%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM697+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 : n014.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 12:16:33 PM UTC 2026
% Result : Theorem 26.15s 4.54s
% Output : Refutation 26.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 150 ( 44 unt; 6 def)
% Number of atoms : 376 ( 71 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 366 ( 140 ~; 185 |; 21 &)
% ( 14 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 19 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 139 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) ).
fof(f18,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(f19,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(f35,axiom,
! [X0] : scratc456915712d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__pl) ).
fof(f53,axiom,
scratc456456526d_n_is = scratc937796165d_e_is(scratc47587735nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f100,axiom,
! [X0] : scratc937796165d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc100680811_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_br)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz25) ).
fof(f219,axiom,
pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ir)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz4e) ).
fof(f301,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__7) ).
fof(f378,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
<=> pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__84) ).
fof(f379,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__85) ).
fof(f399,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__105) ).
fof(f400,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__106) ).
fof(f568,axiom,
pp(fTrue),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(f572,axiom,
! [X0] :
( gg_bool(X0)
=> ( X0 = fTrue
| X0 = fFalse ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(f573,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f579,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(f583,conjecture,
pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f584,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f583]) ).
fof(f585,plain,
~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f584]) ).
fof(f602,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc100680811_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f603,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc100680811_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f602]) ).
fof(f666,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) ),
inference(ennf_transformation,[],[f399]) ).
fof(f667,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) ),
inference(ennf_transformation,[],[f400]) ).
fof(f753,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(ennf_transformation,[],[f572]) ).
fof(f754,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(flattening,[],[f753]) ).
fof(f755,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,[],[f579]) ).
fof(f756,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,[],[f755]) ).
fof(f824,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc100680811_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc100680811_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f603]) ).
fof(f825,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc100680811_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc100680811_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ) ),
inference(rectify,[],[f824]) ).
fof(f826,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc100680811_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc100680811_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f825]) ).
fof(f852,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0)) ) ),
inference(nnf_transformation,[],[f301]) ).
fof(f929,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
| ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ) ),
inference(nnf_transformation,[],[f378]) ).
fof(f930,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f379]) ).
fof(f955,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
inference(nnf_transformation,[],[f666]) ).
fof(f956,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
inference(flattening,[],[f955]) ).
fof(f957,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f667]) ).
fof(f958,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f957]) ).
fof(f1194,plain,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f1195,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f1196,plain,
! [X0,X1] : gg_bool(aa_fun171081125l_bool(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f1222,plain,
! [X0] : scratc456915712d_n_pl(X0) = aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f1248,plain,
scratc456456526d_n_is = scratc937796165d_e_is(scratc47587735nd_nat),
inference(cnf_transformation,[],[f53]) ).
fof(f1312,plain,
! [X0] : scratc937796165d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f100]) ).
fof(f1396,plain,
! [X3,X0,X1] :
( ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| ~ scratc100680811_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| pp(aa_TPTP_ind_bool(X1,X3)) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1397,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1398,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1))
| scratc100680811_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1399,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ),
inference(cnf_transformation,[],[f826]) ).
fof(f1402,plain,
pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_br)),
inference(cnf_transformation,[],[f149]) ).
fof(f1472,plain,
pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ir)),
inference(cnf_transformation,[],[f219]) ).
fof(f1590,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0)) ),
inference(cnf_transformation,[],[f852]) ).
fof(f1744,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ),
inference(cnf_transformation,[],[f929]) ).
fof(f1747,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f930]) ).
fof(f1789,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc456915712d_n_pl(X0),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ),
inference(cnf_transformation,[],[f956]) ).
fof(f1793,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f1794,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f958]) ).
fof(f2205,plain,
pp(fTrue),
inference(cnf_transformation,[],[f568]) ).
fof(f2209,plain,
! [X0] :
( ~ gg_bool(X0)
| fFalse = X0
| fTrue = X0 ),
inference(cnf_transformation,[],[f754]) ).
fof(f2210,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f573]) ).
fof(f2216,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,[],[f756]) ).
fof(f2220,plain,
~ pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f585]) ).
fof(f2245,plain,
scratc456456526d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1248,f1312]) ).
