%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM635+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:16:05 PM UTC 2026
% Result : Theorem 9.11s 2.14s
% Output : Refutation 9.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 125 ( 37 unt; 5 def)
% Number of atoms : 287 ( 55 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 272 ( 110 ~; 126 |; 18 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 14 con; 0-2 aty)
% Number of variables : 129 ( 0 sgn 127 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__HOL__Obool) ).
fof(f18,axiom,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_c_aa_001t__TPTP____Interpret__Oind_001t__TPTP____Interpret__Oind) ).
fof(f33,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
<=> pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663052034d_n_is,X0),X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__nis) ).
fof(f34,axiom,
scratc663052034d_n_is = scratc1144391673d_e_is(scratc51585355nd_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__n__is) ).
fof(f81,axiom,
! [X0] : scratc1144391673d_e_is(X0) = fequal_TPTP_ind,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__e__is) ).
fof(f96,axiom,
! [X0] :
( pp(scratc1032512005_d_not(X0))
<=> pp(aa_bool_bool(aa_boo1142376798l_bool(scratc11065014nd_imp,X0),fFalse)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__d__not) ).
fof(f97,axiom,
scratc11065014nd_imp = fimplies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__imp) ).
fof(f128,axiom,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
<=> ! [X2] :
( gg_TPTP_ind(X2)
=> ( scratc1937591223_is_of(X2,X0)
=> pp(aa_TPTP_ind_bool(X1,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_def__all__of) ).
fof(f176,axiom,
! [X0,X1] :
( ( gg_TPTP_ind(X0)
& gg_TPTP_ind(X1) )
=> ( aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ordsucc__inj) ).
fof(f202,axiom,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
<=> pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__7) ).
fof(f209,axiom,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
=> pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_ATP_Olambda__14) ).
fof(f268,axiom,
pp(fTrue),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_pp_2_1_U) ).
fof(f272,axiom,
! [X0] :
( gg_bool(X0)
=> ( X0 = fTrue
| X0 = fFalse ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_T) ).
fof(f273,axiom,
~ pp(fFalse),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fFalse_1_1_U) ).
fof(f274,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(f276,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(f278,axiom,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_fequal_2_1_fequal_001t__TPTP____Interpret__Oind_T) ).
fof(f279,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(f283,conjecture,
pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aTP_Lamm_ab)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f284,negated_conjecture,
~ pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(negated_conjecture,[status(cth)],[f283]) ).
fof(f285,plain,
~ pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(flattening,[],[f284]) ).
fof(f302,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1937591223_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(ennf_transformation,[],[f128]) ).
fof(f303,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
<=> ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1937591223_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) ) ),
inference(flattening,[],[f302]) ).
fof(f335,plain,
! [X0,X1] :
( X0 = X1
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(ennf_transformation,[],[f176]) ).
fof(f336,plain,
! [X0,X1] :
( X0 = X1
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(flattening,[],[f335]) ).
fof(f363,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
<=> ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ) ),
inference(ennf_transformation,[],[f209]) ).
fof(f383,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(ennf_transformation,[],[f272]) ).
fof(f384,plain,
! [X0] :
( X0 = fTrue
| X0 = fFalse
| ~ gg_bool(X0) ),
inference(flattening,[],[f383]) ).
fof(f385,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,[],[f279]) ).
fof(f386,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,[],[f385]) ).
fof(f388,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
| ~ pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663052034d_n_is,X0),X1))) )
& ( pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663052034d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f414,plain,
! [X0] :
( ( pp(scratc1032512005_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc11065014nd_imp,X0),fFalse)) )
& ( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc11065014nd_imp,X0),fFalse))
| ~ pp(scratc1032512005_d_not(X0)) ) ),
inference(nnf_transformation,[],[f96]) ).
fof(f437,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1937591223_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X2] :
( pp(aa_TPTP_ind_bool(X1,X2))
| ~ scratc1937591223_is_of(X2,X0)
| ~ gg_TPTP_ind(X2) )
| ~ pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1)) ) ),
inference(nnf_transformation,[],[f303]) ).
fof(f438,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
| ? [X2] :
( ~ pp(aa_TPTP_ind_bool(X1,X2))
& scratc1937591223_is_of(X2,X0)
& gg_TPTP_ind(X2) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1937591223_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1)) ) ),
inference(rectify,[],[f437]) ).
