%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM706+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 : n013.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 12:16:37 PM UTC 2026
% Result : Theorem 8.99s 2.70s
% Output : Refutation 13.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 105 ( 27 unt; 9 def)
% Number of atoms : 251 ( 20 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 262 ( 116 ~; 117 |; 12 &)
% ( 14 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,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(f26,axiom,
! [X0] : scratc214822966d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f64,axiom,
scratc214101377d_n_is = scratc695441016d_e_is(scratc272482122nd_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f111,axiom,
! [X0] : scratc695441016d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f158,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1814191352_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f163,axiom,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_satz28a) ).
fof(f323,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)),X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__4) ).
fof(f336,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_ATP_Olambda__17) ).
fof(f628,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(f632,conjecture,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f633,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(negated_conjecture,[status(cth)],[f632]) ).
fof(f634,plain,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(flattening,[],[f633]) ).
fof(f651,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1814191352_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f158]) ).
fof(f652,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1814191352_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f651]) ).
fof(f813,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,[],[f628]) ).
fof(f814,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,[],[f813]) ).
fof(f888,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1814191352_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1814191352_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f652]) ).
fof(f889,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1814191352_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1814191352_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1)) ) ),
inference(rectify,[],[f888]) ).
fof(f890,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1814191352_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1814191352_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f889]) ).
fof(f912,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)),X0)) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ) ),
inference(nnf_transformation,[],[f323]) ).
fof(f926,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ) ),
inference(nnf_transformation,[],[f336]) ).
fof(f1288,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f1295,plain,
! [X0] : scratc214822966d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f1357,plain,
scratc214101377d_n_is = scratc695441016d_e_is(scratc272482122nd_nat),
inference(cnf_transformation,[],[f64]) ).
fof(f1421,plain,
! [X0] : scratc695441016d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f111]) ).
fof(f1505,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1814191352_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1)) ),
inference(cnf_transformation,[],[f890]) ).
fof(f1506,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f890]) ).
fof(f1507,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| scratc1814191352_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f890]) ).
fof(f1508,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc403153377all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f890]) ).
fof(f1514,plain,
pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx)),
inference(cnf_transformation,[],[f163]) ).
fof(f1705,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(cnf_transformation,[],[f912]) ).
fof(f1706,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1)),X0)) ),
inference(cnf_transformation,[],[f912]) ).
fof(f1734,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc214822966d_n_ts(X0),scratc1030418234nd_n_1))) ),
inference(cnf_transformation,[],[f926]) ).
fof(f2391,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,[],[f814]) ).
fof(f2395,plain,
~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(cnf_transformation,[],[f634]) ).
fof(f2423,plain,
scratc214101377d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1357,f1421]) ).
fof(f2459,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X0)),scratc1030418234nd_n_1)),X0)) ),
inference(definition_unfolding,[],[f1706,f1295]) ).
fof(f2460,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X0)),scratc1030418234nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(definition_unfolding,[],[f1705,f1295]) ).
fof(f2469,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,X0)),scratc1030418234nd_n_1))) ),
inference(definition_unfolding,[],[f1734,f1295]) ).
fof(f2635,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2637,plain,
( ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_aa))
| spl29_1 ),
inference(avatar_component_clause,[],[f2635]) ).
fof(f2638,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2395,f2635]) ).
fof(f2639,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa))
| spl29_1 ),
inference(resolution,[],[f2637,f1506]) ).
fof(f2640,plain,
( scratc1814191352_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2637,f1507]) ).
fof(f2641,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| spl29_1 ),
inference(resolution,[],[f2637,f1508]) ).
fof(f2654,definition,
( spl29_2
<=> scratc1814191352_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2656,plain,
( scratc1814191352_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2657,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2640,f2635,f2654]) ).
fof(f2659,definition,
( spl29_3
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f2661,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f2662,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2641,f2635,f2659]) ).
fof(f2663,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)))
| spl29_3 ),
inference(resolution,[],[f2661,f2469]) ).
fof(f2701,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2703,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2701]) ).
fof(f2704,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2639,f2635,f2701]) ).
fof(f2706,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2656,f1505]) ).
fof(f2707,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2706,f2703]) ).
