TSTP Solution File: ITP111^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP111^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 May 20 22:33:42 EDT 2024
% Result : Theorem 4.66s 1.09s
% Output : Refutation 4.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 44
% Syntax : Number of formulae : 222 ( 38 unt; 30 typ; 0 def)
% Number of atoms : 1693 ( 352 equ; 0 cnn)
% Maximal formula atoms : 7 ( 8 avg)
% Number of connectives : 3240 ( 242 ~; 321 |; 196 &;2027 @)
% ( 6 <=>; 211 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 30 usr; 18 con; 0-2 aty)
% ( 158 !!; 79 ??; 0 @@+; 0 @@-)
% Number of variables : 311 ( 247 ^ 54 !; 9 ?; 311 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
extended_ereal: $tType ).
thf(type_def_7,type,
a: $tType ).
thf(type_def_8,type,
set_a: $tType ).
thf(func_def_0,type,
extended_ereal: $tType ).
thf(func_def_1,type,
set_a: $tType ).
thf(func_def_2,type,
a: $tType ).
thf(func_def_3,type,
extend1289208545_ereal: extended_ereal ).
thf(func_def_4,type,
extended_MInfty: extended_ereal ).
thf(func_def_5,type,
extended_PInfty: extended_ereal ).
thf(func_def_6,type,
times_1966848393_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_7,type,
uminus1208298309_ereal: extended_ereal > extended_ereal ).
thf(func_def_8,type,
zero_z163181189_ereal: extended_ereal ).
thf(func_def_9,type,
lower_191460856_ereal: a > ( a > extended_ereal ) > $o ).
thf(func_def_10,type,
ord_le2001149050_ereal: extended_ereal > extended_ereal > $o ).
thf(func_def_11,type,
divide595620860_ereal: extended_ereal > extended_ereal > extended_ereal ).
thf(func_def_12,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_13,type,
topolo1276428101open_a: set_a > $o ).
thf(func_def_14,type,
member_a: a > set_a > $o ).
thf(func_def_15,type,
f: a > extended_ereal ).
thf(func_def_16,type,
x0: a ).
thf(func_def_35,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
sK2: extended_ereal > set_a ).
thf(func_def_37,type,
sK3: extended_ereal > extended_ereal ).
thf(func_def_38,type,
sK4: extended_ereal ).
thf(func_def_39,type,
sK5: set_a > a ).
thf(func_def_40,type,
sK6: extended_ereal ).
thf(func_def_41,type,
sK7: set_a > a ).
thf(func_def_42,type,
sK8: extended_ereal > extended_ereal ).
thf(func_def_43,type,
sK9: extended_ereal > set_a ).
thf(func_def_44,type,
sK10: extended_ereal ).
thf(f996,plain,
$false,
inference(avatar_sat_refutation,[],[f565,f665,f721,f731,f862,f937,f948,f956,f988,f995]) ).
thf(f995,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f994]) ).
thf(f994,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f993]) ).
thf(f993,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f992,f564]) ).
thf(f564,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f562]) ).
thf(f562,plain,
( spl0_2
<=> ( ( lower_191460856_ereal @ x0 @ f )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
thf(f992,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f991]) ).
thf(f991,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( $true = $false )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f534,f560]) ).
thf(f560,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f558]) ).
thf(f558,plain,
( spl0_1
<=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
thf(f534,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true ) ),
inference(not_proxy_clausification,[],[f531]) ).
thf(f531,plain,
( ( $false
= ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true ) ),
inference(binary_proxy_clausification,[],[f530]) ).
thf(f530,plain,
( ( lower_191460856_ereal @ x0 @ f )
= ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ),
inference(equality_proxy_clausification,[],[f513]) ).
thf(f513,plain,
( $true
= ( ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ),
inference(boolean_simplification,[],[f473]) ).
thf(f473,plain,
( $true
= ( ~ ( ( ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
!= ( lower_191460856_ereal @ x0 @ f ) ) ) ) ),
inference(cnf_transformation,[],[f234]) ).
thf(f234,plain,
( $true
= ( ~ ( ( ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
!= ( lower_191460856_ereal @ x0 @ f ) ) ) ) ),
inference(fool_elimination,[],[f233]) ).
thf(f233,plain,
~ ~ ! [X0: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) ) ) )
!= ( lower_191460856_ereal @ x0 @ f ) ),
inference(rectify,[],[f122]) ).
thf(f122,negated_conjecture,
~ ~ ! [X0: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) ) ) )
!= ( lower_191460856_ereal @ x0 @ f ) ),
inference(negated_conjecture,[],[f121]) ).
thf(f121,conjecture,
~ ! [X0: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) ) ) )
!= ( lower_191460856_ereal @ x0 @ f ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f988,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f987]) ).
thf(f987,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f986]) ).
thf(f986,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(boolean_simplification,[],[f985]) ).
thf(f985,plain,
( ( ( $false
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK10 @ ( f @ Y1 ) ) ) )
& ( member_a @ x0 @ Y0 ) ) ) )
= $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f984,f730]) ).
thf(f730,plain,
! [X1: extended_ereal] :
( ( ord_le2001149050_ereal @ X1 @ extended_MInfty )
= $false ),
inference(not_proxy_clausification,[],[f729]) ).
thf(f729,plain,
! [X1: extended_ereal] :
( $true
= ( ~ ( ord_le2001149050_ereal @ X1 @ extended_MInfty ) ) ),
inference(forward_demodulation,[],[f728,f475]) ).
thf(f475,plain,
( extended_MInfty
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) ),
inference(definition_unfolding,[],[f354,f405]) ).
thf(f405,plain,
( extended_PInfty
= ( uminus1208298309_ereal @ extended_MInfty ) ),
inference(cnf_transformation,[],[f298]) ).
thf(f298,plain,
( extended_PInfty
= ( uminus1208298309_ereal @ extended_MInfty ) ),
inference(fool_elimination,[],[f41]) ).
thf(f41,axiom,
( extended_PInfty
= ( uminus1208298309_ereal @ extended_MInfty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_uminus__ereal_Osimps_I3_J) ).
thf(f354,plain,
( extended_MInfty
= ( uminus1208298309_ereal @ extended_PInfty ) ),
inference(cnf_transformation,[],[f128]) ).
thf(f128,plain,
( extended_MInfty
= ( uminus1208298309_ereal @ extended_PInfty ) ),
inference(fool_elimination,[],[f40]) ).
thf(f40,axiom,
( extended_MInfty
= ( uminus1208298309_ereal @ extended_PInfty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_uminus__ereal_Osimps_I2_J) ).
thf(f728,plain,
! [X1: extended_ereal] :
( $true
= ( ~ ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) ) ) ),
inference(beta_eta_normalization,[],[f727]) ).
thf(f727,plain,
! [X1: extended_ereal] :
( $true
= ( ^ [Y0: extended_ereal] :
~ ( ord_le2001149050_ereal @ Y0 @ ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f485]) ).
thf(f485,plain,
( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
~ ( ord_le2001149050_ereal @ Y0 @ ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) ) ) ),
inference(definition_unfolding,[],[f392,f474]) ).
thf(f474,plain,
( extend1289208545_ereal
= ( uminus1208298309_ereal @ extended_MInfty ) ),
inference(definition_unfolding,[],[f465,f405]) ).
thf(f465,plain,
extend1289208545_ereal = extended_PInfty,
inference(cnf_transformation,[],[f167]) ).
thf(f167,plain,
extend1289208545_ereal = extended_PInfty,
inference(fool_elimination,[],[f50]) ).
thf(f50,axiom,
extend1289208545_ereal = extended_PInfty,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_infinity__ereal__def) ).
thf(f392,plain,
( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
~ ( ord_le2001149050_ereal @ Y0 @ ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ) ),
inference(cnf_transformation,[],[f216]) ).
thf(f216,plain,
( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
~ ( ord_le2001149050_ereal @ Y0 @ ( uminus1208298309_ereal @ extend1289208545_ereal ) ) ) ),
inference(fool_elimination,[],[f215]) ).
thf(f215,plain,
! [X0: extended_ereal] :
~ ( ord_le2001149050_ereal @ X0 @ ( uminus1208298309_ereal @ extend1289208545_ereal ) ),
inference(rectify,[],[f26]) ).