fof(f439,plain,
! [X0,X1] :
( ( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
& scratc1937591223_is_of(sK12(X0,X1),X0)
& gg_TPTP_ind(sK12(X0,X1)) ) )
& ( ! [X3] :
( pp(aa_TPTP_ind_bool(X1,X3))
| ~ scratc1937591223_is_of(X3,X0)
| ~ gg_TPTP_ind(X3) )
| ~ pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f438]) ).
fof(f463,plain,
! [X0] :
( ( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| ~ pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) )
& ( pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| ~ pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ) ),
inference(nnf_transformation,[],[f202]) ).
fof(f474,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(nnf_transformation,[],[f363]) ).
fof(f475,plain,
! [X0,X1] :
( ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| ( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
& pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ) )
& ( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ) ),
inference(flattening,[],[f474]) ).
fof(f556,plain,
! [X0,X1] : gg_bool(aa_TPTP_ind_bool(X0,X1)),
inference(cnf_transformation,[],[f17]) ).
fof(f557,plain,
! [X0,X1] : gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(X0,X1)),
inference(cnf_transformation,[],[f18]) ).
fof(f573,plain,
! [X0,X1] :
( pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663052034d_n_is,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ),
inference(cnf_transformation,[],[f388]) ).
fof(f574,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
| ~ pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc663052034d_n_is,X0),X1))) ),
inference(cnf_transformation,[],[f388]) ).
fof(f575,plain,
scratc663052034d_n_is = scratc1144391673d_e_is(scratc51585355nd_nat),
inference(cnf_transformation,[],[f34]) ).
fof(f639,plain,
! [X0] : scratc1144391673d_e_is(X0) = fequal_TPTP_ind,
inference(cnf_transformation,[],[f81]) ).
fof(f657,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(scratc11065014nd_imp,X0),fFalse))
| ~ pp(scratc1032512005_d_not(X0)) ),
inference(cnf_transformation,[],[f414]) ).
fof(f658,plain,
! [X0] :
( pp(scratc1032512005_d_not(X0))
| ~ pp(aa_bool_bool(aa_boo1142376798l_bool(scratc11065014nd_imp,X0),fFalse)) ),
inference(cnf_transformation,[],[f414]) ).
fof(f659,plain,
scratc11065014nd_imp = fimplies,
inference(cnf_transformation,[],[f97]) ).
fof(f722,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1))
| gg_TPTP_ind(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f439]) ).
fof(f724,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(X1,sK12(X0,X1)))
| pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),X1)) ),
inference(cnf_transformation,[],[f439]) ).
fof(f787,plain,
! [X0,X1] :
( aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
| X0 = X1
| ~ gg_TPTP_ind(X0)
| ~ gg_TPTP_ind(X1) ),
inference(cnf_transformation,[],[f336]) ).
fof(f834,plain,
! [X0] :
( ~ pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(cnf_transformation,[],[f463]) ).
fof(f850,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ),
inference(cnf_transformation,[],[f475]) ).
fof(f851,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(cnf_transformation,[],[f475]) ).
fof(f980,plain,
pp(fTrue),
inference(cnf_transformation,[],[f268]) ).
fof(f984,plain,
! [X0] :
( ~ gg_bool(X0)
| fFalse = X0
| fTrue = X0 ),
inference(cnf_transformation,[],[f384]) ).
fof(f985,plain,
~ pp(fFalse),
inference(cnf_transformation,[],[f273]) ).
fof(f986,plain,
! [X0,X1] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| ~ pp(X0)
| pp(X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f988,plain,
! [X0,X1] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),X1))
| pp(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f990,plain,
! [X0,X1] :
( X0 != X1
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(cnf_transformation,[],[f278]) ).
fof(f991,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,[],[f386]) ).
fof(f995,plain,
~ pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aTP_Lamm_ab)),
inference(cnf_transformation,[],[f285]) ).
fof(f1003,plain,
scratc663052034d_n_is = fequal_TPTP_ind,
inference(definition_unfolding,[],[f575,f639]) ).
fof(f1030,plain,
! [X0] :
( ~ pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| pp(scratc1032512005_d_not(X0)) ),
inference(definition_unfolding,[],[f658,f659]) ).
fof(f1031,plain,
! [X0] :
( pp(aa_bool_bool(aa_boo1142376798l_bool(fimplies,X0),fFalse))
| ~ pp(scratc1032512005_d_not(X0)) ),
inference(definition_unfolding,[],[f657,f659]) ).
fof(f1092,plain,
! [X1] : pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X1),X1)),
inference(equality_resolution,[],[f990]) ).