fof(f2709,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2710,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2709]) ).
fof(f2711,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2707,f2701,f2654,f2709]) ).
fof(f3132,plain,
( ~ pp(aa_fun171081125l_bool(scratc403153377all_of(aTP_Lamm_a),aTP_Lamm_bx))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(resolution,[],[f2710,f2460]) ).
fof(f3330,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f3132,f1514]) ).
fof(f3398,definition,
( spl29_6
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1))) ),
introduced(definition,[new_symbols(definition,[spl29_6])],[avatar_definition]) ).
fof(f3400,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)))
| spl29_6 ),
inference(avatar_component_clause,[],[f3398]) ).
fof(f3401,plain,
( ~ spl29_6
| spl29_3 ),
inference(avatar_split_clause,[],[f2663,f2659,f3398]) ).
fof(f3528,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| sK12(aTP_Lamm_a,aTP_Lamm_aa) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_4 ),
inference(resolution,[],[f2703,f2391]) ).
fof(f3546,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| sK12(aTP_Lamm_a,aTP_Lamm_aa) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_4 ),
inference(forward_demodulation,[],[f3528,f2423]) ).
fof(f3551,definition,
( spl29_7
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| sK12(aTP_Lamm_a,aTP_Lamm_aa) = X0
| ~ gg_TPTP_ind(X0) ) ),
introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).
fof(f3552,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,X0),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| sK12(aTP_Lamm_a,aTP_Lamm_aa) = X0
| ~ gg_TPTP_ind(X0) )
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f3551]) ).
fof(f3553,plain,
( spl29_7
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f3546,f2701,f3551]) ).
fof(f3558,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(resolution,[],[f3552,f2460]) ).
fof(f3616,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3558,f1288]) ).
fof(f3716,definition,
( spl29_13
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f3718,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_13 ),
inference(avatar_component_clause,[],[f3716]) ).
fof(f3719,plain,
( spl29_13
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3330,f2709,f3716]) ).
fof(f5080,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_13 ),
inference(resolution,[],[f3718,f2459]) ).
fof(f5126,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)
| ~ spl29_7
| ~ spl29_13 ),
inference(backward_subsumption_resolution,[],[f3616,f5080]) ).
fof(f5135,definition,
( spl29_91
<=> sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1) ),
introduced(definition,[new_symbols(definition,[spl29_91])],[avatar_definition]) ).
fof(f5137,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc1764370566bnd_ap,aa_TPTP_ind_TPTP_ind(scratc2087855887_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc1030418234nd_n_1)
| ~ spl29_91 ),
inference(avatar_component_clause,[],[f5135]) ).
fof(f5138,plain,
( spl29_91
| ~ spl29_7
| ~ spl29_13 ),
inference(avatar_split_clause,[],[f5126,f3716,f3551,f5135]) ).
fof(f5140,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| spl29_6
| ~ spl29_91 ),
inference(superposition,[],[f3400,f5137]) ).
fof(f5143,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_91 ),
inference(superposition,[],[f2460,f5137]) ).
fof(f5226,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc214101377d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_13
| ~ spl29_91 ),
inference(forward_subsumption_resolution,[],[f5143,f5080]) ).
fof(f5232,plain,
( $false
| spl29_6
| ~ spl29_13
| ~ spl29_91 ),
inference(forward_subsumption_resolution,[],[f5226,f5140]) ).
fof(f5233,plain,
( spl29_6
| ~ spl29_13
| ~ spl29_91 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2638]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2657]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2662]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2704]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s6,plain,
( spl29_3
| ~ spl29_6 ),
inference(sat_conversion,[],[f3401]) ).
cnf(s7,plain,
( ~ spl29_4
| spl29_7 ),
inference(sat_conversion,[],[f3553]) ).
cnf(s13,plain,
( ~ spl29_5
| spl29_13 ),
inference(sat_conversion,[],[f3719]) ).
cnf(s91,plain,
( ~ spl29_7
| ~ spl29_13
| spl29_91 ),
inference(sat_conversion,[],[f5138]) ).
cnf(s93,plain,
( spl29_6
| ~ spl29_13
| ~ spl29_91 ),
inference(sat_conversion,[],[f5233]) ).
