%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV311^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 : Wed Feb 25 09:40:48 AM UTC 2026
% Result : Theorem 1.58s 1.41s
% Output : Refutation 1.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 5 unt; 0 typ; 1 def)
% Number of atoms : 528 ( 148 equ; 0 cnn)
% Maximal formula atoms : 8 ( 8 avg)
% Number of connectives : 935 ( 73 ~; 74 |; 16 &; 601 @)
% ( 1 <=>; 109 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 129 ( 129 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 9 usr; 5 con; 0-2 aty)
% ( 61 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 227 ( 116 ^; 103 !; 8 ?; 227 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cF: ( a > $o ) > a > $o ).
thf(func_def_10,type,
sK0: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_11,type,
sK1: a ).
thf(func_def_12,type,
sK2: a > $o ).
thf(func_def_15,type,
ph4:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK5: ( a > $o ) > a ).
thf(func_def_18,type,
sK6: a > $o ).
thf(func_def_19,type,
sK7: a > $o ).
thf(f526,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f293,f525]) ).
thf(f525,plain,
spl3_11,
inference(avatar_contradiction_clause,[status(thm)],[f524]) ).
thf(f524,plain,
( $false
| spl3_11 ),
inference(trivial_inequality_removal,[status(thm)],[f523]) ).
thf(f523,plain,
( ( $false = $true )
| spl3_11 ),
inference(forward_demodulation,[status(thm)],[f522,f350]) ).
thf(f350,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) ) )
| spl3_11 ),
inference(trivial_inequality_removal,[status(thm)],[f341]) ).
thf(f341,plain,
( ( $false
= ( sK2 @ ( sK5 @ sK2 ) ) )
| ( $true != $true )
| spl3_11 ),
inference(superposition,[status(thm)],[f240,f281]) ).
thf(f281,plain,
! [X0: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f280]) ).
thf(f280,plain,
! [X0: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $false = $true )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f256]) ).
thf(f256,plain,
! [X0: a > $o] :
( ( $false = $true )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( $false
= ( X0 @ ( sK5 @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f190,f33]) ).
thf(f33,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( $false
= ( X1 @ ( sK5 @ X1 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f32,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $false
= ( ( cF @ X1 @ ( sK5 @ X1 ) )
=> ( X1 @ ( sK5 @ X1 ) ) ) )
| ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f31]) ).
thf(f31,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $false
= ( ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) )
@ ( sK5 @ X1 ) ) )
| ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) ),
inference(sigma_clausification,[status(thm)],[f30]) ).
thf(f30,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( $false
= ( !! @ a
@ ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) ) )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f29]) ).
thf(f29,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( ( cF @ X1 @ Y0 )
=> ( X1 @ Y0 ) ) )
=> ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f28]) ).
thf(f28,plain,
! [X0: a > $o,X1: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK0
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ X0 ) ) )
@ X1 ) ) ),
inference(pi_clausification,[status(thm)],[f27]) ).
thf(f27,plain,
! [X0: a > $o] :
( ( $true
= ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( ( cF @ Y0 @ Y1 )
=> ( Y0 @ Y1 ) ) )
=> ( Y0
@ ( sK0
@ ^ [Y1: a] :
( !! @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( ( cF @ Y2 @ Y3 )
=> ( Y2 @ Y3 ) ) )
=> ( Y2 @ Y1 ) ) )
@ X0 ) ) ) ) )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: a > $o] :
( ( ( cF @ X0 @ sK1 )
= $true )
| ( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f25]) ).
thf(f25,plain,
! [X0: a > $o] :
( ( $true
= ( ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f15,f14]) ).
thf(f14,plain,
( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ! [X0: a > $o,X1: a > $o] :
( ( ( $true
!= ( X0 @ ( sK0 @ X1 @ X0 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X1 @ X0 ) ) ) )
| ! [X3: a] :
( ( $true
= ( cF @ X0 @ X3 ) )
| ( $true
!= ( cF @ X1 @ X3 ) ) ) )
& ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) )
& ! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) )
& ( $true
!= ( sK2 @ sK1 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8]) ).
thf(f8,plain,
! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X1 @ X2 )
= $true ) )
=> ( ( $true
!= ( X0 @ ( sK0 @ X1 @ X0 ) ) )
& ( $true
= ( X1 @ ( sK0 @ X1 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f9,plain,
( ? [X4: a] :
( ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 ) )
& ? [X5: a > $o] :
( ! [X6: a] :
( ( $true
!= ( cF @ X5 @ X6 ) )
| ( $true
= ( X5 @ X6 ) ) )
& ( $true
!= ( X5 @ X4 ) ) ) )
=> ( ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ sK1 ) )
& ? [X5: a > $o] :
( ! [X6: a] :
( ( $true
!= ( cF @ X5 @ X6 ) )
| ( $true
= ( X5 @ X6 ) ) )
& ( $true
!= ( X5 @ sK1 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
( ? [X5: a > $o] :
( ! [X6: a] :
( ( $true
!= ( cF @ X5 @ X6 ) )
| ( $true
= ( X5 @ X6 ) ) )
& ( $true
!= ( X5 @ sK1 ) ) )
=> ( ! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) )
& ( $true
!= ( sK2 @ sK1 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
( ! [X0: a > $o,X1: a > $o] :
( ? [X2: a] :
( ( ( X0 @ X2 )
!= $true )
& ( ( X1 @ X2 )
= $true ) )
| ! [X3: a] :
( ( $true
= ( cF @ X0 @ X3 ) )
| ( $true
!= ( cF @ X1 @ X3 ) ) ) )
& ? [X4: a] :
( ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 ) )
& ? [X5: a > $o] :
( ! [X6: a] :
( ( $true
!= ( cF @ X5 @ X6 ) )
| ( $true
= ( X5 @ X6 ) ) )
& ( $true
!= ( X5 @ X4 ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
=> ( ( X0 @ X2 )
= $true ) )
=> ! [X3: a] :
( ( $true
= ( cF @ X1 @ X3 ) )
=> ( $true
= ( cF @ X0 @ X3 ) ) ) )
=> ! [X4: a] :
( ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 ) )
=> ! [X5: a > $o] :
( ! [X6: a] :
( ( $true
= ( cF @ X5 @ X6 ) )
=> ( $true
= ( X5 @ X6 ) ) )
=> ( $true
= ( X5 @ X4 ) ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( ( X1 @ X2 )
= $true )
=> ( ( X0 @ X2 )
= $true ) )
=> ! [X3: a] :
( ( $true
= ( cF @ X1 @ X3 ) )
=> ( $true
= ( cF @ X0 @ X3 ) ) ) )
=> ! [X4: a] :
( ( $true
= ( cF
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X4 ) )
=> ! [X8: a > $o] :
( ! [X9: a] :
( ( $true
= ( cF @ X8 @ X9 ) )
=> ( $true
= ( X8 @ X9 ) ) )
=> ( ( X8 @ X4 )
= $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: a > $o,X1: a > $o] :
( ! [X2: a] :
( ( X1 @ X2 )
=> ( X0 @ X2 ) )
=> ! [X3: a] :
( ( cF @ X1 @ X3 )
=> ( cF @ X0 @ X3 ) ) )
=> ! [X4: a] :
( ( cF
@ ^ [X5: a] :
! [X6: a > $o] :
( ! [X7: a] :
( ( cF @ X6 @ X7 )
=> ( X6 @ X7 ) )
=> ( X6 @ X5 ) )
@ X4 )
=> ! [X8: a > $o] :
( ! [X9: a] :
( ( cF @ X8 @ X9 )
=> ( X8 @ X9 ) )
=> ( X8 @ X4 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cF @ X0 @ X2 )
=> ( cF @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cF
@ ^ [X3: a] :
! [X4: a > $o] :
( ! [X5: a] :
( ( cF @ X4 @ X5 )
=> ( X4 @ X5 ) )
=> ( X4 @ X3 ) )
@ X2 )
=> ! [X4: a > $o] :
( ! [X3: a] :
( ( cF @ X4 @ X3 )
=> ( X4 @ X3 ) )
=> ( X4 @ X2 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X1: a > $o,X0: a > $o] :
( ! [X2: a] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) )
=> ! [X2: a] :
( ( cF @ X0 @ X2 )
=> ( cF @ X1 @ X2 ) ) )
=> ! [X2: a] :
( ( cF
@ ^ [X3: a] :
! [X4: a > $o] :
( ! [X5: a] :
( ( cF @ X4 @ X5 )
=> ( X4 @ X5 ) )
=> ( X4 @ X3 ) )
@ X2 )
=> ! [X4: a > $o] :
( ! [X3: a] :
( ( cF @ X4 @ X3 )
=> ( X4 @ X3 ) )
=> ( X4 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.qfNt5dLLtw/DTF2THF_25053.p',cTHM521_pme) ).
