TSTP Solution File: DAT056^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT056^2 : TPTP v8.2.0. Released v5.4.0.
% 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 : n014.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 19:49:29 EDT 2024
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 30
% Syntax : Number of formulae : 91 ( 33 unt; 21 typ; 0 def)
% Number of atoms : 231 ( 124 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 1053 ( 39 ~; 44 |; 0 &; 890 @)
% ( 4 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 21 usr; 19 con; 0-2 aty)
% ( 42 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 114 ( 51 ^ 58 !; 4 ?; 114 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
lst: $tType ).
thf(type_def_7,type,
a: $tType ).
thf(func_def_0,type,
lst: $tType ).
thf(func_def_1,type,
a: $tType ).
thf(func_def_2,type,
ap: lst > lst > lst ).
thf(func_def_3,type,
cns: a > lst > lst ).
thf(func_def_4,type,
nl: lst ).
thf(func_def_5,type,
xs: lst ).
thf(func_def_16,type,
sK0: lst ).
thf(func_def_17,type,
sK1: lst ).
thf(func_def_19,type,
sK3: lst ).
thf(func_def_20,type,
sK4: a ).
thf(func_def_21,type,
sK5: lst ).
thf(func_def_22,type,
sK6: a ).
thf(func_def_23,type,
sK7: lst ).
thf(func_def_24,type,
sK8: a ).
thf(func_def_25,type,
sK9: lst ).
thf(func_def_26,type,
sK10: a ).
thf(func_def_27,type,
sK11: ( lst > $o ) > lst ).
thf(func_def_28,type,
sK12: ( lst > $o ) > a ).
thf(func_def_29,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f195,plain,
$false,
inference(avatar_sat_refutation,[],[f53,f62,f175,f184,f192]) ).
thf(f192,plain,
~ spl2_4,
inference(avatar_contradiction_clause,[],[f191]) ).
thf(f191,plain,
( $false
| ~ spl2_4 ),
inference(trivial_inequality_removal,[],[f190]) ).
thf(f190,plain,
( ( ( ap @ xs @ ( ap @ sK0 @ sK1 ) )
!= ( ap @ xs @ ( ap @ sK0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(superposition,[],[f17,f61]) ).
thf(f61,plain,
( ! [X0: lst] :
( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f60]) ).
thf(f60,plain,
( spl2_4
<=> ! [X0: lst] :
( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
thf(f17,plain,
( ( ap @ xs @ ( ap @ sK0 @ sK1 ) )
!= ( ap @ ( ap @ xs @ sK0 ) @ sK1 ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ap @ xs @ ( ap @ sK0 @ sK1 ) )
!= ( ap @ ( ap @ xs @ sK0 ) @ sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f15]) ).
thf(f15,plain,
( ? [X0: lst,X1: lst] :
( ( ap @ xs @ ( ap @ X0 @ X1 ) )
!= ( ap @ ( ap @ xs @ X0 ) @ X1 ) )
=> ( ( ap @ xs @ ( ap @ sK0 @ sK1 ) )
!= ( ap @ ( ap @ xs @ sK0 ) @ sK1 ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
? [X0: lst,X1: lst] :
( ( ap @ xs @ ( ap @ X0 @ X1 ) )
!= ( ap @ ( ap @ xs @ X0 ) @ X1 ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
~ ! [X0: lst,X1: lst] :
( ( ap @ xs @ ( ap @ X0 @ X1 ) )
= ( ap @ ( ap @ xs @ X0 ) @ X1 ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X7: lst,X8: lst] :
( ( ap @ xs @ ( ap @ X7 @ X8 ) )
= ( ap @ ( ap @ xs @ X7 ) @ X8 ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X7: lst,X8: lst] :
( ( ap @ xs @ ( ap @ X7 @ X8 ) )
= ( ap @ ( ap @ xs @ X7 ) @ X8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f184,plain,
( ~ spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f183]) ).
thf(f183,plain,
( $false
| ~ spl2_2
| spl2_3 ),
inference(trivial_inequality_removal,[],[f182]) ).
