% 11.49/2.39 % (1778072)Peak memory usage: 88 MB
% 11.49/2.39 % (1778072)Instructions burned: 3 (million)
% 11.49/2.39 % (1778074)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4256554028:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.49/2.39 % (1778074)Instruction limit reached!
% 11.49/2.39 % (1778074)------------------------------
% 11.49/2.39 % (1778074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778074)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778074)Termination reason: Instruction limit
% 11.49/2.39 % (1778074)Termination phase: Saturation
% 11.49/2.39 % (1778074)Time elapsed: 0.087 s
% 11.49/2.39 % (1778074)Peak memory usage: 90 MB
% 11.49/2.39 % (1778074)Instructions burned: 141 (million)
% 11.49/2.39 % (1778108)lrs+10_1_sil=8000:sp=occurrence:random_seed=2513576166:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.49/2.39 % (1778108)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778108)------------------------------
% 11.49/2.39 % (1778108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778108)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778108)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778108)Time elapsed: 0.002 s
% 11.49/2.39 % (1778108)Peak memory usage: 88 MB
% 11.49/2.39 % (1778108)Instructions burned: 2 (million)
% 11.49/2.39 % (1778072)------------------------------
% 11.49/2.39 % (1778072)------------------------------
% 11.49/2.39 % (1778113)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2725910982:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.49/2.39 % (1778113)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778113)------------------------------
% 11.49/2.39 % (1778113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778113)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778113)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778113)Time elapsed: 0.005 s
% 11.49/2.39 % (1778113)Peak memory usage: 88 MB
% 11.49/2.39 % (1778113)Instructions burned: 8 (million)
% 11.49/2.39 % (1778071)------------------------------
% 11.49/2.39 % (1778071)------------------------------
% 11.49/2.39 % (1778108)------------------------------
% 11.49/2.39 % (1778108)------------------------------
% 11.49/2.39 % (1778131)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2280956655:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.49/2.39 % (1778131)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778131)------------------------------
% 11.49/2.39 % (1778131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778122)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3418140010:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.49/2.39 % (1778131)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778131)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778131)Time elapsed: 0.004 s
% 11.49/2.39 % (1778131)Peak memory usage: 88 MB
% 11.49/2.39 % (1778131)Instructions burned: 6 (million)
% 11.49/2.39 % (1778122)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778122)------------------------------
% 11.49/2.39 % (1778122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778122)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778122)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778122)Time elapsed: 0.008 s
% 11.49/2.39 % (1778122)Peak memory usage: 89 MB
% 11.49/2.39 % (1778122)Instructions burned: 5 (million)
% 11.49/2.39 % (1778130)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=2177586908:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 11.49/2.39 % (1778113)------------------------------
% 11.49/2.39 % (1778113)------------------------------
% 11.49/2.39 % (1778131)------------------------------
% 11.49/2.39 % (1778131)------------------------------
% 11.49/2.39 % (1778130)Instruction limit reached!
% 11.49/2.39 % (1778130)------------------------------
% 11.49/2.39 % (1778130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778130)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778130)Termination reason: Instruction limit
% 11.49/2.39 % (1778130)Termination phase: Saturation
% 11.49/2.39 % (1778130)Time elapsed: 0.220 s
% 11.49/2.39 % (1778130)Peak memory usage: 95 MB
% 11.49/2.39 % (1778130)Instructions burned: 248 (million)
% 11.49/2.39 % (1778122)------------------------------
% 11.49/2.39 % (1778122)------------------------------
% 11.49/2.39 % (1778159)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4173378609:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 11.49/2.39 % (1778161)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4183709568:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 11.49/2.39 % (1778161)Instruction limit reached!
% 11.49/2.39 % (1778161)------------------------------
% 11.49/2.39 % (1778161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778161)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778161)Termination reason: Instruction limit
% 11.49/2.39 % (1778161)Termination phase: Saturation
% 11.49/2.39 % (1778161)Time elapsed: 0.106 s
% 11.49/2.39 % (1778161)Peak memory usage: 90 MB
% 11.49/2.39 % (1778161)Instructions burned: 114 (million)
% 11.49/2.39 % (1778163)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=288720993:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 11.49/2.39 % (1778163)Instruction limit reached!
% 11.49/2.39 % (1778163)------------------------------
% 11.49/2.39 % (1778163)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778163)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778163)Termination reason: Instruction limit
% 11.49/2.39 % (1778163)Termination phase: Saturation
% 11.49/2.39 % (1778163)Time elapsed: 0.110 s
% 11.49/2.39 % (1778163)Peak memory usage: 90 MB
% 11.49/2.39 % (1778163)Instructions burned: 127 (million)
% 11.49/2.39 % (1778164)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2632841696:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 11.49/2.39 % (1778164)Instruction limit reached!
% 11.49/2.39 % (1778164)------------------------------
% 11.49/2.39 % (1778164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778164)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778164)Termination reason: Instruction limit
% 11.49/2.39 % (1778164)Termination phase: Saturation
% 11.49/2.39 % (1778164)Time elapsed: 0.105 s
% 11.49/2.39 % (1778164)Peak memory usage: 90 MB
% 11.49/2.39 % (1778164)Instructions burned: 114 (million)
% 11.49/2.39 % (1778070)First to succeed.
% 11.49/2.39 % (1778070)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1777992"
% 11.49/2.39 % (1778170)lrs+10_1_sil=8000:sp=occurrence:random_seed=1967899985:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 11.49/2.39 % (1778170)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778170)------------------------------
% 11.49/2.39 % (1778170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778170)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778170)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778170)Time elapsed: 0.005 s
% 11.49/2.39 % (1778170)Peak memory usage: 88 MB
% 11.49/2.39 % (1778170)Instructions burned: 2 (million)
% 11.49/2.39 % (1778175)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2225703203:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 11.49/2.39 % (1778175)Refutation not found, incomplete strategy
% 11.49/2.39 % (1778175)------------------------------
% 11.49/2.39 % (1778175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.49/2.39 % (1778175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.49/2.39 % (1778175)CaDiCaL version: 2.1.3
% 11.49/2.39 % (1778175)Termination reason: Refutation not found, incomplete strategy
% 11.49/2.39 % (1778175)Time elapsed: 0.068 s
% 11.49/2.39 % (1778175)Peak memory usage: 90 MB
% 11.49/2.39 % (1778175)Instructions burned: 73 (million)
% 11.49/2.39 % (1778070)Refutation found. Thanks to Tanya!
% 11.49/2.39 % SZS status Theorem for theBenchmark
% 11.49/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 12.59/2.66 % (1778070)------------------------------
% 12.59/2.66 % (1778070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.59/2.66 % (1778070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.59/2.66 % (1778070)CaDiCaL version: 2.1.3
% 12.59/2.66 % (1778070)Termination reason: Refutation
% 12.59/2.66 % (1778070)Time elapsed: 1.304 s
% 12.59/2.66 % (1778070)Peak memory usage: 142 MB
% 12.59/2.66 % (1778070)Instructions burned: 1972 (million)
% 12.59/2.66 % (1778070)------------------------------
% 12.59/2.66 % (1778070)------------------------------
% 12.59/2.66 % (1777992)Success in time 1.74 s
% 12.59/2.66 % Vampire exiting
%------------------------------------------------------------------------------