%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO532^1 : TPTP v9.2.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 09:54:28 AM UTC 2026
% Result : Theorem 1.59s 2.01s
% Output : Refutation 1.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 37 ( 30 unt; 0 typ; 0 def)
% Number of atoms : 162 ( 34 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 491 ( 13 ~; 3 |; 0 &; 391 @)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 221 ( 221 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 7 usr; 4 con; 0-3 aty)
% ( 10 !!; 52 ??; 0 @@+; 0 @@-)
% Number of variables : 144 ( 109 ^; 24 !; 11 ?; 144 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
eps: ( $i > $o ) > $i ).
thf(func_def_2,type,
epsb: ( ( $i > $i > $o ) > $i ) > ( $i > $i > $o ) > $i ).
thf(func_def_15,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_16,type,
sK2: ( ( $i > $i > $o ) > $i ) > $i > $i > $o ).
thf(func_def_17,type,
sK3: ( ( $i > $i > $o ) > $i ) > $i ).
thf(func_def_18,type,
sK4: ( ( $i > $i > $o ) > $i ) > $i ).
thf(func_def_19,type,
sK5: ( ( $i > $i > $o ) > $i ) > $i ).
thf(f115,plain,
$false,
inference(equality_resolution,[status(thm)],[f109]) ).
thf(f109,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $i] :
( ( ^ [Y0: $i,Y1: $i] : Y0 )
!= ( X0
@ ( sK2
@ ^ [Y0: $i > $i > $o] :
( eps
@ ^ [Y1: $i] :
( ?? @ $i
@ ^ [Y2: $i] : ( Y0 @ ( X0 @ Y0 @ Y1 @ Y2 ) @ Y2 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f107]) ).
thf(f107,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $i] :
( ( ^ [Y0: $i,Y1: $i] : Y0 )
!= ( ^ [Y0: $i,Y1: $i] :
( X0
@ ( sK2
@ ^ [Y2: $i > $i > $o] :
( eps
@ ^ [Y3: $i] :
( ?? @ $i
@ ( ^ [Y4: $i > $i > $o,Y5: $i,Y6: $i] :
( Y4 @ ( X0 @ Y4 @ Y5 @ Y6 )
@ ( ^ [Y7: $i > $i > $o,Y8: $i,Y9: $i] : Y9
@ Y4
@ Y5
@ Y6 ) )
@ Y2
@ Y3 ) ) ) )
@ Y0
@ Y1 ) ) ),
inference(equality_resolution,[status(thm)],[f103]) ).
thf(f103,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $o] :
( ( X0
@ ( sK2
@ ^ [Y0: $i > $i > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ $i @ ( X0 @ Y0 @ Y1 ) ) ) ) )
!= ( sK2
@ ^ [Y0: $i > $i > $o] :
( eps
@ ^ [Y1: $i] : ( ?? @ $i @ ( X0 @ Y0 @ Y1 ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f102]) ).
thf(f102,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $o] :
( ( ^ [Y0: $i] :
( X0
@ ( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] :
( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f101]) ).
thf(f101,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $o] :
( ( $false = $true )
| ( ( ^ [Y0: $i] :
( X0
@ ( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] :
( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 ) ) ) ),
inference(duplicate_literal_removal,[status(thm)],[f94]) ).
thf(f94,plain,
! [X0: ( $i > $i > $o ) > $i > $i > $o] :
( ( ( ^ [Y0: $i] :
( X0
@ ( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] :
( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 ) ) )
| ( $false = $true )
| ( ( ^ [Y0: $i] :
( X0
@ ( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) ) )
@ Y0 ) )
!= ( ^ [Y0: $i] :
( sK2
@ ^ [Y1: $i > $i > $o] :
( eps
@ ( ^ [Y2: $i > $i > $o,Y3: $i] : ( ?? @ $i @ ( X0 @ Y2 @ Y3 ) )
@ Y1 ) )
@ Y0 ) ) ) ),
inference(constrained_superposition,[status(thm)],[f40,f70]) ).
thf(f70,plain,
! [X0: ( $i > $i > $o ) > $i] :
( $true
= ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) )
@ ( eps
@ ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f68]) ).
thf(f68,plain,
! [X0: ( $i > $i > $o ) > $i] :
( $true
= ( $true
=> ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) )
@ ( eps
@ ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f22,f55]) ).
thf(f55,plain,
! [X0: ( $i > $i > $o ) > $i] :
( ( ?? @ $i
@ ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) ) ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f54]) ).
thf(f54,plain,
! [X0: ( $i > $i > $o ) > $i] :
( $true
= ( $true
=> ( ?? @ $i
@ ( sK2 @ X0
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f51]) ).
thf(f51,plain,
! [X0: ( $i > $i > $o ) > $i] :
( $true
= ( $true
=> ( ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) )
@ ( eps
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X0 @ Y0 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f22,f41]) ).
thf(f41,plain,
! [X1: ( $i > $i > $o ) > $i] :
( ( ?? @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X1 @ Y0 ) ) )
= $true ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X1: ( $i > $i > $o ) > $i] :
( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] : ( ?? @ $i @ ( sK2 @ X1 @ Y0 ) ) )
=> ( sK2 @ X1 @ ( X1 @ ( sK2 @ X1 ) ) @ ( eps @ ( sK2 @ X1 @ ( X1 @ ( sK2 @ X1 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f35]) ).
thf(f35,plain,
! [X1: ( $i > $i > $o ) > $i] :
( $false
= ( ^ [Y0: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( X1 @ Y0 ) @ ( eps @ ( Y0 @ ( X1 @ Y0 ) ) ) ) )
@ ( sK2 @ X1 ) ) ),
inference(sigma_clausification,[status(thm)],[f24]) ).
thf(f24,plain,
! [X1: ( $i > $i > $o ) > $i] :
( ( !! @ ( $i > $i > $o )
@ ^ [Y0: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] : ( ?? @ $i @ ( Y0 @ Y1 ) ) )
=> ( Y0 @ ( X1 @ Y0 ) @ ( eps @ ( Y0 @ ( X1 @ Y0 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f23]) ).
thf(f23,plain,
! [X1: ( $i > $i > $o ) > $i] :
( $false
= ( ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( Y1 @ Y2 ) ) )
=> ( Y1 @ ( Y0 @ Y1 ) @ ( eps @ ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ?? @ ( ( $i > $i > $o ) > $i )
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( Y1 @ Y2 ) ) )
=> ( Y1 @ ( Y0 @ Y1 ) @ ( eps @ ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f16]) ).
thf(f16,plain,
( $true
= ( ~ ( ?? @ ( ( $i > $i > $o ) > $i )
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] : ( ?? @ $i @ ( Y1 @ Y2 ) ) )
=> ( Y1 @ ( Y0 @ Y1 ) @ ( eps @ ( Y1 @ ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f15]) ).
thf(f15,plain,
( $true
= ( ~ ( ?? @ ( ( $i > $i > $o ) > $i )
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y1 )
@ ( ^ [Y2: ( $i > $i > $o ) > $i,Y3: $i > $i > $o] :
( eps
@ ^ [Y4: $i] : ( Y3 @ ( Y2 @ Y3 ) @ Y4 ) )
@ Y0
@ Y1 ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f14,f12]) ).
thf(f12,plain,
( epsb
= ( ^ [Y0: ( $i > $i > $o ) > $i,Y1: $i > $i > $o] :
( eps
@ ^ [Y2: $i] : ( Y1 @ ( Y0 @ Y1 ) @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
( epsb
= ( ^ [Y0: ( $i > $i > $o ) > $i,Y1: $i > $i > $o] :
( eps
@ ^ [Y2: $i] : ( Y1 @ ( Y0 @ Y1 ) @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f8]) ).
thf(f8,plain,
( epsb
= ( ^ [X0: ( $i > $i > $o ) > $i,X1: $i > $i > $o] :
( eps
@ ^ [X2: $i] : ( X1 @ ( X0 @ X1 ) @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( epsb
= ( ^ [X2: ( $i > $i > $o ) > $i,X3: $i > $i > $o] :
( eps
@ ^ [X4: $i] : ( X3 @ ( X2 @ X3 ) @ X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',epsbd) ).
thf(f14,plain,
( ( ~ ( ?? @ ( ( $i > $i > $o ) > $i )
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y1 ) @ ( epsb @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ~ ( ?? @ ( ( $i > $i > $o ) > $i )
@ ^ [Y0: ( $i > $i > $o ) > $i] :
( !! @ ( $i > $i > $o )
@ ^ [Y1: $i > $i > $o] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ?? @ $i
@ ^ [Y3: $i] : ( Y1 @ Y2 @ Y3 ) ) )
=> ( Y1 @ ( Y0 @ Y1 ) @ ( epsb @ Y0 @ Y1 ) ) ) ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f10]) ).
thf(f10,plain,
~ ? [X0: ( $i > $i > $o ) > $i] :
! [X1: $i > $i > $o] :
( ? [X2: $i,X3: $i] : ( X1 @ X3 @ X2 )
=> ( X1 @ ( X0 @ X1 ) @ ( epsb @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,negated_conjecture,
~ ? [X2: ( $i > $i > $o ) > $i] :
! [X3: $i > $i > $o] :
( ? [X4: $i,X1: $i] : ( X3 @ X1 @ X4 )
=> ( X3 @ ( X2 @ X3 ) @ ( epsb @ X2 @ X3 ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
thf(f3,conjecture,
? [X2: ( $i > $i > $o ) > $i] :
! [X3: $i > $i > $o] :
( ? [X4: $i,X1: $i] : ( X3 @ X1 @ X4 )
=> ( X3 @ ( X2 @ X3 ) @ ( epsb @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',conj) ).
thf(f22,plain,
! [X1: $i > $o] :
( $true
= ( ( ?? @ $i @ X1 )
=> ( X1 @ ( eps @ X1 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f21]) ).
thf(f21,plain,
! [X1: $i > $o] :
( ( ^ [Y0: $i > $o] :
( ( ?? @ $i @ Y0 )
=> ( Y0 @ ( eps @ Y0 ) ) )
@ X1 )
= $true ),
inference(pi_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i @ Y0 )
=> ( Y0 @ ( eps @ Y0 ) ) ) )
= $true ),
inference(beta_eta_normalization,[status(thm)],[f13]) ).
thf(f13,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps @ Y0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( ( ?? @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
=> ( Y0 @ ( eps @ Y0 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,axiom,
! [X0: $i > $o] :
( ? [X1: $i] : ( X0 @ X1 )
=> ( X0 @ ( eps @ X0 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',choiceax) ).
thf(f40,plain,
! [X1: ( $i > $i > $o ) > $i] :
( ( sK2 @ X1 @ ( X1 @ ( sK2 @ X1 ) ) @ ( eps @ ( sK2 @ X1 @ ( X1 @ ( sK2 @ X1 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO532^1 : TPTP v9.2.1. Released v5.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 14:33:31 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : SYO532^1 : TPTP v9.2.1. Released v5.2.0.
% 0.19/0.46 % Domain : Syntactic
% 0.19/0.46 % Problem : Binary choice on individuals 3
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : Epsa and (epsb Epsa) work together to give an a and b such that R
% 0.19/0.46 % a b holds, if such an a and b exist for a binary relation R on $i.
% 0.19/0.46 % A choice operator on i can be used to define a choice operator on
% 0.19/0.46 % i*i (Curried). In this version, the second half of the solution is
% 0.19/0.46 % given.
% 0.19/0.46
% 0.19/0.46 % Refs : [Bac10] Backes (2010), Tableaux for Higher-Order Logic with If
% 0.19/0.46 % : [Bro11] Brown E. (2011), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro11]
% 0.19/0.46 % Names : CHOICE9 [Bro11]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.89 v9.1.0, 0.88 v9.0.0, 0.90 v8.2.0, 0.92 v8.1.0, 0.91 v7.5.0, 0.86 v7.4.0, 0.89 v7.2.0, 0.88 v7.0.0, 0.86 v6.4.0, 0.83 v6.3.0, 0.80 v6.2.0, 0.71 v5.5.0, 0.83 v5.4.0, 0.80 v5.2.0
% 0.19/0.46 % Syntax : Number of formulae : 5 ( 1 unt; 2 typ; 1 def)
% 0.19/0.46 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 1 ( 0 avg)
% 0.19/0.46 % Number of connectives : 16 ( 0 ~; 0 |; 0 &; 14 @)
% 0.19/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 8 ( 5 avg)
% 0.19/0.46 % Number of types : 2 ( 0 usr)
% 0.19/0.46 % Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.19/0.46 % Number of variables : 9 ( 3 ^; 2 !; 4 ?; 9 :)
% 0.19/0.46 % SPC : TH0_THM_EQU_NAR
% 0.19/0.46
% 0.19/0.46 % Comments :
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(eps,type,
% 0.19/0.46 eps: ( $i > $o ) > $i ).
