%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEU974^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 09:37:52 AM UTC 2026
% Result : Theorem 1.38s 1.20s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 31 unt; 0 typ; 0 def)
% Number of atoms : 363 ( 173 equ; 0 cnn)
% Maximal formula atoms : 13 ( 10 avg)
% Number of connectives : 1464 ( 13 ~; 0 |; 153 &;1055 @)
% ( 6 <=>; 113 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 8 usr; 7 con; 0-2 aty)
% ( 104 !!; 20 ??; 0 @@+; 0 @@-)
% Number of variables : 192 ( 130 ^; 56 !; 6 ?; 192 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
cR: a > a ).
thf(func_def_2,type,
cP: a > a > a ).
thf(func_def_3,type,
cL: a > a ).
thf(func_def_4,type,
cZ: a ).
thf(func_def_20,type,
ph1:
!>[X0: $tType] : X0 ).
thf(func_def_21,type,
sK2: a ).
thf(func_def_22,type,
sK3: a ).
thf(func_def_23,type,
sK4: a > $o ).
thf(f155,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f154]) ).
thf(f154,plain,
$true = $false,
inference(boolean_simplification,[status(thm)],[f153]) ).
thf(f153,plain,
( $true = ( ~ $true ) ),
inference(forward_demodulation,[status(thm)],[f142,f29]) ).
thf(f29,plain,
( $true
= ( sK4 @ ( cP @ sK3 @ sK2 ) ) ),
inference(boolean_simplification,[status(thm)],[f28]) ).
thf(f28,plain,
( $true
= ( $true
& ( sK4 @ ( cP @ sK3 @ sK2 ) ) ) ),
inference(backward_demodulation,[status(thm)],[f25,f27]) ).
thf(f27,plain,
( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ ( cP @ Y0 @ Y1 ) )
=> ( ( ( cZ = Y1 )
=> ( cZ = Y0 ) )
& ( sK4 @ ( cP @ ( cL @ Y0 ) @ ( cL @ Y1 ) ) )
& ( sK4 @ ( cP @ ( cR @ Y0 ) @ ( cR @ Y1 ) ) ) ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f25]) ).
thf(f25,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ ( cP @ Y0 @ Y1 ) )
=> ( ( ( cZ = Y1 )
=> ( cZ = Y0 ) )
& ( sK4 @ ( cP @ ( cL @ Y0 ) @ ( cL @ Y1 ) ) )
& ( sK4 @ ( cP @ ( cR @ Y0 ) @ ( cR @ Y1 ) ) ) ) ) ) )
& ( sK4 @ ( cP @ sK3 @ sK2 ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f24]) ).
thf(f24,plain,
( $true
= ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ sK3 @ sK2 ) ) )
@ sK4 ) ),
inference(sigma_clausification,[status(thm)],[f19]) ).
thf(f19,plain,
( $true
= ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ sK3 @ sK2 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f17,plain,
( ( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ sK3 @ sK2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f16]) ).
thf(f16,plain,
( ( ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( cP @ Y2 @ Y3 ) )
=> ( ( ( cZ = Y3 )
=> ( cZ = Y2 ) )
& ( Y1 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y3 ) ) )
& ( Y1 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y3 ) ) ) ) ) ) )
& ( Y1 @ ( cP @ Y0 @ sK2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( cP @ Y2 @ Y3 ) )
=> ( ( ( cZ = Y3 )
=> ( cZ = Y2 ) )
& ( Y1 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y3 ) ) )
& ( Y1 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y3 ) ) ) ) ) ) )
& ( Y1 @ ( cP @ ( cR @ Y0 ) @ ( cR @ sK2 ) ) ) ) ) )
@ sK3 )
= $false ),
inference(sigma_clausification,[status(thm)],[f15]) ).
thf(f15,plain,
( ( !! @ a
@ ^ [Y0: a] :
( ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( cP @ Y2 @ Y3 ) )
=> ( ( ( cZ = Y3 )
=> ( cZ = Y2 ) )
& ( Y1 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y3 ) ) )
& ( Y1 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y3 ) ) ) ) ) ) )
& ( Y1 @ ( cP @ Y0 @ sK2 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y1: a > $o] :
( ( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( Y1 @ ( cP @ Y2 @ Y3 ) )
=> ( ( ( cZ = Y3 )
=> ( cZ = Y2 ) )
& ( Y1 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y3 ) ) )
& ( Y1 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y3 ) ) ) ) ) ) )
& ( Y1 @ ( cP @ ( cR @ Y0 ) @ ( cR @ sK2 ) ) ) ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f14]) ).
thf(f14,plain,
( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) )
@ sK2 )
= $false ),
inference(sigma_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f12]) ).
thf(f12,plain,
( ( $true
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) ) ) )
= $false ),
inference(backward_demodulation,[status(thm)],[f7,f11]) ).
thf(f11,plain,
( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y1 @ Y0 ) )
= Y1 ) ) )
& ( cZ
= ( cL @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y1 ) ) )
& ( ( cZ = Y1 )
= ( cZ = Y2 ) )
& ( Y0 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y1 ) ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( cZ
= ( cR @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) )
= Y0 )
= ( cZ != Y0 ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y1 @ Y0 ) )
= Y1 ) ) )
& ( cZ
= ( cL @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y1 ) ) )
& ( ( cZ = Y1 )
= ( cZ = Y2 ) )
& ( Y0 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y1 ) ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( cZ
= ( cR @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) )
= Y0 )
= ( cZ != Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f6]) ).