thf(f15,plain,
! [X3: a,X0: a > $o,X1: a > $o] :
( ( $true
!= ( cF @ X1 @ X3 ) )
| ( $true
= ( cF @ X0 @ X3 ) )
| ( $true
= ( X1 @ ( sK0 @ X1 @ X0 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f190,plain,
! [X3: a > $o] :
( ( $false
= ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
| ( $true
= ( cF @ X3 @ sK1 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f189]) ).
thf(f189,plain,
! [X3: a > $o] :
( ( $true
= ( cF @ X3 @ sK1 ) )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f188]) ).
thf(f188,plain,
! [X3: a > $o] :
( ( $true
= ( cF
@ ^ [Y0: a] : ( X3 @ Y0 )
@ sK1 ) )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f187]) ).
thf(f187,plain,
! [X3: a > $o] :
( ( ( cF
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 )
@ sK1 )
= $true )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X3 ) ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f186]) ).
thf(f186,plain,
! [X3: a > $o] :
( ( ( cF
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 )
@ sK1 )
= $true )
| ( ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] : ( X3 @ Y0 ) ) ) )
= $true ) ),
inference(boolean_simplification,[status(thm)],[f185]) ).
thf(f185,plain,
! [X3: a > $o] :
( ( $true
= ( ~ ( X3
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 ) ) ) ) )
| ( ( cF
@ ^ [Y0: a] :
~ ~ ( X3 @ Y0 )
@ sK1 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f178]) ).
thf(f178,plain,
! [X3: a > $o] :
( ( $true
= ( cF
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
~ ( X3 @ Y1 )
@ Y0 )
@ sK1 ) )
| ( $true
= ( ^ [Y0: a] :
~ ( X3 @ Y0 )
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( ^ [Y1: a] :
~ ( X3 @ Y1 )
@ Y0 ) ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f38]) ).
thf(f38,plain,
! [X0: a > $o] :
( ( $true
= ( X0
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( X0 @ Y0 ) ) ) )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X0 @ Y0 )
@ sK1 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f37]) ).
thf(f37,plain,
! [X0: a > $o] :
( ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X0 @ Y0 )
@ sK1 ) )
| ( $true != $true )
| ( $true
= ( X0
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ ^ [Y0: a] :
~ ( X0 @ Y0 ) ) ) ) ),
inference(superposition,[status(thm)],[f21,f14]) ).
thf(f21,plain,
! [X3: a,X1: a > $o,X6: a > $o] :
( ( $true
!= ( cF @ X1 @ X3 ) )
| ( $true
= ( X6
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X6 @ Y0 ) ) ) )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X6 @ Y0 )
@ X3 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f20]) ).
thf(f20,plain,
! [X3: a,X1: a > $o,X6: a > $o] :
( ( $true
!= ( ~ ( X6
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X6 @ Y0 ) ) ) ) )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X6 @ Y0 )
@ X3 ) )
| ( $true
!= ( cF @ X1 @ X3 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f19]) ).
thf(f19,plain,
! [X3: a,X1: a > $o,X6: a > $o] :
( ( ( ^ [Y0: a] :
~ ( X6 @ Y0 )
@ ( sK0 @ X1
@ ^ [Y0: a] :
~ ( X6 @ Y0 ) ) )
!= $true )
| ( $true
= ( cF
@ ^ [Y0: a] :
~ ( X6 @ Y0 )
@ X3 ) )
| ( $true
!= ( cF @ X1 @ X3 ) ) ),
inference(primitive_instantiation,[status(thm)],[f16]) ).
thf(f16,plain,
! [X3: a,X0: a > $o,X1: a > $o] :
( ( $true
!= ( X0 @ ( sK0 @ X1 @ X0 ) ) )
| ( $true
!= ( cF @ X1 @ X3 ) )
| ( $true
= ( cF @ X0 @ X3 ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f240,plain,
( ( $true
!= ( cF @ sK2 @ sK1 ) )
| spl3_11 ),
inference(avatar_component_clause,[status(thm)],[f239]) ).
thf(f239,definition,
( spl3_11
<=> ( $true
= ( cF @ sK2 @ sK1 ) ) ),
introduced(definition,[new_symbols(naming,[spl3_11])],[avatar_definition]) ).
thf(f522,plain,
( ( $true
= ( sK2 @ ( sK5 @ sK2 ) ) )
| spl3_11 ),
inference(subsumption_resolution,[status(thm)],[f519,f240]) ).
thf(f519,plain,
( ( $true
= ( cF @ sK2 @ sK1 ) )
| ( $true
= ( sK2 @ ( sK5 @ sK2 ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f512]) ).
thf(f512,plain,
( ( $true
= ( sK2 @ ( sK5 @ sK2 ) ) )
| ( $true
= ( cF @ sK2 @ sK1 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f13,f272]) ).
thf(f272,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(trivial_inequality_removal,[status(thm)],[f271]) ).
thf(f271,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( $false = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f255]) ).
thf(f255,plain,
! [X0: a > $o] :
( ( $true
= ( cF @ X0 @ ( sK5 @ X0 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( $false = $true )
| ( ( cF @ X0 @ sK1 )
= $true ) ),
inference(superposition,[status(thm)],[f190,f34]) ).
thf(f34,plain,
! [X0: a > $o,X1: a > $o] :
( ( $true
= ( X1
@ ( sK0
@ ^ [Y0: a] :
( !! @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( ( cF @ Y1 @ Y2 )
=> ( Y1 @ Y2 ) ) )
=> ( Y1 @ Y0 ) ) )
@ X0 ) ) )
| ( ( cF @ X0 @ sK1 )
= $true )
| ( $true
= ( cF @ X1 @ ( sK5 @ X1 ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f32]) ).
thf(f13,plain,
! [X6: a] :
( ( ( cF @ sK2 @ X6 )
!= $true )
| ( $true
= ( sK2 @ X6 ) ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f293,plain,
~ spl3_11,
inference(avatar_contradiction_clause,[status(thm)],[f292]) ).
thf(f292,plain,
( $false
| ~ spl3_11 ),
inference(subsumption_resolution,[status(thm)],[f289,f12]) ).
thf(f12,plain,
( $true
!= ( sK2 @ sK1 ) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f289,plain,
( ( $true
= ( sK2 @ sK1 ) )
| ~ spl3_11 ),
inference(trivial_inequality_removal,[status(thm)],[f284]) ).
thf(f284,plain,
( ( $true != $true )
| ( $true
= ( sK2 @ sK1 ) )
| ~ spl3_11 ),
inference(superposition,[status(thm)],[f13,f241]) ).
thf(f241,plain,
( ( $true
= ( cF @ sK2 @ sK1 ) )
| ~ spl3_11 ),
inference(avatar_component_clause,[status(thm)],[f239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV311^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.32 % Computer : n005.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue Feb 24 12:43:44 EST 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : SEV311^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.45 % Domain : Set Theory (Sets of sets)
% 0.29/0.45 % Problem : TPS problem from SET-KNASTER-TARSKI-INST
% 0.29/0.45 % Version : Especial.