thf(f182,plain,
( ( ( cns @ sK4 @ ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) )
!= ( cns @ sK4 @ ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) ) )
| ~ spl2_2
| spl2_3 ),
inference(forward_demodulation,[],[f181,f52]) ).
thf(f52,plain,
( ( ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 )
= ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f50]) ).
thf(f50,plain,
( spl2_2
<=> ( ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 )
= ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
thf(f181,plain,
( ( ( cns @ sK4 @ ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 ) )
!= ( cns @ sK4 @ ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) ) )
| spl2_3 ),
inference(superposition,[],[f178,f168]) ).
thf(f168,plain,
! [X2: lst,X3: a,X1: lst] :
( ( ap @ ( cns @ X3 @ X1 ) @ X2 )
= ( cns @ X3 @ ( ap @ X1 @ X2 ) ) ),
inference(equality_proxy_clausification,[],[f167]) ).
thf(f167,plain,
! [X2: lst,X3: a,X1: lst] :
( $true
= ( ( cns @ X3 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( cns @ X3 @ X1 ) @ X2 ) ) ),
inference(beta_eta_normalization,[],[f166]) ).
thf(f166,plain,
! [X2: lst,X3: a,X1: lst] :
( $true
= ( ^ [Y0: a] :
( ( cns @ Y0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( cns @ Y0 @ X1 ) @ X2 ) )
@ X3 ) ),
inference(pi_clausification,[],[f165]) ).
thf(f165,plain,
! [X2: lst,X1: lst] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( cns @ Y0 @ ( ap @ X1 @ X2 ) )
= ( ap @ ( cns @ Y0 @ X1 ) @ X2 ) ) ) ),
inference(beta_eta_normalization,[],[f164]) ).
thf(f164,plain,
! [X2: lst,X1: lst] :
( $true
= ( ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( cns @ Y1 @ ( ap @ X1 @ Y0 ) )
= ( ap @ ( cns @ Y1 @ X1 ) @ Y0 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f163]) ).
thf(f163,plain,
! [X1: lst] :
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( cns @ Y1 @ ( ap @ X1 @ Y0 ) )
= ( ap @ ( cns @ Y1 @ X1 ) @ Y0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f162]) ).
thf(f162,plain,
! [X1: lst] :
( $true
= ( ^ [Y0: lst] :
( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( cns @ Y2 @ ( ap @ Y0 @ Y1 ) )
= ( ap @ ( cns @ Y2 @ Y0 ) @ Y1 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( cns @ Y2 @ ( ap @ Y0 @ Y1 ) )
= ( ap @ ( cns @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( cns @ Y2 @ ( ap @ Y0 @ Y1 ) )
= ( ap @ ( cns @ Y2 @ Y0 ) @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: a,X1: lst,X2: lst] :
( ( cns @ X0 @ ( ap @ X2 @ X1 ) )
= ( ap @ ( cns @ X0 @ X2 ) @ X1 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X6: a,X4: lst,X5: lst] :
( ( ap @ ( cns @ X6 @ X5 ) @ X4 )
= ( cns @ X6 @ ( ap @ X5 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1p_Osimps_I2_J) ).
thf(f178,plain,
( ( ( cns @ sK4 @ ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) )
!= ( ap @ ( cns @ sK4 @ ( ap @ sK3 @ sK0 ) ) @ sK1 ) )
| spl2_3 ),
inference(forward_demodulation,[],[f177,f168]) ).
thf(f177,plain,
( ( ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 )
!= ( cns @ sK4 @ ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) ) )
| spl2_3 ),
inference(forward_demodulation,[],[f58,f168]) ).
thf(f58,plain,
( ( ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 )
!= ( ap @ ( cns @ sK4 @ sK3 ) @ ( ap @ sK0 @ sK1 ) ) )
| spl2_3 ),
inference(avatar_component_clause,[],[f56]) ).
thf(f56,plain,
( spl2_3
<=> ( ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 )
= ( ap @ ( cns @ sK4 @ sK3 ) @ ( ap @ sK0 @ sK1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
thf(f175,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f174]) ).