thf(f6,plain,
( $true
= ( ~ ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y1 @ Y0 ) )
= Y1 ) ) )
& ( cZ
= ( cL @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y1 ) ) )
& ( ( cZ = Y1 )
= ( cZ = Y2 ) )
& ( Y0 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y1 ) ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( cZ
= ( cR @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) )
= Y0 )
= ( cZ != Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( $true
= ( ~ ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cL @ ( cP @ Y1 @ Y0 ) )
= Y1 ) ) )
& ( cZ
= ( cL @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( cR @ ( cP @ Y1 @ Y0 ) )
= Y0 ) ) )
& ( !! @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( ( Y0 @ ( cP @ ( cL @ Y2 ) @ ( cL @ Y1 ) ) )
& ( ( cZ = Y1 )
= ( cZ = Y2 ) )
& ( Y0 @ ( cP @ ( cR @ Y2 ) @ ( cR @ Y1 ) ) ) ) ) ) )
=> ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y2 @ Y1 ) )
=> ( Y2 = Y1 ) ) ) ) ) )
& ( cZ
= ( cR @ cZ ) )
& ( !! @ a
@ ^ [Y0: a] :
( ( ( cP @ ( cL @ Y0 ) @ ( cR @ Y0 ) )
= Y0 )
= ( cZ != Y0 ) ) ) )
=> ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ Y1 @ Y0 ) ) ) )
=> ( ?? @ ( a > $o )
@ ^ [Y2: a > $o] :
( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( Y2 @ ( cP @ Y3 @ Y4 ) )
=> ( ( ( cZ = Y4 )
=> ( cZ = Y3 ) )
& ( Y2 @ ( cP @ ( cL @ Y3 ) @ ( cL @ Y4 ) ) )
& ( Y2 @ ( cP @ ( cR @ Y3 ) @ ( cR @ Y4 ) ) ) ) ) ) )
& ( Y2 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y0 ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ( ! [X0: a] :
( ( ( cP @ ( cL @ X0 ) @ ( cR @ X0 ) )
= X0 )
<=> ( cZ != X0 ) )
& ( cZ
= ( cR @ cZ ) )
& ! [X1: a > $o] :
( ! [X2: a,X3: a] :
( ( X1 @ ( cP @ X2 @ X3 ) )
=> ( ( X1 @ ( cP @ ( cR @ X2 ) @ ( cR @ X3 ) ) )
& ( ( cZ = X3 )
<=> ( cZ = X2 ) )
& ( X1 @ ( cP @ ( cL @ X2 ) @ ( cL @ X3 ) ) ) ) )
=> ! [X4: a,X5: a] :
( ( X1 @ ( cP @ X4 @ X5 ) )
=> ( X4 = X5 ) ) )
& ! [X6: a,X7: a] :
( ( cR @ ( cP @ X6 @ X7 ) )
= X7 )
& ( cZ
= ( cL @ cZ ) )
& ! [X8: a,X9: a] :
( ( cL @ ( cP @ X8 @ X9 ) )
= X8 ) )
=> ! [X10: a,X11: a] :
( ? [X12: a > $o] :
( ( X12 @ ( cP @ X10 @ X11 ) )
& ! [X13: a,X14: a] :
( ( X12 @ ( cP @ X14 @ X13 ) )
=> ( ( X12 @ ( cP @ ( cR @ X14 ) @ ( cR @ X13 ) ) )
& ( X12 @ ( cP @ ( cL @ X14 ) @ ( cL @ X13 ) ) )
& ( ( cZ = X13 )
=> ( cZ = X14 ) ) ) ) )
=> ? [X15: a > $o] :
( ( X15 @ ( cP @ ( cR @ X10 ) @ ( cR @ X11 ) ) )
& ! [X16: a,X17: a] :
( ( X15 @ ( cP @ X17 @ X16 ) )
=> ( ( X15 @ ( cP @ ( cR @ X17 ) @ ( cR @ X16 ) ) )
& ( X15 @ ( cP @ ( cL @ X17 ) @ ( cL @ X16 ) ) )
& ( ( cZ = X16 )
=> ( cZ = X17 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ( ! [X2: a] :
( ( ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) )
= X2 )
<=> ( cZ != X2 ) )
& ( cZ
= ( cR @ cZ ) )
& ! [X3: a > $o] :
( ! [X2: a,X4: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( ( cZ = X4 )
<=> ( cZ = X2 ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
=> ! [X2: a,X4: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( X2 = X4 ) ) )
& ! [X0: a,X1: a] :
( ( cR @ ( cP @ X0 @ X1 ) )
= X1 )
& ( cZ
= ( cL @ cZ ) )
& ! [X0: a,X1: a] :
( ( cL @ ( cP @ X0 @ X1 ) )
= X0 ) )
=> ! [X0: a,X1: a] :
( ? [X3: a > $o] :
( ( X3 @ ( cP @ X0 @ X1 ) )
& ! [X4: a,X2: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
& ( ( cZ = X4 )
=> ( cZ = X2 ) ) ) ) )
=> ? [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) )
& ! [X4: a,X2: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
& ( ( cZ = X4 )
=> ( cZ = X2 ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( ! [X2: a] :
( ( ( cP @ ( cL @ X2 ) @ ( cR @ X2 ) )
= X2 )
<=> ( cZ != X2 ) )
& ( cZ
= ( cR @ cZ ) )
& ! [X3: a > $o] :
( ! [X2: a,X4: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( ( cZ = X4 )
<=> ( cZ = X2 ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) ) ) )
=> ! [X2: a,X4: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( X2 = X4 ) ) )
& ! [X0: a,X1: a] :
( ( cR @ ( cP @ X0 @ X1 ) )
= X1 )
& ( cZ
= ( cL @ cZ ) )
& ! [X0: a,X1: a] :
( ( cL @ ( cP @ X0 @ X1 ) )
= X0 ) )
=> ! [X0: a,X1: a] :
( ? [X3: a > $o] :
( ( X3 @ ( cP @ X0 @ X1 ) )
& ! [X4: a,X2: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
& ( ( cZ = X4 )
=> ( cZ = X2 ) ) ) ) )
=> ? [X3: a > $o] :
( ( X3 @ ( cP @ ( cR @ X0 ) @ ( cR @ X1 ) ) )
& ! [X4: a,X2: a] :
( ( X3 @ ( cP @ X2 @ X4 ) )
=> ( ( X3 @ ( cP @ ( cR @ X2 ) @ ( cR @ X4 ) ) )
& ( X3 @ ( cP @ ( cL @ X2 ) @ ( cL @ X4 ) ) )
& ( ( cZ = X4 )
=> ( cZ = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Gh8llE89y2/DTF2THF_31318.p',cPU_LEM2C_pme) ).
thf(f142,plain,
( $true
= ( ~ ( sK4 @ ( cP @ sK3 @ sK2 ) ) ) ),
inference(boolean_simplification,[status(thm)],[f141]) ).
thf(f141,plain,
( $true
= ( ( sK4 @ ( cP @ sK3 @ sK2 ) )
=> $false ) ),
inference(boolean_simplification,[status(thm)],[f120]) ).
thf(f120,plain,
( ( ( sK4 @ ( cP @ sK3 @ sK2 ) )
=> ( ( ( cZ = sK2 )
=> ( cZ = sK3 ) )
& ( sK4 @ ( cP @ ( cL @ sK3 ) @ ( cL @ sK2 ) ) )
& $false ) )
= $true ),
inference(superposition,[status(thm)],[f111,f36]) ).
thf(f36,plain,
( ( sK4 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) )
= $false ),
inference(boolean_simplification,[status(thm)],[f35]) ).
thf(f35,plain,
( ( $true
& ( sK4 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) ) )
= $false ),
inference(superposition,[status(thm)],[f31,f27]) ).
thf(f31,plain,
! [X1: a > $o] :
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X1 @ ( cP @ Y0 @ Y1 ) )
=> ( ( ( cZ = Y1 )
=> ( cZ = Y0 ) )
& ( X1 @ ( cP @ ( cL @ Y0 ) @ ( cL @ Y1 ) ) )
& ( X1 @ ( cP @ ( cR @ Y0 ) @ ( cR @ Y1 ) ) ) ) ) ) )
& ( X1 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) ) )
= $false ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X1: a > $o] :
( ( ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) ) )
@ X1 )
= $false ),
inference(pi_clausification,[status(thm)],[f18]) ).
