%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM708+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 : n006.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 12:16:38 PM UTC 2026
% Result : Theorem 12.39s 2.79s
% Output : Refutation 13.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 30 unt; 10 def)
% Number of atoms : 297 ( 25 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 314 ( 140 ~; 142 |; 13 &)
% ( 16 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 67 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f26,axiom,
! [X0] : scratc1184412276d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__ts) ).
fof(f64,axiom,
scratc1183690687d_n_is = scratc1665030326d_e_is(scratc1865498760nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f111,axiom,
! [X0] : scratc1665030326d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f158,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1732651578_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f163,axiom,
pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_bx)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz28c) ).
fof(f165,axiom,
pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_ca)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_satz28a) ).
fof(f325,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(X0),scratc479575420nd_n_1)),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__4) ).
fof(f327,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)),X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__6) ).
fof(f339,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__18) ).
fof(f633,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/sandbox/benchmark/theBenchmark.p',help_fequal_1_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f637,conjecture,
pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f638,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(negated_conjecture,[status(cth)],[f637]) ).
fof(f639,plain,
~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(flattening,[],[f638]) ).
fof(f656,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1732651578_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f158]) ).
fof(f657,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1732651578_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f656]) ).
fof(f818,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,[],[f633]) ).
fof(f819,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,[],[f818]) ).
fof(f893,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1732651578_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1732651578_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f657]) ).
fof(f894,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1732651578_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1732651578_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1)) ) ),
inference(rectify,[],[f893]) ).
fof(f895,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1732651578_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1732651578_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f894]) ).
fof(f917,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(X0),scratc479575420nd_n_1)),X0)) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(X0),scratc479575420nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ) ),
inference(nnf_transformation,[],[f325]) ).
fof(f919,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)),X0)) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ) ),
inference(nnf_transformation,[],[f327]) ).
fof(f932,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0))) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0)) ) ),
inference(nnf_transformation,[],[f339]) ).
fof(f1296,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f19]) ).
fof(f1303,plain,
! [X0] : scratc1184412276d_n_ts(X0) = aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,X0)),
inference(cnf_transformation,[],[f26]) ).
fof(f1365,plain,
scratc1183690687d_n_is = scratc1665030326d_e_is(scratc1865498760nd_nat),
inference(cnf_transformation,[],[f64]) ).
fof(f1429,plain,
! [X0] : scratc1665030326d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f111]) ).
fof(f1513,plain,
! [X3,X0,X1] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1732651578_is_of(X3,X0)
| ~ gg_TPTP_ind(X3)
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1)) ),
inference(cnf_transformation,[],[f895]) ).
fof(f1514,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f895]) ).
fof(f1515,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| scratc1732651578_is_of(sK12(X0,X1),X0) ),
inference(cnf_transformation,[],[f895]) ).
fof(f1516,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc857285919all_of(X0),X1))
| ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1))) ),
inference(cnf_transformation,[],[f895]) ).
fof(f1522,plain,
pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_bx)),
inference(cnf_transformation,[],[f163]) ).
fof(f1524,plain,
pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_ca)),
inference(cnf_transformation,[],[f165]) ).
fof(f1715,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(X0),scratc479575420nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(cnf_transformation,[],[f917]) ).
fof(f1716,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(X0),scratc479575420nd_n_1)),X0)) ),
inference(cnf_transformation,[],[f917]) ).
fof(f1719,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(cnf_transformation,[],[f919]) ).
fof(f1720,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0)),X0)) ),
inference(cnf_transformation,[],[f919]) ).
fof(f1746,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,X0),aa_TPTP_ind_TPTP_ind(scratc1184412276d_n_ts(scratc479575420nd_n_1),X0))) ),
inference(cnf_transformation,[],[f932]) ).
fof(f2407,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,[],[f819]) ).
fof(f2411,plain,
~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa)),
inference(cnf_transformation,[],[f639]) ).
fof(f2439,plain,
scratc1183690687d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f1365,f1429]) ).
fof(f2475,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,X0)),scratc479575420nd_n_1)),X0)) ),
inference(definition_unfolding,[],[f1716,f1303]) ).
fof(f2476,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,X0)),scratc479575420nd_n_1)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,X0)) ),
inference(definition_unfolding,[],[f1715,f1303]) ).
