TSTP Solution File: ITP076^1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : ITP076^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 09:35:38 EDT 2024
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 37 unt; 0 typ; 0 def)
% Number of atoms : 340 ( 124 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 623 ( 27 ~; 30 |; 20 &; 474 @)
% ( 1 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 56 ( 52 usr; 12 con; 0-3 aty)
% ( 32 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 120 ( 44 ^ 62 !; 14 ?; 120 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
nat: $tType ).
thf(type_def_7,type,
hF_Mirabelle_hf: $tType ).
thf(type_def_8,type,
set_HF_Mirabelle_hf: $tType ).
thf(type_def_9,type,
set_nat: $tType ).
thf(func_def_0,type,
set_HF_Mirabelle_hf: $tType ).
thf(func_def_1,type,
hF_Mirabelle_hf: $tType ).
thf(func_def_2,type,
set_nat: $tType ).
thf(func_def_3,type,
nat: $tType ).
thf(func_def_4,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_5,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(func_def_6,type,
zero_zero_nat: nat ).
thf(func_def_7,type,
hF_Mir818139703ollect: ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_8,type,
hF_Mirabelle_HF: set_HF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_9,type,
hF_Mirabelle_HInter: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_10,type,
hF_Mirabelle_HUnion: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_11,type,
hF_Mir1248913145eplace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_12,type,
hF_Mirabelle_RepFun: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf ) > hF_Mirabelle_hf ).
thf(func_def_13,type,
hF_Mirabelle_Replace: hF_Mirabelle_hf > ( hF_Mirabelle_hf > hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf ).
thf(func_def_14,type,
hF_Mirabelle_hcard: hF_Mirabelle_hf > nat ).
thf(func_def_15,type,
hF_Mirabelle_Abs_hf: nat > hF_Mirabelle_hf ).
thf(func_def_16,type,
hF_Mirabelle_Rep_hf: hF_Mirabelle_hf > nat ).
thf(func_def_17,type,
hF_Mirabelle_hfset: hF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_18,type,
hF_Mirabelle_hfst: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_19,type,
hF_Mir199975595nction: hF_Mirabelle_hf > $o ).
thf(func_def_20,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_21,type,
hF_Mirabelle_hmem: hF_Mirabelle_hf > hF_Mirabelle_hf > $o ).
thf(func_def_22,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_23,type,
hF_Mir434065167lation: hF_Mirabelle_hf > $o ).
thf(func_def_24,type,
hF_Mir1653039215strict: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_25,type,
hF_Mirabelle_hsnd: hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_26,type,
hF_Mir137170979_hpair: hF_Mirabelle_hf > $o ).
thf(func_def_27,type,
inf_in307783154e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_28,type,
inf_inf_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_29,type,
inf_in956532509lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_30,type,
inf_in923488851lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_31,type,
inf_inf_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_32,type,
sup_su1199008216e_hf_o: ( hF_Mirabelle_hf > $o ) > ( hF_Mirabelle_hf > $o ) > hF_Mirabelle_hf > $o ).
thf(func_def_33,type,
sup_sup_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
thf(func_def_34,type,
sup_su638957495lle_hf: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_35,type,
sup_su1790843629lle_hf: set_HF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_36,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(func_def_37,type,
suc: nat > nat ).
thf(func_def_38,type,
top_to22270292e_hf_o: hF_Mirabelle_hf > $o ).
thf(func_def_39,type,
top_top_nat_o: nat > $o ).
thf(func_def_41,type,
top_to489427057lle_hf: set_HF_Mirabelle_hf ).
thf(func_def_42,type,
top_top_set_nat: set_nat ).
thf(func_def_43,type,
collec2046588256lle_hf: ( hF_Mirabelle_hf > $o ) > set_HF_Mirabelle_hf ).
thf(func_def_44,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_45,type,
insert9649339lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > set_HF_Mirabelle_hf ).
thf(func_def_46,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_47,type,
type_d1794767497hf_nat: ( hF_Mirabelle_hf > nat ) > ( nat > hF_Mirabelle_hf ) > set_nat > $o ).