thf(f18,plain,
( ( ?? @ ( a > $o )
@ ^ [Y0: a > $o] :
( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( Y0 @ ( cP @ Y1 @ Y2 ) )
=> ( ( ( cZ = Y2 )
=> ( cZ = Y1 ) )
& ( Y0 @ ( cP @ ( cL @ Y1 ) @ ( cL @ Y2 ) ) )
& ( Y0 @ ( cP @ ( cR @ Y1 ) @ ( cR @ Y2 ) ) ) ) ) ) )
& ( Y0 @ ( cP @ ( cR @ sK3 ) @ ( cR @ sK2 ) ) ) ) )
= $false ),
inference(binary_proxy_clausification,[status(thm)],[f17]) ).
thf(f111,plain,
! [X2: a,X1: a] :
( $true
= ( ( sK4 @ ( cP @ X1 @ X2 ) )
=> ( ( ( cZ = X2 )
=> ( cZ = X1 ) )
& ( sK4 @ ( cP @ ( cL @ X1 ) @ ( cL @ X2 ) ) )
& ( sK4 @ ( cP @ ( cR @ X1 ) @ ( cR @ X2 ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f110]) ).
thf(f110,plain,
! [X2: a,X1: a] :
( $true
= ( ^ [Y0: a] :
( ( sK4 @ ( cP @ X1 @ Y0 ) )
=> ( ( ( cZ = Y0 )
=> ( cZ = X1 ) )
& ( sK4 @ ( cP @ ( cL @ X1 ) @ ( cL @ Y0 ) ) )
& ( sK4 @ ( cP @ ( cR @ X1 ) @ ( cR @ Y0 ) ) ) ) )
@ X2 ) ),
inference(pi_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X1: a] :
( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK4 @ ( cP @ X1 @ Y0 ) )
=> ( ( ( cZ = Y0 )
=> ( cZ = X1 ) )
& ( sK4 @ ( cP @ ( cL @ X1 ) @ ( cL @ Y0 ) ) )
& ( sK4 @ ( cP @ ( cR @ X1 ) @ ( cR @ Y0 ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X1: a] :
( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK4 @ ( cP @ Y0 @ Y1 ) )
=> ( ( ( cZ = Y1 )
=> ( cZ = Y0 ) )
& ( sK4 @ ( cP @ ( cL @ Y0 ) @ ( cL @ Y1 ) ) )
& ( sK4 @ ( cP @ ( cR @ Y0 ) @ ( cR @ Y1 ) ) ) ) ) )
@ X1 ) ),
inference(pi_clausification,[status(thm)],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU974^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Feb 24 12:37:54 EST 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.41 ---- Original DTF file ---
% 0.15/0.41 thf(spec,logic,$$dhol).
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 % File : SEU974^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.41 % Domain : Set Theory (Relations)
% 0.15/0.41 % Problem : TPS problem from COINDUCTIVE-PU-ALG-THMS
% 0.15/0.41 % Version : Especial.
% 0.15/0.41 % English :
% 0.15/0.41
% 0.15/0.41 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.41 % Source : [Bro09]
% 0.15/0.41 % Names : tps_1183 [Bro09]
% 0.15/0.41
% 0.15/0.41 % Status : Theorem
% 0.15/0.41 % Rating : 0.00 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.3.0, 0.60 v4.1.0, 0.67 v4.0.1, 1.00 v4.0.0
% 0.15/0.41 % Syntax : Number of formulae : 6 ( 0 unt; 5 typ; 0 def)
% 0.15/0.41 % Number of atoms : 13 ( 13 equ; 0 cnn)
% 0.15/0.41 % Maximal formula atoms : 13 ( 13 avg)
% 0.15/0.41 % Number of connectives : 87 ( 1 ~; 0 |; 13 &; 62 @)
% 0.15/0.41 % ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% 0.15/0.41 % Maximal formula depth : 18 ( 18 avg)
% 0.15/0.41 % Number of types : 2 ( 1 usr)
% 0.15/0.41 % Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% 0.15/0.41 % Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% 0.15/0.41 % Number of variables : 18 ( 0 ^; 16 !; 2 ?; 18 :)
% 0.15/0.41 % SPC : TH0_THM_EQU_NAR
% 0.15/0.41
% 0.15/0.41 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.41 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.41 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.41 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 thf(a_type,type,
% 0.15/0.41 a: $tType ).
% 0.15/0.41
% 0.15/0.41 thf(cR,type,
% 0.15/0.41 cR: a > a ).
% 0.15/0.41
% 0.15/0.41 thf(cP,type,
% 0.15/0.41 cP: a > a > a ).
% 0.15/0.41
% 0.15/0.41 thf(cL,type,
% 0.15/0.41 cL: a > a ).
% 0.15/0.41
% 0.15/0.41 thf(cZ,type,
% 0.15/0.41 cZ: a ).
% 0.15/0.41
% 0.15/0.41 thf(cPU_LEM2C_pme,conjecture,
% 0.15/0.41 ( ( ( ( cL @ cZ )
% 0.15/0.41 = cZ )
% 0.15/0.41 & ( ( cR @ cZ )
% 0.15/0.41 = cZ )
% 0.15/0.41 & ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( cL @ ( cP @ Xx @ Xy ) )
% 0.15/0.41 = Xx )
% 0.15/0.41 & ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ( cR @ ( cP @ Xx @ Xy ) )
% 0.15/0.41 = Xy )
% 0.15/0.41 & ! [Xt: a] :
% 0.15/0.41 ( ( Xt != cZ )
% 0.15/0.41 <=> ( Xt
% 0.15/0.41 = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
% 0.15/0.41 & ! [X: a > $o] :
% 0.15/0.41 ( ! [Xt: a,Xu: a] :
% 0.15/0.41 ( ( X @ ( cP @ Xt @ Xu ) )
% 0.15/0.41 => ( ( ( Xt = cZ )
% 0.15/0.41 <=> ( Xu = cZ ) )
% 0.15/0.41 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 0.15/0.41 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) )
% 0.15/0.41 => ! [Xt: a,Xu: a] :
% 0.15/0.41 ( ( X @ ( cP @ Xt @ Xu ) )
% 0.15/0.41 => ( Xt = Xu ) ) ) )
% 0.15/0.41 => ! [Xx: a,Xy: a] :
% 0.15/0.41 ( ? [X: a > $o] :
% 0.15/0.41 ( ( X @ ( cP @ Xx @ Xy ) )
% 0.15/0.41 & ! [Xt: a,Xu: a] :
% 0.15/0.41 ( ( X @ ( cP @ Xt @ Xu ) )
% 0.15/0.41 => ( ( ( Xu = cZ )
% 0.15/0.41 => ( Xt = cZ ) )
% 0.15/0.41 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 0.15/0.41 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) ) )
% 0.15/0.41 => ? [X: a > $o] :
% 0.15/0.41 ( ( X @ ( cP @ ( cR @ Xx ) @ ( cR @ Xy ) ) )
% 0.15/0.41 & ! [Xt: a,Xu: a] :
% 0.15/0.41 ( ( X @ ( cP @ Xt @ Xu ) )
% 0.15/0.41 => ( ( ( Xu = cZ )
% 0.15/0.41 => ( Xt = cZ ) )
% 0.15/0.41 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 0.15/0.41 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) ) ) ) ) ).