thf(f26,axiom,
! [X18: extended_ereal] :
~ ( ord_le2001149050_ereal @ X18 @ ( uminus1208298309_ereal @ extend1289208545_ereal ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_less__ereal_Osimps_I3_J) ).
thf(f984,plain,
( ( ( ( ord_le2001149050_ereal @ sK10 @ extended_MInfty )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK10 @ ( f @ Y1 ) ) ) )
& ( member_a @ x0 @ Y0 ) ) ) )
= $false )
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f983,f659]) ).
thf(f659,plain,
( ( ( f @ x0 )
= extended_MInfty )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f658]) ).
thf(f658,plain,
( spl0_3
<=> ( ( f @ x0 )
= extended_MInfty ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
thf(f983,plain,
( ( ( ( ord_le2001149050_ereal @ sK10 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK10 @ ( f @ Y1 ) ) ) )
& ( member_a @ x0 @ Y0 ) ) ) )
= $false )
| ~ spl0_4 ),
inference(beta_eta_normalization,[],[f982]) ).
thf(f982,plain,
( ( ( ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) )
@ sK10 )
= $false )
| ~ spl0_4 ),
inference(sigma_clausification,[],[f664]) ).
thf(f664,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f662]) ).
thf(f662,plain,
( spl0_4
<=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
thf(f956,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f955]) ).
thf(f955,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f954]) ).
thf(f954,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f953,f730]) ).
thf(f953,plain,
( ( $true
= ( ord_le2001149050_ereal @ sK6 @ extended_MInfty ) )
| ~ spl0_1
| ~ spl0_3 ),
inference(backward_demodulation,[],[f952,f659]) ).
thf(f952,plain,
( ( $true
= ( ord_le2001149050_ereal @ sK6 @ ( f @ x0 ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[],[f871]) ).
thf(f871,plain,
( ( ( ( ord_le2001149050_ereal @ sK6 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[],[f870]) ).
thf(f870,plain,
( ( ( ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) )
@ sK6 )
= $false )
| ~ spl0_1 ),
inference(sigma_clausification,[],[f560]) ).
thf(f948,plain,
( ~ spl0_1
| spl0_2
| spl0_3
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f947]) ).
thf(f947,plain,
( $false
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_6 ),
inference(subsumption_resolution,[],[f720,f941]) ).
thf(f941,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(trivial_inequality_removal,[],[f940]) ).
thf(f940,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( $true = $false )
| ~ spl0_1
| spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f939,f560]) ).
thf(f939,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f938,f660]) ).
thf(f660,plain,
( ( ( f @ x0 )
!= extended_MInfty )
| spl0_3 ),
inference(avatar_component_clause,[],[f658]) ).
thf(f938,plain,
( ( ( f @ x0 )
= extended_MInfty )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| spl0_2 ),
inference(subsumption_resolution,[],[f527,f563]) ).
thf(f563,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
!= $false )
| spl0_2 ),
inference(avatar_component_clause,[],[f562]) ).
thf(f527,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( f @ x0 )
= extended_MInfty )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false ) ),
inference(backward_demodulation,[],[f524,f475]) ).
thf(f524,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) ),
inference(equality_proxy_clausification,[],[f523]) ).
thf(f523,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f520]) ).
thf(f520,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( $true
= ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f518]) ).
thf(f518,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true )
| ( $true
= ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) ) ),
inference(not_proxy_clausification,[],[f517]) ).
thf(f517,plain,
( ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true ) ),
inference(equality_proxy_clausification,[],[f516]) ).
thf(f516,plain,
( ( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) )
= $true )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true )
| ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f515]) ).
thf(f515,plain,
( ( ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) )
= $true )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true ) ),
inference(not_proxy_clausification,[],[f514]) ).
thf(f514,plain,
( ( $false
= ( ( f @ x0 )
!= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) ) )
| ( ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) )
= $true ) ),
inference(binary_proxy_clausification,[],[f493]) ).
thf(f493,plain,
( $true
= ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
=> ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ) ) ),
inference(definition_unfolding,[],[f409,f474,f474]) ).
thf(f409,plain,
( $true
= ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( ( f @ x0 )
!= extend1289208545_ereal )
=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ) ) ),
inference(cnf_transformation,[],[f253]) ).
thf(f253,plain,
( $true
= ( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( ( f @ x0 )
!= extend1289208545_ereal )
=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ) ) ),
inference(fool_elimination,[],[f252]) ).
thf(f252,plain,
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( ( f @ x0 )
!= extend1289208545_ereal )
=> ! [X0: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( ( f @ x0 )
!= extend1289208545_ereal )
=> ! [X0: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) ) ) )
= ( lower_191460856_ereal @ x0 @ f ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).
thf(f720,plain,
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
| spl0_6 ),
inference(avatar_component_clause,[],[f718]) ).
thf(f718,plain,
( spl0_6
<=> ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
thf(f937,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f936]) ).
thf(f936,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f935]) ).
thf(f935,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(backward_demodulation,[],[f874,f934]) ).
thf(f934,plain,
( ( ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f931]) ).
thf(f931,plain,
( ( ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f929,f904]) ).
thf(f904,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( member_a @ x0 @ ( sK9 @ X1 ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f902]) ).
thf(f902,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( $true
= ( ( member_a @ x0 @ ( sK9 @ X1 ) )
& ( topolo1276428101open_a @ ( sK9 @ X1 ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f900]) ).
thf(f900,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( ( member_a @ x0 @ ( sK9 @ X1 ) )
& ( topolo1276428101open_a @ ( sK9 @ X1 ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK9 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f899]) ).
thf(f899,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( $true
= ( ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) ) )
@ ( sK9 @ X1 ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(sigma_clausification,[],[f898]) ).
thf(f898,plain,
( ! [X1: extended_ereal] :
( ( ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) ) ) )
= $true )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f897]) ).
thf(f897,plain,
( ! [X1: extended_ereal] :
( $true
= ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f896,f719]) ).
thf(f719,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f718]) ).
thf(f896,plain,
( ! [X1: extended_ereal] :
( $true
= ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f895]) ).
thf(f895,plain,
( ! [X1: extended_ereal] :
( ( ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) )
@ X1 )
= $true )
| ~ spl0_1
| ~ spl0_6 ),
inference(pi_clausification,[],[f868]) ).
thf(f868,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f867]) ).
thf(f867,plain,
( ( $true = $false )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(backward_demodulation,[],[f863,f866]) ).
thf(f866,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ~ spl0_1 ),
inference(trivial_inequality_removal,[],[f865]) ).
thf(f865,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( $true = $false )
| ~ spl0_1 ),
inference(forward_demodulation,[],[f534,f560]) ).
thf(f863,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f540,f719]) ).
thf(f540,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) ) ),
inference(equality_proxy_clausification,[],[f538]) ).
thf(f538,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f536]) ).
thf(f536,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f535]) ).
thf(f535,plain,
( ( $true
= ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) ) )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f500]) ).
thf(f500,plain,
( $true
= ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f434,f474]) ).
thf(f434,plain,
( ( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f232]) ).
thf(f232,plain,
( ( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f231]) ).
thf(f231,plain,
( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( ! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) )
& ( topolo1276428101open_a @ X1 )
& ( member_a @ x0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
( ( ( f @ x0 )
= extend1289208545_ereal )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( ! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) )
& ( topolo1276428101open_a @ X1 )
& ( member_a @ x0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).
thf(f929,plain,
( ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f928]) ).
thf(f928,plain,
( ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f927,f918]) ).
thf(f918,plain,
( ( $true
= ( topolo1276428101open_a @ ( sK9 @ sK6 ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f913]) ).
thf(f913,plain,
( ( $true = $false )
| ( $true
= ( topolo1276428101open_a @ ( sK9 @ sK6 ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f874,f903]) ).
thf(f903,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( $true
= ( topolo1276428101open_a @ ( sK9 @ X1 ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f902]) ).
thf(f927,plain,
( ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ( ( topolo1276428101open_a @ ( sK9 @ sK6 ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f926]) ).
thf(f926,plain,
( ( ( topolo1276428101open_a @ ( sK9 @ sK6 ) )
= $false )
| ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f925,f874]) ).