% 0.19/0.46
% 0.19/0.46 thf(choiceax,axiom,
% 0.19/0.46 ! [P: $i > $o] :
% 0.19/0.46 ( ? [X: $i] : ( P @ X )
% 0.19/0.46 => ( P @ ( eps @ P ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(epsb,type,
% 0.19/0.46 epsb: ( ( $i > $i > $o ) > $i ) > ( $i > $i > $o ) > $i ).
% 0.19/0.46
% 0.19/0.46 thf(epsbd,definition,
% 0.19/0.46 ( epsb
% 0.19/0.46 = ( ^ [Epsa: ( $i > $i > $o ) > $i,R: $i > $i > $o] :
% 0.19/0.46 ( eps
% 0.19/0.46 @ ^ [Y: $i] : ( R @ ( Epsa @ R ) @ Y ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(conj,conjecture,
% 0.19/0.46 ? [Epsa: ( $i > $i > $o ) > $i] :
% 0.19/0.46 ! [R: $i > $i > $o] :
% 0.19/0.46 ( ? [X: $i,Y: $i] : ( R @ X @ Y )
% 0.19/0.46 => ( R @ ( Epsa @ R ) @ ( epsb @ Epsa @ R ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.46/1.25 ---- Embedded in THF ---
% 1.46/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.26 %%% Generated on Tue Feb 24 14:33:32 EST 2026
% 1.46/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.26 %%% Logic specification used:
% 1.46/1.26 %%% thf(spec, logic, $$dhol).
% 1.46/1.26
% 1.46/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2DTF20818.p
% See solution above
% 1.46/1.26 ------------------------
% 1.46/1.27 ---- Cleaned THF ---
% 1.46/1.27 thf(eps,type,
% 1.46/1.27 eps: ( $i > $o ) > $i ).
% 1.46/1.27
% 1.46/1.27 thf(choiceax,axiom,
% 1.46/1.27 ! [P: $i > $o] :
% 1.46/1.27 ( ? [X: $i] : ( P @ X )
% 1.46/1.27 => ( P @ ( eps @ P ) ) ) ).
% 1.46/1.27
% 1.46/1.27 thf(epsb,type,
% 1.46/1.27 epsb: ( ( $i > $i > $o ) > $i ) > ( $i > $i > $o ) > $i ).
% 1.46/1.27
% 1.46/1.27 thf(epsbd,definition,
% 1.46/1.27 ( epsb
% 1.46/1.27 = ( ^ [Epsa: ( $i > $i > $o ) > $i,R: $i > $i > $o] :
% 1.46/1.27 ( eps
% 1.46/1.27 @ ^ [Y: $i] : ( R @ ( Epsa @ R ) @ Y ) ) ) ) ).
% 1.46/1.27
% 1.46/1.27 thf(conj,conjecture,
% 1.46/1.27 ? [Epsa: ( $i > $i > $o ) > $i] :
% 1.46/1.27 ! [R: $i > $i > $o] :
% 1.46/1.27 ( ? [X: $i,Y: $i] : ( R @ X @ Y )
% 1.46/1.27 => ( R @ ( Epsa @ R ) @ ( epsb @ Epsa @ R ) ) ) ).
% 1.46/1.27 ------------------------
% 1.46/1.28 % (20970)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20818 for (3000ds/183Mi)
% 1.46/1.28 % (20976)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20818 for (3000ds/18Mi)
% 1.46/1.28 % (20973)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20818 for (3000ds/2Mi)
% 1.46/1.28 % (20973)Instruction limit reached!
% 1.46/1.28 % (20973)------------------------------
% 1.46/1.28 % (20973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.28 % (20973)Termination reason: Unknown
% 1.46/1.28 % (20973)Termination phase: Saturation
% 1.46/1.28
% 1.46/1.28 % (20973)Memory used [KB]: 5500
% 1.46/1.28 % (20973)Time elapsed: 0.004 s
% 1.46/1.28 % (20973)Instructions burned: 2 (million)
% 1.46/1.28 % (20973)------------------------------
% 1.46/1.28 % (20973)------------------------------
% 1.46/1.29 % (20971)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_20818 for (3000ds/4Mi)
% 1.46/1.29 % (20976)Instruction limit reached!
% 1.46/1.29 % (20976)------------------------------
% 1.46/1.29 % (20976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.29 % (20976)Termination reason: Unknown
% 1.46/1.29 % (20976)Termination phase: Saturation
% 1.46/1.29
% 1.46/1.29 % (20976)Memory used [KB]: 5628
% 1.46/1.29 % (20976)Time elapsed: 0.009 s
% 1.46/1.29 % (20976)Instructions burned: 20 (million)
% 1.46/1.29 % (20976)------------------------------
% 1.46/1.29 % (20976)------------------------------
% 1.46/1.29 % (20972)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_20818 for (3000ds/27Mi)
% 1.46/1.29 % (20974)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_20818 for (3000ds/2Mi)
% 1.46/1.29 % (20975)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_20818 for (3000ds/275Mi)
% 1.46/1.29 % (20974)Instruction limit reached!
% 1.46/1.29 % (20974)------------------------------
% 1.46/1.29 % (20974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.29 % (20974)Termination reason: Unknown
% 1.46/1.29 % (20974)Termination phase: Property scanning
% 1.46/1.29
% 1.46/1.29 % (20974)Memory used [KB]: 895
% 1.46/1.29 % (20974)Time elapsed: 0.003 s
% 1.46/1.29 % (20974)Instructions burned: 2 (million)
% 1.46/1.29 % (20974)------------------------------
% 1.46/1.29 % (20974)------------------------------
% 1.46/1.29 % (20975)Refutation not found, incomplete strategy
% 1.46/1.29 % (20975)------------------------------
% 1.46/1.29 % (20975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.29 % (20975)Termination reason: Refutation not found, incomplete strategy
% 1.46/1.29
% 1.46/1.29
% 1.46/1.29 % (20975)Memory used [KB]: 5500
% 1.46/1.29 % (20975)Time elapsed: 0.003 s
% 1.46/1.29 % (20975)Instructions burned: 2 (million)
% 1.46/1.29 % (20975)------------------------------
% 1.46/1.29 % (20975)------------------------------
% 1.46/1.29 % (20971)Instruction limit reached!
% 1.46/1.29 % (20971)------------------------------
% 1.46/1.29 % (20971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.29 % (20971)Termination reason: Unknown
% 1.46/1.29 % (20971)Termination phase: Saturation
% 1.46/1.29
% 1.46/1.29 % (20971)Memory used [KB]: 5500
% 1.46/1.29 % (20971)Time elapsed: 0.005 s
% 1.46/1.29 % (20971)Instructions burned: 4 (million)
% 1.46/1.29 % (20971)------------------------------
% 1.46/1.29 % (20971)------------------------------
% 1.46/1.29 % (20972)Refutation not found, incomplete strategy
% 1.46/1.29 % (20972)------------------------------
% 1.46/1.29 % (20972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.29 % (20972)Termination reason: Refutation not found, incomplete strategy
% 1.46/1.29
% 1.46/1.29
% 1.46/1.29 % (20972)Memory used [KB]: 5500
% 1.46/1.29 % (20972)Time elapsed: 0.006 s
% 1.46/1.29 % (20972)Instructions burned: 4 (million)
% 1.46/1.29 % (20972)------------------------------
% 1.46/1.29 % (20972)------------------------------
% 1.59/1.30 % (20978)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_20818 for (2999ds/37Mi)
% 1.59/1.30 % (20977)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/3Mi)
% 1.59/1.30 % (20977)Instruction limit reached!
% 1.59/1.30 % (20977)------------------------------
% 1.59/1.30 % (20977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.30 % (20977)Termination reason: Unknown
% 1.59/1.30 % (20977)Termination phase: Saturation
% 1.59/1.30
% 1.59/1.30 % (20977)Memory used [KB]: 5500
% 1.59/1.30 % (20977)Time elapsed: 0.004 s
% 1.59/1.30 % (20977)Instructions burned: 3 (million)
% 1.59/1.30 % (20977)------------------------------
% 1.59/1.30 % (20977)------------------------------
% 1.59/1.30 % (20980)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_20818 for (2999ds/15Mi)
% 1.59/1.31 % (20982)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_20818 for (2999ds/3Mi)
% 1.59/1.31 % (20983)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_20818 for (2999ds/1041Mi)
% 1.59/1.31 % (20982)Instruction limit reached!
% 1.59/1.31 % (20982)------------------------------
% 1.59/1.31 % (20982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (20982)Termination reason: Unknown
% 1.59/1.31 % (20982)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (20982)Memory used [KB]: 5500
% 1.59/1.31 % (20982)Time elapsed: 0.004 s
% 1.59/1.31 % (20982)Instructions burned: 3 (million)
% 1.59/1.31 % (20982)------------------------------
% 1.59/1.31 % (20982)------------------------------
% 1.59/1.31 % (20984)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/7Mi)
% 1.59/1.31 % (20978)Instruction limit reached!
% 1.59/1.31 % (20978)------------------------------
% 1.59/1.31 % (20978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (20978)Termination reason: Unknown
% 1.59/1.31 % (20978)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (20978)Memory used [KB]: 5884
% 1.59/1.31 % (20978)Time elapsed: 0.013 s
% 1.59/1.31 % (20978)Instructions burned: 37 (million)
% 1.59/1.31 % (20978)------------------------------
% 1.59/1.31 % (20978)------------------------------
% 1.59/1.31 % (20980)Refutation not found, incomplete strategy
% 1.59/1.31 % (20980)------------------------------
% 1.59/1.31 % (20980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (20980)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.31
% 1.59/1.31
% 1.59/1.31 % (20980)Memory used [KB]: 5500
% 1.59/1.31 % (20980)Time elapsed: 0.007 s
% 1.59/1.31 % (20980)Instructions burned: 6 (million)
% 1.59/1.31 % (20980)------------------------------
% 1.59/1.31 % (20980)------------------------------
% 1.59/1.31 % (20984)Instruction limit reached!
% 1.59/1.31 % (20984)------------------------------
% 1.59/1.31 % (20984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.31 % (20984)Termination reason: Unknown
% 1.59/1.31 % (20984)Termination phase: Saturation
% 1.59/1.31
% 1.59/1.31 % (20984)Memory used [KB]: 1023
% 1.59/1.31 % (20984)Time elapsed: 0.007 s
% 1.59/1.31 % (20984)Instructions burned: 8 (million)
% 1.59/1.31 % (20984)------------------------------
% 1.59/1.31 % (20984)------------------------------
% 1.59/1.32 % (20995)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_20818 for (2999ds/3Mi)
% 1.59/1.32 % (20991)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/16Mi)
% 1.59/1.32 % (20995)Instruction limit reached!
% 1.59/1.32 % (20995)------------------------------
% 1.59/1.32 % (20995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.32 % (20995)Termination reason: Unknown
% 1.59/1.32 % (20995)Termination phase: Saturation
% 1.59/1.32
% 1.59/1.32 % (20995)Memory used [KB]: 1023
% 1.59/1.32 % (20995)Time elapsed: 0.003 s
% 1.59/1.32 % (20995)Instructions burned: 3 (million)
% 1.59/1.32 % (20995)------------------------------
% 1.59/1.32 % (20995)------------------------------
% 1.59/1.33 % (20994)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_20818 for (2999ds/3Mi)
% 1.59/1.33 % (20991)Instruction limit reached!
% 1.59/1.33 % (20991)------------------------------
% 1.59/1.33 % (20991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20991)Termination reason: Unknown
% 1.59/1.33 % (20991)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (20991)Memory used [KB]: 5628
% 1.59/1.33 % (20991)Time elapsed: 0.009 s
% 1.59/1.33 % (20991)Instructions burned: 17 (million)
% 1.59/1.33 % (20991)------------------------------
% 1.59/1.33 % (20991)------------------------------
% 1.59/1.33 % (20994)Instruction limit reached!
% 1.59/1.33 % (20994)------------------------------
% 1.59/1.33 % (20994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20994)Termination reason: Unknown
% 1.59/1.33 % (20994)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (20994)Memory used [KB]: 5500
% 1.59/1.33 % (20994)Time elapsed: 0.004 s
% 1.59/1.33 % (20994)Instructions burned: 3 (million)
% 1.59/1.33 % (20994)------------------------------
% 1.59/1.33 % (20994)------------------------------
% 1.59/1.33 % (20997)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/7Mi)
% 1.59/1.33 % (21003)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/4Mi)
% 1.59/1.33 % (20999)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/3Mi)
% 1.59/1.33 % (21003)Instruction limit reached!