thf(func_def_48,type,
member1367349282lle_hf: hF_Mirabelle_hf > set_HF_Mirabelle_hf > $o ).
thf(func_def_49,type,
member_nat: nat > set_nat > $o ).
thf(func_def_50,type,
r: hF_Mirabelle_hf ).
thf(func_def_51,type,
x: hF_Mirabelle_hf ).
thf(func_def_65,type,
sK0: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_66,type,
sK1: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(func_def_68,type,
sK3: hF_Mirabelle_hf ).
thf(func_def_69,type,
sK4: hF_Mirabelle_hf ).
thf(func_def_70,type,
sK5: hF_Mirabelle_hf ).
thf(f800,plain,
$false,
inference(subsumption_resolution,[],[f799,f763]) ).
thf(f763,plain,
sK3 != sK5,
inference(equality_proxy_clausification,[],[f761]) ).
thf(f761,plain,
( $false
= ( sK3 = sK5 ) ),
inference(binary_proxy_clausification,[],[f760]) ).
thf(f760,plain,
( $false
= ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK5 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = sK5 ) ) ),
inference(beta_eta_normalization,[],[f759]) ).
thf(f759,plain,
( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = Y0 ) )
@ sK5 ) ),
inference(sigma_clausification,[],[f757]) ).
thf(f757,plain,
( $false
= ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = Y0 ) ) ) ),
inference(binary_proxy_clausification,[],[f756]) ).
thf(f756,plain,
( $false
= ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK3 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f755]) ).
thf(f755,plain,
( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ sK3 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = Y1 ) ) ) )
@ sK4 ) ),
inference(sigma_clausification,[],[f754]) ).
thf(f754,plain,
( $false
= ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ sK3 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( sK3 = Y1 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f753]) ).
thf(f753,plain,
( $false
= ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( Y0 = Y2 ) ) ) ) )
@ sK3 ) ),
inference(sigma_clausification,[],[f752]) ).
thf(f752,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ ( hF_Mir1653039215strict @ r @ x ) )
=> ( Y0 = Y2 ) ) ) ) ) )
!= $true ),
inference(beta_eta_normalization,[],[f739]) ).
thf(f739,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) )
@ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(definition_unfolding,[],[f732,f731]) ).
thf(f731,plain,
( hF_Mir199975595nction
= ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f442]) ).
thf(f442,plain,
( hF_Mir199975595nction
= ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f441]) ).
thf(f441,plain,
( ( ^ [X0: hF_Mirabelle_hf] :
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X2 ) @ X0 )
=> ! [X3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X1 @ X3 ) @ X0 )
=> ( X2 = X3 ) ) ) )
= hF_Mir199975595nction ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( ( ^ [X2: hF_Mirabelle_hf] :
! [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X3 @ X4 ) @ X2 )
=> ! [X5: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X3 @ X5 ) @ X2 )
=> ( X4 = X5 ) ) ) )
= hF_Mir199975595nction ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_hfunction__def) ).
thf(f732,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(cnf_transformation,[],[f725]) ).
thf(f725,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(flattening,[],[f446]) ).
thf(f446,plain,
( ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) )
!= $true ),
inference(fool_elimination,[],[f445]) ).
thf(f445,plain,
~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
inference(rectify,[],[f357]) ).
thf(f357,negated_conjecture,
~ ( hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ) ),
inference(negated_conjecture,[],[f356]) ).
thf(f356,conjecture,
hF_Mir199975595nction @ ( hF_Mir1653039215strict @ r @ x ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f799,plain,
sK3 = sK5,
inference(trivial_inequality_removal,[],[f795]) ).
thf(f795,plain,
( ( $false = $true )
| ( sK3 = sK5 ) ),
inference(superposition,[],[f781,f771]) ).
thf(f771,plain,
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK5 ) @ r )
= $true ),
inference(trivial_inequality_removal,[],[f769]) ).
thf(f769,plain,
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK5 ) @ r )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f734,f762]) ).
thf(f762,plain,
( $true
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK5 ) @ ( hF_Mir1653039215strict @ r @ x ) ) ),
inference(binary_proxy_clausification,[],[f760]) ).