thf(f925,plain,
( ( ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ( ( topolo1276428101open_a @ ( sK9 @ sK6 ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f921]) ).
thf(f921,plain,
( ( ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( ( member_a @ x0 @ ( sK9 @ sK6 ) )
= $false )
| ( ( topolo1276428101open_a @ ( sK9 @ sK6 ) )
= $false )
| ( $true = $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f901,f888]) ).
thf(f888,plain,
( ! [X1: set_a] :
( ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y0 ) ) ) ) )
| ( ( member_a @ x0 @ X1 )
= $false )
| ( ( topolo1276428101open_a @ X1 )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f887]) ).
thf(f887,plain,
( ! [X1: set_a] :
( ( $false
= ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y0 ) ) ) )
& ( topolo1276428101open_a @ X1 ) ) )
| ( ( member_a @ x0 @ X1 )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f886]) ).
thf(f886,plain,
( ! [X1: set_a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y0 ) ) ) )
& ( topolo1276428101open_a @ X1 )
& ( member_a @ x0 @ X1 ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f885]) ).
thf(f885,plain,
( ! [X1: set_a] :
( ( ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) )
@ X1 )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(pi_clausification,[],[f873]) ).
thf(f873,plain,
( ( ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) ) )
= $false )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f872]) ).
thf(f872,plain,
( ( $false
= ( ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK6 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) ) ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f871,f719]) ).
thf(f901,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK9 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f900]) ).
thf(f874,plain,
( ( $true
= ( ord_le2001149050_ereal @ sK6 @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ~ spl0_1
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f872]) ).
thf(f862,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f861]) ).
thf(f861,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f860]) ).
thf(f860,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f824,f859]) ).
thf(f859,plain,
( ( ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f856]) ).
thf(f856,plain,
( ( $true = $false )
| ( ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f853,f733]) ).
thf(f733,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( member_a @ x0 @ ( sK2 @ X1 ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(backward_demodulation,[],[f579,f719]) ).
thf(f579,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( member_a @ x0 @ ( sK2 @ X1 ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f578]) ).
thf(f578,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false )
| ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK2 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) )
& ( topolo1276428101open_a @ ( sK2 @ X1 ) )
& ( member_a @ x0 @ ( sK2 @ X1 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f577]) ).
thf(f577,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false )
| ( $true
= ( ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) )
@ ( sK2 @ X1 ) ) ) )
| ~ spl0_2 ),
inference(sigma_clausification,[],[f576]) ).
thf(f576,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f575]) ).
thf(f575,plain,
( ! [X1: extended_ereal] :
( $true
= ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y1 ) ) ) )
& ( topolo1276428101open_a @ Y0 )
& ( member_a @ x0 @ Y0 ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[],[f574]) ).
thf(f574,plain,
( ! [X1: extended_ereal] :
( $true
= ( ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) )
@ X1 ) )
| ~ spl0_2 ),
inference(pi_clausification,[],[f573]) ).
thf(f573,plain,
( ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f567]) ).
thf(f567,plain,
( ( $true = $false )
| ( $true
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f534,f564]) ).
thf(f853,plain,
( ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f852]) ).
thf(f852,plain,
( ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f851,f836]) ).
thf(f836,plain,
( ( $true
= ( topolo1276428101open_a @ ( sK2 @ sK4 ) ) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f828]) ).
thf(f828,plain,
( ( $true = $false )
| ( $true
= ( topolo1276428101open_a @ ( sK2 @ sK4 ) ) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f734,f824]) ).
thf(f734,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( $true
= ( topolo1276428101open_a @ ( sK2 @ X1 ) ) ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(backward_demodulation,[],[f581,f719]) ).
thf(f581,plain,
( ! [X1: extended_ereal] :
( ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false )
| ( $true
= ( topolo1276428101open_a @ ( sK2 @ X1 ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f580]) ).
thf(f580,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK2 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) )
& ( topolo1276428101open_a @ ( sK2 @ X1 ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f578]) ).
thf(f851,plain,
( ( ( topolo1276428101open_a @ ( sK2 @ sK4 ) )
= $false )
| ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f850]) ).
thf(f850,plain,
( ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ( $true = $false )
| ( ( topolo1276428101open_a @ ( sK2 @ sK4 ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f849,f824]) ).
thf(f849,plain,
( ( ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ( ( topolo1276428101open_a @ ( sK2 @ sK4 ) )
= $false )
| ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f846]) ).
thf(f846,plain,
( ( $true = $false )
| ( ( member_a @ x0 @ ( sK2 @ sK4 ) )
= $false )
| ( ( topolo1276428101open_a @ ( sK2 @ sK4 ) )
= $false )
| ( ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f735,f843]) ).
thf(f843,plain,
( ! [X1: set_a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y0 ) ) ) )
= $false )
| ( ( member_a @ x0 @ X1 )
= $false )
| ( ( topolo1276428101open_a @ X1 )
= $false ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f842]) ).
thf(f842,plain,
( ! [X1: set_a] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y0 ) ) ) )
= $false )
| ( ( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 ) )
= $false ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f841]) ).
thf(f841,plain,
( ! [X1: set_a] :
( ( ( member_a @ x0 @ X1 )
& ( topolo1276428101open_a @ X1 )
& ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ X1 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y0 ) ) ) ) )
= $false )
| ~ spl0_5
| ~ spl0_6 ),
inference(beta_eta_normalization,[],[f840]) ).
thf(f840,plain,
( ! [X1: set_a] :
( $false
= ( ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y1 ) ) ) ) )
@ X1 ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(pi_clausification,[],[f823]) ).
thf(f823,plain,
( ( ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y1 ) ) ) ) ) )
= $false )
| ~ spl0_5
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f822]) ).
thf(f822,plain,
( ( $false
= ( ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y1 ) ) ) ) ) ) ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f821,f719]) ).
thf(f821,plain,
( ( ( ( ord_le2001149050_ereal @ sK4 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y0: set_a] :
( ( member_a @ x0 @ Y0 )
& ( topolo1276428101open_a @ Y0 )
& ( !! @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ Y0 )
=> ( ord_le2001149050_ereal @ sK4 @ ( f @ Y1 ) ) ) ) ) ) )
= $false )
| ~ spl0_5 ),
inference(beta_eta_normalization,[],[f820]) ).
thf(f820,plain,
( ( ( ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) )
@ sK4 )
= $false )
| ~ spl0_5 ),
inference(sigma_clausification,[],[f716]) ).
thf(f716,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f714]) ).
thf(f714,plain,
( spl0_5
<=> ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
thf(f735,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK2 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) )
| ~ spl0_2
| ~ spl0_6 ),
inference(backward_demodulation,[],[f582,f719]) ).
thf(f582,plain,
( ! [X1: extended_ereal] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( member_a @ Y0 @ ( sK2 @ X1 ) )
=> ( ord_le2001149050_ereal @ X1 @ ( f @ Y0 ) ) ) ) )
| ( ( ord_le2001149050_ereal @ X1 @ ( f @ x0 ) )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[],[f580]) ).
thf(f824,plain,
( ( $true
= ( ord_le2001149050_ereal @ sK4 @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ~ spl0_5
| ~ spl0_6 ),
inference(binary_proxy_clausification,[],[f822]) ).
thf(f731,plain,
( spl0_1
| spl0_3
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f571,f562,f718,f658,f558]) ).
thf(f571,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( f @ x0 )
= extended_MInfty )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f566]) ).
thf(f566,plain,
( ( ( f @ x0 )
= extended_MInfty )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( $true = $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f528,f564]) ).
thf(f528,plain,
( ( ( f @ x0 )
= extended_MInfty )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false ) ),
inference(backward_demodulation,[],[f522,f475]) ).
thf(f522,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) ) ),
inference(equality_proxy_clausification,[],[f521]) ).
thf(f521,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( $true
= ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f519]) ).
thf(f519,plain,
( ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
= $true )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( $true
= ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) ) )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true ) ),
inference(binary_proxy_clausification,[],[f518]) ).
thf(f721,plain,
( spl0_5
| ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f572,f562,f718,f714]) ).
thf(f572,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f568]) ).
thf(f568,plain,
( ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( $true = $false )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f539,f564]) ).
thf(f539,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( ( f @ x0 )
!= ( uminus1208298309_ereal @ extended_MInfty ) )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f537]) ).