thf(f174,plain,
( $false
| spl2_1 ),
inference(trivial_inequality_removal,[],[f173]) ).
thf(f173,plain,
( ( ( ap @ sK0 @ sK1 )
!= ( ap @ sK0 @ sK1 ) )
| spl2_1 ),
inference(forward_demodulation,[],[f172,f171]) ).
thf(f171,plain,
! [X1: lst] :
( ( ap @ nl @ X1 )
= X1 ),
inference(equality_proxy_clausification,[],[f170]) ).
thf(f170,plain,
! [X1: lst] :
( $true
= ( ( ap @ nl @ X1 )
= X1 ) ),
inference(beta_eta_normalization,[],[f169]) ).
thf(f169,plain,
! [X1: lst] :
( ( ^ [Y0: lst] :
( ( ap @ nl @ Y0 )
= Y0 )
@ X1 )
= $true ),
inference(pi_clausification,[],[f18]) ).
thf(f18,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( ap @ nl @ Y0 )
= Y0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f10,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( ap @ nl @ Y0 )
= Y0 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f9,plain,
! [X0: lst] :
( ( ap @ nl @ X0 )
= X0 ),
inference(rectify,[],[f3]) ).
thf(f3,axiom,
! [X4: lst] :
( ( ap @ nl @ X4 )
= X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2p_Osimps_I1_J) ).
thf(f172,plain,
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ sK0 @ sK1 ) )
| spl2_1 ),
inference(forward_demodulation,[],[f48,f171]) ).
thf(f48,plain,
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| spl2_1 ),
inference(avatar_component_clause,[],[f46]) ).
thf(f46,plain,
( spl2_1
<=> ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
thf(f62,plain,
( ~ spl2_3
| spl2_4
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f54,f46,f60,f56]) ).
thf(f54,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 )
!= ( ap @ ( cns @ sK4 @ sK3 ) @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(equality_proxy_clausification,[],[f41]) ).
thf(f41,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ( ap @ ( cns @ sK4 @ sK3 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f40]) ).
thf(f40,plain,
! [X0: lst] :
( ( ( ( ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ sK4 @ sK3 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ sK4 @ sK3 ) @ sK0 ) @ sK1 ) ) )
= $false )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(beta_eta_normalization,[],[f39]) ).
thf(f39,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( $false
= ( ^ [Y0: a] :
( ( ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y0 @ sK3 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y0 @ sK3 ) @ sK0 ) @ sK1 ) ) )
@ sK4 ) ) ),
inference(sigma_clausification,[],[f38]) ).
thf(f38,plain,
! [X0: lst] :
( ( ( !! @ a
@ ^ [Y0: a] :
( ( ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y0 @ sK3 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y0 @ sK3 ) @ sK0 ) @ sK1 ) ) ) )
= $false )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(beta_eta_normalization,[],[f37]) ).
thf(f37,plain,
! [X0: lst] :
( ( ( ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) )
@ sK3 )
= $false )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(sigma_clausification,[],[f36]) ).
thf(f36,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) ) )
= $false )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(equality_proxy_clausification,[],[f35]) ).
thf(f35,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ( ap @ X0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ X0 @ sK0 ) @ sK1 ) )
= $true )
| ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) ) )
= $false ) ),
inference(equality_proxy_clausification,[],[f34]) ).
thf(f34,plain,
! [X0: lst] :
( ( $false
= ( ( ap @ nl @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ nl @ sK0 ) @ sK1 ) ) )
| ( ( ( ap @ X0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ X0 @ sK0 ) @ sK1 ) )
= $true )
| ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[],[f33]) ).
thf(f33,plain,
! [X0: lst] :
( ( $true
= ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) ) )
=> ( ( ap @ X0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ X0 @ sK0 ) @ sK1 ) ) ) )
| ( $false
= ( ( ap @ nl @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ nl @ sK0 ) @ sK1 ) ) ) ),
inference(binary_proxy_clausification,[],[f32]) ).