fof(f2284,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0)) ),
inference(definition_unfolding,[],[f1590,f1222]) ).
fof(f2296,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ),
inference(definition_unfolding,[],[f1789,f1222]) ).
fof(f2427,definition,
sF25 = scratc1561761582all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f2428,plain,
scratc1561761582all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f2427]) ).
fof(f2429,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f2430,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f2429]) ).
fof(f2431,plain,
~ pp(sF26),
inference(definition_folding,[],[f2220,f2430,f2428]) ).
fof(f2467,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,X0))
| gg_TPTP_ind(sK12(aTP_Lamm_a,X0)) ),
inference(superposition,[],[f1397,f2428]) ).
fof(f2468,plain,
! [X0] :
( scratc100680811_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)),aTP_Lamm_a)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f1398,f1747]) ).
fof(f2469,plain,
! [X0] :
( scratc100680811_is_of(sK12(aTP_Lamm_a,X0),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(sF25,X0)) ),
inference(superposition,[],[f1398,f2428]) ).
fof(f2471,plain,
( pp(sF26)
| gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
inference(superposition,[],[f2467,f2430]) ).
fof(f2472,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)),
inference(forward_subsumption_resolution,[],[f2471,f2431]) ).
fof(f2473,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc456456526d_n_is,X0),X1))
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(superposition,[],[f2216,f2245]) ).
fof(f2497,plain,
! [X0,X1] :
( aa_fun171081125l_bool(X0,X1) = fTrue
| aa_fun171081125l_bool(X0,X1) = fFalse ),
inference(resolution,[],[f2209,f1196]) ).
fof(f2516,plain,
! [X2,X0,X1] :
( ~ pp(fTrue)
| ~ scratc100680811_is_of(X2,X0)
| ~ gg_TPTP_ind(X2)
| pp(aa_TPTP_ind_bool(X1,X2))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(X0),X1) ),
inference(superposition,[],[f1396,f2497]) ).
fof(f2537,plain,
! [X2,X0,X1] :
( ~ scratc100680811_is_of(X2,X0)
| ~ gg_TPTP_ind(X2)
| pp(aa_TPTP_ind_bool(X1,X2))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(X0),X1) ),
inference(forward_subsumption_resolution,[],[f2516,f2205]) ).
fof(f2560,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0))
| aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)) ),
inference(resolution,[],[f2284,f2473]) ).
fof(f2561,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0))
| aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)) ),
inference(forward_subsumption_resolution,[],[f2560,f1195]) ).
fof(f2562,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ir,X0))
| aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1) ),
inference(forward_subsumption_resolution,[],[f2561,f1195]) ).
fof(f2565,definition,
( spl27_7
<=> fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_ir) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f2566,plain,
( fFalse != aa_fun171081125l_bool(sF25,aTP_Lamm_ir)
| spl27_7 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f2567,plain,
( fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_ir)
| ~ spl27_7 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f2611,plain,
! [X0,X1] :
( aa_TPTP_ind_bool(X0,X1) = fTrue
| aa_TPTP_ind_bool(X0,X1) = fFalse ),
inference(resolution,[],[f1194,f2209]) ).
fof(f2769,plain,
! [X0,X1] :
( ~ pp(fTrue)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(superposition,[],[f1399,f2611]) ).
fof(f2797,plain,
! [X0] :
( ~ pp(fTrue)
| aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X0) ),
inference(superposition,[],[f2562,f2611]) ).
fof(f2801,plain,
! [X0] :
( aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc995320569bnd_ap,aa_TPTP_ind_TPTP_ind(scratc918720740d_plus,X0)),scratc1396187181nd_n_1)
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X0) ),
inference(forward_subsumption_resolution,[],[f2797,f2205]) ).
fof(f2809,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1561761582all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f2769,f2205]) ).
fof(f2814,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,X0)) ),
inference(superposition,[],[f2809,f2428]) ).
fof(f2816,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1173366569moreis,X1),aa_TPTP_ind_TPTP_ind(scratc644387513rdsucc,X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X0) ),
inference(superposition,[],[f2296,f2801]) ).
fof(f2824,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc247555713_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X1),X0))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X1)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(resolution,[],[f2816,f1794]) ).