% 1.59/1.33 % (21003)------------------------------
% 1.59/1.33 % (21003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (21003)Termination reason: Unknown
% 1.59/1.33 % (21003)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (21003)Memory used [KB]: 5500
% 1.59/1.33 % (21003)Time elapsed: 0.004 s
% 1.59/1.33 % (21003)Instructions burned: 5 (million)
% 1.59/1.33 % (21003)------------------------------
% 1.59/1.33 % (21003)------------------------------
% 1.59/1.33 % (20997)Refutation not found, incomplete strategy
% 1.59/1.33 % (20997)------------------------------
% 1.59/1.33 % (20997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20997)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (20997)Memory used [KB]: 5500
% 1.59/1.33 % (20997)Time elapsed: 0.006 s
% 1.59/1.33 % (20997)Instructions burned: 6 (million)
% 1.59/1.33 % (20997)------------------------------
% 1.59/1.33 % (20997)------------------------------
% 1.59/1.33 % (20999)Instruction limit reached!
% 1.59/1.33 % (20999)------------------------------
% 1.59/1.33 % (20999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20999)Termination reason: Unknown
% 1.59/1.33 % (20999)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (20999)Memory used [KB]: 5500
% 1.59/1.33 % (20999)Time elapsed: 0.004 s
% 1.59/1.33 % (20999)Instructions burned: 3 (million)
% 1.59/1.33 % (20999)------------------------------
% 1.59/1.33 % (20999)------------------------------
% 1.59/1.33 % (20983)Refutation not found, incomplete strategy
% 1.59/1.33 % (20983)------------------------------
% 1.59/1.33 % (20983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20983)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.33
% 1.59/1.33
% 1.59/1.33 % (20983)Memory used [KB]: 5628
% 1.59/1.33 % (20983)Time elapsed: 0.051 s
% 1.59/1.33 % (20983)Instructions burned: 43 (million)
% 1.59/1.33 % (20983)------------------------------
% 1.59/1.33 % (20983)------------------------------
% 1.59/1.33 % (20970)Instruction limit reached!
% 1.59/1.33 % (20970)------------------------------
% 1.59/1.33 % (20970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.33 % (20970)Termination reason: Unknown
% 1.59/1.33 % (20970)Termination phase: Saturation
% 1.59/1.33
% 1.59/1.33 % (20970)Memory used [KB]: 6012
% 1.59/1.33 % (20970)Time elapsed: 0.057 s
% 1.59/1.33 % (20970)Instructions burned: 185 (million)
% 1.59/1.33 % (20970)------------------------------
% 1.59/1.33 % (20970)------------------------------
% 1.59/1.34 % (21007)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/18Mi)
% 1.59/1.34 % (21011)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/6Mi)
% 1.59/1.34 % (21007)Instruction limit reached!
% 1.59/1.34 % (21007)------------------------------
% 1.59/1.34 % (21007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (21007)Termination reason: Unknown
% 1.59/1.34 % (21007)Termination phase: Saturation
% 1.59/1.34
% 1.59/1.34 % (21007)Memory used [KB]: 5500
% 1.59/1.34 % (21007)Time elapsed: 0.007 s
% 1.59/1.34 % (21007)Instructions burned: 18 (million)
% 1.59/1.34 % (21007)------------------------------
% 1.59/1.34 % (21007)------------------------------
% 1.59/1.34 % (21015)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/5Mi)
% 1.59/1.34 % (21011)Refutation not found, incomplete strategy
% 1.59/1.34 % (21011)------------------------------
% 1.59/1.34 % (21011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.34 % (21011)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.34
% 1.59/1.34
% 1.59/1.34 % (21011)Memory used [KB]: 5500
% 1.59/1.34 % (21011)Time elapsed: 0.002 s
% 1.59/1.34 % (21011)Instructions burned: 3 (million)
% 1.59/1.34 % (21011)------------------------------
% 1.59/1.34 % (21011)------------------------------
% 1.59/1.34 % (21008)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/710Mi)
% 1.59/1.35 % (21015)Instruction limit reached!
% 1.59/1.35 % (21015)------------------------------
% 1.59/1.35 % (21015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (21015)Termination reason: Unknown
% 1.59/1.35 % (21015)Termination phase: Saturation
% 1.59/1.35
% 1.59/1.35 % (21015)Memory used [KB]: 5500
% 1.59/1.35 % (21015)Time elapsed: 0.003 s
% 1.59/1.35 % (21015)Instructions burned: 5 (million)
% 1.59/1.35 % (21015)------------------------------
% 1.59/1.35 % (21015)------------------------------
% 1.59/1.35 % (21012)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_20818 for (2999ds/902Mi)
% 1.59/1.35 % (21013)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_20818 for (2999ds/21Mi)
% 1.59/1.35 % (21016)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_20818 for (2999ds/6Mi)
% 1.59/1.35 % (21012)Refutation not found, incomplete strategy
% 1.59/1.35 % (21012)------------------------------
% 1.59/1.35 % (21012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.35 % (21012)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.35
% 1.59/1.35
% 1.59/1.35 % (21012)Memory used [KB]: 5500
% 1.59/1.35 % (21012)Time elapsed: 0.003 s
% 1.59/1.35 % (21012)Instructions burned: 2 (million)
% 1.59/1.35 % (21012)------------------------------
% 1.59/1.35 % (21012)------------------------------
% 1.59/1.35 % (21020)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/377Mi)
% 1.59/1.35 % (21021)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_20818 for (2999ds/779Mi)
% 1.59/1.35 % (21023)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_20818 for (2999ds/19Mi)
% 1.59/1.36 % (21016)Instruction limit reached!
% 1.59/1.36 % (21016)------------------------------
% 1.59/1.36 % (21016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (21016)Termination reason: Unknown
% 1.59/1.36 % (21016)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (21016)Memory used [KB]: 5500
% 1.59/1.36 % (21016)Time elapsed: 0.006 s
% 1.59/1.36 % (21016)Instructions burned: 6 (million)
% 1.59/1.36 % (21016)------------------------------
% 1.59/1.36 % (21016)------------------------------
% 1.59/1.36 % (21023)Instruction limit reached!
% 1.59/1.36 % (21023)------------------------------
% 1.59/1.36 % (21023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (21023)Termination reason: Unknown
% 1.59/1.36 % (21023)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (21023)Memory used [KB]: 5628
% 1.59/1.36 % (21023)Time elapsed: 0.008 s
% 1.59/1.36 % (21023)Instructions burned: 22 (million)
% 1.59/1.36 % (21023)------------------------------
% 1.59/1.36 % (21023)------------------------------
% 1.59/1.36 % (21013)Instruction limit reached!
% 1.59/1.36 % (21013)------------------------------
% 1.59/1.36 % (21013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.36 % (21013)Termination reason: Unknown
% 1.59/1.36 % (21013)Termination phase: Saturation
% 1.59/1.36
% 1.59/1.36 % (21013)Memory used [KB]: 5628
% 1.59/1.36 % (21013)Time elapsed: 0.016 s
% 1.59/1.36 % (21013)Instructions burned: 21 (million)
% 1.59/1.36 % (21013)------------------------------
% 1.59/1.36 % (21013)------------------------------
% 1.59/1.37 % (21026)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/879Mi)
% 1.59/1.37 % (21033)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/3Mi)
% 1.59/1.37 % (21033)Instruction limit reached!
% 1.59/1.37 % (21033)------------------------------
% 1.59/1.37 % (21033)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.37 % (21033)Termination reason: Unknown
% 1.59/1.37 % (21033)Termination phase: Saturation
% 1.59/1.37
% 1.59/1.37 % (21033)Memory used [KB]: 1023
% 1.59/1.37 % (21033)Time elapsed: 0.002 s
% 1.59/1.37 % (21033)Instructions burned: 3 (million)
% 1.59/1.37 % (21033)------------------------------
% 1.59/1.37 % (21033)------------------------------
% 1.59/1.37 % (21028)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/17Mi)
% 1.59/1.38 % (21026)Refutation not found, incomplete strategy
% 1.59/1.38 % (21026)------------------------------
% 1.59/1.38 % (21026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (21026)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.38
% 1.59/1.38
% 1.59/1.38 % (21026)Memory used [KB]: 5500
% 1.59/1.38 % (21026)Time elapsed: 0.007 s
% 1.59/1.38 % (21026)Instructions burned: 7 (million)
% 1.59/1.38 % (21026)------------------------------
% 1.59/1.38 % (21026)------------------------------
% 1.59/1.38 % (21040)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/127Mi)
% 1.59/1.38 % (21036)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_20818 for (2999ds/30Mi)
% 1.59/1.38 % (21028)Instruction limit reached!
% 1.59/1.38 % (21028)------------------------------
% 1.59/1.38 % (21028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.38 % (21028)Termination reason: Unknown
% 1.59/1.38 % (21028)Termination phase: Saturation
% 1.59/1.38
% 1.59/1.38 % (21028)Memory used [KB]: 5628
% 1.59/1.38 % (21028)Time elapsed: 0.013 s
% 1.59/1.38 % (21028)Instructions burned: 17 (million)
% 1.59/1.38 % (21028)------------------------------
% 1.59/1.38 % (21028)------------------------------
% 1.59/1.39 % (21044)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/100Mi)
% 1.59/1.40 % (21044)Refutation not found, incomplete strategy
% 1.59/1.40 % (21044)------------------------------
% 1.59/1.40 % (21044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (21044)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.40
% 1.59/1.40
% 1.59/1.40 % (21044)Memory used [KB]: 5500
% 1.59/1.40 % (21044)Time elapsed: 0.005 s
% 1.59/1.40 % (21044)Instructions burned: 5 (million)
% 1.59/1.40 % (21044)------------------------------
% 1.59/1.40 % (21044)------------------------------
% 1.59/1.40 % (21036)Instruction limit reached!
% 1.59/1.40 % (21036)------------------------------
% 1.59/1.40 % (21036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (21036)Termination reason: Unknown
% 1.59/1.40 % (21036)Termination phase: Saturation
% 1.59/1.40
% 1.59/1.40 % (21036)Memory used [KB]: 5628
% 1.59/1.40 % (21036)Time elapsed: 0.019 s
% 1.59/1.40 % (21036)Instructions burned: 31 (million)
% 1.59/1.40 % (21036)------------------------------
% 1.59/1.40 % (21036)------------------------------
% 1.59/1.40 % (21046)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 DTF2THF_20818 for (2998ds/3Mi)
% 1.59/1.40 % (21046)Instruction limit reached!
% 1.59/1.40 % (21046)------------------------------
% 1.59/1.40 % (21046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.40 % (21046)Termination reason: Unknown
% 1.59/1.40 % (21046)Termination phase: Saturation
% 1.59/1.40
% 1.59/1.40 % (21046)Memory used [KB]: 5500
% 1.59/1.40 % (21046)Time elapsed: 0.003 s
% 1.59/1.40 % (21046)Instructions burned: 3 (million)
% 1.59/1.40 % (21046)------------------------------
% 1.59/1.40 % (21046)------------------------------
% 1.59/1.41 % (21052)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 DTF2THF_20818 for (2998ds/20Mi)
% 1.59/1.41 % (21053)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/86Mi)
% 1.59/1.41 % (21052)Refutation not found, incomplete strategy
% 1.59/1.41 % (21052)------------------------------
% 1.59/1.41 % (21052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (21052)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (21052)Memory used [KB]: 5500
% 1.59/1.41 % (21052)Time elapsed: 0.002 s
% 1.59/1.41 % (21052)Instructions burned: 1 (million)
% 1.59/1.41 % (21052)------------------------------
% 1.59/1.41 % (21052)------------------------------
% 1.59/1.41 % (21055)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/107Mi)
% 1.59/1.41 % (21055)Refutation not found, incomplete strategy
% 1.59/1.41 % (21055)------------------------------
% 1.59/1.41 % (21055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.41 % (21055)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.41
% 1.59/1.41
% 1.59/1.41 % (21055)Memory used [KB]: 5500
% 1.59/1.41 % (21055)Time elapsed: 0.003 s
% 1.59/1.41 % (21055)Instructions burned: 4 (million)
% 1.59/1.41 % (21055)------------------------------
% 1.59/1.41 % (21055)------------------------------
% 1.59/1.42 % (21040)Instruction limit reached!
% 1.59/1.42 % (21040)------------------------------
% 1.59/1.42 % (21040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.42 % (21040)Termination reason: Unknown
% 1.59/1.42 % (21040)Termination phase: Saturation
% 1.59/1.42
% 1.59/1.42 % (21040)Memory used [KB]: 6012
% 1.59/1.42 % (21040)Time elapsed: 0.040 s
% 1.59/1.42 % (21040)Instructions burned: 129 (million)
% 1.59/1.42 % (21040)------------------------------
% 1.59/1.42 % (21040)------------------------------
% 1.59/1.42 % (21060)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/39Mi)
% 1.59/1.42 % (21063)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/448Mi)
% 1.59/1.43 % (21066)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/46Mi)
% 1.59/1.43 % (21060)Instruction limit reached!
% 1.59/1.43 % (21060)------------------------------
% 1.59/1.43 % (21060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.43 % (21060)Termination reason: Unknown
% 1.59/1.43 % (21060)Termination phase: Saturation
% 1.59/1.43
% 1.59/1.43 % (21060)Memory used [KB]: 5756
% 1.59/1.43 % (21060)Time elapsed: 0.014 s
% 1.59/1.43 % (21060)Instructions burned: 41 (million)
% 1.59/1.43 % (21060)------------------------------
% 1.59/1.43 % (21060)------------------------------
% 1.59/1.44 % (21053)Instruction limit reached!
