%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV041^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 09:40:08 AM UTC 2026
% Result : Theorem 138.23s 21.16s
% Output : Refutation 138.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 269 ( 2 unt; 0 typ; 22 def)
% Number of atoms : 2544 ( 704 equ; 0 cnn)
% Maximal formula atoms : 62 ( 9 avg)
% Number of connectives : 4927 ( 523 ~; 614 |; 158 &;3204 @)
% ( 22 <=>; 216 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 301 ( 301 >; 0 *; 0 +; 0 <<)
% Number of symbols : 49 ( 45 usr; 35 con; 0-4 aty)
% ( 190 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 970 ( 356 ^; 536 !; 78 ?; 970 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_7,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_12,type,
diff:
!>[X0: $tType,X1: $tType] : ( ( X0 > X1 ) > ( X0 > X1 ) > X0 ) ).
thf(func_def_13,type,
sK0: a > b > b > $o ).
thf(func_def_14,type,
sK1: a > a > $o ).
thf(func_def_15,type,
sK2: a > b > b > $o ).
thf(func_def_16,type,
sK3: a > a > $o ).
thf(func_def_17,type,
sK4: a > b ).
thf(func_def_18,type,
sK5: a > b ).
thf(func_def_19,type,
sK6: a > b ).
thf(func_def_20,type,
sK7: a ).
thf(func_def_21,type,
sK8: a ).
thf(func_def_22,type,
sK9: a > b ).
thf(func_def_23,type,
sK10: a > b ).
thf(func_def_24,type,
sK11: a ).
thf(func_def_25,type,
sK12: a ).
thf(func_def_27,type,
ph14:
!>[X0: $tType] : X0 ).
thf(func_def_28,type,
sK15: a > b ).
thf(func_def_29,type,
sK16: a > b ).
thf(func_def_30,type,
sK17: a ).
thf(func_def_31,type,
sK18: a ).
thf(func_def_32,type,
sK19: a ).
thf(func_def_33,type,
sK20: a ).
thf(func_def_34,type,
sK21: a ).
thf(func_def_35,type,
sK22: a ).
thf(f2526,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f69,f77,f81,f82,f83,f88,f93,f94,f95,f96,f97,f98,f139,f148,f153,f162,f167,f290,f367,f397,f605,f656,f841,f863,f943,f1033,f1127,f1289,f1339,f2421,f2521]) ).
thf(f2521,plain,
( spl13_3
| ~ spl13_4
| ~ spl13_6
| ~ spl13_22 ),
inference(avatar_contradiction_clause,[status(thm)],[f2520]) ).
thf(f2520,plain,
( $false
| spl13_3
| ~ spl13_4
| ~ spl13_6
| ~ spl13_22 ),
inference(trivial_inequality_removal,[status(thm)],[f2519]) ).
thf(f2519,plain,
( ( $true = $false )
| spl13_3
| ~ spl13_4
| ~ spl13_6
| ~ spl13_22 ),
inference(forward_demodulation,[status(thm)],[f2508,f414]) ).
thf(f414,plain,
( ( ( sK0 @ sK11 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) )
= $false )
| spl13_3
| ~ spl13_4
| ~ spl13_22 ),
inference(trivial_inequality_removal,[status(thm)],[f412]) ).
thf(f412,plain,
( ( ( sK0 @ sK11 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) )
= $false )
| ( $true != $true )
| spl13_3
| ~ spl13_4
| ~ spl13_22 ),
inference(superposition,[status(thm)],[f68,f386]) ).
thf(f386,plain,
( ! [X0: b,X1: b] :
( ( $true
= ( sK0 @ sK11 @ X0 @ X1 ) )
| ( ( sK0 @ sK11 @ X1 @ X0 )
= $false ) )
| ~ spl13_4
| ~ spl13_22 ),
inference(trivial_inequality_removal,[status(thm)],[f383]) ).
thf(f383,plain,
( ! [X0: b,X1: b] :
( ( $true = $false )
| ( ( sK0 @ sK11 @ X1 @ X0 )
= $false )
| ( $true
= ( sK0 @ sK11 @ X0 @ X1 ) ) )
| ~ spl13_4
| ~ spl13_22 ),
inference(superposition,[status(thm)],[f203,f366]) ).
thf(f366,plain,
( ! [X0: b,X1: b] :
( ( $true
= ( sK0 @ sK12 @ X1 @ X0 ) )
| ( ( sK0 @ sK11 @ X0 @ X1 )
= $false ) )
| ~ spl13_22 ),
inference(avatar_component_clause,[status(thm)],[f365]) ).
thf(f365,definition,
( spl13_22
<=> ! [X0: b,X1: b] :
( ( ( sK0 @ sK11 @ X0 @ X1 )
= $false )
| ( $true
= ( sK0 @ sK12 @ X1 @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_22])],[avatar_definition]) ).
thf(f203,plain,
( ! [X2: b,X1: b] :
( ( ( sK0 @ sK12 @ X1 @ X2 )
= $false )
| ( ( sK0 @ sK11 @ X1 @ X2 )
= $true ) )
| ~ spl13_4 ),
inference(binary_proxy_clausification,[status(thm)],[f202]) ).
thf(f202,plain,
( ! [X2: b,X1: b] :
( ( sK0 @ sK11 @ X1 @ X2 )
= ( sK0 @ sK12 @ X1 @ X2 ) )
| ~ spl13_4 ),
inference(argument_congruence,[status(thm)],[f199]) ).
thf(f199,plain,
( ! [X1: b] :
( ( sK0 @ sK11 @ X1 )
= ( sK0 @ sK12 @ X1 ) )
| ~ spl13_4 ),
inference(argument_congruence,[status(thm)],[f172]) ).
thf(f172,plain,
( ( ( sK0 @ sK12 )
= ( sK0 @ sK11 ) )
| ~ spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f168]) ).
thf(f168,plain,
( ( ( sK0 @ sK12 )
= ( sK0 @ sK11 ) )
| ( $true != $true )
| ~ spl13_4 ),
inference(superposition,[status(thm)],[f51,f73]) ).
thf(f73,plain,
( ( $true
= ( sK1 @ sK11 @ sK12 ) )
| ~ spl13_4 ),
inference(avatar_component_clause,[status(thm)],[f71]) ).
thf(f71,definition,
( spl13_4
<=> ( $true
= ( sK1 @ sK11 @ sK12 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_4])],[avatar_definition]) ).
thf(f51,plain,
! [X21: a,X22: a] :
( ( ( sK1 @ X21 @ X22 )
!= $true )
| ( ( sK0 @ X21 )
= ( sK0 @ X22 ) ) ),
inference(definition_unfolding,[status(thm)],[f23,f37]) ).
thf(f37,plain,
sK3 = sK1,
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f16,plain,
( ( sK3 = sK1 )
& ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ( $true
= ( sK3 @ sK8 @ sK7 ) )
& ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
& ! [X9: a,X10: a] :
( ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true ) ) )
| ( ! [X15: a,X16: a] :
( ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) )
& ( $true
= ( sK3 @ sK11 @ sK12 ) )
& ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ) )
& ! [X19: a,X20: a] :
( ( $true
!= ( sK3 @ X19 @ X20 ) )
| ( $true
= ( sK3 @ X20 @ X19 ) ) )
& ! [X21: a,X22: a] :
( ( ( ( sK0 @ X21 )
= ( sK0 @ X22 ) )
& ! [X23: b,X24: b] :
( ( $true
= ( sK0 @ X21 @ X23 @ X24 ) )
| ( $true
!= ( sK0 @ X21 @ X24 @ X23 ) ) )
& ! [X25: b,X26: b,X27: b] :
( ( ( sK0 @ X21 @ X27 @ X25 )
!= $true )
| ( $true
!= ( sK0 @ X21 @ X26 @ X27 ) )
| ( $true
= ( sK0 @ X21 @ X26 @ X25 ) ) ) )
| ( $true
!= ( sK3 @ X21 @ X22 ) ) )
& ! [X28: a] :
( ( ( ( sK0 @ X28 )
= ( sK2 @ X28 ) )
& ! [X29: b,X30: b] :
( ( $true
= ( sK0 @ X28 @ X29 @ X30 ) )
| ( $true
!= ( sK0 @ X28 @ X30 @ X29 ) ) )
& ! [X31: b,X32: b,X33: b] :
( ( $true
!= ( sK0 @ X28 @ X32 @ X33 ) )
| ( ( sK0 @ X28 @ X31 @ X33 )
= $true )
| ( $true
!= ( sK0 @ X28 @ X31 @ X32 ) ) ) )
| ( $true
!= ( sK3 @ X28 @ X28 ) ) )
& ! [X34: a,X35: a,X36: a] :
( ( ( sK3 @ X34 @ X35 )
!= $true )
| ( $true
= ( sK3 @ X36 @ X35 ) )
| ( $true
!= ( sK3 @ X36 @ X34 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f10,f15,f14,f13,f12,f11]) ).
thf(f11,plain,
( ? [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( X1 = X3 )
& ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ? [X4: a > b,X5: a > b,X6: a > b] :
( ? [X7: a,X8: a] :
( ( ( X3 @ X8 @ X7 )
= $true )
& ( $true
!= ( X0 @ X8 @ ( X4 @ X8 ) @ ( X6 @ X7 ) ) ) )
& ! [X9: a,X10: a] :
( ( $true
= ( X0 @ X9 @ ( X4 @ X9 ) @ ( X5 @ X10 ) ) )
| ( ( X3 @ X9 @ X10 )
!= $true ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X3 @ X12 @ X11 ) )
| ( $true
= ( X0 @ X12 @ ( X5 @ X12 ) @ ( X6 @ X11 ) ) ) ) )
| ? [X13: a > b,X14: a > b] :
( ! [X15: a,X16: a] :
( ( $true
= ( X0 @ X15 @ ( X13 @ X15 ) @ ( X14 @ X16 ) ) )
| ( $true
!= ( X3 @ X15 @ X16 ) ) )
& ? [X17: a,X18: a] :
( ( $true
= ( X3 @ X17 @ X18 ) )
& ( $true
!= ( X0 @ X17 @ ( X14 @ X17 ) @ ( X13 @ X18 ) ) ) ) ) )
& ! [X19: a,X20: a] :
( ( $true
!= ( X3 @ X19 @ X20 ) )
| ( ( X3 @ X20 @ X19 )
= $true ) )
& ! [X21: a,X22: a] :
( ( ( ( X0 @ X21 )
= ( X0 @ X22 ) )
& ! [X23: b,X24: b] :
( ( $true
= ( X0 @ X21 @ X23 @ X24 ) )
| ( $true
!= ( X0 @ X21 @ X24 @ X23 ) ) )
& ! [X25: b,X26: b,X27: b] :
( ( ( X0 @ X21 @ X27 @ X25 )
!= $true )
| ( $true
!= ( X0 @ X21 @ X26 @ X27 ) )
| ( $true
= ( X0 @ X21 @ X26 @ X25 ) ) ) )
| ( $true
!= ( X3 @ X21 @ X22 ) ) )
& ! [X28: a] :
( ( ( ( X0 @ X28 )
= ( X2 @ X28 ) )
& ! [X29: b,X30: b] :
( ( $true
= ( X0 @ X28 @ X29 @ X30 ) )
| ( $true
!= ( X0 @ X28 @ X30 @ X29 ) ) )
& ! [X31: b,X32: b,X33: b] :
( ( $true
!= ( X0 @ X28 @ X32 @ X33 ) )
| ( $true
= ( X0 @ X28 @ X31 @ X33 ) )
| ( $true
!= ( X0 @ X28 @ X31 @ X32 ) ) ) )
| ( $true
!= ( X3 @ X28 @ X28 ) ) )
& ! [X34: a,X35: a,X36: a] :
( ( $true
!= ( X3 @ X34 @ X35 ) )
| ( $true
= ( X3 @ X36 @ X35 ) )
| ( $true
!= ( X3 @ X36 @ X34 ) ) ) )
=> ( ( sK3 = sK1 )
& ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ? [X6: a > b,X5: a > b,X4: a > b] :
( ? [X8: a,X7: a] :
( ( $true
= ( sK3 @ X8 @ X7 ) )
& ( $true
!= ( sK0 @ X8 @ ( X4 @ X8 ) @ ( X6 @ X7 ) ) ) )
& ! [X10: a,X9: a] :
( ( $true
= ( sK0 @ X9 @ ( X4 @ X9 ) @ ( X5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( $true
= ( sK0 @ X12 @ ( X5 @ X12 ) @ ( X6 @ X11 ) ) ) ) )
| ? [X14: a > b,X13: a > b] :
( ! [X16: a,X15: a] :
( ( $true
= ( sK0 @ X15 @ ( X13 @ X15 ) @ ( X14 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) )
& ? [X18: a,X17: a] :
( ( $true
= ( sK3 @ X17 @ X18 ) )
& ( $true
!= ( sK0 @ X17 @ ( X14 @ X17 ) @ ( X13 @ X18 ) ) ) ) ) )
& ! [X20: a,X19: a] :
( ( $true
!= ( sK3 @ X19 @ X20 ) )
| ( $true
= ( sK3 @ X20 @ X19 ) ) )
& ! [X22: a,X21: a] :
( ( ( ( sK0 @ X21 )
= ( sK0 @ X22 ) )
& ! [X24: b,X23: b] :
( ( $true
= ( sK0 @ X21 @ X23 @ X24 ) )
| ( $true
!= ( sK0 @ X21 @ X24 @ X23 ) ) )
& ! [X27: b,X26: b,X25: b] :
( ( ( sK0 @ X21 @ X27 @ X25 )
!= $true )
| ( $true
!= ( sK0 @ X21 @ X26 @ X27 ) )
| ( $true
= ( sK0 @ X21 @ X26 @ X25 ) ) ) )
| ( $true
!= ( sK3 @ X21 @ X22 ) ) )
& ! [X28: a] :
( ( ( ( sK0 @ X28 )
= ( sK2 @ X28 ) )
& ! [X30: b,X29: b] :
( ( $true
= ( sK0 @ X28 @ X29 @ X30 ) )
| ( $true
!= ( sK0 @ X28 @ X30 @ X29 ) ) )
& ! [X33: b,X32: b,X31: b] :
( ( $true
!= ( sK0 @ X28 @ X32 @ X33 ) )
| ( ( sK0 @ X28 @ X31 @ X33 )
= $true )
| ( $true
!= ( sK0 @ X28 @ X31 @ X32 ) ) ) )
| ( $true
!= ( sK3 @ X28 @ X28 ) ) )
& ! [X36: a,X35: a,X34: a] :
( ( ( sK3 @ X34 @ X35 )
!= $true )
| ( $true
= ( sK3 @ X36 @ X35 ) )
| ( $true
!= ( sK3 @ X36 @ X34 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
( ? [X6: a > b,X5: a > b,X4: a > b] :
( ? [X8: a,X7: a] :
( ( $true
= ( sK3 @ X8 @ X7 ) )
& ( $true
!= ( sK0 @ X8 @ ( X4 @ X8 ) @ ( X6 @ X7 ) ) ) )
& ! [X10: a,X9: a] :
( ( $true
= ( sK0 @ X9 @ ( X4 @ X9 ) @ ( X5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( $true
= ( sK0 @ X12 @ ( X5 @ X12 ) @ ( X6 @ X11 ) ) ) ) )
=> ( ? [X8: a,X7: a] :
( ( $true
= ( sK3 @ X8 @ X7 ) )
& ( $true
!= ( sK0 @ X8 @ ( sK4 @ X8 ) @ ( sK6 @ X7 ) ) ) )
& ! [X10: a,X9: a] :
( ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) ) )
& ! [X12: a,X11: a] :
( ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f13,plain,
( ? [X8: a,X7: a] :
( ( $true
= ( sK3 @ X8 @ X7 ) )
& ( $true
!= ( sK0 @ X8 @ ( sK4 @ X8 ) @ ( sK6 @ X7 ) ) ) )
=> ( ( $true
= ( sK3 @ sK8 @ sK7 ) )
& ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f14,plain,
( ? [X14: a > b,X13: a > b] :
( ! [X16: a,X15: a] :
( ( $true
= ( sK0 @ X15 @ ( X13 @ X15 ) @ ( X14 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) )
& ? [X18: a,X17: a] :
( ( $true
= ( sK3 @ X17 @ X18 ) )
& ( $true
!= ( sK0 @ X17 @ ( X14 @ X17 ) @ ( X13 @ X18 ) ) ) ) )
=> ( ! [X16: a,X15: a] :
( ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) )
& ? [X18: a,X17: a] :
( ( $true
= ( sK3 @ X17 @ X18 ) )
& ( $true
!= ( sK0 @ X17 @ ( sK10 @ X17 ) @ ( sK9 @ X18 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
( ? [X18: a,X17: a] :
( ( $true
= ( sK3 @ X17 @ X18 ) )
& ( $true
!= ( sK0 @ X17 @ ( sK10 @ X17 ) @ ( sK9 @ X18 ) ) ) )
=> ( ( $true
= ( sK3 @ sK11 @ sK12 ) )
& ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f10,plain,
? [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( X1 = X3 )
& ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ? [X4: a > b,X5: a > b,X6: a > b] :
( ? [X7: a,X8: a] :
( ( ( X3 @ X8 @ X7 )
= $true )
& ( $true
!= ( X0 @ X8 @ ( X4 @ X8 ) @ ( X6 @ X7 ) ) ) )
& ! [X9: a,X10: a] :
( ( $true
= ( X0 @ X9 @ ( X4 @ X9 ) @ ( X5 @ X10 ) ) )
| ( ( X3 @ X9 @ X10 )
!= $true ) )
& ! [X11: a,X12: a] :
( ( $true
!= ( X3 @ X12 @ X11 ) )
| ( $true
= ( X0 @ X12 @ ( X5 @ X12 ) @ ( X6 @ X11 ) ) ) ) )
| ? [X13: a > b,X14: a > b] :
( ! [X15: a,X16: a] :
( ( $true
= ( X0 @ X15 @ ( X13 @ X15 ) @ ( X14 @ X16 ) ) )
| ( $true
!= ( X3 @ X15 @ X16 ) ) )
& ? [X17: a,X18: a] :
( ( $true
= ( X3 @ X17 @ X18 ) )
& ( $true
!= ( X0 @ X17 @ ( X14 @ X17 ) @ ( X13 @ X18 ) ) ) ) ) )
& ! [X19: a,X20: a] :
( ( $true
!= ( X3 @ X19 @ X20 ) )
| ( ( X3 @ X20 @ X19 )
= $true ) )
& ! [X21: a,X22: a] :
( ( ( ( X0 @ X21 )
= ( X0 @ X22 ) )
& ! [X23: b,X24: b] :
( ( $true
= ( X0 @ X21 @ X23 @ X24 ) )
| ( $true
!= ( X0 @ X21 @ X24 @ X23 ) ) )
& ! [X25: b,X26: b,X27: b] :
( ( ( X0 @ X21 @ X27 @ X25 )
!= $true )
| ( $true
!= ( X0 @ X21 @ X26 @ X27 ) )
| ( $true
= ( X0 @ X21 @ X26 @ X25 ) ) ) )
| ( $true
!= ( X3 @ X21 @ X22 ) ) )
& ! [X28: a] :
( ( ( ( X0 @ X28 )
= ( X2 @ X28 ) )
& ! [X29: b,X30: b] :
( ( $true
= ( X0 @ X28 @ X29 @ X30 ) )
| ( $true
!= ( X0 @ X28 @ X30 @ X29 ) ) )
& ! [X31: b,X32: b,X33: b] :
( ( $true
!= ( X0 @ X28 @ X32 @ X33 ) )
| ( $true
= ( X0 @ X28 @ X31 @ X33 ) )
| ( $true
!= ( X0 @ X28 @ X31 @ X32 ) ) ) )
| ( $true
!= ( X3 @ X28 @ X28 ) ) )
& ! [X34: a,X35: a,X36: a] :
( ( $true
!= ( X3 @ X34 @ X35 ) )
| ( $true
= ( X3 @ X36 @ X35 ) )
| ( $true
!= ( X3 @ X36 @ X34 ) ) ) ),
inference(rectify,[status(thm)],[f9]) ).
thf(f9,plain,
? [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( X1 = X3 )
& ( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ? [X28: a > b,X29: a > b,X30: a > b] :
( ? [X35: a,X36: a] :
( ( $true
= ( X3 @ X36 @ X35 ) )
& ( $true
!= ( X0 @ X36 @ ( X28 @ X36 ) @ ( X30 @ X35 ) ) ) )
& ! [X31: a,X32: a] :
( ( $true
= ( X0 @ X31 @ ( X28 @ X31 ) @ ( X29 @ X32 ) ) )
| ( $true
!= ( X3 @ X31 @ X32 ) ) )
& ! [X33: a,X34: a] :
( ( $true
!= ( X3 @ X34 @ X33 ) )
| ( $true
= ( X0 @ X34 @ ( X29 @ X34 ) @ ( X30 @ X33 ) ) ) ) )
| ? [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( $true
= ( X0 @ X24 @ ( X22 @ X24 ) @ ( X23 @ X25 ) ) )
| ( ( X3 @ X24 @ X25 )
!= $true ) )
& ? [X26: a,X27: a] :
( ( $true
= ( X3 @ X26 @ X27 ) )
& ( $true
!= ( X0 @ X26 @ ( X23 @ X26 ) @ ( X22 @ X27 ) ) ) ) ) )
& ! [X4: a,X5: a] :
( ( $true
!= ( X3 @ X4 @ X5 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X9: a,X10: a] :
( ( ( ( X0 @ X10 )
= ( X0 @ X9 ) )
& ! [X14: b,X15: b] :
( ( $true
= ( X0 @ X9 @ X14 @ X15 ) )
| ( ( X0 @ X9 @ X15 @ X14 )
!= $true ) )
& ! [X11: b,X12: b,X13: b] :
( ( ( X0 @ X9 @ X13 @ X11 )
!= $true )
| ( $true
!= ( X0 @ X9 @ X12 @ X13 ) )
| ( $true
= ( X0 @ X9 @ X12 @ X11 ) ) ) )
| ( ( X3 @ X9 @ X10 )
!= $true ) )
& ! [X16: a] :
( ( ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( $true
= ( X0 @ X16 @ X20 @ X21 ) )
| ( $true
!= ( X0 @ X16 @ X21 @ X20 ) ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
!= ( X0 @ X16 @ X18 @ X19 ) )
| ( $true
= ( X0 @ X16 @ X17 @ X19 ) )
| ( $true
!= ( X0 @ X16 @ X17 @ X18 ) ) ) )
| ( $true
!= ( X3 @ X16 @ X16 ) ) )
& ! [X6: a,X7: a,X8: a] :
( ( $true
!= ( X3 @ X6 @ X7 ) )
| ( ( X3 @ X8 @ X7 )
= $true )
| ( $true
!= ( X3 @ X8 @ X6 ) ) ) ),
inference(flattening,[status(thm)],[f8]) ).
thf(f8,plain,
? [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( ? [X28: a > b,X29: a > b,X30: a > b] :
( ? [X35: a,X36: a] :
( ( $true
= ( X3 @ X36 @ X35 ) )
& ( $true
!= ( X0 @ X36 @ ( X28 @ X36 ) @ ( X30 @ X35 ) ) ) )
& ! [X33: a,X34: a] :
( ( $true
!= ( X3 @ X34 @ X33 ) )
| ( $true
= ( X0 @ X34 @ ( X29 @ X34 ) @ ( X30 @ X33 ) ) ) )
& ! [X31: a,X32: a] :
( ( $true
= ( X0 @ X31 @ ( X28 @ X31 ) @ ( X29 @ X32 ) ) )
| ( $true
!= ( X3 @ X31 @ X32 ) ) ) )
| ? [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( $true
= ( X0 @ X24 @ ( X22 @ X24 ) @ ( X23 @ X25 ) ) )
| ( ( X3 @ X24 @ X25 )
!= $true ) )
& ? [X26: a,X27: a] :
( ( $true
= ( X3 @ X26 @ X27 ) )
& ( $true
!= ( X0 @ X26 @ ( X23 @ X26 ) @ ( X22 @ X27 ) ) ) ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) )
& ! [X16: a] :
( ( ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( $true
= ( X0 @ X16 @ X20 @ X21 ) )
| ( $true
!= ( X0 @ X16 @ X21 @ X20 ) ) )
& ! [X17: b,X18: b,X19: b] :
( ( $true
= ( X0 @ X16 @ X17 @ X19 ) )
| ( $true
!= ( X0 @ X16 @ X18 @ X19 ) )
| ( $true
!= ( X0 @ X16 @ X17 @ X18 ) ) ) )
| ( $true
!= ( X3 @ X16 @ X16 ) ) )
& ! [X9: a,X10: a] :
( ( ! [X14: b,X15: b] :
( ( $true
= ( X0 @ X9 @ X14 @ X15 ) )
| ( ( X0 @ X9 @ X15 @ X14 )
!= $true ) )
& ( ( X0 @ X10 )
= ( X0 @ X9 ) )
& ! [X11: b,X12: b,X13: b] :
( ( $true
= ( X0 @ X9 @ X12 @ X11 ) )
| ( $true
!= ( X0 @ X9 @ X12 @ X13 ) )
| ( ( X0 @ X9 @ X13 @ X11 )
!= $true ) ) )
| ( ( X3 @ X9 @ X10 )
!= $true ) )
& ! [X4: a,X5: a] :
( ( $true
!= ( X3 @ X4 @ X5 ) )
| ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X6: a,X7: a,X8: a] :
( ( ( X3 @ X8 @ X7 )
= $true )
| ( $true
!= ( X3 @ X8 @ X6 ) )
| ( $true
!= ( X3 @ X6 @ X7 ) ) )
& ( X1 = X3 ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
~ ! [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( $true
= ( X3 @ X4 @ X5 ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X6: a,X7: a,X8: a] :
( ( ( $true
= ( X3 @ X8 @ X6 ) )
& ( $true
= ( X3 @ X6 @ X7 ) ) )
=> ( ( X3 @ X8 @ X7 )
= $true ) )
& ( X1 = X3 ) )
=> ( ! [X9: a,X10: a] :
( ( ( X3 @ X9 @ X10 )
= $true )
=> ( ! [X14: b,X15: b] :
( ( ( X0 @ X9 @ X15 @ X14 )
= $true )
=> ( $true
= ( X0 @ X9 @ X14 @ X15 ) ) )
& ( ( X0 @ X10 )
= ( X0 @ X9 ) )
& ! [X11: b,X12: b,X13: b] :
( ( ( $true
= ( X0 @ X9 @ X12 @ X13 ) )
& ( ( X0 @ X9 @ X13 @ X11 )
= $true ) )
=> ( $true
= ( X0 @ X9 @ X12 @ X11 ) ) ) ) )
=> ( ! [X16: a] :
( ( $true
= ( X3 @ X16 @ X16 ) )
=> ( ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( $true
= ( X0 @ X16 @ X21 @ X20 ) )
=> ( $true
= ( X0 @ X16 @ X20 @ X21 ) ) )
& ! [X17: b,X18: b,X19: b] :
( ( ( $true
= ( X0 @ X16 @ X18 @ X19 ) )
& ( $true
= ( X0 @ X16 @ X17 @ X18 ) ) )
=> ( $true
= ( X0 @ X16 @ X17 @ X19 ) ) ) ) )
=> ( ! [X28: a > b,X29: a > b,X30: a > b] :
( ( ! [X33: a,X34: a] :
( ( $true
= ( X3 @ X34 @ X33 ) )
=> ( $true
= ( X0 @ X34 @ ( X29 @ X34 ) @ ( X30 @ X33 ) ) ) )
& ! [X31: a,X32: a] :
( ( $true
= ( X3 @ X31 @ X32 ) )
=> ( $true
= ( X0 @ X31 @ ( X28 @ X31 ) @ ( X29 @ X32 ) ) ) ) )
=> ! [X35: a,X36: a] :
( ( $true
= ( X3 @ X36 @ X35 ) )
=> ( $true
= ( X0 @ X36 @ ( X28 @ X36 ) @ ( X30 @ X35 ) ) ) ) )
& ! [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( ( X3 @ X24 @ X25 )
= $true )
=> ( $true
= ( X0 @ X24 @ ( X22 @ X24 ) @ ( X23 @ X25 ) ) ) )
=> ! [X26: a,X27: a] :
( ( $true
= ( X3 @ X26 @ X27 ) )
=> ( $true
= ( X0 @ X26 @ ( X23 @ X26 ) @ ( X22 @ X27 ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( $true
= ( X3 @ X4 @ X5 ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) )
& ! [X6: a,X7: a,X8: a] :
( ( ( $true
= ( X3 @ X8 @ X6 ) )
& ( $true
= ( X3 @ X6 @ X7 ) ) )
=> ( ( X3 @ X8 @ X7 )
= $true ) )
& ( X1 = X3 ) )
=> ( ! [X9: a,X10: a] :
( ( ( X3 @ X9 @ X10 )
= $true )
=> ( ! [X14: b,X15: b] :
( ( ( X0 @ X9 @ X15 @ X14 )
= $true )
=> ( $true
= ( X0 @ X9 @ X14 @ X15 ) ) )
& ( ( X0 @ X10 )
= ( X0 @ X9 ) )
& ! [X11: b,X12: b,X13: b] :
( ( ( $true
= ( X0 @ X9 @ X12 @ X13 ) )
& ( ( X0 @ X9 @ X13 @ X11 )
= $true ) )
=> ( $true
= ( X0 @ X9 @ X12 @ X11 ) ) ) ) )
=> ( ! [X16: a] :
( ( $true
= ( X3 @ X16 @ X16 ) )
=> ( ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( $true
= ( X0 @ X16 @ X21 @ X20 ) )
=> ( $true
= ( X0 @ X16 @ X20 @ X21 ) ) )
& ! [X17: b,X18: b,X19: b] :
( ( ( $true
= ( X0 @ X16 @ X18 @ X19 ) )
& ( $true
= ( X0 @ X16 @ X17 @ X18 ) ) )
=> ( $true
= ( X0 @ X16 @ X17 @ X19 ) ) ) ) )
=> ( ! [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( ( X3 @ X24 @ X25 )
= $true )
=> ( $true
= ( X0 @ X24 @ ( X22 @ X24 ) @ ( X23 @ X25 ) ) ) )
=> ! [X26: a,X27: a] :
( ( $true
= ( X3 @ X26 @ X27 ) )
=> ( $true
= ( X0 @ X26 @ ( X23 @ X26 ) @ ( X22 @ X27 ) ) ) ) )
& ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X3 @ Y2 @ Y3 )
=> ( X0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( X1 @ Y2 @ Y3 )
=> ( X2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
& ! [X36: a > b,X37: a > b,X38: a > b] :
( ( ! [X39: a,X40: a] :
( ( $true
= ( X3 @ X39 @ X40 ) )
=> ( $true
= ( X0 @ X39 @ ( X36 @ X39 ) @ ( X37 @ X40 ) ) ) )
& ! [X41: a,X42: a] :
( ( $true
= ( X3 @ X42 @ X41 ) )
=> ( $true
= ( X0 @ X42 @ ( X37 @ X42 ) @ ( X38 @ X41 ) ) ) ) )
=> ! [X43: a,X44: a] :
( ( $true
= ( X3 @ X44 @ X43 ) )
=> ( $true
= ( X0 @ X44 @ ( X36 @ X44 ) @ ( X38 @ X43 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a > b > b > $o,X1: a > a > $o,X2: a > b > b > $o,X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( X3 @ X4 @ X5 )
=> ( X3 @ X5 @ X4 ) )
& ( X1 = X3 )
& ! [X6: a,X7: a,X8: a] :
( ( ( X3 @ X8 @ X6 )
& ( X3 @ X6 @ X7 ) )
=> ( X3 @ X8 @ X7 ) ) )
=> ( ! [X9: a,X10: a] :
( ( X3 @ X9 @ X10 )
=> ( ( ( X0 @ X10 )
= ( X0 @ X9 ) )
& ! [X11: b,X12: b,X13: b] :
( ( ( X0 @ X9 @ X12 @ X13 )
& ( X0 @ X9 @ X13 @ X11 ) )
=> ( X0 @ X9 @ X12 @ X11 ) )
& ! [X14: b,X15: b] :
( ( X0 @ X9 @ X15 @ X14 )
=> ( X0 @ X9 @ X14 @ X15 ) ) ) )
=> ( ! [X16: a] :
( ( X3 @ X16 @ X16 )
=> ( ! [X17: b,X18: b,X19: b] :
( ( ( X0 @ X16 @ X18 @ X19 )
& ( X0 @ X16 @ X17 @ X18 ) )
=> ( X0 @ X16 @ X17 @ X19 ) )
& ( ( X2 @ X16 )
= ( X0 @ X16 ) )
& ! [X20: b,X21: b] :
( ( X0 @ X16 @ X21 @ X20 )
=> ( X0 @ X16 @ X20 @ X21 ) ) ) )
=> ( ! [X22: a > b,X23: a > b] :
( ! [X24: a,X25: a] :
( ( X3 @ X24 @ X25 )
=> ( X0 @ X24 @ ( X22 @ X24 ) @ ( X23 @ X25 ) ) )
=> ! [X26: a,X27: a] :
( ( X3 @ X26 @ X27 )
=> ( X0 @ X26 @ ( X23 @ X26 ) @ ( X22 @ X27 ) ) ) )
& ( ( ^ [X28: a > b,X29: a > b] :
! [X30: a,X31: a] :
( ( X3 @ X31 @ X30 )
=> ( X0 @ X31 @ ( X28 @ X31 ) @ ( X29 @ X30 ) ) ) )
= ( ^ [X32: a > b,X33: a > b] :
! [X34: a,X35: a] :
( ( X1 @ X35 @ X34 )
=> ( X2 @ X35 @ ( X32 @ X35 ) @ ( X33 @ X34 ) ) ) ) )
& ! [X36: a > b,X37: a > b,X38: a > b] :
( ( ! [X39: a,X40: a] :
( ( X3 @ X39 @ X40 )
=> ( X0 @ X39 @ ( X36 @ X39 ) @ ( X37 @ X40 ) ) )
& ! [X41: a,X42: a] :
( ( X3 @ X42 @ X41 )
=> ( X0 @ X42 @ ( X37 @ X42 ) @ ( X38 @ X41 ) ) ) )
=> ! [X43: a,X44: a] :
( ( X3 @ X44 @ X43 )
=> ( X0 @ X44 @ ( X36 @ X44 ) @ ( X38 @ X43 ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o,X0: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X1 )
& ! [X5: a,X6: a,X4: a] :
( ( ( X0 @ X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ( ( X2 @ X4 )
= ( X2 @ X5 ) )
& ! [X6: b,X7: b,X8: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X7: b,X5: b,X6: b] :
( ( ( X2 @ X4 @ X5 @ X6 )
& ( X2 @ X4 @ X7 @ X5 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X4: a > b,X5: a > b] :
( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) )
& ( ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X4: a > b,X5: a > b,X6: a > b] :
( ( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
& ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X2: a > b > b > $o,X1: a > a > $o,X3: a > b > b > $o,X0: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( X0 @ X5 @ X4 ) )
& ( X0 = X1 )
& ! [X5: a,X6: a,X4: a] :
( ( ( X0 @ X4 @ X5 )
& ( X0 @ X5 @ X6 ) )
=> ( X0 @ X4 @ X6 ) ) )
=> ( ! [X4: a,X5: a] :
( ( X0 @ X4 @ X5 )
=> ( ( ( X2 @ X4 )
= ( X2 @ X5 ) )
& ! [X6: b,X7: b,X8: b] :
( ( ( X2 @ X4 @ X7 @ X8 )
& ( X2 @ X4 @ X8 @ X6 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ! [X8: b,X7: b] :
( ( X2 @ X4 @ X7 @ X8 )
=> ( X2 @ X4 @ X8 @ X7 ) ) ) )
=> ( ! [X4: a] :
( ( X0 @ X4 @ X4 )
=> ( ! [X7: b,X5: b,X6: b] :
( ( ( X2 @ X4 @ X5 @ X6 )
& ( X2 @ X4 @ X7 @ X5 ) )
=> ( X2 @ X4 @ X7 @ X6 ) )
& ( ( X2 @ X4 )
= ( X3 @ X4 ) )
& ! [X5: b,X7: b] :
( ( X2 @ X4 @ X7 @ X5 )
=> ( X2 @ X4 @ X5 @ X7 ) ) ) )
=> ( ! [X4: a > b,X5: a > b] :
( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
=> ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X4 @ X8 ) ) ) )
& ( ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X0 @ X4 @ X5 )
=> ( X2 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) )
= ( ^ [X9: a > b,X10: a > b] :
! [X5: a,X4: a] :
( ( X1 @ X4 @ X5 )
=> ( X3 @ X4 @ ( X9 @ X4 ) @ ( X10 @ X5 ) ) ) ) )
& ! [X4: a > b,X5: a > b,X6: a > b] :
( ( ! [X7: a,X8: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X5 @ X8 ) ) )
& ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X5 @ X7 ) @ ( X6 @ X8 ) ) ) )
=> ! [X8: a,X7: a] :
( ( X0 @ X7 @ X8 )
=> ( X2 @ X7 @ ( X4 @ X7 ) @ ( X6 @ X8 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.F6nncC3dEj/DTF2THF_14609.p',cTHM517_pme) ).
