TSTP Solution File: DAT056^2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : DAT056^2 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Sun May 5 05:04:25 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 28
% Syntax : Number of formulae : 84 ( 38 unt; 21 typ; 0 def)
% Number of atoms : 227 ( 127 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 1049 ( 16 ~; 20 |; 0 &; 918 @)
% ( 2 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 23 ( 19 usr; 17 con; 0-2 aty)
% ( 50 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 121 ( 59 ^ 57 !; 4 ?; 121 :)
% ( 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_17,type,
sK0: lst ).
thf(func_def_18,type,
sK1: lst ).
thf(func_def_20,type,
sK3: lst ).
thf(func_def_21,type,
sK4: a ).
thf(func_def_22,type,
sK5: ( lst > $o ) > lst ).
thf(func_def_23,type,
sK6: ( lst > $o ) > a ).
thf(func_def_24,type,
sK7: lst ).
thf(func_def_25,type,
sK8: a ).
thf(func_def_26,type,
sK9: lst ).
thf(func_def_27,type,
sK10: a ).
thf(func_def_28,type,
sK11: lst ).
thf(func_def_29,type,
sK12: a ).
thf(func_def_30,type,
ph13:
!>[X0: $tType] : X0 ).
thf(f189,plain,
$false,
inference(avatar_sat_refutation,[],[f175,f180,f187]) ).
thf(f187,plain,
~ spl2_14,
inference(avatar_contradiction_clause,[],[f186]) ).
thf(f186,plain,
( $false
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f185]) ).
thf(f185,plain,
( ( ( ap @ xs @ ( ap @ sK1 @ sK0 ) )
!= ( ap @ xs @ ( ap @ sK1 @ sK0 ) ) )
| ~ spl2_14 ),
inference(superposition,[],[f19,f174]) ).
thf(f174,plain,
( ! [X1: lst] :
( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f173]) ).
thf(f173,plain,
( spl2_14
<=> ! [X1: lst] :
( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
thf(f19,plain,
( ( ap @ ( ap @ xs @ sK1 ) @ sK0 )
!= ( ap @ xs @ ( ap @ sK1 @ sK0 ) ) ),
inference(cnf_transformation,[],[f16]) ).
thf(f16,plain,
( ( ap @ ( ap @ xs @ sK1 ) @ sK0 )
!= ( ap @ xs @ ( ap @ sK1 @ sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f14,f15]) ).
thf(f15,plain,
( ? [X0: lst,X1: lst] :
( ( ap @ ( ap @ xs @ X1 ) @ X0 )
!= ( ap @ xs @ ( ap @ X1 @ X0 ) ) )
=> ( ( ap @ ( ap @ xs @ sK1 ) @ sK0 )
!= ( ap @ xs @ ( ap @ sK1 @ sK0 ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f14,plain,
? [X0: lst,X1: lst] :
( ( ap @ ( ap @ xs @ X1 ) @ X0 )
!= ( ap @ xs @ ( ap @ X1 @ X0 ) ) ),
inference(ennf_transformation,[],[f13]) ).
thf(f13,plain,
~ ! [X0: lst,X1: lst] :
( ( ap @ ( ap @ xs @ X1 ) @ X0 )
= ( ap @ xs @ ( ap @ X1 @ X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f5,negated_conjecture,
~ ! [X8: lst,X7: lst] :
( ( ap @ xs @ ( ap @ X7 @ X8 ) )
= ( ap @ ( ap @ xs @ X7 ) @ X8 ) ),
inference(negated_conjecture,[],[f4]) ).
thf(f4,conjecture,
! [X8: lst,X7: lst] :
( ( ap @ xs @ ( ap @ X7 @ X8 ) )
= ( ap @ ( ap @ xs @ X7 ) @ X8 ) ),
file('/export/starexec/sandbox/tmp/tmp.iPFaGaScBr/Vampire---4.8_20652',conj_0) ).
thf(f180,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f179]) ).
thf(f179,plain,
( $false
| spl2_13 ),
inference(trivial_inequality_removal,[],[f178]) ).
thf(f178,plain,
( ( ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
!= ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ) )
| spl2_13 ),
inference(forward_demodulation,[],[f171,f177]) ).
thf(f177,plain,
( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ),
inference(condensation,[],[f176]) ).
thf(f176,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ) ),
inference(equality_proxy_clausification,[],[f166]) ).