% 1.59/1.44 % (21053)------------------------------
% 1.59/1.44 % (21053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.44 % (21053)Termination reason: Unknown
% 1.59/1.44 % (21053)Termination phase: Saturation
% 1.59/1.44
% 1.59/1.44 % (21053)Memory used [KB]: 5884
% 1.59/1.44 % (21053)Time elapsed: 0.028 s
% 1.59/1.44 % (21053)Instructions burned: 86 (million)
% 1.59/1.44 % (21053)------------------------------
% 1.59/1.44 % (21053)------------------------------
% 1.59/1.44 % (21070)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/98Mi)
% 1.59/1.44 % (21066)Instruction limit reached!
% 1.59/1.44 % (21066)------------------------------
% 1.59/1.44 % (21066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.44 % (21066)Termination reason: Unknown
% 1.59/1.44 % (21066)Termination phase: Saturation
% 1.59/1.44
% 1.59/1.44 % (21066)Memory used [KB]: 5628
% 1.59/1.44 % (21066)Time elapsed: 0.037 s
% 1.59/1.44 % (21066)Instructions burned: 47 (million)
% 1.59/1.44 % (21066)------------------------------
% 1.59/1.44 % (21066)------------------------------
% 1.59/1.45 % (21071)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/507Mi)
% 1.59/1.45 % (21070)Refutation not found, incomplete strategy
% 1.59/1.45 % (21070)------------------------------
% 1.59/1.45 % (21070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (21070)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.45
% 1.59/1.45
% 1.59/1.45 % (21070)Memory used [KB]: 1023
% 1.59/1.45 % (21070)Time elapsed: 0.006 s
% 1.59/1.45 % (21070)Instructions burned: 12 (million)
% 1.59/1.45 % (21070)------------------------------
% 1.59/1.45 % (21070)------------------------------
% 1.59/1.45 % (21071)Refutation not found, incomplete strategy
% 1.59/1.45 % (21071)------------------------------
% 1.59/1.45 % (21071)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.45 % (21071)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.45
% 1.59/1.45
% 1.59/1.45 % (21071)Memory used [KB]: 5500
% 1.59/1.45 % (21071)Time elapsed: 0.004 s
% 1.59/1.45 % (21071)Instructions burned: 6 (million)
% 1.59/1.45 % (21071)------------------------------
% 1.59/1.45 % (21071)------------------------------
% 1.59/1.45 % (21076)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/149Mi)
% 1.59/1.46 % (21079)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/39Mi)
% 1.59/1.46 % (21081)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/6Mi)
% 1.59/1.46 % (21020)Instruction limit reached!
% 1.59/1.46 % (21020)------------------------------
% 1.59/1.46 % (21020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.46 % (21020)Termination reason: Unknown
% 1.59/1.46 % (21020)Termination phase: Saturation
% 1.59/1.46
% 1.59/1.46 % (21020)Memory used [KB]: 6524
% 1.59/1.46 % (21020)Time elapsed: 0.111 s
% 1.59/1.46 % (21020)Instructions burned: 377 (million)
% 1.59/1.46 % (21020)------------------------------
% 1.59/1.46 % (21020)------------------------------
% 1.59/1.46 % (21081)Instruction limit reached!
% 1.59/1.46 % (21081)------------------------------
% 1.59/1.46 % (21081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.46 % (21081)Termination reason: Unknown
% 1.59/1.46 % (21081)Termination phase: Saturation
% 1.59/1.46
% 1.59/1.46 % (21081)Memory used [KB]: 10106
% 1.59/1.46 % (21081)Time elapsed: 0.027 s
% 1.59/1.46 % (21081)Instructions burned: 8 (million)
% 1.59/1.46 % (21081)------------------------------
% 1.59/1.46 % (21081)------------------------------
% 1.59/1.47 % (21079)Instruction limit reached!
% 1.59/1.47 % (21079)------------------------------
% 1.59/1.47 % (21079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.47 % (21079)Termination reason: Unknown
% 1.59/1.47 % (21079)Termination phase: Saturation
% 1.59/1.47
% 1.59/1.47 % (21079)Memory used [KB]: 5628
% 1.59/1.47 % (21079)Time elapsed: 0.037 s
% 1.59/1.47 % (21079)Instructions burned: 39 (million)
% 1.59/1.47 % (21079)------------------------------
% 1.59/1.47 % (21079)------------------------------
% 1.59/1.47 % (21084)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/1087Mi)
% 1.59/1.47 % (21085)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_20818 for (2998ds/47Mi)
% 1.59/1.48 % (21084)Refutation not found, incomplete strategy
% 1.59/1.48 % (21084)------------------------------
% 1.59/1.48 % (21084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.48 % (21084)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.48
% 1.59/1.48
% 1.59/1.48 % (21084)Memory used [KB]: 5500
% 1.59/1.48 % (21084)Time elapsed: 0.004 s
% 1.59/1.48 % (21084)Instructions burned: 8 (million)
% 1.59/1.48 % (21084)------------------------------
% 1.59/1.48 % (21084)------------------------------
% 1.59/1.48 % (21087)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/44Mi)
% 1.59/1.48 % (21093)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/432Mi)
% 1.59/1.49 % (21085)Instruction limit reached!
% 1.59/1.49 % (21085)------------------------------
% 1.59/1.49 % (21085)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.49 % (21085)Termination reason: Unknown
% 1.59/1.49 % (21085)Termination phase: Saturation
% 1.59/1.49
% 1.59/1.49 % (21085)Memory used [KB]: 5756
% 1.59/1.49 % (21085)Time elapsed: 0.018 s
% 1.59/1.49 % (21085)Instructions burned: 48 (million)
% 1.59/1.49 % (21085)------------------------------
% 1.59/1.49 % (21085)------------------------------
% 1.59/1.50 % (21087)Instruction limit reached!
% 1.59/1.50 % (21087)------------------------------
% 1.59/1.50 % (21087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.50 % (21087)Termination reason: Unknown
% 1.59/1.50 % (21087)Termination phase: Saturation
% 1.59/1.50
% 1.59/1.50 % (21087)Memory used [KB]: 1407
% 1.59/1.50 % (21087)Time elapsed: 0.017 s
% 1.59/1.50 % (21087)Instructions burned: 46 (million)
% 1.59/1.50 % (21087)------------------------------
% 1.59/1.50 % (21087)------------------------------
% 1.59/1.50 % (21102)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/62Mi)
% 1.59/1.50 % (21076)Instruction limit reached!
% 1.59/1.50 % (21076)------------------------------
% 1.59/1.50 % (21076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.50 % (21076)Termination reason: Unknown
% 1.59/1.50 % (21076)Termination phase: Saturation
% 1.59/1.50
% 1.59/1.50 % (21076)Memory used [KB]: 6140
% 1.59/1.50 % (21076)Time elapsed: 0.069 s
% 1.59/1.50 % (21076)Instructions burned: 152 (million)
% 1.59/1.50 % (21076)------------------------------
% 1.59/1.50 % (21076)------------------------------
% 1.59/1.51 % (21108)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/31Mi)
% 1.59/1.51 % (21110)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/96Mi)
% 1.59/1.52 % (21108)Instruction limit reached!
% 1.59/1.52 % (21108)------------------------------
% 1.59/1.52 % (21108)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.52 % (21108)Termination reason: Unknown
% 1.59/1.52 % (21108)Termination phase: Saturation
% 1.59/1.52
% 1.59/1.52 % (21108)Memory used [KB]: 6012
% 1.59/1.52 % (21108)Time elapsed: 0.012 s
% 1.59/1.52 % (21108)Instructions burned: 34 (million)
% 1.59/1.52 % (21108)------------------------------
% 1.59/1.52 % (21108)------------------------------
% 1.59/1.52 % (21102)Instruction limit reached!
% 1.59/1.52 % (21102)------------------------------
% 1.59/1.52 % (21102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.52 % (21102)Termination reason: Unknown
% 1.59/1.52 % (21102)Termination phase: Saturation
% 1.59/1.52
% 1.59/1.52 % (21102)Memory used [KB]: 5884
% 1.59/1.52 % (21102)Time elapsed: 0.023 s
% 1.59/1.52 % (21102)Instructions burned: 65 (million)
% 1.59/1.52 % (21102)------------------------------
% 1.59/1.52 % (21102)------------------------------
% 1.59/1.53 % (21113)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/453Mi)
% 1.59/1.53 % (21120)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/71Mi)
% 1.59/1.53 % (21113)Refutation not found, incomplete strategy
% 1.59/1.53 % (21113)------------------------------
% 1.59/1.53 % (21113)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.53 % (21113)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.53
% 1.59/1.53
% 1.59/1.53 % (21113)Memory used [KB]: 5500
% 1.59/1.53 % (21113)Time elapsed: 0.005 s
% 1.59/1.53 % (21113)Instructions burned: 9 (million)
% 1.59/1.53 % (21113)------------------------------
% 1.59/1.53 % (21113)------------------------------
% 1.59/1.54 % (21110)Instruction limit reached!
% 1.59/1.54 % (21110)------------------------------
% 1.59/1.54 % (21110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.54 % (21110)Termination reason: Unknown
% 1.59/1.54 % (21110)Termination phase: Saturation
% 1.59/1.54
% 1.59/1.54 % (21110)Memory used [KB]: 5756
% 1.59/1.54 % (21110)Time elapsed: 0.031 s
% 1.59/1.54 % (21110)Instructions burned: 96 (million)
% 1.59/1.54 % (21110)------------------------------
% 1.59/1.54 % (21110)------------------------------
% 1.59/1.54 % (21128)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/83Mi)
% 1.59/1.54 % (21128)Refutation not found, incomplete strategy
% 1.59/1.54 % (21128)------------------------------
% 1.59/1.54 % (21128)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.54 % (21128)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.54
% 1.59/1.54
% 1.59/1.54 % (21128)Memory used [KB]: 5500
% 1.59/1.54 % (21128)Time elapsed: 0.002 s
% 1.59/1.54 % (21128)Instructions burned: 1 (million)
% 1.59/1.54 % (21128)------------------------------
% 1.59/1.54 % (21128)------------------------------
% 1.59/1.55 % (21133)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/11Mi)
% 1.59/1.55 % (21137)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/41Mi)
% 1.59/1.55 % (21133)Instruction limit reached!
% 1.59/1.55 % (21133)------------------------------
% 1.59/1.55 % (21133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.55 % (21133)Termination reason: Unknown
% 1.59/1.55 % (21133)Termination phase: Saturation
% 1.59/1.55
% 1.59/1.55 % (21133)Memory used [KB]: 5500
% 1.59/1.55 % (21133)Time elapsed: 0.005 s
% 1.59/1.55 % (21133)Instructions burned: 12 (million)
% 1.59/1.55 % (21133)------------------------------
% 1.59/1.55 % (21133)------------------------------
% 1.59/1.56 % (21137)Refutation not found, incomplete strategy
% 1.59/1.56 % (21137)------------------------------
% 1.59/1.56 % (21137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.56 % (21137)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.56
% 1.59/1.56
% 1.59/1.56 % (21137)Memory used [KB]: 5500
% 1.59/1.56 % (21137)Time elapsed: 0.004 s
% 1.59/1.56 % (21137)Instructions burned: 6 (million)
% 1.59/1.56 % (21137)------------------------------
% 1.59/1.56 % (21137)------------------------------
% 1.59/1.56 % (21120)Instruction limit reached!
% 1.59/1.56 % (21120)------------------------------
% 1.59/1.56 % (21120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.56 % (21120)Termination reason: Unknown
% 1.59/1.56 % (21120)Termination phase: Saturation
% 1.59/1.56
% 1.59/1.56 % (21120)Memory used [KB]: 5756
% 1.59/1.56 % (21120)Time elapsed: 0.027 s
% 1.59/1.56 % (21120)Instructions burned: 73 (million)
% 1.59/1.56 % (21120)------------------------------
% 1.59/1.56 % (21120)------------------------------
% 1.59/1.56 % (21140)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/6Mi)
% 1.59/1.56 % (21140)Refutation not found, incomplete strategy
% 1.59/1.56 % (21140)------------------------------
% 1.59/1.56 % (21140)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.56 % (21140)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.56
% 1.59/1.56
% 1.59/1.56 % (21140)Memory used [KB]: 5500
% 1.59/1.56 % (21140)Time elapsed: 0.002 s
% 1.59/1.56 % (21140)Instructions burned: 2 (million)
% 1.59/1.56 % (21140)------------------------------
% 1.59/1.56 % (21140)------------------------------
% 1.59/1.57 % (21141)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/150Mi)
% 1.59/1.57 % (21142)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/343Mi)
% 1.59/1.57 % (21063)Instruction limit reached!