thf(f32,plain,
! [X0: lst] :
( $true
= ( ( ( ap @ nl @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ nl @ sK0 ) @ sK1 ) )
=> ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) )
=> ( ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK0 ) @ sK1 ) ) ) ) )
=> ( ( ap @ X0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ X0 @ sK0 ) @ sK1 ) ) ) ) ),
inference(beta_eta_normalization,[],[f26]) ).
thf(f26,plain,
! [X0: lst] :
( $true
= ( ^ [Y0: lst > $o] :
( ( Y0 @ nl )
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cns @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ X0 ) ) )
@ ^ [Y0: lst] :
( ( ap @ Y0 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ Y0 @ sK0 ) @ sK1 ) ) ) ),
inference(heuristic_instantiation,[],[f22]) ).
thf(f22,plain,
! [X1: lst] :
( ( !! @ ( lst > $o )
@ ^ [Y0: lst > $o] :
( ( Y0 @ nl )
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ Y1 )
=> ( Y0 @ ( cns @ Y2 @ Y1 ) ) ) ) )
=> ( Y0 @ X1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
! [X1: lst] :
( $true
= ( ^ [Y0: lst] :
( !! @ ( lst > $o )
@ ^ [Y1: lst > $o] :
( ( Y1 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f19]) ).
thf(f19,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ ( lst > $o )
@ ^ [Y1: lst > $o] :
( ( Y1 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ ( lst > $o )
@ ^ [Y1: lst > $o] :
( ( Y1 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ Y2 )
=> ( Y1 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y1 @ Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: lst > $o,X1: lst] :
( ( X0 @ nl )
=> ( ! [X2: a,X3: lst] :
( ( X0 @ X3 )
=> ( X0 @ ( cns @ X2 @ X3 ) ) )
=> ( X0 @ X1 ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X1: lst > $o,X0: lst] :
( ( X1 @ nl )
=> ( ! [X2: a,X3: lst] :
( ( X1 @ X3 )
=> ( X1 @ ( cns @ X2 @ X3 ) ) )
=> ( X1 @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_lst_Oinduct) ).
thf(f53,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f44,f50,f46]) ).
thf(f44,plain,
( ( ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 )
= ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(condensation,[],[f43]) ).
thf(f43,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 )
= ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(equality_proxy_clausification,[],[f42]) ).
thf(f42,plain,
! [X0: lst] :
( ( ( ap @ ( ap @ X0 @ sK0 ) @ sK1 )
= ( ap @ X0 @ ( ap @ sK0 @ sK1 ) ) )
| ( $true
= ( ( ap @ sK3 @ ( ap @ sK0 @ sK1 ) )
= ( ap @ ( ap @ sK3 @ sK0 ) @ sK1 ) ) )
| ( ( ap @ ( ap @ nl @ sK0 ) @ sK1 )
!= ( ap @ nl @ ( ap @ sK0 @ sK1 ) ) ) ),
inference(binary_proxy_clausification,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT056^2 : TPTP v8.2.0. Released v5.4.0.
% 0.11/0.13 % 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
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 23:32:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a TH0_THM_EQU_NAR problem
% 0.13/0.35 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
% 0.13/0.36 % (24061)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)
% 0.13/0.36 % (24062)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.13/0.36 % (24061)Refutation not found, incomplete strategy
% 0.13/0.36 % (24061)------------------------------
% 0.13/0.36 % (24061)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (24061)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.36
% 0.13/0.36
% 0.13/0.36 % (24061)Memory used [KB]: 5373
% 0.13/0.36 % (24061)Time elapsed: 0.002 s
% 0.13/0.36 % (24061)Instructions burned: 1 (million)
% 0.13/0.36 % (24061)------------------------------
% 0.13/0.36 % (24061)------------------------------
% 0.13/0.36 % (24057)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)
% 0.13/0.36 % (24059)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.13/0.36 % (24056)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.13/0.36 % (24058)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)
% 0.13/0.36 % (24060)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)
% 0.13/0.36 % (24063)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)
% 0.13/0.36 % (24059)Instruction limit reached!