fof(f2479,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),X0)),X0)) ),
inference(definition_unfolding,[],[f1720,f1303]) ).
fof(f2480,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),X0)),X0))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,X0)) ),
inference(definition_unfolding,[],[f1719,f1303]) ).
fof(f2487,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,X0))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,X0),aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),X0))) ),
inference(definition_unfolding,[],[f1746,f1303]) ).
fof(f2655,definition,
( spl29_1
<=> pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa)) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f2657,plain,
( ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_aa))
| spl29_1 ),
inference(avatar_component_clause,[],[f2655]) ).
fof(f2658,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f2411,f2655]) ).
fof(f2659,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa))
| spl29_1 ),
inference(resolution,[],[f2657,f1514]) ).
fof(f2660,plain,
( scratc1732651578_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a)
| spl29_1 ),
inference(resolution,[],[f2657,f1515]) ).
fof(f2661,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| spl29_1 ),
inference(resolution,[],[f2657,f1516]) ).
fof(f2674,definition,
( spl29_2
<=> scratc1732651578_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f2676,plain,
( scratc1732651578_is_of(sK12(aTP_Lamm_a,aTP_Lamm_aa),aTP_Lamm_a)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f2674]) ).
fof(f2677,plain,
( spl29_2
| spl29_1 ),
inference(avatar_split_clause,[],[f2660,f2655,f2674]) ).
fof(f2679,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(f2681,plain,
( ~ pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| spl29_3 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f2682,plain,
( ~ spl29_3
| spl29_1 ),
inference(avatar_split_clause,[],[f2661,f2655,f2679]) ).
fof(f2721,definition,
( spl29_4
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa)) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f2723,plain,
( gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f2721]) ).
fof(f2724,plain,
( spl29_4
| spl29_1 ),
inference(avatar_split_clause,[],[f2659,f2655,f2721]) ).
fof(f2726,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(scratc857285919all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2 ),
inference(resolution,[],[f2676,f1513]) ).
fof(f2727,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),X0)) )
| ~ spl29_2
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f2726,f2723]) ).
fof(f2729,definition,
( spl29_5
<=> ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).
fof(f2730,plain,
( ! [X0] :
( pp(aa_TPTP_ind_bool(X0,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),X0)) )
| ~ spl29_5 ),
inference(avatar_component_clause,[],[f2729]) ).
fof(f2731,plain,
( spl29_5
| ~ spl29_2
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f2727,f2721,f2674,f2729]) ).
fof(f3153,plain,
( ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_bx))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(resolution,[],[f2730,f2480]) ).
fof(f3155,plain,
( ~ pp(aa_fun171081125l_bool(scratc857285919all_of(aTP_Lamm_a),aTP_Lamm_ca))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(resolution,[],[f2730,f2476]) ).
fof(f3353,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f3155,f1524]) ).
fof(f3355,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_5 ),
inference(forward_subsumption_resolution,[],[f3153,f1522]) ).
fof(f3553,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,[],[f2723,f2407]) ).
fof(f3571,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_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,[],[f3553,f2439]) ).
fof(f3576,definition,
( spl29_7
<=> ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_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(f3577,plain,
( ! [X0] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_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,[],[f3576]) ).
fof(f3578,plain,
( spl29_7
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f3571,f2721,f3576]) ).
fof(f3579,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(resolution,[],[f3577,f2476]) ).
fof(f3580,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(resolution,[],[f3577,f2480]) ).
fof(f3636,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3580,f1296]) ).
fof(f3637,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ca,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_7 ),
inference(forward_subsumption_resolution,[],[f3579,f1296]) ).
fof(f3738,definition,
( spl29_12
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
introduced(definition,[new_symbols(definition,[spl29_12])],[avatar_definition]) ).
fof(f3740,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_12 ),
inference(avatar_component_clause,[],[f3738]) ).
fof(f3741,plain,
( spl29_12
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3353,f2729,f3738]) ).
fof(f3748,definition,
( spl29_14
<=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))),sK12(aTP_Lamm_a,aTP_Lamm_aa))) ),
introduced(definition,[new_symbols(definition,[spl29_14])],[avatar_definition]) ).
fof(f3750,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_14 ),
inference(avatar_component_clause,[],[f3748]) ).