thf(f537,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( member_a @ x0 @ Y1 )
& ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) ) ) ) ) )
= $false )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true )
| ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extended_MInfty ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f536]) ).
thf(f665,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f570,f562,f662,f658]) ).
thf(f570,plain,
( ( ( f @ x0 )
!= extended_MInfty )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f569]) ).
thf(f569,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( f @ x0 )
!= extended_MInfty )
| ( $true = $false )
| ~ spl0_2 ),
inference(backward_demodulation,[],[f550,f564]) ).
thf(f550,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( f @ x0 )
!= extended_MInfty )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true ) ),
inference(equality_proxy_clausification,[],[f548]) ).
thf(f548,plain,
( ( ( ( f @ x0 )
= extended_MInfty )
= $false )
| ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( lower_191460856_ereal @ x0 @ f )
= $true ) ),
inference(binary_proxy_clausification,[],[f547]) ).
thf(f547,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) )
| ( ( ( f @ x0 )
= extended_MInfty )
= $false ) ),
inference(equality_proxy_clausification,[],[f546]) ).
thf(f546,plain,
( ( $true
= ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) )
| ( ( ( f @ x0 )
= extended_MInfty )
= $false ) ),
inference(binary_proxy_clausification,[],[f545]) ).
thf(f545,plain,
( $true
= ( ( ( f @ x0 )
= extended_MInfty )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f479,f475]) ).
thf(f479,plain,
( $true
= ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ ( uminus1208298309_ereal @ extended_MInfty ) ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f363,f474]) ).
thf(f363,plain,
( $true
= ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f173]) ).
thf(f173,plain,
( $true
= ( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( topolo1276428101open_a @ Y1 )
& ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f172]) ).
thf(f172,plain,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( ! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) )
& ( topolo1276428101open_a @ X1 ) ) ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
( ( ( f @ x0 )
= ( uminus1208298309_ereal @ extend1289208545_ereal ) )
=> ( ( lower_191460856_ereal @ x0 @ f )
= ( ! [X0: extended_ereal] :
( ( ord_le2001149050_ereal @ X0 @ ( f @ x0 ) )
=> ? [X1: set_a] :
( ( member_a @ x0 @ X1 )
& ! [X2: a] :
( ( member_a @ X2 @ X1 )
=> ( ord_le2001149050_ereal @ X0 @ ( f @ X2 ) ) )
& ( topolo1276428101open_a @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062) ).
thf(f565,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f533,f562,f558]) ).
thf(f533,plain,
( ( ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) )
= $false )
| ( ( lower_191460856_ereal @ x0 @ f )
= $false ) ),
inference(not_proxy_clausification,[],[f532]) ).
thf(f532,plain,
( ( ( lower_191460856_ereal @ x0 @ f )
= $false )
| ( $true
= ( ~ ( !! @ extended_ereal
@ ^ [Y0: extended_ereal] :
( ( ord_le2001149050_ereal @ Y0 @ ( f @ x0 ) )
=> ( ?? @ set_a
@ ^ [Y1: set_a] :
( ( !! @ a
@ ^ [Y2: a] :
( ( member_a @ Y2 @ Y1 )
=> ( ord_le2001149050_ereal @ Y0 @ ( f @ Y2 ) ) ) )
& ( topolo1276428101open_a @ Y1 )
& ( member_a @ x0 @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP111^1 : TPTP v8.2.0. Released v7.5.0.
% 0.11/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.40 % Computer : n016.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8042.1875MB
% 0.14/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sat May 18 15:41:23 EDT 2024
% 0.14/0.40 % CPUTime :
% 0.14/0.40 This is a TH0_THM_EQU_NAR problem
% 0.14/0.40 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.26/0.43 % (747)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)
% 0.26/0.43 % (745)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.26/0.43 % (753)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)
% 0.26/0.43 % (746)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)
% 0.26/0.43 % (750)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)
% 0.26/0.43 % (751)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)
% 0.26/0.43 % (752)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.26/0.43 % (749)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.26/0.43 % (750)Instruction limit reached!
% 0.26/0.43 % (750)------------------------------
% 0.26/0.43 % (750)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (750)Termination reason: Unknown
% 0.26/0.43 % (750)Termination phase: shuffling
% 0.26/0.43
% 0.26/0.43 % (750)Memory used [KB]: 1151
% 0.26/0.43 % (750)Time elapsed: 0.003 s
% 0.26/0.43 % (750)Instructions burned: 2 (million)
% 0.26/0.43 % (750)------------------------------
% 0.26/0.43 % (750)------------------------------
% 0.26/0.43 % (753)Instruction limit reached!
% 0.26/0.43 % (753)------------------------------
% 0.26/0.43 % (753)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (753)Termination reason: Unknown
% 0.26/0.43 % (753)Termination phase: shuffling
% 0.26/0.43
% 0.26/0.43 % (753)Memory used [KB]: 1151
% 0.26/0.43 % (753)Time elapsed: 0.004 s
% 0.26/0.43 % (753)Instructions burned: 3 (million)
% 0.26/0.43 % (753)------------------------------
% 0.26/0.43 % (753)------------------------------
% 0.26/0.43 % (746)Instruction limit reached!
% 0.26/0.43 % (746)------------------------------
% 0.26/0.43 % (746)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (746)Termination reason: Unknown
% 0.26/0.43 % (746)Termination phase: shuffling
% 0.26/0.43
% 0.26/0.43 % (746)Memory used [KB]: 1151
% 0.26/0.43 % (746)Time elapsed: 0.004 s
% 0.26/0.43 % (746)Instructions burned: 4 (million)
% 0.26/0.43 % (746)------------------------------
% 0.26/0.43 % (746)------------------------------
% 0.26/0.43 % (749)Instruction limit reached!
% 0.26/0.43 % (749)------------------------------
% 0.26/0.43 % (749)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.43 % (749)Termination reason: Unknown
% 0.26/0.43 % (749)Termination phase: shuffling
% 0.26/0.43
% 0.26/0.43 % (749)Memory used [KB]: 1151
% 0.26/0.43 % (749)Time elapsed: 0.004 s
% 0.26/0.43 % (749)Instructions burned: 3 (million)
% 0.26/0.43 % (749)------------------------------
% 0.26/0.43 % (749)------------------------------
% 0.26/0.44 % (752)Instruction limit reached!
% 0.26/0.44 % (752)------------------------------
% 0.26/0.44 % (752)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44 % (752)Termination reason: Unknown
% 0.26/0.44 % (752)Termination phase: Property scanning
% 0.26/0.44
% 0.26/0.44 % (752)Memory used [KB]: 1535
% 0.26/0.44 % (752)Time elapsed: 0.012 s
% 0.26/0.44 % (752)Instructions burned: 19 (million)
% 0.26/0.44 % (752)------------------------------
% 0.26/0.44 % (752)------------------------------
% 0.26/0.44 % (747)Instruction limit reached!
% 0.26/0.44 % (747)------------------------------
% 0.26/0.44 % (747)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.44 % (747)Termination reason: Unknown
% 0.26/0.44 % (747)Termination phase: Property scanning
% 0.26/0.44
% 0.26/0.44 % (747)Memory used [KB]: 1407
% 0.26/0.44 % (747)Time elapsed: 0.016 s
% 0.26/0.44 % (747)Instructions burned: 27 (million)
% 0.26/0.44 % (747)------------------------------
% 0.26/0.44 % (747)------------------------------
% 0.26/0.45 % (754)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)
% 0.26/0.45 % (755)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)
% 0.26/0.45 % (756)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)
% 0.26/0.45 % (759)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)
% 0.26/0.45 % (756)Instruction limit reached!
% 0.26/0.45 % (756)------------------------------
% 0.26/0.45 % (756)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45 % (756)Termination reason: Unknown
% 0.26/0.45 % (756)Termination phase: shuffling
% 0.26/0.45
% 0.26/0.45 % (756)Memory used [KB]: 1151
% 0.26/0.45 % (756)Time elapsed: 0.004 s
% 0.26/0.45 % (756)Instructions burned: 4 (million)
% 0.26/0.45 % (756)------------------------------
% 0.26/0.45 % (756)------------------------------
% 0.26/0.45 % (755)Instruction limit reached!