thf(f23,plain,
! [X21: a,X22: a] :
( ( ( sK0 @ X21 )
= ( sK0 @ X22 ) )
| ( $true
!= ( sK3 @ X21 @ X22 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f68,plain,
( ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) )
| spl13_3 ),
inference(avatar_component_clause,[status(thm)],[f66]) ).
thf(f66,definition,
( spl13_3
<=> ( $true
= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_3])],[avatar_definition]) ).
thf(f2508,plain,
( ( $true
= ( sK0 @ sK11 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) ) )
| ~ spl13_4
| ~ spl13_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2504]) ).
thf(f2504,plain,
( ( $true = $false )
| ( $true
= ( sK0 @ sK11 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) ) )
| ~ spl13_4
| ~ spl13_6 ),
inference(superposition,[status(thm)],[f203,f2501]) ).
thf(f2501,plain,
( ( $true
= ( sK0 @ sK12 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) ) )
| ~ spl13_4
| ~ spl13_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2495]) ).
thf(f2495,plain,
( ( $true
= ( sK0 @ sK12 @ ( sK9 @ sK12 ) @ ( sK10 @ sK11 ) ) )
| ( $true != $true )
| ~ spl13_4
| ~ spl13_6 ),
inference(superposition,[status(thm)],[f80,f173]) ).
thf(f173,plain,
( ( ( sK1 @ sK12 @ sK11 )
= $true )
| ~ spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f170]) ).
thf(f170,plain,
( ( ( sK1 @ sK12 @ sK11 )
= $true )
| ( $true != $true )
| ~ spl13_4 ),
inference(superposition,[status(thm)],[f50,f73]) ).
thf(f50,plain,
! [X19: a,X20: a] :
( ( $true
!= ( sK1 @ X19 @ X20 ) )
| ( $true
= ( sK1 @ X20 @ X19 ) ) ),
inference(definition_unfolding,[status(thm)],[f24,f37,f37]) ).
thf(f24,plain,
! [X19: a,X20: a] :
( ( $true
!= ( sK3 @ X19 @ X20 ) )
| ( $true
= ( sK3 @ X20 @ X19 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f80,plain,
( ! [X16: a,X15: a] :
( ( $true
!= ( sK1 @ X15 @ X16 ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) ) )
| ~ spl13_6 ),
inference(avatar_component_clause,[status(thm)],[f79]) ).
thf(f79,definition,
( spl13_6
<=> ! [X16: a,X15: a] :
( ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( $true
!= ( sK1 @ X15 @ X16 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_6])],[avatar_definition]) ).
thf(f2421,plain,
( spl13_68
| spl13_7
| ~ spl13_83
| ~ spl13_108 ),
inference(avatar_split_clause,[status(thm)],[f2420,f1337,f1124,f85,f1017]) ).
thf(f1017,definition,
( spl13_68
<=> ! [X1: a] :
( $true
!= ( sK1 @ sK8 @ X1 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_68])],[avatar_definition]) ).
thf(f85,definition,
( spl13_7
<=> ( $true
= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_7])],[avatar_definition]) ).
thf(f1124,definition,
( spl13_83
<=> ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK4 @ sK8 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_83])],[avatar_definition]) ).
thf(f1337,definition,
( spl13_108
<=> ! [X0: b] :
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ X0 ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_108])],[avatar_definition]) ).
thf(f2420,plain,
( ! [X0: a] :
( ( sK1 @ sK8 @ X0 )
!= $true )
| spl13_7
| ~ spl13_83
| ~ spl13_108 ),
inference(subsumption_resolution,[status(thm)],[f2418,f87]) ).
thf(f87,plain,
( ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| spl13_7 ),
inference(avatar_component_clause,[status(thm)],[f85]) ).
thf(f2418,plain,
( ! [X0: a] :
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( ( sK1 @ sK8 @ X0 )
!= $true ) )
| ~ spl13_83
| ~ spl13_108 ),
inference(trivial_inequality_removal,[status(thm)],[f2416]) ).
thf(f2416,plain,
( ! [X0: a] :
( ( $true != $true )
| ( ( sK1 @ sK8 @ X0 )
!= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) ) )
| ~ spl13_83
| ~ spl13_108 ),
inference(superposition,[status(thm)],[f52,f2292]) ).
thf(f2292,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK4 @ sK8 ) ) )
| ~ spl13_83
| ~ spl13_108 ),
inference(trivial_inequality_removal,[status(thm)],[f2279]) ).
thf(f2279,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK4 @ sK8 ) ) )
| ( $true != $true )
| ~ spl13_83
| ~ spl13_108 ),
inference(superposition,[status(thm)],[f1338,f1126]) ).
thf(f1126,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK4 @ sK8 ) ) )
| ~ spl13_83 ),
inference(avatar_component_clause,[status(thm)],[f1124]) ).
thf(f1338,plain,
( ! [X0: b] :
( ( $true
!= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ X0 ) )
| ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ X0 ) ) )
| ~ spl13_108 ),
inference(avatar_component_clause,[status(thm)],[f1337]) ).
thf(f52,plain,
! [X21: a,X24: b,X22: a,X23: b] :
( ( $true
!= ( sK0 @ X21 @ X24 @ X23 ) )
| ( $true
= ( sK0 @ X21 @ X23 @ X24 ) )
| ( ( sK1 @ X21 @ X22 )
!= $true ) ),
inference(definition_unfolding,[status(thm)],[f22,f37]) ).
thf(f22,plain,
! [X21: a,X24: b,X22: a,X23: b] :
( ( $true
= ( sK0 @ X21 @ X23 @ X24 ) )
| ( $true
!= ( sK0 @ X21 @ X24 @ X23 ) )
| ( $true
!= ( sK3 @ X21 @ X22 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f1339,plain,
( spl13_108
| spl13_68
| ~ spl13_101 ),
inference(avatar_split_clause,[status(thm)],[f1335,f1286,f1017,f1337]) ).
thf(f1286,definition,
( spl13_101
<=> ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK5 @ sK8 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_101])],[avatar_definition]) ).
thf(f1335,plain,
( ! [X0: b,X1: a] :
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ X0 ) )
| ( $true
!= ( sK1 @ sK8 @ X1 ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ X0 ) ) )
| ~ spl13_101 ),
inference(trivial_inequality_removal,[status(thm)],[f1332]) ).
thf(f1332,plain,
( ! [X0: b,X1: a] :
( ( $true != $true )
| ( $true
!= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ X0 ) )
| ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ X0 ) )
| ( $true
!= ( sK1 @ sK8 @ X1 ) ) )
| ~ spl13_101 ),
inference(superposition,[status(thm)],[f53,f1288]) ).
thf(f1288,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK5 @ sK8 ) ) )
| ~ spl13_101 ),
inference(avatar_component_clause,[status(thm)],[f1286]) ).
thf(f53,plain,
! [X21: a,X26: b,X27: b,X22: a,X25: b] :
( ( $true
!= ( sK0 @ X21 @ X26 @ X27 ) )
| ( ( sK0 @ X21 @ X27 @ X25 )
!= $true )
| ( ( sK1 @ X21 @ X22 )
!= $true )
| ( $true
= ( sK0 @ X21 @ X26 @ X25 ) ) ),
inference(definition_unfolding,[status(thm)],[f21,f37]) ).
thf(f21,plain,
! [X21: a,X26: b,X27: b,X22: a,X25: b] :
( ( ( sK0 @ X21 @ X27 @ X25 )
!= $true )
| ( $true
!= ( sK0 @ X21 @ X26 @ X27 ) )
| ( $true
= ( sK0 @ X21 @ X26 @ X25 ) )
| ( $true
!= ( sK3 @ X21 @ X22 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f1289,plain,
( spl13_68
| spl13_101
| ~ spl13_5
| ~ spl13_8 ),
inference(avatar_split_clause,[status(thm)],[f1284,f90,f75,f1286,f1017]) ).
thf(f75,definition,
( spl13_5
<=> ! [X12: a,X11: a] :
( ( $true
!= ( sK1 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl13_5])],[avatar_definition]) ).
thf(f90,definition,
( spl13_8
<=> ( ( sK1 @ sK8 @ sK7 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl13_8])],[avatar_definition]) ).
thf(f1284,plain,
( ! [X0: a] :
( ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK5 @ sK8 ) ) )
| ( ( sK1 @ sK8 @ X0 )
!= $true ) )
| ~ spl13_5
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1282]) ).
thf(f1282,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
= ( sK0 @ sK8 @ ( sK6 @ sK7 ) @ ( sK5 @ sK8 ) ) )
| ( ( sK1 @ sK8 @ X0 )
!= $true ) )
| ~ spl13_5
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f52,f1261]) ).
thf(f1261,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ~ spl13_5
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1253]) ).
thf(f1253,plain,
( ( $true != $true )
| ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ~ spl13_5
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f76,f92]) ).
thf(f92,plain,
( ( ( sK1 @ sK8 @ sK7 )
= $true )
| ~ spl13_8 ),
inference(avatar_component_clause,[status(thm)],[f90]) ).
thf(f76,plain,
( ! [X11: a,X12: a] :
( ( $true
!= ( sK1 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true ) )
| ~ spl13_5 ),
inference(avatar_component_clause,[status(thm)],[f75]) ).
thf(f1127,plain,
( spl13_83
| spl13_68
| ~ spl13_2
| ~ spl13_8 ),
inference(avatar_split_clause,[status(thm)],[f1117,f90,f63,f1017,f1124]) ).
thf(f63,definition,
( spl13_2
<=> ! [X9: a,X10: a] :
( ( $true
!= ( sK1 @ X9 @ X10 ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_2])],[avatar_definition]) ).
thf(f1117,plain,
( ! [X0: a] :
( ( ( sK1 @ sK8 @ X0 )
!= $true )
| ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK4 @ sK8 ) ) ) )
| ~ spl13_2
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f1116]) ).
thf(f1116,plain,
( ! [X0: a] :
( ( ( sK1 @ sK8 @ X0 )
!= $true )
| ( $true != $true )
| ( $true
= ( sK0 @ sK8 @ ( sK5 @ sK8 ) @ ( sK4 @ sK8 ) ) ) )
| ~ spl13_2
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f52,f1009]) ).
thf(f1009,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) )
| ~ spl13_2
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f998]) ).
thf(f998,plain,
( ( $true
= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK5 @ sK8 ) ) )
| ( $true != $true )
| ~ spl13_2
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f64,f965]) ).
thf(f965,plain,
( ( $true
= ( sK1 @ sK8 @ sK8 ) )
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f964]) ).
thf(f964,plain,
( ( $true
= ( sK1 @ sK8 @ sK8 ) )
| ( $true != $true )
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f957,f956]) ).
thf(f956,plain,
( ( $true
= ( sK1 @ sK7 @ sK8 ) )
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f954]) ).
thf(f954,plain,
( ( $true
= ( sK1 @ sK7 @ sK8 ) )
| ( $true != $true )
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f50,f92]) ).
thf(f957,plain,
( ! [X0: a] :
( ( $true
!= ( sK1 @ sK7 @ X0 ) )
| ( ( sK1 @ sK8 @ X0 )
= $true ) )
| ~ spl13_8 ),
inference(trivial_inequality_removal,[status(thm)],[f953]) ).
thf(f953,plain,
( ! [X0: a] :
( ( ( sK1 @ sK8 @ X0 )
= $true )
| ( $true
!= ( sK1 @ sK7 @ X0 ) )
| ( $true != $true ) )
| ~ spl13_8 ),
inference(superposition,[status(thm)],[f57,f92]) ).
thf(f57,plain,
! [X36: a,X34: a,X35: a] :
( ( $true
!= ( sK1 @ X36 @ X34 ) )
| ( $true
= ( sK1 @ X36 @ X35 ) )
| ( $true
!= ( sK1 @ X34 @ X35 ) ) ),
inference(definition_unfolding,[status(thm)],[f17,f37,f37,f37]) ).
thf(f17,plain,
! [X36: a,X34: a,X35: a] :
( ( ( sK3 @ X34 @ X35 )
!= $true )
| ( $true
= ( sK3 @ X36 @ X35 ) )
| ( $true
!= ( sK3 @ X36 @ X34 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f64,plain,
( ! [X10: a,X9: a] :
( ( $true
!= ( sK1 @ X9 @ X10 ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) ) )
| ~ spl13_2 ),
inference(avatar_component_clause,[status(thm)],[f63]) ).
thf(f1033,plain,
( ~ spl13_8
| ~ spl13_68 ),
inference(avatar_contradiction_clause,[status(thm)],[f1032]) ).
thf(f1032,plain,
( $false
| ~ spl13_8
| ~ spl13_68 ),
inference(trivial_inequality_removal,[status(thm)],[f1029]) ).
thf(f1029,plain,
( ( $true != $true )
| ~ spl13_8
| ~ spl13_68 ),
inference(superposition,[status(thm)],[f1018,f965]) ).
thf(f1018,plain,
( ! [X1: a] :
( $true
!= ( sK1 @ sK8 @ X1 ) )
| ~ spl13_68 ),
inference(avatar_component_clause,[status(thm)],[f1017]) ).
thf(f943,plain,
( ~ spl13_10
| ~ spl13_15
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[status(thm)],[f942]) ).
thf(f942,plain,
( $false
| ~ spl13_10
| ~ spl13_15
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f941]) ).
thf(f941,plain,
( ( $true = $false )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_16 ),
inference(backward_demodulation,[status(thm)],[f166,f940]) ).
thf(f940,plain,
( ( ( sK1 @ sK19 @ sK20 )
= $false )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f935]) ).
thf(f935,plain,
( ( ( sK1 @ sK19 @ sK20 )
= $false )
| ( $true = $false )
| ~ spl13_10
| ~ spl13_15
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f138,f895]) ).
thf(f895,plain,
( ( ( sK2 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) )
= $false )
| ~ spl13_15
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f890]) ).
thf(f890,plain,
( ( $true = $false )
| ( ( sK2 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) )
= $false )
| ~ spl13_15
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f275,f161]) ).
thf(f161,plain,
( ( ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) )
= $false )
| ~ spl13_15 ),
inference(avatar_component_clause,[status(thm)],[f159]) ).
thf(f159,definition,
( spl13_15
<=> ( ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl13_15])],[avatar_definition]) ).
thf(f275,plain,
( ! [X2: b,X1: b] :
( ( $true
= ( sK0 @ sK19 @ X1 @ X2 ) )
| ( ( sK2 @ sK19 @ X1 @ X2 )
= $false ) )
| ~ spl13_16 ),
inference(binary_proxy_clausification,[status(thm)],[f274]) ).
thf(f274,plain,
( ! [X2: b,X1: b] :
( ( sK0 @ sK19 @ X1 @ X2 )
= ( sK2 @ sK19 @ X1 @ X2 ) )
| ~ spl13_16 ),
inference(argument_congruence,[status(thm)],[f267]) ).
thf(f267,plain,
( ! [X1: b] :
( ( sK2 @ sK19 @ X1 )
= ( sK0 @ sK19 @ X1 ) )
| ~ spl13_16 ),
inference(argument_congruence,[status(thm)],[f253]) ).
thf(f253,plain,
( ( ( sK2 @ sK19 )
= ( sK0 @ sK19 ) )
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f252]) ).
thf(f252,plain,
( ( $true != $true )
| ( ( sK2 @ sK19 )
= ( sK0 @ sK19 ) )
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f54,f248]) ).
thf(f248,plain,
( ( $true
= ( sK1 @ sK19 @ sK19 ) )
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f247]) ).
thf(f247,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK19 @ sK19 ) )
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f240,f239]) ).
thf(f239,plain,
( ( $true
= ( sK1 @ sK20 @ sK19 ) )
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f237]) ).
thf(f237,plain,
( ( $true
= ( sK1 @ sK20 @ sK19 ) )
| ( $true != $true )
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f50,f166]) ).
thf(f240,plain,
( ! [X0: a] :
( ( $true
!= ( sK1 @ sK20 @ X0 ) )
| ( $true
= ( sK1 @ sK19 @ X0 ) ) )
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f236]) ).
thf(f236,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
= ( sK1 @ sK19 @ X0 ) )
| ( $true
!= ( sK1 @ sK20 @ X0 ) ) )
| ~ spl13_16 ),
inference(superposition,[status(thm)],[f57,f166]) ).
thf(f54,plain,
! [X28: a] :
( ( $true
!= ( sK1 @ X28 @ X28 ) )
| ( ( sK0 @ X28 )
= ( sK2 @ X28 ) ) ),
inference(definition_unfolding,[status(thm)],[f20,f37]) ).
thf(f20,plain,
! [X28: a] :
( ( ( sK0 @ X28 )
= ( sK2 @ X28 ) )
| ( $true
!= ( sK3 @ X28 @ X28 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f138,plain,
( ! [X2: a,X4: a] :
( ( $true
= ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X4 ) ) )
| ( ( sK1 @ X2 @ X4 )
= $false ) )
| ~ spl13_10 ),
inference(avatar_component_clause,[status(thm)],[f137]) ).
thf(f137,definition,
( spl13_10
<=> ! [X4: a,X2: a] :
( ( ( sK1 @ X2 @ X4 )
= $false )
| ( $true
= ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X4 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_10])],[avatar_definition]) ).
thf(f166,plain,
( ( $true
= ( sK1 @ sK19 @ sK20 ) )
| ~ spl13_16 ),
inference(avatar_component_clause,[status(thm)],[f164]) ).
thf(f164,definition,
( spl13_16
<=> ( $true
= ( sK1 @ sK19 @ sK20 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_16])],[avatar_definition]) ).
thf(f863,plain,
( ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[status(thm)],[f862]) ).
thf(f862,plain,
( $false
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f861]) ).
thf(f861,plain,
( ( $true = $false )
| ~ spl13_10
| ~ spl13_12
| ~ spl13_14 ),
inference(backward_demodulation,[status(thm)],[f157,f858]) ).
thf(f858,plain,
( ( ( sK1 @ sK17 @ sK18 )
= $false )
| ~ spl13_10
| ~ spl13_12 ),
inference(trivial_inequality_removal,[status(thm)],[f855]) ).
thf(f855,plain,
( ( $true = $false )
| ( ( sK1 @ sK17 @ sK18 )
= $false )
| ~ spl13_10
| ~ spl13_12 ),
inference(superposition,[status(thm)],[f138,f147]) ).
thf(f147,plain,
( ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ~ spl13_12 ),
inference(avatar_component_clause,[status(thm)],[f145]) ).
thf(f145,definition,
( spl13_12
<=> ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl13_12])],[avatar_definition]) ).
thf(f157,plain,
( ( $true
= ( sK1 @ sK17 @ sK18 ) )
| ~ spl13_14 ),
inference(avatar_component_clause,[status(thm)],[f155]) ).
thf(f155,definition,
( spl13_14
<=> ( $true
= ( sK1 @ sK17 @ sK18 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_14])],[avatar_definition]) ).
thf(f841,plain,
( ~ spl13_10
| ~ spl13_11
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f840]) ).
thf(f840,plain,
( $false
| ~ spl13_10
| ~ spl13_11
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f839]) ).
thf(f839,plain,
( ( $true = $false )
| ~ spl13_10
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[status(thm)],[f152,f838]) ).
thf(f838,plain,
( ( ( sK1 @ sK21 @ sK22 )
= $false )
| ~ spl13_10
| ~ spl13_11
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f835]) ).
thf(f835,plain,
( ( ( sK1 @ sK21 @ sK22 )
= $false )
| ( $true = $false )
| ~ spl13_10
| ~ spl13_11
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f819,f138]) ).
thf(f819,plain,
( ( ( sK2 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) )
= $false )
| ~ spl13_11
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f813]) ).
thf(f813,plain,
( ( $true = $false )
| ( ( sK2 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) )
= $false )
| ~ spl13_11
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f143,f674]) ).
thf(f674,plain,
( ! [X2: b,X1: b] :
( ( $true
= ( sK0 @ sK21 @ X1 @ X2 ) )
| ( ( sK2 @ sK21 @ X1 @ X2 )
= $false ) )
| ~ spl13_13 ),
inference(binary_proxy_clausification,[status(thm)],[f673]) ).
thf(f673,plain,
( ! [X2: b,X1: b] :
( ( sK0 @ sK21 @ X1 @ X2 )
= ( sK2 @ sK21 @ X1 @ X2 ) )
| ~ spl13_13 ),
inference(argument_congruence,[status(thm)],[f646]) ).
thf(f646,plain,
( ! [X1: b] :
( ( sK0 @ sK21 @ X1 )
= ( sK2 @ sK21 @ X1 ) )
| ~ spl13_13 ),
inference(argument_congruence,[status(thm)],[f632]) ).
thf(f632,plain,
( ( ( sK0 @ sK21 )
= ( sK2 @ sK21 ) )
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f631]) ).
thf(f631,plain,
( ( $true != $true )
| ( ( sK0 @ sK21 )
= ( sK2 @ sK21 ) )
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f54,f627]) ).
thf(f627,plain,
( ( $true
= ( sK1 @ sK21 @ sK21 ) )
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f626]) ).
thf(f626,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK21 @ sK21 ) )
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f610,f611]) ).
thf(f611,plain,
( ( $true
= ( sK1 @ sK22 @ sK21 ) )
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f608]) ).
thf(f608,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK22 @ sK21 ) )
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f50,f152]) ).
thf(f610,plain,
( ! [X0: a] :
( ( $true
!= ( sK1 @ sK22 @ X0 ) )
| ( $true
= ( sK1 @ sK21 @ X0 ) ) )
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f607]) ).
thf(f607,plain,
( ! [X0: a] :
( ( $true != $true )
| ( $true
= ( sK1 @ sK21 @ X0 ) )
| ( $true
!= ( sK1 @ sK22 @ X0 ) ) )
| ~ spl13_13 ),
inference(superposition,[status(thm)],[f57,f152]) ).
thf(f143,plain,
( ( ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) )
= $false )
| ~ spl13_11 ),
inference(avatar_component_clause,[status(thm)],[f141]) ).
thf(f141,definition,
( spl13_11
<=> ( ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl13_11])],[avatar_definition]) ).
thf(f152,plain,
( ( $true
= ( sK1 @ sK21 @ sK22 ) )
| ~ spl13_13 ),
inference(avatar_component_clause,[status(thm)],[f150]) ).
thf(f150,definition,
( spl13_13
<=> ( $true
= ( sK1 @ sK21 @ sK22 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_13])],[avatar_definition]) ).
thf(f656,plain,
( ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f655]) ).
thf(f655,plain,
( $false
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(trivial_inequality_removal,[status(thm)],[f654]) ).
thf(f654,plain,
( ( $true = $false )
| ~ spl13_9
| ~ spl13_11
| ~ spl13_13 ),
inference(backward_demodulation,[status(thm)],[f152,f653]) ).
thf(f653,plain,
( ( ( sK1 @ sK21 @ sK22 )
= $false )
| ~ spl13_9
| ~ spl13_11 ),
inference(trivial_inequality_removal,[status(thm)],[f649]) ).
thf(f649,plain,
( ( $true = $false )
| ( ( sK1 @ sK21 @ sK22 )
= $false )
| ~ spl13_9
| ~ spl13_11 ),
inference(superposition,[status(thm)],[f135,f143]) ).
thf(f135,plain,
( ! [X3: a,X1: a] :
( ( $true
= ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
| ( ( sK1 @ X1 @ X3 )
= $false ) )
| ~ spl13_9 ),
inference(avatar_component_clause,[status(thm)],[f134]) ).
thf(f134,definition,
( spl13_9
<=> ! [X1: a,X3: a] :
( ( ( sK1 @ X1 @ X3 )
= $false )
| ( $true
= ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_9])],[avatar_definition]) ).
thf(f605,plain,
( ~ spl13_9
| ~ spl13_12
| ~ spl13_14 ),
inference(avatar_contradiction_clause,[status(thm)],[f604]) ).
thf(f604,plain,
( $false
| ~ spl13_9
| ~ spl13_12
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f603]) ).
thf(f603,plain,
( ( $true = $false )
| ~ spl13_9
| ~ spl13_12
| ~ spl13_14 ),
inference(backward_demodulation,[status(thm)],[f157,f598]) ).
thf(f598,plain,
( ( ( sK1 @ sK17 @ sK18 )
= $false )
| ~ spl13_9
| ~ spl13_12
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f589]) ).
thf(f589,plain,
( ( ( sK1 @ sK17 @ sK18 )
= $false )
| ( $true = $false )
| ~ spl13_9
| ~ spl13_12
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f135,f584]) ).
thf(f584,plain,
( ( ( sK0 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ~ spl13_12
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f582]) ).
thf(f582,plain,
( ( $true = $false )
| ( ( sK0 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ~ spl13_12
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f147,f339]) ).
thf(f339,plain,
( ! [X2: b,X1: b] :
( ( $true
= ( sK2 @ sK17 @ X1 @ X2 ) )
| ( ( sK0 @ sK17 @ X1 @ X2 )
= $false ) )
| ~ spl13_14 ),
inference(binary_proxy_clausification,[status(thm)],[f337]) ).
thf(f337,plain,
( ! [X2: b,X1: b] :
( ( sK0 @ sK17 @ X1 @ X2 )
= ( sK2 @ sK17 @ X1 @ X2 ) )
| ~ spl13_14 ),
inference(argument_congruence,[status(thm)],[f331]) ).
thf(f331,plain,
( ! [X1: b] :
( ( sK0 @ sK17 @ X1 )
= ( sK2 @ sK17 @ X1 ) )
| ~ spl13_14 ),
inference(argument_congruence,[status(thm)],[f317]) ).
thf(f317,plain,
( ( ( sK2 @ sK17 )
= ( sK0 @ sK17 ) )
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f316]) ).
thf(f316,plain,
( ( ( sK2 @ sK17 )
= ( sK0 @ sK17 ) )
| ( $true != $true )
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f54,f312]) ).
thf(f312,plain,
( ( $true
= ( sK1 @ sK17 @ sK17 ) )
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f311]) ).
thf(f311,plain,
( ( $true != $true )
| ( $true
= ( sK1 @ sK17 @ sK17 ) )
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f295,f294]) ).
thf(f294,plain,
( ( $true
= ( sK1 @ sK18 @ sK17 ) )
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f293]) ).
thf(f293,plain,
( ( $true
= ( sK1 @ sK18 @ sK17 ) )
| ( $true != $true )
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f50,f157]) ).
thf(f295,plain,
( ! [X0: a] :
( ( $true
!= ( sK1 @ sK18 @ X0 ) )
| ( $true
= ( sK1 @ sK17 @ X0 ) ) )
| ~ spl13_14 ),
inference(trivial_inequality_removal,[status(thm)],[f292]) ).
thf(f292,plain,
( ! [X0: a] :
( ( $true
!= ( sK1 @ sK18 @ X0 ) )
| ( $true != $true )
| ( $true
= ( sK1 @ sK17 @ X0 ) ) )
| ~ spl13_14 ),
inference(superposition,[status(thm)],[f57,f157]) ).
thf(f397,plain,
( ~ spl13_4
| ~ spl13_21 ),
inference(avatar_contradiction_clause,[status(thm)],[f396]) ).
thf(f396,plain,
( $false
| ~ spl13_4
| ~ spl13_21 ),
inference(trivial_inequality_removal,[status(thm)],[f392]) ).
thf(f392,plain,
( ( $true != $true )
| ~ spl13_4
| ~ spl13_21 ),
inference(superposition,[status(thm)],[f362,f173]) ).
thf(f362,plain,
( ! [X3: a] :
( $true
!= ( sK1 @ sK12 @ X3 ) )
| ~ spl13_21 ),
inference(avatar_component_clause,[status(thm)],[f361]) ).
thf(f361,definition,
( spl13_21
<=> ! [X3: a] :
( $true
!= ( sK1 @ sK12 @ X3 ) ) ),
introduced(definition,[new_symbols(naming,[spl13_21])],[avatar_definition]) ).
thf(f367,plain,
( spl13_22
| spl13_21
| ~ spl13_4 ),
inference(avatar_split_clause,[status(thm)],[f354,f71,f361,f365]) ).
thf(f354,plain,
( ! [X2: a,X0: b,X1: b] :
( ( ( sK0 @ sK11 @ X0 @ X1 )
= $false )
| ( $true
!= ( sK1 @ sK12 @ X2 ) )
| ( $true
= ( sK0 @ sK12 @ X1 @ X0 ) ) )
| ~ spl13_4 ),
inference(trivial_inequality_removal,[status(thm)],[f351]) ).
thf(f351,plain,
( ! [X2: a,X0: b,X1: b] :
( ( $true
= ( sK0 @ sK12 @ X1 @ X0 ) )
| ( $true != $true )
| ( ( sK0 @ sK11 @ X0 @ X1 )
= $false )
| ( $true
!= ( sK1 @ sK12 @ X2 ) ) )
| ~ spl13_4 ),
inference(superposition,[status(thm)],[f52,f204]) ).
thf(f204,plain,
( ! [X2: b,X1: b] :
( ( $true
= ( sK0 @ sK12 @ X1 @ X2 ) )
| ( ( sK0 @ sK11 @ X1 @ X2 )
= $false ) )
| ~ spl13_4 ),
inference(binary_proxy_clausification,[status(thm)],[f202]) ).
thf(f290,plain,
( ~ spl13_9
| ~ spl13_15
| ~ spl13_16 ),
inference(avatar_contradiction_clause,[status(thm)],[f289]) ).
thf(f289,plain,
( $false
| ~ spl13_9
| ~ spl13_15
| ~ spl13_16 ),
inference(trivial_inequality_removal,[status(thm)],[f288]) ).
thf(f288,plain,
( ( $true = $false )
| ~ spl13_9
| ~ spl13_15
| ~ spl13_16 ),
inference(backward_demodulation,[status(thm)],[f166,f287]) ).
thf(f287,plain,
( ( ( sK1 @ sK19 @ sK20 )
= $false )
| ~ spl13_9
| ~ spl13_15 ),
inference(trivial_inequality_removal,[status(thm)],[f280]) ).
thf(f280,plain,
( ( ( sK1 @ sK19 @ sK20 )
= $false )
| ( $true = $false )
| ~ spl13_9
| ~ spl13_15 ),
inference(superposition,[status(thm)],[f135,f161]) ).
thf(f167,plain,
( spl13_16
| spl13_14
| spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f116,f59,f155,f164]) ).
thf(f59,definition,
( spl13_1
<=> ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl13_1])],[avatar_definition]) ).
thf(f116,plain,
( ( $true
= ( sK1 @ sK19 @ sK20 ) )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f114]) ).
thf(f114,plain,
( ( $true
= ( sK1 @ sK17 @ sK18 ) )
| ( ( ( sK1 @ sK19 @ sK20 )
=> ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) ) )
= $false )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f113]) ).
thf(f113,plain,
( ( ( ^ [Y0: a] :
( ( sK1 @ sK19 @ Y0 )
=> ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ Y0 ) ) )
@ sK20 )
= $false )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f112]) ).
thf(f112,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK19 @ Y0 )
=> ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ Y0 ) ) ) )
= $false )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f111]) ).
thf(f111,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) )
@ sK19 )
= $false )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f110]) ).
thf(f110,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f108]) ).
thf(f108,plain,
( ( ( ( sK1 @ sK17 @ sK18 )
=> ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f107]) ).
thf(f107,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| ( ( ^ [Y0: a] :
( ( sK1 @ sK17 @ Y0 )
=> ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ Y0 ) ) )
@ sK18 )
= $false )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f106]) ).
thf(f106,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK17 @ Y0 )
=> ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ Y0 ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f105]) ).
thf(f105,plain,
( ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) )
@ sK17 )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f104]) ).
thf(f104,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f102]) ).
thf(f102,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
!= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f101]) ).
thf(f101,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK15 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK16 )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK0 @ Y1 @ ( sK15 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) )
@ sK16 ) )
| spl13_1 ),
inference(negative_extensionality,[status(thm)],[f100]) ).
thf(f100,plain,
( ( ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK2 @ Y1 @ ( sK15 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) )
!= ( ^ [Y0: a > b] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( sK1 @ Y1 @ Y2 )
=> ( sK0 @ Y1 @ ( sK15 @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f99]) ).
thf(f99,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK15 )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) )
@ sK15 ) )
| spl13_1 ),
inference(negative_extensionality,[status(thm)],[f61]) ).