fof(f3751,plain,
( spl29_14
| ~ spl29_5 ),
inference(avatar_split_clause,[],[f3355,f2729,f3748]) ).
fof(f4207,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ca,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_12 ),
inference(resolution,[],[f3740,f2475]) ).
fof(f4253,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)
| ~ spl29_7
| ~ spl29_12 ),
inference(backward_subsumption_resolution,[],[f3637,f4207]) ).
fof(f4262,definition,
( spl29_38
<=> sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1) ),
introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).
fof(f4264,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,sK12(aTP_Lamm_a,aTP_Lamm_aa))),scratc479575420nd_n_1)
| ~ spl29_38 ),
inference(avatar_component_clause,[],[f4262]) ).
fof(f4265,plain,
( spl29_38
| ~ spl29_7
| ~ spl29_12 ),
inference(avatar_split_clause,[],[f4253,f3738,f3576,f4262]) ).
fof(f4266,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_12
| ~ spl29_38 ),
inference(superposition,[],[f3740,f4264]) ).
fof(f5418,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_bx,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_14 ),
inference(resolution,[],[f3750,f2479]) ).
fof(f5464,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ spl29_7
| ~ spl29_14 ),
inference(backward_subsumption_resolution,[],[f3636,f5418]) ).
fof(f5473,definition,
( spl29_100
<=> sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa)) ),
introduced(definition,[new_symbols(definition,[spl29_100])],[avatar_definition]) ).
fof(f5475,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_aa) = aa_TPTP_ind_TPTP_ind(aa_TPT1424761345TP_ind(scratc302806984bnd_ap,aa_TPTP_ind_TPTP_ind(scratc909961549_times,scratc479575420nd_n_1)),sK12(aTP_Lamm_a,aTP_Lamm_aa))
| ~ spl29_100 ),
inference(avatar_component_clause,[],[f5473]) ).
fof(f5476,plain,
( spl29_100
| ~ spl29_7
| ~ spl29_14 ),
inference(avatar_split_clause,[],[f5464,f3748,f3576,f5473]) ).
fof(f5480,plain,
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc1183690687d_n_is,sK12(aTP_Lamm_a,aTP_Lamm_aa)),sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_100 ),
inference(superposition,[],[f2487,f5475]) ).
fof(f5564,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_aa)))
| ~ spl29_12
| ~ spl29_38
| ~ spl29_100 ),
inference(forward_subsumption_resolution,[],[f5480,f4266]) ).
fof(f5567,plain,
( $false
| spl29_3
| ~ spl29_12
| ~ spl29_38
| ~ spl29_100 ),
inference(forward_subsumption_resolution,[],[f5564,f2681]) ).
fof(f5568,plain,
( spl29_3
| ~ spl29_12
| ~ spl29_38
| ~ spl29_100 ),
inference(avatar_contradiction_clause,[],[f5567]) ).
cnf(s1,plain,
~ spl29_1,
inference(sat_conversion,[],[f2658]) ).
cnf(s2,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f2677]) ).
cnf(s3,plain,
( spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f2682]) ).
cnf(s4,plain,
( spl29_1
| spl29_4 ),
inference(sat_conversion,[],[f2724]) ).
cnf(s5,plain,
( ~ spl29_2
| ~ spl29_4
| spl29_5 ),
inference(sat_conversion,[],[f2731]) ).
cnf(s7,plain,
( ~ spl29_4
| spl29_7 ),
inference(sat_conversion,[],[f3578]) ).
cnf(s12,plain,
( ~ spl29_5
| spl29_12 ),
inference(sat_conversion,[],[f3741]) ).
cnf(s14,plain,
( ~ spl29_5
| spl29_14 ),
inference(sat_conversion,[],[f3751]) ).
cnf(s38,plain,
( ~ spl29_7
| ~ spl29_12
| spl29_38 ),
inference(sat_conversion,[],[f4265]) ).
cnf(s100,plain,
( ~ spl29_7
| ~ spl29_14
| spl29_100 ),
inference(sat_conversion,[],[f5476]) ).
cnf(s102,plain,
( spl29_3
| ~ spl29_12
| ~ spl29_38
| ~ spl29_100 ),
inference(sat_conversion,[],[f5568]) ).
cnf(s103,plain,
spl29_4,
inference(rat,[],[s4,s1]) ).