thf(f166,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( $true
= ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ) ) ),
inference(binary_proxy_clausification,[],[f164]) ).
thf(f164,plain,
! [X1: lst] :
( ( ( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) )
= ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ) ) )
= $false )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(forward_demodulation,[],[f163,f27]) ).
thf(f27,plain,
! [X2: a,X3: lst,X1: lst] :
( ( cns @ X2 @ ( ap @ X1 @ X3 ) )
= ( ap @ ( cns @ X2 @ X1 ) @ X3 ) ),
inference(equality_proxy_clausification,[],[f26]) ).
thf(f26,plain,
! [X2: a,X3: lst,X1: lst] :
( $true
= ( ( cns @ X2 @ ( ap @ X1 @ X3 ) )
= ( ap @ ( cns @ X2 @ X1 ) @ X3 ) ) ),
inference(beta_eta_normalization,[],[f25]) ).
thf(f25,plain,
! [X2: a,X3: lst,X1: lst] :
( ( ^ [Y0: lst] :
( ( cns @ X2 @ ( ap @ X1 @ Y0 ) )
= ( ap @ ( cns @ X2 @ X1 ) @ Y0 ) )
@ X3 )
= $true ),
inference(pi_clausification,[],[f24]) ).
thf(f24,plain,
! [X2: a,X1: lst] :
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( cns @ X2 @ ( ap @ X1 @ Y0 ) )
= ( ap @ ( cns @ X2 @ X1 ) @ Y0 ) ) ) ),
inference(beta_eta_normalization,[],[f23]) ).
thf(f23,plain,
! [X2: a,X1: lst] :
( $true
= ( ^ [Y0: a] :
( !! @ lst
@ ^ [Y1: lst] :
( ( cns @ Y0 @ ( ap @ X1 @ Y1 ) )
= ( ap @ ( cns @ Y0 @ X1 ) @ Y1 ) ) )
@ X2 ) ),
inference(pi_clausification,[],[f22]) ).
thf(f22,plain,
! [X1: lst] :
( ( !! @ a
@ ^ [Y0: a] :
( !! @ lst
@ ^ [Y1: lst] :
( ( cns @ Y0 @ ( ap @ X1 @ Y1 ) )
= ( ap @ ( cns @ Y0 @ X1 ) @ Y1 ) ) ) )
= $true ),
inference(beta_eta_normalization,[],[f21]) ).
thf(f21,plain,
! [X1: lst] :
( $true
= ( ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( !! @ lst
@ ^ [Y2: lst] :
( ( cns @ Y1 @ ( ap @ Y0 @ Y2 ) )
= ( ap @ ( cns @ Y1 @ Y0 ) @ Y2 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f20]) ).
thf(f20,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( !! @ lst
@ ^ [Y2: lst] :
( ( cns @ Y1 @ ( ap @ Y0 @ Y2 ) )
= ( ap @ ( cns @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(cnf_transformation,[],[f12]) ).
thf(f12,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( !! @ lst
@ ^ [Y2: lst] :
( ( cns @ Y1 @ ( ap @ Y0 @ Y2 ) )
= ( ap @ ( cns @ Y1 @ Y0 ) @ Y2 ) ) ) ) ) ),
inference(fool_elimination,[],[f11]) ).
thf(f11,plain,
! [X0: lst,X1: a,X2: lst] :
( ( cns @ X1 @ ( ap @ X2 @ X0 ) )
= ( ap @ ( cns @ X1 @ X2 ) @ X0 ) ),
inference(rectify,[],[f2]) ).
thf(f2,axiom,
! [X4: lst,X6: a,X5: lst] :
( ( ap @ ( cns @ X6 @ X5 ) @ X4 )
= ( cns @ X6 @ ( ap @ X5 @ X4 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iPFaGaScBr/Vampire---4.8_20652',fact_1p_Osimps_I2_J) ).
thf(f163,plain,
! [X1: lst] :
( ( $false
= ( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) )
= ( ap @ ( cns @ sK12 @ sK11 ) @ ( ap @ sK1 @ sK0 ) ) ) ) )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(forward_demodulation,[],[f162,f27]) ).
thf(f162,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( $false
= ( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( cns @ sK12 @ ( ap @ sK11 @ sK1 ) ) @ sK0 )
= ( ap @ ( cns @ sK12 @ sK11 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) ),
inference(forward_demodulation,[],[f161,f27]) ).