fof(f1093,definition,
sF25 = scratc1445421794all_of(aTP_Lamm_a),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f1094,plain,
scratc1445421794all_of(aTP_Lamm_a) = sF25,
inference(reorient_equations,[],[f1093]) ).
fof(f1095,definition,
sF26 = aa_fun171081125l_bool(sF25,aTP_Lamm_ab),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f1096,plain,
aa_fun171081125l_bool(sF25,aTP_Lamm_ab) = sF26,
inference(reorient_equations,[],[f1095]) ).
fof(f1097,plain,
~ pp(sF26),
inference(definition_folding,[],[f995,f1096,f1094]) ).
fof(f1112,plain,
! [X0,X1] :
( pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ),
inference(forward_demodulation,[],[f573,f1003]) ).
fof(f1113,plain,
! [X0,X1] :
( ~ pp(scratc1032512005_d_not(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ),
inference(forward_demodulation,[],[f574,f1003]) ).
fof(f1132,plain,
! [X0] :
( ~ pp(scratc1032512005_d_not(X0))
| ~ pp(X0)
| pp(fFalse) ),
inference(resolution,[],[f1031,f986]) ).
fof(f1133,plain,
! [X0] :
( ~ pp(scratc1032512005_d_not(X0))
| ~ pp(X0) ),
inference(forward_subsumption_resolution,[],[f1132,f985]) ).
fof(f1144,plain,
! [X0] :
( pp(scratc1032512005_d_not(X0))
| pp(X0) ),
inference(resolution,[],[f1030,f988]) ).
fof(f1145,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1)) ),
inference(resolution,[],[f1144,f1113]) ).
fof(f1147,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)),aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)))
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1)) ),
inference(resolution,[],[f1145,f851]) ).
fof(f1149,plain,
! [X0] :
( gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0)))
| pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0)) ),
inference(resolution,[],[f722,f834]) ).
fof(f1151,plain,
! [X0] :
( pp(aa_fun171081125l_bool(sF25,X0))
| gg_TPTP_ind(sK12(aTP_Lamm_a,X0)) ),
inference(superposition,[],[f722,f1094]) ).
fof(f1154,plain,
( pp(sF26)
| gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)) ),
inference(superposition,[],[f1151,f1096]) ).
fof(f1155,plain,
gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab)),
inference(forward_subsumption_resolution,[],[f1154,f1097]) ).
fof(f1161,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0))
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)) ),
inference(resolution,[],[f1147,f991]) ).
fof(f1162,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1)
| ~ gg_TPTP_ind(aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0)) ),
inference(forward_subsumption_resolution,[],[f1161,f557]) ).
fof(f1163,plain,
! [X0,X1] :
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),X1))
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X1) ),
inference(forward_subsumption_resolution,[],[f1162,f557]) ).
fof(f1166,plain,
! [X0,X1] :
( aa_TPTP_ind_bool(X0,X1) = fTrue
| aa_TPTP_ind_bool(X0,X1) = fFalse ),
inference(resolution,[],[f984,f556]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ pp(fTrue)
| pp(aa_fun171081125l_bool(scratc1445421794all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(superposition,[],[f724,f1166]) ).
fof(f1301,plain,
! [X0,X1] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X1),X0))
| fFalse = aa_TPTP_ind_bool(X0,sK12(X1,X0)) ),
inference(forward_subsumption_resolution,[],[f1296,f980]) ).
fof(f1313,plain,
! [X0] :
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,X0))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,X0),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,X0))) ),
inference(resolution,[],[f1301,f834]) ).
fof(f1318,plain,
! [X0] :
( pp(aa_fun171081125l_bool(scratc1445421794all_of(X0),aTP_Lamm_ab))
| fFalse = aa_TPTP_ind_bool(aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(X0,aTP_Lamm_ab)))) ),
inference(resolution,[],[f1313,f724]) ).
fof(f1434,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| fFalse = 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)))) ),
inference(superposition,[],[f1318,f1094]) ).
fof(f1436,plain,
( pp(sF26)
| fFalse = 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)))) ),
inference(forward_demodulation,[],[f1434,f1096]) ).
fof(f1437,plain,
fFalse = 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)))),
inference(forward_subsumption_resolution,[],[f1436,f1097]) ).
fof(f1439,plain,
( pp(fFalse)
| aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
inference(superposition,[],[f1163,f1437]) ).
fof(f1441,plain,
( pp(fFalse)
| pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))) ),
inference(superposition,[],[f850,f1437]) ).