thf(f61,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| spl13_1 ),
inference(avatar_component_clause,[status(thm)],[f59]) ).
thf(f162,plain,
( spl13_14
| spl13_15
| spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f115,f59,f159,f155]) ).
thf(f115,plain,
( ( ( sK0 @ sK19 @ ( sK15 @ sK19 ) @ ( sK16 @ sK20 ) )
= $false )
| ( $true
= ( sK1 @ sK17 @ sK18 ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f114]) ).
thf(f153,plain,
( spl13_13
| spl13_12
| spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f122,f59,f145,f150]) ).
thf(f122,plain,
( ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ( $true
= ( sK1 @ sK21 @ sK22 ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f120]) ).
thf(f120,plain,
( ( ( ( sK1 @ sK21 @ sK22 )
=> ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) ) )
= $false )
| ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f119]) ).
thf(f119,plain,
( ( ( ^ [Y0: a] :
( ( sK1 @ sK21 @ Y0 )
=> ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ Y0 ) ) )
@ sK22 )
= $false )
| ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f118]) ).
thf(f118,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ sK21 @ Y0 )
=> ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ Y0 ) ) ) )
= $false )
| ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f117]) ).
thf(f117,plain,
( ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ( ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) )
@ sK21 )
= $false )
| spl13_1 ),
inference(sigma_clausification,[status(thm)],[f109]) ).
thf(f109,plain,
( ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $false )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f108]) ).
thf(f148,plain,
( spl13_11
| spl13_12
| spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f121,f59,f145,f141]) ).
thf(f121,plain,
( ( ( sK2 @ sK17 @ ( sK15 @ sK17 ) @ ( sK16 @ sK18 ) )
= $false )
| ( ( sK0 @ sK21 @ ( sK15 @ sK21 ) @ ( sK16 @ sK22 ) )
= $false )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f120]) ).
thf(f139,plain,
( spl13_9
| spl13_10
| spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f132,f59,f137,f134]) ).
thf(f132,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( ( sK1 @ X1 @ X3 )
= $false )
| ( $true
= ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
| ( ( sK1 @ X2 @ X4 )
= $false )
| ( $true
= ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X4 ) ) ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f131]) ).
thf(f131,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( $true
= ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
| ( $true
= ( ( sK1 @ X2 @ X4 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X4 ) ) ) )
| ( ( sK1 @ X1 @ X3 )
= $false ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f130]) ).
thf(f130,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( ( ( sK1 @ X1 @ X3 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
= $true )
| ( $true
= ( ( sK1 @ X2 @ X4 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ X4 ) ) ) ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f129]) ).
thf(f129,plain,
( ! [X2: a,X3: a,X1: a,X4: a] :
( ( ( ( sK1 @ X1 @ X3 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
= $true )
| ( $true
= ( ^ [Y0: a] :
( ( sK1 @ X2 @ Y0 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ Y0 ) ) )
@ X4 ) ) )
| spl13_1 ),
inference(pi_clausification,[status(thm)],[f128]) ).
thf(f128,plain,
( ! [X2: a,X3: a,X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X2 @ Y0 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ Y0 ) ) ) ) )
| ( ( ( sK1 @ X1 @ X3 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ X3 ) ) )
= $true ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f127]) ).
thf(f127,plain,
( ! [X2: a,X3: a,X1: a] :
( ( ( ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ Y0 ) ) )
@ X3 )
= $true )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X2 @ Y0 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ Y0 ) ) ) ) ) )
| spl13_1 ),
inference(pi_clausification,[status(thm)],[f126]) ).
thf(f126,plain,
( ! [X2: a,X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ Y0 ) ) ) ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X2 @ Y0 )
=> ( sK2 @ X2 @ ( sK15 @ X2 ) @ ( sK16 @ Y0 ) ) ) ) ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f125]) ).
thf(f125,plain,
( ! [X2: a,X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ Y0 ) ) ) ) )
| ( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) )
@ X2 ) ) )
| spl13_1 ),
inference(pi_clausification,[status(thm)],[f124]) ).
thf(f124,plain,
( ! [X1: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( sK1 @ X1 @ Y0 )
=> ( sK0 @ X1 @ ( sK15 @ X1 ) @ ( sK16 @ Y0 ) ) ) ) ) )
| spl13_1 ),
inference(beta_eta_normalization,[status(thm)],[f123]) ).
thf(f123,plain,
( ! [X1: a] :
( ( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) )
@ X1 ) )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) ) ) )
| spl13_1 ),
inference(pi_clausification,[status(thm)],[f103]) ).
thf(f103,plain,
( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK0 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) )
= $true )
| ( $true
= ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( sK1 @ Y0 @ Y1 )
=> ( sK2 @ Y0 @ ( sK15 @ Y0 ) @ ( sK16 @ Y1 ) ) ) ) ) )
| spl13_1 ),
inference(binary_proxy_clausification,[status(thm)],[f102]) ).
thf(f98,plain,
( ~ spl13_7
| spl13_4
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f42,f59,f71,f85]) ).
thf(f42,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( $true
= ( sK1 @ sK11 @ sK12 ) ) ),
inference(definition_unfolding,[status(thm)],[f32,f37,f37]) ).
thf(f32,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( $true
= ( sK3 @ sK11 @ sK12 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f97,plain,
( spl13_8
| ~ spl13_1
| ~ spl13_3 ),
inference(avatar_split_clause,[status(thm)],[f40,f66,f59,f90]) ).
thf(f40,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) )
| ( ( sK1 @ sK8 @ sK7 )
= $true ) ),
inference(definition_unfolding,[status(thm)],[f34,f37,f37]) ).
thf(f34,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK3 @ sK8 @ sK7 ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f96,plain,
( spl13_4
| spl13_2
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f45,f59,f63,f71]) ).
thf(f45,plain,
! [X10: a,X9: a] :
( ( $true
!= ( sK1 @ X9 @ X10 ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
= ( sK1 @ sK11 @ sK12 ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f29,f37,f37,f37]) ).
thf(f29,plain,
! [X10: a,X9: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) )
| ( $true
= ( sK3 @ sK11 @ sK12 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f95,plain,
( spl13_6
| spl13_8
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f38,f59,f90,f79]) ).
thf(f38,plain,
! [X16: a,X15: a] :
( ( $true
!= ( sK1 @ X15 @ X16 ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ( sK1 @ sK8 @ sK7 )
= $true )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f36,f37,f37,f37]) ).
thf(f36,plain,
! [X16: a,X15: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK3 @ sK8 @ sK7 ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f94,plain,
( ~ spl13_1
| ~ spl13_7
| ~ spl13_3 ),
inference(avatar_split_clause,[status(thm)],[f43,f66,f85,f59]) ).
thf(f43,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f31,f37]) ).
thf(f31,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f93,plain,
( spl13_4
| spl13_8
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f39,f59,f90,f71]) ).
thf(f39,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK1 @ sK11 @ sK12 ) )
| ( ( sK1 @ sK8 @ sK7 )
= $true ) ),
inference(definition_unfolding,[status(thm)],[f35,f37,f37,f37]) ).
thf(f35,plain,
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK3 @ sK8 @ sK7 ) )
| ( $true
= ( sK3 @ sK11 @ sK12 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f88,plain,
( spl13_6
| ~ spl13_7
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f41,f59,f85,f79]) ).
thf(f41,plain,
! [X16: a,X15: a] :
( ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( $true
!= ( sK1 @ X15 @ X16 ) ) ),
inference(definition_unfolding,[status(thm)],[f33,f37,f37]) ).
thf(f33,plain,
! [X16: a,X15: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK0 @ sK8 @ ( sK4 @ sK8 ) @ ( sK6 @ sK7 ) ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f83,plain,
( ~ spl13_1
| spl13_6
| spl13_2 ),
inference(avatar_split_clause,[status(thm)],[f44,f63,f79,f59]) ).
thf(f44,plain,
! [X10: a,X9: a,X16: a,X15: a] :
( ( $true
!= ( sK1 @ X15 @ X16 ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( $true
!= ( sK1 @ X9 @ X10 ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f30,f37,f37,f37]) ).
thf(f30,plain,
! [X10: a,X9: a,X16: a,X15: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f82,plain,
( ~ spl13_3
| spl13_5
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f49,f59,f75,f66]) ).
thf(f49,plain,
! [X11: a,X12: a] :
( ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK1 @ X12 @ X11 ) ) ),
inference(definition_unfolding,[status(thm)],[f25,f37,f37]) ).
thf(f25,plain,
! [X11: a,X12: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f81,plain,
( ~ spl13_1
| spl13_5
| spl13_6 ),
inference(avatar_split_clause,[status(thm)],[f47,f79,f75,f59]) ).
thf(f47,plain,
! [X11: a,X16: a,X15: a,X12: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true )
| ( $true
!= ( sK1 @ X12 @ X11 ) )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( $true
!= ( sK1 @ X15 @ X16 ) ) ),
inference(definition_unfolding,[status(thm)],[f27,f37,f37,f37]) ).
thf(f27,plain,
! [X11: a,X16: a,X15: a,X12: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true )
| ( $true
= ( sK0 @ X15 @ ( sK9 @ X15 ) @ ( sK10 @ X16 ) ) )
| ( ( sK3 @ X15 @ X16 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f77,plain,
( spl13_4
| spl13_5
| ~ spl13_1 ),
inference(avatar_split_clause,[status(thm)],[f48,f59,f75,f71]) ).
thf(f48,plain,
! [X11: a,X12: a] :
( ( $true
= ( sK1 @ sK11 @ sK12 ) )
| ( $true
!= ( sK1 @ X12 @ X11 ) )
| ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true ) ),
inference(definition_unfolding,[status(thm)],[f26,f37,f37,f37]) ).
thf(f26,plain,
! [X11: a,X12: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK3 @ X12 @ X11 ) )
| ( ( sK0 @ X12 @ ( sK5 @ X12 ) @ ( sK6 @ X11 ) )
= $true )
| ( $true
= ( sK3 @ sK11 @ sK12 ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
thf(f69,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_3 ),
inference(avatar_split_clause,[status(thm)],[f46,f66,f63,f59]) ).
thf(f46,plain,
! [X10: a,X9: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
!= ( sK1 @ X9 @ X10 ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f28,f37,f37]) ).
thf(f28,plain,
! [X10: a,X9: a] :
( ( ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK1 @ Y2 @ Y3 )
=> ( sK2 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) )
!= ( ^ [Y0: a > b,Y1: a > b] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( sK3 @ Y2 @ Y3 )
=> ( sK0 @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) )
| ( $true
= ( sK0 @ X9 @ ( sK4 @ X9 ) @ ( sK5 @ X10 ) ) )
| ( $true
!= ( sK3 @ X9 @ X10 ) )
| ( $true
!= ( sK0 @ sK11 @ ( sK10 @ sK11 ) @ ( sK9 @ sK12 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV041^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 12:39:06 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.46 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : SEV041^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.46 % Domain : Set Theory (Relations)
% 0.30/0.46 % Problem : TPS problem from EQUIVALENCE-RELATIONS-THMS
% 0.30/0.46 % Version : Especial.
% 0.30/0.46 % English :
% 0.30/0.46
% 0.30/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Bro09]
% 0.30/0.46 % Names : tps_1215 [Bro09]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.56 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.69 v8.1.0, 0.82 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.60 v5.2.0, 0.80 v5.1.0, 1.00 v5.0.0, 0.80 v4.1.0, 0.67 v4.0.1, 1.00 v4.0.0
% 0.30/0.46 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.30/0.46 % Number of atoms : 4 ( 4 equ; 0 cnn)
% 0.30/0.46 % Maximal formula atoms : 4 ( 4 avg)
% 0.30/0.46 % Number of connectives : 129 ( 0 ~; 0 |; 12 &; 97 @)
% 0.30/0.46 % ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 21 ( 21 avg)
% 0.30/0.46 % Number of types : 3 ( 2 usr)
% 0.30/0.46 % Number of type conns : 19 ( 19 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.30/0.46 % Number of variables : 45 ( 4 ^; 41 !; 0 ?; 45 :)
% 0.30/0.46 % SPC : TH0_THM_EQU_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 thf(a_type,type,
% 0.30/0.46 a: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(b_type,type,
% 0.30/0.46 b: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(cTHM517_pme,conjecture,
% 0.30/0.46 ! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o,Xs: a > b > b > $o] :
% 0.30/0.46 ( ( ! [Xx: a,Xy: a] :
% 0.30/0.46 ( ( Xp @ Xx @ Xy )
% 0.30/0.46 => ( Xp @ Xy @ Xx ) )
% 0.30/0.46 & ! [Xx: a,Xy: a,Xz: a] :
% 0.30/0.46 ( ( ( Xp @ Xx @ Xy )
% 0.30/0.46 & ( Xp @ Xy @ Xz ) )
% 0.30/0.46 => ( Xp @ Xx @ Xz ) )
% 0.30/0.46 & ( Xp = Xq ) )
% 0.30/0.46 => ( ! [Xx: a,Xy: a] :
% 0.30/0.46 ( ( Xp @ Xx @ Xy )
% 0.30/0.46 => ( ! [Xx0: b,Xy0: b] :
% 0.30/0.46 ( ( Xr @ Xx @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx @ Xy0 @ Xx0 ) )
% 0.30/0.46 & ! [Xx0: b,Xy0: b,Xz: b] :
% 0.30/0.46 ( ( ( Xr @ Xx @ Xx0 @ Xy0 )
% 0.30/0.46 & ( Xr @ Xx @ Xy0 @ Xz ) )
% 0.30/0.46 => ( Xr @ Xx @ Xx0 @ Xz ) )
% 0.30/0.46 & ( ( Xr @ Xx )
% 0.30/0.46 = ( Xr @ Xy ) ) ) )
% 0.30/0.46 => ( ! [Xx: a] :
% 0.30/0.46 ( ( Xp @ Xx @ Xx )
% 0.30/0.46 => ( ! [Xx0: b,Xy: b] :
% 0.30/0.46 ( ( Xr @ Xx @ Xx0 @ Xy )
% 0.30/0.46 => ( Xr @ Xx @ Xy @ Xx0 ) )
% 0.30/0.46 & ! [Xx0: b,Xy: b,Xz: b] :
% 0.30/0.46 ( ( ( Xr @ Xx @ Xx0 @ Xy )
% 0.30/0.46 & ( Xr @ Xx @ Xy @ Xz ) )
% 0.30/0.46 => ( Xr @ Xx @ Xx0 @ Xz ) )
% 0.30/0.46 & ( ( Xr @ Xx )
% 0.30/0.46 = ( Xs @ Xx ) ) ) )
% 0.30/0.46 => ( ! [Xx: a > b,Xy: a > b] :
% 0.30/0.46 ( ! [Xx0: a,Xy0: a] :
% 0.30/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 0.30/0.46 => ! [Xx0: a,Xy0: a] :
% 0.30/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
% 0.30/0.46 & ! [Xx: a > b,Xy: a > b,Xz: a > b] :
% 0.30/0.46 ( ( ! [Xx0: a,Xy0: a] :
% 0.30/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 0.30/0.46 & ! [Xx0: a,Xy0: a] :
% 0.30/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
% 0.30/0.46 => ! [Xx0: a,Xy0: a] :
% 0.30/0.46 ( ( Xp @ Xx0 @ Xy0 )
% 0.30/0.46 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
% 0.30/0.46 & ( ( ^ [Xf: a > b,Xg: a > b] :
% 0.30/0.46 ! [Xx: a,Xy: a] :
% 0.30/0.46 ( ( Xp @ Xx @ Xy )
% 0.30/0.46 => ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
% 0.30/0.46 = ( ^ [Xf: a > b,Xg: a > b] :
% 0.30/0.46 ! [Xx: a,Xy: a] :
% 0.30/0.46 ( ( Xq @ Xx @ Xy )
% 0.30/0.46 => ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.70/1.30 ---- Embedded in THF ---
% 1.70/1.31 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.70/1.31 %%% Generated on Tue Feb 24 12:39:07 EST 2026
% 1.70/1.31 %%% using '$$dhol' embedding, version 1.3.0.
% 1.70/1.31 %%% Logic specification used:
% 1.70/1.31 %%% thf(spec, logic, $$dhol).
% 1.70/1.31
% 1.70/1.31 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.F6nncC3dEj/DTF2DTF14609.p
% See solution above
% 1.70/1.31 ------------------------
% 1.70/1.32 ---- Cleaned THF ---
% 1.70/1.32 thf(a_type,type,
% 1.70/1.32 a: $tType ).
% 1.70/1.32
% 1.70/1.32 thf(b_type,type,
% 1.70/1.32 b: $tType ).
% 1.70/1.32
% 1.70/1.32 thf(cTHM517_pme,conjecture,
% 1.70/1.32 ! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o,Xs: a > b > b > $o] :
% 1.70/1.32 ( ( ! [Xx: a,Xy: a] :
% 1.70/1.32 ( ( Xp @ Xx @ Xy )
% 1.70/1.32 => ( Xp @ Xy @ Xx ) )
% 1.70/1.32 & ! [Xx: a,Xy: a,Xz: a] :
% 1.70/1.32 ( ( ( Xp @ Xx @ Xy )
% 1.70/1.32 & ( Xp @ Xy @ Xz ) )
% 1.70/1.32 => ( Xp @ Xx @ Xz ) )
% 1.70/1.32 & ( Xp = Xq ) )
% 1.70/1.32 => ( ! [Xx: a,Xy: a] :
% 1.70/1.32 ( ( Xp @ Xx @ Xy )
% 1.70/1.32 => ( ! [Xx0: b,Xy0: b] :
% 1.70/1.32 ( ( Xr @ Xx @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx @ Xy0 @ Xx0 ) )
% 1.70/1.32 & ! [Xx0: b,Xy0: b,Xz: b] :
% 1.70/1.32 ( ( ( Xr @ Xx @ Xx0 @ Xy0 )
% 1.70/1.32 & ( Xr @ Xx @ Xy0 @ Xz ) )
% 1.70/1.32 => ( Xr @ Xx @ Xx0 @ Xz ) )
% 1.70/1.32 & ( ( Xr @ Xx )
% 1.70/1.32 = ( Xr @ Xy ) ) ) )
% 1.70/1.32 => ( ! [Xx: a] :
% 1.70/1.32 ( ( Xp @ Xx @ Xx )
% 1.70/1.32 => ( ! [Xx0: b,Xy: b] :
% 1.70/1.32 ( ( Xr @ Xx @ Xx0 @ Xy )
% 1.70/1.32 => ( Xr @ Xx @ Xy @ Xx0 ) )
% 1.70/1.32 & ! [Xx0: b,Xy: b,Xz: b] :
% 1.70/1.32 ( ( ( Xr @ Xx @ Xx0 @ Xy )
% 1.70/1.32 & ( Xr @ Xx @ Xy @ Xz ) )
% 1.70/1.32 => ( Xr @ Xx @ Xx0 @ Xz ) )
% 1.70/1.32 & ( ( Xr @ Xx )
% 1.70/1.32 = ( Xs @ Xx ) ) ) )
% 1.70/1.32 => ( ! [Xx: a > b,Xy: a > b] :
% 1.70/1.32 ( ! [Xx0: a,Xy0: a] :
% 1.70/1.32 ( ( Xp @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 1.70/1.32 => ! [Xx0: a,Xy0: a] :
% 1.70/1.32 ( ( Xp @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
% 1.70/1.32 & ! [Xx: a > b,Xy: a > b,Xz: a > b] :
% 1.70/1.32 ( ( ! [Xx0: a,Xy0: a] :
% 1.70/1.32 ( ( Xp @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
% 1.70/1.32 & ! [Xx0: a,Xy0: a] :
% 1.70/1.32 ( ( Xp @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
% 1.70/1.32 => ! [Xx0: a,Xy0: a] :
% 1.70/1.32 ( ( Xp @ Xx0 @ Xy0 )
% 1.70/1.32 => ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
% 1.70/1.32 & ( ( ^ [Xf: a > b,Xg: a > b] :
% 1.70/1.32 ! [Xx: a,Xy: a] :
% 1.70/1.32 ( ( Xp @ Xx @ Xy )
% 1.70/1.32 => ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
% 1.70/1.32 = ( ^ [Xf: a > b,Xg: a > b] :
% 1.70/1.32 ! [Xx: a,Xy: a] :
% 1.70/1.32 ( ( Xq @ Xx @ Xy )
% 1.70/1.32 => ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ) ).
% 1.70/1.32 ------------------------
% 1.70/1.33 % (14804)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_14609 for (2999ds/275Mi)
% 1.70/1.33 % (14801)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_14609 for (2999ds/27Mi)
% 1.70/1.33 % (14799)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/183Mi)
% 1.70/1.33 % (14802)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/2Mi)
% 1.70/1.34 % (14802)Instruction limit reached!
% 1.70/1.34 % (14802)------------------------------
% 1.70/1.34 % (14802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.34 % (14802)Termination reason: Unknown
% 1.70/1.34 % (14802)Termination phase: shuffling
% 1.70/1.34
% 1.70/1.34 % (14802)Memory used [KB]: 1023
% 1.70/1.34 % (14802)Time elapsed: 0.002 s
% 1.70/1.34 % (14802)Instructions burned: 2 (million)
% 1.70/1.34 % (14802)------------------------------
% 1.70/1.34 % (14802)------------------------------
% 1.70/1.34 % (14803)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_14609 for (2999ds/2Mi)
% 1.70/1.34 % (14805)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/18Mi)
% 1.70/1.34 % (14803)Instruction limit reached!
% 1.70/1.34 % (14803)------------------------------
% 1.70/1.34 % (14803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.34 % (14803)Termination reason: Unknown
% 1.70/1.34 % (14803)Termination phase: shuffling
% 1.70/1.34
% 1.70/1.34 % (14803)Memory used [KB]: 1023
% 1.70/1.34 % (14803)Time elapsed: 0.003 s
% 1.70/1.34 % (14803)Instructions burned: 2 (million)
% 1.70/1.34 % (14803)------------------------------
% 1.70/1.34 % (14803)------------------------------
% 1.70/1.34 % (14800)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_14609 for (2999ds/4Mi)
% 1.70/1.35 % (14811)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/3Mi)
% 1.70/1.35 % (14811)Instruction limit reached!
% 1.70/1.35 % (14811)------------------------------
% 1.70/1.35 % (14811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.35 % (14811)Termination reason: Unknown
% 1.70/1.35 % (14811)Termination phase: Preprocessing 2
% 1.70/1.35
% 1.70/1.35 % (14811)Memory used [KB]: 1023
% 1.70/1.35 % (14811)Time elapsed: 0.002 s
% 1.70/1.35 % (14811)Instructions burned: 3 (million)
% 1.70/1.35 % (14811)------------------------------
% 1.70/1.35 % (14811)------------------------------
% 1.70/1.35 % (14800)Instruction limit reached!
% 1.70/1.35 % (14800)------------------------------
% 1.70/1.35 % (14800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.35 % (14800)Termination reason: Unknown
% 1.70/1.35 % (14800)Termination phase: Preprocessing 3
% 1.70/1.35
% 1.70/1.35 % (14800)Memory used [KB]: 1023
% 1.70/1.35 % (14800)Time elapsed: 0.005 s
% 1.70/1.35 % (14800)Instructions burned: 4 (million)
% 1.70/1.35 % (14800)------------------------------
% 1.70/1.35 % (14800)------------------------------
% 1.70/1.36 % (14821)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_14609 for (2999ds/37Mi)
% 1.70/1.36 % (14801)Instruction limit reached!
% 1.70/1.36 % (14801)------------------------------
% 1.70/1.36 % (14801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.36 % (14801)Termination reason: Unknown
% 1.70/1.36 % (14801)Termination phase: Saturation
% 1.70/1.36
% 1.70/1.36 % (14801)Memory used [KB]: 5756
% 1.70/1.36 % (14801)Time elapsed: 0.023 s
% 1.70/1.36 % (14801)Instructions burned: 28 (million)
% 1.70/1.36 % (14801)------------------------------
% 1.70/1.36 % (14801)------------------------------
% 1.70/1.36 % (14805)Instruction limit reached!
% 1.70/1.36 % (14805)------------------------------
% 1.70/1.36 % (14805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.36 % (14805)Termination reason: Unknown
% 1.70/1.36 % (14805)Termination phase: Saturation
% 1.70/1.36
% 1.70/1.36 % (14805)Memory used [KB]: 5628
% 1.70/1.36 % (14805)Time elapsed: 0.019 s
% 1.70/1.36 % (14805)Instructions burned: 18 (million)
% 1.70/1.36 % (14805)------------------------------
% 1.70/1.36 % (14805)------------------------------
% 1.70/1.36 % (14823)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_14609 for (2999ds/3Mi)
% 1.70/1.37 % (14823)Instruction limit reached!
% 1.70/1.37 % (14823)------------------------------
% 1.70/1.37 % (14823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.37 % (14823)Termination reason: Unknown
% 1.70/1.37 % (14823)Termination phase: Property scanning
% 1.70/1.37
% 1.70/1.37 % (14823)Memory used [KB]: 1023
% 1.70/1.37 % (14823)Time elapsed: 0.003 s
% 1.70/1.37 % (14823)Instructions burned: 3 (million)
% 1.70/1.37 % (14823)------------------------------
% 1.70/1.37 % (14823)------------------------------
% 1.70/1.37 % (14821)Instruction limit reached!
% 1.70/1.37 % (14821)------------------------------
% 1.70/1.37 % (14821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.37 % (14821)Termination reason: Unknown
% 1.70/1.37 % (14821)Termination phase: Saturation
% 1.70/1.37
% 1.70/1.37 % (14821)Memory used [KB]: 5628
% 1.70/1.37 % (14821)Time elapsed: 0.014 s
% 1.70/1.37 % (14821)Instructions burned: 38 (million)
% 1.70/1.37 % (14821)------------------------------
% 1.70/1.37 % (14821)------------------------------
% 1.70/1.38 % (14822)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_14609 for (2999ds/15Mi)
% 1.70/1.38 % (14824)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_14609 for (2999ds/1041Mi)
% 1.70/1.39 % (14830)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_14609 for (2999ds/3Mi)
% 1.70/1.39 % (14830)Instruction limit reached!
% 1.70/1.39 % (14830)------------------------------
% 1.70/1.39 % (14830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.39 % (14830)Termination reason: Unknown
% 1.70/1.39 % (14830)Termination phase: Property scanning
% 1.70/1.39
% 1.70/1.39 % (14830)Memory used [KB]: 1023
% 1.70/1.39 % (14830)Time elapsed: 0.003 s
% 1.70/1.39 % (14830)Instructions burned: 3 (million)
% 1.70/1.39 % (14830)------------------------------
% 1.70/1.39 % (14830)------------------------------
% 1.70/1.39 % (14822)Instruction limit reached!
% 1.70/1.39 % (14822)------------------------------
% 1.70/1.39 % (14822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.39 % (14822)Termination reason: Unknown
% 1.70/1.39 % (14822)Termination phase: Saturation
% 1.70/1.39
% 1.70/1.39 % (14822)Memory used [KB]: 5756
% 1.70/1.39 % (14822)Time elapsed: 0.014 s
% 1.70/1.39 % (14822)Instructions burned: 16 (million)
% 1.70/1.39 % (14822)------------------------------
% 1.70/1.39 % (14822)------------------------------
% 1.70/1.39 % (14825)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/7Mi)
% 1.70/1.40 % (14829)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/16Mi)
% 1.70/1.40 % (14825)Instruction limit reached!
% 1.70/1.40 % (14825)------------------------------
% 1.70/1.40 % (14825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.40 % (14825)Termination reason: Unknown
% 1.70/1.40 % (14825)Termination phase: Property scanning
% 1.70/1.40
% 1.70/1.40 % (14825)Memory used [KB]: 1023
% 1.70/1.40 % (14825)Time elapsed: 0.009 s
% 1.70/1.40 % (14825)Instructions burned: 8 (million)
% 1.70/1.40 % (14825)------------------------------
% 1.70/1.40 % (14825)------------------------------
% 1.74/1.40 % (14799)Instruction limit reached!
% 1.74/1.40 % (14799)------------------------------
% 1.74/1.40 % (14799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.40 % (14799)Termination reason: Unknown
% 1.74/1.40 % (14799)Termination phase: Saturation
% 1.74/1.40
% 1.74/1.40 % (14799)Memory used [KB]: 5884
% 1.74/1.40 % (14799)Time elapsed: 0.064 s
% 1.74/1.40 % (14799)Instructions burned: 185 (million)
% 1.74/1.40 % (14799)------------------------------
% 1.74/1.40 % (14799)------------------------------
% 1.74/1.40 % (14835)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_14609 for (2999ds/3Mi)
% 1.74/1.41 % (14835)Instruction limit reached!
% 1.74/1.41 % (14835)------------------------------
% 1.74/1.41 % (14835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.41 % (14835)Termination reason: Unknown
% 1.74/1.41 % (14835)Termination phase: Property scanning
% 1.74/1.41
% 1.74/1.41 % (14835)Memory used [KB]: 1023
% 1.74/1.41 % (14835)Time elapsed: 0.003 s
% 1.74/1.41 % (14835)Instructions burned: 3 (million)
% 1.74/1.41 % (14835)------------------------------
% 1.74/1.41 % (14835)------------------------------
% 1.74/1.41 % (14836)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/7Mi)
% 1.74/1.41 % (14829)Instruction limit reached!
% 1.74/1.41 % (14829)------------------------------
% 1.74/1.41 % (14829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.41 % (14829)Termination reason: Unknown
% 1.74/1.41 % (14829)Termination phase: Saturation
% 1.74/1.41
% 1.74/1.41 % (14829)Memory used [KB]: 5628
% 1.74/1.41 % (14829)Time elapsed: 0.016 s
% 1.74/1.41 % (14829)Instructions burned: 16 (million)
% 1.74/1.41 % (14829)------------------------------
% 1.74/1.41 % (14829)------------------------------
% 1.74/1.41 % (14836)Instruction limit reached!
% 1.74/1.41 % (14836)------------------------------
% 1.74/1.41 % (14836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.41 % (14836)Termination reason: Unknown
% 1.74/1.41 % (14836)Termination phase: Property scanning
% 1.74/1.41
% 1.74/1.41 % (14836)Memory used [KB]: 1023
% 1.74/1.41 % (14836)Time elapsed: 0.005 s
% 1.74/1.41 % (14836)Instructions burned: 7 (million)
% 1.74/1.41 % (14836)------------------------------
% 1.74/1.41 % (14836)------------------------------
% 1.74/1.41 % (14838)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/3Mi)
% 1.74/1.41 % (14838)Instruction limit reached!
% 1.74/1.41 % (14838)------------------------------
% 1.74/1.41 % (14838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.41 % (14838)Termination reason: Unknown
% 1.74/1.41 % (14838)Termination phase: Property scanning
% 1.74/1.41
% 1.74/1.41 % (14838)Memory used [KB]: 1023
% 1.74/1.41 % (14838)Time elapsed: 0.003 s
% 1.74/1.41 % (14838)Instructions burned: 4 (million)
% 1.74/1.41 % (14838)------------------------------
% 1.74/1.41 % (14838)------------------------------
% 1.74/1.43 % (14839)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/4Mi)
% 1.74/1.43 % (14844)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/6Mi)
% 1.74/1.43 % (14843)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/710Mi)
% 1.74/1.43 % (14839)Instruction limit reached!
% 1.74/1.43 % (14839)------------------------------
% 1.74/1.43 % (14839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.43 % (14839)Termination reason: Unknown
% 1.74/1.43 % (14839)Termination phase: Preprocessing 3
% 1.74/1.43
% 1.74/1.43 % (14839)Memory used [KB]: 1023
% 1.74/1.43 % (14839)Time elapsed: 0.005 s
% 1.74/1.43 % (14839)Instructions burned: 4 (million)
% 1.74/1.43 % (14839)------------------------------
% 1.74/1.43 % (14839)------------------------------
% 1.74/1.43 % (14844)Instruction limit reached!
% 1.74/1.43 % (14844)------------------------------
% 1.74/1.43 % (14844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.43 % (14844)Termination reason: Unknown
% 1.74/1.43 % (14844)Termination phase: shuffling
% 1.74/1.43
% 1.74/1.43 % (14844)Memory used [KB]: 1023
% 1.74/1.43 % (14844)Time elapsed: 0.005 s
% 1.74/1.43 % (14844)Instructions burned: 6 (million)
% 1.74/1.43 % (14844)------------------------------
% 1.74/1.43 % (14844)------------------------------
% 1.74/1.43 % (14846)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_14609 for (2999ds/902Mi)
% 1.74/1.44 % (14841)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_14609 for (2999ds/18Mi)
% 1.74/1.44 % (14804)Instruction limit reached!
% 1.74/1.44 % (14804)------------------------------
% 1.74/1.44 % (14804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.44 % (14804)Termination reason: Unknown
% 1.74/1.44 % (14804)Termination phase: Saturation
% 1.74/1.44
% 1.74/1.44 % (14804)Memory used [KB]: 5884
% 1.74/1.44 % (14804)Time elapsed: 0.103 s
% 1.74/1.44 % (14804)Instructions burned: 277 (million)
% 1.74/1.44 % (14804)------------------------------
% 1.74/1.44 % (14804)------------------------------
% 1.74/1.45 % (14853)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_14609 for (2998ds/6Mi)
% 1.74/1.45 % (14850)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_14609 for (2998ds/21Mi)
% 1.74/1.45 % (14853)Instruction limit reached!
% 1.74/1.45 % (14853)------------------------------
% 1.74/1.45 % (14853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.45 % (14853)Termination reason: Unknown
% 1.74/1.45 % (14853)Termination phase: Saturation
% 1.74/1.45
% 1.74/1.45 % (14853)Memory used [KB]: 5500
% 1.74/1.45 % (14853)Time elapsed: 0.003 s
% 1.74/1.45 % (14853)Instructions burned: 7 (million)
% 1.74/1.45 % (14853)------------------------------
% 1.74/1.45 % (14853)------------------------------
% 1.74/1.45 % (14851)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_14609 for (2998ds/5Mi)
% 1.74/1.45 % (14851)Instruction limit reached!
% 1.74/1.45 % (14851)------------------------------
% 1.74/1.45 % (14851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.45 % (14851)Termination reason: Unknown
% 1.74/1.45 % (14851)Termination phase: Property scanning
% 1.74/1.45
% 1.74/1.45 % (14851)Memory used [KB]: 1023
% 1.74/1.45 % (14851)Time elapsed: 0.004 s
% 1.74/1.45 % (14851)Instructions burned: 5 (million)
% 1.74/1.45 % (14851)------------------------------
% 1.74/1.45 % (14851)------------------------------
% 1.74/1.45 % (14841)Instruction limit reached!