thf(f161,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( $false
= ( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ sK12 @ sK11 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ sK12 @ sK11 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f160]) ).
thf(f160,plain,
! [X1: lst] :
( ( $false
= ( ^ [Y0: a] :
( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y0 @ sK11 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y0 @ sK11 ) @ ( ap @ sK1 @ sK0 ) ) ) )
@ sK12 ) )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(sigma_clausification,[],[f159]) ).
thf(f159,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 )
= ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y0 @ sK11 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y0 @ sK11 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f158]) ).
thf(f158,plain,
! [X1: lst] :
( ( $false
= ( ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK1 @ sK0 ) ) ) ) )
@ sK11 ) )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(sigma_clausification,[],[f157]) ).
thf(f157,plain,
! [X1: lst] :
( ( $false
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(equality_proxy_clausification,[],[f156]) ).
thf(f156,plain,
! [X1: lst] :
( ( $true
= ( ( ap @ ( ap @ X1 @ sK1 ) @ sK0 )
= ( ap @ X1 @ ( ap @ sK1 @ sK0 ) ) ) )
| ( $false
= ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f155]) ).
thf(f155,plain,
! [X1: lst] :
( $true
= ( ( !! @ lst
@ ^ [Y0: lst] :
( !! @ a
@ ^ [Y1: a] :
( ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y1 @ Y0 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y1 @ Y0 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ X1 @ sK1 ) @ sK0 )
= ( ap @ X1 @ ( ap @ sK1 @ sK0 ) ) ) ) ),
inference(beta_eta_normalization,[],[f154]) ).
thf(f154,plain,
! [X1: lst] :
( $true
= ( ^ [Y0: lst] :
( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) )
@ X1 ) ),
inference(pi_clausification,[],[f153]) ).
thf(f153,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ),
inference(boolean_simplification,[],[f152]) ).
thf(f152,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( $true
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f151]) ).
thf(f151,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( ( ap @ sK1 @ sK0 )
= ( ap @ sK1 @ sK0 ) )
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f150,f30]) ).
thf(f30,plain,
! [X1: lst] :
( ( ap @ nl @ X1 )
= X1 ),
inference(equality_proxy_clausification,[],[f29]) ).
thf(f29,plain,
! [X1: lst] :
( ( ( ap @ nl @ X1 )
= X1 )
= $true ),
inference(beta_eta_normalization,[],[f28]) ).
thf(f28,plain,
! [X1: lst] :
( $true
= ( ^ [Y0: lst] :
( ( ap @ nl @ Y0 )
= Y0 )
@ X1 ) ),
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/sandbox/tmp/tmp.iPFaGaScBr/Vampire---4.8_20652',fact_2p_Osimps_I1_J) ).
thf(f150,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( ( ap @ sK1 @ sK0 )
= ( ap @ nl @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(forward_demodulation,[],[f36,f30]) ).
thf(f36,plain,
( $true
= ( !! @ lst
@ ^ [Y0: lst] :
( ( ( ap @ ( ap @ nl @ sK1 ) @ sK0 )
= ( ap @ nl @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( !! @ lst
@ ^ [Y1: lst] :
( !! @ a
@ ^ [Y2: a] :
( ( ( ap @ ( ap @ Y1 @ sK1 ) @ sK0 )
= ( ap @ Y1 @ ( ap @ sK1 @ sK0 ) ) )
=> ( ( ap @ ( ap @ ( cns @ Y2 @ Y1 ) @ sK1 ) @ sK0 )
= ( ap @ ( cns @ Y2 @ Y1 ) @ ( ap @ sK1 @ sK0 ) ) ) ) ) )
=> ( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[],[f31]) ).
thf(f31,plain,
( $true
= ( ^ [Y0: lst > $o] :
( !! @ lst
@ ^ [Y1: lst] :
( ( Y0 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: lst] :
( ( ap @ ( ap @ Y0 @ sK1 ) @ sK0 )
= ( ap @ Y0 @ ( ap @ sK1 @ sK0 ) ) ) ) ),
inference(heuristic_instantiation,[],[f17]) ).
