%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM657+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:15 PM UTC 2026
% Result : Theorem 10.47s 2.36s
% Output : Refutation 11.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 35
% Syntax : Number of formulae : 187 ( 33 unt; 18 def)
% Number of atoms : 449 ( 2 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 447 ( 185 ~; 197 |; 27 &)
% ( 33 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 23 ( 21 usr; 19 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__iii) ).
fof(f29,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
<=> pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__29__ii) ).
fof(f115,axiom,
! [X0] :
( pp(scratc864062968_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc438703235nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f116,axiom,
scratc438703235nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f147,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1769142186_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f149,axiom,
pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_br)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz10g) ).
fof(f155,axiom,
pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_cd)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz13) ).
fof(f282,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
<=> pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__34) ).
fof(f288,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
<=> pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__40) ).
fof(f289,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__41) ).
fof(f310,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__62) ).
fof(f313,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
=> pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__65) ).
fof(f316,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1))
=> pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__68) ).
fof(f396,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f397,axiom,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_3_1_U) ).
fof(f399,axiom,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fimplies_1_1_U) ).
fof(f406,conjecture,
pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f407,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f406]) ).
fof(f408,plain,
~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f407]) ).
fof(f425,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1769142186_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f147]) ).
fof(f426,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1769142186_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f425]) ).
fof(f490,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)) ) ),
inference(ennf_transformation,[],[f310]) ).
fof(f493,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
<=> ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1)) ) ),
inference(ennf_transformation,[],[f313]) ).
fof(f496,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ) ),
inference(ennf_transformation,[],[f316]) ).
fof(f527,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X1),X0))) )
& ( pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f528,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X0),X1))) )
& ( pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1)) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f568,plain,
! [X0] :
( ( pp(scratc864062968_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc438703235nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc438703235nd_imp,X0),fFalse))
| ~ pp(scratc864062968_d_not(X0)) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f591,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1769142186_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1769142186_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f426]) ).
fof(f592,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1769142186_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1769142186_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1)) ) ),
inference(rectify,[],[f591]) ).
fof(f593,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1769142186_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1769142186_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f592]) ).
fof(f646,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0))) )
& ( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ) ),
inference(nnf_transformation,[],[f282]) ).
fof(f652,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0))) )
& ( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ) ),
inference(nnf_transformation,[],[f288]) ).
fof(f653,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f289]) ).
fof(f680,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ) ),
inference(nnf_transformation,[],[f490]) ).
fof(f681,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ) ),
inference(flattening,[],[f680]) ).
fof(f686,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| ( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1)) ) )
& ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
inference(nnf_transformation,[],[f493]) ).
fof(f687,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1))
| ( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1)) ) )
& ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ) ),
inference(flattening,[],[f686]) ).
fof(f692,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ) )
& ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f496]) ).
fof(f693,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ) )
& ( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f692]) ).
fof(f806,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X1),X0)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f527]) ).
fof(f809,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
| ~ pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(X0),X1))) ),
inference(cnf_transformation,[],[f528]) ).
fof(f930,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc438703235nd_imp,X0),fFalse))
| ~ pp(scratc864062968_d_not(X0)) ),
inference(cnf_transformation,[],[f568]) ).
fof(f931,plain,
! [X0] :
( pp(scratc864062968_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc438703235nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f568]) ).
fof(f932,plain,
scratc438703235nd_imp = fimplies,
inference(cnf_transformation,[],[f116]) ).
fof(f994,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1769142186_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1)) ),
inference(cnf_transformation,[],[f593]) ).
fof(f995,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f593]) ).
fof(f996,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| scratc1769142186_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f593]) ).
fof(f997,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f593]) ).
fof(f1000,plain,
pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_br)),
inference(cnf_transformation,[],[f149]) ).
fof(f1006,plain,
pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_cd)),
inference(cnf_transformation,[],[f155]) ).
fof(f1196,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_cd,X0)) ),
inference(cnf_transformation,[],[f646]) ).
fof(f1208,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_br,X0)) ),
inference(cnf_transformation,[],[f652]) ).
fof(f1211,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(cnf_transformation,[],[f653]) ).
fof(f1256,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X1),X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,X0),X1)) ),
inference(cnf_transformation,[],[f681]) ).
fof(f1265,plain,
! [X0,X1] :
( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,X0),X1)) ),
inference(cnf_transformation,[],[f687]) ).