% 0.15/0.41
% 0.15/0.41 %------------------------------------------------------------------------------
% 0.15/0.41 ------------------------
% 1.34/1.14 ---- Embedded in THF ---
% 1.34/1.14 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.34/1.14 %%% Generated on Tue Feb 24 12:37:55 EST 2026
% 1.34/1.14 %%% using '$$dhol' embedding, version 1.3.0.
% 1.34/1.14 %%% Logic specification used:
% 1.34/1.14 %%% thf(spec, logic, $$dhol).
% 1.34/1.14
% 1.34/1.14 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Gh8llE89y2/DTF2DTF31318.p
% See solution above
% 1.34/1.14 ------------------------
% 1.34/1.14 ---- Cleaned THF ---
% 1.34/1.14 thf(a_type,type,
% 1.34/1.14 a: $tType ).
% 1.34/1.14
% 1.34/1.14 thf(cR,type,
% 1.34/1.14 cR: a > a ).
% 1.34/1.14
% 1.34/1.14 thf(cP,type,
% 1.34/1.14 cP: a > a > a ).
% 1.34/1.14
% 1.34/1.14 thf(cL,type,
% 1.34/1.14 cL: a > a ).
% 1.34/1.14
% 1.34/1.14 thf(cZ,type,
% 1.34/1.14 cZ: a ).
% 1.34/1.14
% 1.34/1.14 thf(cPU_LEM2C_pme,conjecture,
% 1.34/1.14 ( ( ( ( cL @ cZ )
% 1.34/1.14 = cZ )
% 1.34/1.14 & ( ( cR @ cZ )
% 1.34/1.14 = cZ )
% 1.34/1.14 & ! [Xx: a,Xy: a] :
% 1.34/1.14 ( ( cL @ ( cP @ Xx @ Xy ) )
% 1.34/1.14 = Xx )
% 1.34/1.14 & ! [Xx: a,Xy: a] :
% 1.34/1.14 ( ( cR @ ( cP @ Xx @ Xy ) )
% 1.34/1.14 = Xy )
% 1.34/1.14 & ! [Xt: a] :
% 1.34/1.14 ( ( Xt != cZ )
% 1.34/1.14 <=> ( Xt
% 1.34/1.14 = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
% 1.34/1.14 & ! [X: a > $o] :
% 1.34/1.14 ( ! [Xt: a,Xu: a] :
% 1.34/1.14 ( ( X @ ( cP @ Xt @ Xu ) )
% 1.34/1.14 => ( ( ( Xt = cZ )
% 1.34/1.14 <=> ( Xu = cZ ) )
% 1.34/1.14 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 1.34/1.14 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) )
% 1.34/1.14 => ! [Xt: a,Xu: a] :
% 1.34/1.14 ( ( X @ ( cP @ Xt @ Xu ) )
% 1.34/1.14 => ( Xt = Xu ) ) ) )
% 1.34/1.14 => ! [Xx: a,Xy: a] :
% 1.34/1.14 ( ? [X: a > $o] :
% 1.34/1.14 ( ( X @ ( cP @ Xx @ Xy ) )
% 1.34/1.14 & ! [Xt: a,Xu: a] :
% 1.34/1.14 ( ( X @ ( cP @ Xt @ Xu ) )
% 1.34/1.14 => ( ( ( Xu = cZ )
% 1.34/1.14 => ( Xt = cZ ) )
% 1.34/1.14 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 1.34/1.14 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) ) )
% 1.34/1.14 => ? [X: a > $o] :
% 1.34/1.14 ( ( X @ ( cP @ ( cR @ Xx ) @ ( cR @ Xy ) ) )
% 1.34/1.14 & ! [Xt: a,Xu: a] :
% 1.34/1.14 ( ( X @ ( cP @ Xt @ Xu ) )
% 1.34/1.14 => ( ( ( Xu = cZ )
% 1.34/1.14 => ( Xt = cZ ) )
% 1.34/1.14 & ( X @ ( cP @ ( cL @ Xt ) @ ( cL @ Xu ) ) )
% 1.34/1.14 & ( X @ ( cP @ ( cR @ Xt ) @ ( cR @ Xu ) ) ) ) ) ) ) ) ).
% 1.34/1.14 ------------------------
% 1.34/1.16 % (31444)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/183Mi)
% 1.34/1.16 % (31448)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_31318 for (2999ds/2Mi)
% 1.34/1.16 % (31450)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/18Mi)
% 1.34/1.16 % (31449)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_31318 for (2999ds/275Mi)
% 1.34/1.16 % (31445)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_31318 for (2999ds/4Mi)
% 1.34/1.16 % (31447)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/2Mi)
% 1.34/1.16 % (31446)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_31318 for (2999ds/27Mi)
% 1.34/1.16 % (31447)Instruction limit reached!
% 1.34/1.16 % (31447)------------------------------
% 1.34/1.16 % (31447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (31447)Termination reason: Unknown
% 1.34/1.16 % (31447)Termination phase: Preprocessing 1
% 1.34/1.16
% 1.34/1.16 % (31447)Memory used [KB]: 895
% 1.34/1.16 % (31447)Time elapsed: 0.002 s
% 1.34/1.16 % (31447)Instructions burned: 2 (million)
% 1.34/1.16 % (31447)------------------------------
% 1.34/1.16 % (31447)------------------------------
% 1.34/1.16 % (31448)Instruction limit reached!
% 1.34/1.16 % (31448)------------------------------
% 1.34/1.16 % (31448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (31448)Termination reason: Unknown
% 1.34/1.16 % (31448)Termination phase: shuffling
% 1.34/1.16
% 1.34/1.16 % (31448)Memory used [KB]: 1023
% 1.34/1.16 % (31448)Time elapsed: 0.002 s
% 1.34/1.16 % (31448)Instructions burned: 2 (million)
% 1.34/1.16 % (31448)------------------------------
% 1.34/1.16 % (31448)------------------------------
% 1.34/1.16 % (31445)Instruction limit reached!
% 1.34/1.16 % (31445)------------------------------
% 1.34/1.16 % (31445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (31445)Termination reason: Unknown
% 1.34/1.16 % (31445)Termination phase: Saturation
% 1.34/1.16
% 1.34/1.16 % (31445)Memory used [KB]: 1023
% 1.34/1.16 % (31445)Time elapsed: 0.003 s
% 1.34/1.16 % (31445)Instructions burned: 5 (million)
% 1.34/1.16 % (31445)------------------------------
% 1.34/1.16 % (31445)------------------------------
% 1.34/1.16 % (31450)Instruction limit reached!