thf(f17,plain,
( $true
= ( !! @ ( lst > $o )
@ ^ [Y0: lst > $o] :
( !! @ lst
@ ^ [Y1: lst] :
( ( Y0 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f8,plain,
( $true
= ( !! @ ( lst > $o )
@ ^ [Y0: lst > $o] :
( !! @ lst
@ ^ [Y1: lst] :
( ( Y0 @ nl )
=> ( ( !! @ lst
@ ^ [Y2: lst] :
( !! @ a
@ ^ [Y3: a] :
( ( Y0 @ Y2 )
=> ( Y0 @ ( cns @ Y3 @ Y2 ) ) ) ) )
=> ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f7]) ).
thf(f7,plain,
! [X0: lst,X1: lst > $o] :
( ( X1 @ nl )
=> ( ! [X2: a,X3: lst] :
( ( X1 @ X3 )
=> ( X1 @ ( cns @ X2 @ X3 ) ) )
=> ( X1 @ X0 ) ) ),
inference(rectify,[],[f1]) ).
thf(f1,axiom,
! [X0: lst,X1: lst > $o] :
( ( X1 @ nl )
=> ( ! [X2: a,X3: lst] :
( ( X1 @ X3 )
=> ( X1 @ ( cns @ X2 @ X3 ) ) )
=> ( X1 @ X0 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.iPFaGaScBr/Vampire---4.8_20652',fact_0_lst_Oinduct) ).
thf(f171,plain,
( ( ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
!= ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) ) )
| spl2_13 ),
inference(avatar_component_clause,[],[f169]) ).
thf(f169,plain,
( spl2_13
<=> ( ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
= ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
thf(f175,plain,
( ~ spl2_13
| spl2_14 ),
inference(avatar_split_clause,[],[f167,f173,f169]) ).
thf(f167,plain,
! [X1: lst] :
( ( ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) )
!= ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) ) )
| ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) ) ),
inference(equality_proxy_clausification,[],[f165]) ).
thf(f165,plain,
! [X1: lst] :
( ( ( ap @ X1 @ ( ap @ sK1 @ sK0 ) )
= ( ap @ ( ap @ X1 @ sK1 ) @ sK0 ) )
| ( $false
= ( ( cns @ sK12 @ ( ap @ ( ap @ sK11 @ sK1 ) @ sK0 ) )
= ( cns @ sK12 @ ( ap @ sK11 @ ( ap @ sK1 @ sK0 ) ) ) ) ) ),
inference(binary_proxy_clausification,[],[f164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : DAT056^2 : TPTP v8.1.2. Released v5.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 13:37:05 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/tmp/tmp.iPFaGaScBr/Vampire---4.8_20652
% 0.21/0.38 % (20902)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 Vampire---4 for (2999ds/27Mi)
% 0.21/0.38 % (20902)Refutation not found, incomplete strategy
% 0.21/0.38 % (20902)------------------------------
% 0.21/0.38 % (20902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20902)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (20902)Memory used [KB]: 5500
% 0.21/0.38 % (20902)Time elapsed: 0.004 s
% 0.21/0.38 % (20902)Instructions burned: 3 (million)
% 0.21/0.38 % (20902)------------------------------
% 0.21/0.38 % (20902)------------------------------
% 0.21/0.38 % (20900)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.21/0.38 % (20901)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 Vampire---4 for (2999ds/4Mi)
% 0.21/0.38 % (20903)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (20904)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.21/0.38 % (20905)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.21/0.38 % (20906)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.38 % (20907)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.38 % (20903)Instruction limit reached!
% 0.21/0.38 % (20903)------------------------------
% 0.21/0.38 % (20903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20903)Termination reason: Unknown
% 0.21/0.38 % (20903)Termination phase: Property scanning
% 0.21/0.38 % (20904)Instruction limit reached!