fof(f1448,plain,
pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))),
inference(forward_subsumption_resolution,[],[f1441,f985]) ).
fof(f1450,plain,
aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab)) = aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))),
inference(forward_subsumption_resolution,[],[f1439,f985]) ).
fof(f1460,definition,
( spl27_13
<=> gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))) ),
introduced(definition,[new_symbols(definition,[spl27_13])],[avatar_definition]) ).
fof(f1462,plain,
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| spl27_13 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1465,definition,
( spl27_14
<=> pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab))) ),
introduced(definition,[new_symbols(definition,[spl27_14])],[avatar_definition]) ).
fof(f1466,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_14 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1471,plain,
! [X0] :
( aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0
| ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))))
| ~ gg_TPTP_ind(X0) ),
inference(superposition,[],[f787,f1450]) ).
fof(f1491,definition,
( spl27_17
<=> ! [X0] :
( aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ gg_TPTP_ind(X0)
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0 ) ),
introduced(definition,[new_symbols(definition,[spl27_17])],[avatar_definition]) ).
fof(f1492,plain,
( ! [X0] :
( aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,X0) != aa_TPTP_ind_TPTP_ind(scratc528047725rdsucc,sK12(aTP_Lamm_a,aTP_Lamm_ab))
| ~ gg_TPTP_ind(X0)
| sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab))) = X0 )
| ~ spl27_17 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1494,plain,
( ~ spl27_13
| spl27_17 ),
inference(avatar_split_clause,[],[f1471,f1491,f1460]) ).
fof(f1501,plain,
( pp(aa_TPTP_ind_bool(aTP_Lamm_ab,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| spl27_13 ),
inference(resolution,[],[f1462,f1149]) ).
fof(f1502,plain,
( spl27_14
| spl27_13 ),
inference(avatar_split_clause,[],[f1501,f1460,f1465]) ).
fof(f1503,plain,
( pp(aa_fun171081125l_bool(scratc1445421794all_of(aTP_Lamm_a),aTP_Lamm_ab))
| ~ spl27_14 ),
inference(resolution,[],[f1466,f724]) ).
fof(f1506,plain,
( pp(aa_fun171081125l_bool(sF25,aTP_Lamm_ab))
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1503,f1094]) ).
fof(f1507,plain,
( pp(sF26)
| ~ spl27_14 ),
inference(forward_demodulation,[],[f1506,f1096]) ).
fof(f1508,plain,
( $false
| ~ spl27_14 ),
inference(forward_subsumption_resolution,[],[f1507,f1097]) ).
fof(f1509,plain,
~ spl27_14,
inference(avatar_contradiction_clause,[],[f1508]) ).
fof(f1565,plain,
! [X0,X1] :
( ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(fequal_TPTP_ind,X0),X1))
| ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X1)) ),
inference(resolution,[],[f1112,f1133]) ).
fof(f1569,plain,
! [X0] : ~ pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,X0),X0)),
inference(resolution,[],[f1565,f1092]) ).
fof(f1598,plain,
( ~ gg_TPTP_ind(sK12(aTP_Lamm_a,aTP_Lamm_ab))
| sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_17 ),
inference(equality_resolution,[],[f1492]) ).
fof(f1599,plain,
( sK12(aTP_Lamm_a,aTP_Lamm_ab) = sK12(aTP_Lamm_a,aa_TPT43085870d_bool(aTP_Lamm_aa,sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_17 ),
inference(forward_subsumption_resolution,[],[f1598,f1155]) ).
fof(f1601,plain,
( pp(aa_TPTP_ind_bool(aa_TPT43085870d_bool(scratc52110146nd_nis,sK12(aTP_Lamm_a,aTP_Lamm_ab)),sK12(aTP_Lamm_a,aTP_Lamm_ab)))
| ~ spl27_17 ),
inference(superposition,[],[f1448,f1599]) ).
fof(f1625,plain,
( $false
| ~ spl27_17 ),
inference(forward_subsumption_resolution,[],[f1601,f1569]) ).
fof(f1626,plain,
~ spl27_17,
inference(avatar_contradiction_clause,[],[f1625]) ).
cnf(s11,plain,
( ~ spl27_13
| spl27_17 ),
inference(sat_conversion,[],[f1494]) ).
cnf(s12,plain,
( spl27_13
| spl27_14 ),
inference(sat_conversion,[],[f1502]) ).
cnf(s13,plain,
~ spl27_14,
inference(sat_conversion,[],[f1509]) ).
cnf(s15,plain,
~ spl27_17,
inference(sat_conversion,[],[f1626]) ).
cnf(s18,plain,
spl27_13,
inference(rat,[],[s12,s13]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s11,s15,s18]) ).
fof(f1631,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM635+4 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 20:51:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 9.11/2.14 % (1148339)Detected formulas, will run a generic FOF schedule.