% 1.74/1.45 % (14841)------------------------------
% 1.74/1.45 % (14841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.45 % (14841)Termination reason: Unknown
% 1.74/1.45 % (14841)Termination phase: Saturation
% 1.74/1.45
% 1.74/1.45 % (14841)Memory used [KB]: 5628
% 1.74/1.45 % (14841)Time elapsed: 0.018 s
% 1.74/1.45 % (14841)Instructions burned: 18 (million)
% 1.74/1.45 % (14841)------------------------------
% 1.74/1.45 % (14841)------------------------------
% 1.74/1.46 % (14855)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_14609 for (2998ds/377Mi)
% 1.74/1.46 % (14850)Instruction limit reached!
% 1.74/1.46 % (14850)------------------------------
% 1.74/1.46 % (14850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.46 % (14850)Termination reason: Unknown
% 1.74/1.46 % (14850)Termination phase: Saturation
% 1.74/1.46
% 1.74/1.46 % (14850)Memory used [KB]: 5756
% 1.74/1.46 % (14850)Time elapsed: 0.013 s
% 1.74/1.46 % (14850)Instructions burned: 22 (million)
% 1.74/1.46 % (14850)------------------------------
% 1.74/1.46 % (14850)------------------------------
% 1.74/1.47 % (14856)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_14609 for (2998ds/779Mi)
% 1.74/1.47 % (14857)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_14609 for (2998ds/19Mi)
% 1.74/1.47 % (14861)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_14609 for (2998ds/879Mi)
% 1.74/1.48 % (14857)Instruction limit reached!
% 1.74/1.48 % (14857)------------------------------
% 1.74/1.48 % (14857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.48 % (14857)Termination reason: Unknown
% 1.74/1.48 % (14857)Termination phase: Saturation
% 1.74/1.48
% 1.74/1.48 % (14857)Memory used [KB]: 5500
% 1.74/1.48 % (14857)Time elapsed: 0.011 s
% 1.74/1.48 % (14857)Instructions burned: 21 (million)
% 1.74/1.48 % (14857)------------------------------
% 1.74/1.48 % (14857)------------------------------
% 1.74/1.50 % (14864)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_14609 for (2998ds/17Mi)
% 1.74/1.51 % (14864)Instruction limit reached!
% 1.74/1.51 % (14864)------------------------------
% 1.74/1.51 % (14864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.51 % (14864)Termination reason: Unknown
% 1.74/1.51 % (14864)Termination phase: Saturation
% 1.74/1.51
% 1.74/1.51 % (14864)Memory used [KB]: 5628
% 1.74/1.51 % (14864)Time elapsed: 0.013 s
% 1.74/1.51 % (14864)Instructions burned: 18 (million)
% 1.74/1.51 % (14864)------------------------------
% 1.74/1.51 % (14864)------------------------------
% 1.74/1.52 % (14866)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_14609 for (2998ds/3Mi)
% 1.74/1.53 % (14866)Instruction limit reached!
% 1.74/1.53 % (14866)------------------------------
% 1.74/1.53 % (14866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.53 % (14866)Termination reason: Unknown
% 1.74/1.53 % (14866)Termination phase: Property scanning
% 1.74/1.53
% 1.74/1.53 % (14866)Memory used [KB]: 1023
% 1.74/1.53 % (14866)Time elapsed: 0.003 s
% 1.74/1.53 % (14866)Instructions burned: 3 (million)
% 1.74/1.53 % (14866)------------------------------
% 1.74/1.53 % (14866)------------------------------
% 1.74/1.54 % (14869)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_14609 for (2997ds/30Mi)
% 1.74/1.55 % (14869)Refutation not found, incomplete strategy
% 1.74/1.55 % (14869)------------------------------
% 1.74/1.55 % (14869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.55 % (14869)Termination reason: Refutation not found, incomplete strategy
% 1.74/1.55
% 1.74/1.55
% 1.74/1.55 % (14869)Memory used [KB]: 5756
% 1.74/1.55 % (14869)Time elapsed: 0.008 s
% 1.74/1.55 % (14869)Instructions burned: 18 (million)
% 1.74/1.55 % (14869)------------------------------
% 1.74/1.55 % (14869)------------------------------
% 1.74/1.56 % (14871)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_14609 for (2997ds/127Mi)
% 1.74/1.59 % (14855)Instruction limit reached!
% 1.74/1.59 % (14855)------------------------------
% 1.74/1.59 % (14855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.59 % (14855)Termination reason: Unknown
% 1.74/1.59 % (14855)Termination phase: Saturation
% 1.74/1.59
% 1.74/1.59 % (14855)Memory used [KB]: 5756
% 1.74/1.59 % (14855)Time elapsed: 0.133 s
% 1.74/1.59 % (14855)Instructions burned: 378 (million)
% 1.74/1.59 % (14855)------------------------------
% 1.74/1.59 % (14855)------------------------------
% 1.74/1.61 % (14871)Instruction limit reached!
% 1.74/1.61 % (14871)------------------------------
% 1.74/1.61 % (14871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.61 % (14871)Termination reason: Unknown
% 1.74/1.61 % (14871)Termination phase: Saturation
% 1.74/1.61
% 1.74/1.61 % (14871)Memory used [KB]: 5884
% 1.74/1.61 % (14871)Time elapsed: 0.047 s
% 1.74/1.61 % (14871)Instructions burned: 128 (million)
% 1.74/1.61 % (14871)------------------------------
% 1.74/1.61 % (14871)------------------------------
% 1.74/1.62 % (14874)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_14609 for (2997ds/100Mi)
% 1.74/1.63 % (14875)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_14609 for (2997ds/3Mi)
% 1.74/1.63 % (14875)Instruction limit reached!
% 1.74/1.63 % (14875)------------------------------
% 1.74/1.63 % (14875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.63 % (14875)Termination reason: Unknown
% 1.74/1.63 % (14875)Termination phase: Property scanning
% 1.74/1.63
% 1.74/1.63 % (14875)Memory used [KB]: 1023
% 1.74/1.63 % (14875)Time elapsed: 0.003 s
% 1.74/1.63 % (14875)Instructions burned: 4 (million)
% 1.74/1.63 % (14875)------------------------------
% 1.74/1.63 % (14875)------------------------------
% 1.74/1.65 % (14876)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_14609 for (2996ds/20Mi)
% 1.74/1.67 % (14876)Instruction limit reached!
% 1.74/1.67 % (14876)------------------------------
% 1.74/1.67 % (14876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.67 % (14876)Termination reason: Unknown
% 1.74/1.67 % (14876)Termination phase: Saturation
% 1.74/1.67
% 1.74/1.67 % (14876)Memory used [KB]: 5756
% 1.74/1.67 % (14876)Time elapsed: 0.013 s
% 1.74/1.67 % (14876)Instructions burned: 20 (million)
% 1.74/1.67 % (14876)------------------------------
% 1.74/1.67 % (14876)------------------------------
% 1.74/1.67 % (14874)Instruction limit reached!
% 1.74/1.67 % (14874)------------------------------
% 1.74/1.67 % (14874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.67 % (14874)Termination reason: Unknown
% 1.74/1.67 % (14874)Termination phase: Saturation
% 1.74/1.67
% 1.74/1.67 % (14874)Memory used [KB]: 5756
% 1.74/1.67 % (14874)Time elapsed: 0.074 s
% 1.74/1.67 % (14874)Instructions burned: 101 (million)
% 1.74/1.67 % (14874)------------------------------
% 1.74/1.67 % (14874)------------------------------
% 1.74/1.68 % (14878)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_14609 for (2996ds/86Mi)
% 1.74/1.69 % (14879)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_14609 for (2996ds/107Mi)
% 1.74/1.71 % (14878)Instruction limit reached!
% 1.74/1.71 % (14878)------------------------------
% 1.74/1.71 % (14878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.71 % (14878)Termination reason: Unknown
% 1.74/1.71 % (14878)Termination phase: Saturation
% 1.74/1.71
% 1.74/1.71 % (14878)Memory used [KB]: 5884
% 1.74/1.71 % (14878)Time elapsed: 0.029 s
% 1.74/1.71 % (14878)Instructions burned: 86 (million)
% 1.74/1.71 % (14878)------------------------------
% 1.74/1.71 % (14878)------------------------------
% 1.74/1.72 % (14882)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_14609 for (2996ds/39Mi)
% 1.74/1.73 % (14882)Instruction limit reached!
% 1.74/1.73 % (14882)------------------------------
% 1.74/1.73 % (14882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.73 % (14882)Termination reason: Unknown
% 1.74/1.73 % (14882)Termination phase: Saturation
% 1.74/1.73
% 1.74/1.73 % (14882)Memory used [KB]: 5628
% 1.74/1.73 % (14882)Time elapsed: 0.013 s
% 1.74/1.73 % (14882)Instructions burned: 40 (million)
% 1.74/1.73 % (14882)------------------------------
% 1.74/1.73 % (14882)------------------------------
% 1.74/1.73 % (14843)Instruction limit reached!
% 1.74/1.73 % (14843)------------------------------
% 1.74/1.73 % (14843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.73 % (14843)Termination reason: Unknown
% 1.74/1.73 % (14843)Termination phase: Saturation
% 1.74/1.73
% 1.74/1.73 % (14843)Memory used [KB]: 7675
% 1.74/1.73 % (14843)Time elapsed: 0.304 s
% 1.74/1.73 % (14843)Instructions burned: 710 (million)
% 1.74/1.73 % (14843)------------------------------
% 1.74/1.73 % (14843)------------------------------
% 1.74/1.74 % (14885)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_14609 for (2995ds/448Mi)
% 1.74/1.75 % (14879)Instruction limit reached!
% 1.74/1.75 % (14879)------------------------------
% 1.74/1.75 % (14879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.75 % (14879)Termination reason: Unknown
% 1.74/1.75 % (14879)Termination phase: Saturation
% 1.74/1.75
% 1.74/1.75 % (14879)Memory used [KB]: 6012
% 1.74/1.75 % (14879)Time elapsed: 0.060 s
% 1.74/1.75 % (14879)Instructions burned: 107 (million)
% 1.74/1.75 % (14879)------------------------------
% 1.74/1.75 % (14879)------------------------------
% 1.74/1.75 % (14886)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_14609 for (2995ds/46Mi)
% 1.74/1.76 % (14888)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_14609 for (2995ds/98Mi)
% 1.74/1.77 % (14886)Instruction limit reached!
% 1.74/1.77 % (14886)------------------------------
% 1.74/1.77 % (14886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.77 % (14886)Termination reason: Unknown
% 1.74/1.77 % (14886)Termination phase: Saturation
% 1.74/1.77
% 1.74/1.77 % (14886)Memory used [KB]: 5884
% 1.74/1.77 % (14886)Time elapsed: 0.027 s
% 1.74/1.77 % (14886)Instructions burned: 46 (million)
% 1.74/1.77 % (14886)------------------------------
% 1.74/1.77 % (14886)------------------------------
% 1.74/1.80 % (14891)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_14609 for (2995ds/507Mi)
% 1.74/1.81 % (14888)Instruction limit reached!
% 1.74/1.81 % (14888)------------------------------
% 1.74/1.81 % (14888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.81 % (14888)Termination reason: Unknown
% 1.74/1.81 % (14888)Termination phase: Saturation
% 1.74/1.81
% 1.74/1.81 % (14888)Memory used [KB]: 1279
% 1.74/1.81 % (14888)Time elapsed: 0.046 s
% 1.74/1.81 % (14888)Instructions burned: 99 (million)
% 1.74/1.81 % (14888)------------------------------
% 1.74/1.81 % (14888)------------------------------
% 1.74/1.81 % (14856)Instruction limit reached!
% 1.74/1.81 % (14856)------------------------------
% 1.74/1.81 % (14856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.81 % (14856)Termination reason: Unknown
% 1.74/1.81 % (14856)Termination phase: Saturation
% 1.74/1.81
% 1.74/1.81 % (14856)Memory used [KB]: 6268
% 1.74/1.81 % (14856)Time elapsed: 0.349 s
% 1.74/1.81 % (14856)Instructions burned: 780 (million)
% 1.74/1.81 % (14856)------------------------------
% 1.74/1.81 % (14856)------------------------------
% 1.74/1.82 % (14893)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_14609 for (2995ds/149Mi)
% 1.74/1.83 % (14895)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_14609 for (2995ds/39Mi)
% 1.74/1.85 % (14846)Instruction limit reached!
% 1.74/1.85 % (14846)------------------------------
% 1.74/1.85 % (14846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.85 % (14846)Termination reason: Unknown
% 1.74/1.85 % (14846)Termination phase: Saturation
% 1.74/1.85
% 1.74/1.85 % (14846)Memory used [KB]: 6908
% 1.74/1.85 % (14846)Time elapsed: 0.418 s
% 1.74/1.85 % (14846)Instructions burned: 902 (million)
% 1.74/1.85 % (14846)------------------------------
% 1.74/1.85 % (14846)------------------------------
% 1.74/1.85 % (14895)Instruction limit reached!
% 1.74/1.85 % (14895)------------------------------
% 1.74/1.85 % (14895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.85 % (14895)Termination reason: Unknown
% 1.74/1.85 % (14895)Termination phase: Saturation
% 1.74/1.85
% 1.74/1.85 % (14895)Memory used [KB]: 5756
% 1.74/1.85 % (14895)Time elapsed: 0.022 s
% 1.74/1.85 % (14895)Instructions burned: 40 (million)
% 1.74/1.85 % (14895)------------------------------
% 1.74/1.85 % (14895)------------------------------
% 1.74/1.86 % (14899)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_14609 for (2994ds/6Mi)
% 1.74/1.86 % (14899)Instruction limit reached!
% 1.74/1.86 % (14899)------------------------------
% 1.74/1.86 % (14899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.86 % (14899)Termination reason: Unknown
% 1.74/1.86 % (14899)Termination phase: Saturation
% 1.74/1.86
% 1.74/1.86 % (14899)Memory used [KB]: 9978
% 1.74/1.86 % (14899)Time elapsed: 0.003 s
% 1.74/1.86 % (14899)Instructions burned: 6 (million)
% 1.74/1.86 % (14899)------------------------------
% 1.74/1.86 % (14899)------------------------------
% 1.74/1.87 % (14861)Instruction limit reached!
% 1.74/1.87 % (14861)------------------------------
% 1.74/1.87 % (14861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.87 % (14861)Termination reason: Unknown
% 1.74/1.87 % (14861)Termination phase: Saturation
% 1.74/1.87
% 1.74/1.87 % (14861)Memory used [KB]: 6908
% 1.74/1.87 % (14861)Time elapsed: 0.394 s
% 1.74/1.87 % (14861)Instructions burned: 880 (million)
% 1.74/1.87 % (14861)------------------------------
% 1.74/1.87 % (14861)------------------------------
% 1.74/1.87 % (14900)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_14609 for (2994ds/1087Mi)
% 1.74/1.88 % (14903)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_14609 for (2994ds/47Mi)
% 1.74/1.88 % (14905)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_14609 for (2994ds/44Mi)
% 1.74/1.90 % (14893)Instruction limit reached!
% 1.74/1.90 % (14893)------------------------------
% 1.74/1.90 % (14893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.90 % (14893)Termination reason: Unknown
% 1.74/1.90 % (14893)Termination phase: Saturation
% 1.74/1.90
% 1.74/1.90 % (14893)Memory used [KB]: 6012
% 1.74/1.90 % (14893)Time elapsed: 0.077 s
% 1.74/1.90 % (14893)Instructions burned: 150 (million)
% 1.74/1.90 % (14893)------------------------------
% 1.74/1.90 % (14893)------------------------------
% 1.74/1.90 % (14903)Instruction limit reached!
% 1.74/1.90 % (14903)------------------------------
% 1.74/1.90 % (14903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.90 % (14903)Termination reason: Unknown
% 1.74/1.90 % (14903)Termination phase: Saturation
% 1.74/1.90
% 1.74/1.90 % (14903)Memory used [KB]: 5884
% 1.74/1.90 % (14903)Time elapsed: 0.025 s
% 1.74/1.90 % (14903)Instructions burned: 48 (million)
% 1.74/1.90 % (14903)------------------------------
% 1.74/1.90 % (14903)------------------------------
% 1.74/1.90 % (14905)Instruction limit reached!
% 1.74/1.90 % (14905)------------------------------
% 1.74/1.90 % (14905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.90 % (14905)Termination reason: Unknown
% 1.74/1.90 % (14905)Termination phase: Saturation
% 1.74/1.90
% 1.74/1.90 % (14905)Memory used [KB]: 1151
% 1.74/1.90 % (14905)Time elapsed: 0.022 s
% 1.74/1.90 % (14905)Instructions burned: 45 (million)
% 1.74/1.90 % (14905)------------------------------
% 1.74/1.90 % (14905)------------------------------
% 1.74/1.90 % (14885)Instruction limit reached!
% 1.74/1.90 % (14885)------------------------------
% 1.74/1.90 % (14885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.90 % (14885)Termination reason: Unknown
% 1.74/1.90 % (14885)Termination phase: Saturation
% 1.74/1.90
% 1.74/1.90 % (14885)Memory used [KB]: 6140
% 1.74/1.90 % (14885)Time elapsed: 0.164 s
% 1.74/1.90 % (14885)Instructions burned: 450 (million)
% 1.74/1.90 % (14885)------------------------------
% 1.74/1.90 % (14885)------------------------------
% 1.74/1.91 % (14909)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_14609 for (2994ds/432Mi)
% 1.74/1.92 % (14910)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_14609 for (2994ds/62Mi)
% 1.74/1.92 % (14824)Instruction limit reached!
% 1.74/1.92 % (14824)------------------------------
% 1.74/1.92 % (14824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.92 % (14824)Termination reason: Unknown
% 1.74/1.92 % (14824)Termination phase: Saturation
% 1.74/1.92
% 1.74/1.92 % (14824)Memory used [KB]: 7931
% 1.74/1.92 % (14824)Time elapsed: 0.535 s
% 1.74/1.92 % (14824)Instructions burned: 1041 (million)
% 1.74/1.92 % (14824)------------------------------
% 1.74/1.92 % (14824)------------------------------
% 1.74/1.92 % (14912)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_14609 for (2994ds/31Mi)
% 1.74/1.92 % (14913)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_14609 for (2994ds/96Mi)
% 1.74/1.93 % (14914)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_14609 for (2994ds/453Mi)
% 1.74/1.93 % (14912)Instruction limit reached!
% 1.74/1.93 % (14912)------------------------------
% 1.74/1.93 % (14912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.93 % (14912)Termination reason: Unknown
% 1.74/1.93 % (14912)Termination phase: Saturation
% 1.74/1.93
% 1.74/1.93 % (14912)Memory used [KB]: 5756
% 1.74/1.93 % (14912)Time elapsed: 0.016 s
% 1.74/1.93 % (14912)Instructions burned: 31 (million)
% 1.74/1.93 % (14912)------------------------------
% 1.74/1.93 % (14912)------------------------------
% 1.74/1.94 % (14910)Instruction limit reached!
% 1.74/1.94 % (14910)------------------------------
% 1.74/1.94 % (14910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.94 % (14910)Termination reason: Unknown
% 1.74/1.94 % (14910)Termination phase: Saturation
% 1.74/1.94
% 1.74/1.94 % (14910)Memory used [KB]: 5756
% 1.74/1.94 % (14910)Time elapsed: 0.030 s
% 1.74/1.94 % (14910)Instructions burned: 63 (million)
% 1.74/1.94 % (14910)------------------------------
% 1.74/1.94 % (14910)------------------------------
% 1.74/1.95 % (14916)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_14609 for (2993ds/71Mi)
% 1.74/1.97 % (14913)Instruction limit reached!
% 1.74/1.97 % (14913)------------------------------
% 1.74/1.97 % (14913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.97 % (14913)Termination reason: Unknown
% 1.74/1.97 % (14913)Termination phase: Saturation
% 1.74/1.97
% 1.74/1.97 % (14913)Memory used [KB]: 5884
% 1.74/1.97 % (14913)Time elapsed: 0.069 s
% 1.74/1.97 % (14913)Instructions burned: 97 (million)
% 1.74/1.97 % (14913)------------------------------
% 1.74/1.97 % (14913)------------------------------
% 1.74/1.97 % (14918)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_14609 for (2993ds/83Mi)
% 1.74/1.98 % (14921)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_14609 for (2993ds/11Mi)
% 1.74/1.98 % (14916)Instruction limit reached!
% 1.74/1.98 % (14916)------------------------------
% 1.74/1.98 % (14916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.98 % (14916)Termination reason: Unknown
% 1.74/1.98 % (14916)Termination phase: Saturation
% 1.74/1.98
% 1.74/1.98 % (14916)Memory used [KB]: 5884
% 1.74/1.98 % (14916)Time elapsed: 0.037 s
% 1.74/1.98 % (14916)Instructions burned: 72 (million)
% 1.74/1.98 % (14916)------------------------------
% 1.74/1.98 % (14916)------------------------------
% 1.74/1.99 % (14921)Instruction limit reached!
% 1.74/1.99 % (14921)------------------------------
% 1.74/1.99 % (14921)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/1.99 % (14921)Termination reason: Unknown
% 1.74/1.99 % (14921)Termination phase: Saturation
% 1.74/1.99
% 1.74/1.99 % (14921)Memory used [KB]: 5500
% 1.74/1.99 % (14921)Time elapsed: 0.007 s
% 1.74/1.99 % (14921)Instructions burned: 13 (million)
% 1.74/1.99 % (14921)------------------------------
% 1.74/1.99 % (14921)------------------------------
% 1.74/2.00 % (14923)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_14609 for (2993ds/41Mi)
% 1.74/2.00 % (14891)Instruction limit reached!
% 1.74/2.00 % (14891)------------------------------
% 1.74/2.00 % (14891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/2.00 % (14891)Termination reason: Unknown
% 1.74/2.00 % (14891)Termination phase: Saturation
% 1.74/2.00
% 1.74/2.00 % (14891)Memory used [KB]: 5884
% 1.74/2.00 % (14891)Time elapsed: 0.226 s
% 1.74/2.00 % (14891)Instructions burned: 508 (million)
% 1.74/2.00 % (14891)------------------------------
% 1.74/2.00 % (14891)------------------------------
% 1.74/2.00 % (14924)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_14609 for (2993ds/6Mi)
% 1.74/2.01 % (14924)Instruction limit reached!
% 1.74/2.01 % (14924)------------------------------
% 1.74/2.01 % (14924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/2.01 % (14924)Termination reason: Unknown
% 1.74/2.01 % (14924)Termination phase: Property scanning
% 1.74/2.01
% 1.74/2.01 % (14924)Memory used [KB]: 1023
% 1.74/2.01 % (14924)Time elapsed: 0.005 s
% 1.74/2.01 % (14924)Instructions burned: 7 (million)
% 1.74/2.01 % (14924)------------------------------
% 1.74/2.01 % (14924)------------------------------
% 1.74/2.01 % (14918)Instruction limit reached!
% 1.74/2.01 % (14918)------------------------------
% 1.74/2.01 % (14918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/2.01 % (14918)Termination reason: Unknown
% 1.74/2.01 % (14918)Termination phase: Saturation
% 1.74/2.01
% 1.74/2.01 % (14918)Memory used [KB]: 5756
% 1.74/2.01 % (14918)Time elapsed: 0.032 s
% 1.74/2.01 % (14918)Instructions burned: 85 (million)
% 1.74/2.01 % (14918)------------------------------
% 1.74/2.01 % (14918)------------------------------
% 1.74/2.02 % (14929)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_14609 for (2993ds/109Mi)
% 1.74/2.02 % (14923)Instruction limit reached!
% 1.74/2.02 % (14923)------------------------------
% 1.74/2.02 % (14923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.74/2.02 % (14923)Termination reason: Unknown
% 1.74/2.02 % (14923)Termination phase: Saturation
% 1.74/2.02
% 1.74/2.02 % (14923)Memory used [KB]: 5628
% 1.74/2.02 % (14923)Time elapsed: 0.020 s
% 1.74/2.02 % (14923)Instructions burned: 42 (million)
% 1.74/2.02 % (14923)------------------------------
% 1.74/2.02 % (14923)------------------------------
% 1.74/2.02 % (14926)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_14609 for (2993ds/150Mi)
% 1.74/2.02 % (14927)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_14609 for (2993ds/343Mi)
% 6.45/2.03 % (14926)Refutation not found, incomplete strategy
% 6.45/2.03 % (14926)------------------------------
% 6.45/2.03 % (14926)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.45/2.03 % (14926)Termination reason: Refutation not found, incomplete strategy
% 6.45/2.03
% 6.45/2.03
% 6.45/2.03 % (14926)Memory used [KB]: 5628
% 6.45/2.03 % (14926)Time elapsed: 0.010 s
% 6.45/2.03 % (14926)Instructions burned: 18 (million)
% 6.45/2.03 % (14926)------------------------------
% 6.45/2.03 % (14926)------------------------------
% 6.45/2.04 % (14932)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_14609 for (2993ds/253Mi)
% 6.45/2.05 % (14933)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_14609 for (2992ds/140Mi)
% 6.45/2.05 % (14929)Instruction limit reached!
% 6.45/2.05 % (14929)------------------------------
% 6.45/2.05 % (14929)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.45/2.05 % (14929)Termination reason: Unknown
% 6.45/2.05 % (14929)Termination phase: Saturation
% 6.45/2.05
% 6.45/2.05 % (14929)Memory used [KB]: 6012
% 6.45/2.05 % (14929)Time elapsed: 0.034 s
% 6.45/2.05 % (14929)Instructions burned: 111 (million)
% 6.45/2.05 % (14929)------------------------------
% 6.45/2.05 % (14929)------------------------------
% 6.45/2.05 % (14933)Refutation not found, incomplete strategy
% 6.45/2.05 % (14933)------------------------------
% 6.45/2.05 % (14933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.45/2.05 % (14933)Termination reason: Refutation not found, incomplete strategy
% 6.45/2.05
% 6.45/2.05
% 6.45/2.05 % (14933)Memory used [KB]: 5756
% 6.45/2.05 % (14933)Time elapsed: 0.009 s
% 6.45/2.05 % (14933)Instructions burned: 16 (million)
% 6.45/2.05 % (14933)------------------------------
% 6.45/2.05 % (14933)------------------------------
% 6.45/2.06 % (14935)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_14609 for (2992ds/614Mi)
% 6.45/2.07 % (14936)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_14609 for (2992ds/202Mi)
% 6.45/2.10 % (14909)Instruction limit reached!
% 6.45/2.10 % (14909)------------------------------
% 6.45/2.10 % (14909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.45/2.10 % (14909)Termination reason: Unknown
% 6.45/2.10 % (14909)Termination phase: Saturation
% 6.45/2.10
% 6.45/2.10 % (14909)Memory used [KB]: 2046
% 6.45/2.10 % (14909)Time elapsed: 0.212 s
% 6.45/2.10 % (14909)Instructions burned: 433 (million)
% 6.45/2.10 % (14909)------------------------------
% 6.45/2.10 % (14909)------------------------------
% 6.45/2.12 % (14914)Instruction limit reached!
% 6.45/2.12 % (14914)------------------------------
% 6.45/2.12 % (14914)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.45/2.12 % (14914)Termination reason: Unknown
% 6.45/2.12 % (14914)Termination phase: Saturation
% 6.45/2.12
% 6.45/2.12 % (14914)Memory used [KB]: 5884
% 6.45/2.12 % (14914)Time elapsed: 0.209 s
% 6.45/2.12 % (14914)Instructions burned: 453 (million)
% 6.45/2.12 % (14914)------------------------------
% 6.45/2.12 % (14914)------------------------------
% 6.45/2.12 % (14940)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_14609 for (2992ds/339Mi)
% 6.83/2.13 % (14942)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_14609 for (2992ds/283Mi)
% 6.83/2.14 % (14936)Instruction limit reached!
% 6.83/2.14 % (14936)------------------------------
% 6.83/2.14 % (14936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.14 % (14936)Termination reason: Unknown
% 6.83/2.14 % (14936)Termination phase: Saturation
% 6.83/2.14
% 6.83/2.14 % (14936)Memory used [KB]: 6396
% 6.83/2.14 % (14936)Time elapsed: 0.070 s
% 6.83/2.14 % (14936)Instructions burned: 202 (million)
% 6.83/2.14 % (14936)------------------------------
% 6.83/2.14 % (14936)------------------------------
% 6.83/2.15 % (14943)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_14609 for (2991ds/134Mi)
% 6.83/2.16 % (14932)Instruction limit reached!
% 6.83/2.16 % (14932)------------------------------
% 6.83/2.16 % (14932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.83/2.16 % (14932)Termination reason: Unknown
% 6.83/2.16 % (14932)Termination phase: Saturation
% 6.83/2.16
% 6.83/2.16 % (14932)Memory used [KB]: 6268
% 6.83/2.16 % (14932)Time elapsed: 0.124 s
% 6.83/2.16 % (14932)Instructions burned: 254 (million)
% 6.83/2.16 % (14932)------------------------------
% 6.83/2.16 % (14932)------------------------------
% 6.83/2.18 % (14945)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_14609 for (2991ds/298Mi)
% 7.12/2.20 % (14927)Instruction limit reached!
% 7.12/2.20 % (14927)------------------------------
% 7.12/2.20 % (14927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.12/2.20 % (14927)Termination reason: Unknown
% 7.12/2.20 % (14927)Termination phase: Saturation
% 7.12/2.20
% 7.12/2.20 % (14927)Memory used [KB]: 6652
% 7.12/2.20 % (14927)Time elapsed: 0.178 s
% 7.12/2.20 % (14927)Instructions burned: 344 (million)
% 7.12/2.20 % (14927)------------------------------
% 7.12/2.20 % (14927)------------------------------
% 7.12/2.20 % (14943)Instruction limit reached!
% 7.12/2.20 % (14943)------------------------------
% 7.12/2.20 % (14943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.12/2.20 % (14943)Termination reason: Unknown
% 7.12/2.20 % (14943)Termination phase: Saturation
% 7.12/2.20
% 7.12/2.20 % (14943)Memory used [KB]: 6140
% 7.12/2.20 % (14943)Time elapsed: 0.042 s
% 7.12/2.20 % (14943)Instructions burned: 135 (million)
% 7.12/2.20 % (14943)------------------------------
% 7.12/2.20 % (14943)------------------------------
% 7.12/2.21 % (14950)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_14609 for (2991ds/258Mi)
% 7.12/2.22 % (14949)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_14609 for (2991ds/192Mi)
% 7.12/2.25 % (14942)Instruction limit reached!
% 7.12/2.25 % (14942)------------------------------
% 7.12/2.25 % (14942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.12/2.25 % (14942)Termination reason: Unknown
% 7.12/2.25 % (14942)Termination phase: Saturation
% 7.12/2.25
% 7.12/2.25 % (14942)Memory used [KB]: 6396
% 7.12/2.25 % (14942)Time elapsed: 0.115 s
% 7.12/2.25 % (14942)Instructions burned: 283 (million)
% 7.12/2.25 % (14942)------------------------------
% 7.12/2.25 % (14942)------------------------------
% 7.12/2.26 % (14952)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_14609 for (2990ds/90Mi)
% 7.12/2.28 % (14940)Instruction limit reached!
% 7.12/2.28 % (14940)------------------------------
% 7.12/2.28 % (14940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.12/2.28 % (14940)Termination reason: Unknown
% 7.12/2.28 % (14940)Termination phase: Saturation
% 7.12/2.28
% 7.12/2.28 % (14940)Memory used [KB]: 6268
% 7.12/2.28 % (14940)Time elapsed: 0.162 s
% 7.12/2.28 % (14940)Instructions burned: 341 (million)
% 7.12/2.28 % (14940)------------------------------
% 7.12/2.28 % (14940)------------------------------
% 7.76/2.30 % (14954)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_14609 for (2990ds/231Mi)
% 7.76/2.30 % (14949)Instruction limit reached!
% 7.76/2.30 % (14949)------------------------------
% 7.76/2.30 % (14949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.30 % (14949)Termination reason: Unknown
% 7.76/2.30 % (14949)Termination phase: Saturation
% 7.76/2.30
% 7.76/2.30 % (14949)Memory used [KB]: 6396
% 7.76/2.30 % (14949)Time elapsed: 0.087 s
% 7.76/2.30 % (14949)Instructions burned: 192 (million)
% 7.76/2.30 % (14949)------------------------------
% 7.76/2.30 % (14949)------------------------------
% 7.76/2.30 % (14952)Instruction limit reached!
% 7.76/2.30 % (14952)------------------------------
% 7.76/2.30 % (14952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.30 % (14952)Termination reason: Unknown
% 7.76/2.30 % (14952)Termination phase: Saturation
% 7.76/2.30
% 7.76/2.30 % (14952)Memory used [KB]: 5884
% 7.76/2.30 % (14952)Time elapsed: 0.042 s
% 7.76/2.30 % (14952)Instructions burned: 91 (million)
% 7.76/2.30 % (14952)------------------------------
% 7.76/2.30 % (14952)------------------------------
% 7.76/2.31 % (14945)Instruction limit reached!
% 7.76/2.31 % (14945)------------------------------
% 7.76/2.31 % (14945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.31 % (14945)Termination reason: Unknown
% 7.76/2.31 % (14945)Termination phase: Saturation
% 7.76/2.31
% 7.76/2.31 % (14945)Memory used [KB]: 5884
% 7.76/2.31 % (14945)Time elapsed: 0.141 s
% 7.76/2.31 % (14945)Instructions burned: 298 (million)
% 7.76/2.31 % (14945)------------------------------
% 7.76/2.31 % (14945)------------------------------
% 7.76/2.31 % (14958)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_14609 for (2990ds/31Mi)
% 7.76/2.32 % (14957)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_14609 for (2990ds/458Mi)
% 7.76/2.32 % (14959)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_14609 for (2990ds/297Mi)
% 7.76/2.33 % (14935)Instruction limit reached!
% 7.76/2.33 % (14935)------------------------------
% 7.76/2.33 % (14935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.33 % (14935)Termination reason: Unknown
% 7.76/2.33 % (14935)Termination phase: Saturation
% 7.76/2.33
% 7.76/2.33 % (14935)Memory used [KB]: 7931
% 7.76/2.33 % (14935)Time elapsed: 0.268 s
% 7.76/2.33 % (14935)Instructions burned: 614 (million)
% 7.76/2.33 % (14935)------------------------------
% 7.76/2.33 % (14935)------------------------------
% 7.76/2.33 % (14958)Instruction limit reached!
% 7.76/2.33 % (14958)------------------------------
% 7.76/2.33 % (14958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.33 % (14958)Termination reason: Unknown
% 7.76/2.33 % (14958)Termination phase: Saturation
% 7.76/2.33
% 7.76/2.33 % (14958)Memory used [KB]: 5756
% 7.76/2.33 % (14958)Time elapsed: 0.017 s
% 7.76/2.33 % (14958)Instructions burned: 32 (million)
% 7.76/2.33 % (14958)------------------------------
% 7.76/2.33 % (14958)------------------------------
% 7.76/2.34 % (14950)Instruction limit reached!