% 0.21/0.38 % (20904)------------------------------
% 0.21/0.38 % (20904)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20904)Termination reason: Unknown
% 0.21/0.38 % (20904)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (20904)Memory used [KB]: 895
% 0.21/0.38 % (20904)Time elapsed: 0.003 s
% 0.21/0.38 % (20904)Instructions burned: 2 (million)
% 0.21/0.38 % (20904)------------------------------
% 0.21/0.38 % (20904)------------------------------
% 0.21/0.38
% 0.21/0.38 % (20903)Memory used [KB]: 895
% 0.21/0.38 % (20903)Time elapsed: 0.003 s
% 0.21/0.38 % (20903)Instructions burned: 2 (million)
% 0.21/0.38 % (20903)------------------------------
% 0.21/0.38 % (20903)------------------------------
% 0.21/0.38 % (20905)Refutation not found, incomplete strategy
% 0.21/0.38 % (20905)------------------------------
% 0.21/0.38 % (20905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20905)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (20905)Memory used [KB]: 5373
% 0.21/0.38 % (20905)Time elapsed: 0.003 s
% 0.21/0.38 % (20905)Instructions burned: 1 (million)
% 0.21/0.38 % (20905)------------------------------
% 0.21/0.38 % (20905)------------------------------
% 0.21/0.38 % (20901)Instruction limit reached!
% 0.21/0.38 % (20901)------------------------------
% 0.21/0.38 % (20901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20901)Termination reason: Unknown
% 0.21/0.38 % (20901)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (20901)Memory used [KB]: 5500
% 0.21/0.38 % (20901)Time elapsed: 0.005 s
% 0.21/0.38 % (20901)Instructions burned: 4 (million)
% 0.21/0.38 % (20901)------------------------------
% 0.21/0.38 % (20901)------------------------------
% 0.21/0.38 % (20907)Instruction limit reached!
% 0.21/0.38 % (20907)------------------------------
% 0.21/0.38 % (20907)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (20907)Termination reason: Unknown
% 0.21/0.38 % (20907)Termination phase: Saturation
% 0.21/0.38
% 0.21/0.38 % (20907)Memory used [KB]: 5500
% 0.21/0.38 % (20907)Time elapsed: 0.005 s
% 0.21/0.38 % (20907)Instructions burned: 3 (million)
% 0.21/0.38 % (20907)------------------------------
% 0.21/0.38 % (20907)------------------------------
% 0.21/0.39 % (20908)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 Vampire---4 for (2999ds/37Mi)
% 0.21/0.39 % (20906)Instruction limit reached!
% 0.21/0.39 % (20906)------------------------------
% 0.21/0.39 % (20906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (20906)Termination reason: Unknown
% 0.21/0.39 % (20906)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (20906)Memory used [KB]: 5628
% 0.21/0.39 % (20906)Time elapsed: 0.015 s
% 0.21/0.39 % (20906)Instructions burned: 19 (million)
% 0.21/0.39 % (20906)------------------------------
% 0.21/0.39 % (20906)------------------------------
% 0.21/0.39 % (20910)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.40 % (20911)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 Vampire---4 for (2999ds/1041Mi)
% 0.21/0.40 % (20909)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 Vampire---4 for (2999ds/15Mi)
% 0.21/0.40 % (20912)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.40 % (20910)Instruction limit reached!
% 0.21/0.40 % (20910)------------------------------
% 0.21/0.40 % (20910)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20910)Termination reason: Unknown
% 0.21/0.40 % (20910)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (20910)Memory used [KB]: 5500
% 0.21/0.40 % (20910)Time elapsed: 0.004 s
% 0.21/0.40 % (20910)Instructions burned: 3 (million)
% 0.21/0.40 % (20910)------------------------------
% 0.21/0.40 % (20910)------------------------------
% 0.21/0.40 % (20913)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on Vampire---4 for (2999ds/16Mi)
% 0.21/0.40 % (20909)Refutation not found, incomplete strategy
% 0.21/0.40 % (20909)------------------------------
% 0.21/0.40 % (20909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20909)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.40
% 0.21/0.40
% 0.21/0.40 % (20909)Memory used [KB]: 5500
% 0.21/0.40 % (20909)Time elapsed: 0.004 s
% 0.21/0.40 % (20909)Instructions burned: 2 (million)
% 0.21/0.40 % (20909)------------------------------
% 0.21/0.40 % (20909)------------------------------
% 0.21/0.40 % (20912)Instruction limit reached!
% 0.21/0.40 % (20912)------------------------------
% 0.21/0.40 % (20912)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20912)Termination reason: Unknown
% 0.21/0.40 % (20912)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (20912)Memory used [KB]: 1023
% 0.21/0.40 % (20912)Time elapsed: 0.007 s
% 0.21/0.40 % (20912)Instructions burned: 7 (million)
% 0.21/0.40 % (20912)------------------------------
% 0.21/0.40 % (20912)------------------------------
% 0.21/0.41 % (20908)Instruction limit reached!