% 0.29/0.45 % English : Related to the Knaster-Tarski theorem.
% 0.29/0.45
% 0.29/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Bro09]
% 0.29/0.45 % Names : tps_0967 [Bro09]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % Rating : 0.08 v9.1.0, 0.00 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.17 v7.5.0, 0.25 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.1.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v5.2.0, 0.75 v5.0.0, 0.50 v4.1.0, 1.00 v4.0.0
% 0.29/0.45 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.29/0.45 % Number of atoms : 5 ( 0 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 5 ( 5 avg)
% 0.29/0.45 % Number of connectives : 25 ( 0 ~; 0 |; 0 &; 16 @)
% 0.29/0.45 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 13 ( 13 avg)
% 0.29/0.45 % Number of types : 2 ( 1 usr)
% 0.29/0.45 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.29/0.45 % Number of variables : 10 ( 1 ^; 9 !; 0 ?; 10 :)
% 0.29/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.45 % : May require description or choice.
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 thf(a_type,type,
% 0.29/0.45 a: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(cF,type,
% 0.29/0.45 cF: ( a > $o ) > a > $o ).
% 0.29/0.45
% 0.29/0.45 thf(cTHM521_pme,conjecture,
% 0.29/0.45 ( ! [X: a > $o,Y: a > $o] :
% 0.29/0.45 ( ! [Xx: a] :
% 0.29/0.45 ( ( X @ Xx )
% 0.29/0.45 => ( Y @ Xx ) )
% 0.29/0.45 => ! [Xx: a] :
% 0.29/0.45 ( ( cF @ X @ Xx )
% 0.29/0.45 => ( cF @ Y @ Xx ) ) )
% 0.29/0.45 => ! [Xx: a] :
% 0.29/0.45 ( ( cF
% 0.29/0.45 @ ^ [Xx0: a] :
% 0.29/0.45 ! [S: a > $o] :
% 0.29/0.45 ( ! [Xx1: a] :
% 0.29/0.45 ( ( cF @ S @ Xx1 )
% 0.29/0.45 => ( S @ Xx1 ) )
% 0.29/0.45 => ( S @ Xx0 ) )
% 0.29/0.45 @ Xx )
% 0.29/0.45 => ! [S: a > $o] :
% 0.29/0.45 ( ! [Xx0: a] :
% 0.29/0.45 ( ( cF @ S @ Xx0 )
% 0.29/0.45 => ( S @ Xx0 ) )
% 0.29/0.45 => ( S @ Xx ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 1.50/1.23 ---- Embedded in THF ---
% 1.50/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.23 %%% Generated on Tue Feb 24 12:43:45 EST 2026
% 1.50/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.23 %%% Logic specification used:
% 1.50/1.23 %%% thf(spec, logic, $$dhol).
% 1.50/1.23
% 1.50/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.qfNt5dLLtw/DTF2DTF25053.p
% See solution above
% 1.50/1.23 ------------------------
% 1.50/1.24 ---- Cleaned THF ---
% 1.50/1.24 thf(a_type,type,
% 1.50/1.24 a: $tType ).
% 1.50/1.24
% 1.50/1.24 thf(cF,type,
% 1.50/1.24 cF: ( a > $o ) > a > $o ).
% 1.50/1.24
% 1.50/1.24 thf(cTHM521_pme,conjecture,
% 1.50/1.24 ( ! [X: a > $o,Y: a > $o] :
% 1.50/1.24 ( ! [Xx: a] :
% 1.50/1.24 ( ( X @ Xx )
% 1.50/1.24 => ( Y @ Xx ) )
% 1.50/1.24 => ! [Xx: a] :
% 1.50/1.24 ( ( cF @ X @ Xx )
% 1.50/1.24 => ( cF @ Y @ Xx ) ) )
% 1.50/1.24 => ! [Xx: a] :
% 1.50/1.24 ( ( cF
% 1.50/1.24 @ ^ [Xx0: a] :
% 1.50/1.24 ! [S: a > $o] :
% 1.50/1.24 ( ! [Xx1: a] :
% 1.50/1.24 ( ( cF @ S @ Xx1 )
% 1.50/1.24 => ( S @ Xx1 ) )
% 1.50/1.24 => ( S @ Xx0 ) )
% 1.50/1.24 @ Xx )
% 1.50/1.24 => ! [S: a > $o] :
% 1.50/1.24 ( ! [Xx0: a] :
% 1.50/1.24 ( ( cF @ S @ Xx0 )
% 1.50/1.24 => ( S @ Xx0 ) )
% 1.50/1.24 => ( S @ Xx ) ) ) ) ).
% 1.50/1.24 ------------------------
% 1.50/1.26 % (25333)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/275Mi)
% 1.50/1.27 % (25329)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 DTF2THF_25053 for (2999ds/4Mi)
% 1.50/1.27 % (25328)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/183Mi)
% 1.50/1.27 % (25330)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 DTF2THF_25053 for (2999ds/27Mi)
% 1.50/1.27 % (25331)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/2Mi)
% 1.50/1.27 % (25332)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/2Mi)
% 1.50/1.27 % (25334)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/18Mi)
% 1.50/1.27 % (25331)Instruction limit reached!
% 1.50/1.27 % (25331)------------------------------
% 1.50/1.27 % (25331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (25331)Termination reason: Unknown
% 1.50/1.27 % (25331)Termination phase: Preprocessing 3
% 1.50/1.27
% 1.50/1.27 % (25331)Memory used [KB]: 895
% 1.50/1.27 % (25331)Time elapsed: 0.003 s
% 1.50/1.27 % (25331)Instructions burned: 2 (million)
% 1.50/1.27 % (25331)------------------------------
% 1.50/1.27 % (25331)------------------------------
% 1.50/1.27 % (25332)Instruction limit reached!
% 1.50/1.27 % (25332)------------------------------
% 1.50/1.27 % (25332)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (25332)Termination reason: Unknown
% 1.50/1.27 % (25332)Termination phase: Property scanning
% 1.50/1.27
% 1.50/1.27 % (25332)Memory used [KB]: 895
% 1.50/1.27 % (25332)Time elapsed: 0.003 s
% 1.50/1.27 % (25332)Instructions burned: 2 (million)
% 1.50/1.27 % (25332)------------------------------
% 1.50/1.27 % (25332)------------------------------
% 1.50/1.27 % (25329)Instruction limit reached!