fof(f1275,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,X0),X1)) ),
inference(cnf_transformation,[],[f693]) ).
fof(f1276,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,X0),X1))) ),
inference(cnf_transformation,[],[f693]) ).
fof(f1444,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f396]) ).
fof(f1445,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f397]) ).
fof(f1447,plain,
! [X0,X1] :
( pp(X0)
| pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1)) ),
inference(cnf_transformation,[],[f399]) ).
fof(f1454,plain,
~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f408]) ).
fof(f1506,plain,
! [X0] :
( pp(scratc864062968_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse)) ),
inference(definition_unfolding,[],[f931,f932]) ).
fof(f1507,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc864062968_d_not(X0)) ),
inference(definition_unfolding,[],[f930,f932]) ).
fof(f1610,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f1612,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_ab))
| spl29_1 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1613,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f1454,f1610]) ).
fof(f1614,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| spl29_1 ),
inference(resolution,[],[f1612,f995]) ).
fof(f1615,plain,
( scratc1769142186_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f1612,f996]) ).
fof(f1616,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_1 ),
inference(resolution,[],[f1612,f997]) ).
fof(f1629,definition,
( spl29_2
<=> scratc1769142186_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f1631,plain,
( scratc1769142186_is_of(sK12(aTP_Lamm_a,aTP_Lamm_ab),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1632,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f1615,f1610,f1629]) ).
fof(f1634,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f1636,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_3 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1637,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f1616,f1610,f1634]) ).
fof(f1638,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_3 ),
inference(resolution,[],[f1636,f1211]) ).
fof(f1676,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f1631,f994]) ).
fof(f1677,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| spl29_1
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f1676,f1614]) ).
fof(f1679,definition,
( spl29_4
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f1680,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f1679]) ).
fof(f1681,plain,
( spl29_4
| spl29_1
| ~ spl29_2 ),
inference(avatar_split_clause,[],[f1677,f1629,f1610,f1679]) ).
fof(f1927,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_cd))
| pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_4 ),
inference(resolution,[],[f1680,f1196]) ).
fof(f2005,plain,
( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f1927,f1006]) ).
fof(f2080,definition,
( spl29_6
<=> pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f2082,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2083,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f1638,f1634,f2080]) ).
fof(f2085,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl29_6 ),
inference(resolution,[],[f2082,f995]) ).
fof(f2086,plain,
( scratc1769142186_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| spl29_6 ),
inference(resolution,[],[f2082,f996]) ).
fof(f2087,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_6 ),
inference(resolution,[],[f2082,f997]) ).
fof(f2100,definition,
( spl29_7
<=> scratc1769142186_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f2102,plain,
( scratc1769142186_is_of(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))),aTP_Lamm_a)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2103,plain,
( spl29_7
| spl29_6 ),
inference(avatar_split_clause,[],[f2086,f2080,f2100]) ).
fof(f2105,definition,
( spl29_8
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_8])],[avatar_definition]) ).
fof(f2107,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_8 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f2108,plain,
( ~ spl29_8
| spl29_6 ),
inference(avatar_split_clause,[],[f2087,f2080,f2105]) ).
fof(f2109,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_8 ),
inference(resolution,[],[f2107,f1275]) ).
fof(f2110,plain,
( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_8 ),
inference(resolution,[],[f2107,f1276]) ).
fof(f2156,definition,
( spl29_9
<=> pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))) ),
introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).
fof(f2158,plain,
( ~ pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| spl29_9 ),
inference(avatar_component_clause,[],[f2156]) ).
fof(f2159,plain,
( ~ spl29_9
| spl29_8 ),
inference(avatar_split_clause,[],[f2110,f2105,f2156]) ).
fof(f2162,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_9 ),
inference(resolution,[],[f2158,f1506]) ).
fof(f2175,definition,
( spl29_10
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_10])],[avatar_definition]) ).
fof(f2177,plain,
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),fFalse))
| spl29_10 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2178,plain,
( ~ spl29_10
| spl29_9 ),
inference(avatar_split_clause,[],[f2162,f2156,f2175]) ).
fof(f2180,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_10 ),
inference(resolution,[],[f2177,f1447]) ).
fof(f2195,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| ~ spl29_7 ),
inference(resolution,[],[f2102,f994]) ).
fof(f2196,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| spl29_6
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f2195,f2085]) ).
fof(f2198,definition,
( spl29_11
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).