% 0.26/0.45 % (755)------------------------------
% 0.26/0.45 % (755)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.45 % (755)Termination reason: Unknown
% 0.26/0.45 % (755)Termination phase: Preprocessing 3
% 0.26/0.45
% 0.26/0.45 % (755)Memory used [KB]: 1407
% 0.26/0.45 % (755)Time elapsed: 0.010 s
% 0.26/0.45 % (755)Instructions burned: 16 (million)
% 0.26/0.45 % (755)------------------------------
% 0.26/0.45 % (755)------------------------------
% 0.26/0.46 % (760)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.26/0.46 % (761)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.26/0.46 % (760)Instruction limit reached!
% 0.26/0.46 % (760)------------------------------
% 0.26/0.46 % (760)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46 % (760)Termination reason: Unknown
% 0.26/0.46 % (760)Termination phase: Property scanning
% 0.26/0.46
% 0.26/0.46 % (760)Memory used [KB]: 1151
% 0.26/0.46 % (760)Time elapsed: 0.006 s
% 0.26/0.46 % (760)Instructions burned: 8 (million)
% 0.26/0.46 % (760)------------------------------
% 0.26/0.46 % (760)------------------------------
% 0.26/0.46 % (754)Instruction limit reached!
% 0.26/0.46 % (754)------------------------------
% 0.26/0.46 % (754)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.46 % (754)Termination reason: Unknown
% 0.26/0.46 % (754)Termination phase: Property scanning
% 0.26/0.46
% 0.26/0.46 % (754)Memory used [KB]: 1407
% 0.26/0.46 % (754)Time elapsed: 0.019 s
% 0.26/0.46 % (754)Instructions burned: 37 (million)
% 0.26/0.46 % (754)------------------------------
% 0.26/0.46 % (754)------------------------------
% 0.26/0.46 % (762)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)
% 0.26/0.47 % (762)Instruction limit reached!
% 0.26/0.47 % (762)------------------------------
% 0.26/0.47 % (762)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47 % (762)Termination reason: Unknown
% 0.26/0.47 % (762)Termination phase: shuffling
% 0.26/0.47
% 0.26/0.47 % (762)Memory used [KB]: 1151
% 0.26/0.47 % (762)Time elapsed: 0.004 s
% 0.26/0.47 % (762)Instructions burned: 4 (million)
% 0.26/0.47 % (762)------------------------------
% 0.26/0.47 % (762)------------------------------
% 0.26/0.47 % (761)Instruction limit reached!
% 0.26/0.47 % (761)------------------------------
% 0.26/0.47 % (761)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47 % (761)Termination reason: Unknown
% 0.26/0.47 % (761)Termination phase: Preprocessing 3
% 0.26/0.47
% 0.26/0.47 % (761)Memory used [KB]: 1279
% 0.26/0.47 % (761)Time elapsed: 0.011 s
% 0.26/0.47 % (761)Instructions burned: 17 (million)
% 0.26/0.47 % (761)------------------------------
% 0.26/0.47 % (761)------------------------------
% 0.26/0.47 % (763)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)
% 0.26/0.47 % (763)Instruction limit reached!
% 0.26/0.47 % (763)------------------------------
% 0.26/0.47 % (763)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.47 % (763)Termination reason: Unknown
% 0.26/0.47 % (763)Termination phase: shuffling
% 0.26/0.47
% 0.26/0.47 % (763)Memory used [KB]: 1151
% 0.26/0.47 % (763)Time elapsed: 0.003 s
% 0.26/0.47 % (763)Instructions burned: 3 (million)
% 0.26/0.47 % (763)------------------------------
% 0.26/0.47 % (763)------------------------------
% 0.26/0.47 % (764)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)
% 0.26/0.48 % (764)Instruction limit reached!
% 0.26/0.48 % (764)------------------------------
% 0.26/0.48 % (764)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (764)Termination reason: Unknown
% 0.26/0.48 % (764)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (764)Memory used [KB]: 1151
% 0.26/0.48 % (764)Time elapsed: 0.006 s
% 0.26/0.48 % (764)Instructions burned: 7 (million)
% 0.26/0.48 % (764)------------------------------
% 0.26/0.48 % (764)------------------------------
% 0.26/0.48 % (765)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)
% 0.26/0.48 % (765)Instruction limit reached!
% 0.26/0.48 % (765)------------------------------
% 0.26/0.48 % (765)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (765)Termination reason: Unknown
% 0.26/0.48 % (765)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (765)Memory used [KB]: 1151
% 0.26/0.48 % (765)Time elapsed: 0.004 s
% 0.26/0.48 % (765)Instructions burned: 3 (million)
% 0.26/0.48 % (765)------------------------------
% 0.26/0.48 % (765)------------------------------
% 0.26/0.48 % (766)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.26/0.48 % (766)Instruction limit reached!
% 0.26/0.48 % (766)------------------------------
% 0.26/0.48 % (766)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.48 % (767)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)
% 0.26/0.48 % (766)Termination reason: Unknown
% 0.26/0.48 % (766)Termination phase: shuffling
% 0.26/0.48
% 0.26/0.48 % (766)Memory used [KB]: 1151
% 0.26/0.48 % (766)Time elapsed: 0.005 s
% 0.26/0.48 % (766)Instructions burned: 5 (million)
% 0.26/0.48 % (766)------------------------------
% 0.26/0.48 % (766)------------------------------
% 0.26/0.49 % (768)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.26/0.49 % (767)Instruction limit reached!
% 0.26/0.49 % (767)------------------------------
% 0.26/0.49 % (767)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.49 % (767)Termination reason: Unknown
% 0.26/0.49 % (767)Termination phase: Property scanning
% 0.26/0.49
% 0.26/0.49 % (767)Memory used [KB]: 1407
% 0.26/0.49 % (767)Time elapsed: 0.012 s
% 0.26/0.49 % (769)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.26/0.49 % (767)Instructions burned: 20 (million)
% 0.26/0.49 % (767)------------------------------
% 0.26/0.49 % (767)------------------------------
% 0.26/0.50 % (770)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)
% 0.26/0.50 % (769)Instruction limit reached!
% 0.26/0.50 % (769)------------------------------
% 0.26/0.50 % (769)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.50 % (769)Termination reason: Unknown
% 0.26/0.50 % (769)Termination phase: shuffling
% 0.26/0.50
% 0.26/0.50 % (769)Memory used [KB]: 1151
% 0.26/0.50 % (769)Time elapsed: 0.005 s
% 0.26/0.50 % (769)Instructions burned: 6 (million)
% 0.26/0.50 % (769)------------------------------
% 0.26/0.50 % (769)------------------------------
% 0.26/0.50 % (771)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)
% 0.26/0.51 % (772)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.26/0.51 % (771)Instruction limit reached!
% 0.26/0.51 % (771)------------------------------
% 0.26/0.51 % (771)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.51 % (771)Termination reason: Unknown
% 0.26/0.51 % (771)Termination phase: Preprocessing 3
% 0.26/0.51
% 0.26/0.51 % (771)Memory used [KB]: 1407
% 0.26/0.51 % (771)Time elapsed: 0.014 s
% 0.26/0.51 % (771)Instructions burned: 21 (million)
% 0.26/0.51 % (771)------------------------------
% 0.26/0.51 % (771)------------------------------
% 0.26/0.51 % (772)Instruction limit reached!
% 0.26/0.51 % (772)------------------------------
% 0.26/0.51 % (772)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.51 % (772)Termination reason: Unknown
% 0.26/0.51 % (772)Termination phase: shuffling
% 0.26/0.51
% 0.26/0.51 % (772)Memory used [KB]: 1151
% 0.26/0.51 % (772)Time elapsed: 0.005 s
% 0.26/0.51 % (772)Instructions burned: 5 (million)
% 0.26/0.51 % (772)------------------------------
% 0.26/0.51 % (772)------------------------------
% 0.26/0.51 % (773)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.26/0.52 % (773)Instruction limit reached!