fof(f2827,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X1),X0))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X1)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0)) ),
inference(forward_subsumption_resolution,[],[f2824,f1793]) ).
fof(f2886,definition,
( spl27_14
<=> fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f2887,plain,
( fFalse != aa_TPTP_ind_bool(aTP_Lamm_ir,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl27_14 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2888,plain,
( fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f2886]) ).
fof(f2934,plain,
( pp(sF26)
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
inference(superposition,[],[f2814,f2430]) ).
fof(f2938,plain,
fFalse = aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)),
inference(forward_subsumption_resolution,[],[f2934,f2431]) ).
fof(f3377,plain,
! [X2,X0,X1] :
( ~ gg_TPTP_ind(sK12(X0,X1))
| pp(aa_TPTP_ind_bool(X2,sK12(X0,X1)))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(X0),X2)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ),
inference(resolution,[],[f2537,f1398]) ).
fof(f3395,plain,
! [X2,X0,X1] :
( pp(aa_TPTP_ind_bool(X2,sK12(X0,X1)))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(X0),X2)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),X1)) ),
inference(forward_subsumption_resolution,[],[f3377,f1397]) ).
fof(f3790,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_br)),
inference(superposition,[],[f1402,f2428]) ).
fof(f4041,definition,
( spl27_40
<=> scratc100680811_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl27_40])],[avatar_definition]) ).
fof(f4042,plain,
( scratc100680811_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl27_40 ),
inference(avatar_component_clause,[],[f4041]) ).
fof(f4043,plain,
( ~ scratc100680811_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl27_40 ),
inference(avatar_component_clause,[],[f4041]) ).
fof(f4186,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| spl27_40 ),
inference(resolution,[],[f4043,f2469]) ).
fof(f4187,plain,
( pp(sF26)
| spl27_40 ),
inference(forward_demodulation,[],[f4186,f2430]) ).
fof(f4188,plain,
( $false
| spl27_40 ),
inference(forward_subsumption_resolution,[],[f4187,f2431]) ).
fof(f4189,plain,
spl27_40,
inference(avatar_contradiction_clause,[],[f4188]) ).
fof(f4191,plain,
( ! [X0] :
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),X0) )
| ~ spl27_40 ),
inference(resolution,[],[f4042,f2537]) ).
fof(f4195,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),X0) )
| ~ spl27_40 ),
inference(forward_subsumption_resolution,[],[f4191,f2472]) ).
fof(f4197,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| fFalse = aa_fun171081125l_bool(sF25,X0) )
| ~ spl27_40 ),
inference(forward_demodulation,[],[f4195,f2428]) ).
fof(f5086,plain,
( pp(fFalse)
| fFalse = aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ir)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_14 ),
inference(superposition,[],[f3395,f2888]) ).
fof(f5091,plain,
( fFalse = aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ir)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_14 ),
inference(forward_subsumption_resolution,[],[f5086,f2210]) ).
fof(f5092,plain,
( fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_ir)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_14 ),
inference(forward_demodulation,[],[f5091,f2428]) ).
fof(f6194,plain,
( pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl27_7
| ~ spl27_14 ),
inference(forward_subsumption_resolution,[],[f5092,f2566]) ).
fof(f6208,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| spl27_7
| ~ spl27_14 ),
inference(forward_demodulation,[],[f6194,f2428]) ).
fof(f6217,plain,
( pp(sF26)
| spl27_7
| ~ spl27_14 ),
inference(forward_demodulation,[],[f6208,f2430]) ).
fof(f6232,plain,
( $false
| spl27_7
| ~ spl27_14 ),
inference(forward_subsumption_resolution,[],[f6217,f2431]) ).
fof(f6233,plain,
( spl27_7
| ~ spl27_14 ),
inference(avatar_contradiction_clause,[],[f6232]) ).
fof(f12096,plain,
pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ir)),
inference(superposition,[],[f1472,f2428]) ).
fof(f12098,plain,
( pp(fFalse)
| ~ spl27_7 ),
inference(forward_demodulation,[],[f12096,f2567]) ).