thf(f734,plain,
! [X2: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
!= $true )
| ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f730]) ).
thf(f730,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
= $true )
| ! [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
!= $true )
| ( ( hF_Mirabelle_hpair @ X4 @ X3 )
!= X2 ) )
| ( ( hF_Mirabelle_hmem @ X2 @ X1 )
!= $true ) )
& ( ( ( $true
= ( hF_Mirabelle_hmem @ ( sK1 @ X2 @ X0 ) @ X0 ) )
& ( ( hF_Mirabelle_hpair @ ( sK1 @ X2 @ X0 ) @ ( sK0 @ X2 @ X0 ) )
= X2 )
& ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) )
| ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f728,f729]) ).
thf(f729,plain,
! [X0: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ? [X5: hF_Mirabelle_hf,X6: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X6 @ X0 )
= $true )
& ( ( hF_Mirabelle_hpair @ X6 @ X5 )
= X2 ) )
=> ( ( $true
= ( hF_Mirabelle_hmem @ ( sK1 @ X2 @ X0 ) @ X0 ) )
& ( ( hF_Mirabelle_hpair @ ( sK1 @ X2 @ X0 ) @ ( sK0 @ X2 @ X0 ) )
= X2 ) ) ),
introduced(choice_axiom,[]) ).
thf(f728,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
= $true )
| ! [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
!= $true )
| ( ( hF_Mirabelle_hpair @ X4 @ X3 )
!= X2 ) )
| ( ( hF_Mirabelle_hmem @ X2 @ X1 )
!= $true ) )
& ( ( ? [X5: hF_Mirabelle_hf,X6: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X6 @ X0 )
= $true )
& ( ( hF_Mirabelle_hpair @ X6 @ X5 )
= X2 ) )
& ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) )
| ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
!= $true ) ) ),
inference(rectify,[],[f727]) ).
thf(f727,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
= $true )
| ! [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
!= $true )
| ( ( hF_Mirabelle_hpair @ X4 @ X3 )
!= X2 ) )
| ( ( hF_Mirabelle_hmem @ X2 @ X1 )
!= $true ) )
& ( ( ? [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
= $true )
& ( ( hF_Mirabelle_hpair @ X4 @ X3 )
= X2 ) )
& ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) )
| ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
!= $true ) ) ),
inference(flattening,[],[f726]) ).
thf(f726,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
= $true )
| ! [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
!= $true )
| ( ( hF_Mirabelle_hpair @ X4 @ X3 )
!= X2 ) )
| ( ( hF_Mirabelle_hmem @ X2 @ X1 )
!= $true ) )
& ( ( ? [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
= $true )
& ( ( hF_Mirabelle_hpair @ X4 @ X3 )
= X2 ) )
& ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) )
| ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
!= $true ) ) ),
inference(nnf_transformation,[],[f582]) ).
thf(f582,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) )
= $true )
<=> ( ? [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
= $true )
& ( ( hF_Mirabelle_hpair @ X4 @ X3 )
= X2 ) )
& ( ( hF_Mirabelle_hmem @ X2 @ X1 )
= $true ) ) ),
inference(fool_elimination,[],[f581]) ).
thf(f581,plain,
! [X0: hF_Mirabelle_hf,X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X2 @ X1 )
& ? [X3: hF_Mirabelle_hf,X4: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X4 @ X0 )
& ( ( hF_Mirabelle_hpair @ X4 @ X3 )
= X2 ) )
= ( hF_Mirabelle_hmem @ X2 @ ( hF_Mir1653039215strict @ X1 @ X0 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X7: hF_Mirabelle_hf,X0: hF_Mirabelle_hf,X6: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ X6 @ X0 )
& ? [X4: hF_Mirabelle_hf,X3: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ X3 @ X7 )
& ( ( hF_Mirabelle_hpair @ X3 @ X4 )
= X6 ) )
= ( hF_Mirabelle_hmem @ X6 @ ( hF_Mir1653039215strict @ X0 @ X7 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_hrestrict__iff) ).