% 7.76/2.34 % (14950)------------------------------
% 7.76/2.34 % (14950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.34 % (14950)Termination reason: Unknown
% 7.76/2.34 % (14950)Termination phase: Saturation
% 7.76/2.34
% 7.76/2.34 % (14950)Memory used [KB]: 6268
% 7.76/2.34 % (14950)Time elapsed: 0.130 s
% 7.76/2.34 % (14950)Instructions burned: 259 (million)
% 7.76/2.34 % (14950)------------------------------
% 7.76/2.34 % (14950)------------------------------
% 7.76/2.34 % (14963)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_14609 for (2990ds/987Mi)
% 7.76/2.34 % (14964)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_14609 for (2990ds/182Mi)
% 7.76/2.35 % (14900)Instruction limit reached!
% 7.76/2.35 % (14900)------------------------------
% 7.76/2.35 % (14900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.35 % (14900)Termination reason: Unknown
% 7.76/2.35 % (14900)Termination phase: Saturation
% 7.76/2.35
% 7.76/2.35 % (14900)Memory used [KB]: 7419
% 7.76/2.35 % (14900)Time elapsed: 0.497 s
% 7.76/2.35 % (14900)Instructions burned: 1088 (million)
% 7.76/2.35 % (14900)------------------------------
% 7.76/2.35 % (14900)------------------------------
% 7.76/2.36 % (14965)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_14609 for (2989ds/182Mi)
% 7.76/2.36 % (14968)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_14609 for (2989ds/154Mi)
% 7.76/2.39 % (14954)Instruction limit reached!
% 7.76/2.39 % (14954)------------------------------
% 7.76/2.39 % (14954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.76/2.39 % (14954)Termination reason: Unknown
% 7.76/2.39 % (14954)Termination phase: Saturation
% 7.76/2.39
% 7.76/2.39 % (14954)Memory used [KB]: 6140
% 7.76/2.39 % (14954)Time elapsed: 0.094 s
% 7.76/2.39 % (14954)Instructions burned: 231 (million)
% 7.76/2.39 % (14954)------------------------------
% 7.76/2.39 % (14954)------------------------------
% 8.66/2.41 % (14971)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_14609 for (2989ds/79Mi)
% 8.66/2.44 % (14968)Instruction limit reached!
% 8.66/2.44 % (14968)------------------------------
% 8.66/2.44 % (14968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.44 % (14968)Termination reason: Unknown
% 8.66/2.44 % (14968)Termination phase: Saturation
% 8.66/2.44
% 8.66/2.44 % (14968)Memory used [KB]: 6268
% 8.66/2.44 % (14968)Time elapsed: 0.073 s
% 8.66/2.44 % (14968)Instructions burned: 155 (million)
% 8.66/2.44 % (14968)------------------------------
% 8.66/2.44 % (14968)------------------------------
% 8.66/2.44 % (14965)Instruction limit reached!
% 8.66/2.44 % (14965)------------------------------
% 8.66/2.44 % (14965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.44 % (14965)Termination reason: Unknown
% 8.66/2.44 % (14965)Termination phase: Saturation
% 8.66/2.44
% 8.66/2.44 % (14965)Memory used [KB]: 5884
% 8.66/2.44 % (14965)Time elapsed: 0.082 s
% 8.66/2.44 % (14965)Instructions burned: 183 (million)
% 8.66/2.44 % (14965)------------------------------
% 8.66/2.44 % (14965)------------------------------
% 8.66/2.44 % (14964)Instruction limit reached!
% 8.66/2.44 % (14964)------------------------------
% 8.66/2.44 % (14964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.44 % (14964)Termination reason: Unknown
% 8.66/2.44 % (14964)Termination phase: Saturation
% 8.66/2.44
% 8.66/2.44 % (14964)Memory used [KB]: 6140
% 8.66/2.44 % (14964)Time elapsed: 0.102 s
% 8.66/2.44 % (14964)Instructions burned: 182 (million)
% 8.66/2.44 % (14964)------------------------------
% 8.66/2.44 % (14964)------------------------------
% 8.66/2.44 % (14959)Instruction limit reached!
% 8.66/2.44 % (14959)------------------------------
% 8.66/2.44 % (14959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.44 % (14959)Termination reason: Unknown
% 8.66/2.44 % (14959)Termination phase: Saturation
% 8.66/2.44
% 8.66/2.44 % (14959)Memory used [KB]: 6140
% 8.66/2.44 % (14959)Time elapsed: 0.121 s
% 8.66/2.44 % (14959)Instructions burned: 299 (million)
% 8.66/2.44 % (14959)------------------------------
% 8.66/2.44 % (14959)------------------------------
% 8.66/2.45 % (14976)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_14609 for (2988ds/922Mi)
% 8.66/2.45 % (14973)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_14609 for (2988ds/216Mi)
% 8.66/2.45 % (14974)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_14609 for (2988ds/114Mi)
% 8.66/2.45 % (14977)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_14609 for (2988ds/182Mi)
% 8.66/2.46 % (14971)Instruction limit reached!
% 8.66/2.46 % (14971)------------------------------
% 8.66/2.46 % (14971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.66/2.46 % (14971)Termination reason: Unknown
% 8.66/2.46 % (14971)Termination phase: Saturation
% 8.66/2.46
% 8.66/2.46 % (14971)Memory used [KB]: 6012
% 8.66/2.46 % (14971)Time elapsed: 0.066 s
% 8.66/2.46 % (14971)Instructions burned: 79 (million)
% 8.66/2.46 % (14971)------------------------------
% 8.66/2.46 % (14971)------------------------------
% 8.66/2.48 % (14981)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_14609 for (2988ds/164Mi)
% 9.10/2.50 % (14974)Instruction limit reached!
% 9.10/2.50 % (14974)------------------------------
% 9.10/2.50 % (14974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.50 % (14974)Termination reason: Unknown
% 9.10/2.50 % (14974)Termination phase: Saturation
% 9.10/2.50
% 9.10/2.50 % (14974)Memory used [KB]: 6012
% 9.10/2.50 % (14974)Time elapsed: 0.053 s
% 9.10/2.50 % (14974)Instructions burned: 114 (million)
% 9.10/2.50 % (14974)------------------------------
% 9.10/2.50 % (14974)------------------------------
% 9.10/2.50 % (14977)Instruction limit reached!
% 9.10/2.50 % (14977)------------------------------
% 9.10/2.50 % (14977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.50 % (14977)Termination reason: Unknown
% 9.10/2.50 % (14977)Termination phase: Saturation
% 9.10/2.50
% 9.10/2.50 % (14977)Memory used [KB]: 5756
% 9.10/2.50 % (14977)Time elapsed: 0.073 s
% 9.10/2.50 % (14977)Instructions burned: 182 (million)
% 9.10/2.50 % (14977)------------------------------
% 9.10/2.50 % (14977)------------------------------
% 9.10/2.52 % (14983)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_14609 for (2988ds/50Mi)
% 9.10/2.52 % (14957)Instruction limit reached!
% 9.10/2.52 % (14957)------------------------------
% 9.10/2.52 % (14957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.52 % (14957)Termination reason: Unknown
% 9.10/2.52 % (14957)Termination phase: Saturation
% 9.10/2.52
% 9.10/2.52 % (14957)Memory used [KB]: 6396
% 9.10/2.52 % (14957)Time elapsed: 0.204 s
% 9.10/2.52 % (14957)Instructions burned: 460 (million)
% 9.10/2.52 % (14957)------------------------------
% 9.10/2.52 % (14957)------------------------------
% 9.10/2.53 % (14984)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_14609 for (2988ds/368Mi)
% 9.10/2.53 % (14981)Instruction limit reached!
% 9.10/2.53 % (14981)------------------------------
% 9.10/2.53 % (14981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.53 % (14981)Termination reason: Unknown
% 9.10/2.53 % (14981)Termination phase: Saturation
% 9.10/2.53
% 9.10/2.53 % (14981)Memory used [KB]: 1279
% 9.10/2.53 % (14981)Time elapsed: 0.081 s
% 9.10/2.53 % (14981)Instructions burned: 167 (million)
% 9.10/2.53 % (14981)------------------------------
% 9.10/2.53 % (14981)------------------------------
% 9.10/2.54 % (14983)Instruction limit reached!
% 9.10/2.54 % (14983)------------------------------
% 9.10/2.54 % (14983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.54 % (14983)Termination reason: Unknown
% 9.10/2.54 % (14983)Termination phase: Saturation
% 9.10/2.54
% 9.10/2.54 % (14987)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_14609 for (2988ds/1021Mi)
% 9.10/2.54 % (14983)Memory used [KB]: 10234
% 9.10/2.54 % (14983)Time elapsed: 0.044 s
% 9.10/2.54 % (14983)Instructions burned: 50 (million)
% 9.10/2.54 % (14983)------------------------------
% 9.10/2.54 % (14983)------------------------------
% 9.10/2.55 % (14988)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_14609 for (2988ds/267Mi)
% 9.10/2.55 % (14973)Instruction limit reached!
% 9.10/2.55 % (14973)------------------------------
% 9.10/2.55 % (14973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.55 % (14973)Termination reason: Unknown
% 9.10/2.55 % (14973)Termination phase: Saturation
% 9.10/2.55
% 9.10/2.55 % (14973)Memory used [KB]: 5884
% 9.10/2.55 % (14973)Time elapsed: 0.102 s
% 9.10/2.55 % (14973)Instructions burned: 217 (million)
% 9.10/2.55 % (14973)------------------------------
% 9.10/2.55 % (14973)------------------------------
% 9.10/2.56 % (14991)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_14609 for (2987ds/204Mi)
% 9.10/2.57 % (14993)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_14609 for (2987ds/26Mi)
% 9.10/2.58 % (14993)Instruction limit reached!
% 9.10/2.58 % (14993)------------------------------
% 9.10/2.58 % (14993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.10/2.58 % (14993)Termination reason: Unknown
% 9.10/2.58 % (14993)Termination phase: Saturation
% 9.10/2.58
% 9.10/2.58 % (14993)Memory used [KB]: 5628
% 9.10/2.58 % (14993)Time elapsed: 0.013 s
% 9.10/2.58 % (14993)Instructions burned: 27 (million)
% 9.10/2.58 % (14993)------------------------------
% 9.10/2.58 % (14993)------------------------------
% 9.10/2.60 % (14995)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_14609 for (2987ds/53Mi)
% 9.72/2.62 % (14995)Instruction limit reached!
% 9.72/2.62 % (14995)------------------------------
% 9.72/2.62 % (14995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.72/2.62 % (14995)Termination reason: Unknown
% 9.72/2.62 % (14995)Termination phase: Saturation
% 9.72/2.62
% 9.72/2.62 % (14995)Memory used [KB]: 5628
% 9.72/2.62 % (14995)Time elapsed: 0.025 s
% 9.72/2.62 % (14995)Instructions burned: 54 (million)
% 9.72/2.62 % (14995)------------------------------
% 9.72/2.62 % (14995)------------------------------
% 9.72/2.63 % (14996)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_14609 for (2987ds/4436Mi)
% 9.72/2.66 % (14991)Instruction limit reached!
% 9.72/2.66 % (14991)------------------------------
% 9.72/2.66 % (14991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.72/2.66 % (14991)Termination reason: Unknown
% 9.72/2.66 % (14991)Termination phase: Saturation
% 9.72/2.66
% 9.72/2.66 % (14991)Memory used [KB]: 5884
% 9.72/2.66 % (14991)Time elapsed: 0.124 s
% 9.72/2.66 % (14991)Instructions burned: 205 (million)
% 9.72/2.66 % (14991)------------------------------
% 9.72/2.66 % (14991)------------------------------
% 9.72/2.68 % (14999)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_14609 for (2986ds/1539Mi)
% 9.72/2.68 % (14988)Instruction limit reached!
% 9.72/2.68 % (14988)------------------------------
% 9.72/2.68 % (14988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.72/2.68 % (14988)Termination reason: Unknown
% 9.72/2.68 % (14988)Termination phase: Saturation
% 9.72/2.68
% 9.72/2.68 % (14988)Memory used [KB]: 6396
% 9.72/2.68 % (14988)Time elapsed: 0.153 s
% 9.72/2.68 % (14988)Instructions burned: 267 (million)
% 9.72/2.68 % (14988)------------------------------
% 9.72/2.68 % (14988)------------------------------
% 9.72/2.69 % (14984)Instruction limit reached!
% 9.72/2.69 % (14984)------------------------------
% 9.72/2.69 % (14984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.72/2.69 % (14984)Termination reason: Unknown
% 9.72/2.69 % (14984)Termination phase: Saturation
% 9.72/2.69
% 9.72/2.69 % (14984)Memory used [KB]: 6780
% 9.72/2.69 % (14984)Time elapsed: 0.189 s
% 9.72/2.69 % (14984)Instructions burned: 368 (million)
% 9.72/2.69 % (14984)------------------------------
% 9.72/2.69 % (14984)------------------------------
% 9.72/2.69 % (15001)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_14609 for (2986ds/408Mi)
% 10.19/2.71 % (15003)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_14609 for (2986ds/5205Mi)
% 10.19/2.78 % (14963)Instruction limit reached!
% 10.19/2.78 % (14963)------------------------------
% 10.19/2.78 % (14963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.19/2.78 % (14963)Termination reason: Unknown
% 10.19/2.78 % (14963)Termination phase: Saturation
% 10.19/2.78
% 10.19/2.78 % (14963)Memory used [KB]: 7675
% 10.19/2.78 % (14963)Time elapsed: 0.437 s
% 10.19/2.78 % (14963)Instructions burned: 987 (million)
% 10.19/2.78 % (14963)------------------------------
% 10.19/2.78 % (14963)------------------------------
% 10.64/2.80 % (15006)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_14609 for (2985ds/1913Mi)
% 10.64/2.81 % (14976)Instruction limit reached!
% 10.64/2.81 % (14976)------------------------------
% 10.64/2.81 % (14976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.64/2.81 % (14976)Termination reason: Unknown
% 10.64/2.81 % (14976)Termination phase: Saturation
% 10.64/2.81
% 10.64/2.81 % (14976)Memory used [KB]: 6780
% 10.64/2.81 % (14976)Time elapsed: 0.373 s
% 10.64/2.81 % (14976)Instructions burned: 922 (million)
% 10.64/2.81 % (14976)------------------------------
% 10.64/2.81 % (14976)------------------------------
% 10.64/2.83 % (15007)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_14609 for (2985ds/4350Mi)
% 10.64/2.86 % (15001)Instruction limit reached!
% 10.64/2.86 % (15001)------------------------------
% 10.64/2.86 % (15001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.64/2.86 % (15001)Termination reason: Unknown
% 10.64/2.86 % (15001)Termination phase: Saturation
% 10.64/2.86
% 10.64/2.86 % (15001)Memory used [KB]: 6780
% 10.64/2.86 % (15001)Time elapsed: 0.167 s
% 10.64/2.86 % (15001)Instructions burned: 408 (million)
% 10.64/2.86 % (15001)------------------------------
% 10.64/2.86 % (15001)------------------------------
% 10.64/2.87 % (15010)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_14609 for (2984ds/68Mi)
% 10.64/2.89 % (15010)Instruction limit reached!
% 10.64/2.89 % (15010)------------------------------
% 10.64/2.89 % (15010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.64/2.89 % (15010)Termination reason: Unknown
% 10.64/2.89 % (15010)Termination phase: Saturation
% 10.64/2.89
% 10.64/2.89 % (15010)Memory used [KB]: 6012
% 10.64/2.89 % (15010)Time elapsed: 0.027 s
% 10.64/2.89 % (15010)Instructions burned: 68 (million)
% 10.64/2.89 % (15010)------------------------------
% 10.64/2.89 % (15010)------------------------------
% 11.21/2.91 % (15012)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_14609 for (2984ds/358Mi)
% 11.21/3.00 % (14987)Instruction limit reached!
% 11.21/3.00 % (14987)------------------------------
% 11.21/3.00 % (14987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.21/3.00 % (14987)Termination reason: Unknown
% 11.21/3.00 % (14987)Termination phase: Saturation
% 11.21/3.00
% 11.21/3.00 % (14987)Memory used [KB]: 6780
% 11.21/3.00 % (14987)Time elapsed: 0.498 s
% 11.21/3.00 % (14987)Instructions burned: 1021 (million)
% 11.21/3.00 % (14987)------------------------------
% 11.21/3.00 % (14987)------------------------------
% 13.25/3.03 % (15015)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_14609 for (2983ds/31Mi)
% 13.25/3.03 % (15012)Instruction limit reached!
% 13.25/3.03 % (15012)------------------------------
% 13.25/3.03 % (15012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.25/3.03 % (15012)Termination reason: Unknown
% 13.25/3.03 % (15012)Termination phase: Saturation
% 13.25/3.03
% 13.25/3.03 % (15012)Memory used [KB]: 6140
% 13.25/3.03 % (15012)Time elapsed: 0.120 s
% 13.25/3.03 % (15012)Instructions burned: 358 (million)
% 13.25/3.03 % (15012)------------------------------
% 13.25/3.03 % (15012)------------------------------
% 13.25/3.04 % (15015)Instruction limit reached!
% 13.25/3.04 % (15015)------------------------------
% 13.25/3.04 % (15015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.25/3.04 % (15015)Termination reason: Unknown
% 13.25/3.04 % (15015)Termination phase: Saturation
% 13.25/3.04
% 13.25/3.04 % (15015)Memory used [KB]: 5756
% 13.25/3.04 % (15015)Time elapsed: 0.018 s
% 13.25/3.04 % (15015)Instructions burned: 33 (million)
% 13.25/3.04 % (15015)------------------------------
% 13.25/3.04 % (15015)------------------------------
% 13.25/3.04 % (15016)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_14609 for (2982ds/279Mi)
% 13.25/3.06 % (15017)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_14609 for (2982ds/258Mi)
% 13.82/3.14 % (15016)Instruction limit reached!
% 13.82/3.14 % (15016)------------------------------
% 13.82/3.14 % (15016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.82/3.14 % (15016)Termination reason: Unknown
% 13.82/3.14 % (15016)Termination phase: Saturation
% 13.82/3.14
% 13.82/3.14 % (15016)Memory used [KB]: 5884
% 13.82/3.14 % (15016)Time elapsed: 0.100 s
% 13.82/3.14 % (15016)Instructions burned: 279 (million)
% 13.82/3.14 % (15016)------------------------------
% 13.82/3.14 % (15016)------------------------------
% 13.82/3.15 % (15022)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_14609 for (2981ds/26Mi)
% 13.82/3.16 % (15022)Instruction limit reached!
% 13.82/3.16 % (15022)------------------------------
% 13.82/3.16 % (15022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.82/3.16 % (15022)Termination reason: Unknown
% 13.82/3.16 % (15022)Termination phase: Saturation
% 13.82/3.16
% 13.82/3.16 % (15022)Memory used [KB]: 5628
% 13.82/3.16 % (15022)Time elapsed: 0.009 s
% 13.82/3.16 % (15022)Instructions burned: 28 (million)
% 13.82/3.16 % (15022)------------------------------
% 13.82/3.16 % (15022)------------------------------
% 13.82/3.17 % (15023)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_14609 for (2981ds/995Mi)
% 13.82/3.19 % (15017)Instruction limit reached!
% 13.82/3.19 % (15017)------------------------------
% 13.82/3.19 % (15017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.82/3.19 % (15017)Termination reason: Unknown
% 13.82/3.19 % (15017)Termination phase: Saturation
% 13.82/3.19
% 13.82/3.19 % (15017)Memory used [KB]: 6012
% 13.82/3.19 % (15017)Time elapsed: 0.127 s
% 13.82/3.19 % (15017)Instructions burned: 259 (million)
% 13.82/3.19 % (15017)------------------------------
% 13.82/3.19 % (15017)------------------------------
% 14.45/3.20 % (15024)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_14609 for (2981ds/373Mi)
% 14.45/3.26 % (14999)Instruction limit reached!
% 14.45/3.26 % (14999)------------------------------
% 14.45/3.26 % (14999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.45/3.26 % (14999)Termination reason: Unknown
% 14.45/3.26 % (14999)Termination phase: Saturation
% 14.45/3.26
% 14.45/3.26 % (14999)Memory used [KB]: 7931
% 14.45/3.26 % (14999)Time elapsed: 0.597 s
% 14.45/3.26 % (14999)Instructions burned: 1539 (million)
% 14.45/3.26 % (14999)------------------------------
% 14.45/3.26 % (14999)------------------------------
% 14.45/3.28 % (15028)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_14609 for (2980ds/253Mi)
% 14.92/3.34 % (15024)Instruction limit reached!
% 14.92/3.34 % (15024)------------------------------
% 14.92/3.34 % (15024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.92/3.34 % (15024)Termination reason: Unknown
% 14.92/3.34 % (15024)Termination phase: Saturation
% 14.92/3.34
% 14.92/3.34 % (15024)Memory used [KB]: 6652
% 14.92/3.34 % (15024)Time elapsed: 0.141 s
% 14.92/3.34 % (15024)Instructions burned: 373 (million)
% 14.92/3.34 % (15024)------------------------------
% 14.92/3.34 % (15024)------------------------------
% 14.92/3.37 % (15031)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_14609 for (2979ds/832Mi)
% 14.92/3.40 % (15028)Instruction limit reached!
% 14.92/3.40 % (15028)------------------------------
% 14.92/3.40 % (15028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.92/3.40 % (15028)Termination reason: Unknown
% 14.92/3.40 % (15028)Termination phase: Saturation
% 14.92/3.40
% 14.92/3.40 % (15028)Memory used [KB]: 5884
% 14.92/3.40 % (15028)Time elapsed: 0.115 s
% 14.92/3.40 % (15028)Instructions burned: 254 (million)
% 14.92/3.40 % (15028)------------------------------
% 14.92/3.40 % (15028)------------------------------
% 15.48/3.41 % (15032)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_14609 for (2979ds/668Mi)
% 16.01/3.58 % (15023)Instruction limit reached!
% 16.01/3.58 % (15023)------------------------------
% 16.01/3.58 % (15023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.01/3.58 % (15023)Termination reason: Unknown
% 16.01/3.58 % (15023)Termination phase: Saturation
% 16.01/3.58
% 16.01/3.58 % (15023)Memory used [KB]: 6012
% 16.01/3.58 % (15023)Time elapsed: 0.414 s
% 16.01/3.58 % (15023)Instructions burned: 996 (million)
% 16.01/3.58 % (15023)------------------------------
% 16.01/3.58 % (15023)------------------------------
% 16.82/3.60 % (15038)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_14609 for (2977ds/40Mi)
% 16.82/3.61 % (15006)Instruction limit reached!
% 16.82/3.61 % (15006)------------------------------
% 16.82/3.61 % (15006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.82/3.61 % (15006)Termination reason: Unknown
% 16.82/3.61 % (15006)Termination phase: Saturation
% 16.82/3.61
% 16.82/3.61 % (15006)Memory used [KB]: 2558
% 16.82/3.61 % (15006)Time elapsed: 0.813 s
% 16.82/3.61 % (15006)Instructions burned: 1913 (million)
% 16.82/3.61 % (15006)------------------------------
% 16.82/3.61 % (15006)------------------------------
% 16.82/3.62 % (15038)Instruction limit reached!
% 16.82/3.62 % (15038)------------------------------
% 16.82/3.62 % (15038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.82/3.62 % (15038)Termination reason: Unknown
% 16.82/3.62 % (15038)Termination phase: Saturation
% 16.82/3.62
% 16.82/3.62 % (15038)Memory used [KB]: 5628
% 16.82/3.62 % (15038)Time elapsed: 0.020 s
% 16.82/3.62 % (15038)Instructions burned: 40 (million)
% 16.82/3.62 % (15038)------------------------------
% 16.82/3.62 % (15038)------------------------------
% 16.82/3.62 % (15039)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_14609 for (2977ds/294Mi)
% 16.82/3.64 % (15041)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_14609 for (2977ds/187Mi)
% 16.82/3.65 % (15031)Instruction limit reached!
% 16.82/3.65 % (15031)------------------------------
% 16.82/3.65 % (15031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.82/3.65 % (15031)Termination reason: Unknown
% 16.82/3.65 % (15031)Termination phase: Saturation
% 16.82/3.65
% 16.82/3.65 % (15031)Memory used [KB]: 5884
% 16.82/3.65 % (15031)Time elapsed: 0.316 s
% 16.82/3.65 % (15031)Instructions burned: 832 (million)
% 16.82/3.65 % (15031)------------------------------
% 16.82/3.65 % (15031)------------------------------
% 16.82/3.67 % (15042)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_14609 for (2976ds/371Mi)
% 17.46/3.71 % (15032)Instruction limit reached!
% 17.46/3.71 % (15032)------------------------------
% 17.46/3.71 % (15032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.71 % (15032)Termination reason: Unknown
% 17.46/3.71 % (15032)Termination phase: Saturation
% 17.46/3.71
% 17.46/3.71 % (15032)Memory used [KB]: 11001
% 17.46/3.71 % (15032)Time elapsed: 0.308 s
% 17.46/3.71 % (15032)Instructions burned: 671 (million)
% 17.46/3.71 % (15032)------------------------------
% 17.46/3.71 % (15032)------------------------------
% 17.46/3.73 % (15044)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_14609 for (2976ds/1827Mi)
% 17.46/3.73 % (15039)Instruction limit reached!
% 17.46/3.73 % (15039)------------------------------
% 17.46/3.73 % (15039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.73 % (15039)Termination reason: Unknown
% 17.46/3.73 % (15039)Termination phase: Saturation
% 17.46/3.73
% 17.46/3.73 % (15039)Memory used [KB]: 6268
% 17.46/3.73 % (15039)Time elapsed: 0.110 s
% 17.46/3.73 % (15039)Instructions burned: 297 (million)
% 17.46/3.73 % (15039)------------------------------
% 17.46/3.73 % (15039)------------------------------
% 17.46/3.74 % (15041)Instruction limit reached!
% 17.46/3.74 % (15041)------------------------------
% 17.46/3.74 % (15041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.74 % (15041)Termination reason: Unknown
% 17.46/3.74 % (15041)Termination phase: Saturation
% 17.46/3.74
% 17.46/3.74 % (15041)Memory used [KB]: 6268
% 17.46/3.74 % (15041)Time elapsed: 0.112 s
% 17.46/3.74 % (15041)Instructions burned: 189 (million)
% 17.46/3.74 % (15041)------------------------------
% 17.46/3.74 % (15041)------------------------------
% 17.46/3.74 % (15045)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_14609 for (2975ds/70Mi)
% 17.46/3.75 % (15046)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_14609 for (2975ds/316Mi)
% 17.46/3.76 % (15045)Instruction limit reached!
% 17.46/3.76 % (15045)------------------------------
% 17.46/3.76 % (15045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.46/3.76 % (15045)Termination reason: Unknown
% 17.46/3.76 % (15045)Termination phase: Saturation
% 17.46/3.76
% 17.46/3.76 % (15045)Memory used [KB]: 1279
% 17.46/3.76 % (15045)Time elapsed: 0.020 s
% 17.46/3.76 % (15045)Instructions burned: 70 (million)
% 17.46/3.76 % (15045)------------------------------
% 17.46/3.76 % (15045)------------------------------
% 17.46/3.77 % (15047)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_14609 for (2975ds/932Mi)
% 18.26/3.84 % (15046)Instruction limit reached!
% 18.26/3.84 % (15046)------------------------------
% 18.26/3.84 % (15046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.26/3.84 % (15046)Termination reason: Unknown
% 18.26/3.84 % (15046)Termination phase: Saturation
% 18.26/3.84
% 18.26/3.84 % (15046)Memory used [KB]: 5884
% 18.26/3.84 % (15046)Time elapsed: 0.090 s
% 18.26/3.84 % (15046)Instructions burned: 319 (million)
% 18.26/3.84 % (15046)------------------------------
% 18.26/3.84 % (15046)------------------------------
% 18.26/3.85 % (15048)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_14609 for (2974ds/4714Mi)
% 18.26/3.86 % (15042)Instruction limit reached!
% 18.26/3.86 % (15042)------------------------------
% 18.26/3.86 % (15042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.26/3.86 % (15042)Termination reason: Unknown
% 18.26/3.86 % (15042)Termination phase: Saturation
% 18.26/3.86
% 18.26/3.86 % (15042)Memory used [KB]: 6908
% 18.26/3.86 % (15042)Time elapsed: 0.190 s
% 18.26/3.86 % (15042)Instructions burned: 371 (million)
% 18.26/3.86 % (15042)------------------------------
% 18.26/3.86 % (15042)------------------------------
% 18.26/3.89 % (15049)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_14609 for (2974ds/8250Mi)
% 20.00/4.06 % (15047)Instruction limit reached!
% 20.00/4.06 % (15047)------------------------------
% 20.00/4.06 % (15047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.00/4.06 % (15047)Termination reason: Unknown
% 20.00/4.06 % (15047)Termination phase: Saturation
% 20.00/4.06
% 20.00/4.06 % (15047)Memory used [KB]: 7164
% 20.00/4.06 % (15047)Time elapsed: 0.299 s
% 20.00/4.06 % (15047)Instructions burned: 934 (million)
% 20.00/4.06 % (15047)------------------------------
% 20.00/4.06 % (15047)------------------------------
% 20.00/4.07 % (15051)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_14609 for (2972ds/770Mi)
% 21.76/4.32 % (15051)Instruction limit reached!
% 21.76/4.32 % (15051)------------------------------
% 21.76/4.32 % (15051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.76/4.32 % (15051)Termination reason: Unknown
% 21.76/4.32 % (15051)Termination phase: Saturation
% 21.76/4.32
% 21.76/4.32 % (15051)Memory used [KB]: 6268
% 21.76/4.32 % (15051)Time elapsed: 0.252 s
% 21.76/4.32 % (15051)Instructions burned: 770 (million)
% 21.76/4.32 % (15051)------------------------------
% 21.76/4.32 % (15051)------------------------------
% 21.76/4.34 % (15054)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_14609 for (2970ds/794Mi)
% 23.21/4.57 % (15044)Instruction limit reached!
% 23.21/4.57 % (15044)------------------------------
% 23.21/4.57 % (15044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.21/4.57 % (15044)Termination reason: Unknown
% 23.21/4.57 % (15044)Termination phase: Saturation
% 23.21/4.57
% 23.21/4.57 % (15044)Memory used [KB]: 7547
% 23.21/4.57 % (15044)Time elapsed: 0.841 s
% 23.21/4.57 % (15044)Instructions burned: 1828 (million)
% 23.21/4.57 % (15044)------------------------------
% 23.21/4.57 % (15044)------------------------------
% 23.21/4.59 % (15058)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_14609 for (2967ds/464Mi)
% 23.78/4.60 % (14996)Instruction limit reached!
% 23.78/4.60 % (14996)------------------------------
% 23.78/4.60 % (14996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.78/4.60 % (14996)Termination reason: Unknown
% 23.78/4.60 % (14996)Termination phase: Saturation
% 23.78/4.60
% 23.78/4.60 % (14996)Memory used [KB]: 8571
% 23.78/4.60 % (14996)Time elapsed: 1.995 s
% 23.78/4.60 % (14996)Instructions burned: 4436 (million)
% 23.78/4.60 % (14996)------------------------------
% 23.78/4.60 % (14996)------------------------------
% 23.78/4.62 % (15060)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_14609 for (2967ds/1376Mi)
% 23.78/4.63 % (15007)Instruction limit reached!
% 23.78/4.63 % (15007)------------------------------
% 23.78/4.63 % (15007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 23.78/4.63 % (15007)Termination reason: Unknown
% 23.78/4.63 % (15007)Termination phase: Saturation
% 23.78/4.63
% 23.78/4.63 % (15007)Memory used [KB]: 10874
% 23.78/4.63 % (15007)Time elapsed: 1.797 s
% 23.78/4.63 % (15007)Instructions burned: 4351 (million)
% 23.78/4.63 % (15007)------------------------------
% 23.78/4.63 % (15007)------------------------------
% 23.78/4.65 % (15061)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_14609 for (2966ds/906Mi)
% 24.09/4.70 % (15054)Instruction limit reached!
% 24.09/4.70 % (15054)------------------------------
% 24.09/4.70 % (15054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.09/4.70 % (15054)Termination reason: Unknown
% 24.09/4.70 % (15054)Termination phase: Saturation
% 24.09/4.70
% 24.09/4.70 % (15054)Memory used [KB]: 3582
% 24.09/4.70 % (15054)Time elapsed: 0.390 s
% 24.09/4.70 % (15054)Instructions burned: 795 (million)
% 24.09/4.70 % (15054)------------------------------
% 24.09/4.70 % (15054)------------------------------
% 24.09/4.72 % (15062)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_14609 for (2966ds/434Mi)
% 24.72/4.86 % (15003)Instruction limit reached!
% 24.72/4.86 % (15003)------------------------------
% 24.72/4.86 % (15003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.86 % (15003)Termination reason: Unknown
% 24.72/4.86 % (15003)Termination phase: Saturation
% 24.72/4.86
% 24.72/4.86 % (15003)Memory used [KB]: 17142
% 24.72/4.86 % (15003)Time elapsed: 2.149 s
% 24.72/4.86 % (15003)Instructions burned: 5206 (million)
% 24.72/4.86 % (15003)------------------------------
% 24.72/4.86 % (15003)------------------------------
% 24.72/4.87 % (15064)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_14609 for (2964ds/865Mi)
% 24.72/4.88 % (15058)Instruction limit reached!
% 24.72/4.88 % (15058)------------------------------
% 24.72/4.88 % (15058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 24.72/4.88 % (15058)Termination reason: Unknown
% 24.72/4.88 % (15058)Termination phase: Saturation
% 24.72/4.88
% 24.72/4.88 % (15058)Memory used [KB]: 6652
% 24.72/4.88 % (15058)Time elapsed: 0.319 s
% 24.72/4.88 % (15058)Instructions burned: 465 (million)
% 24.72/4.88 % (15058)------------------------------
% 24.72/4.88 % (15058)------------------------------
% 24.72/4.89 % (15065)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_14609 for (2964ds/593Mi)
% 25.11/4.92 % (15062)Instruction limit reached!
% 25.11/4.92 % (15062)------------------------------
% 25.11/4.92 % (15062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 25.11/4.92 % (15062)Termination reason: Unknown
% 25.11/4.92 % (15062)Termination phase: Saturation
% 25.11/4.92
% 25.11/4.92 % (15062)Memory used [KB]: 6268
% 25.11/4.92 % (15062)Time elapsed: 0.198 s
% 25.11/4.92 % (15062)Instructions burned: 434 (million)
% 25.11/4.92 % (15062)------------------------------
% 25.11/4.92 % (15062)------------------------------
% 25.11/4.94 % (15067)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_14609 for (2964ds/443Mi)
% 26.72/5.07 % (15061)Instruction limit reached!