cnf(s94,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s95,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s96,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s99,plain,
spl29_7,
inference(rat,[],[s7,s94]) ).
cnf(s103,plain,
~ spl29_6,
inference(rat,[],[s6,s95]) ).
cnf(s104,plain,
spl29_5,
inference(rat,[],[s5,s94,s96]) ).
cnf(s181,plain,
spl29_13,
inference(rat,[],[s13,s104]) ).
cnf(s183,plain,
~ spl29_91,
inference(rat,[],[s93,s103,s181]) ).
cnf(s184,plain,
$false,
inference(rat,[],[s91,s99,s183,s181]) ).
fof(f5234,plain,
$false,
inference(avatar_sat_refutation,[],[s184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM706+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 % Computer : n013.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 21:09:22 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.45 Running first-order theorem proving
% 0.11/0.45 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
% 10.71/2.40 % (553860)Detected formulas, will run a generic FOF schedule.
% 10.71/2.40 % (553866)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=3902628696:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.71/2.40 % (553871)dis-21_1_sil=8000:lcm=predicate:random_seed=3019261514: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)
% 10.71/2.40 % (553869)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2031236307:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.71/2.40 % (553867)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=2365061177:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.71/2.40 % (553868)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1133939216:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.71/2.40 % (553865)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=4241338700:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.71/2.40 % (553868)Refutation not found, incomplete strategy
% 10.71/2.40 % (553868)------------------------------
% 10.71/2.40 % (553868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/2.40 % (553868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/2.40 % (553868)CaDiCaL version: 2.1.3
% 10.71/2.40 % (553868)Termination reason: Refutation not found, incomplete strategy
% 10.71/2.40 % (553868)Time elapsed: 0.003 s
% 10.71/2.40 % (553868)Peak memory usage: 88 MB
% 10.71/2.40 % (553868)Instructions burned: 3 (million)
% 10.71/2.40 % (553869)Refutation not found, incomplete strategy
% 10.71/2.40 % (553869)------------------------------
% 10.71/2.40 % (553869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/2.40 % (553869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/2.40 % (553869)CaDiCaL version: 2.1.3
% 10.71/2.40 % (553869)Termination reason: Refutation not found, incomplete strategy
% 10.71/2.40 % (553869)Time elapsed: 0.003 s
% 10.71/2.40 % (553869)Peak memory usage: 88 MB
% 10.71/2.40 % (553869)Instructions burned: 3 (million)
% 10.71/2.40 % (553870)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=534219575:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.71/2.40 % (553871)Instruction limit reached!
% 10.71/2.40 % (553871)------------------------------
% 10.71/2.40 % (553871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/2.40 % (553871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/2.40 % (553871)CaDiCaL version: 2.1.3
% 10.71/2.40 % (553871)Termination reason: Instruction limit
% 10.71/2.40 % (553871)Termination phase: Saturation
% 10.71/2.40 % (553871)Time elapsed: 0.071 s
% 10.71/2.40 % (553871)Peak memory usage: 90 MB
% 10.71/2.40 % (553871)Instructions burned: 129 (million)
% 10.71/2.40 % (553870)Instruction limit reached!