thf(f781,plain,
! [X0: hF_Mirabelle_hf] :
( ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ X0 ) @ r ) )
| ( sK3 = X0 ) ),
inference(trivial_inequality_removal,[],[f772]) ).
thf(f772,plain,
! [X0: hF_Mirabelle_hf] :
( ( sK3 = X0 )
| ( $false = $true )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ X0 ) @ r ) ) ),
inference(superposition,[],[f751,f765]) ).
thf(f765,plain,
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK3 ) @ r )
= $true ),
inference(trivial_inequality_removal,[],[f764]) ).
thf(f764,plain,
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK3 ) @ r )
= $true )
| ( $true != $true ) ),
inference(superposition,[],[f734,f758]) ).
thf(f758,plain,
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ sK4 @ sK3 ) @ ( hF_Mir1653039215strict @ r @ x ) )
= $true ),
inference(binary_proxy_clausification,[],[f756]) ).
thf(f751,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( X1 = X3 )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r ) )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r ) ) ),
inference(equality_proxy_clausification,[],[f750]) ).
thf(f750,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( X1 = X3 )
= $true )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r ) )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r ) ) ),
inference(binary_proxy_clausification,[],[f749]) ).
thf(f749,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( $true
= ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X3 ) @ r )
=> ( X1 = X3 ) ) )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r ) ) ),
inference(beta_eta_normalization,[],[f748]) ).
thf(f748,plain,
! [X2: hF_Mirabelle_hf,X3: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r ) )
| ( $true
= ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) )
@ X3 ) ) ),
inference(pi_clausification,[],[f747]) ).
thf(f747,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) ) )
= $true )
| ( $false
= ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r ) ) ),
inference(binary_proxy_clausification,[],[f746]) ).
thf(f746,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ X2 @ Y0 ) @ r )
=> ( X1 = Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f745]) ).
thf(f745,plain,
! [X2: hF_Mirabelle_hf,X1: hF_Mirabelle_hf] :
( ( ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ r )
=> ( X1 = Y1 ) ) ) )
@ X2 )
= $true ),
inference(pi_clausification,[],[f744]) ).
thf(f744,plain,
! [X1: hF_Mirabelle_hf] :
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ X1 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y0 @ Y1 ) @ r )
=> ( X1 = Y1 ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f743]) ).
thf(f743,plain,
! [X1: hF_Mirabelle_hf] :
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ r )
=> ( Y0 = Y2 ) ) ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[],[f742]) ).
thf(f742,plain,
( ( !! @ hF_Mirabelle_hf
@ ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y0 ) @ r )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y1 @ Y2 ) @ r )
=> ( Y0 = Y2 ) ) ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f740]) ).
thf(f740,plain,
( ( ^ [Y0: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y1: hF_Mirabelle_hf] :
( !! @ hF_Mirabelle_hf
@ ^ [Y2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y1 ) @ Y0 )
=> ( !! @ hF_Mirabelle_hf
@ ^ [Y3: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hmem @ ( hF_Mirabelle_hpair @ Y2 @ Y3 ) @ Y0 )
=> ( Y1 = Y3 ) ) ) ) ) )
@ r )
= $true ),
inference(definition_unfolding,[],[f738,f731]) ).
thf(f738,plain,
( ( hF_Mir199975595nction @ r )
= $true ),
inference(cnf_transformation,[],[f536]) ).
thf(f536,plain,
( ( hF_Mir199975595nction @ r )
= $true ),
inference(fool_elimination,[],[f535]) ).
thf(f535,plain,
hF_Mir199975595nction @ r,
inference(rectify,[],[f355]) ).
thf(f355,axiom,
hF_Mir199975595nction @ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ITP076^1 : TPTP v8.2.0. Released v7.5.0.
% 0.06/0.11 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n032.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Jun 18 23:14:39 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 This is a TH0_THM_EQU_NAR problem
% 0.11/0.34 Running higher-order theorem proving
% 0.11/0.34 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.11/0.36 % (31501)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.11/0.37 % (31500)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.11/0.37 % (31496)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.11/0.37 % (31498)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37 % (31495)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.11/0.37 % (31499)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.11/0.37 % (31497)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.11/0.37 % (31498)Instruction limit reached!