% 1.59/1.57 % (21063)------------------------------
% 1.59/1.57 % (21063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.57 % (21063)Termination reason: Unknown
% 1.59/1.57 % (21063)Termination phase: Saturation
% 1.59/1.57
% 1.59/1.57 % (21063)Memory used [KB]: 6780
% 1.59/1.57 % (21063)Time elapsed: 0.145 s
% 1.59/1.57 % (21063)Instructions burned: 448 (million)
% 1.59/1.57 % (21063)------------------------------
% 1.59/1.57 % (21063)------------------------------
% 1.59/1.57 % (21142)Refutation not found, incomplete strategy
% 1.59/1.57 % (21142)------------------------------
% 1.59/1.57 % (21142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.57 % (21142)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.57
% 1.59/1.57
% 1.59/1.57 % (21142)Memory used [KB]: 5500
% 1.59/1.57 % (21142)Time elapsed: 0.004 s
% 1.59/1.57 % (21142)Instructions burned: 5 (million)
% 1.59/1.57 % (21142)------------------------------
% 1.59/1.57 % (21142)------------------------------
% 1.59/1.57 % (21144)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/109Mi)
% 1.59/1.58 % (21149)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/253Mi)
% 1.59/1.58 % (21149)Refutation not found, incomplete strategy
% 1.59/1.58 % (21149)------------------------------
% 1.59/1.58 % (21149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.58 % (21149)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.58
% 1.59/1.58
% 1.59/1.58 % (21149)Memory used [KB]: 5500
% 1.59/1.58 % (21149)Time elapsed: 0.003 s
% 1.59/1.58 % (21149)Instructions burned: 3 (million)
% 1.59/1.58 % (21149)------------------------------
% 1.59/1.58 % (21149)------------------------------
% 1.59/1.58 % (21153)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_20818 for (2997ds/140Mi)
% 1.59/1.58 % (21153)Refutation not found, incomplete strategy
% 1.59/1.58 % (21153)------------------------------
% 1.59/1.58 % (21153)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.58 % (21153)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.58
% 1.59/1.58
% 1.59/1.58 % (21153)Memory used [KB]: 5500
% 1.59/1.58 % (21153)Time elapsed: 0.003 s
% 1.59/1.58 % (21153)Instructions burned: 3 (million)
% 1.59/1.58 % (21153)------------------------------
% 1.59/1.58 % (21153)------------------------------
% 1.59/1.58 % (21008)Instruction limit reached!
% 1.59/1.58 % (21008)------------------------------
% 1.59/1.58 % (21008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.58 % (21008)Termination reason: Unknown
% 1.59/1.58 % (21008)Termination phase: Saturation
% 1.59/1.58
% 1.59/1.58 % (21008)Memory used [KB]: 7036
% 1.59/1.58 % (21008)Time elapsed: 0.241 s
% 1.59/1.58 % (21008)Instructions burned: 712 (million)
% 1.59/1.58 % (21008)------------------------------
% 1.59/1.58 % (21008)------------------------------
% 1.59/1.59 % (21161)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/614Mi)
% 1.59/1.59 % (21021)Instruction limit reached!
% 1.59/1.59 % (21021)------------------------------
% 1.59/1.59 % (21021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.59 % (21021)Termination reason: Unknown
% 1.59/1.59 % (21021)Termination phase: Saturation
% 1.59/1.59
% 1.59/1.59 % (21021)Memory used [KB]: 7291
% 1.59/1.59 % (21021)Time elapsed: 0.237 s
% 1.59/1.59 % (21021)Instructions burned: 779 (million)
% 1.59/1.59 % (21021)------------------------------
% 1.59/1.59 % (21021)------------------------------
% 1.59/1.59 % (21162)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/202Mi)
% 1.59/1.59 % (21162)Refutation not found, incomplete strategy
% 1.59/1.59 % (21162)------------------------------
% 1.59/1.59 % (21162)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.59 % (21162)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.59
% 1.59/1.59
% 1.59/1.59 % (21162)Memory used [KB]: 5500
% 1.59/1.59 % (21162)Time elapsed: 0.003 s
% 1.59/1.59 % (21162)Instructions burned: 3 (million)
% 1.59/1.59 % (21162)------------------------------
% 1.59/1.59 % (21162)------------------------------
% 1.59/1.59 % (21161)Refutation not found, incomplete strategy
% 1.59/1.59 % (21161)------------------------------
% 1.59/1.59 % (21161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.59 % (21161)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.59
% 1.59/1.59
% 1.59/1.59 % (21161)Memory used [KB]: 5500
% 1.59/1.59 % (21161)Time elapsed: 0.005 s
% 1.59/1.59 % (21161)Instructions burned: 8 (million)
% 1.59/1.59 % (21161)------------------------------
% 1.59/1.59 % (21161)------------------------------
% 1.59/1.59 % (21163)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/339Mi)
% 1.59/1.60 % (21163)Refutation not found, incomplete strategy
% 1.59/1.60 % (21163)------------------------------
% 1.59/1.60 % (21163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.60 % (21163)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.60
% 1.59/1.60
% 1.59/1.60 % (21163)Memory used [KB]: 5500
% 1.59/1.60 % (21163)Time elapsed: 0.006 s
% 1.59/1.60 % (21163)Instructions burned: 11 (million)
% 1.59/1.60 % (21163)------------------------------
% 1.59/1.60 % (21163)------------------------------
% 1.59/1.60 % (21165)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=283:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/283Mi)
% 1.59/1.60 % (21144)Instruction limit reached!
% 1.59/1.60 % (21144)------------------------------
% 1.59/1.60 % (21144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.60 % (21144)Termination reason: Unknown
% 1.59/1.60 % (21144)Termination phase: Saturation
% 1.59/1.60
% 1.59/1.60 % (21144)Memory used [KB]: 7547
% 1.59/1.60 % (21144)Time elapsed: 0.030 s
% 1.59/1.60 % (21144)Instructions burned: 109 (million)
% 1.59/1.60 % (21144)------------------------------
% 1.59/1.60 % (21144)------------------------------
% 1.59/1.60 % (21167)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/134Mi)
% 1.59/1.60 % (21168)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/298Mi)
% 1.59/1.61 % (21093)Instruction limit reached!
% 1.59/1.61 % (21093)------------------------------
% 1.59/1.61 % (21093)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.61 % (21093)Termination reason: Unknown
% 1.59/1.61 % (21093)Termination phase: Saturation
% 1.59/1.61
% 1.59/1.61 % (21093)Memory used [KB]: 2686
% 1.59/1.61 % (21093)Time elapsed: 0.123 s
% 1.59/1.61 % (21093)Instructions burned: 433 (million)
% 1.59/1.61 % (21093)------------------------------
% 1.59/1.61 % (21093)------------------------------
% 1.59/1.61 % (21171)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/192Mi)
% 1.59/1.61 % (21175)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/258Mi)
% 1.59/1.61 % (21175)Refutation not found, incomplete strategy
% 1.59/1.61 % (21175)------------------------------
% 1.59/1.61 % (21175)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.61 % (21175)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.61
% 1.59/1.61
% 1.59/1.61 % (21175)Memory used [KB]: 5500
% 1.59/1.61 % (21175)Time elapsed: 0.002 s
% 1.59/1.61 % (21175)Instructions burned: 2 (million)
% 1.59/1.61 % (21175)------------------------------
% 1.59/1.61 % (21175)------------------------------
% 1.59/1.61 % (21141)Instruction limit reached!
% 1.59/1.61 % (21141)------------------------------
% 1.59/1.61 % (21141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.61 % (21141)Termination reason: Unknown
% 1.59/1.61 % (21141)Termination phase: Saturation
% 1.59/1.61
% 1.59/1.61 % (21141)Memory used [KB]: 6140
% 1.59/1.61 % (21141)Time elapsed: 0.051 s
% 1.59/1.61 % (21141)Instructions burned: 150 (million)
% 1.59/1.61 % (21141)------------------------------
% 1.59/1.61 % (21141)------------------------------
% 1.59/1.62 % (21179)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/90Mi)
% 1.59/1.62 % (21183)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/231Mi)
% 1.59/1.62 % (21185)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/458Mi)
% 1.59/1.63 % (21185)Refutation not found, incomplete strategy
% 1.59/1.63 % (21185)------------------------------
% 1.59/1.63 % (21185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.63 % (21185)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.63
% 1.59/1.63
% 1.59/1.63 % (21185)Memory used [KB]: 5500
% 1.59/1.63 % (21185)Time elapsed: 0.005 s
% 1.59/1.63 % (21185)Instructions burned: 9 (million)
% 1.59/1.63 % (21185)------------------------------
% 1.59/1.63 % (21185)------------------------------
% 1.59/1.64 % (21189)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/31Mi)
% 1.59/1.65 % (21179)Instruction limit reached!
% 1.59/1.65 % (21179)------------------------------
% 1.59/1.65 % (21179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (21179)Termination reason: Unknown
% 1.59/1.65 % (21179)Termination phase: Saturation
% 1.59/1.65
% 1.59/1.65 % (21179)Memory used [KB]: 5756
% 1.59/1.65 % (21179)Time elapsed: 0.030 s
% 1.59/1.65 % (21179)Instructions burned: 92 (million)
% 1.59/1.65 % (21179)------------------------------
% 1.59/1.65 % (21179)------------------------------
% 1.59/1.65 % (21167)Instruction limit reached!
% 1.59/1.65 % (21167)------------------------------
% 1.59/1.65 % (21167)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (21167)Termination reason: Unknown
% 1.59/1.65 % (21167)Termination phase: Saturation
% 1.59/1.65
% 1.59/1.65 % (21167)Memory used [KB]: 6140
% 1.59/1.65 % (21167)Time elapsed: 0.046 s
% 1.59/1.65 % (21167)Instructions burned: 134 (million)
% 1.59/1.65 % (21167)------------------------------
% 1.59/1.65 % (21167)------------------------------
% 1.59/1.65 % (21189)Instruction limit reached!
% 1.59/1.65 % (21189)------------------------------
% 1.59/1.65 % (21189)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.65 % (21189)Termination reason: Unknown
% 1.59/1.65 % (21189)Termination phase: Saturation
% 1.59/1.65
% 1.59/1.65 % (21189)Memory used [KB]: 6012
% 1.59/1.65 % (21189)Time elapsed: 0.012 s
% 1.59/1.65 % (21189)Instructions burned: 34 (million)
% 1.59/1.65 % (21189)------------------------------
% 1.59/1.65 % (21189)------------------------------
% 1.59/1.65 % (21196)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/297Mi)
% 1.59/1.66 % (21198)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/987Mi)
% 1.59/1.66 % (21199)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/182Mi)
% 1.59/1.67 % (21198)Refutation not found, incomplete strategy
% 1.59/1.67 % (21198)------------------------------
% 1.59/1.67 % (21198)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.67 % (21198)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.67
% 1.59/1.67
% 1.59/1.67 % (21198)Memory used [KB]: 5628
% 1.59/1.67 % (21198)Time elapsed: 0.012 s
% 1.59/1.67 % (21198)Instructions burned: 30 (million)
% 1.59/1.67 % (21198)------------------------------
% 1.59/1.67 % (21198)------------------------------
% 1.59/1.67 % (21171)Instruction limit reached!
% 1.59/1.67 % (21171)------------------------------
% 1.59/1.67 % (21171)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.67 % (21171)Termination reason: Unknown
% 1.59/1.67 % (21171)Termination phase: Saturation
% 1.59/1.67
% 1.59/1.67 % (21171)Memory used [KB]: 6396
% 1.59/1.67 % (21171)Time elapsed: 0.063 s
% 1.59/1.67 % (21171)Instructions burned: 194 (million)
% 1.59/1.67 % (21171)------------------------------
% 1.59/1.67 % (21171)------------------------------
% 1.59/1.68 % (21206)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/182Mi)
% 1.59/1.68 % (21208)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_20818 for (2996ds/154Mi)
% 1.59/1.68 % (21165)Instruction limit reached!
% 1.59/1.68 % (21165)------------------------------
% 1.59/1.68 % (21165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.68 % (21165)Termination reason: Unknown
% 1.59/1.68 % (21165)Termination phase: Saturation
% 1.59/1.68
% 1.59/1.68 % (21165)Memory used [KB]: 6652
% 1.59/1.68 % (21165)Time elapsed: 0.084 s
% 1.59/1.68 % (21165)Instructions burned: 284 (million)
% 1.59/1.68 % (21165)------------------------------
% 1.59/1.68 % (21165)------------------------------
% 1.59/1.69 % (21214)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/79Mi)
% 1.59/1.69 % (21183)Instruction limit reached!