% 0.21/0.41 % (20908)------------------------------
% 0.21/0.41 % (20908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20908)Termination reason: Unknown
% 0.21/0.41 % (20908)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (20908)Memory used [KB]: 5756
% 0.21/0.41 % (20908)Time elapsed: 0.017 s
% 0.21/0.41 % (20908)Instructions burned: 37 (million)
% 0.21/0.41 % (20908)------------------------------
% 0.21/0.41 % (20908)------------------------------
% 0.21/0.41 % (20914)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (20913)Instruction limit reached!
% 0.21/0.41 % (20913)------------------------------
% 0.21/0.41 % (20913)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20913)Termination reason: Unknown
% 0.21/0.41 % (20913)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (20913)Memory used [KB]: 5628
% 0.21/0.41 % (20913)Time elapsed: 0.013 s
% 0.21/0.41 % (20913)Instructions burned: 16 (million)
% 0.21/0.41 % (20913)------------------------------
% 0.21/0.41 % (20913)------------------------------
% 0.21/0.41 % (20914)Instruction limit reached!
% 0.21/0.41 % (20914)------------------------------
% 0.21/0.41 % (20914)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20914)Termination reason: Unknown
% 0.21/0.41 % (20914)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (20914)Memory used [KB]: 5500
% 0.21/0.41 % (20914)Time elapsed: 0.004 s
% 0.21/0.41 % (20914)Instructions burned: 3 (million)
% 0.21/0.41 % (20914)------------------------------
% 0.21/0.41 % (20914)------------------------------
% 0.21/0.41 % (20915)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.41 % (20916)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on Vampire---4 for (2999ds/7Mi)
% 0.21/0.41 % (20915)Instruction limit reached!
% 0.21/0.41 % (20915)------------------------------
% 0.21/0.41 % (20915)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20915)Termination reason: Unknown
% 0.21/0.41 % (20915)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (20915)Memory used [KB]: 1023
% 0.21/0.41 % (20915)Time elapsed: 0.004 s
% 0.21/0.41 % (20915)Instructions burned: 4 (million)
% 0.21/0.41 % (20915)------------------------------
% 0.21/0.41 % (20915)------------------------------
% 0.21/0.42 % (20917)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.42 % (20918)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.21/0.42 % (20917)Instruction limit reached!
% 0.21/0.42 % (20917)------------------------------
% 0.21/0.42 % (20917)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20917)Termination reason: Unknown
% 0.21/0.42 % (20917)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (20917)Memory used [KB]: 5500
% 0.21/0.42 % (20917)Time elapsed: 0.004 s
% 0.21/0.42 % (20917)Instructions burned: 3 (million)
% 0.21/0.42 % (20917)------------------------------
% 0.21/0.42 % (20917)------------------------------
% 0.21/0.42 % (20916)Instruction limit reached!
% 0.21/0.42 % (20916)------------------------------
% 0.21/0.42 % (20916)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20916)Termination reason: Unknown
% 0.21/0.42 % (20916)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (20916)Memory used [KB]: 5500
% 0.21/0.42 % (20916)Time elapsed: 0.007 s
% 0.21/0.42 % (20916)Instructions burned: 7 (million)
% 0.21/0.42 % (20916)------------------------------
% 0.21/0.42 % (20916)------------------------------
% 0.21/0.42 % (20918)Instruction limit reached!
% 0.21/0.42 % (20918)------------------------------
% 0.21/0.42 % (20918)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20918)Termination reason: Unknown
% 0.21/0.42 % (20918)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (20918)Memory used [KB]: 5500
% 0.21/0.42 % (20918)Time elapsed: 0.004 s
% 0.21/0.42 % (20918)Instructions burned: 5 (million)
% 0.21/0.42 % (20918)------------------------------
% 0.21/0.42 % (20918)------------------------------
% 0.21/0.42 % (20919)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.21/0.42 % (20920)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on Vampire---4 for (2999ds/710Mi)
% 0.21/0.43 % (20919)Refutation not found, incomplete strategy
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20919)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (20919)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (20919)Memory used [KB]: 5500
% 0.21/0.43 % (20919)Time elapsed: 0.004 s
% 0.21/0.43 % (20919)Instructions burned: 3 (million)
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20919)------------------------------
% 0.21/0.43 % (20921)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on Vampire---4 for (2999ds/6Mi)
% 0.21/0.43 % (20924)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on Vampire---4 for (2999ds/5Mi)
% 0.21/0.43 % (20921)Instruction limit reached!