cnf(s104,plain,
~ spl29_3,
inference(rat,[],[s3,s1]) ).
cnf(s105,plain,
spl29_2,
inference(rat,[],[s2,s1]) ).
cnf(s108,plain,
spl29_7,
inference(rat,[],[s7,s103]) ).
cnf(s113,plain,
spl29_5,
inference(rat,[],[s5,s103,s105]) ).
cnf(s196,plain,
spl29_14,
inference(rat,[],[s14,s113]) ).
cnf(s197,plain,
spl29_12,
inference(rat,[],[s12,s113]) ).
cnf(s200,plain,
spl29_100,
inference(rat,[],[s100,s108,s196]) ).
cnf(s201,plain,
~ spl29_38,
inference(rat,[],[s102,s200,s104,s197]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s38,s108,s201,s197]) ).
fof(f5569,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM708+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 % Computer : n006.cluster.edu
% 0.12/0.43 % Model : x86_64 x86_64
% 0.12/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.43 % Memory : 8046.5625MB
% 0.12/0.43 % OS : Linux 6.8.0-71-generic
% 0.12/0.43 % CPULimit : 300
% 0.12/0.43 % WCLimit : 300
% 0.12/0.43 % DateTime : Sun Sep 27 21:09:56 UTC 2026
% 0.12/0.43 % CPUTime :
% 0.12/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.41/2.58 % (3316469)Detected formulas, will run a generic FOF schedule.
% 11.41/2.58 % (3316477)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3785960493:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.41/2.58 % (3316477)Refutation not found, incomplete strategy
% 11.41/2.58 % (3316477)------------------------------
% 11.41/2.58 % (3316477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58 % (3316477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58 % (3316477)CaDiCaL version: 2.1.3
% 11.41/2.58 % (3316477)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.58 % (3316477)Time elapsed: 0.002 s
% 11.41/2.58 % (3316477)Peak memory usage: 88 MB
% 11.41/2.58 % (3316477)Instructions burned: 3 (million)
% 11.41/2.58 % (3316475)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=3188986788:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.41/2.58 % (3316474)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=1760876136:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.41/2.58 % (3316476)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=60532838:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.41/2.58 % (3316480)dis-21_1_sil=8000:lcm=predicate:random_seed=3409949437:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.41/2.58 % (3316479)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=117870790:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.41/2.58 % (3316478)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3715123320:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.41/2.58 % (3316478)Refutation not found, incomplete strategy
% 11.41/2.58 % (3316478)------------------------------
% 11.41/2.58 % (3316478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58 % (3316478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58 % (3316478)CaDiCaL version: 2.1.3
% 11.41/2.58 % (3316478)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.58 % (3316478)Time elapsed: 0.003 s
% 11.41/2.58 % (3316478)Peak memory usage: 88 MB
% 11.41/2.58 % (3316478)Instructions burned: 3 (million)
% 11.41/2.58 % (3316480)Instruction limit reached!
% 11.41/2.58 % (3316480)------------------------------
% 11.41/2.58 % (3316480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58 % (3316480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58 % (3316480)CaDiCaL version: 2.1.3
% 11.41/2.58 % (3316480)Termination reason: Instruction limit
% 11.41/2.58 % (3316480)Termination phase: Saturation
% 11.41/2.58 % (3316480)Time elapsed: 0.071 s
% 11.41/2.58 % (3316480)Peak memory usage: 90 MB
% 11.41/2.58 % (3316480)Instructions burned: 130 (million)
% 11.41/2.58 % (3316479)Instruction limit reached!