% 1.34/1.16 % (31450)------------------------------
% 1.34/1.16 % (31450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (31450)Termination reason: Unknown
% 1.34/1.16 % (31450)Termination phase: Saturation
% 1.34/1.16
% 1.34/1.16 % (31450)Memory used [KB]: 5628
% 1.34/1.16 % (31450)Time elapsed: 0.008 s
% 1.34/1.16 % (31450)Instructions burned: 19 (million)
% 1.34/1.16 % (31450)------------------------------
% 1.34/1.16 % (31450)------------------------------
% 1.34/1.17 % (31446)Instruction limit reached!
% 1.34/1.17 % (31446)------------------------------
% 1.34/1.17 % (31446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (31446)Termination reason: Unknown
% 1.34/1.17 % (31446)Termination phase: Saturation
% 1.34/1.17
% 1.34/1.17 % (31446)Memory used [KB]: 5628
% 1.34/1.17 % (31446)Time elapsed: 0.011 s
% 1.34/1.17 % (31446)Instructions burned: 27 (million)
% 1.34/1.17 % (31446)------------------------------
% 1.34/1.17 % (31446)------------------------------
% 1.34/1.17 % (31455)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/3Mi)
% 1.34/1.17 % (31456)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_31318 for (2999ds/37Mi)
% 1.34/1.17 % (31458)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_31318 for (2999ds/15Mi)
% 1.34/1.17 % (31455)Instruction limit reached!
% 1.34/1.17 % (31455)------------------------------
% 1.34/1.17 % (31455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (31455)Termination reason: Unknown
% 1.34/1.17 % (31455)Termination phase: Property scanning
% 1.34/1.17
% 1.34/1.17 % (31455)Memory used [KB]: 1023
% 1.34/1.17 % (31455)Time elapsed: 0.002 s
% 1.34/1.17 % (31455)Instructions burned: 4 (million)
% 1.34/1.17 % (31455)------------------------------
% 1.34/1.17 % (31455)------------------------------
% 1.34/1.17 % (31458)Instruction limit reached!
% 1.34/1.17 % (31458)------------------------------
% 1.34/1.17 % (31458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (31458)Termination reason: Unknown
% 1.34/1.17 % (31458)Termination phase: Saturation
% 1.34/1.17
% 1.34/1.17 % (31458)Memory used [KB]: 5628
% 1.34/1.17 % (31458)Time elapsed: 0.006 s
% 1.34/1.17 % (31458)Instructions burned: 15 (million)
% 1.34/1.17 % (31458)------------------------------
% 1.34/1.17 % (31458)------------------------------
% 1.34/1.17 % (31460)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_31318 for (2999ds/3Mi)
% 1.34/1.17 % (31460)Instruction limit reached!
% 1.34/1.17 % (31460)------------------------------
% 1.34/1.17 % (31460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (31460)Termination reason: Unknown
% 1.34/1.17 % (31460)Termination phase: Preprocessing 3
% 1.34/1.17
% 1.34/1.17 % (31460)Memory used [KB]: 1023
% 1.34/1.17 % (31460)Time elapsed: 0.002 s
% 1.34/1.17 % (31460)Instructions burned: 3 (million)
% 1.34/1.17 % (31460)------------------------------
% 1.34/1.17 % (31460)------------------------------
% 1.34/1.18 % (31464)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_31318 for (2999ds/1041Mi)
% 1.34/1.18 % (31466)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/7Mi)
% 1.34/1.18 % (31456)Instruction limit reached!
% 1.34/1.18 % (31456)------------------------------
% 1.34/1.18 % (31456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (31456)Termination reason: Unknown
% 1.34/1.18 % (31456)Termination phase: Saturation
% 1.34/1.18
% 1.34/1.18 % (31456)Memory used [KB]: 5628
% 1.34/1.18 % (31456)Time elapsed: 0.012 s
% 1.34/1.18 % (31456)Instructions burned: 37 (million)
% 1.34/1.18 % (31456)------------------------------
% 1.34/1.18 % (31456)------------------------------
% 1.34/1.18 % (31466)Instruction limit reached!
% 1.34/1.18 % (31466)------------------------------
% 1.34/1.18 % (31466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (31466)Termination reason: Unknown
% 1.34/1.18 % (31466)Termination phase: Saturation
% 1.34/1.18
% 1.34/1.18 % (31466)Memory used [KB]: 1023
% 1.34/1.18 % (31466)Time elapsed: 0.004 s
% 1.34/1.18 % (31466)Instructions burned: 8 (million)
% 1.34/1.18 % (31466)------------------------------
% 1.34/1.18 % (31466)------------------------------
% 1.34/1.18 % (31470)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/16Mi)
% 1.34/1.18 % (31472)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_31318 for (2999ds/3Mi)
% 1.34/1.19 % (31472)Instruction limit reached!
% 1.34/1.19 % (31472)------------------------------
% 1.34/1.19 % (31472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (31472)Termination reason: Unknown
% 1.34/1.19 % (31472)Termination phase: Preprocessing 3
% 1.34/1.19
% 1.34/1.19 % (31472)Memory used [KB]: 1023
% 1.34/1.19 % (31472)Time elapsed: 0.002 s
% 1.34/1.19 % (31472)Instructions burned: 3 (million)
% 1.34/1.19 % (31472)------------------------------
% 1.34/1.19 % (31472)------------------------------
% 1.34/1.19 % (31474)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_31318 for (2999ds/3Mi)
% 1.34/1.19 % (31470)Instruction limit reached!
% 1.34/1.19 % (31470)------------------------------
% 1.34/1.19 % (31470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (31470)Termination reason: Unknown
% 1.34/1.19 % (31470)Termination phase: Saturation
% 1.34/1.19
% 1.34/1.19 % (31470)Memory used [KB]: 5628
% 1.34/1.19 % (31470)Time elapsed: 0.007 s
% 1.34/1.19 % (31470)Instructions burned: 18 (million)
% 1.34/1.19 % (31470)------------------------------
% 1.34/1.19 % (31470)------------------------------
% 1.34/1.19 % (31474)Instruction limit reached!
% 1.34/1.19 % (31474)------------------------------
% 1.34/1.19 % (31474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (31474)Termination reason: Unknown
% 1.34/1.19 % (31474)Termination phase: Clausification
% 1.34/1.19
% 1.34/1.19 % (31474)Memory used [KB]: 1023
% 1.34/1.19 % (31474)Time elapsed: 0.002 s
% 1.34/1.19 % (31474)Instructions burned: 3 (million)
% 1.34/1.19 % (31474)------------------------------
% 1.34/1.19 % (31474)------------------------------
% 1.34/1.19 % (31477)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/7Mi)
% 1.34/1.19 % (31477)Instruction limit reached!