% 0.26/0.52 % (773)------------------------------
% 0.26/0.52 % (773)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.52 % (773)Termination reason: Unknown
% 0.26/0.52 % (773)Termination phase: shuffling
% 0.26/0.52
% 0.26/0.52 % (773)Memory used [KB]: 1151
% 0.26/0.52 % (773)Time elapsed: 0.005 s
% 0.26/0.52 % (773)Instructions burned: 6 (million)
% 0.26/0.52 % (773)------------------------------
% 0.26/0.52 % (773)------------------------------
% 0.26/0.52 % (745)Instruction limit reached!
% 0.26/0.52 % (745)------------------------------
% 0.26/0.52 % (745)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.52 % (745)Termination reason: Unknown
% 0.26/0.52 % (745)Termination phase: Saturation
% 0.26/0.52
% 0.26/0.52 % (745)Memory used [KB]: 6396
% 0.26/0.52 % (745)Time elapsed: 0.096 s
% 0.26/0.52 % (745)Instructions burned: 183 (million)
% 0.26/0.52 % (745)------------------------------
% 0.26/0.52 % (745)------------------------------
% 0.26/0.53 % (774)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.26/0.53 % (776)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2998ds/779Mi)
% 0.26/0.53 % (777)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2998ds/19Mi)
% 0.26/0.54 % (778)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.26/0.54 % (777)Instruction limit reached!
% 0.26/0.54 % (777)------------------------------
% 0.26/0.54 % (777)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.54 % (777)Termination reason: Unknown
% 0.26/0.54 % (777)Termination phase: Property scanning
% 0.26/0.54
% 0.26/0.54 % (777)Memory used [KB]: 1407
% 0.26/0.54 % (777)Time elapsed: 0.012 s
% 0.26/0.54 % (777)Instructions burned: 20 (million)
% 0.26/0.54 % (777)------------------------------
% 0.26/0.54 % (777)------------------------------
% 0.26/0.56 % (779)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.26/0.57 % (779)Instruction limit reached!
% 0.26/0.57 % (779)------------------------------
% 0.26/0.57 % (779)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.26/0.57 % (779)Termination reason: Unknown
% 0.26/0.57 % (779)Termination phase: Preprocessing 3
% 0.26/0.57
% 0.26/0.57 % (779)Memory used [KB]: 1279
% 0.26/0.57 % (779)Time elapsed: 0.011 s
% 0.26/0.57 % (779)Instructions burned: 17 (million)
% 0.26/0.57 % (779)------------------------------
% 0.26/0.57 % (779)------------------------------
% 1.37/0.58 % (780)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.37/0.59 % (780)Instruction limit reached!
% 1.37/0.59 % (780)------------------------------
% 1.37/0.59 % (780)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.59 % (780)Termination reason: Unknown
% 1.37/0.59 % (780)Termination phase: shuffling
% 1.37/0.59
% 1.37/0.59 % (780)Memory used [KB]: 1151
% 1.37/0.59 % (780)Time elapsed: 0.004 s
% 1.37/0.59 % (780)Instructions burned: 4 (million)
% 1.37/0.59 % (780)------------------------------
% 1.37/0.59 % (780)------------------------------
% 1.37/0.59 % (751)Instruction limit reached!
% 1.37/0.59 % (751)------------------------------
% 1.37/0.59 % (751)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.37/0.59 % (751)Termination reason: Unknown
% 1.37/0.59 % (751)Termination phase: Saturation
% 1.37/0.59
% 1.37/0.59 % (751)Memory used [KB]: 6652
% 1.37/0.59 % (751)Time elapsed: 0.160 s
% 1.37/0.59 % (751)Instructions burned: 275 (million)
% 1.37/0.59 % (751)------------------------------
% 1.37/0.59 % (751)------------------------------
% 1.37/0.60 % (781)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.64/0.60 % (782)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 1.64/0.61 % (781)Instruction limit reached!
% 1.64/0.61 % (781)------------------------------
% 1.64/0.61 % (781)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.64/0.61 % (781)Termination reason: Unknown
% 1.64/0.61 % (781)Termination phase: Property scanning
% 1.64/0.61
% 1.64/0.61 % (781)Memory used [KB]: 1407
% 1.64/0.61 % (781)Time elapsed: 0.016 s
% 1.64/0.61 % (781)Instructions burned: 31 (million)
% 1.64/0.61 % (781)------------------------------
% 1.64/0.61 % (781)------------------------------
% 1.64/0.63 % (783)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 1.90/0.67 % (782)Instruction limit reached!
% 1.90/0.67 % (782)------------------------------
% 1.90/0.67 % (782)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.67 % (782)Termination reason: Unknown
% 1.90/0.67 % (782)Termination phase: Saturation
% 1.90/0.67
% 1.90/0.67 % (782)Memory used [KB]: 6524
% 1.90/0.67 % (782)Time elapsed: 0.073 s
% 1.90/0.67 % (782)Instructions burned: 128 (million)
% 1.90/0.67 % (782)------------------------------
% 1.90/0.67 % (782)------------------------------
% 1.90/0.68 % (783)Instruction limit reached!
% 1.90/0.68 % (783)------------------------------
% 1.90/0.68 % (783)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.68 % (783)Termination reason: Unknown
% 1.90/0.68 % (783)Termination phase: Saturation
% 1.90/0.68
% 1.90/0.68 % (783)Memory used [KB]: 6268
% 1.90/0.68 % (783)Time elapsed: 0.050 s
% 1.90/0.68 % (783)Instructions burned: 101 (million)
% 1.90/0.68 % (783)------------------------------
% 1.90/0.68 % (783)------------------------------
% 1.90/0.69 % (784)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2997ds/3Mi)
% 1.90/0.69 % (784)Instruction limit reached!
% 1.90/0.69 % (784)------------------------------
% 1.90/0.69 % (784)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.69 % (784)Termination reason: Unknown
% 1.90/0.69 % (784)Termination phase: shuffling
% 1.90/0.69
% 1.90/0.69 % (784)Memory used [KB]: 1151
% 1.90/0.69 % (784)Time elapsed: 0.003 s
% 1.90/0.69 % (784)Instructions burned: 3 (million)
% 1.90/0.69 % (784)------------------------------
% 1.90/0.69 % (784)------------------------------
% 1.90/0.69 % (785)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2997ds/20Mi)
% 1.90/0.70 % (774)Refutation not found, non-redundant clauses discarded% (774)------------------------------
% 1.90/0.70 % (774)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.70 % (774)Termination reason: Refutation not found, non-redundant clauses discarded
% 1.90/0.70
% 1.90/0.70 % (774)Memory used [KB]: 6780
% 1.90/0.70 % (774)Time elapsed: 0.171 s
% 1.90/0.70 % (774)Instructions burned: 334 (million)
% 1.90/0.70 % (774)------------------------------
% 1.90/0.70 % (774)------------------------------
% 1.90/0.70 % (785)Instruction limit reached!
% 1.90/0.70 % (785)------------------------------
% 1.90/0.70 % (785)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.70 % (785)Termination reason: Unknown
% 1.90/0.70 % (785)Termination phase: Preprocessing 3
% 1.90/0.70
% 1.90/0.70 % (785)Memory used [KB]: 1407
% 1.90/0.70 % (785)Time elapsed: 0.012 s
% 1.90/0.70 % (785)Instructions burned: 20 (million)
% 1.90/0.70 % (785)------------------------------
% 1.90/0.70 % (785)------------------------------
% 1.90/0.71 % (787)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 1.90/0.71 % (788)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.90/0.72 % (789)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.90/0.73 % (789)Instruction limit reached!
% 1.90/0.73 % (789)------------------------------
% 1.90/0.73 % (789)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 1.90/0.73 % (789)Termination reason: Unknown
% 1.90/0.73 % (789)Termination phase: Property scanning
% 1.90/0.73
% 1.90/0.73 % (789)Memory used [KB]: 1407
% 1.90/0.73 % (789)Time elapsed: 0.020 s
% 1.90/0.73 % (789)Instructions burned: 41 (million)
% 1.90/0.73 % (789)------------------------------
% 1.90/0.73 % (789)------------------------------
% 2.70/0.75 % (787)Instruction limit reached!