fof(f2199,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),X0)) )
| ~ spl29_11 ),
inference(avatar_component_clause,[],[f2198]) ).
fof(f2200,plain,
( spl29_11
| spl29_6
| ~ spl29_7 ),
inference(avatar_split_clause,[],[f2196,f2100,f2080,f2198]) ).
fof(f2441,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aTP_Lamm_br))
| pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_11 ),
inference(resolution,[],[f2199,f1208]) ).
fof(f2530,plain,
( pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_11 ),
inference(forward_subsumption_resolution,[],[f2441,f1000]) ).
fof(f2692,definition,
( spl29_14
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f2694,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc438440832nd_iii,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f2692]) ).
fof(f2695,plain,
( spl29_14
| spl29_8 ),
inference(avatar_split_clause,[],[f2109,f2105,f2692]) ).
fof(f2699,plain,
( pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_14 ),
inference(resolution,[],[f2694,f806]) ).
fof(f2733,definition,
( spl29_15
<=> pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition]) ).
fof(f2735,plain,
( pp(aa_fun171081125l_bool(scratc14898041n_some,aa_TPT43085870d_bool(scratc1671684401ffprop(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_15 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f2736,plain,
( spl29_15
| ~ spl29_14 ),
inference(avatar_split_clause,[],[f2699,f2692,f2733]) ).
fof(f2737,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_15 ),
inference(resolution,[],[f2735,f809]) ).
fof(f2749,definition,
( spl29_16
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_16])],[avatar_definition]) ).
fof(f2751,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc401756802_29_ii,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_16 ),
inference(avatar_component_clause,[],[f2749]) ).
fof(f2752,plain,
( spl29_16
| ~ spl29_15 ),
inference(avatar_split_clause,[],[f2737,f2733,f2749]) ).
fof(f2753,plain,
( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_16 ),
inference(resolution,[],[f2751,f1265]) ).
fof(f2936,definition,
( spl29_19
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_19])],[avatar_definition]) ).
fof(f2938,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_19 ),
inference(avatar_component_clause,[],[f2936]) ).
fof(f2940,definition,
( spl29_20
<=> pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl29_20])],[avatar_definition]) ).
fof(f2942,plain,
( pp(scratc864062968_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f2940]) ).
fof(f2943,plain,
( ~ spl29_19
| spl29_20
| ~ spl29_16 ),
inference(avatar_split_clause,[],[f2753,f2749,f2940,f2936]) ).
fof(f2952,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_bq,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))))
| ~ spl29_4
| spl29_19 ),
inference(resolution,[],[f2938,f1680]) ).
fof(f2991,plain,
( $false
| ~ spl29_4
| ~ spl29_11
| spl29_19 ),
inference(forward_subsumption_resolution,[],[f2952,f2530]) ).
fof(f2992,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_19 ),
inference(avatar_contradiction_clause,[],[f2991]) ).
fof(f2995,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_20 ),
inference(resolution,[],[f2942,f1507]) ).
fof(f3039,definition,
( spl29_21
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse)) ),
introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition]) ).
fof(f3041,plain,
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))),fFalse))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f3039]) ).
fof(f3042,plain,
( spl29_21
| ~ spl29_20 ),
inference(avatar_split_clause,[],[f2995,f2940,f3039]) ).
fof(f3044,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| pp(fFalse)
| ~ spl29_21 ),
inference(resolution,[],[f3041,f1445]) ).
fof(f3055,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl29_21 ),
inference(forward_subsumption_resolution,[],[f3044,f1444]) ).
fof(f3057,definition,
( spl29_22
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl29_22])],[avatar_definition]) ).
fof(f3059,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc560360684lessis,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl29_22 ),
inference(avatar_component_clause,[],[f3057]) ).
fof(f3060,plain,
( ~ spl29_22
| ~ spl29_21 ),
inference(avatar_split_clause,[],[f3055,f3039,f3057]) ).
fof(f3069,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc694344296moreis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_22 ),
inference(resolution,[],[f3059,f1256]) ).
fof(f3116,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_10
| spl29_22 ),
inference(forward_subsumption_resolution,[],[f3069,f2180]) ).
fof(f3118,definition,
( spl29_24
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition]) ).
fof(f3120,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))))
| spl29_24 ),
inference(avatar_component_clause,[],[f3118]) ).