% 1.34/1.19 % (31477)------------------------------
% 1.34/1.19 % (31477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (31477)Termination reason: Unknown
% 1.34/1.19 % (31477)Termination phase: Saturation
% 1.34/1.19
% 1.34/1.19 % (31477)Memory used [KB]: 5500
% 1.34/1.19 % (31477)Time elapsed: 0.003 s
% 1.34/1.19 % (31477)Instructions burned: 7 (million)
% 1.34/1.19 % (31477)------------------------------
% 1.34/1.19 % (31477)------------------------------
% 1.34/1.19 % (31479)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_31318 for (2999ds/3Mi)
% 1.34/1.19 % (31464)First to succeed.
% 1.34/1.20 % (31479)Instruction limit reached!
% 1.34/1.20 % (31479)------------------------------
% 1.34/1.20 % (31479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.20 % (31479)Termination reason: Unknown
% 1.34/1.20 % (31479)Termination phase: Saturation
% 1.34/1.20
% 1.34/1.20 % (31479)Memory used [KB]: 1023
% 1.34/1.20 % (31479)Time elapsed: 0.002 s
% 1.34/1.20 % (31479)Instructions burned: 4 (million)
% 1.34/1.20 % (31479)------------------------------
% 1.34/1.20 % (31479)------------------------------
% 1.38/1.20 % (31464)Refutation found. Thanks to Tanya!
% 1.38/1.20 % SZS status Theorem for DTF2THF_31318
% 1.38/1.20 % SZS output start Proof for DTF2THF_31318
% 1.38/1.20 thf(type_def_5, type, a: $tType).
% 1.38/1.20 thf(func_def_0, type, a: $tType).
% 1.38/1.20 thf(func_def_1, type, cR: a > a).
% 1.38/1.20 thf(func_def_2, type, cP: a > a > a).
% 1.38/1.20 thf(func_def_3, type, cL: a > a).
% 1.38/1.20 thf(func_def_4, type, cZ: a).
% 1.38/1.20 thf(func_def_20, type, ph1: !>[X0: $tType]:(X0)).
% 1.38/1.20 thf(func_def_21, type, sK2: a).
% 1.38/1.20 thf(func_def_22, type, sK3: a).
% 1.38/1.20 thf(func_def_23, type, sK4: a > $o).
% 1.38/1.20 thf(f155,plain,(
% 1.38/1.20 $false),
% 1.38/1.20 inference(trivial_inequality_removal,[status(thm)],[f154])).
% 1.38/1.20 thf(f154,plain,(
% 1.38/1.20 ($true = $false)),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f153])).
% 1.38/1.20 thf(f153,plain,(
% 1.38/1.20 ($true = (~ $true))),
% 1.38/1.20 inference(forward_demodulation,[status(thm)],[f142,f29])).
% 1.38/1.20 thf(f29,plain,(
% 1.38/1.20 ($true = (sK4 @ (cP @ sK3 @ sK2)))),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f28])).
% 1.38/1.20 thf(f28,plain,(
% 1.38/1.20 ($true = ($true & (sK4 @ (cP @ sK3 @ sK2))))),
% 1.38/1.20 inference(backward_demodulation,[status(thm)],[f25,f27])).
% 1.38/1.20 thf(f27,plain,(
% 1.38/1.20 ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ (cP @ Y0 @ Y1)) => ((((cZ = Y1) => (cZ = Y0)) & (sK4 @ (cP @ (cL @ Y0) @ (cL @ Y1)))) & (sK4 @ (cP @ (cR @ Y0) @ (cR @ Y1))))))))))),
% 1.38/1.20 inference(binary_proxy_clausification,[status(thm)],[f25])).
% 1.38/1.20 thf(f25,plain,(
% 1.38/1.20 ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ (cP @ Y0 @ Y1)) => ((((cZ = Y1) => (cZ = Y0)) & (sK4 @ (cP @ (cL @ Y0) @ (cL @ Y1)))) & (sK4 @ (cP @ (cR @ Y0) @ (cR @ Y1))))))))) & (sK4 @ (cP @ sK3 @ sK2))))),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f24])).
% 1.38/1.20 thf(f24,plain,(
% 1.38/1.20 ($true = ((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ sK3 @ sK2)))) @ sK4))),
% 1.38/1.20 inference(sigma_clausification,[status(thm)],[f19])).
% 1.38/1.20 thf(f19,plain,(
% 1.38/1.20 ($true = (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ sK3 @ sK2))))))),
% 1.38/1.20 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.38/1.20 thf(f17,plain,(
% 1.38/1.20 (((?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ sK3 @ sK2))))) => (?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ (cR @ sK3) @ (cR @ sK2))))))) = $false)),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f16])).
% 1.38/1.20 thf(f16,plain,(
% 1.38/1.20 (((^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (cP @ Y2 @ Y3)) => ((((cZ = Y3) => (cZ = Y2)) & (Y1 @ (cP @ (cL @ Y2) @ (cL @ Y3)))) & (Y1 @ (cP @ (cR @ Y2) @ (cR @ Y3))))))))) & (Y1 @ (cP @ Y0 @ sK2))))) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (cP @ Y2 @ Y3)) => ((((cZ = Y3) => (cZ = Y2)) & (Y1 @ (cP @ (cL @ Y2) @ (cL @ Y3)))) & (Y1 @ (cP @ (cR @ Y2) @ (cR @ Y3))))))))) & (Y1 @ (cP @ (cR @ Y0) @ (cR @ sK2)))))))) @ sK3) = $false)),
% 1.38/1.20 inference(sigma_clausification,[status(thm)],[f15])).
% 1.38/1.20 thf(f15,plain,(
% 1.38/1.20 ((!! @ a @ (^[Y0 : a]: ((?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (cP @ Y2 @ Y3)) => ((((cZ = Y3) => (cZ = Y2)) & (Y1 @ (cP @ (cL @ Y2) @ (cL @ Y3)))) & (Y1 @ (cP @ (cR @ Y2) @ (cR @ Y3))))))))) & (Y1 @ (cP @ Y0 @ sK2))))) => (?? @ (a > $o) @ (^[Y1 : a > $o]: ((!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((Y1 @ (cP @ Y2 @ Y3)) => ((((cZ = Y3) => (cZ = Y2)) & (Y1 @ (cP @ (cL @ Y2) @ (cL @ Y3)))) & (Y1 @ (cP @ (cR @ Y2) @ (cR @ Y3))))))))) & (Y1 @ (cP @ (cR @ Y0) @ (cR @ sK2))))))))) = $false)),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f14])).
% 1.38/1.20 thf(f14,plain,(
% 1.38/1.20 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0)))))))))) @ sK2) = $false)),
% 1.38/1.20 inference(sigma_clausification,[status(thm)],[f13])).
% 1.38/1.20 thf(f13,plain,(
% 1.38/1.20 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0))))))))))) = $false)),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f12])).
% 1.38/1.20 thf(f12,plain,(
% 1.38/1.20 (($true => (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0)))))))))))) = $false)),
% 1.38/1.20 inference(backward_demodulation,[status(thm)],[f7,f11])).