% 10.71/2.40 % (553870)------------------------------
% 10.71/2.40 % (553870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/2.40 % (553870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/2.40 % (553870)CaDiCaL version: 2.1.3
% 10.71/2.40 % (553870)Termination reason: Instruction limit
% 10.71/2.40 % (553870)Termination phase: Saturation
% 10.71/2.40 % (553870)Time elapsed: 0.079 s
% 10.71/2.40 % (553870)Peak memory usage: 90 MB
% 10.71/2.40 % (553870)Instructions burned: 139 (million)
% 10.71/2.40 % (553879)lrs+10_1_sil=8000:sp=occurrence:random_seed=1538376295:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.71/2.40 % (553879)Refutation not found, incomplete strategy
% 10.71/2.40 % (553879)------------------------------
% 10.71/2.40 % (553879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.71/2.40 % (553879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.71/2.40 % (553879)CaDiCaL version: 2.1.3
% 10.71/2.40 % (553879)Termination reason: Refutation not found, incomplete strategy
% 10.71/2.40 % (553879)Time elapsed: 0.005 s
% 10.71/2.40 % (553879)Peak memory usage: 89 MB
% 10.71/2.40 % (553879)Instructions burned: 5 (million)
% 10.71/2.40 % (553880)lrs+10_1_sil=32000:urr=on:br=off:random_seed=415280138:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.99/2.70 % (553880)Refutation not found, incomplete strategy
% 8.99/2.70 % (553880)------------------------------
% 8.99/2.70 % (553880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553880)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553880)Termination reason: Refutation not found, incomplete strategy
% 8.99/2.70 % (553880)Time elapsed: 0.005 s
% 8.99/2.70 % (553880)Peak memory usage: 88 MB
% 8.99/2.70 % (553880)Instructions burned: 10 (million)
% 8.99/2.70 % (553868)------------------------------
% 8.99/2.70 % (553868)------------------------------
% 8.99/2.70 % (553869)------------------------------
% 8.99/2.70 % (553869)------------------------------
% 8.99/2.70 % (553883)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1589908498:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.99/2.70 % (553883)Refutation not found, incomplete strategy
% 8.99/2.70 % (553883)------------------------------
% 8.99/2.70 % (553883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553883)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553883)Termination reason: Refutation not found, incomplete strategy
% 8.99/2.70 % (553883)Time elapsed: 0.003 s
% 8.99/2.70 % (553883)Peak memory usage: 89 MB
% 8.99/2.70 % (553883)Instructions burned: 5 (million)
% 8.99/2.70 % (553884)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=742469050:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.99/2.70 % (553879)------------------------------
% 8.99/2.70 % (553879)------------------------------
% 8.99/2.70 % (553880)------------------------------
% 8.99/2.70 % (553880)------------------------------
% 8.99/2.70 % (553883)------------------------------
% 8.99/2.70 % (553883)------------------------------
% 8.99/2.70 % (553884)Instruction limit reached!
% 8.99/2.70 % (553884)------------------------------
% 8.99/2.70 % (553884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553884)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553884)Termination reason: Instruction limit
% 8.99/2.70 % (553884)Termination phase: Saturation
% 8.99/2.70 % (553884)Time elapsed: 0.146 s
% 8.99/2.70 % (553884)Peak memory usage: 93 MB
% 8.99/2.70 % (553884)Instructions burned: 249 (million)
% 8.99/2.70 % (553887)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1597750017:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 8.99/2.70 % (553887)Refutation not found, incomplete strategy
% 8.99/2.70 % (553887)------------------------------
% 8.99/2.70 % (553887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553887)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553887)Termination reason: Refutation not found, incomplete strategy
% 8.99/2.70 % (553887)Time elapsed: 0.003 s
% 8.99/2.70 % (553887)Peak memory usage: 89 MB
% 8.99/2.70 % (553887)Instructions burned: 8 (million)
% 8.99/2.70 % (553888)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3985069795:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.99/2.70 % (553889)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3664750352:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.99/2.70 % (553889)Instruction limit reached!
% 8.99/2.70 % (553889)------------------------------
% 8.99/2.70 % (553889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553889)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553889)Termination reason: Instruction limit
% 8.99/2.70 % (553889)Termination phase: Saturation
% 8.99/2.70 % (553889)Time elapsed: 0.058 s
% 8.99/2.70 % (553889)Peak memory usage: 91 MB
% 8.99/2.70 % (553889)Instructions burned: 113 (million)
% 8.99/2.70 % (553890)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1178130793:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.99/2.70 % (553887)------------------------------
% 8.99/2.70 % (553887)------------------------------
% 8.99/2.70 % (553890)Instruction limit reached!
% 8.99/2.70 % (553890)------------------------------
% 8.99/2.70 % (553890)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553890)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553890)Termination reason: Instruction limit
% 8.99/2.70 % (553890)Termination phase: Saturation
% 8.99/2.70 % (553890)Time elapsed: 0.062 s
% 8.99/2.70 % (553890)Peak memory usage: 89 MB
% 8.99/2.70 % (553890)Instructions burned: 127 (million)
% 8.99/2.70 % (553896)lrs+10_1_sil=8000:sp=occurrence:random_seed=30189876:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.99/2.70 % (553895)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4126081283:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.99/2.70 % (553895)Instruction limit reached!