% 0.13/0.36 % (24059)------------------------------
% 0.13/0.36 % (24059)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.36 % (24059)Termination reason: Unknown
% 0.13/0.36 % (24059)Termination phase: Saturation
% 0.13/0.36
% 0.13/0.36 % (24059)Memory used [KB]: 5373
% 0.13/0.36 % (24059)Time elapsed: 0.003 s
% 0.13/0.36 % (24059)Instructions burned: 2 (million)
% 0.13/0.36 % (24059)------------------------------
% 0.13/0.36 % (24059)------------------------------
% 0.13/0.36 % (24060)Instruction limit reached!
% 0.13/0.36 % (24060)------------------------------
% 0.13/0.36 % (24060)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24060)Termination reason: Unknown
% 0.13/0.37 % (24060)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (24060)Memory used [KB]: 895
% 0.13/0.37 % (24060)Time elapsed: 0.003 s
% 0.13/0.37 % (24060)Instructions burned: 2 (million)
% 0.13/0.37 % (24060)------------------------------
% 0.13/0.37 % (24060)------------------------------
% 0.13/0.37 % (24063)Instruction limit reached!
% 0.13/0.37 % (24063)------------------------------
% 0.13/0.37 % (24063)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24063)Termination reason: Unknown
% 0.13/0.37 % (24063)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (24063)Memory used [KB]: 5500
% 0.13/0.37 % (24063)Time elapsed: 0.004 s
% 0.13/0.37 % (24058)Refutation not found, incomplete strategy
% 0.13/0.37 % (24058)------------------------------
% 0.13/0.37 % (24058)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24058)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % (24058)Memory used [KB]: 5500
% 0.13/0.37 % (24058)Time elapsed: 0.004 s
% 0.13/0.37 % (24058)Instructions burned: 3 (million)
% 0.13/0.37 % (24058)------------------------------
% 0.13/0.37 % (24058)------------------------------
% 0.13/0.37 % (24063)Instructions burned: 3 (million)
% 0.13/0.37 % (24063)------------------------------
% 0.13/0.37 % (24063)------------------------------
% 0.13/0.37 % (24057)Instruction limit reached!
% 0.13/0.37 % (24057)------------------------------
% 0.13/0.37 % (24057)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24057)Termination reason: Unknown
% 0.13/0.37 % (24057)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (24057)Memory used [KB]: 5500
% 0.13/0.37 % (24057)Time elapsed: 0.005 s
% 0.13/0.37 % (24057)Instructions burned: 5 (million)
% 0.13/0.37 % (24057)------------------------------
% 0.13/0.37 % (24057)------------------------------
% 0.13/0.37 % (24062)Instruction limit reached!
% 0.13/0.37 % (24062)------------------------------
% 0.13/0.37 % (24062)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.37 % (24062)Termination reason: Unknown
% 0.13/0.37 % (24062)Termination phase: Saturation
% 0.13/0.37
% 0.13/0.37 % (24062)Memory used [KB]: 5628
% 0.13/0.37 % (24062)Time elapsed: 0.011 s
% 0.13/0.37 % (24062)Instructions burned: 19 (million)
% 0.13/0.37 % (24062)------------------------------
% 0.13/0.37 % (24062)------------------------------
% 0.13/0.38 % (24064)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)
% 0.13/0.38 % (24065)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)
% 0.13/0.38 % (24066)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)
% 0.13/0.38 % (24065)Refutation not found, incomplete strategy
% 0.13/0.38 % (24065)------------------------------
% 0.13/0.38 % (24065)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (24068)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.13/0.38 % (24067)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)
% 0.13/0.38 % (24065)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 % (24065)Memory used [KB]: 5500
% 0.13/0.38 % (24065)Time elapsed: 0.003 s
% 0.13/0.38 % (24065)Instructions burned: 2 (million)
% 0.13/0.38 % (24065)------------------------------
% 0.13/0.38 % (24065)------------------------------
% 0.13/0.38 % (24069)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.13/0.38 % (24066)Instruction limit reached!