% 1.38/1.20 thf(f11,plain,(
% 1.38/1.20 ($true = ((((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cL @ (cP @ Y1 @ Y0)) = Y1))))) & (cZ = (cL @ cZ))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cR @ (cP @ Y1 @ Y0)) = Y0)))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (((Y0 @ (cP @ (cL @ Y2) @ (cL @ Y1))) & ((cZ = Y1) = (cZ = Y2))) & (Y0 @ (cP @ (cR @ Y2) @ (cR @ Y1))))))))) => (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (Y2 = Y1)))))))))) & (cZ = (cR @ cZ))) & (!! @ a @ (^[Y0 : a]: (((cP @ (cL @ Y0) @ (cR @ Y0)) = Y0) = (~ (cZ = Y0)))))))),
% 1.38/1.20 inference(binary_proxy_clausification,[status(thm)],[f7])).
% 1.38/1.20 thf(f7,plain,(
% 1.38/1.20 ((((((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cL @ (cP @ Y1 @ Y0)) = Y1))))) & (cZ = (cL @ cZ))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cR @ (cP @ Y1 @ Y0)) = Y0)))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (((Y0 @ (cP @ (cL @ Y2) @ (cL @ Y1))) & ((cZ = Y1) = (cZ = Y2))) & (Y0 @ (cP @ (cR @ Y2) @ (cR @ Y1))))))))) => (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (Y2 = Y1)))))))))) & (cZ = (cR @ cZ))) & (!! @ a @ (^[Y0 : a]: (((cP @ (cL @ Y0) @ (cR @ Y0)) = Y0) = (~ (cZ = Y0)))))) => (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0)))))))))))) = $false)),
% 1.38/1.20 inference(not_proxy_clausification,[status(thm)],[f6])).
% 1.38/1.20 thf(f6,plain,(
% 1.38/1.20 ($true = (~ (((((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cL @ (cP @ Y1 @ Y0)) = Y1))))) & (cZ = (cL @ cZ))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cR @ (cP @ Y1 @ Y0)) = Y0)))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (((Y0 @ (cP @ (cL @ Y2) @ (cL @ Y1))) & ((cZ = Y1) = (cZ = Y2))) & (Y0 @ (cP @ (cR @ Y2) @ (cR @ Y1))))))))) => (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (Y2 = Y1)))))))))) & (cZ = (cR @ cZ))) & (!! @ a @ (^[Y0 : a]: (((cP @ (cL @ Y0) @ (cR @ Y0)) = Y0) = (~ (cZ = Y0)))))) => (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0))))))))))))))),
% 1.38/1.20 inference(cnf_transformation,[status(thm)],[f5])).
% 1.38/1.20 thf(f5,plain,(
% 1.38/1.20 ($true = (~ (((((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cL @ (cP @ Y1 @ Y0)) = Y1))))) & (cZ = (cL @ cZ))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((cR @ (cP @ Y1 @ Y0)) = Y0)))))) & (!! @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (((Y0 @ (cP @ (cL @ Y2) @ (cL @ Y1))) & ((cZ = Y1) = (cZ = Y2))) & (Y0 @ (cP @ (cR @ Y2) @ (cR @ Y1))))))))) => (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y2 @ Y1)) => (Y2 = Y1)))))))))) & (cZ = (cR @ cZ))) & (!! @ a @ (^[Y0 : a]: (((cP @ (cL @ Y0) @ (cR @ Y0)) = Y0) = (~ (cZ = Y0)))))) => (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ Y1 @ Y0))))) => (?? @ (a > $o) @ (^[Y2 : a > $o]: ((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((Y2 @ (cP @ Y3 @ Y4)) => ((((cZ = Y4) => (cZ = Y3)) & (Y2 @ (cP @ (cL @ Y3) @ (cL @ Y4)))) & (Y2 @ (cP @ (cR @ Y3) @ (cR @ Y4))))))))) & (Y2 @ (cP @ (cR @ Y1) @ (cR @ Y0))))))))))))))),
% 1.38/1.20 inference(fool_elimination,[status(thm)],[f4])).
% 1.38/1.20 thf(f4,plain,(
% 1.38/1.20 ~((! [X0 : a] : (((cP @ (cL @ X0) @ (cR @ X0)) = X0) <=> (cZ != X0)) & (cZ = (cR @ cZ)) & ! [X1 : a > $o] : (! [X2 : a,X3 : a] : ((X1 @ (cP @ X2 @ X3)) => ((X1 @ (cP @ (cR @ X2) @ (cR @ X3))) & ((cZ = X3) <=> (cZ = X2)) & (X1 @ (cP @ (cL @ X2) @ (cL @ X3))))) => ! [X4 : a,X5 : a] : ((X1 @ (cP @ X4 @ X5)) => (X4 = X5))) & ! [X6 : a,X7 : a] : ((cR @ (cP @ X6 @ X7)) = X7) & (cZ = (cL @ cZ)) & ! [X8 : a,X9 : a] : ((cL @ (cP @ X8 @ X9)) = X8)) => ! [X10 : a,X11 : a] : (? [X12 : a > $o] : ((X12 @ (cP @ X10 @ X11)) & ! [X13 : a,X14 : a] : ((X12 @ (cP @ X14 @ X13)) => ((X12 @ (cP @ (cR @ X14) @ (cR @ X13))) & (X12 @ (cP @ (cL @ X14) @ (cL @ X13))) & ((cZ = X13) => (cZ = X14))))) => ? [X15 : a > $o] : ((X15 @ (cP @ (cR @ X10) @ (cR @ X11))) & ! [X16 : a,X17 : a] : ((X15 @ (cP @ X17 @ X16)) => ((X15 @ (cP @ (cR @ X17) @ (cR @ X16))) & (X15 @ (cP @ (cL @ X17) @ (cL @ X16))) & ((cZ = X16) => (cZ = X17)))))))),
% 1.38/1.20 inference(rectify,[status(thm)],[f2])).
% 1.38/1.20 thf(f2,negated_conjecture,(
% 1.38/1.20 ~((! [X2 : a] : (((cP @ (cL @ X2) @ (cR @ X2)) = X2) <=> (cZ != X2)) & (cZ = (cR @ cZ)) & ! [X3 : a > $o] : (! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & ((cZ = X4) <=> (cZ = X2)) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))))) => ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (X2 = X4))) & ! [X0 : a,X1 : a] : ((cR @ (cP @ X0 @ X1)) = X1) & (cZ = (cL @ cZ)) & ! [X0 : a,X1 : a] : ((cL @ (cP @ X0 @ X1)) = X0)) => ! [X0 : a,X1 : a] : (? [X3 : a > $o] : ((X3 @ (cP @ X0 @ X1)) & ! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((cZ = X4) => (cZ = X2))))) => ? [X3 : a > $o] : ((X3 @ (cP @ (cR @ X0) @ (cR @ X1))) & ! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((cZ = X4) => (cZ = X2)))))))),
% 1.38/1.20 inference(negated_conjecture,[status(cth)],[f1])).