fof(f3121,plain,
( ~ spl29_24
| spl29_10
| spl29_22 ),
inference(avatar_split_clause,[],[f3116,f3057,f2175,f3118]) ).
fof(f3130,plain,
( ~ pp(aa_fun171081125l_bool(scratc160412591all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_cc,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ spl29_11
| spl29_24 ),
inference(resolution,[],[f3120,f2199]) ).
fof(f3169,plain,
( $false
| ~ spl29_4
| ~ spl29_11
| spl29_24 ),
inference(forward_subsumption_resolution,[],[f3130,f2005]) ).
fof(f3170,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_24 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f1613]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s4,plain,
( spl29_1
| ~ spl29_2
| spl29_4 ),
inference(sat_conversion,[],[f1681]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f2083]) ).
cnf(s7,plain,
( spl29_6
| spl29_7 ),
inference(sat_conversion,[],[f2103]) ).
cnf(s8,plain,
( spl29_6
| ~ spl29_8 ),
inference(sat_conversion,[],[f2108]) ).
cnf(s9,plain,
( spl29_8
| ~ spl29_9 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s10,plain,
( spl29_9
| ~ spl29_10 ),
inference(sat_conversion,[],[f2178]) ).
cnf(s11,plain,
( spl29_6
| ~ spl29_7
| spl29_11 ),
inference(sat_conversion,[],[f2200]) ).
cnf(s14,plain,
( spl29_8
| spl29_14 ),
inference(sat_conversion,[],[f2695]) ).
cnf(s15,plain,
( ~ spl29_14
| spl29_15 ),
inference(sat_conversion,[],[f2736]) ).
cnf(s16,plain,
( ~ spl29_15
| spl29_16 ),
inference(sat_conversion,[],[f2752]) ).
cnf(s19,plain,
( ~ spl29_16
| ~ spl29_19
| spl29_20 ),
inference(sat_conversion,[],[f2943]) ).
cnf(s20,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_19 ),
inference(sat_conversion,[],[f2992]) ).
cnf(s21,plain,
( ~ spl29_20
| spl29_21 ),
inference(sat_conversion,[],[f3042]) ).
cnf(s22,plain,
( ~ spl29_21
| ~ spl29_22 ),
inference(sat_conversion,[],[f3060]) ).
cnf(s24,plain,
( spl29_10
| spl29_22
| ~ spl29_24 ),
inference(sat_conversion,[],[f3121]) ).
cnf(s25,plain,
( ~ spl29_4
| ~ spl29_11
| spl29_24 ),
inference(sat_conversion,[],[f3170]) ).
cnf(s27,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s28,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s31,plain,
~ spl29_6,
inference(rat,[],[s6,s27]) ).
cnf(s32,plain,
spl29_4,
inference(rat,[],[s4,s1,s28]) ).
cnf(s34,plain,
~ spl29_8,
inference(rat,[],[s8,s31]) ).
cnf(s35,plain,
spl29_7,
inference(rat,[],[s7,s31]) ).
cnf(s37,plain,
spl29_14,
inference(rat,[],[s14,s34]) ).
cnf(s39,plain,
~ spl29_9,
inference(rat,[],[s9,s34]) ).
cnf(s40,plain,
spl29_11,
inference(rat,[],[s11,s31,s35]) ).
cnf(s41,plain,
spl29_15,
inference(rat,[],[s15,s37]) ).
cnf(s42,plain,
~ spl29_10,
inference(rat,[],[s10,s39]) ).
cnf(s43,plain,
spl29_24,
inference(rat,[],[s25,s32,s40]) ).
cnf(s44,plain,
spl29_19,
inference(rat,[],[s20,s32,s40]) ).
cnf(s45,plain,
spl29_16,
inference(rat,[],[s16,s41]) ).
cnf(s46,plain,
spl29_22,
inference(rat,[],[s24,s43,s42]) ).
cnf(s47,plain,
spl29_20,
inference(rat,[],[s19,s44,s45]) ).
cnf(s48,plain,
~ spl29_21,
inference(rat,[],[s22,s46]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s21,s48,s47]) ).
fof(f3171,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM657+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 21:04:21 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 10.47/2.36 % (2985041)Detected formulas, will run a generic FOF schedule.