% 1.59/1.69 % (21183)------------------------------
% 1.59/1.69 % (21183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.69 % (21183)Termination reason: Unknown
% 1.59/1.69 % (21183)Termination phase: Saturation
% 1.59/1.69
% 1.59/1.69 % (21183)Memory used [KB]: 6652
% 1.59/1.69 % (21183)Time elapsed: 0.073 s
% 1.59/1.69 % (21183)Instructions burned: 233 (million)
% 1.59/1.69 % (21183)------------------------------
% 1.59/1.69 % (21183)------------------------------
% 1.59/1.69 % (21214)Refutation not found, incomplete strategy
% 1.59/1.69 % (21214)------------------------------
% 1.59/1.69 % (21214)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.69 % (21214)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.69
% 1.59/1.69
% 1.59/1.69 % (21214)Memory used [KB]: 5500
% 1.59/1.69 % (21214)Time elapsed: 0.004 s
% 1.59/1.69 % (21214)Instructions burned: 8 (million)
% 1.59/1.69 % (21214)------------------------------
% 1.59/1.69 % (21214)------------------------------
% 1.59/1.70 % (21168)Instruction limit reached!
% 1.59/1.70 % (21168)------------------------------
% 1.59/1.70 % (21168)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.70 % (21168)Termination reason: Unknown
% 1.59/1.70 % (21168)Termination phase: Saturation
% 1.59/1.70
% 1.59/1.70 % (21168)Memory used [KB]: 5884
% 1.59/1.70 % (21168)Time elapsed: 0.100 s
% 1.59/1.70 % (21168)Instructions burned: 298 (million)
% 1.59/1.70 % (21168)------------------------------
% 1.59/1.70 % (21168)------------------------------
% 1.59/1.70 % (21221)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/216Mi)
% 1.59/1.70 % (21222)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/114Mi)
% 1.59/1.71 % (21199)Instruction limit reached!
% 1.59/1.71 % (21199)------------------------------
% 1.59/1.71 % (21199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.71 % (21199)Termination reason: Unknown
% 1.59/1.71 % (21199)Termination phase: Saturation
% 1.59/1.71
% 1.59/1.71 % (21199)Memory used [KB]: 7931
% 1.59/1.71 % (21199)Time elapsed: 0.052 s
% 1.59/1.71 % (21199)Instructions burned: 182 (million)
% 1.59/1.71 % (21199)------------------------------
% 1.59/1.71 % (21199)------------------------------
% 1.59/1.71 % (21224)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/922Mi)
% 1.59/1.72 % (21224)Refutation not found, incomplete strategy
% 1.59/1.72 % (21224)------------------------------
% 1.59/1.72 % (21224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.72 % (21224)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.72
% 1.59/1.72
% 1.59/1.72 % (21224)Memory used [KB]: 5500
% 1.59/1.72 % (21224)Time elapsed: 0.005 s
% 1.59/1.72 % (21224)Instructions burned: 9 (million)
% 1.59/1.72 % (21224)------------------------------
% 1.59/1.72 % (21224)------------------------------
% 1.59/1.72 % (21227)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/182Mi)
% 1.59/1.73 % (21230)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/164Mi)
% 1.59/1.73 % (21230)Refutation not found, incomplete strategy
% 1.59/1.73 % (21230)------------------------------
% 1.59/1.73 % (21230)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.73 % (21230)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.73
% 1.59/1.73
% 1.59/1.73 % (21230)Memory used [KB]: 1023
% 1.59/1.73 % (21230)Time elapsed: 0.003 s
% 1.59/1.73 % (21230)Instructions burned: 3 (million)
% 1.59/1.73 % (21230)------------------------------
% 1.59/1.73 % (21230)------------------------------
% 1.59/1.73 % (21208)Instruction limit reached!
% 1.59/1.73 % (21208)------------------------------
% 1.59/1.73 % (21208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.73 % (21208)Termination reason: Unknown
% 1.59/1.73 % (21208)Termination phase: Saturation
% 1.59/1.73
% 1.59/1.73 % (21208)Memory used [KB]: 6140
% 1.59/1.73 % (21208)Time elapsed: 0.072 s
% 1.59/1.73 % (21208)Instructions burned: 156 (million)
% 1.59/1.73 % (21208)------------------------------
% 1.59/1.73 % (21208)------------------------------
% 1.59/1.74 % (21206)Instruction limit reached!
% 1.59/1.74 % (21206)------------------------------
% 1.59/1.74 % (21206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.74 % (21206)Termination reason: Unknown
% 1.59/1.74 % (21206)Termination phase: Saturation
% 1.59/1.74
% 1.59/1.74 % (21206)Memory used [KB]: 5756
% 1.59/1.74 % (21206)Time elapsed: 0.081 s
% 1.59/1.74 % (21206)Instructions burned: 182 (million)
% 1.59/1.74 % (21206)------------------------------
% 1.59/1.74 % (21206)------------------------------
% 1.59/1.74 % (21234)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/50Mi)
% 1.59/1.74 % (21222)Instruction limit reached!
% 1.59/1.74 % (21222)------------------------------
% 1.59/1.74 % (21222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.74 % (21222)Termination reason: Unknown
% 1.59/1.74 % (21222)Termination phase: Saturation
% 1.59/1.74
% 1.59/1.74 % (21222)Memory used [KB]: 6140
% 1.59/1.74 % (21222)Time elapsed: 0.056 s
% 1.59/1.74 % (21222)Instructions burned: 115 (million)
% 1.59/1.74 % (21222)------------------------------
% 1.59/1.74 % (21222)------------------------------
% 1.59/1.74 % (21235)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/368Mi)
% 1.59/1.74 % (21196)Instruction limit reached!
% 1.59/1.74 % (21196)------------------------------
% 1.59/1.74 % (21196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.74 % (21196)Termination reason: Unknown
% 1.59/1.74 % (21196)Termination phase: Saturation
% 1.59/1.74
% 1.59/1.74 % (21196)Memory used [KB]: 6652
% 1.59/1.74 % (21196)Time elapsed: 0.090 s
% 1.59/1.74 % (21196)Instructions burned: 299 (million)
% 1.59/1.74 % (21196)------------------------------
% 1.59/1.74 % (21196)------------------------------
% 1.59/1.75 % (21237)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/1021Mi)
% 1.59/1.75 % (21238)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/267Mi)
% 1.59/1.75 % (21241)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/204Mi)
% 1.59/1.75 % (21234)Instruction limit reached!
% 1.59/1.75 % (21234)------------------------------
% 1.59/1.75 % (21234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.75 % (21234)Termination reason: Unknown
% 1.59/1.75 % (21234)Termination phase: Saturation
% 1.59/1.75
% 1.59/1.75 % (21234)Memory used [KB]: 10618
% 1.59/1.75 % (21234)Time elapsed: 0.018 s
% 1.59/1.75 % (21234)Instructions burned: 50 (million)
% 1.59/1.75 % (21234)------------------------------
% 1.59/1.75 % (21234)------------------------------
% 1.59/1.76 % (21241)Refutation not found, incomplete strategy
% 1.59/1.76 % (21241)------------------------------
% 1.59/1.76 % (21241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.76 % (21241)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.76
% 1.59/1.76
% 1.59/1.76 % (21241)Memory used [KB]: 5500
% 1.59/1.76 % (21241)Time elapsed: 0.005 s
% 1.59/1.76 % (21241)Instructions burned: 11 (million)
% 1.59/1.76 % (21241)------------------------------
% 1.59/1.76 % (21241)------------------------------
% 1.59/1.76 % (21247)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/26Mi)
% 1.59/1.77 % (21248)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_20818 for (2995ds/53Mi)
% 1.59/1.77 % (21221)Instruction limit reached!
% 1.59/1.77 % (21221)------------------------------
% 1.59/1.77 % (21221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.77 % (21221)Termination reason: Unknown
% 1.59/1.77 % (21221)Termination phase: Saturation
% 1.59/1.77
% 1.59/1.77 % (21221)Memory used [KB]: 6268
% 1.59/1.77 % (21221)Time elapsed: 0.088 s
% 1.59/1.77 % (21221)Instructions burned: 217 (million)
% 1.59/1.77 % (21221)------------------------------
% 1.59/1.77 % (21221)------------------------------
% 1.59/1.77 % (21247)Instruction limit reached!
% 1.59/1.77 % (21247)------------------------------
% 1.59/1.77 % (21247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.77 % (21247)Termination reason: Unknown
% 1.59/1.77 % (21247)Termination phase: Saturation
% 1.59/1.77
% 1.59/1.77 % (21247)Memory used [KB]: 5628
% 1.59/1.77 % (21247)Time elapsed: 0.010 s
% 1.59/1.77 % (21247)Instructions burned: 28 (million)
% 1.59/1.77 % (21247)------------------------------
% 1.59/1.77 % (21247)------------------------------
% 1.59/1.78 % (21227)Instruction limit reached!
% 1.59/1.78 % (21227)------------------------------
% 1.59/1.78 % (21227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.78 % (21227)Termination reason: Unknown
% 1.59/1.78 % (21227)Termination phase: Saturation
% 1.59/1.78
% 1.59/1.78 % (21227)Memory used [KB]: 5884
% 1.59/1.78 % (21227)Time elapsed: 0.059 s
% 1.59/1.78 % (21227)Instructions burned: 182 (million)
% 1.59/1.78 % (21227)------------------------------
% 1.59/1.78 % (21227)------------------------------
% 1.59/1.78 % (21254)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/4436Mi)
% 1.59/1.78 % (21254)Refutation not found, incomplete strategy
% 1.59/1.78 % (21254)------------------------------
% 1.59/1.78 % (21254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.78 % (21254)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.78
% 1.59/1.78
% 1.59/1.78 % (21254)Memory used [KB]: 5500
% 1.59/1.78 % (21254)Time elapsed: 0.004 s
% 1.59/1.78 % (21254)Instructions burned: 8 (million)
% 1.59/1.78 % (21254)------------------------------
% 1.59/1.78 % (21254)------------------------------
% 1.59/1.78 % (21256)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/1539Mi)
% 1.59/1.78 % (21248)Instruction limit reached!
% 1.59/1.78 % (21248)------------------------------
% 1.59/1.78 % (21248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.78 % (21248)Termination reason: Unknown
% 1.59/1.78 % (21248)Termination phase: Saturation
% 1.59/1.78
% 1.59/1.78 % (21248)Memory used [KB]: 5756
% 1.59/1.78 % (21248)Time elapsed: 0.017 s
% 1.59/1.78 % (21248)Instructions burned: 54 (million)
% 1.59/1.78 % (21248)------------------------------
% 1.59/1.78 % (21248)------------------------------
% 1.59/1.79 % (21257)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/408Mi)
% 1.59/1.79 % (21259)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/5205Mi)
% 1.59/1.79 % (21260)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/1913Mi)
% 1.59/1.79 % (21260)Refutation not found, incomplete strategy
% 1.59/1.79 % (21260)------------------------------
% 1.59/1.79 % (21260)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.79 % (21260)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.79
% 1.59/1.79
% 1.59/1.79 % (21260)Memory used [KB]: 1023
% 1.59/1.79 % (21260)Time elapsed: 0.002 s
% 1.59/1.79 % (21260)Instructions burned: 3 (million)
% 1.59/1.79 % (21260)------------------------------
% 1.59/1.79 % (21260)------------------------------
% 1.59/1.80 % (21263)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/4350Mi)
% 1.59/1.81 % (21259)Refutation not found, incomplete strategy
% 1.59/1.81 % (21259)------------------------------
% 1.59/1.81 % (21259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.81 % (21259)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.81
% 1.59/1.81
% 1.59/1.81 % (21259)Memory used [KB]: 5628
% 1.59/1.81 % (21259)Time elapsed: 0.014 s
% 1.59/1.81 % (21259)Instructions burned: 40 (million)
% 1.59/1.81 % (21259)------------------------------
% 1.59/1.81 % (21259)------------------------------
% 1.59/1.81 % (21269)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/68Mi)
% 1.59/1.83 % (21238)Instruction limit reached!
% 1.59/1.83 % (21238)------------------------------
% 1.59/1.83 % (21238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.83 % (21238)Termination reason: Unknown
% 1.59/1.83 % (21238)Termination phase: Saturation
% 1.59/1.83
% 1.59/1.83 % (21238)Memory used [KB]: 6268
% 1.59/1.83 % (21238)Time elapsed: 0.081 s
% 1.59/1.83 % (21238)Instructions burned: 267 (million)
% 1.59/1.83 % (21238)------------------------------
% 1.59/1.83 % (21238)------------------------------
% 1.59/1.83 % (21269)Instruction limit reached!
% 1.59/1.83 % (21269)------------------------------
% 1.59/1.83 % (21269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.83 % (21269)Termination reason: Unknown
% 1.59/1.83 % (21269)Termination phase: Saturation
% 1.59/1.83
% 1.59/1.83 % (21269)Memory used [KB]: 6524
% 1.59/1.83 % (21269)Time elapsed: 0.020 s
% 1.59/1.83 % (21269)Instructions burned: 70 (million)
% 1.59/1.83 % (21269)------------------------------
% 1.59/1.83 % (21269)------------------------------
% 1.59/1.84 % (21282)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/358Mi)
% 1.59/1.84 % (21235)Instruction limit reached!