% 9.11/2.14 % (1148347)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=838147816:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.11/2.14 % (1148347)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148347)------------------------------
% 9.11/2.14 % (1148347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148347)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148347)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148347)Time elapsed: 0.001 s
% 9.11/2.14 % (1148347)Peak memory usage: 87 MB
% 9.11/2.14 % (1148347)Instructions burned: 1 (million)
% 9.11/2.14 % (1148345)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=1347381401:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.11/2.14 % (1148344)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=395108525:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.11/2.14 % (1148346)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=2253712305:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.11/2.14 % (1148350)dis-21_1_sil=8000:lcm=predicate:random_seed=1205456900: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)
% 9.11/2.14 % (1148349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=942948289:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.11/2.14 % (1148348)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1023374165:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.11/2.14 % (1148348)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148348)------------------------------
% 9.11/2.14 % (1148348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148348)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148348)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148348)Time elapsed: 0.003 s
% 9.11/2.14 % (1148348)Peak memory usage: 88 MB
% 9.11/2.14 % (1148348)Instructions burned: 3 (million)
% 9.11/2.14 % (1148350)Instruction limit reached!
% 9.11/2.14 % (1148350)------------------------------
% 9.11/2.14 % (1148350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148350)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148350)Termination reason: Instruction limit
% 9.11/2.14 % (1148350)Termination phase: Saturation
% 9.11/2.14 % (1148350)Time elapsed: 0.080 s
% 9.11/2.14 % (1148350)Peak memory usage: 90 MB
% 9.11/2.14 % (1148350)Instructions burned: 129 (million)
% 9.11/2.14 % (1148347)------------------------------
% 9.11/2.14 % (1148347)------------------------------
% 9.11/2.14 % (1148349)Instruction limit reached!
% 9.11/2.14 % (1148349)------------------------------
% 9.11/2.14 % (1148349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148349)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148349)Termination reason: Instruction limit
% 9.11/2.14 % (1148349)Termination phase: Saturation
% 9.11/2.14 % (1148349)Time elapsed: 0.096 s
% 9.11/2.14 % (1148349)Peak memory usage: 90 MB
% 9.11/2.14 % (1148349)Instructions burned: 140 (million)
% 9.11/2.14 % (1148359)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3926367785:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.11/2.14 % (1148359)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148359)------------------------------
% 9.11/2.14 % (1148359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148359)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148359)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148359)Time elapsed: 0.002 s
% 9.11/2.14 % (1148359)Peak memory usage: 88 MB
% 9.11/2.14 % (1148359)Instructions burned: 4 (million)
% 9.11/2.14 % (1148358)lrs+10_1_sil=8000:sp=occurrence:random_seed=2037311272:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.11/2.14 % (1148348)------------------------------
% 9.11/2.14 % (1148348)------------------------------
% 9.11/2.14 % (1148360)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3710094903:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.11/2.14 % (1148360)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148360)------------------------------
% 9.11/2.14 % (1148360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148360)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148360)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148360)Time elapsed: 0.005 s
% 9.11/2.14 % (1148360)Peak memory usage: 89 MB
% 9.11/2.14 % (1148360)Instructions burned: 5 (million)
% 9.11/2.14 % (1148359)------------------------------
% 9.11/2.14 % (1148359)------------------------------
% 9.11/2.14 % (1148358)Instruction limit reached!
% 9.11/2.14 % (1148358)------------------------------
% 9.11/2.14 % (1148358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148358)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148358)Termination reason: Instruction limit
% 9.11/2.14 % (1148358)Termination phase: Saturation
% 9.11/2.14 % (1148358)Time elapsed: 0.129 s
% 9.11/2.14 % (1148358)Peak memory usage: 89 MB
% 9.11/2.14 % (1148358)Instructions burned: 286 (million)
% 9.11/2.14 % (1148363)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=463516026:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.11/2.14 % (1148365)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2287890309:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 9.11/2.14 % (1148365)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148365)------------------------------
% 9.11/2.14 % (1148365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148365)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148365)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148365)Time elapsed: 0.003 s
% 9.11/2.14 % (1148365)Peak memory usage: 88 MB
% 9.11/2.14 % (1148365)Instructions burned: 5 (million)
% 9.11/2.14 % (1148360)------------------------------
% 9.11/2.14 % (1148360)------------------------------
% 9.11/2.14 % (1148366)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2506841637:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 9.11/2.14 % (1148363)Instruction limit reached!