% 11.41/2.58 % (3316479)------------------------------
% 11.41/2.58 % (3316479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58 % (3316479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58 % (3316479)CaDiCaL version: 2.1.3
% 11.41/2.58 % (3316479)Termination reason: Instruction limit
% 11.41/2.58 % (3316479)Termination phase: Saturation
% 11.41/2.58 % (3316479)Time elapsed: 0.078 s
% 11.41/2.58 % (3316479)Peak memory usage: 90 MB
% 11.41/2.58 % (3316479)Instructions burned: 139 (million)
% 11.41/2.58 % (3316477)------------------------------
% 11.41/2.58 % (3316477)------------------------------
% 11.41/2.58 % (3316490)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1109796217:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.41/2.58 % (3316490)Refutation not found, incomplete strategy
% 11.41/2.58 % (3316490)------------------------------
% 11.41/2.58 % (3316490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.41/2.58 % (3316490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.41/2.58 % (3316490)CaDiCaL version: 2.1.3
% 11.41/2.58 % (3316490)Termination reason: Refutation not found, incomplete strategy
% 11.41/2.58 % (3316490)Time elapsed: 0.003 s
% 11.41/2.58 % (3316490)Peak memory usage: 89 MB
% 12.39/2.79 % (3316490)Instructions burned: 5 (million)
% 12.39/2.79 % (3316489)lrs+10_1_sil=32000:urr=on:br=off:random_seed=901909611:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.39/2.79 % (3316488)lrs+10_1_sil=8000:sp=occurrence:random_seed=2273600227:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 12.39/2.79 % (3316489)Refutation not found, incomplete strategy
% 12.39/2.79 % (3316489)------------------------------
% 12.39/2.79 % (3316489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316489)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316489)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.79 % (3316489)Time elapsed: 0.006 s
% 12.39/2.79 % (3316489)Peak memory usage: 88 MB
% 12.39/2.79 % (3316489)Instructions burned: 10 (million)
% 12.39/2.79 % (3316488)Refutation not found, incomplete strategy
% 12.39/2.79 % (3316488)------------------------------
% 12.39/2.79 % (3316488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316488)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316488)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.79 % (3316488)Time elapsed: 0.006 s
% 12.39/2.79 % (3316488)Peak memory usage: 89 MB
% 12.39/2.79 % (3316488)Instructions burned: 7 (million)
% 12.39/2.79 % (3316478)------------------------------
% 12.39/2.79 % (3316478)------------------------------
% 12.39/2.79 % (3316490)------------------------------
% 12.39/2.79 % (3316490)------------------------------
% 12.39/2.79 % (3316494)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=852755522:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 12.39/2.79 % (3316495)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3106821759:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 12.39/2.79 % (3316495)Refutation not found, incomplete strategy
% 12.39/2.79 % (3316495)------------------------------
% 12.39/2.79 % (3316495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316495)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316495)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.79 % (3316495)Time elapsed: 0.003 s
% 12.39/2.79 % (3316495)Peak memory usage: 89 MB
% 12.39/2.79 % (3316495)Instructions burned: 8 (million)
% 12.39/2.79 % (3316489)------------------------------
% 12.39/2.79 % (3316489)------------------------------
% 12.39/2.79 % (3316488)------------------------------
% 12.39/2.79 % (3316488)------------------------------
% 12.39/2.79 % (3316494)Instruction limit reached!
% 12.39/2.79 % (3316494)------------------------------
% 12.39/2.79 % (3316494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316494)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316494)Termination reason: Instruction limit
% 12.39/2.79 % (3316494)Termination phase: Saturation
% 12.39/2.79 % (3316494)Time elapsed: 0.148 s
% 12.39/2.79 % (3316494)Peak memory usage: 93 MB
% 12.39/2.79 % (3316494)Instructions burned: 250 (million)
% 12.39/2.79 % (3316495)------------------------------
% 12.39/2.79 % (3316495)------------------------------
% 12.39/2.79 % (3316499)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1655534679:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 12.39/2.79 % (3316498)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4063396419:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 12.39/2.79 % (3316499)Instruction limit reached!
% 12.39/2.79 % (3316499)------------------------------
% 12.39/2.79 % (3316499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316499)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316499)Termination reason: Instruction limit
% 12.39/2.79 % (3316499)Termination phase: Saturation
% 12.39/2.79 % (3316499)Time elapsed: 0.058 s
% 12.39/2.79 % (3316499)Peak memory usage: 91 MB
% 12.39/2.79 % (3316499)Instructions burned: 114 (million)
% 12.39/2.79 % (3316500)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1059774761:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 12.39/2.79 % (3316503)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3579280108:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 12.39/2.79 % (3316500)Instruction limit reached!