% 1.59/1.84 % (21235)------------------------------
% 1.59/1.84 % (21235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.84 % (21235)Termination reason: Unknown
% 1.59/1.84 % (21235)Termination phase: Saturation
% 1.59/1.84
% 1.59/1.84 % (21235)Memory used [KB]: 6780
% 1.59/1.84 % (21235)Time elapsed: 0.101 s
% 1.59/1.84 % (21235)Instructions burned: 370 (million)
% 1.59/1.84 % (21235)------------------------------
% 1.59/1.84 % (21235)------------------------------
% 1.59/1.84 % (21282)Refutation not found, incomplete strategy
% 1.59/1.84 % (21282)------------------------------
% 1.59/1.84 % (21282)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.84 % (21282)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.84
% 1.59/1.84
% 1.59/1.84 % (21282)Memory used [KB]: 5500
% 1.59/1.84 % (21282)Time elapsed: 0.006 s
% 1.59/1.84 % (21282)Instructions burned: 14 (million)
% 1.59/1.84 % (21282)------------------------------
% 1.59/1.84 % (21282)------------------------------
% 1.59/1.84 % (21286)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/31Mi)
% 1.59/1.85 % (21291)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/279Mi)
% 1.59/1.85 % (21291)Refutation not found, incomplete strategy
% 1.59/1.85 % (21291)------------------------------
% 1.59/1.85 % (21291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.85 % (21291)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.85
% 1.59/1.85
% 1.59/1.85 % (21291)Memory used [KB]: 5500
% 1.59/1.85 % (21291)Time elapsed: 0.002 s
% 1.59/1.85 % (21291)Instructions burned: 3 (million)
% 1.59/1.85 % (21291)------------------------------
% 1.59/1.85 % (21291)------------------------------
% 1.59/1.85 % (21286)Instruction limit reached!
% 1.59/1.85 % (21286)------------------------------
% 1.59/1.85 % (21286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.85 % (21286)Termination reason: Unknown
% 1.59/1.85 % (21286)Termination phase: Saturation
% 1.59/1.85
% 1.59/1.85 % (21286)Memory used [KB]: 6012
% 1.59/1.85 % (21286)Time elapsed: 0.010 s
% 1.59/1.85 % (21286)Instructions burned: 31 (million)
% 1.59/1.85 % (21286)------------------------------
% 1.59/1.85 % (21286)------------------------------
% 1.59/1.85 % (21294)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/258Mi)
% 1.59/1.86 % (21299)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/26Mi)
% 1.59/1.86 % (21301)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/995Mi)
% 1.59/1.86 % (21301)Refutation not found, incomplete strategy
% 1.59/1.86 % (21301)------------------------------
% 1.59/1.86 % (21301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.86 % (21301)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.86
% 1.59/1.86
% 1.59/1.86 % (21301)Memory used [KB]: 5500
% 1.59/1.86 % (21301)Time elapsed: 0.003 s
% 1.59/1.86 % (21301)Instructions burned: 6 (million)
% 1.59/1.86 % (21301)------------------------------
% 1.59/1.86 % (21301)------------------------------
% 1.59/1.87 % (21299)Instruction limit reached!
% 1.59/1.87 % (21299)------------------------------
% 1.59/1.87 % (21299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.87 % (21299)Termination reason: Unknown
% 1.59/1.87 % (21299)Termination phase: Saturation
% 1.59/1.87
% 1.59/1.87 % (21299)Memory used [KB]: 5628
% 1.59/1.87 % (21299)Time elapsed: 0.009 s
% 1.59/1.87 % (21299)Instructions burned: 26 (million)
% 1.59/1.87 % (21299)------------------------------
% 1.59/1.87 % (21299)------------------------------
% 1.59/1.87 % (21306)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/373Mi)
% 1.59/1.88 % (21307)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_20818 for (2994ds/253Mi)
% 1.59/1.88 % (21307)Refutation not found, incomplete strategy
% 1.59/1.88 % (21307)------------------------------
% 1.59/1.88 % (21307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.88 % (21307)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.88
% 1.59/1.88
% 1.59/1.88 % (21307)Memory used [KB]: 5628
% 1.59/1.88 % (21307)Time elapsed: 0.006 s
% 1.59/1.88 % (21307)Instructions burned: 14 (million)
% 1.59/1.88 % (21307)------------------------------
% 1.59/1.88 % (21307)------------------------------
% 1.59/1.89 % (21313)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/832Mi)
% 1.59/1.89 % (21313)Refutation not found, incomplete strategy
% 1.59/1.89 % (21313)------------------------------
% 1.59/1.89 % (21313)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.89 % (21313)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.89
% 1.59/1.89
% 1.59/1.89 % (21313)Memory used [KB]: 5500
% 1.59/1.89 % (21313)Time elapsed: 0.001 s
% 1.59/1.89 % (21313)Instructions burned: 1 (million)
% 1.59/1.89 % (21313)------------------------------
% 1.59/1.89 % (21313)------------------------------
% 1.59/1.90 % (21314)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/668Mi)
% 1.59/1.90 % (21257)Instruction limit reached!
% 1.59/1.90 % (21257)------------------------------
% 1.59/1.90 % (21257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.90 % (21257)Termination reason: Unknown
% 1.59/1.90 % (21257)Termination phase: Saturation
% 1.59/1.90
% 1.59/1.90 % (21257)Memory used [KB]: 6652
% 1.59/1.90 % (21257)Time elapsed: 0.118 s
% 1.59/1.90 % (21257)Instructions burned: 411 (million)
% 1.59/1.90 % (21257)------------------------------
% 1.59/1.90 % (21257)------------------------------
% 1.59/1.91 % (21314)Refutation not found, incomplete strategy
% 1.59/1.91 % (21314)------------------------------
% 1.59/1.91 % (21314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.91 % (21314)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.91
% 1.59/1.91
% 1.59/1.91 % (21314)Memory used [KB]: 9978
% 1.59/1.91 % (21314)Time elapsed: 0.004 s
% 1.59/1.91 % (21314)Instructions burned: 7 (million)
% 1.59/1.91 % (21314)------------------------------
% 1.59/1.91 % (21314)------------------------------
% 1.59/1.91 % (21315)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=40:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/40Mi)
% 1.59/1.92 % (21316)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/294Mi)
% 1.59/1.92 % (21316)Refutation not found, incomplete strategy
% 1.59/1.92 % (21316)------------------------------
% 1.59/1.92 % (21316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.92 % (21316)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.92
% 1.59/1.92
% 1.59/1.92 % (21316)Memory used [KB]: 5500
% 1.59/1.92 % (21316)Time elapsed: 0.003 s
% 1.59/1.92 % (21316)Instructions burned: 6 (million)
% 1.59/1.92 % (21316)------------------------------
% 1.59/1.92 % (21316)------------------------------
% 1.59/1.92 % (21315)Instruction limit reached!
% 1.59/1.92 % (21315)------------------------------
% 1.59/1.92 % (21315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.92 % (21315)Termination reason: Unknown
% 1.59/1.92 % (21315)Termination phase: Saturation
% 1.59/1.92
% 1.59/1.92 % (21315)Memory used [KB]: 5756
% 1.59/1.92 % (21315)Time elapsed: 0.013 s
% 1.59/1.92 % (21315)Instructions burned: 42 (million)
% 1.59/1.92 % (21315)------------------------------
% 1.59/1.92 % (21315)------------------------------
% 1.59/1.93 % (21317)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/187Mi)
% 1.59/1.93 % (21294)Instruction limit reached!
% 1.59/1.93 % (21294)------------------------------
% 1.59/1.93 % (21294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.93 % (21294)Termination reason: Unknown
% 1.59/1.93 % (21294)Termination phase: Saturation
% 1.59/1.93
% 1.59/1.93 % (21294)Memory used [KB]: 6012
% 1.59/1.93 % (21294)Time elapsed: 0.080 s
% 1.59/1.93 % (21294)Instructions burned: 260 (million)
% 1.59/1.93 % (21294)------------------------------
% 1.59/1.93 % (21294)------------------------------
% 1.59/1.93 % (21318)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/371Mi)
% 1.59/1.94 % (21318)Refutation not found, incomplete strategy
% 1.59/1.94 % (21318)------------------------------
% 1.59/1.94 % (21318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.94 % (21318)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.94
% 1.59/1.94
% 1.59/1.94 % (21318)Memory used [KB]: 5500
% 1.59/1.94 % (21318)Time elapsed: 0.003 s
% 1.59/1.94 % (21318)Instructions burned: 5 (million)
% 1.59/1.94 % (21318)------------------------------
% 1.59/1.94 % (21318)------------------------------
% 1.59/1.94 % (21319)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/1827Mi)
% 1.59/1.95 % (21320)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/70Mi)
% 1.59/1.97 % (21320)Instruction limit reached!
% 1.59/1.97 % (21320)------------------------------
% 1.59/1.97 % (21320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.97 % (21320)Termination reason: Unknown
% 1.59/1.97 % (21320)Termination phase: Saturation
% 1.59/1.97
% 1.59/1.97 % (21320)Memory used [KB]: 1663
% 1.59/1.97 % (21320)Time elapsed: 0.022 s
% 1.59/1.97 % (21320)Instructions burned: 71 (million)
% 1.59/1.97 % (21320)------------------------------
% 1.59/1.97 % (21320)------------------------------
% 1.59/1.98 % (21321)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/316Mi)
% 1.59/1.98 % (21321)Refutation not found, incomplete strategy
% 1.59/1.98 % (21321)------------------------------
% 1.59/1.98 % (21321)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.98 % (21321)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.98
% 1.59/1.98
% 1.59/1.98 % (21321)Memory used [KB]: 5500
% 1.59/1.98 % (21321)Time elapsed: 0.002 s
% 1.59/1.98 % (21321)Instructions burned: 4 (million)
% 1.59/1.98 % (21321)------------------------------
% 1.59/1.98 % (21321)------------------------------
% 1.59/1.98 % (21306)Instruction limit reached!
% 1.59/1.98 % (21306)------------------------------
% 1.59/1.98 % (21306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.98 % (21306)Termination reason: Unknown
% 1.59/1.98 % (21306)Termination phase: Saturation
% 1.59/1.98
% 1.59/1.98 % (21306)Memory used [KB]: 6396
% 1.59/1.98 % (21306)Time elapsed: 0.108 s
% 1.59/1.98 % (21306)Instructions burned: 376 (million)
% 1.59/1.98 % (21306)------------------------------
% 1.59/1.98 % (21306)------------------------------
% 1.59/1.98 % (21317)Instruction limit reached!
% 1.59/1.98 % (21317)------------------------------
% 1.59/1.98 % (21317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.98 % (21317)Termination reason: Unknown
% 1.59/1.98 % (21317)Termination phase: Saturation
% 1.59/1.98
% 1.59/1.98 % (21317)Memory used [KB]: 6652
% 1.59/1.98 % (21317)Time elapsed: 0.056 s
% 1.59/1.98 % (21317)Instructions burned: 188 (million)
% 1.59/1.98 % (21317)------------------------------
% 1.59/1.98 % (21317)------------------------------
% 1.59/1.99 % (21322)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_20818 for (2993ds/932Mi)
% 1.59/1.99 % (21323)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_20818 for (2992ds/4714Mi)
% 1.59/1.99 % (21324)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_20818 for (2992ds/8250Mi)
% 1.59/1.99 % (21323)Refutation not found, incomplete strategy
% 1.59/1.99 % (21323)------------------------------
% 1.59/1.99 % (21323)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/1.99 % (21323)Termination reason: Refutation not found, incomplete strategy
% 1.59/1.99
% 1.59/1.99
% 1.59/1.99 % (21323)Memory used [KB]: 5500
% 1.59/1.99 % (21323)Time elapsed: 0.003 s
% 1.59/1.99 % (21323)Instructions burned: 5 (million)
% 1.59/1.99 % (21323)------------------------------
% 1.59/1.99 % (21323)------------------------------
% 1.59/2.00 % (21325)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_20818 for (2992ds/770Mi)
% 1.59/2.00 % (21325)Refutation not found, incomplete strategy
% 1.59/2.00 % (21325)------------------------------
% 1.59/2.00 % (21325)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/2.00 % (21325)Termination reason: Refutation not found, incomplete strategy
% 1.59/2.00
% 1.59/2.00
% 1.59/2.00 % (21325)Memory used [KB]: 5500
% 1.59/2.00 % (21325)Time elapsed: 0.002 s
% 1.59/2.00 % (21325)Instructions burned: 1 (million)
% 1.59/2.00 % (21325)------------------------------
% 1.59/2.00 % (21325)------------------------------
% 1.59/2.00 % (21322)First to succeed.
% 1.59/2.01 % (21322)Refutation found. Thanks to Tanya!