% 9.11/2.14 % (1148363)------------------------------
% 9.11/2.14 % (1148363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148363)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148363)Termination reason: Instruction limit
% 9.11/2.14 % (1148363)Termination phase: Saturation
% 9.11/2.14 % (1148363)Time elapsed: 0.157 s
% 9.11/2.14 % (1148363)Peak memory usage: 91 MB
% 9.11/2.14 % (1148363)Instructions burned: 248 (million)
% 9.11/2.14 % (1148365)------------------------------
% 9.11/2.14 % (1148365)------------------------------
% 9.11/2.14 % (1148369)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2817735994:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 9.11/2.14 % (1148371)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3885680588:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 9.11/2.14 % (1148372)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1626298055:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 9.11/2.14 % (1148369)Instruction limit reached!
% 9.11/2.14 % (1148369)------------------------------
% 9.11/2.14 % (1148369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148369)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148369)Termination reason: Instruction limit
% 9.11/2.14 % (1148369)Termination phase: Saturation
% 9.11/2.14 % (1148369)Time elapsed: 0.072 s
% 9.11/2.14 % (1148369)Peak memory usage: 90 MB
% 9.11/2.14 % (1148369)Instructions burned: 114 (million)
% 9.11/2.14 % (1148372)Instruction limit reached!
% 9.11/2.14 % (1148372)------------------------------
% 9.11/2.14 % (1148372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148372)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148372)Termination reason: Instruction limit
% 9.11/2.14 % (1148372)Termination phase: Saturation
% 9.11/2.14 % (1148372)Time elapsed: 0.034 s
% 9.11/2.14 % (1148372)Peak memory usage: 89 MB
% 9.11/2.14 % (1148372)Instructions burned: 114 (million)
% 9.11/2.14 % (1148371)Instruction limit reached!
% 9.11/2.14 % (1148371)------------------------------
% 9.11/2.14 % (1148371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148371)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148371)Termination reason: Instruction limit
% 9.11/2.14 % (1148371)Termination phase: Saturation
% 9.11/2.14 % (1148371)Time elapsed: 0.063 s
% 9.11/2.14 % (1148371)Peak memory usage: 89 MB
% 9.11/2.14 % (1148371)Instructions burned: 127 (million)
% 9.11/2.14 % (1148344)First to succeed.
% 9.11/2.14 % (1148344)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1148339"
% 9.11/2.14 % (1148377)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3348911160:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.11/2.14 % (1148377)Refutation not found, incomplete strategy
% 9.11/2.14 % (1148377)------------------------------
% 9.11/2.14 % (1148377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.11/2.14 % (1148377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.11/2.14 % (1148377)CaDiCaL version: 2.1.3
% 9.11/2.14 % (1148377)Termination reason: Refutation not found, incomplete strategy
% 9.11/2.14 % (1148377)Time elapsed: 0.011 s
% 9.11/2.14 % (1148377)Peak memory usage: 89 MB
% 9.11/2.14 % (1148377)Instructions burned: 37 (million)
% 9.11/2.14 % (1148376)lrs+10_1_sil=8000:sp=occurrence:random_seed=1245346352:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 9.11/2.14 % (1148378)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2685502078:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.11/2.14 % (1148377)------------------------------
% 9.11/2.14 % (1148377)------------------------------
% 9.11/2.14 % (1148344)Refutation found. Thanks to Tanya!
% 9.11/2.14 % SZS status Theorem for theBenchmark
% 9.11/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 9.45/2.23 % (1148344)------------------------------
% 9.45/2.23 % (1148344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.45/2.23 % (1148344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.45/2.23 % (1148344)CaDiCaL version: 2.1.3
% 9.45/2.23 % (1148344)Termination reason: Refutation
% 9.45/2.23 % (1148344)Time elapsed: 0.828 s
% 9.45/2.23 % (1148344)Peak memory usage: 136 MB
% 9.45/2.23 % (1148344)Instructions burned: 1266 (million)
% 9.45/2.23 % (1148344)------------------------------
% 9.45/2.23 % (1148344)------------------------------
% 9.45/2.23 % (1148339)Success in time 1.279 s
% 9.45/2.23 % Vampire exiting
%------------------------------------------------------------------------------