% 0.13/0.38 % (24066)------------------------------
% 0.13/0.38 % (24066)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.38 % (24066)Termination reason: Unknown
% 0.13/0.38 % (24066)Termination phase: Saturation
% 0.13/0.38
% 0.13/0.38 % (24066)Memory used [KB]: 5500
% 0.13/0.38 % (24066)Time elapsed: 0.004 s
% 0.13/0.38 % (24066)Instructions burned: 3 (million)
% 0.13/0.38 % (24066)------------------------------
% 0.13/0.38 % (24066)------------------------------
% 0.13/0.39 % (24068)Instruction limit reached!
% 0.13/0.39 % (24068)------------------------------
% 0.13/0.39 % (24068)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24068)Termination reason: Unknown
% 0.13/0.39 % (24068)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24068)Memory used [KB]: 1023
% 0.13/0.39 % (24068)Time elapsed: 0.007 s
% 0.13/0.39 % (24068)Instructions burned: 7 (million)
% 0.13/0.39 % (24068)------------------------------
% 0.13/0.39 % (24068)------------------------------
% 0.13/0.39 % (24070)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)
% 0.13/0.39 % (24070)Instruction limit reached!
% 0.13/0.39 % (24070)------------------------------
% 0.13/0.39 % (24070)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24070)Termination reason: Unknown
% 0.13/0.39 % (24070)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24070)Memory used [KB]: 5500
% 0.13/0.39 % (24070)Time elapsed: 0.003 s
% 0.13/0.39 % (24070)Instructions burned: 3 (million)
% 0.13/0.39 % (24070)------------------------------
% 0.13/0.39 % (24070)------------------------------
% 0.13/0.39 % (24064)Instruction limit reached!
% 0.13/0.39 % (24064)------------------------------
% 0.13/0.39 % (24064)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24064)Termination reason: Unknown
% 0.13/0.39 % (24064)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24064)Memory used [KB]: 5756
% 0.13/0.39 % (24064)Time elapsed: 0.016 s
% 0.13/0.39 % (24064)Instructions burned: 38 (million)
% 0.13/0.39 % (24064)------------------------------
% 0.13/0.39 % (24064)------------------------------
% 0.13/0.39 % (24069)Instruction limit reached!
% 0.13/0.39 % (24069)------------------------------
% 0.13/0.39 % (24069)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.39 % (24069)Termination reason: Unknown
% 0.13/0.39 % (24069)Termination phase: Saturation
% 0.13/0.39
% 0.13/0.39 % (24069)Memory used [KB]: 5628
% 0.13/0.39 % (24069)Time elapsed: 0.013 s
% 0.13/0.39 % (24069)Instructions burned: 16 (million)
% 0.13/0.39 % (24069)------------------------------
% 0.13/0.39 % (24069)------------------------------
% 0.13/0.40 % (24071)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)
% 0.13/0.40 % (24072)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)
% 0.13/0.40 % (24071)Instruction limit reached!
% 0.13/0.40 % (24071)------------------------------
% 0.13/0.40 % (24071)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (24071)Termination reason: Unknown
% 0.13/0.40 % (24071)Termination phase: Property scanning
% 0.13/0.40
% 0.13/0.40 % (24071)Memory used [KB]: 895
% 0.13/0.40 % (24071)Time elapsed: 0.003 s
% 0.13/0.40 % (24071)Instructions burned: 3 (million)
% 0.13/0.40 % (24071)------------------------------
% 0.13/0.40 % (24071)------------------------------
% 0.13/0.40 % (24072)Instruction limit reached!
% 0.13/0.40 % (24072)------------------------------
% 0.13/0.40 % (24072)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (24072)Termination reason: Unknown
% 0.13/0.40 % (24074)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.13/0.40 % (24072)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (24072)Memory used [KB]: 5500
% 0.13/0.40 % (24072)Time elapsed: 0.007 s
% 0.13/0.40 % (24072)Instructions burned: 8 (million)
% 0.13/0.40 % (24072)------------------------------
% 0.13/0.40 % (24072)------------------------------
% 0.13/0.40 % (24074)Instruction limit reached!