% 1.50/1.27 % (25329)------------------------------
% 1.50/1.27 % (25329)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.27 % (25329)Termination reason: Unknown
% 1.50/1.27 % (25329)Termination phase: Saturation
% 1.50/1.27
% 1.50/1.27 % (25329)Memory used [KB]: 5500
% 1.50/1.27 % (25329)Time elapsed: 0.005 s
% 1.50/1.27 % (25329)Instructions burned: 4 (million)
% 1.50/1.27 % (25329)------------------------------
% 1.50/1.27 % (25329)------------------------------
% 1.50/1.28 % (25334)Instruction limit reached!
% 1.50/1.28 % (25334)------------------------------
% 1.50/1.28 % (25334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.28 % (25334)Termination reason: Unknown
% 1.50/1.28 % (25334)Termination phase: Saturation
% 1.50/1.28
% 1.50/1.28 % (25334)Memory used [KB]: 5628
% 1.50/1.28 % (25334)Time elapsed: 0.014 s
% 1.50/1.28 % (25334)Instructions burned: 19 (million)
% 1.50/1.28 % (25334)------------------------------
% 1.50/1.28 % (25334)------------------------------
% 1.50/1.28 % (25330)Instruction limit reached!
% 1.50/1.28 % (25330)------------------------------
% 1.50/1.28 % (25330)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.28 % (25330)Termination reason: Unknown
% 1.50/1.28 % (25330)Termination phase: Saturation
% 1.50/1.28
% 1.50/1.28 % (25330)Memory used [KB]: 5628
% 1.50/1.28 % (25330)Time elapsed: 0.019 s
% 1.50/1.28 % (25330)Instructions burned: 28 (million)
% 1.50/1.28 % (25330)------------------------------
% 1.50/1.28 % (25330)------------------------------
% 1.50/1.29 % (25335)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/3Mi)
% 1.50/1.29 % (25336)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 DTF2THF_25053 for (2999ds/37Mi)
% 1.50/1.29 % (25337)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 DTF2THF_25053 for (2999ds/15Mi)
% 1.50/1.29 % (25335)Instruction limit reached!
% 1.50/1.29 % (25335)------------------------------
% 1.50/1.29 % (25335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.29 % (25335)Termination reason: Unknown
% 1.50/1.29 % (25335)Termination phase: Saturation
% 1.50/1.29
% 1.50/1.29 % (25335)Memory used [KB]: 5500
% 1.50/1.29 % (25335)Time elapsed: 0.004 s
% 1.50/1.29 % (25335)Instructions burned: 3 (million)
% 1.50/1.29 % (25335)------------------------------
% 1.50/1.29 % (25335)------------------------------
% 1.58/1.30 % (25338)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/3Mi)
% 1.58/1.30 % (25337)Instruction limit reached!
% 1.58/1.30 % (25337)------------------------------
% 1.58/1.30 % (25337)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.30 % (25337)Termination reason: Unknown
% 1.58/1.30 % (25337)Termination phase: Saturation
% 1.58/1.30
% 1.58/1.30 % (25337)Memory used [KB]: 5628
% 1.58/1.30 % (25337)Time elapsed: 0.012 s
% 1.58/1.30 % (25337)Instructions burned: 16 (million)
% 1.58/1.30 % (25337)------------------------------
% 1.58/1.30 % (25337)------------------------------
% 1.58/1.30 % (25338)Instruction limit reached!
% 1.58/1.30 % (25338)------------------------------
% 1.58/1.30 % (25338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.30 % (25338)Termination reason: Unknown
% 1.58/1.30 % (25338)Termination phase: Saturation
% 1.58/1.30
% 1.58/1.30 % (25338)Memory used [KB]: 5500
% 1.58/1.30 % (25338)Time elapsed: 0.005 s
% 1.58/1.30 % (25338)Instructions burned: 4 (million)
% 1.58/1.30 % (25338)------------------------------
% 1.58/1.30 % (25338)------------------------------
% 1.58/1.30 % (25339)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 DTF2THF_25053 for (2999ds/1041Mi)
% 1.58/1.30 % (25340)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/7Mi)
% 1.58/1.31 % (25336)Instruction limit reached!
% 1.58/1.31 % (25336)------------------------------
% 1.58/1.31 % (25336)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.31 % (25336)Termination reason: Unknown
% 1.58/1.31 % (25336)Termination phase: Saturation
% 1.58/1.31
% 1.58/1.31 % (25336)Memory used [KB]: 6012
% 1.58/1.31 % (25336)Time elapsed: 0.022 s
% 1.58/1.31 % (25336)Instructions burned: 38 (million)
% 1.58/1.31 % (25336)------------------------------
% 1.58/1.31 % (25336)------------------------------
% 1.58/1.31 % (25340)Instruction limit reached!
% 1.58/1.31 % (25340)------------------------------
% 1.58/1.31 % (25340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.31 % (25340)Termination reason: Unknown
% 1.58/1.31 % (25340)Termination phase: Saturation
% 1.58/1.31
% 1.58/1.31 % (25340)Memory used [KB]: 1023
% 1.58/1.31 % (25340)Time elapsed: 0.006 s
% 1.58/1.31 % (25340)Instructions burned: 7 (million)
% 1.58/1.31 % (25340)------------------------------
% 1.58/1.31 % (25340)------------------------------
% 1.58/1.31 % (25341)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/16Mi)
% 1.58/1.32 % (25342)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 DTF2THF_25053 for (2999ds/3Mi)
% 1.58/1.32 % (25342)Instruction limit reached!
% 1.58/1.32 % (25342)------------------------------
% 1.58/1.32 % (25342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.32 % (25342)Termination reason: Unknown
% 1.58/1.32 % (25342)Termination phase: Saturation
% 1.58/1.32
% 1.58/1.32 % (25342)Memory used [KB]: 5500
% 1.58/1.32 % (25342)Time elapsed: 0.004 s
% 1.58/1.32 % (25342)Instructions burned: 4 (million)
% 1.58/1.32 % (25342)------------------------------
% 1.58/1.32 % (25342)------------------------------
% 1.58/1.32 % (25344)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/7Mi)
% 1.58/1.32 % (25344)Refutation not found, incomplete strategy
% 1.58/1.32 % (25344)------------------------------
% 1.58/1.32 % (25344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.32 % (25344)Termination reason: Refutation not found, incomplete strategy
% 1.58/1.32
% 1.58/1.32
% 1.58/1.32 % (25344)Memory used [KB]: 5500
% 1.58/1.32 % (25344)Time elapsed: 0.003 s
% 1.58/1.32 % (25344)Instructions burned: 4 (million)
% 1.58/1.32 % (25344)------------------------------
% 1.58/1.32 % (25344)------------------------------
% 1.58/1.32 % (25341)Instruction limit reached!
% 1.58/1.32 % (25341)------------------------------
% 1.58/1.32 % (25341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.32 % (25341)Termination reason: Unknown
% 1.58/1.32 % (25341)Termination phase: Saturation
% 1.58/1.32
% 1.58/1.32 % (25341)Memory used [KB]: 5756
% 1.58/1.32 % (25341)Time elapsed: 0.010 s
% 1.58/1.32 % (25341)Instructions burned: 17 (million)
% 1.58/1.32 % (25341)------------------------------
% 1.58/1.32 % (25341)------------------------------
% 1.58/1.32 % (25343)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 DTF2THF_25053 for (2999ds/3Mi)
% 1.58/1.32 % (25343)Instruction limit reached!