% 1.59/2.01 % SZS status Theorem for DTF2THF_20818
% 1.59/2.01 % SZS output start Proof for DTF2THF_20818
% 1.59/2.01 thf(func_def_0, type, eps: ($i > $o) > $i).
% 1.59/2.01 thf(func_def_2, type, epsb: (($i > $i > $o) > $i) > ($i > $i > $o) > $i).
% 1.59/2.01 thf(func_def_15, type, ph1: !>[X0: $tType]:(X0)).
% 1.59/2.01 thf(func_def_16, type, sK2: (($i > $i > $o) > $i) > $i > $i > $o).
% 1.59/2.01 thf(func_def_17, type, sK3: (($i > $i > $o) > $i) > $i).
% 1.59/2.01 thf(func_def_18, type, sK4: (($i > $i > $o) > $i) > $i).
% 1.59/2.01 thf(func_def_19, type, sK5: (($i > $i > $o) > $i) > $i).
% 1.59/2.01 thf(f115,plain,(
% 1.59/2.01 $false),
% 1.59/2.01 inference(equality_resolution,[status(thm)],[f109])).
% 1.59/2.01 thf(f109,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (X0 @ (sK2 @ (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ (X0 @ Y0 @ Y1 @ Y2) @ Y2)))))))))) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f107])).
% 1.59/2.01 thf(f107,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (X0 @ (sK2 @ (^[Y2 : $i > $i > $o]: (eps @ (^[Y3 : $i]: (?? @ $i @ ((^[Y4 : $i > $i > $o]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y4 @ (X0 @ Y4 @ Y5 @ Y6) @ ((^[Y7 : $i > $i > $o]: ((^[Y8 : $i]: ((^[Y9 : $i]: (Y9)))))) @ Y4 @ Y5 @ Y6))))))) @ Y2 @ Y3)))))) @ Y0 @ Y1)))))) )),
% 1.59/2.01 inference(equality_resolution,[status(thm)],[f103])).
% 1.59/2.01 thf(f103,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $o] : (((X0 @ (sK2 @ (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (X0 @ Y0 @ Y1))))))) != (sK2 @ (^[Y0 : $i > $i > $o]: (eps @ (^[Y1 : $i]: (?? @ $i @ (X0 @ Y0 @ Y1)))))))) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f102])).
% 1.59/2.01 thf(f102,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $o] : (((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1)))) @ Y0)) != (^[Y0 : $i]: (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0)))) )),
% 1.59/2.01 inference(trivial_inequality_removal,[status(thm)],[f101])).
% 1.59/2.01 thf(f101,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $o] : (($false = $true) | ((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1)))) @ Y0)) != (^[Y0 : $i]: (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0)))) )),
% 1.59/2.01 inference(duplicate_literal_removal,[status(thm)],[f94])).
% 1.59/2.01 thf(f94,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i > $i > $o] : (((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1)))) @ Y0)) != (^[Y0 : $i]: (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0))) | ($false = $true) | ((^[Y0 : $i]: (X0 @ (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1)))) @ Y0)) != (^[Y0 : $i]: (sK2 @ (^[Y1 : $i > $i > $o]: (eps @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i]: (?? @ $i @ (X0 @ Y2 @ Y3))))) @ Y1))) @ Y0)))) )),
% 1.59/2.01 inference(constrained_superposition,[status(thm)],[f40,f70])).
% 1.59/2.01 thf(f70,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i] : (($true = (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0)))) @ (eps @ (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0))))))))) )),
% 1.59/2.01 inference(boolean_simplification,[status(thm)],[f68])).
% 1.59/2.01 thf(f68,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i] : (($true = ($true => (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0)))) @ (eps @ (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0)))))))))) )),
% 1.59/2.01 inference(superposition,[status(thm)],[f22,f55])).
% 1.59/2.01 thf(f55,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i] : (((?? @ $i @ (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0)))))) = $true)) )),
% 1.59/2.01 inference(boolean_simplification,[status(thm)],[f54])).
% 1.59/2.01 thf(f54,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i] : (($true = ($true => (?? @ $i @ (sK2 @ X0 @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0))))))))) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f51])).
% 1.59/2.01 thf(f51,plain,(
% 1.59/2.01 ( ! [X0 : ($i > $i > $o) > $i] : (($true = ($true => ((^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0))) @ (eps @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X0 @ Y0)))))))) )),
% 1.59/2.01 inference(superposition,[status(thm)],[f22,f41])).
% 1.59/2.01 thf(f41,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X1 @ Y0)))) = $true)) )),
% 1.59/2.01 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 1.59/2.01 thf(f39,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: (?? @ $i @ (sK2 @ X1 @ Y0)))) => (sK2 @ X1 @ (X1 @ (sK2 @ X1)) @ (eps @ (sK2 @ X1 @ (X1 @ (sK2 @ X1)))))))) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f35])).
% 1.59/2.01 thf(f35,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (($false = ((^[Y0 : $i > $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (Y0 @ (X1 @ Y0) @ (eps @ (Y0 @ (X1 @ Y0)))))) @ (sK2 @ X1)))) )),
% 1.59/2.01 inference(sigma_clausification,[status(thm)],[f24])).
% 1.59/2.01 thf(f24,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (((!! @ ($i > $i > $o) @ (^[Y0 : $i > $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (?? @ $i @ (Y0 @ Y1)))) => (Y0 @ (X1 @ Y0) @ (eps @ (Y0 @ (X1 @ Y0))))))) = $false)) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f23])).
% 1.59/2.01 thf(f23,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (($false = ((^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (eps @ (Y1 @ (Y0 @ Y1)))))))) @ X1))) )),
% 1.59/2.01 inference(pi_clausification,[status(thm)],[f18])).
% 1.59/2.01 thf(f18,plain,(
% 1.59/2.01 ((?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (eps @ (Y1 @ (Y0 @ Y1))))))))) = $false)),
% 1.59/2.01 inference(not_proxy_clausification,[status(thm)],[f16])).
% 1.59/2.01 thf(f16,plain,(
% 1.59/2.01 ($true = (~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (Y1 @ Y2)))) => (Y1 @ (Y0 @ Y1) @ (eps @ (Y1 @ (Y0 @ Y1)))))))))))),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f15])).
% 1.59/2.01 thf(f15,plain,(
% 1.59/2.01 ($true = (~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3))))) => (Y1 @ (Y0 @ Y1) @ ((^[Y2 : ($i > $i > $o) > $i]: ((^[Y3 : $i > $i > $o]: (eps @ (^[Y4 : $i]: (Y3 @ (Y2 @ Y3) @ Y4)))))) @ Y0 @ Y1)))))))))),
% 1.59/2.01 inference(definition_unfolding,[status(thm)],[f14,f12])).
% 1.59/2.01 thf(f12,plain,(
% 1.59/2.01 (epsb = (^[Y0 : ($i > $i > $o) > $i]: ((^[Y1 : $i > $i > $o]: (eps @ (^[Y2 : $i]: (Y1 @ (Y0 @ Y1) @ Y2)))))))),
% 1.59/2.01 inference(cnf_transformation,[status(thm)],[f9])).
% 1.59/2.01 thf(f9,plain,(
% 1.59/2.01 (epsb = (^[Y0 : ($i > $i > $o) > $i]: ((^[Y1 : $i > $i > $o]: (eps @ (^[Y2 : $i]: (Y1 @ (Y0 @ Y1) @ Y2)))))))),
% 1.59/2.01 inference(fool_elimination,[status(thm)],[f8])).
% 1.59/2.01 thf(f8,plain,(
% 1.59/2.01 (epsb = (^[X0 : ($i > $i > $o) > $i, X1 : $i > $i > $o] : (eps @ (^[X2 : $i] : (X1 @ (X0 @ X1) @ X2)))))),
% 1.59/2.01 inference(rectify,[status(thm)],[f2])).
% 1.59/2.01 thf(f2,axiom,(
% 1.59/2.01 (epsb = (^[X2 : ($i > $i > $o) > $i, X3 : $i > $i > $o] : (eps @ (^[X4 : $i] : (X3 @ (X2 @ X3) @ X4)))))),
% 1.59/2.01 file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',epsbd)).
% 1.59/2.01 thf(f14,plain,(
% 1.59/2.01 ((~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3))))) => (Y1 @ (Y0 @ Y1) @ (epsb @ Y0 @ Y1)))))))) = $true)),
% 1.59/2.01 inference(cnf_transformation,[status(thm)],[f11])).
% 1.59/2.01 thf(f11,plain,(
% 1.59/2.01 ((~ (?? @ (($i > $i > $o) > $i) @ (^[Y0 : ($i > $i > $o) > $i]: (!! @ ($i > $i > $o) @ (^[Y1 : $i > $i > $o]: ((?? @ $i @ (^[Y2 : $i]: (?? @ $i @ (^[Y3 : $i]: (Y1 @ Y2 @ Y3))))) => (Y1 @ (Y0 @ Y1) @ (epsb @ Y0 @ Y1)))))))) = $true)),
% 1.59/2.01 inference(fool_elimination,[status(thm)],[f10])).
% 1.59/2.01 thf(f10,plain,(
% 1.59/2.01 ~? [X0 : ($i > $i > $o) > $i] : ! [X1 : $i > $i > $o] : (? [X2 : $i,X3 : $i] : (X1 @ X3 @ X2) => (X1 @ (X0 @ X1) @ (epsb @ X0 @ X1)))),
% 1.59/2.01 inference(rectify,[status(thm)],[f4])).
% 1.59/2.01 thf(f4,negated_conjecture,(
% 1.59/2.01 ~? [X2 : ($i > $i > $o) > $i] : ! [X3 : $i > $i > $o] : (? [X4 : $i,X1 : $i] : (X3 @ X1 @ X4) => (X3 @ (X2 @ X3) @ (epsb @ X2 @ X3)))),
% 1.59/2.01 inference(negated_conjecture,[status(cth)],[f3])).
% 1.59/2.01 thf(f3,conjecture,(
% 1.59/2.01 ? [X2 : ($i > $i > $o) > $i] : ! [X3 : $i > $i > $o] : (? [X4 : $i,X1 : $i] : (X3 @ X1 @ X4) => (X3 @ (X2 @ X3) @ (epsb @ X2 @ X3)))),
% 1.59/2.01 file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',conj)).
% 1.59/2.01 thf(f22,plain,(
% 1.59/2.01 ( ! [X1 : $i > $o] : (($true = ((?? @ $i @ X1) => (X1 @ (eps @ X1))))) )),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f21])).
% 1.59/2.01 thf(f21,plain,(
% 1.59/2.01 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (Y0 @ (eps @ Y0)))) @ X1) = $true)) )),
% 1.59/2.01 inference(pi_clausification,[status(thm)],[f17])).
% 1.59/2.01 thf(f17,plain,(
% 1.59/2.01 ((!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ Y0) => (Y0 @ (eps @ Y0))))) = $true)),
% 1.59/2.01 inference(beta_eta_normalization,[status(thm)],[f13])).
% 1.59/2.01 thf(f13,plain,(
% 1.59/2.01 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))) => (Y0 @ (eps @ Y0))))))),
% 1.59/2.01 inference(cnf_transformation,[status(thm)],[f7])).
% 1.59/2.01 thf(f7,plain,(
% 1.59/2.01 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((?? @ $i @ (^[Y1 : $i]: (Y0 @ Y1))) => (Y0 @ (eps @ Y0))))))),
% 1.59/2.01 inference(fool_elimination,[status(thm)],[f6])).
% 1.59/2.01 thf(f6,plain,(
% 1.59/2.01 ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 1.59/2.01 inference(rectify,[status(thm)],[f1])).
% 1.59/2.01 thf(f1,axiom,(
% 1.59/2.01 ! [X0 : $i > $o] : (? [X1 : $i] : (X0 @ X1) => (X0 @ (eps @ X0)))),
% 1.59/2.01 file('/export/starexec/sandbox2/tmp/tmp.Q7cmEuD4KI/DTF2THF_20818.p',choiceax)).
% 1.59/2.01 thf(f40,plain,(
% 1.59/2.01 ( ! [X1 : ($i > $i > $o) > $i] : (((sK2 @ X1 @ (X1 @ (sK2 @ X1)) @ (eps @ (sK2 @ X1 @ (X1 @ (sK2 @ X1))))) = $false)) )),
% 1.59/2.01 inference(binary_proxy_clausification,[status(thm)],[f39])).
% 1.59/2.01 % SZS output end Proof for DTF2THF_20818
% 1.59/2.01 % (21322)------------------------------
% 1.59/2.01 % (21322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.59/2.01 % (21322)Termination reason: Refutation
% 1.59/2.01
% 1.59/2.01 % (21322)Memory used [KB]: 5884
% 1.59/2.01 % (21322)Time elapsed: 0.017 s
% 1.59/2.01 % (21322)Instructions burned: 49 (million)
% 1.59/2.01 % (21322)------------------------------
% 1.59/2.01 % (21322)------------------------------
% 1.59/2.01 % (20969)Success in time 0.741 s
%------------------------------------------------------------------------------