% 12.39/2.79 % (3316500)------------------------------
% 12.39/2.79 % (3316500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316500)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316500)Termination reason: Instruction limit
% 12.39/2.79 % (3316500)Termination phase: Saturation
% 12.39/2.79 % (3316500)Time elapsed: 0.061 s
% 12.39/2.79 % (3316500)Peak memory usage: 89 MB
% 12.39/2.79 % (3316500)Instructions burned: 129 (million)
% 12.39/2.79 % (3316504)lrs+10_1_sil=8000:sp=occurrence:random_seed=2697620336:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 12.39/2.79 % (3316503)Instruction limit reached!
% 12.39/2.79 % (3316503)------------------------------
% 12.39/2.79 % (3316503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316503)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316503)Termination reason: Instruction limit
% 12.39/2.79 % (3316503)Termination phase: Saturation
% 12.39/2.79 % (3316503)Time elapsed: 0.061 s
% 12.39/2.79 % (3316503)Peak memory usage: 90 MB
% 12.39/2.79 % (3316503)Instructions burned: 115 (million)
% 12.39/2.79 % (3316507)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2534707901:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 12.39/2.79 % (3316509)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2205437132:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 12.39/2.79 % (3316507)Refutation not found, incomplete strategy
% 12.39/2.79 % (3316507)------------------------------
% 12.39/2.79 % (3316507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316507)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316507)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.79 % (3316507)Time elapsed: 0.045 s
% 12.39/2.79 % (3316507)Peak memory usage: 90 MB
% 12.39/2.79 % (3316507)Instructions burned: 89 (million)
% 12.39/2.79 % (3316507)------------------------------
% 12.39/2.79 % (3316507)------------------------------
% 12.39/2.79 % (3316513)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3369089178:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 12.39/2.79 % (3316504)Instruction limit reached!
% 12.39/2.79 % (3316504)------------------------------
% 12.39/2.79 % (3316504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316504)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316504)Termination reason: Instruction limit
% 12.39/2.79 % (3316504)Termination phase: Saturation
% 12.39/2.79 % (3316504)Time elapsed: 0.555 s
% 12.39/2.79 % (3316504)Peak memory usage: 101 MB
% 12.39/2.79 % (3316504)Instructions burned: 908 (million)
% 12.39/2.79 % (3316513)Instruction limit reached!
% 12.39/2.79 % (3316513)------------------------------
% 12.39/2.79 % (3316513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316513)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316513)Termination reason: Instruction limit
% 12.39/2.79 % (3316513)Termination phase: Saturation
% 12.39/2.79 % (3316513)Time elapsed: 0.072 s
% 12.39/2.79 % (3316513)Peak memory usage: 94 MB
% 12.39/2.79 % (3316513)Instructions burned: 134 (million)
% 12.39/2.79 % (3316476)First to succeed.
% 12.39/2.79 % (3316476)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3316469"
% 12.39/2.79 % (3316515)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1519461683:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 12.39/2.79 % (3316516)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1991830221:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 12.39/2.79 % (3316515)Refutation not found, incomplete strategy
% 12.39/2.79 % (3316515)------------------------------
% 12.39/2.79 % (3316515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.39/2.79 % (3316515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.39/2.79 % (3316515)CaDiCaL version: 2.1.3
% 12.39/2.79 % (3316515)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.79 % (3316515)Time elapsed: 0.015 s
% 12.39/2.79 % (3316515)Peak memory usage: 89 MB
% 12.39/2.79 % (3316515)Instructions burned: 27 (million)
% 12.39/2.79 % (3316476)Refutation found. Thanks to Tanya!
% 12.39/2.79 % SZS status Theorem for theBenchmark
% 12.39/2.79 % SZS output start Proof for theBenchmark
% See solution above
% 13.68/2.98 % (3316476)------------------------------
% 13.68/2.98 % (3316476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.68/2.98 % (3316476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.68/2.98 % (3316476)CaDiCaL version: 2.1.3
% 13.68/2.98 % (3316476)Termination reason: Refutation
% 13.68/2.98 % (3316476)Time elapsed: 1.436 s
% 13.68/2.98 % (3316476)Peak memory usage: 146 MB
% 13.68/2.98 % (3316476)Instructions burned: 2344 (million)
% 13.68/2.98 % (3316476)------------------------------
% 13.68/2.98 % (3316476)------------------------------
% 13.68/2.98 % (3316469)Success in time 1.879 s
% 13.68/2.98 % Vampire exiting
%------------------------------------------------------------------------------