% 1.58/1.32 % (25343)------------------------------
% 1.58/1.32 % (25343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.32 % (25343)Termination reason: Unknown
% 1.58/1.32 % (25343)Termination phase: Saturation
% 1.58/1.32
% 1.58/1.32 % (25343)Memory used [KB]: 1023
% 1.58/1.32 % (25343)Time elapsed: 0.003 s
% 1.58/1.32 % (25343)Instructions burned: 3 (million)
% 1.58/1.32 % (25343)------------------------------
% 1.58/1.32 % (25343)------------------------------
% 1.58/1.33 % (25346)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/4Mi)
% 1.58/1.33 % (25347)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/18Mi)
% 1.58/1.33 % (25346)Instruction limit reached!
% 1.58/1.33 % (25346)------------------------------
% 1.58/1.33 % (25346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.33 % (25346)Termination reason: Unknown
% 1.58/1.33 % (25346)Termination phase: Saturation
% 1.58/1.33
% 1.58/1.33 % (25346)Memory used [KB]: 5500
% 1.58/1.33 % (25346)Time elapsed: 0.004 s
% 1.58/1.33 % (25346)Instructions burned: 6 (million)
% 1.58/1.33 % (25346)------------------------------
% 1.58/1.33 % (25346)------------------------------
% 1.58/1.34 % (25345)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/3Mi)
% 1.58/1.34 % (25348)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/710Mi)
% 1.58/1.34 % (25345)Instruction limit reached!
% 1.58/1.34 % (25345)------------------------------
% 1.58/1.34 % (25345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.34 % (25345)Termination reason: Unknown
% 1.58/1.34 % (25345)Termination phase: Saturation
% 1.58/1.34
% 1.58/1.34 % (25345)Memory used [KB]: 5500
% 1.58/1.34 % (25345)Time elapsed: 0.003 s
% 1.58/1.34 % (25345)Instructions burned: 3 (million)
% 1.58/1.34 % (25345)------------------------------
% 1.58/1.34 % (25345)------------------------------
% 1.58/1.34 % (25347)Instruction limit reached!
% 1.58/1.34 % (25347)------------------------------
% 1.58/1.34 % (25347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.34 % (25347)Termination reason: Unknown
% 1.58/1.34 % (25347)Termination phase: Saturation
% 1.58/1.34
% 1.58/1.34 % (25347)Memory used [KB]: 5628
% 1.58/1.34 % (25347)Time elapsed: 0.008 s
% 1.58/1.34 % (25347)Instructions burned: 19 (million)
% 1.58/1.34 % (25347)------------------------------
% 1.58/1.34 % (25347)------------------------------
% 1.58/1.34 % (25333)Instruction limit reached!
% 1.58/1.34 % (25333)------------------------------
% 1.58/1.34 % (25333)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.34 % (25333)Termination reason: Unknown
% 1.58/1.34 % (25333)Termination phase: Saturation
% 1.58/1.34
% 1.58/1.34 % (25333)Memory used [KB]: 6140
% 1.58/1.34 % (25333)Time elapsed: 0.084 s
% 1.58/1.34 % (25333)Instructions burned: 277 (million)
% 1.58/1.34 % (25333)------------------------------
% 1.58/1.34 % (25333)------------------------------
% 1.58/1.34 % (25349)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/6Mi)
% 1.58/1.35 % (25349)Instruction limit reached!
% 1.58/1.35 % (25349)------------------------------
% 1.58/1.35 % (25349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.35 % (25349)Termination reason: Unknown
% 1.58/1.35 % (25349)Termination phase: Saturation
% 1.58/1.35
% 1.58/1.35 % (25349)Memory used [KB]: 5500
% 1.58/1.35 % (25349)Time elapsed: 0.004 s
% 1.58/1.35 % (25349)Instructions burned: 6 (million)
% 1.58/1.35 % (25349)------------------------------
% 1.58/1.35 % (25349)------------------------------
% 1.58/1.35 % (25351)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 DTF2THF_25053 for (2999ds/21Mi)
% 1.58/1.35 % (25352)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/5Mi)
% 1.58/1.35 % (25350)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 DTF2THF_25053 for (2999ds/902Mi)
% 1.58/1.35 % (25352)Instruction limit reached!
% 1.58/1.35 % (25352)------------------------------
% 1.58/1.35 % (25352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.35 % (25352)Termination reason: Unknown
% 1.58/1.35 % (25352)Termination phase: Saturation
% 1.58/1.35
% 1.58/1.35 % (25352)Memory used [KB]: 5500
% 1.58/1.35 % (25352)Time elapsed: 0.003 s
% 1.58/1.35 % (25352)Instructions burned: 6 (million)
% 1.58/1.35 % (25352)------------------------------
% 1.58/1.35 % (25352)------------------------------
% 1.58/1.36 % (25353)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 DTF2THF_25053 for (2999ds/6Mi)
% 1.58/1.36 % (25351)Instruction limit reached!
% 1.58/1.36 % (25351)------------------------------
% 1.58/1.36 % (25351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (25351)Termination reason: Unknown
% 1.58/1.36 % (25351)Termination phase: Saturation
% 1.58/1.36
% 1.58/1.36 % (25351)Memory used [KB]: 5628
% 1.58/1.36 % (25351)Time elapsed: 0.010 s
% 1.58/1.36 % (25351)Instructions burned: 23 (million)
% 1.58/1.36 % (25351)------------------------------
% 1.58/1.36 % (25351)------------------------------
% 1.58/1.36 % (25328)Instruction limit reached!
% 1.58/1.36 % (25328)------------------------------
% 1.58/1.36 % (25328)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (25328)Termination reason: Unknown
% 1.58/1.36 % (25328)Termination phase: Saturation
% 1.58/1.36
% 1.58/1.36 % (25328)Memory used [KB]: 6780
% 1.58/1.36 % (25328)Time elapsed: 0.094 s
% 1.58/1.36 % (25328)Instructions burned: 184 (million)
% 1.58/1.36 % (25328)------------------------------
% 1.58/1.36 % (25328)------------------------------
% 1.58/1.36 % (25353)Instruction limit reached!
% 1.58/1.36 % (25353)------------------------------
% 1.58/1.36 % (25353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.36 % (25353)Termination reason: Unknown
% 1.58/1.36 % (25353)Termination phase: Saturation
% 1.58/1.36
% 1.58/1.36 % (25353)Memory used [KB]: 5500
% 1.58/1.36 % (25353)Time elapsed: 0.004 s
% 1.58/1.36 % (25353)Instructions burned: 8 (million)
% 1.58/1.36 % (25353)------------------------------
% 1.58/1.36 % (25353)------------------------------
% 1.58/1.36 % (25354)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/377Mi)
% 1.58/1.37 % (25355)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 DTF2THF_25053 for (2999ds/779Mi)
% 1.58/1.37 % (25357)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_25053 for (2999ds/879Mi)
% 1.58/1.37 % (25356)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 DTF2THF_25053 for (2999ds/19Mi)
% 1.58/1.38 % (25356)Instruction limit reached!
% 1.58/1.38 % (25356)------------------------------
% 1.58/1.38 % (25356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.38 % (25356)Termination reason: Unknown
% 1.58/1.38 % (25356)Termination phase: Saturation
% 1.58/1.38
% 1.58/1.38 % (25356)Memory used [KB]: 5628
% 1.58/1.38 % (25356)Time elapsed: 0.008 s
% 1.58/1.38 % (25356)Instructions burned: 20 (million)
% 1.58/1.38 % (25356)------------------------------
% 1.58/1.38 % (25356)------------------------------
% 1.58/1.39 % (25358)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_25053 for (2998ds/17Mi)
% 1.58/1.39 % (25358)Instruction limit reached!