% 10.47/2.36 % (2985050)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2930602981:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.47/2.36 % (2985050)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985050)------------------------------
% 10.47/2.36 % (2985050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985050)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985050)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985050)Time elapsed: 0.002 s
% 10.47/2.36 % (2985050)Peak memory usage: 88 MB
% 10.47/2.36 % (2985050)Instructions burned: 2 (million)
% 10.47/2.36 % (2985048)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=1627497462:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.47/2.36 % (2985046)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=2450333778:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.47/2.36 % (2985049)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3243375285:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.47/2.36 % (2985047)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=3073765349:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.47/2.36 % (2985049)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985049)------------------------------
% 10.47/2.36 % (2985049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985049)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985049)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985049)Time elapsed: 0.002 s
% 10.47/2.36 % (2985049)Peak memory usage: 88 MB
% 10.47/2.36 % (2985049)Instructions burned: 1 (million)
% 10.47/2.36 % (2985052)dis-21_1_sil=8000:lcm=predicate:random_seed=782224979: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)
% 10.47/2.36 % (2985051)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2177334257:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.47/2.36 % (2985052)Instruction limit reached!
% 10.47/2.36 % (2985052)------------------------------
% 10.47/2.36 % (2985052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985052)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985052)Termination reason: Instruction limit
% 10.47/2.36 % (2985052)Termination phase: Saturation
% 10.47/2.36 % (2985052)Time elapsed: 0.078 s
% 10.47/2.36 % (2985052)Peak memory usage: 90 MB
% 10.47/2.36 % (2985052)Instructions burned: 130 (million)
% 10.47/2.36 % (2985051)Instruction limit reached!
% 10.47/2.36 % (2985051)------------------------------
% 10.47/2.36 % (2985051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985051)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985051)Termination reason: Instruction limit
% 10.47/2.36 % (2985051)Termination phase: Saturation
% 10.47/2.36 % (2985051)Time elapsed: 0.089 s
% 10.47/2.36 % (2985051)Peak memory usage: 90 MB
% 10.47/2.36 % (2985051)Instructions burned: 139 (million)
% 10.47/2.36 % (2985050)------------------------------
% 10.47/2.36 % (2985050)------------------------------
% 10.47/2.36 % (2985062)lrs+1011_1_sil=32000:sp=occurrence:random_seed=366418867:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.47/2.36 % (2985062)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985062)------------------------------
% 10.47/2.36 % (2985062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985062)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985062)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985062)Time elapsed: 0.003 s
% 10.47/2.36 % (2985062)Peak memory usage: 89 MB
% 10.47/2.36 % (2985062)Instructions burned: 4 (million)
% 10.47/2.36 % (2985049)------------------------------
% 10.47/2.36 % (2985049)------------------------------
% 10.47/2.36 % (2985060)lrs+10_1_sil=8000:sp=occurrence:random_seed=866512116:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.47/2.36 % (2985061)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2547058646:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.47/2.36 % (2985060)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985060)------------------------------
% 10.47/2.36 % (2985060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985060)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985060)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985060)Time elapsed: 0.003 s
% 10.47/2.36 % (2985060)Peak memory usage: 88 MB
% 10.47/2.36 % (2985060)Instructions burned: 3 (million)
% 10.47/2.36 % (2985061)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985061)------------------------------
% 10.47/2.36 % (2985061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985061)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985061)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985061)Time elapsed: 0.004 s
% 10.47/2.36 % (2985061)Peak memory usage: 88 MB
% 10.47/2.36 % (2985061)Instructions burned: 6 (million)
% 10.47/2.36 % (2985062)------------------------------
% 10.47/2.36 % (2985062)------------------------------
% 10.47/2.36 % (2985066)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=3454443059:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.47/2.36 % (2985067)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2361036166:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.47/2.36 % (2985067)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985067)------------------------------
% 10.47/2.36 % (2985067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985067)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985067)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985067)Time elapsed: 0.002 s
% 10.47/2.36 % (2985067)Peak memory usage: 88 MB
% 10.47/2.36 % (2985067)Instructions burned: 5 (million)
% 10.47/2.36 % (2985061)------------------------------
% 10.47/2.36 % (2985061)------------------------------
% 10.47/2.36 % (2985060)------------------------------
% 10.47/2.36 % (2985060)------------------------------
% 10.47/2.36 % (2985066)Instruction limit reached!