% 2.70/0.75 % (787)------------------------------
% 2.70/0.75 % (787)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.70/0.75 % (787)Termination reason: Unknown
% 2.70/0.75 % (787)Termination phase: Saturation
% 2.70/0.75
% 2.70/0.75 % (787)Memory used [KB]: 6268
% 2.70/0.75 % (787)Time elapsed: 0.046 s
% 2.70/0.75 % (787)Instructions burned: 87 (million)
% 2.70/0.75 % (787)------------------------------
% 2.70/0.75 % (787)------------------------------
% 2.70/0.75 % (790)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2996ds/448Mi)
% 2.70/0.77 % (791)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2996ds/46Mi)
% 2.70/0.77 % (788)Instruction limit reached!
% 2.70/0.77 % (788)------------------------------
% 2.70/0.77 % (788)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.70/0.77 % (788)Termination reason: Unknown
% 2.70/0.77 % (788)Termination phase: Saturation
% 2.70/0.77
% 2.70/0.77 % (788)Memory used [KB]: 6268
% 2.70/0.77 % (788)Time elapsed: 0.056 s
% 2.70/0.77 % (788)Instructions burned: 107 (million)
% 2.70/0.77 % (788)------------------------------
% 2.70/0.77 % (788)------------------------------
% 2.70/0.78 % (792)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2996ds/98Mi)
% 2.70/0.79 % (791)Instruction limit reached!
% 2.70/0.79 % (791)------------------------------
% 2.70/0.79 % (791)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 2.70/0.79 % (791)Termination reason: Unknown
% 2.70/0.79 % (791)Termination phase: Saturation
% 2.70/0.79
% 2.70/0.79 % (791)Memory used [KB]: 6012
% 2.70/0.79 % (791)Time elapsed: 0.025 s
% 2.70/0.79 % (791)Instructions burned: 47 (million)
% 2.70/0.79 % (791)------------------------------
% 2.70/0.79 % (791)------------------------------
% 3.11/0.80 % (793)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2996ds/507Mi)
% 3.11/0.83 % (792)Instruction limit reached!
% 3.11/0.83 % (792)------------------------------
% 3.11/0.83 % (792)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.11/0.83 % (792)Termination reason: Unknown
% 3.11/0.83 % (792)Termination phase: Saturation
% 3.11/0.83
% 3.11/0.83 % (792)Memory used [KB]: 1663
% 3.11/0.83 % (792)Time elapsed: 0.050 s
% 3.11/0.83 % (792)Instructions burned: 100 (million)
% 3.11/0.83 % (792)------------------------------
% 3.11/0.83 % (792)------------------------------
% 3.11/0.83 % (768)Refutation not found, non-redundant clauses discarded% (768)------------------------------
% 3.11/0.83 % (768)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.11/0.83 % (768)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.11/0.83
% 3.11/0.83 % (768)Memory used [KB]: 7931
% 3.11/0.83 % (768)Time elapsed: 0.332 s
% 3.11/0.83 % (768)Instructions burned: 638 (million)
% 3.11/0.83 % (768)------------------------------
% 3.11/0.83 % (768)------------------------------
% 3.11/0.84 % (793)Refutation not found, incomplete strategy
% 3.11/0.84 % (793)------------------------------
% 3.11/0.84 % (793)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.11/0.84 % (793)Termination reason: Refutation not found, incomplete strategy
% 3.11/0.84
% 3.11/0.84
% 3.11/0.84 % (793)Memory used [KB]: 6268
% 3.11/0.84 % (793)Time elapsed: 0.036 s
% 3.11/0.84 % (793)Instructions burned: 62 (million)
% 3.11/0.84 % (793)------------------------------
% 3.11/0.84 % (793)------------------------------
% 3.11/0.85 % (794)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2995ds/149Mi)
% 3.52/0.85 % (795)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2995ds/39Mi)
% 3.52/0.85 % (796)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.52/0.86 % (796)Instruction limit reached!
% 3.52/0.86 % (796)------------------------------
% 3.52/0.86 % (796)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.86 % (796)Termination reason: Unknown
% 3.52/0.86 % (796)Termination phase: shuffling
% 3.52/0.86
% 3.52/0.86 % (796)Memory used [KB]: 1151
% 3.52/0.86 % (796)Time elapsed: 0.005 s
% 3.52/0.86 % (796)Instructions burned: 6 (million)
% 3.52/0.86 % (796)------------------------------
% 3.52/0.86 % (796)------------------------------
% 3.52/0.87 % (795)Instruction limit reached!
% 3.52/0.87 % (795)------------------------------
% 3.52/0.87 % (795)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.52/0.87 % (795)Termination reason: Unknown
% 3.52/0.87 % (795)Termination phase: Saturation
% 3.52/0.87
% 3.52/0.87 % (795)Memory used [KB]: 5884
% 3.52/0.87 % (795)Time elapsed: 0.022 s
% 3.52/0.87 % (795)Instructions burned: 40 (million)
% 3.52/0.87 % (795)------------------------------
% 3.52/0.87 % (795)------------------------------
% 3.52/0.87 % (797)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2995ds/1087Mi)
% 3.52/0.88 % (798)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2995ds/47Mi)
% 3.77/0.91 % (798)Instruction limit reached!
% 3.77/0.91 % (798)------------------------------
% 3.77/0.91 % (798)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.77/0.91 % (798)Termination reason: Unknown
% 3.77/0.91 % (798)Termination phase: Saturation
% 3.77/0.91
% 3.77/0.91 % (798)Memory used [KB]: 6012
% 3.77/0.91 % (798)Time elapsed: 0.026 s
% 3.77/0.91 % (798)Instructions burned: 48 (million)
% 3.77/0.91 % (798)------------------------------
% 3.77/0.91 % (798)------------------------------
% 3.77/0.92 % (794)Instruction limit reached!
% 3.77/0.92 % (794)------------------------------
% 3.77/0.92 % (794)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 3.77/0.92 % (794)Termination reason: Unknown
% 3.77/0.92 % (794)Termination phase: Saturation
% 3.77/0.92
% 3.77/0.92 % (794)Memory used [KB]: 6268
% 3.77/0.92 % (794)Time elapsed: 0.078 s
% 3.77/0.92 % (794)Instructions burned: 150 (million)
% 3.77/0.92 % (794)------------------------------
% 3.77/0.92 % (794)------------------------------
% 3.77/0.92 % (799)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 3.77/0.94 % (800)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2994ds/432Mi)
% 4.07/0.94 % (799)Instruction limit reached!
% 4.07/0.94 % (799)------------------------------
% 4.07/0.94 % (799)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.94 % (799)Termination reason: Unknown
% 4.07/0.94 % (799)Termination phase: Saturation
% 4.07/0.94
% 4.07/0.94 % (799)Memory used [KB]: 1535
% 4.07/0.94 % (799)Time elapsed: 0.023 s
% 4.07/0.94 % (799)Instructions burned: 44 (million)
% 4.07/0.94 % (799)------------------------------
% 4.07/0.94 % (799)------------------------------
% 4.07/0.95 % (776)Instruction limit reached!
% 4.07/0.95 % (776)------------------------------
% 4.07/0.95 % (776)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.95 % (776)Termination reason: Unknown
% 4.07/0.95 % (776)Termination phase: Saturation
% 4.07/0.95
% 4.07/0.95 % (776)Memory used [KB]: 7036
% 4.07/0.95 % (776)Time elapsed: 0.425 s
% 4.07/0.95 % (776)Instructions burned: 779 (million)
% 4.07/0.95 % (776)------------------------------
% 4.07/0.95 % (776)------------------------------
% 4.07/0.96 % (801)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2994ds/62Mi)
% 4.07/0.97 % (802)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2994ds/31Mi)
% 4.07/0.98 % (770)Instruction limit reached!
% 4.07/0.98 % (770)------------------------------
% 4.07/0.98 % (770)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.98 % (770)Termination reason: Unknown
% 4.07/0.98 % (770)Termination phase: Saturation
% 4.07/0.98
% 4.07/0.98 % (770)Memory used [KB]: 8699
% 4.07/0.98 % (770)Time elapsed: 0.484 s
% 4.07/0.98 % (770)Instructions burned: 902 (million)
% 4.07/0.98 % (770)------------------------------
% 4.07/0.98 % (770)------------------------------
% 4.07/0.98 % (778)Instruction limit reached!