% 1.58/1.39 % (25358)------------------------------
% 1.58/1.39 % (25358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.39 % (25358)Termination reason: Unknown
% 1.58/1.39 % (25358)Termination phase: Saturation
% 1.58/1.39
% 1.58/1.39 % (25358)Memory used [KB]: 5628
% 1.58/1.39 % (25358)Time elapsed: 0.008 s
% 1.58/1.39 % (25358)Instructions burned: 17 (million)
% 1.58/1.39 % (25358)------------------------------
% 1.58/1.39 % (25358)------------------------------
% 1.58/1.40 % (25359)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_25053 for (2998ds/3Mi)
% 1.58/1.40 % (25359)Instruction limit reached!
% 1.58/1.40 % (25359)------------------------------
% 1.58/1.40 % (25359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.40 % (25359)Termination reason: Unknown
% 1.58/1.40 % (25359)Termination phase: Saturation
% 1.58/1.40
% 1.58/1.40 % (25359)Memory used [KB]: 5500
% 1.58/1.40 % (25359)Time elapsed: 0.003 s
% 1.58/1.40 % (25359)Instructions burned: 4 (million)
% 1.58/1.40 % (25359)------------------------------
% 1.58/1.40 % (25359)------------------------------
% 1.58/1.41 % (25357)First to succeed.
% 1.58/1.41 % (25357)Refutation found. Thanks to Tanya!
% 1.58/1.41 % SZS status Theorem for DTF2THF_25053
% 1.58/1.41 % SZS output start Proof for DTF2THF_25053
% 1.58/1.41 thf(type_def_5, type, a: $tType).
% 1.58/1.41 thf(func_def_0, type, a: $tType).
% 1.58/1.41 thf(func_def_1, type, cF: (a > $o) > a > $o).
% 1.58/1.41 thf(func_def_10, type, sK0: (a > $o) > (a > $o) > a).
% 1.58/1.41 thf(func_def_11, type, sK1: a).
% 1.58/1.41 thf(func_def_12, type, sK2: a > $o).
% 1.58/1.41 thf(func_def_15, type, ph4: !>[X0: $tType]:(X0)).
% 1.58/1.41 thf(func_def_16, type, sK5: (a > $o) > a).
% 1.58/1.41 thf(func_def_18, type, sK6: a > $o).
% 1.58/1.41 thf(func_def_19, type, sK7: a > $o).
% 1.58/1.41 thf(f526,plain,(
% 1.58/1.41 $false),
% 1.58/1.41 inference(avatar_sat_refutation,[status(thm)],[f293,f525])).
% 1.58/1.41 thf(f525,plain,(
% 1.58/1.41 spl3_11),
% 1.58/1.41 inference(avatar_contradiction_clause,[status(thm)],[f524])).
% 1.58/1.41 thf(f524,plain,(
% 1.58/1.41 $false | spl3_11),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f523])).
% 1.58/1.41 thf(f523,plain,(
% 1.58/1.41 ($false = $true) | spl3_11),
% 1.58/1.41 inference(forward_demodulation,[status(thm)],[f522,f350])).
% 1.58/1.41 thf(f350,plain,(
% 1.58/1.41 ($false = (sK2 @ (sK5 @ sK2))) | spl3_11),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f341])).
% 1.58/1.41 thf(f341,plain,(
% 1.58/1.41 ($false = (sK2 @ (sK5 @ sK2))) | ($true != $true) | spl3_11),
% 1.58/1.41 inference(superposition,[status(thm)],[f240,f281])).
% 1.58/1.41 thf(f281,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($false = (X0 @ (sK5 @ X0)))) )),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f280])).
% 1.58/1.41 thf(f280,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($false = $true) | ($false = (X0 @ (sK5 @ X0)))) )),
% 1.58/1.41 inference(duplicate_literal_removal,[status(thm)],[f256])).
% 1.58/1.41 thf(f256,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($false = $true) | ((cF @ X0 @ sK1) = $true) | ((cF @ X0 @ sK1) = $true) | ($false = (X0 @ (sK5 @ X0)))) )),
% 1.58/1.41 inference(superposition,[status(thm)],[f190,f33])).
% 1.58/1.41 thf(f33,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (($true = (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0))) | ($false = (X1 @ (sK5 @ X1))) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 1.58/1.41 thf(f32,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($false = ((cF @ X1 @ (sK5 @ X1)) => (X1 @ (sK5 @ X1)))) | ($true = (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0)))) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f31])).
% 1.58/1.41 thf(f31,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($false = ((^[Y0 : a]: ((cF @ X1 @ Y0) => (X1 @ Y0))) @ (sK5 @ X1))) | ($true = (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0)))) )),
% 1.58/1.41 inference(sigma_clausification,[status(thm)],[f30])).
% 1.58/1.41 thf(f30,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (($true = (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0))) | ($false = (!! @ a @ (^[Y0 : a]: ((cF @ X1 @ Y0) => (X1 @ Y0))))) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(binary_proxy_clausification,[status(thm)],[f29])).
% 1.58/1.41 thf(f29,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (($true = ((!! @ a @ (^[Y0 : a]: ((cF @ X1 @ Y0) => (X1 @ Y0)))) => (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0)))) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f28])).
% 1.58/1.41 thf(f28,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cF @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ (sK0 @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cF @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ X0)))) @ X1))) )),
% 1.58/1.41 inference(pi_clausification,[status(thm)],[f27])).
% 1.58/1.41 thf(f27,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: ((cF @ Y0 @ Y1) => (Y0 @ Y1)))) => (Y0 @ (sK0 @ (^[Y1 : a]: (!! @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: ((cF @ Y2 @ Y3) => (Y2 @ Y3)))) => (Y2 @ Y1))))) @ X0)))))) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f26])).
% 1.58/1.41 thf(f26,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (((cF @ X0 @ sK1) = $true) | ($true = ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0)))) )),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f25])).
% 1.58/1.41 thf(f25,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = ((^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0))) | ((cF @ X0 @ sK1) = $true) | ($true != $true)) )),
% 1.58/1.41 inference(superposition,[status(thm)],[f15,f14])).
% 1.58/1.41 thf(f14,plain,(
% 1.58/1.41 ($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK1))),
% 1.58/1.41 inference(cnf_transformation,[status(thm)],[f11])).
% 1.58/1.41 thf(f11,plain,(
% 1.58/1.41 ! [X0 : a > $o,X1 : a > $o] : ((($true != (X0 @ (sK0 @ X1 @ X0))) & ($true = (X1 @ (sK0 @ X1 @ X0)))) | ! [X3 : a] : (($true = (cF @ X0 @ X3)) | ($true != (cF @ X1 @ X3)))) & (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK1)) & (! [X6 : a] : (((cF @ sK2 @ X6) != $true) | ($true = (sK2 @ X6))) & ($true != (sK2 @ sK1))))),
% 1.58/1.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f10,f9,f8])).
% 1.58/1.41 thf(f8,plain,(
% 1.58/1.41 ! [X0 : a > $o,X1 : a > $o] : (? [X2 : a] : (((X0 @ X2) != $true) & ((X1 @ X2) = $true)) => (($true != (X0 @ (sK0 @ X1 @ X0))) & ($true = (X1 @ (sK0 @ X1 @ X0)))))),
% 1.58/1.41 introduced(definition,[],[choice_axiom])).