% 0.11/0.37 % (31498)------------------------------
% 0.11/0.37 % (31498)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (31498)Termination reason: Unknown
% 0.11/0.37 % (31498)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (31498)Memory used [KB]: 1407
% 0.11/0.37 % (31498)Time elapsed: 0.004 s
% 0.11/0.37 % (31498)Instructions burned: 3 (million)
% 0.11/0.37 % (31498)------------------------------
% 0.11/0.37 % (31498)------------------------------
% 0.11/0.37 % (31499)Instruction limit reached!
% 0.11/0.37 % (31499)------------------------------
% 0.11/0.37 % (31499)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (31499)Termination reason: Unknown
% 0.11/0.37 % (31499)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (31499)Memory used [KB]: 1407
% 0.11/0.37 % (31499)Time elapsed: 0.003 s
% 0.11/0.37 % (31499)Instructions burned: 2 (million)
% 0.11/0.37 % (31499)------------------------------
% 0.11/0.37 % (31499)------------------------------
% 0.11/0.37 % (31496)Instruction limit reached!
% 0.11/0.37 % (31496)------------------------------
% 0.11/0.37 % (31496)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (31496)Termination reason: Unknown
% 0.11/0.37 % (31496)Termination phase: shuffling
% 0.11/0.37
% 0.11/0.37 % (31496)Memory used [KB]: 1407
% 0.11/0.37 % (31496)Time elapsed: 0.004 s
% 0.11/0.37 % (31496)Instructions burned: 5 (million)
% 0.11/0.37 % (31496)------------------------------
% 0.11/0.37 % (31496)------------------------------
% 0.11/0.37 % (31501)Instruction limit reached!
% 0.11/0.37 % (31501)------------------------------
% 0.11/0.37 % (31501)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.11/0.37 % (31501)Termination reason: Unknown
% 0.11/0.37 % (31501)Termination phase: Property scanning
% 0.11/0.37
% 0.11/0.37 % (31501)Memory used [KB]: 1535
% 0.11/0.37 % (31501)Time elapsed: 0.010 s
% 0.11/0.37 % (31501)Instructions burned: 20 (million)
% 0.11/0.37 % (31501)------------------------------
% 0.11/0.37 % (31501)------------------------------
% 0.18/0.38 % (31497)Instruction limit reached!
% 0.18/0.38 % (31497)------------------------------
% 0.18/0.38 % (31497)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.38 % (31497)Termination reason: Unknown
% 0.18/0.38 % (31497)Termination phase: Preprocessing 1
% 0.18/0.38
% 0.18/0.38 % (31497)Memory used [KB]: 1663
% 0.18/0.38 % (31497)Time elapsed: 0.015 s
% 0.18/0.38 % (31497)Instructions burned: 27 (million)
% 0.18/0.38 % (31497)------------------------------
% 0.18/0.38 % (31497)------------------------------
% 0.18/0.38 % (31502)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.38 % (31503)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.38 % (31504)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.38 % (31500)Refutation not found, incomplete strategy
% 0.18/0.38 % (31500)------------------------------
% 0.18/0.38 % (31500)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.38 % (31500)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.38
% 0.18/0.38
% 0.18/0.38 % (31500)Memory used [KB]: 6268
% 0.18/0.38 % (31500)Time elapsed: 0.018 s
% 0.18/0.38 % (31500)Instructions burned: 35 (million)
% 0.18/0.38 % (31500)------------------------------
% 0.18/0.38 % (31500)------------------------------
% 0.18/0.38 % (31502)Instruction limit reached!
% 0.18/0.38 % (31502)------------------------------
% 0.18/0.38 % (31502)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.38 % (31502)Termination reason: Unknown
% 0.18/0.38 % (31502)Termination phase: shuffling
% 0.18/0.38
% 0.18/0.38 % (31502)Memory used [KB]: 1407
% 0.18/0.38 % (31502)Time elapsed: 0.004 s
% 0.18/0.38 % (31502)Instructions burned: 4 (million)
% 0.18/0.38 % (31502)------------------------------
% 0.18/0.38 % (31502)------------------------------
% 0.18/0.38 % (31505)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.39 % (31505)Instruction limit reached!