% 10.47/2.36 % (2985066)------------------------------
% 10.47/2.36 % (2985066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985066)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985066)Termination reason: Instruction limit
% 10.47/2.36 % (2985066)Termination phase: Saturation
% 10.47/2.36 % (2985066)Time elapsed: 0.151 s
% 10.47/2.36 % (2985066)Peak memory usage: 93 MB
% 10.47/2.36 % (2985066)Instructions burned: 248 (million)
% 10.47/2.36 % (2985067)------------------------------
% 10.47/2.36 % (2985067)------------------------------
% 10.47/2.36 % (2985070)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=227948444:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.47/2.36 % (2985071)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=304862845:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 10.47/2.36 % (2985071)Instruction limit reached!
% 10.47/2.36 % (2985071)------------------------------
% 10.47/2.36 % (2985071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985071)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985071)Termination reason: Instruction limit
% 10.47/2.36 % (2985071)Termination phase: Saturation
% 10.47/2.36 % (2985071)Time elapsed: 0.068 s
% 10.47/2.36 % (2985071)Peak memory usage: 90 MB
% 10.47/2.36 % (2985071)Instructions burned: 114 (million)
% 10.47/2.36 % (2985072)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4007774730:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.47/2.36 % (2985073)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2668853825:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.47/2.36 % (2985072)Instruction limit reached!
% 10.47/2.36 % (2985072)------------------------------
% 10.47/2.36 % (2985072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985072)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985072)Termination reason: Instruction limit
% 10.47/2.36 % (2985072)Termination phase: Saturation
% 10.47/2.36 % (2985072)Time elapsed: 0.063 s
% 10.47/2.36 % (2985072)Peak memory usage: 89 MB
% 10.47/2.36 % (2985072)Instructions burned: 127 (million)
% 10.47/2.36 % (2985073)Instruction limit reached!
% 10.47/2.36 % (2985073)------------------------------
% 10.47/2.36 % (2985073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985073)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985073)Termination reason: Instruction limit
% 10.47/2.36 % (2985073)Termination phase: Saturation
% 10.47/2.36 % (2985073)Time elapsed: 0.035 s
% 10.47/2.36 % (2985073)Peak memory usage: 89 MB
% 10.47/2.36 % (2985073)Instructions burned: 117 (million)
% 10.47/2.36 % (2985077)lrs+10_1_sil=8000:sp=occurrence:random_seed=3066932940:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.47/2.36 % (2985080)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1710189559:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 10.47/2.36 % (2985079)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4111257223:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.47/2.36 % (2985079)Refutation not found, incomplete strategy
% 10.47/2.36 % (2985079)------------------------------
% 10.47/2.36 % (2985079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.47/2.36 % (2985079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.47/2.36 % (2985079)CaDiCaL version: 2.1.3
% 10.47/2.36 % (2985079)Termination reason: Refutation not found, incomplete strategy
% 10.47/2.36 % (2985079)Time elapsed: 0.030 s
% 10.47/2.36 % (2985079)Peak memory usage: 90 MB
% 10.47/2.36 % (2985079)Instructions burned: 54 (million)
% 10.47/2.36 % (2985048)First to succeed.
% 10.47/2.36 % (2985048)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2985041"
% 10.47/2.36 % (2985047)Also succeeded, but the first one will report.
% 10.47/2.36 % (2985079)------------------------------
% 10.47/2.36 % (2985079)------------------------------
% 10.47/2.36 % (2985046)Also succeeded, but the first one will report.
% 10.47/2.36 % (2985048)Refutation found. Thanks to Tanya!
% 10.47/2.36 % SZS status Theorem for theBenchmark
% 10.47/2.36 % SZS output start Proof for theBenchmark
% See solution above
% 11.03/2.56 % (2985048)------------------------------
% 11.03/2.56 % (2985048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.56 % (2985048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.56 % (2985048)CaDiCaL version: 2.1.3
% 11.03/2.56 % (2985048)Termination reason: Refutation
% 11.03/2.56 % (2985048)Time elapsed: 1.029 s
% 11.03/2.56 % (2985048)Peak memory usage: 139 MB
% 11.03/2.56 % (2985048)Instructions burned: 1654 (million)
% 11.03/2.56 % (2985048)------------------------------
% 11.03/2.56 % (2985048)------------------------------
% 11.03/2.56 % (2985041)Success in time 1.499 s
% 11.03/2.56 % Vampire exiting
%------------------------------------------------------------------------------