% 0.13/0.40 % (24074)------------------------------
% 0.13/0.40 % (24074)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.40 % (24074)Termination reason: Unknown
% 0.13/0.40 % (24074)Termination phase: Saturation
% 0.13/0.40
% 0.13/0.40 % (24074)Memory used [KB]: 5500
% 0.13/0.40 % (24074)Time elapsed: 0.003 s
% 0.13/0.40 % (24074)Instructions burned: 4 (million)
% 0.13/0.40 % (24074)------------------------------
% 0.13/0.40 % (24074)------------------------------
% 0.20/0.41 % (24076)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.20/0.41 % (24075)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)
% 0.20/0.41 % (24073)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)
% 0.20/0.41 % (24075)Refutation not found, incomplete strategy
% 0.20/0.41 % (24075)------------------------------
% 0.20/0.41 % (24075)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (24075)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (24075)Memory used [KB]: 5500
% 0.20/0.41 % (24075)Time elapsed: 0.004 s
% 0.20/0.41 % (24075)Instructions burned: 3 (million)
% 0.20/0.41 % (24075)------------------------------
% 0.20/0.41 % (24075)------------------------------
% 0.20/0.41 % (24073)Instruction limit reached!
% 0.20/0.41 % (24073)------------------------------
% 0.20/0.41 % (24073)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.41 % (24073)Termination reason: Unknown
% 0.20/0.41 % (24073)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (24073)Memory used [KB]: 5500
% 0.20/0.41 % (24073)Time elapsed: 0.005 s
% 0.20/0.41 % (24073)Instructions burned: 3 (million)
% 0.20/0.41 % (24073)------------------------------
% 0.20/0.41 % (24073)------------------------------
% 0.20/0.41 % (24077)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.42 % (24077)Instruction limit reached!
% 0.20/0.42 % (24077)------------------------------
% 0.20/0.42 % (24077)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (24077)Termination reason: Unknown
% 0.20/0.42 % (24077)Termination phase: Saturation
% 0.20/0.42
% 0.20/0.42 % (24077)Memory used [KB]: 5500
% 0.20/0.42 % (24077)Time elapsed: 0.006 s
% 0.20/0.42 % (24077)Instructions burned: 6 (million)
% 0.20/0.42 % (24077)------------------------------
% 0.20/0.42 % (24077)------------------------------
% 0.20/0.42 % (24078)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)
% 0.20/0.42 % (24079)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)
% 0.20/0.42 % (24078)Refutation not found, incomplete strategy
% 0.20/0.42 % (24078)------------------------------
% 0.20/0.42 % (24078)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.42 % (24078)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (24078)Memory used [KB]: 5500
% 0.20/0.42 % (24078)Time elapsed: 0.003 s
% 0.20/0.42 % (24078)Instructions burned: 2 (million)
% 0.20/0.42 % (24078)------------------------------
% 0.20/0.42 % (24078)------------------------------
% 0.20/0.42 % (24080)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.43 % (24079)Instruction limit reached!
% 0.20/0.43 % (24079)------------------------------
% 0.20/0.43 % (24079)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (24079)Termination reason: Unknown
% 0.20/0.43 % (24079)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (24079)Memory used [KB]: 5628
% 0.20/0.43 % (24079)Time elapsed: 0.012 s
% 0.20/0.43 % (24079)Instructions burned: 22 (million)
% 0.20/0.43 % (24079)------------------------------
% 0.20/0.43 % (24079)------------------------------
% 0.20/0.43 % (24080)Instruction limit reached!