% 26.72/5.07 % (15061)------------------------------
% 26.72/5.07 % (15061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.07 % (15061)Termination reason: Unknown
% 26.72/5.07 % (15061)Termination phase: Saturation
% 26.72/5.07
% 26.72/5.07 % (15061)Memory used [KB]: 8187
% 26.72/5.07 % (15061)Time elapsed: 0.426 s
% 26.72/5.07 % (15061)Instructions burned: 907 (million)
% 26.72/5.07 % (15061)------------------------------
% 26.72/5.07 % (15061)------------------------------
% 26.72/5.09 % (15072)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_14609 for (2962ds/594Mi)
% 26.72/5.11 % (15067)Instruction limit reached!
% 26.72/5.11 % (15067)------------------------------
% 26.72/5.11 % (15067)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 26.72/5.11 % (15067)Termination reason: Unknown
% 26.72/5.11 % (15067)Termination phase: Saturation
% 26.72/5.11
% 26.72/5.11 % (15067)Memory used [KB]: 6524
% 26.72/5.11 % (15067)Time elapsed: 0.170 s
% 26.72/5.11 % (15067)Instructions burned: 444 (million)
% 26.72/5.11 % (15067)------------------------------
% 26.72/5.11 % (15067)------------------------------
% 26.72/5.12 % (15073)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_14609 for (2962ds/327Mi)
% 27.40/5.15 % (15065)Instruction limit reached!
% 27.40/5.15 % (15065)------------------------------
% 27.40/5.15 % (15065)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.40/5.15 % (15065)Termination reason: Unknown
% 27.40/5.15 % (15065)Termination phase: Saturation
% 27.40/5.15
% 27.40/5.15 % (15065)Memory used [KB]: 5884
% 27.40/5.15 % (15065)Time elapsed: 0.258 s
% 27.40/5.15 % (15065)Instructions burned: 595 (million)
% 27.40/5.15 % (15065)------------------------------
% 27.40/5.15 % (15065)------------------------------
% 27.40/5.17 % (15075)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_14609 for (2961ds/5411Mi)
% 27.40/5.18 % (15064)Instruction limit reached!
% 27.40/5.18 % (15064)------------------------------
% 27.40/5.18 % (15064)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.40/5.18 % (15064)Termination reason: Unknown
% 27.40/5.18 % (15064)Termination phase: Saturation
% 27.40/5.18
% 27.40/5.18 % (15064)Memory used [KB]: 8571
% 27.40/5.18 % (15064)Time elapsed: 0.306 s
% 27.40/5.18 % (15064)Instructions burned: 868 (million)
% 27.40/5.18 % (15064)------------------------------
% 27.40/5.18 % (15064)------------------------------
% 27.40/5.19 % (15078)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_14609 for (2961ds/1762Mi)
% 27.70/5.27 % (15073)Instruction limit reached!
% 27.70/5.27 % (15073)------------------------------
% 27.70/5.27 % (15073)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.70/5.27 % (15073)Termination reason: Unknown
% 27.70/5.27 % (15073)Termination phase: Saturation
% 27.70/5.27
% 27.70/5.27 % (15073)Memory used [KB]: 5756
% 27.70/5.27 % (15073)Time elapsed: 0.149 s
% 27.70/5.27 % (15073)Instructions burned: 329 (million)
% 27.70/5.27 % (15073)------------------------------
% 27.70/5.27 % (15073)------------------------------
% 27.70/5.29 % (15081)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_14609 for (2960ds/96Mi)
% 27.70/5.30 % (15060)Instruction limit reached!
% 27.70/5.30 % (15060)------------------------------
% 27.70/5.30 % (15060)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.70/5.30 % (15060)Termination reason: Unknown
% 27.70/5.30 % (15060)Termination phase: Saturation
% 27.70/5.30
% 27.70/5.30 % (15060)Memory used [KB]: 10746
% 27.70/5.30 % (15060)Time elapsed: 0.678 s
% 27.70/5.30 % (15060)Instructions burned: 1377 (million)
% 27.70/5.30 % (15060)------------------------------
% 27.70/5.30 % (15060)------------------------------
% 27.49/5.32 % (15082)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_14609 for (2960ds/503Mi)
% 27.49/5.33 % (15081)Instruction limit reached!
% 27.49/5.33 % (15081)------------------------------
% 27.49/5.33 % (15081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.33 % (15081)Termination reason: Unknown
% 27.49/5.33 % (15081)Termination phase: Saturation
% 27.49/5.33
% 27.49/5.33 % (15081)Memory used [KB]: 5884
% 27.49/5.33 % (15081)Time elapsed: 0.048 s
% 27.49/5.33 % (15081)Instructions burned: 96 (million)
% 27.49/5.33 % (15081)------------------------------
% 27.49/5.33 % (15081)------------------------------
% 27.49/5.34 % (15072)Instruction limit reached!
% 27.49/5.34 % (15072)------------------------------
% 27.49/5.34 % (15072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.34 % (15072)Termination reason: Unknown
% 27.49/5.34 % (15072)Termination phase: Saturation
% 27.49/5.34
% 27.49/5.34 % (15072)Memory used [KB]: 6780
% 27.49/5.34 % (15072)Time elapsed: 0.250 s
% 27.49/5.34 % (15072)Instructions burned: 594 (million)
% 27.49/5.34 % (15072)------------------------------
% 27.49/5.34 % (15072)------------------------------
% 27.49/5.35 % (15083)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_14609 for (2959ds/90Mi)
% 27.49/5.35 % (15084)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_14609 for (2959ds/593Mi)
% 27.49/5.39 % (15083)Instruction limit reached!
% 27.49/5.39 % (15083)------------------------------
% 27.49/5.39 % (15083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 27.49/5.39 % (15083)Termination reason: Unknown
% 27.49/5.39 % (15083)Termination phase: Saturation
% 27.49/5.39
% 27.49/5.39 % (15083)Memory used [KB]: 6012
% 27.49/5.39 % (15083)Time elapsed: 0.042 s
% 27.49/5.39 % (15083)Instructions burned: 91 (million)
% 27.49/5.39 % (15083)------------------------------
% 27.49/5.39 % (15083)------------------------------
% 28.77/5.40 % (15086)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_14609 for (2959ds/1512Mi)
% 28.97/5.58 % (15082)Instruction limit reached!
% 28.97/5.58 % (15082)------------------------------
% 28.97/5.58 % (15082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 28.97/5.58 % (15082)Termination reason: Unknown
% 28.97/5.58 % (15082)Termination phase: Saturation
% 28.97/5.58
% 28.97/5.58 % (15082)Memory used [KB]: 6780
% 28.97/5.58 % (15082)Time elapsed: 0.286 s
% 28.97/5.58 % (15082)Instructions burned: 504 (million)
% 28.97/5.58 % (15082)------------------------------
% 28.97/5.58 % (15082)------------------------------
% 28.97/5.59 % (15090)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_14609 for (2957ds/569Mi)
% 29.42/5.63 % (15084)Instruction limit reached!
% 29.42/5.63 % (15084)------------------------------
% 29.42/5.63 % (15084)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 29.42/5.63 % (15084)Termination reason: Unknown
% 29.42/5.63 % (15084)Termination phase: Saturation
% 29.42/5.63
% 29.42/5.63 % (15084)Memory used [KB]: 6908
% 29.42/5.63 % (15084)Time elapsed: 0.283 s
% 29.42/5.63 % (15084)Instructions burned: 594 (million)
% 29.42/5.63 % (15084)------------------------------
% 29.42/5.63 % (15084)------------------------------
% 29.42/5.65 % (15092)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_14609 for (2956ds/501Mi)
% 30.13/5.82 % (15090)Instruction limit reached!
% 30.13/5.82 % (15090)------------------------------
% 30.13/5.82 % (15090)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.82 % (15090)Termination reason: Unknown
% 30.13/5.82 % (15090)Termination phase: Saturation
% 30.13/5.82
% 30.13/5.82 % (15090)Memory used [KB]: 6012
% 30.13/5.82 % (15090)Time elapsed: 0.228 s
% 30.13/5.82 % (15090)Instructions burned: 569 (million)
% 30.13/5.82 % (15090)------------------------------
% 30.13/5.82 % (15090)------------------------------
% 30.13/5.83 % (15096)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_14609 for (2955ds/562Mi)
% 30.13/5.85 % (15078)Instruction limit reached!
% 30.13/5.85 % (15078)------------------------------
% 30.13/5.85 % (15078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.85 % (15078)Termination reason: Unknown
% 30.13/5.85 % (15078)Termination phase: Saturation
% 30.13/5.85
% 30.13/5.85 % (15078)Memory used [KB]: 7931
% 30.13/5.85 % (15078)Time elapsed: 0.678 s
% 30.13/5.85 % (15078)Instructions burned: 1762 (million)
% 30.13/5.85 % (15078)------------------------------
% 30.13/5.85 % (15078)------------------------------
% 30.13/5.87 % (15092)Instruction limit reached!
% 30.13/5.87 % (15092)------------------------------
% 30.13/5.87 % (15092)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 30.13/5.87 % (15092)Termination reason: Unknown
% 30.13/5.87 % (15092)Termination phase: Saturation
% 30.13/5.87
% 30.13/5.87 % (15092)Memory used [KB]: 6268
% 30.13/5.87 % (15092)Time elapsed: 0.221 s
% 30.13/5.87 % (15092)Instructions burned: 501 (million)
% 30.13/5.87 % (15092)------------------------------
% 30.13/5.87 % (15092)------------------------------
% 30.13/5.87 % (15099)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_14609 for (2954ds/406Mi)
% 30.13/5.89 % (15100)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_14609 for (2954ds/582Mi)
% 31.45/5.92 % (15099)Refutation not found, incomplete strategy
% 31.45/5.92 % (15099)------------------------------
% 31.45/5.92 % (15099)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.45/5.92 % (15099)Termination reason: Refutation not found, incomplete strategy
% 31.45/5.92
% 31.45/5.92
% 31.45/5.92 % (15099)Memory used [KB]: 6140
% 31.45/5.92 % (15099)Time elapsed: 0.051 s
% 31.45/5.92 % (15099)Instructions burned: 93 (million)
% 31.45/5.92 % (15099)------------------------------
% 31.45/5.92 % (15099)------------------------------
% 31.45/5.94 % (15101)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_14609 for (2954ds/456Mi)
% 31.45/6.01 % (15048)Instruction limit reached!
% 31.45/6.01 % (15048)------------------------------
% 31.45/6.01 % (15048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 31.45/6.01 % (15048)Termination reason: Unknown
% 31.45/6.01 % (15048)Termination phase: Saturation
% 31.45/6.01
% 31.45/6.01 % (15048)Memory used [KB]: 12409
% 31.45/6.01 % (15048)Time elapsed: 2.175 s
% 31.45/6.01 % (15048)Instructions burned: 4715 (million)
% 31.45/6.01 % (15048)------------------------------
% 31.45/6.01 % (15048)------------------------------
% 33.60/6.02 % (15104)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_14609 for (2953ds/393Mi)
% 33.60/6.05 % (15086)Instruction limit reached!
% 33.60/6.05 % (15086)------------------------------
% 33.60/6.05 % (15086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.60/6.05 % (15086)Termination reason: Unknown
% 33.60/6.05 % (15086)Termination phase: Saturation
% 33.60/6.05
% 33.60/6.05 % (15086)Memory used [KB]: 6652
% 33.60/6.05 % (15086)Time elapsed: 0.654 s
% 33.60/6.05 % (15086)Instructions burned: 1512 (million)
% 33.60/6.05 % (15086)------------------------------
% 33.60/6.05 % (15086)------------------------------
% 33.60/6.07 % (15106)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_14609 for (2952ds/1335Mi)
% 33.60/6.08 % (15096)Instruction limit reached!
% 33.60/6.08 % (15096)------------------------------
% 33.60/6.08 % (15096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 33.60/6.08 % (15096)Termination reason: Unknown
% 33.60/6.08 % (15096)Termination phase: Saturation
% 33.60/6.08
% 33.60/6.08 % (15096)Memory used [KB]: 7291
% 33.60/6.08 % (15096)Time elapsed: 0.251 s
% 33.60/6.08 % (15096)Instructions burned: 562 (million)
% 33.60/6.08 % (15096)------------------------------
% 33.60/6.08 % (15096)------------------------------
% 33.60/6.10 % (15107)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_14609 for (2952ds/3373Mi)
% 34.17/6.16 % (15101)Instruction limit reached!
% 34.17/6.16 % (15101)------------------------------
% 34.17/6.16 % (15101)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.17/6.16 % (15101)Termination reason: Unknown
% 34.17/6.16 % (15101)Termination phase: Saturation
% 34.17/6.16
% 34.17/6.16 % (15101)Memory used [KB]: 6908
% 34.17/6.16 % (15101)Time elapsed: 0.246 s
% 34.17/6.16 % (15101)Instructions burned: 456 (million)
% 34.17/6.16 % (15101)------------------------------
% 34.17/6.16 % (15101)------------------------------
% 34.17/6.16 % (15100)Instruction limit reached!
% 34.17/6.16 % (15100)------------------------------
% 34.17/6.16 % (15100)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.17/6.16 % (15100)Termination reason: Unknown
% 34.17/6.16 % (15100)Termination phase: Saturation
% 34.17/6.16
% 34.17/6.16 % (15100)Memory used [KB]: 6268
% 34.17/6.16 % (15100)Time elapsed: 0.280 s
% 34.17/6.16 % (15100)Instructions burned: 582 (million)
% 34.17/6.16 % (15100)------------------------------
% 34.17/6.16 % (15100)------------------------------
% 34.17/6.18 % (15111)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_14609 for (2951ds/157Mi)
% 34.17/6.19 % (15110)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_14609 for (2951ds/474Mi)
% 34.46/6.20 % (15104)Instruction limit reached!
% 34.46/6.20 % (15104)------------------------------
% 34.46/6.20 % (15104)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.46/6.20 % (15104)Termination reason: Unknown
% 34.46/6.20 % (15104)Termination phase: Saturation
% 34.46/6.20
% 34.46/6.20 % (15104)Memory used [KB]: 6652
% 34.46/6.20 % (15104)Time elapsed: 0.175 s
% 34.46/6.20 % (15104)Instructions burned: 393 (million)
% 34.46/6.20 % (15104)------------------------------
% 34.46/6.20 % (15104)------------------------------
% 34.46/6.21 % (15112)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_14609 for (2951ds/590Mi)
% 34.46/6.25 % (15111)Instruction limit reached!
% 34.46/6.25 % (15111)------------------------------
% 34.46/6.25 % (15111)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.46/6.25 % (15111)Termination reason: Unknown
% 34.46/6.25 % (15111)Termination phase: Saturation
% 34.46/6.25
% 34.46/6.25 % (15111)Memory used [KB]: 6012
% 34.46/6.25 % (15111)Time elapsed: 0.069 s
% 34.46/6.25 % (15111)Instructions burned: 159 (million)
% 34.46/6.25 % (15111)------------------------------
% 34.46/6.25 % (15111)------------------------------
% 34.46/6.26 % (15114)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_14609 for (2950ds/104Mi)
% 34.92/6.32 % (15114)Instruction limit reached!
% 34.92/6.32 % (15114)------------------------------
% 34.92/6.32 % (15114)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 34.92/6.32 % (15114)Termination reason: Unknown
% 34.92/6.32 % (15114)Termination phase: Saturation
% 34.92/6.32
% 34.92/6.32 % (15114)Memory used [KB]: 6012
% 34.92/6.32 % (15114)Time elapsed: 0.054 s
% 34.92/6.32 % (15114)Instructions burned: 105 (million)
% 34.92/6.32 % (15114)------------------------------
% 34.92/6.32 % (15114)------------------------------
% 34.92/6.33 % (15116)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_14609 for (2950ds/414Mi)
% 35.19/6.42 % (15110)Instruction limit reached!
% 35.19/6.42 % (15110)------------------------------
% 35.19/6.42 % (15110)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.19/6.42 % (15110)Termination reason: Unknown
% 35.19/6.42 % (15110)Termination phase: Saturation
% 35.19/6.42
% 35.19/6.42 % (15110)Memory used [KB]: 6652
% 35.19/6.42 % (15110)Time elapsed: 0.232 s
% 35.19/6.42 % (15110)Instructions burned: 474 (million)
% 35.19/6.42 % (15110)------------------------------
% 35.19/6.42 % (15110)------------------------------
% 35.19/6.44 % (15119)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_14609 for (2948ds/715Mi)
% 35.19/6.49 % (15112)Instruction limit reached!
% 35.19/6.49 % (15112)------------------------------
% 35.19/6.49 % (15112)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.19/6.49 % (15112)Termination reason: Unknown
% 35.19/6.49 % (15112)Termination phase: Saturation
% 35.19/6.49
% 35.19/6.49 % (15112)Memory used [KB]: 6524
% 35.19/6.49 % (15112)Time elapsed: 0.276 s
% 35.19/6.49 % (15112)Instructions burned: 592 (million)
% 35.19/6.49 % (15112)------------------------------
% 35.19/6.49 % (15112)------------------------------
% 35.92/6.50 % (15120)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_14609 for (2948ds/961Mi)
% 35.92/6.51 % (15116)Instruction limit reached!
% 35.92/6.51 % (15116)------------------------------
% 35.92/6.51 % (15116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 35.92/6.51 % (15116)Termination reason: Unknown
% 35.92/6.51 % (15116)Termination phase: Saturation
% 35.92/6.51
% 35.92/6.51 % (15116)Memory used [KB]: 5756
% 35.92/6.51 % (15116)Time elapsed: 0.180 s
% 35.92/6.51 % (15116)Instructions burned: 415 (million)
% 35.92/6.51 % (15116)------------------------------
% 35.92/6.51 % (15116)------------------------------
% 35.92/6.52 % (15121)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_14609 for (2948ds/1213Mi)
% 36.32/6.60 % (15106)Instruction limit reached!
% 36.32/6.60 % (15106)------------------------------
% 36.32/6.60 % (15106)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 36.32/6.60 % (15106)Termination reason: Unknown
% 36.32/6.60 % (15106)Termination phase: Saturation
% 36.32/6.60
% 36.32/6.60 % (15106)Memory used [KB]: 6908
% 36.32/6.60 % (15106)Time elapsed: 0.531 s
% 36.32/6.60 % (15106)Instructions burned: 1335 (million)
% 36.32/6.60 % (15106)------------------------------
% 36.32/6.60 % (15106)------------------------------
% 36.32/6.61 % (15123)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_14609 for (2947ds/1979Mi)
% 37.06/6.77 % (15119)Instruction limit reached!
% 37.06/6.77 % (15119)------------------------------
% 37.06/6.77 % (15119)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.06/6.77 % (15119)Termination reason: Unknown
% 37.06/6.77 % (15119)Termination phase: Saturation
% 37.06/6.77
% 37.06/6.77 % (15119)Memory used [KB]: 2302
% 37.06/6.77 % (15119)Time elapsed: 0.330 s
% 37.06/6.77 % (15119)Instructions burned: 715 (million)
% 37.06/6.77 % (15119)------------------------------
% 37.06/6.77 % (15119)------------------------------
% 37.06/6.78 % (15125)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_14609 for (2945ds/481Mi)
% 37.81/6.93 % (15121)Instruction limit reached!
% 37.81/6.93 % (15121)------------------------------
% 37.81/6.93 % (15121)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.81/6.93 % (15121)Termination reason: Unknown
% 37.81/6.93 % (15121)Termination phase: Saturation
% 37.81/6.93
% 37.81/6.93 % (15121)Memory used [KB]: 7291
% 37.81/6.93 % (15121)Time elapsed: 0.408 s
% 37.81/6.93 % (15121)Instructions burned: 1214 (million)
% 37.81/6.93 % (15121)------------------------------
% 37.81/6.93 % (15121)------------------------------
% 37.81/6.94 % (15129)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_14609 for (2943ds/783Mi)
% 37.81/6.96 % (15120)Instruction limit reached!
% 37.81/6.96 % (15120)------------------------------
% 37.81/6.96 % (15120)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.81/6.96 % (15120)Termination reason: Unknown
% 37.81/6.96 % (15120)Termination phase: Saturation
% 37.81/6.96
% 37.81/6.96 % (15120)Memory used [KB]: 7419
% 37.81/6.96 % (15120)Time elapsed: 0.467 s
% 37.81/6.96 % (15120)Instructions burned: 961 (million)
% 37.81/6.96 % (15120)------------------------------
% 37.81/6.96 % (15120)------------------------------
% 37.81/6.98 % (15130)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=432:si=on:rtra=on_0 on DTF2THF_14609 for (2943ds/432Mi)
% 37.81/7.02 % (15125)Instruction limit reached!
% 37.81/7.02 % (15125)------------------------------
% 37.81/7.02 % (15125)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 37.81/7.02 % (15125)Termination reason: Unknown
% 37.81/7.02 % (15125)Termination phase: Saturation
% 37.81/7.02
% 37.81/7.02 % (15125)Memory used [KB]: 6652
% 37.81/7.02 % (15125)Time elapsed: 0.234 s
% 37.81/7.02 % (15125)Instructions burned: 481 (million)
% 37.81/7.02 % (15125)------------------------------
% 37.81/7.02 % (15125)------------------------------
% 40.69/7.03 % (15132)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=1670:si=on:rtra=on_0 on DTF2THF_14609 for (2943ds/1670Mi)
% 41.30/7.18 % (15123)Instruction limit reached!
% 41.30/7.18 % (15123)------------------------------
% 41.30/7.18 % (15123)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.30/7.18 % (15123)Termination reason: Unknown
% 41.30/7.18 % (15123)Termination phase: Saturation
% 41.30/7.18
% 41.30/7.18 % (15123)Memory used [KB]: 6524
% 41.30/7.18 % (15123)Time elapsed: 0.574 s
% 41.30/7.18 % (15123)Instructions burned: 1980 (million)
% 41.30/7.18 % (15123)------------------------------
% 41.30/7.18 % (15123)------------------------------
% 41.30/7.19 % (15130)Instruction limit reached!
% 41.30/7.19 % (15130)------------------------------
% 41.30/7.19 % (15130)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.30/7.19 % (15130)Termination reason: Unknown
% 41.30/7.19 % (15130)Termination phase: Saturation
% 41.30/7.19
% 41.30/7.19 % (15130)Memory used [KB]: 6652
% 41.30/7.19 % (15130)Time elapsed: 0.212 s
% 41.30/7.19 % (15130)Instructions burned: 433 (million)
% 41.30/7.19 % (15130)------------------------------
% 41.30/7.19 % (15130)------------------------------
% 41.30/7.20 % (15138)dis+2_1:1_au=on:hfaw=0:hfsq=on:sp=weighted_frequency:i=90:si=on:rtra=on_0 on DTF2THF_14609 for (2941ds/90Mi)
% 41.73/7.21 % (15139)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_14609 for (2941ds/346Mi)
% 41.73/7.24 % (15138)Instruction limit reached!
% 41.73/7.24 % (15138)------------------------------
% 41.73/7.24 % (15138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.73/7.24 % (15138)Termination reason: Unknown
% 41.73/7.24 % (15138)Termination phase: Saturation
% 41.73/7.24
% 41.73/7.24 % (15138)Memory used [KB]: 6012
% 41.73/7.24 % (15138)Time elapsed: 0.046 s
% 41.73/7.24 % (15138)Instructions burned: 90 (million)
% 41.73/7.24 % (15138)------------------------------
% 41.73/7.24 % (15138)------------------------------
% 41.73/7.25 % (15075)Instruction limit reached!
% 41.73/7.25 % (15075)------------------------------
% 41.73/7.25 % (15075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.73/7.25 % (15075)Termination reason: Unknown
% 41.73/7.25 % (15075)Termination phase: Saturation
% 41.73/7.25
% 41.73/7.25 % (15075)Memory used [KB]: 6268
% 41.73/7.25 % (15075)Time elapsed: 2.085 s
% 41.73/7.25 % (15075)Instructions burned: 5411 (million)
% 41.73/7.25 % (15075)------------------------------
% 41.73/7.25 % (15075)------------------------------
% 41.73/7.26 % (15144)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=6454:si=on:rtra=on_0 on DTF2THF_14609 for (2940ds/6454Mi)
% 41.73/7.26 % (15142)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=401:si=on:rtra=on_0 on DTF2THF_14609 for (2940ds/401Mi)
% 41.73/7.27 % (15129)Instruction limit reached!
% 41.73/7.27 % (15129)------------------------------
% 41.73/7.27 % (15129)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 41.73/7.27 % (15129)Termination reason: Unknown
% 41.73/7.27 % (15129)Termination phase: Saturation
% 41.73/7.27
% 41.73/7.27 % (15129)Memory used [KB]: 8059
% 41.73/7.27 % (15129)Time elapsed: 0.324 s
% 41.73/7.27 % (15129)Instructions burned: 783 (million)
% 41.73/7.27 % (15129)------------------------------
% 41.73/7.27 % (15129)------------------------------
% 41.73/7.28 % (15146)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:kws=arity:prag=on:i=283:si=on:rtra=on_0 on DTF2THF_14609 for (2940ds/283Mi)
% 42.13/7.33 % (15107)Instruction limit reached!
% 42.13/7.33 % (15107)------------------------------
% 42.13/7.33 % (15107)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.13/7.33 % (15107)Termination reason: Unknown
% 42.13/7.33 % (15107)Termination phase: Saturation
% 42.13/7.33
% 42.13/7.33 % (15107)Memory used [KB]: 11769
% 42.13/7.33 % (15107)Time elapsed: 1.228 s
% 42.13/7.33 % (15107)Instructions burned: 3375 (million)
% 42.13/7.33 % (15107)------------------------------
% 42.13/7.33 % (15107)------------------------------
% 42.13/7.35 % (15147)ott+10_1:1_aac=none:apa=on:au=on:cnfonf=off:ntd=on:nwc=12.0:sos=on:i=865:si=on:rtra=on_0 on DTF2THF_14609 for (2940ds/865Mi)
% 42.13/7.38 % (15139)Instruction limit reached!
% 42.13/7.38 % (15139)------------------------------
% 42.13/7.38 % (15139)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.13/7.38 % (15139)Termination reason: Unknown
% 42.13/7.38 % (15139)Termination phase: Saturation
% 42.13/7.38
% 42.13/7.38 % (15139)Memory used [KB]: 6524
% 42.13/7.38 % (15139)Time elapsed: 0.170 s
% 42.13/7.38 % (15139)Instructions burned: 348 (million)
% 42.13/7.38 % (15139)------------------------------
% 42.13/7.38 % (15139)------------------------------
% 42.13/7.39 % (15148)lrs+1002_3:4_au=on:av=off:cnfonf=off:fd=off:fsr=off:ins=2:sd=1:sos=on:ss=axioms:i=4528:si=on:rtra=on_0 on DTF2THF_14609 for (2939ds/4528Mi)
% 42.46/7.42 % (15146)Instruction limit reached!
% 42.46/7.42 % (15146)------------------------------
% 42.46/7.42 % (15146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.46/7.42 % (15146)Termination reason: Unknown
% 42.46/7.42 % (15146)Termination phase: Saturation
% 42.46/7.42
% 42.46/7.42 % (15146)Memory used [KB]: 6524
% 42.46/7.42 % (15146)Time elapsed: 0.138 s
% 42.46/7.42 % (15146)Instructions burned: 284 (million)
% 42.46/7.42 % (15146)------------------------------
% 42.46/7.42 % (15146)------------------------------
% 42.46/7.44 % (15142)Instruction limit reached!
% 42.46/7.44 % (15142)------------------------------
% 42.46/7.44 % (15142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.46/7.44 % (15142)Termination reason: Unknown
% 42.46/7.44 % (15142)Termination phase: Saturation
% 42.46/7.44
% 42.46/7.44 % (15142)Memory used [KB]: 5884
% 42.46/7.44 % (15142)Time elapsed: 0.180 s
% 42.46/7.44 % (15142)Instructions burned: 401 (million)
% 42.46/7.44 % (15142)------------------------------
% 42.46/7.44 % (15142)------------------------------
% 42.46/7.44 % (15149)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=1001:si=on:rtra=on_0 on DTF2THF_14609 for (2939ds/1001Mi)
% 42.46/7.45 % (15150)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=102:si=on:rtra=on_0 on DTF2THF_14609 for (2938ds/102Mi)
% 42.46/7.47 % (15049)Instruction limit reached!
% 42.46/7.47 % (15049)------------------------------
% 42.46/7.47 % (15049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.46/7.47 % (15049)Termination reason: Unknown
% 42.46/7.47 % (15049)Termination phase: Saturation
% 42.46/7.47
% 42.46/7.47 % (15049)Memory used [KB]: 11001
% 42.46/7.47 % (15049)Time elapsed: 3.621 s
% 42.46/7.47 % (15049)Instructions burned: 8250 (million)
% 42.46/7.47 % (15049)------------------------------
% 42.46/7.47 % (15049)------------------------------
% 42.46/7.49 % (15151)ott+1010_3:1_nm=20:s2a=on:s2at=3.0:sp=const_frequency:i=952:si=on:rtra=on_0 on DTF2THF_14609 for (2938ds/952Mi)
% 42.88/7.50 % (15150)Instruction limit reached!
% 42.88/7.50 % (15150)------------------------------
% 42.88/7.50 % (15150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.88/7.50 % (15150)Termination reason: Unknown
% 42.88/7.50 % (15150)Termination phase: Saturation
% 42.88/7.50
% 42.88/7.50 % (15150)Memory used [KB]: 5756
% 42.88/7.50 % (15150)Time elapsed: 0.048 s
% 42.88/7.50 % (15150)Instructions burned: 102 (million)
% 42.88/7.50 % (15150)------------------------------
% 42.88/7.50 % (15150)------------------------------
% 42.88/7.52 % (15154)lrs+1010_1:1024_add=large:c=on:cbe=off:cnfonf=lazy_gen:fde=none:nm=30:piset=and:sac=on:uhcvi=on:i=578:si=on:rtra=on_0 on DTF2THF_14609 for (2938ds/578Mi)
% 42.95/7.73 % (15132)Instruction limit reached!
% 42.95/7.73 % (15132)------------------------------
% 42.95/7.73 % (15132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.95/7.73 % (15132)Termination reason: Unknown
% 42.95/7.73 % (15132)Termination phase: Saturation
% 42.95/7.73
% 42.95/7.73 % (15132)Memory used [KB]: 6140
% 42.95/7.73 % (15132)Time elapsed: 0.709 s
% 42.95/7.73 % (15132)Instructions burned: 1670 (million)
% 42.95/7.73 % (15132)------------------------------
% 42.95/7.73 % (15132)------------------------------
% 42.95/7.75 % (15158)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_14609 for (2935ds/643Mi)
% 42.95/7.77 % (15154)Instruction limit reached!
% 42.95/7.77 % (15154)------------------------------
% 42.95/7.77 % (15154)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.95/7.77 % (15154)Termination reason: Unknown
% 42.95/7.77 % (15154)Termination phase: Saturation
% 42.95/7.77
% 42.95/7.77 % (15154)Memory used [KB]: 6268
% 42.95/7.77 % (15154)Time elapsed: 0.260 s
% 42.95/7.77 % (15154)Instructions burned: 579 (million)
% 42.95/7.77 % (15154)------------------------------
% 42.95/7.77 % (15154)------------------------------
% 42.95/7.79 % (15147)Instruction limit reached!
% 42.95/7.79 % (15147)------------------------------
% 42.95/7.79 % (15147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 42.95/7.79 % (15147)Termination reason: Unknown
% 42.95/7.79 % (15147)Termination phase: Saturation
% 42.95/7.79
% 42.95/7.79 % (15147)Memory used [KB]: 7036
% 42.95/7.79 % (15147)Time elapsed: 0.450 s
% 42.95/7.79 % (15147)Instructions burned: 867 (million)
% 42.95/7.79 % (15147)------------------------------
% 42.95/7.79 % (15147)------------------------------
% 44.35/7.80 % (15159)lrs+1010_1:1_cnfonf=off:ntd=on:nwc=3.0:s2a=on:sp=const_frequency:i=865:si=on:rtra=on_0 on DTF2THF_14609 for (2935ds/865Mi)
% 44.35/7.80 % (15149)Instruction limit reached!
% 44.35/7.80 % (15149)------------------------------
% 44.35/7.80 % (15149)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.35/7.80 % (15149)Termination reason: Unknown
% 44.35/7.80 % (15149)Termination phase: Saturation
% 44.35/7.80
% 44.35/7.80 % (15149)Memory used [KB]: 8955
% 44.35/7.80 % (15149)Time elapsed: 0.386 s
% 44.35/7.80 % (15149)Instructions burned: 1001 (million)
% 44.35/7.80 % (15149)------------------------------
% 44.35/7.80 % (15149)------------------------------
% 44.35/7.82 % (15161)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=644:si=on:rtra=on_0 on DTF2THF_14609 for (2935ds/644Mi)
% 44.35/7.82 % (15160)lrs+10_1:1_au=on:erd=off:s2a=on:s2at=3.0:sos=all:i=1174:si=on:rtra=on_0 on DTF2THF_14609 for (2935ds/1174Mi)
% 44.35/7.82 % (15159)Refutation not found, incomplete strategy
% 44.35/7.82 % (15159)------------------------------
% 44.35/7.82 % (15159)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.35/7.82 % (15159)Termination reason: Refutation not found, incomplete strategy
% 44.35/7.82
% 44.35/7.82
% 44.35/7.82 % (15159)Memory used [KB]: 5756
% 44.35/7.82 % (15159)Time elapsed: 0.060 s
% 44.35/7.82 % (15159)Instructions burned: 16 (million)
% 44.35/7.82 % (15159)------------------------------
% 44.35/7.82 % (15159)------------------------------
% 44.35/7.85 % (15163)lrs+10_1:1_alpa=true:au=on:cs=on:tgt=ground:i=1201:si=on:rtra=on_0 on DTF2THF_14609 for (2935ds/1201Mi)
% 44.72/7.90 % (15151)Instruction limit reached!
% 44.72/7.90 % (15151)------------------------------
% 44.72/7.90 % (15151)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.72/7.90 % (15151)Termination reason: Unknown
% 44.72/7.90 % (15151)Termination phase: Saturation
% 44.72/7.90
% 44.72/7.90 % (15151)Memory used [KB]: 6780
% 44.72/7.90 % (15151)Time elapsed: 0.410 s
% 44.72/7.90 % (15151)Instructions burned: 953 (million)
% 44.72/7.90 % (15151)------------------------------
% 44.72/7.90 % (15151)------------------------------
% 44.72/7.92 % (15165)lrs+1666_1:64_cnfonf=lazy_simp:hud=5:plsq=on:plsql=on:plsqr=152565,524288:tnu=2:i=1046:si=on:rtra=on_0 on DTF2THF_14609 for (2934ds/1046Mi)
% 44.72/8.02 % (15158)Instruction limit reached!