% 1.58/1.41 thf(f9,plain,(
% 1.58/1.41 ? [X4 : a] : (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X4)) & ? [X5 : a > $o] : (! [X6 : a] : (($true != (cF @ X5 @ X6)) | ($true = (X5 @ X6))) & ($true != (X5 @ X4)))) => (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ sK1)) & ? [X5 : a > $o] : (! [X6 : a] : (($true != (cF @ X5 @ X6)) | ($true = (X5 @ X6))) & ($true != (X5 @ sK1))))),
% 1.58/1.41 introduced(definition,[],[choice_axiom])).
% 1.58/1.41 thf(f10,plain,(
% 1.58/1.41 ? [X5 : a > $o] : (! [X6 : a] : (($true != (cF @ X5 @ X6)) | ($true = (X5 @ X6))) & ($true != (X5 @ sK1))) => (! [X6 : a] : (((cF @ sK2 @ X6) != $true) | ($true = (sK2 @ X6))) & ($true != (sK2 @ sK1)))),
% 1.58/1.41 introduced(definition,[],[choice_axiom])).
% 1.58/1.41 thf(f7,plain,(
% 1.58/1.41 ! [X0 : a > $o,X1 : a > $o] : (? [X2 : a] : (((X0 @ X2) != $true) & ((X1 @ X2) = $true)) | ! [X3 : a] : (($true = (cF @ X0 @ X3)) | ($true != (cF @ X1 @ X3)))) & ? [X4 : a] : (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X4)) & ? [X5 : a > $o] : (! [X6 : a] : (($true != (cF @ X5 @ X6)) | ($true = (X5 @ X6))) & ($true != (X5 @ X4))))),
% 1.58/1.41 inference(ennf_transformation,[status(thm)],[f6])).
% 1.58/1.41 thf(f6,plain,(
% 1.58/1.41 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : (((X1 @ X2) = $true) => ((X0 @ X2) = $true)) => ! [X3 : a] : (($true = (cF @ X1 @ X3)) => ($true = (cF @ X0 @ X3)))) => ! [X4 : a] : (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X4)) => ! [X5 : a > $o] : (! [X6 : a] : (($true = (cF @ X5 @ X6)) => ($true = (X5 @ X6))) => ($true = (X5 @ X4)))))),
% 1.58/1.41 inference(rectify,[status(thm)],[f5])).
% 1.58/1.41 thf(f5,plain,(
% 1.58/1.41 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : (((X1 @ X2) = $true) => ((X0 @ X2) = $true)) => ! [X3 : a] : (($true = (cF @ X1 @ X3)) => ($true = (cF @ X0 @ X3)))) => ! [X4 : a] : (($true = (cF @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X4)) => ! [X8 : a > $o] : (! [X9 : a] : (($true = (cF @ X8 @ X9)) => ($true = (X8 @ X9))) => ((X8 @ X4) = $true))))),
% 1.58/1.41 inference(fool_elimination,[status(thm)],[f4])).
% 1.58/1.41 thf(f4,plain,(
% 1.58/1.41 ~(! [X0 : a > $o,X1 : a > $o] : (! [X2 : a] : ((X1 @ X2) => (X0 @ X2)) => ! [X3 : a] : ((cF @ X1 @ X3) => (cF @ X0 @ X3))) => ! [X4 : a] : ((cF @ (^[X5 : a] : (! [X6 : a > $o] : (! [X7 : a] : ((cF @ X6 @ X7) => (X6 @ X7)) => (X6 @ X5)))) @ X4) => ! [X8 : a > $o] : (! [X9 : a] : ((cF @ X8 @ X9) => (X8 @ X9)) => (X8 @ X4))))),
% 1.58/1.41 inference(rectify,[status(thm)],[f2])).
% 1.58/1.41 thf(f2,negated_conjecture,(
% 1.58/1.41 ~(! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cF @ X0 @ X2) => (cF @ X1 @ X2))) => ! [X2 : a] : ((cF @ (^[X3 : a] : (! [X4 : a > $o] : (! [X5 : a] : ((cF @ X4 @ X5) => (X4 @ X5)) => (X4 @ X3)))) @ X2) => ! [X4 : a > $o] : (! [X3 : a] : ((cF @ X4 @ X3) => (X4 @ X3)) => (X4 @ X2))))),
% 1.58/1.41 inference(negated_conjecture,[status(cth)],[f1])).
% 1.58/1.41 thf(f1,conjecture,(
% 1.58/1.41 ! [X1 : a > $o,X0 : a > $o] : (! [X2 : a] : ((X0 @ X2) => (X1 @ X2)) => ! [X2 : a] : ((cF @ X0 @ X2) => (cF @ X1 @ X2))) => ! [X2 : a] : ((cF @ (^[X3 : a] : (! [X4 : a > $o] : (! [X5 : a] : ((cF @ X4 @ X5) => (X4 @ X5)) => (X4 @ X3)))) @ X2) => ! [X4 : a > $o] : (! [X3 : a] : ((cF @ X4 @ X3) => (X4 @ X3)) => (X4 @ X2)))),
% 1.58/1.41 file('/export/starexec/sandbox2/tmp/tmp.qfNt5dLLtw/DTF2THF_25053.p',cTHM521_pme)).
% 1.58/1.41 thf(f15,plain,(
% 1.58/1.41 ( ! [X3 : a,X0 : a > $o,X1 : a > $o] : (($true != (cF @ X1 @ X3)) | ($true = (cF @ X0 @ X3)) | ($true = (X1 @ (sK0 @ X1 @ X0)))) )),
% 1.58/1.41 inference(cnf_transformation,[status(thm)],[f11])).
% 1.58/1.41 thf(f190,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (($false = (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X3))) | ($true = (cF @ X3 @ sK1))) )),
% 1.58/1.41 inference(not_proxy_clausification,[status(thm)],[f189])).
% 1.58/1.41 thf(f189,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (($true = (cF @ X3 @ sK1)) | ((~ (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X3))) = $true)) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f188])).
% 1.58/1.41 thf(f188,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (($true = (cF @ (^[Y0 : a]: (X3 @ Y0)) @ sK1)) | ((~ (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X3))) = $true)) )),
% 1.58/1.41 inference(boolean_simplification,[status(thm)],[f187])).
% 1.58/1.41 thf(f187,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (((cF @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))) @ sK1) = $true) | ((~ (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X3))) = $true)) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f186])).
% 1.58/1.41 thf(f186,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (((cF @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))) @ sK1) = $true) | ((~ (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (^[Y0 : a]: (X3 @ Y0))))) = $true)) )),
% 1.58/1.41 inference(boolean_simplification,[status(thm)],[f185])).
% 1.58/1.41 thf(f185,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (($true = (~ (X3 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))))))) | ((cF @ (^[Y0 : a]: (~ (~ (X3 @ Y0)))) @ sK1) = $true)) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f178])).
% 1.58/1.41 thf(f178,plain,(
% 1.58/1.41 ( ! [X3 : a > $o] : (($true = (cF @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X3 @ Y1))) @ Y0))) @ sK1)) | ($true = ((^[Y0 : a]: (~ (X3 @ Y0))) @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (^[Y0 : a]: (~ ((^[Y1 : a]: (~ (X3 @ Y1))) @ Y0))))))) )),
% 1.58/1.41 inference(primitive_instantiation,[status(thm)],[f38])).