% 1.38/1.20 thf(f1,conjecture,(
% 1.38/1.20 (! [X2 : a] : (((cP @ (cL @ X2) @ (cR @ X2)) = X2) <=> (cZ != X2)) & (cZ = (cR @ cZ)) & ! [X3 : a > $o] : (! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & ((cZ = X4) <=> (cZ = X2)) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))))) => ! [X2 : a,X4 : a] : ((X3 @ (cP @ X2 @ X4)) => (X2 = X4))) & ! [X0 : a,X1 : a] : ((cR @ (cP @ X0 @ X1)) = X1) & (cZ = (cL @ cZ)) & ! [X0 : a,X1 : a] : ((cL @ (cP @ X0 @ X1)) = X0)) => ! [X0 : a,X1 : a] : (? [X3 : a > $o] : ((X3 @ (cP @ X0 @ X1)) & ! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((cZ = X4) => (cZ = X2))))) => ? [X3 : a > $o] : ((X3 @ (cP @ (cR @ X0) @ (cR @ X1))) & ! [X4 : a,X2 : a] : ((X3 @ (cP @ X2 @ X4)) => ((X3 @ (cP @ (cR @ X2) @ (cR @ X4))) & (X3 @ (cP @ (cL @ X2) @ (cL @ X4))) & ((cZ = X4) => (cZ = X2))))))),
% 1.38/1.20 file('/export/starexec/sandbox2/tmp/tmp.Gh8llE89y2/DTF2THF_31318.p',cPU_LEM2C_pme)).
% 1.38/1.20 thf(f142,plain,(
% 1.38/1.20 ($true = (~ (sK4 @ (cP @ sK3 @ sK2))))),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f141])).
% 1.38/1.20 thf(f141,plain,(
% 1.38/1.20 ($true = ((sK4 @ (cP @ sK3 @ sK2)) => $false))),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f120])).
% 1.38/1.20 thf(f120,plain,(
% 1.38/1.20 (((sK4 @ (cP @ sK3 @ sK2)) => ((((cZ = sK2) => (cZ = sK3)) & (sK4 @ (cP @ (cL @ sK3) @ (cL @ sK2)))) & $false)) = $true)),
% 1.38/1.20 inference(superposition,[status(thm)],[f111,f36])).
% 1.38/1.20 thf(f36,plain,(
% 1.38/1.20 ((sK4 @ (cP @ (cR @ sK3) @ (cR @ sK2))) = $false)),
% 1.38/1.20 inference(boolean_simplification,[status(thm)],[f35])).
% 1.38/1.20 thf(f35,plain,(
% 1.38/1.20 (($true & (sK4 @ (cP @ (cR @ sK3) @ (cR @ sK2)))) = $false)),
% 1.38/1.20 inference(superposition,[status(thm)],[f31,f27])).
% 1.38/1.20 thf(f31,plain,(
% 1.38/1.20 ( ! [X1 : a > $o] : ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X1 @ (cP @ Y0 @ Y1)) => ((((cZ = Y1) => (cZ = Y0)) & (X1 @ (cP @ (cL @ Y0) @ (cL @ Y1)))) & (X1 @ (cP @ (cR @ Y0) @ (cR @ Y1))))))))) & (X1 @ (cP @ (cR @ sK3) @ (cR @ sK2)))) = $false)) )),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.38/1.20 thf(f30,plain,(
% 1.38/1.20 ( ! [X1 : a > $o] : ((((^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ (cR @ sK3) @ (cR @ sK2))))) @ X1) = $false)) )),
% 1.38/1.20 inference(pi_clausification,[status(thm)],[f18])).
% 1.38/1.20 thf(f18,plain,(
% 1.38/1.20 ((?? @ (a > $o) @ (^[Y0 : a > $o]: ((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((Y0 @ (cP @ Y1 @ Y2)) => ((((cZ = Y2) => (cZ = Y1)) & (Y0 @ (cP @ (cL @ Y1) @ (cL @ Y2)))) & (Y0 @ (cP @ (cR @ Y1) @ (cR @ Y2))))))))) & (Y0 @ (cP @ (cR @ sK3) @ (cR @ sK2)))))) = $false)),
% 1.38/1.20 inference(binary_proxy_clausification,[status(thm)],[f17])).
% 1.38/1.20 thf(f111,plain,(
% 1.38/1.20 ( ! [X2 : a,X1 : a] : (($true = ((sK4 @ (cP @ X1 @ X2)) => ((((cZ = X2) => (cZ = X1)) & (sK4 @ (cP @ (cL @ X1) @ (cL @ X2)))) & (sK4 @ (cP @ (cR @ X1) @ (cR @ X2))))))) )),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f110])).
% 1.38/1.20 thf(f110,plain,(
% 1.38/1.20 ( ! [X2 : a,X1 : a] : (($true = ((^[Y0 : a]: ((sK4 @ (cP @ X1 @ Y0)) => ((((cZ = Y0) => (cZ = X1)) & (sK4 @ (cP @ (cL @ X1) @ (cL @ Y0)))) & (sK4 @ (cP @ (cR @ X1) @ (cR @ Y0)))))) @ X2))) )),
% 1.38/1.20 inference(pi_clausification,[status(thm)],[f33])).
% 1.38/1.20 thf(f33,plain,(
% 1.38/1.20 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK4 @ (cP @ X1 @ Y0)) => ((((cZ = Y0) => (cZ = X1)) & (sK4 @ (cP @ (cL @ X1) @ (cL @ Y0)))) & (sK4 @ (cP @ (cR @ X1) @ (cR @ Y0))))))))) )),
% 1.38/1.20 inference(beta_eta_normalization,[status(thm)],[f32])).
% 1.38/1.20 thf(f32,plain,(
% 1.38/1.20 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK4 @ (cP @ Y0 @ Y1)) => ((((cZ = Y1) => (cZ = Y0)) & (sK4 @ (cP @ (cL @ Y0) @ (cL @ Y1)))) & (sK4 @ (cP @ (cR @ Y0) @ (cR @ Y1)))))))) @ X1))) )),
% 1.38/1.20 inference(pi_clausification,[status(thm)],[f27])).
% 1.38/1.20 % SZS output end Proof for DTF2THF_31318
% 1.38/1.20 % (31464)------------------------------
% 1.38/1.20 % (31464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.20 % (31464)Termination reason: Refutation
% 1.38/1.20
% 1.38/1.20 % (31464)Memory used [KB]: 5884
% 1.38/1.20 % (31464)Time elapsed: 0.020 s
% 1.38/1.20 % (31464)Instructions burned: 53 (million)
% 1.38/1.20 % (31464)------------------------------
% 1.38/1.20 % (31464)------------------------------
% 1.38/1.20 % (31441)Success in time 0.042 s
%------------------------------------------------------------------------------