% 44.72/8.02 % (15158)------------------------------
% 44.72/8.02 % (15158)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 44.72/8.02 % (15158)Termination reason: Unknown
% 44.72/8.02 % (15158)Termination phase: Saturation
% 44.72/8.02
% 44.72/8.02 % (15158)Memory used [KB]: 6524
% 44.72/8.02 % (15158)Time elapsed: 0.287 s
% 44.72/8.02 % (15158)Instructions burned: 643 (million)
% 44.72/8.02 % (15158)------------------------------
% 44.72/8.02 % (15158)------------------------------
% 47.29/8.03 % (15161)Instruction limit reached!
% 47.29/8.03 % (15161)------------------------------
% 47.29/8.03 % (15161)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.29/8.03 % (15161)Termination reason: Unknown
% 47.29/8.03 % (15161)Termination phase: Saturation
% 47.29/8.03
% 47.29/8.03 % (15161)Memory used [KB]: 6012
% 47.29/8.03 % (15161)Time elapsed: 0.215 s
% 47.29/8.03 % (15161)Instructions burned: 644 (million)
% 47.29/8.03 % (15161)------------------------------
% 47.29/8.03 % (15161)------------------------------
% 47.29/8.03 % (15169)lrs+1010_1:1_c=on:cnfonf=lazy_simp:fsr=off:hud=5:kws=arity:nm=32:plsq=on:plsqc=1:plsqr=642,29:prag=on:i=222:si=on:rtra=on_0 on DTF2THF_14609 for (2933ds/222Mi)
% 47.29/8.05 % (15170)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_14609 for (2933ds/68Mi)
% 47.29/8.07 % (15170)Instruction limit reached!
% 47.29/8.07 % (15170)------------------------------
% 47.29/8.07 % (15170)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.29/8.07 % (15170)Termination reason: Unknown
% 47.29/8.07 % (15170)Termination phase: Saturation
% 47.29/8.07
% 47.29/8.07 % (15170)Memory used [KB]: 6012
% 47.29/8.07 % (15170)Time elapsed: 0.052 s
% 47.29/8.07 % (15170)Instructions burned: 69 (million)
% 47.29/8.07 % (15170)------------------------------
% 47.29/8.07 % (15170)------------------------------
% 47.29/8.09 % (15172)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=454:si=on:rtra=on_0 on DTF2THF_14609 for (2932ds/454Mi)
% 47.92/8.13 % (15169)Instruction limit reached!
% 47.92/8.13 % (15169)------------------------------
% 47.92/8.13 % (15169)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 47.92/8.13 % (15169)Termination reason: Unknown
% 47.92/8.13 % (15169)Termination phase: Saturation
% 47.92/8.13
% 47.92/8.13 % (15169)Memory used [KB]: 6140
% 47.92/8.13 % (15169)Time elapsed: 0.120 s
% 47.92/8.13 % (15169)Instructions burned: 223 (million)
% 47.92/8.13 % (15169)------------------------------
% 47.92/8.13 % (15169)------------------------------
% 47.92/8.14 % (15176)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_14609 for (2932ds/360Mi)
% 48.42/8.27 % (15176)Instruction limit reached!
% 48.42/8.27 % (15176)------------------------------
% 48.42/8.27 % (15176)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.42/8.27 % (15176)Termination reason: Unknown
% 48.42/8.27 % (15176)Termination phase: Saturation
% 48.42/8.27
% 48.42/8.27 % (15176)Memory used [KB]: 5884
% 48.42/8.27 % (15176)Time elapsed: 0.153 s
% 48.42/8.27 % (15176)Instructions burned: 361 (million)
% 48.42/8.27 % (15176)------------------------------
% 48.42/8.27 % (15176)------------------------------
% 48.42/8.28 % (15178)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_14609 for (2930ds/157Mi)
% 48.42/8.29 % (15172)Instruction limit reached!
% 48.42/8.29 % (15172)------------------------------
% 48.42/8.29 % (15172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 48.42/8.29 % (15172)Termination reason: Unknown
% 48.42/8.29 % (15172)Termination phase: Saturation
% 48.42/8.29
% 48.42/8.29 % (15172)Memory used [KB]: 11129
% 48.42/8.29 % (15172)Time elapsed: 0.226 s
% 48.42/8.29 % (15172)Instructions burned: 454 (million)
% 48.42/8.29 % (15172)------------------------------
% 48.42/8.29 % (15172)------------------------------
% 49.27/8.32 % (15179)ott+1004_1:24_anc=none:cbe=off:cnfonf=lazy_not_gen:fe=off:piset=not:prag=on:rp=on:i=5061:si=on:rtra=on_0 on DTF2THF_14609 for (2930ds/5061Mi)
% 49.27/8.33 % (15178)Instruction limit reached!
% 49.27/8.33 % (15178)------------------------------
% 49.27/8.33 % (15178)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.27/8.33 % (15178)Termination reason: Unknown
% 49.27/8.33 % (15178)Termination phase: Saturation
% 49.27/8.33
% 49.27/8.33 % (15178)Memory used [KB]: 6012
% 49.27/8.33 % (15178)Time elapsed: 0.072 s
% 49.27/8.33 % (15178)Instructions burned: 157 (million)
% 49.27/8.33 % (15178)------------------------------
% 49.27/8.33 % (15178)------------------------------
% 49.27/8.34 % (15181)lrs+1002_1:8_av=off:fd=off:hud=5:tnu=1:i=2401:si=on:rtra=on_0 on DTF2THF_14609 for (2929ds/2401Mi)
% 49.27/8.36 % (15160)Instruction limit reached!
% 49.27/8.36 % (15160)------------------------------
% 49.27/8.36 % (15160)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.27/8.36 % (15160)Termination reason: Unknown
% 49.27/8.36 % (15160)Termination phase: Saturation
% 49.27/8.36
% 49.27/8.36 % (15160)Memory used [KB]: 8059
% 49.27/8.36 % (15160)Time elapsed: 0.571 s
% 49.27/8.36 % (15160)Instructions burned: 1175 (million)
% 49.27/8.36 % (15160)------------------------------
% 49.27/8.36 % (15160)------------------------------
% 49.27/8.38 % (15182)dis+10_1:1_av=off:e2e=on:nm=4:s2a=on:i=5798:si=on:rtra=on_0 on DTF2THF_14609 for (2929ds/5798Mi)
% 49.79/8.41 % (15163)Instruction limit reached!
% 49.79/8.41 % (15163)------------------------------
% 49.79/8.41 % (15163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.79/8.41 % (15163)Termination reason: Unknown
% 49.79/8.41 % (15163)Termination phase: Saturation
% 49.79/8.41
% 49.79/8.41 % (15163)Memory used [KB]: 7547
% 49.79/8.41 % (15163)Time elapsed: 0.585 s
% 49.79/8.41 % (15163)Instructions burned: 1202 (million)
% 49.79/8.41 % (15163)------------------------------
% 49.79/8.41 % (15163)------------------------------
% 49.79/8.43 % (15183)dis+10_1:1_au=on:cnfonf=lazy_gen:ixr=off:plsq=on:plsqc=1:plsqr=32,1:i=346:si=on:rtra=on_0 on DTF2THF_14609 for (2929ds/346Mi)
% 49.79/8.45 % (15165)Instruction limit reached!
% 49.79/8.45 % (15165)------------------------------
% 49.79/8.45 % (15165)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 49.79/8.45 % (15165)Termination reason: Unknown
% 49.79/8.45 % (15165)Termination phase: Saturation
% 49.79/8.45
% 49.79/8.45 % (15165)Memory used [KB]: 7675
% 49.79/8.45 % (15165)Time elapsed: 0.553 s
% 49.79/8.45 % (15165)Instructions burned: 1047 (million)
% 49.79/8.45 % (15165)------------------------------
% 49.79/8.45 % (15165)------------------------------
% 49.79/8.47 % (15184)lrs+1002_1:1_av=off:bd=off:bet=on:e2e=on:fde=unused:fe=off:plsq=on:prag=on:sos=on:i=1321:si=on:rtra=on_0 on DTF2THF_14609 for (2928ds/1321Mi)
% 50.08/8.59 % (15183)Instruction limit reached!
% 50.08/8.59 % (15183)------------------------------
% 50.08/8.59 % (15183)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.08/8.59 % (15183)Termination reason: Unknown
% 50.08/8.59 % (15183)Termination phase: Saturation
% 50.08/8.59
% 50.08/8.59 % (15183)Memory used [KB]: 6524
% 50.08/8.59 % (15183)Time elapsed: 0.169 s
% 50.08/8.59 % (15183)Instructions burned: 347 (million)
% 50.08/8.59 % (15183)------------------------------
% 50.08/8.59 % (15183)------------------------------
% 50.47/8.61 % (15185)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:i=1312:si=on:rtra=on_0 on DTF2THF_14609 for (2927ds/1312Mi)
% 50.86/8.89 % (15148)Refutation not found, non-redundant clauses discarded% (15148)------------------------------
% 50.86/8.89 % (15148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 50.86/8.89 % (15148)Termination reason: Refutation not found, non-redundant clauses discarded
% 50.86/8.89
% 50.86/8.89 % (15148)Memory used [KB]: 2302
% 50.86/8.89 % (15148)Time elapsed: 1.513 s
% 50.86/8.89 % (15148)Instructions burned: 4004 (million)
% 50.86/8.89 % (15148)------------------------------
% 50.86/8.89 % (15148)------------------------------
% 51.06/8.91 % (15188)ott+2_8:1_add=large:c=on:cnfonf=off:e2e=on:er=filter:hud=5:plsq=on:plsqr=1,1:ss=axioms:i=672:si=on:rtra=on_0 on DTF2THF_14609 for (2924ds/672Mi)
% 51.06/8.95 % (15184)Instruction limit reached!
% 51.06/8.95 % (15184)------------------------------
% 51.06/8.95 % (15184)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 51.06/8.95 % (15184)Termination reason: Unknown
% 51.06/8.95 % (15184)Termination phase: Saturation
% 51.06/8.95
% 51.06/8.95 % (15184)Memory used [KB]: 2046
% 51.06/8.95 % (15184)Time elapsed: 0.496 s
% 51.06/8.95 % (15184)Instructions burned: 1321 (million)
% 51.06/8.95 % (15184)------------------------------
% 51.06/8.95 % (15184)------------------------------
% 51.06/8.97 % (15191)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=1897:si=on:rtra=on_0 on DTF2THF_14609 for (2923ds/1897Mi)
% 54.80/9.16 % (15188)Instruction limit reached!
% 54.80/9.16 % (15188)------------------------------
% 54.80/9.16 % (15188)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 54.80/9.16 % (15188)Termination reason: Unknown
% 54.80/9.16 % (15188)Termination phase: Saturation
% 54.80/9.16
% 54.80/9.16 % (15188)Memory used [KB]: 7931
% 54.80/9.16 % (15188)Time elapsed: 0.248 s
% 54.80/9.16 % (15188)Instructions burned: 672 (million)
% 54.80/9.16 % (15188)------------------------------
% 54.80/9.16 % (15188)------------------------------
% 54.80/9.18 % (15193)lrs+10_1:40_av=off:fde=unused:ntd=on:plsq=on:plsqc=2:plsqr=411915,1048576:sp=unary_frequency:tgt=full:i=1202:si=on:rtra=on_0 on DTF2THF_14609 for (2921ds/1202Mi)
% 55.28/9.23 % (15185)Instruction limit reached!
% 55.28/9.23 % (15185)------------------------------
% 55.28/9.23 % (15185)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.28/9.23 % (15185)Termination reason: Unknown
% 55.28/9.23 % (15185)Termination phase: Saturation
% 55.28/9.23
% 55.28/9.23 % (15185)Memory used [KB]: 7419
% 55.28/9.23 % (15185)Time elapsed: 0.620 s
% 55.28/9.23 % (15185)Instructions burned: 1312 (million)
% 55.28/9.23 % (15185)------------------------------
% 55.28/9.23 % (15185)------------------------------
% 55.28/9.24 % (15194)dis+21_1:1_au=on:cnfonf=lazy_pi_sigma_gen:hfsq=on:hfsqc=40:hfsqr=8,1:ntd=on:sos=on:sp=occurrence:ss=axioms:i=1493:si=on:rtra=on_0 on DTF2THF_14609 for (2920ds/1493Mi)
% 55.81/9.33 % (15181)Instruction limit reached!
% 55.81/9.33 % (15181)------------------------------
% 55.81/9.33 % (15181)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 55.81/9.33 % (15181)Termination reason: Unknown
% 55.81/9.33 % (15181)Termination phase: Saturation
% 55.81/9.33
% 55.81/9.33 % (15181)Memory used [KB]: 2942
% 55.81/9.33 % (15181)Time elapsed: 0.990 s
% 55.81/9.33 % (15181)Instructions burned: 2401 (million)
% 55.81/9.33 % (15181)------------------------------
% 55.81/9.33 % (15181)------------------------------
% 55.81/9.34 % (15195)dis+1010_3:1_av=off:fde=unused:hud=10:nwc=10.0:s2a=on:ss=axioms:i=7679:si=on:rtra=on_0 on DTF2THF_14609 for (2919ds/7679Mi)
% 57.45/9.78 % (15193)Instruction limit reached!
% 57.45/9.78 % (15193)------------------------------
% 57.45/9.78 % (15193)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 57.45/9.78 % (15193)Termination reason: Unknown
% 57.45/9.78 % (15193)Termination phase: Saturation
% 57.45/9.78
% 57.45/9.78 % (15193)Memory used [KB]: 3070
% 57.45/9.78 % (15193)Time elapsed: 0.605 s
% 57.45/9.78 % (15193)Instructions burned: 1203 (million)
% 57.45/9.78 % (15193)------------------------------
% 57.45/9.78 % (15193)------------------------------
% 58.46/9.80 % (15201)lrs+2_1:1024_anc=all:cnfonf=off:cs=on:e2e=on:nm=20:s2at=1.5:slsq=on:slsqr=1,2:spb=goal:i=340:si=on:rtra=on_0 on DTF2THF_14609 for (2915ds/340Mi)
% 58.46/9.83 % (15191)Instruction limit reached!
% 58.46/9.83 % (15191)------------------------------
% 58.46/9.83 % (15191)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.46/9.83 % (15191)Termination reason: Unknown
% 58.46/9.83 % (15191)Termination phase: Saturation
% 58.46/9.83
% 58.46/9.83 % (15191)Memory used [KB]: 8059
% 58.46/9.83 % (15191)Time elapsed: 0.856 s
% 58.46/9.83 % (15191)Instructions burned: 1897 (million)
% 58.46/9.83 % (15191)------------------------------
% 58.46/9.83 % (15191)------------------------------
% 58.46/9.85 % (15203)dis+1002_1:1_acc=model:au=on:nwc=5.0:sd=5:ss=axioms:st=2.5:i=3672:si=on:rtra=on_0 on DTF2THF_14609 for (2914ds/3672Mi)
% 58.46/9.87 % (15144)Instruction limit reached!
% 58.46/9.87 % (15144)------------------------------
% 58.46/9.87 % (15144)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.46/9.87 % (15144)Termination reason: Unknown
% 58.46/9.87 % (15144)Termination phase: Saturation
% 58.46/9.87
% 58.46/9.87 % (15144)Memory used [KB]: 13048
% 58.46/9.87 % (15144)Time elapsed: 2.630 s
% 58.46/9.87 % (15144)Instructions burned: 6455 (million)
% 58.46/9.87 % (15144)------------------------------
% 58.46/9.87 % (15144)------------------------------
% 58.46/9.88 % (15204)dis-1002_3:1_acc=model:bd=off:bsd=on:bsdmm=1:cnfonf=lazy_not_be_gen:fd=off:fe=off:ntd=on:nwc=10.0:piset=equals:plsq=on:plsqc=1:plsqr=32,1:sp=const_max:uhcvi=on:i=1535:si=on:rtra=on_0 on DTF2THF_14609 for (2914ds/1535Mi)
% 58.79/9.92 % (15194)Instruction limit reached!
% 58.79/9.92 % (15194)------------------------------
% 58.79/9.92 % (15194)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.79/9.92 % (15194)Termination reason: Unknown
% 58.79/9.92 % (15194)Termination phase: Saturation
% 58.79/9.92
% 58.79/9.92 % (15194)Memory used [KB]: 7164
% 58.79/9.92 % (15194)Time elapsed: 0.680 s
% 58.79/9.92 % (15194)Instructions burned: 1493 (million)
% 58.79/9.92 % (15194)------------------------------
% 58.79/9.92 % (15194)------------------------------
% 58.79/9.94 % (15205)dis+10_16:1_hud=1:plsq=on:plsqc=1:plsqr=32,1:prag=on:sd=1:sgt=64:ss=axioms:i=4637:si=on:rtra=on_0 on DTF2THF_14609 for (2913ds/4637Mi)
% 58.79/9.94 % (15201)Refutation not found, non-redundant clauses discarded% (15201)------------------------------
% 58.79/9.94 % (15201)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 58.79/9.94 % (15201)Termination reason: Refutation not found, non-redundant clauses discarded
% 58.79/9.94
% 58.79/9.94 % (15201)Memory used [KB]: 6908
% 58.79/9.94 % (15201)Time elapsed: 0.161 s
% 58.79/9.94 % (15201)Instructions burned: 336 (million)
% 58.79/9.94 % (15201)------------------------------
% 58.79/9.94 % (15201)------------------------------
% 58.79/9.96 % (15206)lrs+10_1:1_fde=unused:prag=on:sd=2:sgt=32:ss=axioms:i=3174:si=on:rtra=on_0 on DTF2THF_14609 for (2913ds/3174Mi)
% 62.98/10.37 % (15179)Instruction limit reached!
% 62.98/10.37 % (15179)------------------------------
% 62.98/10.37 % (15179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 62.98/10.37 % (15179)Termination reason: Unknown
% 62.98/10.37 % (15179)Termination phase: Saturation
% 62.98/10.37
% 62.98/10.37 % (15179)Memory used [KB]: 6268
% 62.98/10.37 % (15179)Time elapsed: 2.060 s
% 62.98/10.37 % (15179)Instructions burned: 5061 (million)
% 62.98/10.37 % (15179)------------------------------
% 62.98/10.37 % (15179)------------------------------
% 62.98/10.39 % (15209)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_14609 for (2909ds/307Mi)
% 63.67/10.46 % (15204)Instruction limit reached!
% 63.67/10.46 % (15204)------------------------------
% 63.67/10.46 % (15204)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 63.67/10.46 % (15204)Termination reason: Unknown
% 63.67/10.46 % (15204)Termination phase: Saturation
% 63.67/10.46
% 63.67/10.46 % (15204)Memory used [KB]: 7931
% 63.67/10.46 % (15204)Time elapsed: 0.580 s
% 63.67/10.46 % (15204)Instructions burned: 1536 (million)
% 63.67/10.46 % (15204)------------------------------
% 63.67/10.46 % (15204)------------------------------
% 63.67/10.48 % (15210)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=3619:si=on:rtra=on_0 on DTF2THF_14609 for (2908ds/3619Mi)
% 64.24/10.53 % (15209)Instruction limit reached!
% 64.24/10.53 % (15209)------------------------------
% 64.24/10.53 % (15209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 64.24/10.53 % (15209)Termination reason: Unknown
% 64.24/10.53 % (15209)Termination phase: Saturation
% 64.24/10.53
% 64.24/10.53 % (15209)Memory used [KB]: 5884
% 64.24/10.53 % (15209)Time elapsed: 0.138 s
% 64.24/10.53 % (15209)Instructions burned: 308 (million)
% 64.24/10.53 % (15209)------------------------------
% 64.24/10.53 % (15209)------------------------------
% 64.24/10.54 % (15212)lrs+1002_1:1_au=on:cbe=off:fde=none:ins=1:sp=const_max:i=2325:si=on:rtra=on_0 on DTF2THF_14609 for (2907ds/2325Mi)
% 65.87/10.83 % (15182)Instruction limit reached!
% 65.87/10.83 % (15182)------------------------------
% 65.87/10.83 % (15182)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 65.87/10.83 % (15182)Termination reason: Unknown
% 65.87/10.83 % (15182)Termination phase: Saturation
% 65.87/10.83
% 65.87/10.83 % (15182)Memory used [KB]: 5500
% 65.87/10.83 % (15182)Time elapsed: 2.456 s
% 65.87/10.83 % (15182)Instructions burned: 5798 (million)
% 65.87/10.83 % (15182)------------------------------
% 65.87/10.83 % (15182)------------------------------
% 65.87/10.85 % (15213)dis+1002_1:1_au=on:sac=on:sd=5:slsq=on:slsqr=1,4:ss=axioms:st=2.0:i=2341:si=on:rtra=on_0 on DTF2THF_14609 for (2904ds/2341Mi)
% 69.24/11.21 % (15203)Instruction limit reached!
% 69.24/11.21 % (15203)------------------------------
% 69.24/11.21 % (15203)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 69.24/11.21 % (15203)Termination reason: Unknown
% 69.24/11.21 % (15203)Termination phase: Saturation
% 69.24/11.21
% 69.24/11.21 % (15203)Memory used [KB]: 7803
% 69.24/11.21 % (15203)Time elapsed: 1.362 s
% 69.24/11.21 % (15203)Instructions burned: 3674 (million)
% 69.24/11.21 % (15203)------------------------------
% 69.24/11.21 % (15203)------------------------------
% 69.24/11.22 % (15216)lrs+1010_1:16_apa=on:bsd=on:cnfonf=off:hud=10:sac=on:sos=on:ss=axioms:i=7257:si=on:rtra=on_0 on DTF2THF_14609 for (2901ds/7257Mi)
% 70.46/11.42 % (15206)Instruction limit reached!
% 70.46/11.42 % (15206)------------------------------
% 70.46/11.42 % (15206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 70.46/11.42 % (15206)Termination reason: Unknown
% 70.46/11.42 % (15206)Termination phase: Saturation
% 70.46/11.42
% 70.46/11.42 % (15206)Memory used [KB]: 9083
% 70.46/11.42 % (15206)Time elapsed: 1.466 s
% 70.46/11.42 % (15206)Instructions burned: 3174 (million)
% 70.46/11.43 % (15206)------------------------------
% 70.46/11.43 % (15206)------------------------------
% 70.46/11.44 % (15219)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=3710:si=on:rtra=on_0 on DTF2THF_14609 for (2899ds/3710Mi)
% 71.01/11.52 % (15212)Instruction limit reached!
% 71.01/11.52 % (15212)------------------------------
% 71.01/11.52 % (15212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.01/11.52 % (15212)Termination reason: Unknown
% 71.01/11.52 % (15212)Termination phase: Saturation
% 71.01/11.52
% 71.01/11.52 % (15212)Memory used [KB]: 6780
% 71.01/11.52 % (15212)Time elapsed: 0.983 s
% 71.01/11.52 % (15212)Instructions burned: 2326 (million)
% 71.01/11.52 % (15212)------------------------------
% 71.01/11.52 % (15212)------------------------------
% 71.01/11.55 % (15223)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=326:si=on:rtra=on_0 on DTF2THF_14609 for (2898ds/326Mi)
% 71.44/11.68 % (15223)Instruction limit reached!
% 71.44/11.68 % (15223)------------------------------
% 71.44/11.68 % (15223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 71.44/11.68 % (15223)Termination reason: Unknown
% 71.44/11.68 % (15223)Termination phase: Saturation
% 71.44/11.68
% 71.44/11.68 % (15223)Memory used [KB]: 6396
% 71.44/11.68 % (15223)Time elapsed: 0.139 s
% 71.44/11.68 % (15223)Instructions burned: 328 (million)
% 71.44/11.68 % (15223)------------------------------
% 71.44/11.68 % (15223)------------------------------
% 71.44/11.69 % (15224)lrs+1010_1:64_au=on:c=on:e2e=on:flr=on:hfsq=on:hfsql=off:hfsqr=4,1:ins=1:ntd=on:sp=occurrence:i=1100:si=on:rtra=on_0 on DTF2THF_14609 for (2896ds/1100Mi)
% 72.38/11.80 % (15213)Instruction limit reached!
% 72.38/11.80 % (15213)------------------------------
% 72.38/11.80 % (15213)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.38/11.80 % (15213)Termination reason: Unknown
% 72.38/11.80 % (15213)Termination phase: Saturation
% 72.38/11.80
% 72.38/11.80 % (15213)Memory used [KB]: 7164
% 72.38/11.80 % (15213)Time elapsed: 0.948 s
% 72.38/11.80 % (15213)Instructions burned: 2341 (million)
% 72.38/11.80 % (15213)------------------------------
% 72.38/11.80 % (15213)------------------------------
% 72.38/11.82 % (15226)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_14609 for (2895ds/406Mi)
% 72.70/11.90 % (15226)Refutation not found, incomplete strategy
% 72.70/11.90 % (15226)------------------------------
% 72.70/11.90 % (15226)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.70/11.90 % (15226)Termination reason: Refutation not found, incomplete strategy
% 72.70/11.90
% 72.70/11.90
% 72.70/11.90 % (15226)Memory used [KB]: 6140
% 72.70/11.90 % (15226)Time elapsed: 0.108 s
% 72.70/11.90 % (15226)Instructions burned: 111 (million)
% 72.70/11.90 % (15226)------------------------------
% 72.70/11.90 % (15226)------------------------------
% 72.70/11.90 % (15205)Instruction limit reached!
% 72.70/11.90 % (15205)------------------------------
% 72.70/11.90 % (15205)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 72.70/11.90 % (15205)Termination reason: Unknown
% 72.70/11.90 % (15205)Termination phase: Saturation
% 72.70/11.90
% 72.70/11.90 % (15205)Memory used [KB]: 8955
% 72.70/11.90 % (15205)Time elapsed: 1.973 s
% 72.70/11.90 % (15205)Instructions burned: 4637 (million)
% 72.70/11.90 % (15205)------------------------------
% 72.70/11.90 % (15205)------------------------------
% 72.70/11.92 % (15228)dis+1010_1:1_aac=none:bd=preordered:e2e=on:fde=none:fe=axiom:nm=16:nwc=10.0:prag=on:i=1871:si=on:rtra=on_0 on DTF2THF_14609 for (2894ds/1871Mi)
% 72.70/11.92 % (15229)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1194:si=on:rtra=on_0 on DTF2THF_14609 for (2894ds/1194Mi)
% 74.87/12.05 % (15224)Instruction limit reached!
% 74.87/12.05 % (15224)------------------------------
% 74.87/12.05 % (15224)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.87/12.05 % (15224)Termination reason: Unknown
% 74.87/12.05 % (15224)Termination phase: Saturation
% 74.87/12.05
% 74.87/12.05 % (15224)Memory used [KB]: 6524
% 74.87/12.05 % (15224)Time elapsed: 0.368 s
% 74.87/12.05 % (15224)Instructions burned: 1102 (million)
% 74.87/12.05 % (15224)------------------------------
% 74.87/12.05 % (15224)------------------------------
% 74.87/12.06 % (15210)Instruction limit reached!
% 74.87/12.06 % (15210)------------------------------
% 74.87/12.06 % (15210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 74.87/12.06 % (15210)Termination reason: Unknown
% 74.87/12.06 % (15210)Termination phase: Saturation
% 74.87/12.06
% 74.87/12.06 % (15210)Memory used [KB]: 9722
% 74.87/12.06 % (15210)Time elapsed: 1.581 s
% 74.87/12.06 % (15210)Instructions burned: 3619 (million)
% 74.87/12.06 % (15210)------------------------------
% 74.87/12.06 % (15210)------------------------------
% 74.87/12.06 % (15233)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_14609 for (2892ds/474Mi)
% 74.87/12.07 % (15234)dis+1010_1:1_au=on:cnfonf=lazy_gen:ins=3:plsq=on:plsqc=1:plsqr=15142123,262144:sp=reverse_arity:i=3115:si=on:rtra=on_0 on DTF2THF_14609 for (2892ds/3115Mi)
% 75.84/12.29 % (15233)Instruction limit reached!
% 75.84/12.29 % (15233)------------------------------
% 75.84/12.29 % (15233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 75.84/12.29 % (15233)Termination reason: Unknown
% 75.84/12.29 % (15233)Termination phase: Saturation
% 75.84/12.29
% 75.84/12.29 % (15233)Memory used [KB]: 6780
% 75.84/12.29 % (15233)Time elapsed: 0.232 s
% 75.84/12.29 % (15233)Instructions burned: 474 (million)
% 75.84/12.29 % (15233)------------------------------
% 75.84/12.29 % (15233)------------------------------
% 76.58/12.31 % (15235)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=831:si=on:rtra=on_0 on DTF2THF_14609 for (2890ds/831Mi)
% 77.08/12.46 % (15229)Instruction limit reached!
% 77.08/12.46 % (15229)------------------------------
% 77.08/12.46 % (15229)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.08/12.46 % (15229)Termination reason: Unknown
% 77.08/12.46 % (15229)Termination phase: Saturation
% 77.08/12.46
% 77.08/12.46 % (15229)Memory used [KB]: 7164
% 77.08/12.46 % (15229)Time elapsed: 0.541 s
% 77.08/12.46 % (15229)Instructions burned: 1195 (million)
% 77.08/12.46 % (15229)------------------------------
% 77.08/12.46 % (15229)------------------------------
% 77.08/12.48 % (15238)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_14609 for (2888ds/1188Mi)
% 77.91/12.61 % (15195)Instruction limit reached!
% 77.91/12.61 % (15195)------------------------------
% 77.91/12.61 % (15195)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.91/12.61 % (15195)Termination reason: Unknown
% 77.91/12.61 % (15195)Termination phase: Saturation
% 77.91/12.61
% 77.91/12.61 % (15195)Memory used [KB]: 4349
% 77.91/12.61 % (15195)Time elapsed: 3.255 s
% 77.91/12.61 % (15195)Instructions burned: 7680 (million)
% 77.91/12.61 % (15195)------------------------------
% 77.91/12.61 % (15195)------------------------------
% 77.91/12.62 % (15241)ott+1010_1:20_cnfonf=lazy_pi_sigma_gen:fe=axiom:plsq=on:plsqc=2:plsqr=32,1:sac=on:sos=all:i=2868:si=on:rtra=on_0 on DTF2THF_14609 for (2887ds/2868Mi)
% 77.91/12.63 % (15235)Instruction limit reached!
% 77.91/12.63 % (15235)------------------------------
% 77.91/12.63 % (15235)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 77.91/12.63 % (15235)Termination reason: Unknown
% 77.91/12.63 % (15235)Termination phase: Saturation
% 77.91/12.63
% 77.91/12.63 % (15235)Memory used [KB]: 7164
% 77.91/12.63 % (15235)Time elapsed: 0.325 s
% 77.91/12.63 % (15235)Instructions burned: 831 (million)
% 77.91/12.63 % (15235)------------------------------
% 77.91/12.63 % (15235)------------------------------
% 77.91/12.64 % (15242)dis+10_1:4_atotf=0.1:avsq=on:bsr=unit_only:e2e=on:sd=1:sp=const_max:ss=axioms:i=1516:si=on:rtra=on_0 on DTF2THF_14609 for (2887ds/1516Mi)
% 78.58/12.73 % (15228)Instruction limit reached!
% 78.58/12.73 % (15228)------------------------------
% 78.58/12.73 % (15228)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 78.58/12.73 % (15228)Termination reason: Unknown
% 78.58/12.73 % (15228)Termination phase: Saturation
% 78.58/12.73
% 78.58/12.73 % (15228)Memory used [KB]: 7803
% 78.58/12.73 % (15228)Time elapsed: 0.827 s
% 78.58/12.73 % (15228)Instructions burned: 1872 (million)
% 78.58/12.73 % (15228)------------------------------
% 78.58/12.73 % (15228)------------------------------
% 78.58/12.75 % (15243)lrs+1002_1:20_afp=1000:au=on:bsd=on:cnfonf=lazy_not_gen_be_off:sos=all:sp=const_max:i=2321:si=on:rtra=on_0 on DTF2THF_14609 for (2886ds/2321Mi)
% 79.00/13.02 % (15238)Instruction limit reached!
% 79.00/13.02 % (15238)------------------------------
% 79.00/13.02 % (15238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 79.00/13.02 % (15238)Termination reason: Unknown
% 79.00/13.02 % (15238)Termination phase: Saturation
% 79.00/13.02
% 79.00/13.02 % (15238)Memory used [KB]: 7291
% 79.00/13.02 % (15238)Time elapsed: 0.556 s
% 79.00/13.02 % (15238)Instructions burned: 1188 (million)
% 79.00/13.02 % (15238)------------------------------
% 79.00/13.02 % (15238)------------------------------
% 81.76/13.04 % (15245)dis+1010_1:1_au=on:bd=off:bsd=on:ixr=off:sp=const_max:i=2812:si=on:rtra=on_0 on DTF2THF_14609 for (2883ds/2812Mi)
% 82.40/13.17 % (15242)Instruction limit reached!
% 82.40/13.17 % (15242)------------------------------
% 82.40/13.17 % (15242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 82.40/13.17 % (15242)Termination reason: Unknown
% 82.40/13.17 % (15242)Termination phase: Saturation
% 82.40/13.17
% 82.40/13.17 % (15242)Memory used [KB]: 7803
% 82.40/13.17 % (15242)Time elapsed: 0.537 s
% 82.40/13.17 % (15242)Instructions burned: 1517 (million)
% 82.40/13.17 % (15242)------------------------------
% 82.40/13.17 % (15242)------------------------------
% 82.40/13.18 % (15246)dis+1002_8:1_bd=off:sd=1:sgt=16:ss=axioms:i=4604:si=on:rtra=on_0 on DTF2THF_14609 for (2881ds/4604Mi)
% 82.81/13.23 % (15219)Instruction limit reached!
% 82.81/13.23 % (15219)------------------------------
% 82.81/13.23 % (15219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 82.81/13.23 % (15219)Termination reason: Unknown
% 82.81/13.23 % (15219)Termination phase: Saturation
% 82.81/13.23
% 82.81/13.23 % (15219)Memory used [KB]: 13944
% 82.81/13.23 % (15219)Time elapsed: 1.794 s
% 82.81/13.23 % (15219)Instructions burned: 3712 (million)
% 82.81/13.23 % (15219)------------------------------
% 82.81/13.23 % (15219)------------------------------
% 82.81/13.25 % (15248)ott+1002_1:4_c=on:chr=on:cnfonf=lazy_not_be_gen:hud=10:nm=10:piset=all_but_not_eq:rp=on:spb=goal:uhcvi=on:i=2678:si=on:rtra=on_0 on DTF2THF_14609 for (2880ds/2678Mi)
% 83.69/13.48 % (15234)Instruction limit reached!