% 1.58/1.41 thf(f38,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (X0 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (^[Y0 : a]: (~ (X0 @ Y0)))))) | ($true = (cF @ (^[Y0 : a]: (~ (X0 @ Y0))) @ sK1))) )),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f37])).
% 1.58/1.41 thf(f37,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (cF @ (^[Y0 : a]: (~ (X0 @ Y0))) @ sK1)) | ($true != $true) | ($true = (X0 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ (^[Y0 : a]: (~ (X0 @ Y0))))))) )),
% 1.58/1.41 inference(superposition,[status(thm)],[f21,f14])).
% 1.58/1.41 thf(f21,plain,(
% 1.58/1.41 ( ! [X3 : a,X1 : a > $o,X6 : a > $o] : (($true != (cF @ X1 @ X3)) | ($true = (X6 @ (sK0 @ X1 @ (^[Y0 : a]: (~ (X6 @ Y0)))))) | ($true = (cF @ (^[Y0 : a]: (~ (X6 @ Y0))) @ X3))) )),
% 1.58/1.41 inference(not_proxy_clausification,[status(thm)],[f20])).
% 1.58/1.41 thf(f20,plain,(
% 1.58/1.41 ( ! [X3 : a,X1 : a > $o,X6 : a > $o] : (($true != (~ (X6 @ (sK0 @ X1 @ (^[Y0 : a]: (~ (X6 @ Y0))))))) | ($true = (cF @ (^[Y0 : a]: (~ (X6 @ Y0))) @ X3)) | ($true != (cF @ X1 @ X3))) )),
% 1.58/1.41 inference(beta_eta_normalization,[status(thm)],[f19])).
% 1.58/1.41 thf(f19,plain,(
% 1.58/1.41 ( ! [X3 : a,X1 : a > $o,X6 : a > $o] : ((((^[Y0 : a]: (~ (X6 @ Y0))) @ (sK0 @ X1 @ (^[Y0 : a]: (~ (X6 @ Y0))))) != $true) | ($true = (cF @ (^[Y0 : a]: (~ (X6 @ Y0))) @ X3)) | ($true != (cF @ X1 @ X3))) )),
% 1.58/1.41 inference(primitive_instantiation,[status(thm)],[f16])).
% 1.58/1.41 thf(f16,plain,(
% 1.58/1.41 ( ! [X3 : a,X0 : a > $o,X1 : a > $o] : (($true != (X0 @ (sK0 @ X1 @ X0))) | ($true != (cF @ X1 @ X3)) | ($true = (cF @ X0 @ X3))) )),
% 1.58/1.41 inference(cnf_transformation,[status(thm)],[f11])).
% 1.58/1.41 thf(f240,plain,(
% 1.58/1.41 ($true != (cF @ sK2 @ sK1)) | spl3_11),
% 1.58/1.41 inference(avatar_component_clause,[status(thm)],[f239])).
% 1.58/1.41 thf(f239,definition,(
% 1.58/1.41 spl3_11 <=> ($true = (cF @ sK2 @ sK1))),
% 1.58/1.41 introduced(definition,[new_symbols(naming,[spl3_11])],[avatar_definition])).
% 1.58/1.41 thf(f522,plain,(
% 1.58/1.41 ($true = (sK2 @ (sK5 @ sK2))) | spl3_11),
% 1.58/1.41 inference(subsumption_resolution,[status(thm)],[f519,f240])).
% 1.58/1.41 thf(f519,plain,(
% 1.58/1.41 ($true = (cF @ sK2 @ sK1)) | ($true = (sK2 @ (sK5 @ sK2)))),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f512])).
% 1.58/1.41 thf(f512,plain,(
% 1.58/1.41 ($true = (sK2 @ (sK5 @ sK2))) | ($true = (cF @ sK2 @ sK1)) | ($true != $true)),
% 1.58/1.41 inference(superposition,[status(thm)],[f13,f272])).
% 1.58/1.41 thf(f272,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (cF @ X0 @ (sK5 @ X0))) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f271])).
% 1.58/1.41 thf(f271,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (cF @ X0 @ (sK5 @ X0))) | ((cF @ X0 @ sK1) = $true) | ($false = $true)) )),
% 1.58/1.41 inference(duplicate_literal_removal,[status(thm)],[f255])).
% 1.58/1.41 thf(f255,plain,(
% 1.58/1.41 ( ! [X0 : a > $o] : (($true = (cF @ X0 @ (sK5 @ X0))) | ((cF @ X0 @ sK1) = $true) | ($false = $true) | ((cF @ X0 @ sK1) = $true)) )),
% 1.58/1.41 inference(superposition,[status(thm)],[f190,f34])).
% 1.58/1.41 thf(f34,plain,(
% 1.58/1.41 ( ! [X0 : a > $o,X1 : a > $o] : (($true = (X1 @ (sK0 @ (^[Y0 : a]: (!! @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: ((cF @ Y1 @ Y2) => (Y1 @ Y2)))) => (Y1 @ Y0))))) @ X0))) | ((cF @ X0 @ sK1) = $true) | ($true = (cF @ X1 @ (sK5 @ X1)))) )),
% 1.58/1.41 inference(binary_proxy_clausification,[status(thm)],[f32])).
% 1.58/1.41 thf(f13,plain,(
% 1.58/1.41 ( ! [X6 : a] : (((cF @ sK2 @ X6) != $true) | ($true = (sK2 @ X6))) )),
% 1.58/1.41 inference(cnf_transformation,[status(thm)],[f11])).
% 1.58/1.41 thf(f293,plain,(
% 1.58/1.41 ~spl3_11),
% 1.58/1.41 inference(avatar_contradiction_clause,[status(thm)],[f292])).
% 1.58/1.41 thf(f292,plain,(
% 1.58/1.41 $false | ~spl3_11),
% 1.58/1.41 inference(subsumption_resolution,[status(thm)],[f289,f12])).
% 1.58/1.41 thf(f12,plain,(
% 1.58/1.41 ($true != (sK2 @ sK1))),
% 1.58/1.41 inference(cnf_transformation,[status(thm)],[f11])).
% 1.58/1.41 thf(f289,plain,(
% 1.58/1.41 ($true = (sK2 @ sK1)) | ~spl3_11),
% 1.58/1.41 inference(trivial_inequality_removal,[status(thm)],[f284])).
% 1.58/1.41 thf(f284,plain,(
% 1.58/1.41 ($true != $true) | ($true = (sK2 @ sK1)) | ~spl3_11),
% 1.58/1.41 inference(superposition,[status(thm)],[f13,f241])).
% 1.58/1.41 thf(f241,plain,(
% 1.58/1.41 ($true = (cF @ sK2 @ sK1)) | ~spl3_11),
% 1.58/1.41 inference(avatar_component_clause,[status(thm)],[f239])).
% 1.58/1.41 % SZS output end Proof for DTF2THF_25053
% 1.58/1.41 % (25357)------------------------------
% 1.58/1.41 % (25357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.58/1.41 % (25357)Termination reason: Refutation
% 1.58/1.41
% 1.58/1.41 % (25357)Memory used [KB]: 5884
% 1.58/1.41 % (25357)Time elapsed: 0.040 s
% 1.58/1.41 % (25357)Instructions burned: 113 (million)
% 1.58/1.41 % (25357)------------------------------
% 1.58/1.41 % (25357)------------------------------
% 1.58/1.41 % (25327)Success in time 0.147 s
%------------------------------------------------------------------------------