% 0.18/0.39 % (31505)------------------------------
% 0.18/0.39 % (31505)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (31505)Termination reason: Unknown
% 0.18/0.39 % (31505)Termination phase: shuffling
% 0.18/0.39
% 0.18/0.39 % (31505)Memory used [KB]: 1407
% 0.18/0.39 % (31505)Time elapsed: 0.004 s
% 0.18/0.39 % (31505)Instructions burned: 5 (million)
% 0.18/0.39 % (31505)------------------------------
% 0.18/0.39 % (31505)------------------------------
% 0.18/0.39 % (31504)Instruction limit reached!
% 0.18/0.39 % (31504)------------------------------
% 0.18/0.39 % (31504)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.39 % (31504)Termination reason: Unknown
% 0.18/0.39 % (31504)Termination phase: Property scanning
% 0.18/0.39
% 0.18/0.39 % (31504)Memory used [KB]: 1535
% 0.18/0.39 % (31504)Time elapsed: 0.009 s
% 0.18/0.39 % (31504)Instructions burned: 16 (million)
% 0.18/0.39 % (31504)------------------------------
% 0.18/0.39 % (31504)------------------------------
% 0.18/0.39 % (31506)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.18/0.39 % (31508)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.18/0.39 % (31507)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.39 % (31509)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.40 % (31503)Instruction limit reached!
% 0.18/0.40 % (31503)------------------------------
% 0.18/0.40 % (31503)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (31503)Termination reason: Unknown
% 0.18/0.40 % (31503)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (31503)Memory used [KB]: 2174
% 0.18/0.40 % (31503)Time elapsed: 0.017 s
% 0.18/0.40 % (31503)Instructions burned: 39 (million)
% 0.18/0.40 % (31503)------------------------------
% 0.18/0.40 % (31503)------------------------------
% 0.18/0.40 % (31509)Instruction limit reached!
% 0.18/0.40 % (31509)------------------------------
% 0.18/0.40 % (31509)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (31509)Termination reason: Unknown
% 0.18/0.40 % (31509)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (31509)Memory used [KB]: 1407
% 0.18/0.40 % (31509)Time elapsed: 0.003 s
% 0.18/0.40 % (31509)Instructions burned: 4 (million)
% 0.18/0.40 % (31509)------------------------------
% 0.18/0.40 % (31509)------------------------------
% 0.18/0.40 % (31507)Instruction limit reached!
% 0.18/0.40 % (31507)------------------------------
% 0.18/0.40 % (31507)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (31507)Termination reason: Unknown
% 0.18/0.40 % (31507)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (31507)Memory used [KB]: 1407
% 0.18/0.40 % (31507)Time elapsed: 0.005 s
% 0.18/0.40 % (31507)Instructions burned: 7 (million)
% 0.18/0.40 % (31507)------------------------------
% 0.18/0.40 % (31507)------------------------------
% 0.18/0.40 % (31510)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.40 % (31508)Instruction limit reached!
% 0.18/0.40 % (31508)------------------------------
% 0.18/0.40 % (31508)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (31508)Termination reason: Unknown
% 0.18/0.40 % (31508)Termination phase: Property scanning
% 0.18/0.40
% 0.18/0.40 % (31508)Memory used [KB]: 1535
% 0.18/0.40 % (31508)Time elapsed: 0.008 s
% 0.18/0.40 % (31508)Instructions burned: 17 (million)
% 0.18/0.40 % (31508)------------------------------
% 0.18/0.40 % (31508)------------------------------
% 0.18/0.40 % (31510)Instruction limit reached!