fof(f12100,plain,
( $false
| ~ spl27_7 ),
inference(forward_subsumption_resolution,[],[f12098,f2210]) ).
fof(f12101,plain,
~ spl27_7,
inference(avatar_contradiction_clause,[],[f12100]) ).
fof(f23089,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| ~ scratc100680811_is_of(X1,aTP_Lamm_a)
| ~ gg_TPTP_ind(X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ),
inference(resolution,[],[f1744,f1396]) ).
fof(f23094,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X1),X0))
| ~ gg_TPTP_ind(X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X1))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X1)
| ~ scratc100680811_is_of(X0,aTP_Lamm_a) ),
inference(resolution,[],[f23089,f2827]) ).
fof(f23123,plain,
! [X0,X1] :
( ~ gg_TPTP_ind(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X1))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X1)
| ~ scratc100680811_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(resolution,[],[f23094,f1399]) ).
fof(f23130,plain,
! [X0,X1] :
( ~ scratc100680811_is_of(sK12(X0,aa_TPT43085870d_bool(aTP_Lamm_aa,X1)),aTP_Lamm_a)
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X1))
| pp(aa_fun171081125l_bool(scratc1561761582all_of(X0),aa_TPT43085870d_bool(aTP_Lamm_aa,X1))) ),
inference(forward_subsumption_resolution,[],[f23123,f1397]) ).
fof(f23134,plain,
! [X0] :
( fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X0)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
| pp(aa_fun171081125l_bool(scratc1561761582all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f23130,f2468]) ).
fof(f23139,plain,
! [X0] :
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
| fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,X0)
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(forward_subsumption_resolution,[],[f23134,f1747]) ).
fof(f23155,plain,
( fFalse = aa_TPTP_ind_bool(aTP_Lamm_ir,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br)
| ~ spl27_40 ),
inference(resolution,[],[f23139,f4197]) ).
fof(f23161,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br)
| spl27_14
| ~ spl27_40 ),
inference(forward_subsumption_resolution,[],[f23155,f2887]) ).
fof(f23163,definition,
( spl27_585
<=> fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br) ),
introduced(definition,[new_symbols(definition,[spl27_585])],[avatar_definition]) ).
fof(f23165,plain,
( fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br)
| ~ spl27_585 ),
inference(avatar_component_clause,[],[f23163]) ).
fof(f23208,plain,
( pp(fFalse)
| fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br)
| spl27_14
| ~ spl27_40 ),
inference(forward_demodulation,[],[f23161,f2938]) ).
fof(f23213,plain,
( fFalse = aa_fun171081125l_bool(sF25,aTP_Lamm_br)
| spl27_14
| ~ spl27_40 ),
inference(forward_subsumption_resolution,[],[f23208,f2210]) ).
fof(f23218,plain,
( spl27_585
| spl27_14
| ~ spl27_40 ),
inference(avatar_split_clause,[],[f23213,f4041,f2886,f23163]) ).
fof(f23238,plain,
( pp(fFalse)
| ~ spl27_585 ),
inference(superposition,[],[f3790,f23165]) ).
fof(f23279,plain,
( $false
| ~ spl27_585 ),
inference(forward_subsumption_resolution,[],[f23238,f2210]) ).
fof(f23280,plain,
~ spl27_585,
inference(avatar_contradiction_clause,[],[f23279]) ).
cnf(s38,plain,
spl27_40,
inference(sat_conversion,[],[f4189]) ).
cnf(s129,plain,
( spl27_7
| ~ spl27_14 ),
inference(sat_conversion,[],[f6233]) ).
cnf(s376,plain,
~ spl27_7,
inference(sat_conversion,[],[f12101]) ).
cnf(s698,plain,
( spl27_14
| ~ spl27_40
| spl27_585 ),
inference(sat_conversion,[],[f23218]) ).
cnf(s701,plain,
~ spl27_585,
inference(sat_conversion,[],[f23280]) ).
cnf(s709,plain,
( spl27_14
| ~ spl27_40 ),
inference(rat,[],[s698,s701]) ).
cnf(s731,plain,
~ spl27_14,
inference(rat,[],[s129,s376]) ).
cnf(s732,plain,
~ spl27_40,
inference(rat,[],[s709,s731]) ).
cnf(s747,plain,
$false,
inference(rat,[],[s38,s732]) ).
fof(f23304,plain,
$false,
inference(avatar_sat_refutation,[],[s747]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM697+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 21:07:32 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.38/2.31 % (1168463)Detected formulas, will run a generic FOF schedule.