% 0.21/0.43 % (20921)------------------------------
% 0.21/0.43 % (20921)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (20921)Termination reason: Unknown
% 0.21/0.43 % (20921)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (20921)Memory used [KB]: 5500
% 0.21/0.43 % (20921)Time elapsed: 0.006 s
% 0.21/0.43 % (20921)Instructions burned: 6 (million)
% 0.21/0.43 % (20921)------------------------------
% 0.21/0.43 % (20921)------------------------------
% 0.21/0.43 % (20923)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 Vampire---4 for (2999ds/21Mi)
% 0.21/0.43 % (20924)Instruction limit reached!
% 0.21/0.43 % (20924)------------------------------
% 0.21/0.43 % (20924)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (20924)Termination reason: Unknown
% 0.21/0.43 % (20924)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (20924)Memory used [KB]: 5500
% 0.21/0.43 % (20924)Time elapsed: 0.005 s
% 0.21/0.43 % (20924)Instructions burned: 6 (million)
% 0.21/0.43 % (20924)------------------------------
% 0.21/0.43 % (20924)------------------------------
% 0.21/0.43 % (20922)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 Vampire---4 for (2999ds/902Mi)
% 0.21/0.44 % (20922)Refutation not found, incomplete strategy
% 0.21/0.44 % (20922)------------------------------
% 0.21/0.44 % (20922)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (20922)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (20922)Memory used [KB]: 5500
% 0.21/0.44 % (20922)Time elapsed: 0.003 s
% 0.21/0.44 % (20922)Instructions burned: 2 (million)
% 0.21/0.44 % (20922)------------------------------
% 0.21/0.44 % (20922)------------------------------
% 0.21/0.44 % (20925)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 Vampire---4 for (2999ds/6Mi)
% 0.21/0.44 % (20925)Refutation not found, incomplete strategy
% 0.21/0.44 % (20925)------------------------------
% 0.21/0.44 % (20925)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (20925)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (20925)Memory used [KB]: 5500
% 0.21/0.44 % (20925)Time elapsed: 0.005 s
% 0.21/0.44 % (20925)Instructions burned: 2 (million)
% 0.21/0.44 % (20925)------------------------------
% 0.21/0.44 % (20925)------------------------------
% 0.21/0.44 % (20928)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 Vampire---4 for (2999ds/779Mi)
% 0.21/0.45 % (20926)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on Vampire---4 for (2999ds/377Mi)
% 0.21/0.45 % (20923)Instruction limit reached!
% 0.21/0.45 % (20923)------------------------------
% 0.21/0.45 % (20923)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20923)Termination reason: Unknown
% 0.21/0.45 % (20923)Termination phase: Saturation
% 0.21/0.45
% 0.21/0.45 % (20923)Memory used [KB]: 5628
% 0.21/0.45 % (20923)Time elapsed: 0.016 s
% 0.21/0.45 % (20923)Instructions burned: 21 (million)
% 0.21/0.45 % (20923)------------------------------
% 0.21/0.45 % (20923)------------------------------
% 0.21/0.45 % (20928)Refutation not found, incomplete strategy
% 0.21/0.45 % (20928)------------------------------
% 0.21/0.45 % (20928)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20928)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (20928)Memory used [KB]: 5500
% 0.21/0.45 % (20928)Time elapsed: 0.005 s
% 0.21/0.45 % (20928)Instructions burned: 7 (million)
% 0.21/0.45 % (20928)------------------------------
% 0.21/0.45 % (20928)------------------------------
% 0.21/0.45 % (20931)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 Vampire---4 for (2999ds/19Mi)
% 0.21/0.45 % (20931)Refutation not found, incomplete strategy
% 0.21/0.45 % (20931)------------------------------
% 0.21/0.45 % (20931)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20931)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % (20931)Memory used [KB]: 5500
% 0.21/0.45 % (20931)Time elapsed: 0.004 s
% 0.21/0.45 % (20931)Instructions burned: 2 (million)
% 0.21/0.45 % (20931)------------------------------
% 0.21/0.45 % (20931)------------------------------
% 0.21/0.46 % (20935)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.21/0.46 % (20935)Instruction limit reached!