% 0.20/0.43 % (24080)------------------------------
% 0.20/0.43 % (24080)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.43 % (24080)Termination reason: Unknown
% 0.20/0.43 % (24080)Termination phase: Saturation
% 0.20/0.43
% 0.20/0.43 % (24080)Memory used [KB]: 5500
% 0.20/0.43 % (24080)Time elapsed: 0.006 s
% 0.20/0.43 % (24080)Instructions burned: 6 (million)
% 0.20/0.43 % (24080)------------------------------
% 0.20/0.43 % (24080)------------------------------
% 0.20/0.43 % (24082)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.20/0.43 % (24083)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 (2999ds/779Mi)
% 0.20/0.44 % (24081)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)
% 0.20/0.44 % (24083)Refutation not found, incomplete strategy
% 0.20/0.44 % (24083)------------------------------
% 0.20/0.44 % (24083)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (24083)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (24083)Memory used [KB]: 5500
% 0.20/0.44 % (24083)Time elapsed: 0.007 s
% 0.20/0.44 % (24083)Instructions burned: 8 (million)
% 0.20/0.44 % (24083)------------------------------
% 0.20/0.44 % (24083)------------------------------
% 0.20/0.44 % (24081)Refutation not found, incomplete strategy
% 0.20/0.44 % (24081)------------------------------
% 0.20/0.44 % (24081)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.44 % (24081)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % (24081)Memory used [KB]: 5500
% 0.20/0.44 % (24081)Time elapsed: 0.004 s
% 0.20/0.44 % (24081)Instructions burned: 2 (million)
% 0.20/0.44 % (24081)------------------------------
% 0.20/0.44 % (24081)------------------------------
% 0.20/0.44 % (24085)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.20/0.45 % (24084)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 (2999ds/19Mi)
% 0.20/0.45 % (24084)Refutation not found, incomplete strategy
% 0.20/0.45 % (24084)------------------------------
% 0.20/0.45 % (24084)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.45 % (24084)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 % (24084)Memory used [KB]: 5500
% 0.20/0.45 % (24084)Time elapsed: 0.005 s
% 0.20/0.45 % (24084)Instructions burned: 2 (million)
% 0.20/0.45 % (24084)------------------------------
% 0.20/0.45 % (24084)------------------------------
% 0.20/0.45 % (24086)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.20/0.46 % (24087)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.46 % (24087)Instruction limit reached!
% 0.20/0.46 % (24087)------------------------------
% 0.20/0.46 % (24087)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (24087)Termination reason: Unknown
% 0.20/0.46 % (24087)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (24087)Memory used [KB]: 1023
% 0.20/0.46 % (24087)Time elapsed: 0.004 s
% 0.20/0.46 % (24087)Instructions burned: 3 (million)
% 0.20/0.46 % (24087)------------------------------
% 0.20/0.46 % (24087)------------------------------
% 0.20/0.46 % (24088)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.46 % (24086)Instruction limit reached!
% 0.20/0.46 % (24086)------------------------------
% 0.20/0.46 % (24086)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.46 % (24086)Termination reason: Unknown
% 0.20/0.46 % (24086)Termination phase: Saturation
% 0.20/0.46
% 0.20/0.46 % (24086)Memory used [KB]: 5628
% 0.20/0.46 % (24086)Time elapsed: 0.011 s
% 0.20/0.46 % (24086)Instructions burned: 17 (million)
% 0.20/0.46 % (24086)------------------------------
% 0.20/0.46 % (24086)------------------------------
% 0.20/0.47 % (24090)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 (2998ds/100Mi)
% 0.20/0.47 % (24089)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 (2999ds/127Mi)
% 0.20/0.48 % (24090)First to succeed.
% 0.20/0.48 % (24088)Instruction limit reached!
% 0.20/0.48 % (24088)------------------------------
% 0.20/0.48 % (24088)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (24088)Termination reason: Unknown
% 0.20/0.48 % (24088)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (24088)Memory used [KB]: 5756
% 0.20/0.48 % (24088)Time elapsed: 0.020 s
% 0.20/0.48 % (24088)Instructions burned: 31 (million)
% 0.20/0.48 % (24088)------------------------------
% 0.20/0.48 % (24088)------------------------------
% 0.20/0.48 % (24090)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Theorem for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (24090)------------------------------
% 0.20/0.48 % (24090)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.20/0.48 % (24090)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (24090)Memory used [KB]: 5628
% 0.20/0.48 % (24090)Time elapsed: 0.009 s
% 0.20/0.48 % (24090)Instructions burned: 17 (million)
% 0.20/0.48 % (24090)------------------------------
% 0.20/0.48 % (24090)------------------------------
% 0.20/0.48 % (24055)Success in time 0.117 s
% 0.20/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------