% 10.38/2.31 % (1168489)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=3187707522:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.38/2.31 % (1168488)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=3091019206:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.38/2.31 % (1168490)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=1902142543:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.38/2.31 % (1168492)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1180646428:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.38/2.31 % (1168491)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1555969237:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.38/2.31 % (1168491)Refutation not found, incomplete strategy
% 10.38/2.31 % (1168491)------------------------------
% 10.38/2.31 % (1168491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.31 % (1168491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.31 % (1168491)CaDiCaL version: 2.1.3
% 10.38/2.31 % (1168491)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.31 % (1168491)Time elapsed: 0.002 s
% 10.38/2.31 % (1168491)Peak memory usage: 88 MB
% 10.38/2.31 % (1168491)Instructions burned: 2 (million)
% 10.38/2.31 % (1168494)dis-21_1_sil=8000:lcm=predicate:random_seed=2714626910:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 10.38/2.31 % (1168493)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2462771479:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.38/2.31 % (1168492)Refutation not found, incomplete strategy
% 10.38/2.31 % (1168492)------------------------------
% 10.38/2.31 % (1168492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.31 % (1168492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.31 % (1168492)CaDiCaL version: 2.1.3
% 10.38/2.31 % (1168492)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.31 % (1168492)Time elapsed: 0.003 s
% 10.38/2.31 % (1168492)Peak memory usage: 88 MB
% 10.38/2.31 % (1168492)Instructions burned: 3 (million)
% 10.38/2.31 % (1168494)Instruction limit reached!
% 10.38/2.31 % (1168494)------------------------------
% 10.38/2.31 % (1168494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.31 % (1168494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.31 % (1168494)CaDiCaL version: 2.1.3
% 10.38/2.31 % (1168494)Termination reason: Instruction limit
% 10.38/2.31 % (1168494)Termination phase: Saturation
% 10.38/2.31 % (1168494)Time elapsed: 0.071 s
% 10.38/2.31 % (1168494)Peak memory usage: 90 MB
% 10.38/2.31 % (1168494)Instructions burned: 130 (million)
% 10.38/2.31 % (1168493)Instruction limit reached!
% 10.38/2.31 % (1168493)------------------------------
% 10.38/2.31 % (1168493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.31 % (1168493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.31 % (1168493)CaDiCaL version: 2.1.3
% 10.38/2.31 % (1168493)Termination reason: Instruction limit
% 10.38/2.31 % (1168493)Termination phase: Saturation
% 10.38/2.31 % (1168493)Time elapsed: 0.083 s
% 10.38/2.31 % (1168493)Peak memory usage: 90 MB
% 10.38/2.31 % (1168493)Instructions burned: 140 (million)
% 10.38/2.31 % (1168502)lrs+10_1_sil=8000:sp=occurrence:random_seed=668504511:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.38/2.31 % (1168502)Refutation not found, incomplete strategy
% 10.38/2.31 % (1168502)------------------------------
% 10.38/2.31 % (1168502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.38/2.31 % (1168502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.38/2.31 % (1168502)CaDiCaL version: 2.1.3
% 10.38/2.31 % (1168502)Termination reason: Refutation not found, incomplete strategy
% 10.38/2.31 % (1168502)Time elapsed: 0.003 s
% 10.38/2.31 % (1168502)Peak memory usage: 88 MB
% 10.38/2.31 % (1168502)Instructions burned: 2 (million)
% 10.38/2.31 % (1168503)lrs+10_1_sil=32000:urr=on:br=off:random_seed=53792912:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 16.88/3.24 % (1168503)Refutation not found, incomplete strategy
% 16.88/3.24 % (1168503)------------------------------
% 16.88/3.24 % (1168503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.24 % (1168503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.24 % (1168503)CaDiCaL version: 2.1.3
% 16.88/3.24 % (1168503)Termination reason: Refutation not found, incomplete strategy
% 16.88/3.24 % (1168503)Time elapsed: 0.005 s