% 0.18/0.40 % (31510)------------------------------
% 0.18/0.40 % (31510)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.40 % (31510)Termination reason: Unknown
% 0.18/0.40 % (31510)Termination phase: shuffling
% 0.18/0.40
% 0.18/0.40 % (31510)Memory used [KB]: 1407
% 0.18/0.40 % (31510)Time elapsed: 0.003 s
% 0.18/0.40 % (31510)Instructions burned: 4 (million)
% 0.18/0.40 % (31510)------------------------------
% 0.18/0.40 % (31510)------------------------------
% 0.18/0.41 % (31511)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.41 % (31512)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.41 % (31513)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.41 % (31512)Instruction limit reached!
% 0.18/0.41 % (31512)------------------------------
% 0.18/0.41 % (31512)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (31512)Termination reason: Unknown
% 0.18/0.41 % (31512)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (31512)Memory used [KB]: 1407
% 0.18/0.41 % (31512)Time elapsed: 0.003 s
% 0.18/0.41 % (31512)Instructions burned: 5 (million)
% 0.18/0.41 % (31512)------------------------------
% 0.18/0.41 % (31512)------------------------------
% 0.18/0.41 % (31513)Instruction limit reached!
% 0.18/0.41 % (31513)------------------------------
% 0.18/0.41 % (31513)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (31513)Termination reason: Unknown
% 0.18/0.41 % (31513)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (31513)Memory used [KB]: 1407
% 0.18/0.41 % (31513)Time elapsed: 0.004 s
% 0.18/0.41 % (31513)Instructions burned: 5 (million)
% 0.18/0.41 % (31513)------------------------------
% 0.18/0.41 % (31513)------------------------------
% 0.18/0.41 % (31511)Instruction limit reached!
% 0.18/0.41 % (31511)------------------------------
% 0.18/0.41 % (31511)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.41 % (31511)Termination reason: Unknown
% 0.18/0.41 % (31511)Termination phase: shuffling
% 0.18/0.41
% 0.18/0.41 % (31511)Memory used [KB]: 1535
% 0.18/0.41 % (31511)Time elapsed: 0.005 s
% 0.18/0.41 % (31511)Instructions burned: 9 (million)
% 0.18/0.41 % (31511)------------------------------
% 0.18/0.41 % (31511)------------------------------
% 0.18/0.41 % (31514)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.18/0.41 % (31515)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.18/0.42 % (31516)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.42 % (31514)Instruction limit reached!
% 0.18/0.42 % (31514)------------------------------
% 0.18/0.42 % (31514)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (31514)Termination reason: Unknown
% 0.18/0.42 % (31514)Termination phase: Property scanning
% 0.18/0.42
% 0.18/0.42 % (31514)Memory used [KB]: 1535
% 0.18/0.42 % (31514)Time elapsed: 0.009 s
% 0.18/0.42 % (31514)Instructions burned: 20 (million)
% 0.18/0.42 % (31514)------------------------------
% 0.18/0.42 % (31514)------------------------------
% 0.18/0.42 % (31517)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.18/0.42 % (31516)Instruction limit reached!
% 0.18/0.42 % (31516)------------------------------
% 0.18/0.42 % (31516)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.42 % (31516)Termination reason: Unknown
% 0.18/0.42 % (31516)Termination phase: shuffling
% 0.18/0.42
% 0.18/0.42 % (31516)Memory used [KB]: 1407
% 0.18/0.42 % (31516)Time elapsed: 0.004 s
% 0.18/0.42 % (31516)Instructions burned: 6 (million)
% 0.18/0.42 % (31516)------------------------------
% 0.18/0.42 % (31516)------------------------------
% 0.18/0.42 % (31518)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.42 % (31515)First to succeed.
% 0.18/0.43 % (31515)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Theorem for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.43 % (31515)------------------------------
% 0.18/0.43 % (31515)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.18/0.43 % (31515)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (31515)Memory used [KB]: 6268
% 0.18/0.43 % (31515)Time elapsed: 0.016 s
% 0.18/0.43 % (31515)Instructions burned: 35 (million)
% 0.18/0.43 % (31515)------------------------------
% 0.18/0.43 % (31515)------------------------------
% 0.18/0.43 % (31494)Success in time 0.077 s
%------------------------------------------------------------------------------