% 8.99/2.70 % (553895)------------------------------
% 8.99/2.70 % (553895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553895)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553895)Termination reason: Instruction limit
% 8.99/2.70 % (553895)Termination phase: Saturation
% 8.99/2.70 % (553895)Time elapsed: 0.061 s
% 8.99/2.70 % (553895)Peak memory usage: 90 MB
% 8.99/2.70 % (553895)Instructions burned: 114 (million)
% 8.99/2.70 % (553897)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3668726394:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 8.99/2.70 % (553897)Refutation not found, incomplete strategy
% 8.99/2.70 % (553897)------------------------------
% 8.99/2.70 % (553897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553897)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553897)Termination reason: Refutation not found, incomplete strategy
% 8.99/2.70 % (553897)Time elapsed: 0.045 s
% 8.99/2.70 % (553897)Peak memory usage: 90 MB
% 8.99/2.70 % (553897)Instructions burned: 89 (million)
% 8.99/2.70 % (553900)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4038031267:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.99/2.70 % (553896)Instruction limit reached!
% 8.99/2.70 % (553896)------------------------------
% 8.99/2.70 % (553896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553896)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553896)Termination reason: Instruction limit
% 8.99/2.70 % (553896)Termination phase: Saturation
% 8.99/2.70 % (553896)Time elapsed: 0.305 s
% 8.99/2.70 % (553896)Peak memory usage: 101 MB
% 8.99/2.70 % (553896)Instructions burned: 907 (million)
% 8.99/2.70 % (553897)------------------------------
% 8.99/2.70 % (553897)------------------------------
% 8.99/2.70 % (553903)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2074656966:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 8.99/2.70 % (553903)Instruction limit reached!
% 8.99/2.70 % (553903)------------------------------
% 8.99/2.70 % (553903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553903)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553903)Termination reason: Instruction limit
% 8.99/2.70 % (553903)Termination phase: Saturation
% 8.99/2.70 % (553903)Time elapsed: 0.041 s
% 8.99/2.70 % (553903)Peak memory usage: 94 MB
% 8.99/2.70 % (553903)Instructions burned: 136 (million)
% 8.99/2.70 % (553904)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2853614232:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 8.99/2.70 % (553906)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=19113061:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 8.99/2.70 % (553904)Refutation not found, incomplete strategy
% 8.99/2.70 % (553904)------------------------------
% 8.99/2.70 % (553904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.70 % (553904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.70 % (553904)CaDiCaL version: 2.1.3
% 8.99/2.70 % (553904)Termination reason: Refutation not found, incomplete strategy
% 8.99/2.70 % (553904)Time elapsed: 0.015 s
% 8.99/2.70 % (553904)Peak memory usage: 89 MB
% 8.99/2.70 % (553904)Instructions burned: 26 (million)
% 8.99/2.70 % (553867)First to succeed.
% 8.99/2.70 % (553867)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-553860"
% 8.99/2.70 % (553904)------------------------------
% 8.99/2.70 % (553904)------------------------------
% 8.99/2.70 % (553867)Refutation found. Thanks to Tanya!
% 8.99/2.70 % SZS status Theorem for theBenchmark
% 8.99/2.70 % SZS output start Proof for theBenchmark
% See solution above
% 13.21/2.89 % (553867)------------------------------
% 13.21/2.89 % (553867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.21/2.89 % (553867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.21/2.89 % (553867)CaDiCaL version: 2.1.3
% 13.21/2.89 % (553867)Termination reason: Refutation
% 13.21/2.89 % (553867)Time elapsed: 1.375 s
% 13.21/2.89 % (553867)Peak memory usage: 145 MB
% 13.21/2.89 % (553867)Instructions burned: 2214 (million)
% 13.21/2.89 % (553867)------------------------------
% 13.21/2.89 % (553867)------------------------------
% 13.21/2.89 % (553860)Success in time 1.812 s
% 13.21/2.89 % Vampire exiting
%------------------------------------------------------------------------------