% 16.88/3.24 % (1168503)Peak memory usage: 88 MB
% 16.88/3.24 % (1168503)Instructions burned: 9 (million)
% 16.88/3.24 % (1168491)------------------------------
% 16.88/3.24 % (1168491)------------------------------
% 16.88/3.24 % (1168492)------------------------------
% 16.88/3.24 % (1168492)------------------------------
% 16.88/3.24 % (1168506)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1623174340:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.88/3.24 % (1168506)Refutation not found, incomplete strategy
% 16.88/3.24 % (1168506)------------------------------
% 16.88/3.24 % (1168506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.24 % (1168506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.24 % (1168506)CaDiCaL version: 2.1.3
% 16.88/3.24 % (1168506)Termination reason: Refutation not found, incomplete strategy
% 16.88/3.24 % (1168506)Time elapsed: 0.003 s
% 16.88/3.24 % (1168506)Peak memory usage: 89 MB
% 16.88/3.24 % (1168506)Instructions burned: 5 (million)
% 16.88/3.24 % (1168507)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=3600885991:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 16.88/3.24 % (1168502)------------------------------
% 16.88/3.24 % (1168502)------------------------------
% 16.88/3.24 % (1168503)------------------------------
% 16.88/3.24 % (1168503)------------------------------
% 16.88/3.24 % (1168506)------------------------------
% 16.88/3.24 % (1168506)------------------------------
% 16.88/3.24 % (1168507)Instruction limit reached!
% 16.88/3.24 % (1168507)------------------------------
% 16.88/3.24 % (1168507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.24 % (1168507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.24 % (1168507)CaDiCaL version: 2.1.3
% 16.88/3.24 % (1168507)Termination reason: Instruction limit
% 16.88/3.24 % (1168507)Termination phase: Saturation
% 16.88/3.24 % (1168507)Time elapsed: 0.127 s
% 16.88/3.24 % (1168507)Peak memory usage: 96 MB
% 16.88/3.24 % (1168507)Instructions burned: 249 (million)
% 16.88/3.24 % (1168510)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1011043987:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.88/3.24 % (1168510)Refutation not found, incomplete strategy
% 16.88/3.24 % (1168510)------------------------------
% 16.88/3.24 % (1168510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.24 % (1168510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.24 % (1168510)CaDiCaL version: 2.1.3
% 16.88/3.24 % (1168510)Termination reason: Refutation not found, incomplete strategy
% 16.88/3.24 % (1168510)Time elapsed: 0.005 s
% 16.88/3.24 % (1168510)Peak memory usage: 89 MB
% 16.88/3.24 % (1168510)Instructions burned: 7 (million)
% 16.88/3.24 % (1168512)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=458513210:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 16.88/3.24 % (1168511)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2245386374:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.88/3.24 % (1168512)Instruction limit reached!
% 16.88/3.24 % (1168512)------------------------------
% 16.88/3.24 % (1168512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.88/3.24 % (1168512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.88/3.24 % (1168512)CaDiCaL version: 2.1.3
% 16.88/3.24 % (1168512)Termination reason: Instruction limit
% 16.88/3.24 % (1168512)Termination phase: Saturation
% 16.88/3.24 % (1168512)Time elapsed: 0.033 s
% 16.88/3.24 % (1168512)Peak memory usage: 91 MB
% 16.88/3.24 % (1168512)Instructions burned: 116 (million)
% 16.88/3.24 % (1168513)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=158343490:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 26.15/4.54 % (1168517)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3498154726:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 26.15/4.54 % (1168513)Instruction limit reached!
% 26.15/4.54 % (1168513)------------------------------
% 26.15/4.54 % (1168513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168513)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168513)Termination reason: Instruction limit
% 26.15/4.54 % (1168513)Termination phase: Saturation
% 26.15/4.54 % (1168513)Time elapsed: 0.062 s
% 26.15/4.54 % (1168513)Peak memory usage: 89 MB
% 26.15/4.54 % (1168513)Instructions burned: 129 (million)
% 26.15/4.54 % (1168517)Instruction limit reached!