% 4.07/0.98 % (778)------------------------------
% 4.07/0.98 % (778)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.98 % (778)Termination reason: Unknown
% 4.07/0.98 % (778)Termination phase: Saturation
% 4.07/0.98
% 4.07/0.98 % (778)Memory used [KB]: 6908
% 4.07/0.98 % (778)Time elapsed: 0.440 s
% 4.07/0.98 % (778)Instructions burned: 880 (million)
% 4.07/0.98 % (778)------------------------------
% 4.07/0.98 % (778)------------------------------
% 4.07/0.98 % (802)Instruction limit reached!
% 4.07/0.98 % (802)------------------------------
% 4.07/0.98 % (802)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.98 % (802)Termination reason: Unknown
% 4.07/0.98 % (802)Termination phase: Property scanning
% 4.07/0.98
% 4.07/0.98 % (802)Memory used [KB]: 1407
% 4.07/0.98 % (802)Time elapsed: 0.018 s
% 4.07/0.98 % (802)Instructions burned: 32 (million)
% 4.07/0.98 % (802)------------------------------
% 4.07/0.98 % (802)------------------------------
% 4.07/0.99 % (801)Instruction limit reached!
% 4.07/0.99 % (801)------------------------------
% 4.07/0.99 % (801)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.99 % (801)Termination reason: Unknown
% 4.07/0.99 % (801)Termination phase: Saturation
% 4.07/0.99
% 4.07/0.99 % (801)Memory used [KB]: 6012
% 4.07/0.99 % (801)Time elapsed: 0.030 s
% 4.07/0.99 % (801)Instructions burned: 63 (million)
% 4.07/0.99 % (801)------------------------------
% 4.07/0.99 % (801)------------------------------
% 4.07/0.99 % (804)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2994ds/453Mi)
% 4.07/0.99 % (803)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2994ds/96Mi)
% 4.07/0.99 % (790)Instruction limit reached!
% 4.07/0.99 % (790)------------------------------
% 4.07/0.99 % (790)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/0.99 % (790)Termination reason: Unknown
% 4.07/0.99 % (790)Termination phase: Saturation
% 4.07/0.99
% 4.07/0.99 % (790)Memory used [KB]: 7036
% 4.07/0.99 % (790)Time elapsed: 0.246 s
% 4.07/0.99 % (790)Instructions burned: 449 (million)
% 4.07/0.99 % (790)------------------------------
% 4.07/0.99 % (790)------------------------------
% 4.07/1.00 % (805)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2994ds/71Mi)
% 4.07/1.00 % (806)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2994ds/83Mi)
% 4.07/1.01 % (807)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2994ds/11Mi)
% 4.07/1.02 % (807)Instruction limit reached!
% 4.07/1.02 % (807)------------------------------
% 4.07/1.02 % (807)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/1.02 % (807)Termination reason: Unknown
% 4.07/1.02 % (807)Termination phase: shuffling
% 4.07/1.02
% 4.07/1.02 % (807)Memory used [KB]: 1279
% 4.07/1.02 % (807)Time elapsed: 0.008 s
% 4.07/1.02 % (807)Instructions burned: 11 (million)
% 4.07/1.02 % (807)------------------------------
% 4.07/1.02 % (807)------------------------------
% 4.07/1.02 % (759)Instruction limit reached!
% 4.07/1.02 % (759)------------------------------
% 4.07/1.02 % (759)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.07/1.02 % (759)Termination reason: Unknown
% 4.07/1.02 % (759)Termination phase: Saturation
% 4.07/1.02
% 4.07/1.02 % (759)Memory used [KB]: 9210
% 4.07/1.02 % (759)Time elapsed: 0.579 s
% 4.07/1.02 % (759)Instructions burned: 1042 (million)
% 4.07/1.02 % (759)------------------------------
% 4.07/1.02 % (759)------------------------------
% 4.07/1.03 % (808)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2994ds/41Mi)
% 4.07/1.04 % (805)Instruction limit reached!
% 4.07/1.04 % (805)------------------------------
% 4.07/1.04 % (805)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.04 % (805)Termination reason: Unknown
% 4.66/1.04 % (805)Termination phase: Saturation
% 4.66/1.04
% 4.66/1.04 % (805)Memory used [KB]: 6268
% 4.66/1.04 % (805)Time elapsed: 0.040 s
% 4.66/1.04 % (805)Instructions burned: 72 (million)
% 4.66/1.04 % (805)------------------------------
% 4.66/1.04 % (805)------------------------------
% 4.66/1.04 % (809)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2994ds/6Mi)
% 4.66/1.04 % (803)Instruction limit reached!
% 4.66/1.04 % (803)------------------------------
% 4.66/1.04 % (803)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.04 % (803)Termination reason: Unknown
% 4.66/1.04 % (803)Termination phase: Saturation
% 4.66/1.04
% 4.66/1.04 % (803)Memory used [KB]: 6268
% 4.66/1.04 % (803)Time elapsed: 0.074 s
% 4.66/1.04 % (803)Instructions burned: 97 (million)
% 4.66/1.04 % (803)------------------------------
% 4.66/1.04 % (803)------------------------------
% 4.66/1.04 % (809)Instruction limit reached!
% 4.66/1.04 % (809)------------------------------
% 4.66/1.04 % (809)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.04 % (809)Termination reason: Unknown
% 4.66/1.04 % (809)Termination phase: shuffling
% 4.66/1.04
% 4.66/1.04 % (809)Memory used [KB]: 1151
% 4.66/1.04 % (809)Time elapsed: 0.005 s
% 4.66/1.04 % (809)Instructions burned: 7 (million)
% 4.66/1.04 % (809)------------------------------
% 4.66/1.04 % (809)------------------------------
% 4.66/1.04 % (806)Instruction limit reached!
% 4.66/1.04 % (806)------------------------------
% 4.66/1.04 % (806)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.04 % (806)Termination reason: Unknown
% 4.66/1.04 % (806)Termination phase: Saturation
% 4.66/1.04
% 4.66/1.04 % (806)Memory used [KB]: 6268
% 4.66/1.04 % (806)Time elapsed: 0.069 s
% 4.66/1.04 % (806)Instructions burned: 84 (million)
% 4.66/1.04 % (806)------------------------------
% 4.66/1.04 % (806)------------------------------
% 4.66/1.05 % (810)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on theBenchmark for (2993ds/150Mi)
% 4.66/1.05 % (808)Instruction limit reached!
% 4.66/1.05 % (808)------------------------------
% 4.66/1.05 % (808)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.05 % (808)Termination reason: Unknown
% 4.66/1.05 % (808)Termination phase: Property scanning
% 4.66/1.05
% 4.66/1.05 % (808)Memory used [KB]: 1407
% 4.66/1.05 % (808)Time elapsed: 0.024 s
% 4.66/1.05 % (808)Instructions burned: 41 (million)
% 4.66/1.05 % (808)------------------------------
% 4.66/1.05 % (808)------------------------------
% 4.66/1.06 % (811)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on theBenchmark for (2993ds/343Mi)
% 4.66/1.06 % (812)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on theBenchmark for (2993ds/109Mi)
% 4.66/1.06 % (813)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on theBenchmark for (2993ds/253Mi)
% 4.66/1.07 % (814)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on theBenchmark for (2993ds/140Mi)
% 4.66/1.08 % (804)First to succeed.
% 4.66/1.09 % (804)Refutation found. Thanks to Tanya!
% 4.66/1.09 % SZS status Theorem for theBenchmark
% 4.66/1.09 % SZS output start Proof for theBenchmark
% See solution above
% 4.66/1.09 % (804)------------------------------
% 4.66/1.09 % (804)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 4.66/1.09 % (804)Termination reason: Refutation
% 4.66/1.09
% 4.66/1.09 % (804)Memory used [KB]: 6396
% 4.66/1.09 % (804)Time elapsed: 0.118 s
% 4.66/1.09 % (804)Instructions burned: 169 (million)
% 4.66/1.09 % (804)------------------------------
% 4.66/1.09 % (804)------------------------------
% 4.66/1.09 % (744)Success in time 0.681 s
% 4.66/1.09 % Vampire---4.8 exiting
%------------------------------------------------------------------------------