% 0.21/0.46 % (20935)------------------------------
% 0.21/0.46 % (20935)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (20935)Termination reason: Unknown
% 0.21/0.46 % (20935)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (20935)Memory used [KB]: 1023
% 0.21/0.46 % (20935)Time elapsed: 0.003 s
% 0.21/0.46 % (20935)Instructions burned: 3 (million)
% 0.21/0.46 % (20934)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on Vampire---4 for (2999ds/17Mi)
% 0.21/0.46 % (20935)------------------------------
% 0.21/0.46 % (20935)------------------------------
% 0.21/0.47 % (20936)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on Vampire---4 for (2999ds/30Mi)
% 0.21/0.47 % (20933)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on Vampire---4 for (2999ds/879Mi)
% 0.21/0.47 % (20934)Instruction limit reached!
% 0.21/0.47 % (20934)------------------------------
% 0.21/0.47 % (20934)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (20934)Termination reason: Unknown
% 0.21/0.47 % (20934)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (20934)Memory used [KB]: 5628
% 0.21/0.47 % (20934)Time elapsed: 0.013 s
% 0.21/0.47 % (20934)Instructions burned: 17 (million)
% 0.21/0.47 % (20934)------------------------------
% 0.21/0.47 % (20934)------------------------------
% 0.21/0.47 % (20936)Refutation not found, incomplete strategy
% 0.21/0.47 % (20936)------------------------------
% 0.21/0.47 % (20936)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (20936)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 % (20936)Memory used [KB]: 5500
% 0.21/0.47 % (20936)Time elapsed: 0.007 s
% 0.21/0.47 % (20936)Instructions burned: 7 (million)
% 0.21/0.47 % (20936)------------------------------
% 0.21/0.47 % (20936)------------------------------
% 0.21/0.47 % (20937)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on Vampire---4 for (2999ds/127Mi)
% 0.21/0.49 % (20939)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on Vampire---4 for (2999ds/100Mi)
% 0.21/0.49 % (20940)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 Vampire---4 for (2999ds/3Mi)
% 0.21/0.49 % (20940)Instruction limit reached!
% 0.21/0.49 % (20940)------------------------------
% 0.21/0.49 % (20940)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (20940)Termination reason: Unknown
% 0.21/0.49 % (20940)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (20940)Memory used [KB]: 5500
% 0.21/0.49 % (20940)Time elapsed: 0.003 s
% 0.21/0.49 % (20940)Instructions burned: 3 (million)
% 0.21/0.49 % (20940)------------------------------
% 0.21/0.49 % (20940)------------------------------
% 0.21/0.49 % (20900)Instruction limit reached!
% 0.21/0.49 % (20900)------------------------------
% 0.21/0.49 % (20900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (20900)Termination reason: Unknown
% 0.21/0.49 % (20900)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (20900)Memory used [KB]: 6268
% 0.21/0.49 % (20900)Time elapsed: 0.116 s
% 0.21/0.49 % (20900)Instructions burned: 183 (million)
% 0.21/0.49 % (20900)------------------------------
% 0.21/0.49 % (20900)------------------------------
% 0.21/0.50 % (20941)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 Vampire---4 for (2998ds/20Mi)
% 0.21/0.50 % (20939)First to succeed.
% 0.21/0.50 % (20941)Refutation not found, incomplete strategy
% 0.21/0.50 % (20941)------------------------------
% 0.21/0.50 % (20941)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (20941)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 % (20941)Memory used [KB]: 5500
% 0.21/0.50 % (20941)Time elapsed: 0.002 s
% 0.21/0.50 % (20941)Instructions burned: 1 (million)
% 0.21/0.50 % (20941)------------------------------
% 0.21/0.50 % (20941)------------------------------
% 0.21/0.50 % (20939)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for Vampire---4
% 0.21/0.50 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.50 % (20939)------------------------------
% 0.21/0.50 % (20939)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (20939)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (20939)Memory used [KB]: 5628
% 0.21/0.50 % (20939)Time elapsed: 0.016 s
% 0.21/0.50 % (20939)Instructions burned: 23 (million)
% 0.21/0.50 % (20939)------------------------------
% 0.21/0.50 % (20939)------------------------------
% 0.21/0.50 % (20899)Success in time 0.118 s
% 0.21/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------