% 26.15/4.54 % (1168517)------------------------------
% 26.15/4.54 % (1168517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168517)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168517)Termination reason: Instruction limit
% 26.15/4.54 % (1168517)Termination phase: Saturation
% 26.15/4.54 % (1168517)Time elapsed: 0.033 s
% 26.15/4.54 % (1168517)Peak memory usage: 90 MB
% 26.15/4.54 % (1168517)Instructions burned: 116 (million)
% 26.15/4.54 % (1168510)------------------------------
% 26.15/4.54 % (1168510)------------------------------
% 26.15/4.54 % (1168521)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=321971747:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 26.15/4.54 % (1168521)Refutation not found, incomplete strategy
% 26.15/4.54 % (1168521)------------------------------
% 26.15/4.54 % (1168521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168521)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168521)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.54 % (1168521)Time elapsed: 0.023 s
% 26.15/4.54 % (1168521)Peak memory usage: 90 MB
% 26.15/4.54 % (1168521)Instructions burned: 82 (million)
% 26.15/4.54 % (1168520)lrs+10_1_sil=8000:sp=occurrence:random_seed=3917690786:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 26.15/4.54 % (1168522)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=610917186:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 26.15/4.54 % (1168521)------------------------------
% 26.15/4.54 % (1168521)------------------------------
% 26.15/4.54 % (1168526)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1586844791:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 26.15/4.54 % (1168526)Instruction limit reached!
% 26.15/4.54 % (1168526)------------------------------
% 26.15/4.54 % (1168526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168526)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168526)Termination reason: Instruction limit
% 26.15/4.54 % (1168526)Termination phase: Saturation
% 26.15/4.54 % (1168526)Time elapsed: 0.040 s
% 26.15/4.54 % (1168526)Peak memory usage: 94 MB
% 26.15/4.54 % (1168526)Instructions burned: 140 (million)
% 26.15/4.54 % (1168520)Instruction limit reached!
% 26.15/4.54 % (1168520)------------------------------
% 26.15/4.54 % (1168520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168520)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168520)Termination reason: Instruction limit
% 26.15/4.54 % (1168520)Termination phase: Saturation
% 26.15/4.54 % (1168520)Time elapsed: 0.356 s
% 26.15/4.54 % (1168520)Peak memory usage: 90 MB
% 26.15/4.54 % (1168520)Instructions burned: 907 (million)
% 26.15/4.54 % (1168528)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3262624013:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 26.15/4.54 % (1168528)Refutation not found, incomplete strategy
% 26.15/4.54 % (1168528)------------------------------
% 26.15/4.54 % (1168528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168528)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168528)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.54 % (1168528)Time elapsed: 0.015 s
% 26.15/4.54 % (1168528)Peak memory usage: 89 MB
% 26.15/4.54 % (1168528)Instructions burned: 26 (million)
% 26.15/4.54 % (1168529)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1921620056:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 26.15/4.54 % (1168528)------------------------------
% 26.15/4.54 % (1168528)------------------------------
% 26.15/4.54 % (1168532)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=154108970:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 26.15/4.54 % (1168532)Refutation not found, incomplete strategy
% 26.15/4.54 % (1168532)------------------------------
% 26.15/4.54 % (1168532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168532)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168532)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.54 % (1168532)Time elapsed: 0.007 s
% 26.15/4.54 % (1168532)Peak memory usage: 89 MB
% 26.15/4.54 % (1168532)Instructions burned: 12 (million)
% 26.15/4.54 % (1168511)Instruction limit reached!
% 26.15/4.54 % (1168511)------------------------------
% 26.15/4.54 % (1168511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168511)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168511)Termination reason: Instruction limit
% 26.15/4.54 % (1168511)Termination phase: Saturation
% 26.15/4.54 % (1168511)Time elapsed: 1.154 s
% 26.15/4.54 % (1168511)Peak memory usage: 142 MB
% 26.15/4.54 % (1168511)Instructions burned: 2350 (million)
% 26.15/4.54 % (1168534)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2097727082:i=134:gtgl=5:slsql=off:gtg=exists_sym_2980 on theBenchmark for (2980ds/134Mi)
% 26.15/4.54 % (1168534)Instruction limit reached!
% 26.15/4.54 % (1168534)------------------------------
% 26.15/4.54 % (1168534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168534)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168534)Termination reason: Instruction limit
% 26.15/4.54 % (1168534)Termination phase: Saturation
% 26.15/4.54 % (1168534)Time elapsed: 0.035 s
% 26.15/4.54 % (1168534)Peak memory usage: 92 MB
% 26.15/4.54 % (1168534)Instructions burned: 135 (million)
% 26.15/4.54 % (1168532)------------------------------
% 26.15/4.54 % (1168532)------------------------------
% 26.15/4.54 % (1168536)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=4155996490:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/141Mi)
% 26.15/4.54 % (1168536)Refutation not found, incomplete strategy
% 26.15/4.54 % (1168536)------------------------------
% 26.15/4.54 % (1168536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168536)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168536)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.54 % (1168536)Time elapsed: 0.001 s
% 26.15/4.54 % (1168536)Peak memory usage: 88 MB
% 26.15/4.54 % (1168536)Instructions burned: 2 (million)
% 26.15/4.54 % (1168539)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2390669708:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2979 on theBenchmark for (2979ds/431Mi)
% 26.15/4.54 % (1168539)Refutation not found, incomplete strategy
% 26.15/4.54 % (1168539)------------------------------
% 26.15/4.54 % (1168539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168539)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168539)Termination reason: Refutation not found, incomplete strategy
% 26.15/4.54 % (1168539)Time elapsed: 0.003 s
% 26.15/4.54 % (1168539)Peak memory usage: 89 MB
% 26.15/4.54 % (1168539)Instructions burned: 2 (million)
% 26.15/4.54 % (1168536)------------------------------
% 26.15/4.54 % (1168536)------------------------------
% 26.15/4.54 % (1168542)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=744610129:i=6060:aac=none:ins=25_2977 on theBenchmark for (2977ds/6060Mi)
% 26.15/4.54 % (1168539)------------------------------
% 26.15/4.54 % (1168539)------------------------------
% 26.15/4.54 % (1168544)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=1937298489:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2975 on theBenchmark for (2975ds/150Mi)
% 26.15/4.54 % (1168544)Instruction limit reached!
% 26.15/4.54 % (1168544)------------------------------
% 26.15/4.54 % (1168544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.15/4.54 % (1168544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.15/4.54 % (1168544)CaDiCaL version: 2.1.3
% 26.15/4.54 % (1168544)Termination reason: Instruction limit
% 26.15/4.54 % (1168544)Termination phase: Saturation
% 26.15/4.54 % (1168544)Time elapsed: 0.077 s
% 26.15/4.54 % (1168544)Peak memory usage: 91 MB
% 26.15/4.54 % (1168544)Instructions burned: 152 (million)
% 26.15/4.54 % (1168546)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2635207233:i=14155:bd=all_2973 on theBenchmark for (2973ds/14155Mi)
% 26.15/4.54 % (1168488)First to succeed.
% 26.15/4.54 % (1168488)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1168463"
% 26.15/4.54 % (1168488)Refutation found. Thanks to Tanya!
% 26.15/4.54 % SZS status Theorem for theBenchmark
% 26.15/4.54 % SZS output start Proof for theBenchmark
% See solution above
% 26.64/4.73 % (1168488)------------------------------
% 26.64/4.73 % (1168488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.64/4.73 % (1168488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.64/4.73 % (1168488)CaDiCaL version: 2.1.3
% 26.64/4.73 % (1168488)Termination reason: Refutation
% 26.64/4.73 % (1168488)Time elapsed: 3.271 s
% 26.64/4.73 % (1168488)Peak memory usage: 165 MB
% 26.64/4.73 % (1168488)Instructions burned: 4999 (million)
% 26.64/4.73 % (1168488)------------------------------
% 26.64/4.73 % (1168488)------------------------------
% 26.64/4.73 % (1168463)Success in time 3.693 s
% 26.64/4.73 % Vampire exiting
%------------------------------------------------------------------------------