% 83.69/13.48 % (15234)------------------------------
% 83.69/13.48 % (15234)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 83.69/13.48 % (15234)Termination reason: Unknown
% 83.69/13.48 % (15234)Termination phase: Saturation
% 83.69/13.48
% 83.69/13.48 % (15234)Memory used [KB]: 12281
% 83.69/13.48 % (15234)Time elapsed: 1.410 s
% 83.69/13.48 % (15234)Instructions burned: 3116 (million)
% 83.69/13.48 % (15234)------------------------------
% 83.69/13.48 % (15234)------------------------------
% 83.69/13.50 % (15252)dis+1010_1:4_avsq=on:avsqr=16,1:bet=on:cbe=off:cnfonf=lazy_not_be_gen:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=643:si=on:rtra=on_0 on DTF2THF_14609 for (2878ds/643Mi)
% 84.07/13.53 % (15243)Refutation not found, non-redundant clauses discarded% (15243)------------------------------
% 84.07/13.53 % (15243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.07/13.53 % (15243)Termination reason: Refutation not found, non-redundant clauses discarded
% 84.07/13.53
% 84.07/13.53 % (15243)Memory used [KB]: 6140
% 84.07/13.53 % (15243)Time elapsed: 0.797 s
% 84.07/13.53 % (15243)Instructions burned: 1989 (million)
% 84.07/13.53 % (15243)------------------------------
% 84.07/13.53 % (15243)------------------------------
% 84.07/13.54 % (15254)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=458:si=on:rtra=on_0 on DTF2THF_14609 for (2878ds/458Mi)
% 84.50/13.71 % (15252)Instruction limit reached!
% 84.50/13.71 % (15252)------------------------------
% 84.50/13.71 % (15252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.50/13.71 % (15252)Termination reason: Unknown
% 84.50/13.71 % (15252)Termination phase: Saturation
% 84.50/13.71
% 84.50/13.71 % (15252)Memory used [KB]: 6268
% 84.50/13.71 % (15252)Time elapsed: 0.233 s
% 84.50/13.71 % (15252)Instructions burned: 646 (million)
% 84.50/13.71 % (15252)------------------------------
% 84.50/13.71 % (15252)------------------------------
% 84.50/13.72 % (15256)lrs+1010_1:1_anc=all_dependent:apa=on:au=on:bd=off:c=on:cnfonf=off:ntd=on:i=2546:si=on:rtra=on_0 on DTF2THF_14609 for (2876ds/2546Mi)
% 84.50/13.75 % (15254)Instruction limit reached!
% 84.50/13.75 % (15254)------------------------------
% 84.50/13.75 % (15254)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.50/13.75 % (15254)Termination reason: Unknown
% 84.50/13.75 % (15254)Termination phase: Saturation
% 84.50/13.75
% 84.50/13.75 % (15254)Memory used [KB]: 5884
% 84.50/13.75 % (15254)Time elapsed: 0.227 s
% 84.50/13.75 % (15254)Instructions burned: 459 (million)
% 84.50/13.75 % (15254)------------------------------
% 84.50/13.75 % (15254)------------------------------
% 84.50/13.76 % (15257)dis+21_1:1_acc=model:au=on:cnfonf=lazy_gen:ins=2:plsq=on:plsqc=1:plsqr=32,1:i=1432:si=on:rtra=on_0 on DTF2THF_14609 for (2875ds/1432Mi)
% 84.50/13.77 % (15241)Instruction limit reached!
% 84.50/13.77 % (15241)------------------------------
% 84.50/13.77 % (15241)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 84.50/13.77 % (15241)Termination reason: Unknown
% 84.50/13.77 % (15241)Termination phase: Saturation
% 84.50/13.77
% 84.50/13.77 % (15241)Memory used [KB]: 9594
% 84.50/13.77 % (15241)Time elapsed: 1.147 s
% 84.50/13.77 % (15241)Instructions burned: 2870 (million)
% 84.50/13.77 % (15241)------------------------------
% 84.50/13.77 % (15241)------------------------------
% 84.50/13.78 % (15259)dis+1002_1:1_cnfonf=lazy_not_gen:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=386:si=on:rtra=on_0 on DTF2THF_14609 for (2875ds/386Mi)
% 85.22/13.95 % (15259)Instruction limit reached!
% 85.22/13.95 % (15259)------------------------------
% 85.22/13.95 % (15259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 85.22/13.95 % (15259)Termination reason: Unknown
% 85.22/13.95 % (15259)Termination phase: Saturation
% 85.22/13.95
% 85.22/13.95 % (15259)Memory used [KB]: 5884
% 85.22/13.95 % (15259)Time elapsed: 0.171 s
% 85.22/13.95 % (15259)Instructions burned: 387 (million)
% 85.22/13.95 % (15259)------------------------------
% 85.22/13.95 % (15259)------------------------------
% 85.22/13.97 % (15261)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=360:si=on:rtra=on_0 on DTF2THF_14609 for (2873ds/360Mi)
% 89.49/14.13 % (15261)Instruction limit reached!
% 89.49/14.13 % (15261)------------------------------
% 89.49/14.13 % (15261)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.49/14.13 % (15261)Termination reason: Unknown
% 89.49/14.13 % (15261)Termination phase: Saturation
% 89.49/14.13
% 89.49/14.13 % (15261)Memory used [KB]: 5884
% 89.49/14.13 % (15261)Time elapsed: 0.162 s
% 89.49/14.13 % (15261)Instructions burned: 361 (million)
% 89.49/14.13 % (15261)------------------------------
% 89.49/14.13 % (15261)------------------------------
% 89.49/14.14 % (15265)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=5446:si=on:rtra=on_0 on DTF2THF_14609 for (2871ds/5446Mi)
% 89.92/14.21 % (15216)Instruction limit reached!
% 89.92/14.21 % (15216)------------------------------
% 89.92/14.21 % (15216)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.92/14.21 % (15216)Termination reason: Unknown
% 89.92/14.21 % (15216)Termination phase: Saturation
% 89.92/14.21
% 89.92/14.21 % (15216)Memory used [KB]: 12153
% 89.92/14.21 % (15216)Time elapsed: 2.988 s
% 89.92/14.21 % (15216)Instructions burned: 7258 (million)
% 89.92/14.21 % (15216)------------------------------
% 89.92/14.21 % (15216)------------------------------
% 89.92/14.22 % (15257)Instruction limit reached!
% 89.92/14.22 % (15257)------------------------------
% 89.92/14.22 % (15257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.92/14.22 % (15257)Termination reason: Unknown
% 89.92/14.22 % (15257)Termination phase: Saturation
% 89.92/14.22
% 89.92/14.22 % (15257)Memory used [KB]: 7164
% 89.92/14.22 % (15257)Time elapsed: 0.456 s
% 89.92/14.22 % (15257)Instructions burned: 1432 (million)
% 89.92/14.22 % (15257)------------------------------
% 89.92/14.22 % (15257)------------------------------
% 89.92/14.23 % (15268)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=2573:si=on:rtra=on_0 on DTF2THF_14609 for (2871ds/2573Mi)
% 89.92/14.23 % (15269)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=2655:si=on:rtra=on_0 on DTF2THF_14609 for (2871ds/2655Mi)
% 89.92/14.24 % (15248)Instruction limit reached!
% 89.92/14.24 % (15248)------------------------------
% 89.92/14.24 % (15248)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.92/14.24 % (15248)Termination reason: Unknown
% 89.92/14.24 % (15248)Termination phase: Saturation
% 89.92/14.24
% 89.92/14.24 % (15248)Memory used [KB]: 6652
% 89.92/14.24 % (15248)Time elapsed: 1.010 s
% 89.92/14.24 % (15248)Instructions burned: 2678 (million)
% 89.92/14.24 % (15248)------------------------------
% 89.92/14.24 % (15248)------------------------------
% 89.92/14.25 % (15270)dis+1002_16:1_apa=on:au=on:av=off:cnfonf=off:e2e=on:nm=0:nwc=10.0:i=2781:si=on:rtra=on_0 on DTF2THF_14609 for (2870ds/2781Mi)
% 89.92/14.28 % (15245)Instruction limit reached!
% 89.92/14.28 % (15245)------------------------------
% 89.92/14.28 % (15245)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 89.92/14.28 % (15245)Termination reason: Unknown
% 89.92/14.28 % (15245)Termination phase: Saturation
% 89.92/14.28
% 89.92/14.28 % (15245)Memory used [KB]: 9722
% 89.92/14.28 % (15245)Time elapsed: 1.264 s
% 89.92/14.28 % (15245)Instructions burned: 2812 (million)
% 89.92/14.28 % (15245)------------------------------
% 89.92/14.28 % (15245)------------------------------
% 89.92/14.30 % (15272)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=307:si=on:rtra=on_0 on DTF2THF_14609 for (2870ds/307Mi)
% 90.53/14.43 % (15272)Instruction limit reached!
% 90.53/14.43 % (15272)------------------------------
% 90.53/14.43 % (15272)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 90.53/14.43 % (15272)Termination reason: Unknown
% 90.53/14.43 % (15272)Termination phase: Saturation
% 90.53/14.43
% 90.53/14.43 % (15272)Memory used [KB]: 5884
% 90.53/14.43 % (15272)Time elapsed: 0.139 s
% 90.53/14.43 % (15272)Instructions burned: 307 (million)
% 90.53/14.43 % (15272)------------------------------
% 90.53/14.43 % (15272)------------------------------
% 90.53/14.45 % (15273)lrs+1010_1:1_avsq=on:avsqr=1,16:kws=inv_arity:nwc=5.0:sd=1:ss=axioms:i=1548:si=on:rtra=on_0 on DTF2THF_14609 for (2868ds/1548Mi)
% 91.47/14.86 % (15273)Instruction limit reached!
% 91.47/14.86 % (15273)------------------------------
% 91.47/14.86 % (15273)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.47/14.86 % (15273)Termination reason: Unknown
% 91.47/14.86 % (15273)Termination phase: Saturation
% 91.47/14.86
% 91.47/14.86 % (15273)Memory used [KB]: 7291
% 91.47/14.86 % (15273)Time elapsed: 0.412 s
% 91.47/14.86 % (15273)Instructions burned: 1551 (million)
% 91.47/14.86 % (15273)------------------------------
% 91.47/14.86 % (15273)------------------------------
% 91.47/14.87 % (15277)lrs+10_1:3_alpa=true:hud=3:ins=1:ntd=on:plsq=on:plsqc=1:plsqr=32,1:prag=on:s2a=on:s2agt=10:i=5214:si=on:rtra=on_0 on DTF2THF_14609 for (2864ds/5214Mi)
% 91.47/14.89 % (15256)Instruction limit reached!
% 91.47/14.89 % (15256)------------------------------
% 91.47/14.89 % (15256)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 91.47/14.89 % (15256)Termination reason: Unknown
% 91.47/14.89 % (15256)Termination phase: Saturation
% 91.47/14.89
% 91.47/14.89 % (15256)Memory used [KB]: 8315
% 91.47/14.89 % (15256)Time elapsed: 1.172 s
% 91.47/14.89 % (15256)Instructions burned: 2547 (million)
% 91.47/14.89 % (15256)------------------------------
% 91.47/14.89 % (15256)------------------------------
% 92.11/14.92 % (15278)dis+21_1:1_aac=none:bsr=on:nwc=3.0:s2a=on:i=3201:si=on:rtra=on_0 on DTF2THF_14609 for (2864ds/3201Mi)
% 96.42/15.16 % (15246)Instruction limit reached!
% 96.42/15.16 % (15246)------------------------------
% 96.42/15.16 % (15246)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.42/15.16 % (15246)Termination reason: Unknown
% 96.42/15.16 % (15246)Termination phase: Saturation
% 96.42/15.16
% 96.42/15.16 % (15246)Memory used [KB]: 8315
% 96.42/15.16 % (15246)Time elapsed: 2.001 s
% 96.42/15.16 % (15246)Instructions burned: 4604 (million)
% 96.42/15.16 % (15246)------------------------------
% 96.42/15.16 % (15246)------------------------------
% 96.42/15.18 % (15281)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=454:si=on:rtra=on_0 on DTF2THF_14609 for (2861ds/454Mi)
% 96.94/15.25 % (15270)Instruction limit reached!
% 96.94/15.25 % (15270)------------------------------
% 96.94/15.25 % (15270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 96.94/15.25 % (15270)Termination reason: Unknown
% 96.94/15.25 % (15270)Termination phase: Saturation
% 96.94/15.25
% 96.94/15.25 % (15270)Memory used [KB]: 2558
% 96.94/15.25 % (15270)Time elapsed: 1.008 s
% 96.94/15.25 % (15270)Instructions burned: 2781 (million)
% 96.94/15.25 % (15270)------------------------------
% 96.94/15.25 % (15270)------------------------------
% 96.94/15.27 % (15283)lrs+1002_1:32_au=on:ins=2:nm=16:ntd=on:piset=all_but_not_eq:sp=occurrence:i=3049:si=on:rtra=on_0 on DTF2THF_14609 for (2860ds/3049Mi)
% 97.51/15.39 % (15281)Instruction limit reached!
% 97.51/15.39 % (15281)------------------------------
% 97.51/15.39 % (15281)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 97.51/15.39 % (15281)Termination reason: Unknown
% 97.51/15.39 % (15281)Termination phase: Saturation
% 97.51/15.39
% 97.51/15.39 % (15281)Memory used [KB]: 11129
% 97.51/15.39 % (15281)Time elapsed: 0.212 s
% 97.51/15.39 % (15281)Instructions burned: 455 (million)
% 97.51/15.39 % (15281)------------------------------
% 97.51/15.39 % (15281)------------------------------
% 98.24/15.42 % (15269)Instruction limit reached!
% 98.24/15.42 % (15269)------------------------------
% 98.24/15.42 % (15269)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.24/15.42 % (15269)Termination reason: Unknown
% 98.24/15.42 % (15269)Termination phase: Saturation
% 98.24/15.42
% 98.24/15.42 % (15269)Memory used [KB]: 5884
% 98.24/15.42 % (15269)Time elapsed: 1.186 s
% 98.24/15.42 % (15269)Instructions burned: 2657 (million)
% 98.24/15.42 % (15269)------------------------------
% 98.24/15.42 % (15269)------------------------------
% 98.24/15.42 % (15284)lrs+1010_1:1_bd=preordered:cnfonf=off:e2e=on:kws=inv_precedence:lwlo=on:sd=2:ss=axioms:i=7311:si=on:rtra=on_0 on DTF2THF_14609 for (2859ds/7311Mi)
% 98.24/15.42 % (15284)Refutation not found, incomplete strategy
% 98.24/15.42 % (15284)------------------------------
% 98.24/15.42 % (15284)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.24/15.42 % (15284)Termination reason: Refutation not found, incomplete strategy
% 98.24/15.42
% 98.24/15.42
% 98.24/15.42 % (15284)Memory used [KB]: 5756
% 98.24/15.42 % (15284)Time elapsed: 0.034 s
% 98.24/15.42 % (15284)Instructions burned: 18 (million)
% 98.24/15.42 % (15284)------------------------------
% 98.24/15.42 % (15284)------------------------------
% 98.24/15.43 % (15286)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1683:si=on:rtra=on_0 on DTF2THF_14609 for (2859ds/1683Mi)
% 98.24/15.43 % (15285)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=6804:si=on:rtra=on_0 on DTF2THF_14609 for (2859ds/6804Mi)
% 98.67/15.50 % (15268)Instruction limit reached!
% 98.67/15.50 % (15268)------------------------------
% 98.67/15.50 % (15268)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 98.67/15.50 % (15268)Termination reason: Unknown
% 98.67/15.50 % (15268)Termination phase: Saturation
% 98.67/15.50
% 98.67/15.50 % (15268)Memory used [KB]: 11769
% 98.67/15.50 % (15268)Time elapsed: 1.280 s
% 98.67/15.50 % (15268)Instructions burned: 2574 (million)
% 98.67/15.50 % (15268)------------------------------
% 98.67/15.50 % (15268)------------------------------
% 98.67/15.54 % (15287)lrs+10_8:1_au=on:av=off:bd=off:cs=on:e2e=on:hfsq=on:hfsqc=50:hfsql=off:nm=0:i=4688:si=on:rtra=on_0 on DTF2THF_14609 for (2858ds/4688Mi)
% 103.36/16.15 % (15286)Instruction limit reached!
% 103.36/16.15 % (15286)------------------------------
% 103.36/16.15 % (15286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 103.36/16.15 % (15286)Termination reason: Unknown
% 103.36/16.15 % (15286)Termination phase: Saturation
% 103.36/16.15
% 103.36/16.15 % (15286)Memory used [KB]: 8059
% 103.36/16.15 % (15286)Time elapsed: 0.720 s
% 103.36/16.15 % (15286)Instructions burned: 1684 (million)
% 103.36/16.15 % (15286)------------------------------
% 103.36/16.15 % (15286)------------------------------
% 103.36/16.16 % (15293)dis-1_1:1_amm=off:au=on:cbe=off:spb=intro:i=2207:si=on:rtra=on_0 on DTF2THF_14609 for (2851ds/2207Mi)
% 104.47/16.34 % (15278)Instruction limit reached!
% 104.47/16.34 % (15278)------------------------------
% 104.47/16.34 % (15278)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 104.47/16.34 % (15278)Termination reason: Unknown
% 104.47/16.34 % (15278)Termination phase: Saturation
% 104.47/16.34
% 104.47/16.34 % (15278)Memory used [KB]: 10874
% 104.47/16.34 % (15278)Time elapsed: 1.450 s
% 104.47/16.34 % (15278)Instructions burned: 3201 (million)
% 104.47/16.34 % (15278)------------------------------
% 104.47/16.34 % (15278)------------------------------
% 104.47/16.36 % (15295)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=8216:si=on:rtra=on_0 on DTF2THF_14609 for (2849ds/8216Mi)
% 105.53/16.52 % (15283)Instruction limit reached!
% 105.53/16.52 % (15283)------------------------------
% 105.53/16.52 % (15283)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.53/16.52 % (15283)Termination reason: Unknown
% 105.53/16.52 % (15283)Termination phase: Saturation
% 105.53/16.52
% 105.53/16.52 % (15283)Memory used [KB]: 6780
% 105.53/16.52 % (15283)Time elapsed: 1.249 s
% 105.53/16.52 % (15283)Instructions burned: 3050 (million)
% 105.53/16.52 % (15283)------------------------------
% 105.53/16.52 % (15283)------------------------------
% 105.53/16.54 % (15297)lrs+1010_1:1_atotf=0.5:au=on:cbe=off:cnfonf=lazy_not_be_gen:fe=off:nwc=5.0:spb=units:i=430:si=on:rtra=on_0 on DTF2THF_14609 for (2848ds/430Mi)
% 105.96/16.69 % (15297)Instruction limit reached!
% 105.96/16.69 % (15297)------------------------------
% 105.96/16.69 % (15297)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.96/16.69 % (15297)Termination reason: Unknown
% 105.96/16.69 % (15297)Termination phase: Saturation
% 105.96/16.69
% 105.96/16.69 % (15297)Memory used [KB]: 5884
% 105.96/16.69 % (15297)Time elapsed: 0.171 s
% 105.96/16.69 % (15297)Instructions burned: 433 (million)
% 105.96/16.69 % (15297)------------------------------
% 105.96/16.69 % (15297)------------------------------
% 105.96/16.69 % (15277)Instruction limit reached!
% 105.96/16.69 % (15277)------------------------------
% 105.96/16.69 % (15277)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 105.96/16.69 % (15277)Termination reason: Unknown
% 105.96/16.69 % (15277)Termination phase: Saturation
% 105.96/16.69
% 105.96/16.69 % (15277)Memory used [KB]: 7931
% 105.96/16.69 % (15277)Time elapsed: 1.820 s
% 105.96/16.69 % (15277)Instructions burned: 5215 (million)
% 105.96/16.69 % (15277)------------------------------
% 105.96/16.69 % (15277)------------------------------
% 105.96/16.70 % (15298)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=2012:si=on:rtra=on_0 on DTF2THF_14609 for (2846ds/2012Mi)
% 106.49/16.71 % (15299)ott+1010_1:32_apa=on:atotf=0.3:au=on:c=on:cnfonf=off:fe=off:fsr=off:nm=6:piset=or:sac=on:sos=on:i=631:si=on:rtra=on_0 on DTF2THF_14609 for (2846ds/631Mi)
% 106.80/16.82 % (15265)Instruction limit reached!
% 106.80/16.82 % (15265)------------------------------
% 106.80/16.82 % (15265)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 106.80/16.82 % (15265)Termination reason: Unknown
% 106.80/16.82 % (15265)Termination phase: Saturation
% 106.80/16.82
% 106.80/16.82 % (15265)Memory used [KB]: 15223
% 106.80/16.82 % (15265)Time elapsed: 2.679 s
% 106.80/16.82 % (15265)Instructions burned: 5446 (million)
% 106.80/16.82 % (15265)------------------------------
% 106.80/16.82 % (15265)------------------------------
% 106.80/16.84 % (15301)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=8785:si=on:rtra=on_0 on DTF2THF_14609 for (2845ds/8785Mi)
% 107.03/16.99 % (15299)Instruction limit reached!
% 107.03/16.99 % (15299)------------------------------
% 107.03/16.99 % (15299)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 107.03/16.99 % (15299)Termination reason: Unknown
% 107.03/16.99 % (15299)Termination phase: Saturation
% 107.03/16.99
% 107.03/16.99 % (15299)Memory used [KB]: 6012
% 107.03/16.99 % (15299)Time elapsed: 0.283 s
% 107.03/16.99 % (15299)Instructions burned: 631 (million)
% 107.03/16.99 % (15299)------------------------------
% 107.03/16.99 % (15299)------------------------------
% 107.03/17.00 % (15303)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=739:si=on:rtra=on_0 on DTF2THF_14609 for (2843ds/739Mi)
% 110.23/17.17 % (15287)Instruction limit reached!
% 110.23/17.17 % (15287)------------------------------
% 110.23/17.17 % (15287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 110.23/17.17 % (15287)Termination reason: Unknown
% 110.23/17.17 % (15287)Termination phase: Saturation
% 110.23/17.17
% 110.23/17.17 % (15287)Memory used [KB]: 3582
% 110.23/17.17 % (15287)Time elapsed: 1.644 s
% 110.23/17.17 % (15287)Instructions burned: 4688 (million)
% 110.23/17.17 % (15287)------------------------------
% 110.23/17.17 % (15287)------------------------------
% 110.23/17.19 % (15305)dis+1002_1:1024_fe=off:hud=5:prag=on:i=5473:si=on:rtra=on_0 on DTF2THF_14609 for (2841ds/5473Mi)
% 110.78/17.21 % (15293)Instruction limit reached!
% 110.78/17.21 % (15293)------------------------------
% 110.78/17.21 % (15293)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 110.78/17.21 % (15293)Termination reason: Unknown
% 110.78/17.21 % (15293)Termination phase: Saturation
% 110.78/17.21
% 110.78/17.21 % (15293)Memory used [KB]: 9978
% 110.78/17.21 % (15293)Time elapsed: 1.048 s
% 110.78/17.21 % (15293)Instructions burned: 2207 (million)
% 110.78/17.21 % (15293)------------------------------
% 110.78/17.21 % (15293)------------------------------
% 110.78/17.23 % (15306)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=43570:si=on:rtra=on_0 on DTF2THF_14609 for (2841ds/43570Mi)
% 111.30/17.33 % (15298)Instruction limit reached!
% 111.30/17.33 % (15298)------------------------------
% 111.30/17.33 % (15298)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.30/17.33 % (15298)Termination reason: Unknown
% 111.30/17.33 % (15298)Termination phase: Saturation
% 111.30/17.33
% 111.30/17.33 % (15298)Memory used [KB]: 14328
% 111.30/17.33 % (15298)Time elapsed: 0.658 s
% 111.30/17.33 % (15298)Instructions burned: 2014 (million)
% 111.30/17.33 % (15298)------------------------------
% 111.30/17.33 % (15298)------------------------------
% 111.30/17.34 % (15307)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=8382:si=on:rtra=on_0 on DTF2THF_14609 for (2840ds/8382Mi)
% 111.30/17.38 % (15303)Instruction limit reached!
% 111.30/17.38 % (15303)------------------------------
% 111.30/17.38 % (15303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 111.30/17.38 % (15303)Termination reason: Unknown
% 111.30/17.38 % (15303)Termination phase: Saturation
% 111.30/17.38
% 111.30/17.38 % (15303)Memory used [KB]: 6908
% 111.30/17.38 % (15303)Time elapsed: 0.394 s
% 111.30/17.38 % (15303)Instructions burned: 740 (million)
% 111.30/17.38 % (15303)------------------------------
% 111.30/17.38 % (15303)------------------------------
% 111.30/17.39 % (15308)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=407:si=on:rtra=on_0 on DTF2THF_14609 for (2839ds/407Mi)
% 112.03/17.57 % (15308)Instruction limit reached!
% 112.03/17.57 % (15308)------------------------------
% 112.03/17.57 % (15308)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 112.03/17.57 % (15308)Termination reason: Unknown
% 112.03/17.57 % (15308)Termination phase: Saturation
% 112.03/17.57
% 112.03/17.57 % (15308)Memory used [KB]: 6652
% 112.03/17.57 % (15308)Time elapsed: 0.199 s
% 112.03/17.57 % (15308)Instructions burned: 408 (million)
% 112.03/17.57 % (15308)------------------------------
% 112.03/17.57 % (15308)------------------------------
% 112.03/17.58 % (15310)lrs+10_1:50_cbe=off:cnfonf=lazy_pi_sigma_gen:fe=off:hud=5:plsq=on:plsqr=1,32:sos=all:i=2971:si=on:rtra=on_0 on DTF2THF_14609 for (2837ds/2971Mi)
% 113.43/17.95 % (15285)Instruction limit reached!
% 113.43/17.95 % (15285)------------------------------
% 113.43/17.95 % (15285)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 113.43/17.95 % (15285)Termination reason: Unknown
% 113.43/17.95 % (15285)Termination phase: Saturation
% 113.43/17.95
% 113.43/17.95 % (15285)Memory used [KB]: 6140
% 113.43/17.95 % (15285)Time elapsed: 2.521 s
% 113.43/17.95 % (15285)Instructions burned: 6805 (million)
% 113.43/17.95 % (15285)------------------------------
% 113.43/17.95 % (15285)------------------------------
% 113.43/17.96 % (15313)lrs+1002_1:1_aac=none:bd=off:e2e=on:fde=none:fe=off:piset=or:prag=on:rawr=on:sos=on:updr=off:i=9822:si=on:rtra=on_0 on DTF2THF_14609 for (2833ds/9822Mi)
% 122.00/18.88 % (15310)Instruction limit reached!
% 122.00/18.88 % (15310)------------------------------
% 122.00/18.88 % (15310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 122.00/18.88 % (15310)Termination reason: Unknown
% 122.00/18.88 % (15310)Termination phase: Saturation
% 122.00/18.88
% 122.00/18.88 % (15310)Memory used [KB]: 6140
% 122.00/18.88 % (15310)Time elapsed: 1.326 s
% 122.00/18.88 % (15310)Instructions burned: 2973 (million)
% 122.00/18.88 % (15310)------------------------------
% 122.00/18.88 % (15310)------------------------------
% 122.68/18.90 % (15316)dis+10_5:1_av=off:ntd=on:s2a=on:s2at=3.0:sgt=16:sp=unary_frequency:ss=axioms:i=8425:si=on:rtra=on_0 on DTF2THF_14609 for (2824ds/8425Mi)
% 126.16/19.42 % (15305)Instruction limit reached!
% 126.16/19.42 % (15305)------------------------------
% 126.16/19.42 % (15305)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 126.16/19.42 % (15305)Termination reason: Unknown
% 126.16/19.42 % (15305)Termination phase: Saturation
% 126.16/19.42
% 126.16/19.42 % (15305)Memory used [KB]: 7547
% 126.16/19.42 % (15305)Time elapsed: 2.261 s
% 126.16/19.42 % (15305)Instructions burned: 5474 (million)
% 126.16/19.42 % (15305)------------------------------
% 126.16/19.42 % (15305)------------------------------
% 126.16/19.44 % (15319)lrs+30_1:1_aac=none:au=on:cbe=off:cs=on:nm=2:rawr=on:sos=on:i=3107:si=on:rtra=on_0 on DTF2THF_14609 for (2819ds/3107Mi)
% 127.99/19.75 % (15295)Instruction limit reached!
% 127.99/19.75 % (15295)------------------------------
% 127.99/19.75 % (15295)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 127.99/19.75 % (15295)Termination reason: Unknown
% 127.99/19.75 % (15295)Termination phase: Saturation
% 127.99/19.75
% 127.99/19.75 % (15295)Memory used [KB]: 9466
% 127.99/19.75 % (15295)Time elapsed: 3.410 s
% 127.99/19.75 % (15295)Instructions burned: 8217 (million)
% 127.99/19.75 % (15295)------------------------------
% 127.99/19.75 % (15295)------------------------------
% 127.99/19.77 % (15320)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=7967:si=on:rtra=on_0 on DTF2THF_14609 for (2815ds/7967Mi)
% 130.50/20.09 % (15301)Instruction limit reached!
% 130.50/20.09 % (15301)------------------------------
% 130.50/20.09 % (15301)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 130.50/20.09 % (15301)Termination reason: Unknown
% 130.50/20.09 % (15301)Termination phase: Saturation
% 130.50/20.09
% 130.50/20.10 % (15301)Memory used [KB]: 11129
% 130.50/20.10 % (15301)Time elapsed: 3.271 s
% 130.50/20.10 % (15301)Instructions burned: 8787 (million)
% 130.50/20.10 % (15301)------------------------------
% 130.50/20.10 % (15301)------------------------------
% 130.50/20.11 % (15322)lrs+1010_10:959_abs=on:acc=on:bd=off:ccuc=small_ones:cha=on:cnfonf=lazy_simp:fd=preordered:fe=off:hud=3:ile=on:kws=inv_frequency:nm=2:piset=and:sd=5:sp=frequency:spb=goal_then_units:ss=axioms:st=4.5:i=3629:si=on:rtra=on_0 on DTF2THF_14609 for (2812ds/3629Mi)
% 135.85/20.95 % (15319)Refutation not found, non-redundant clauses discarded% (15319)------------------------------
% 135.85/20.95 % (15319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 135.85/20.95 % (15319)Termination reason: Refutation not found, non-redundant clauses discarded
% 135.85/20.95
% 135.85/20.95 % (15319)Memory used [KB]: 11897
% 135.85/20.95 % (15319)Time elapsed: 1.516 s
% 135.85/20.95 % (15319)Instructions burned: 3065 (million)
% 135.85/20.95 % (15319)------------------------------
% 135.85/20.95 % (15319)------------------------------
% 135.85/20.97 % (15327)lrs+1010_1:1024_au=on:fe=axiom:lwlo=on:nm=0:ntd=on:nwc=10.0:spb=non_intro:uhcvi=on:i=939:si=on:rtra=on_0 on DTF2THF_14609 for (2803ds/939Mi)
% 138.23/21.13 % (15307)Instruction limit reached!
% 138.23/21.13 % (15307)------------------------------
% 138.23/21.13 % (15307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 138.23/21.13 % (15307)Termination reason: Unknown
% 138.23/21.13 % (15307)Termination phase: Saturation
% 138.23/21.13
% 138.23/21.13 % (15307)Memory used [KB]: 12792
% 138.23/21.13 % (15307)Time elapsed: 3.813 s
% 138.23/21.13 % (15307)Instructions burned: 8383 (million)
% 138.23/21.13 % (15307)------------------------------
% 138.23/21.13 % (15307)------------------------------
% 138.23/21.15 % (15329)dis+1666_14:1_cnfonf=lazy_gen:fe=off:hud=10:piset=all_but_not_eq:prag=on:sp=const_max:i=1188:si=on:rtra=on_0 on DTF2THF_14609 for (2801ds/1188Mi)
% 138.23/21.15 % (15327)First to succeed.
% 138.23/21.16 % (15327)Refutation found. Thanks to Tanya!
% 138.23/21.16 % SZS status Theorem for DTF2THF_14609
% 138.23/21.16 % SZS output start Proof for DTF2THF_14609
% 138.23/21.16 thf(type_def_5, type, a: $tType).
% 138.23/21.16 thf(type_def_7, type, b: $tType).
% 138.23/21.16 thf(func_def_0, type, a: $tType).
% 138.23/21.16 thf(func_def_1, type, b: $tType).
% 138.23/21.16 thf(func_def_12, type, diff: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1) > X0)).
% 138.23/21.16 thf(func_def_13, type, sK0: a > b > b > $o).
% 138.23/21.16 thf(func_def_14, type, sK1: a > a > $o).
% 138.23/21.16 thf(func_def_15, type, sK2: a > b > b > $o).
% 138.23/21.16 thf(func_def_16, type, sK3: a > a > $o).
% 138.23/21.16 thf(func_def_17, type, sK4: a > b).
% 138.23/21.16 thf(func_def_18, type, sK5: a > b).
% 138.23/21.16 thf(func_def_19, type, sK6: a > b).
% 138.23/21.16 thf(func_def_20, type, sK7: a).
% 138.23/21.16 thf(func_def_21, type, sK8: a).
% 138.23/21.16 thf(func_def_22, type, sK9: a > b).
% 138.23/21.16 thf(func_def_23, type, sK10: a > b).
% 138.23/21.16 thf(func_def_24, type, sK11: a).
% 138.23/21.16 thf(func_def_25, type, sK12: a).
% 138.23/21.16 thf(func_def_27, type, ph14: !>[X0: $tType]:(X0)).
% 138.23/21.16 thf(func_def_28, type, sK15: a > b).
% 138.23/21.16 thf(func_def_29, type, sK16: a > b).
% 138.23/21.16 thf(func_def_30, type, sK17: a).
% 138.23/21.16 thf(func_def_31, type, sK18: a).
% 138.23/21.16 thf(func_def_32, type, sK19: a).
% 138.23/21.16 thf(func_def_33, type, sK20: a).
% 138.23/21.16 thf(func_def_34, type, sK21: a).
% 138.23/21.16 thf(func_def_35, type, sK22: a).
% 138.23/21.16 thf(f2526,plain,(
% 138.23/21.16 $false),
% 138.23/21.16 inference(avatar_sat_refutation,[status(thm)],[f69,f77,f81,f82,f83,f88,f93,f94,f95,f96,f97,f98,f139,f148,f153,f162,f167,f290,f367,f397,f605,f656,f841,f863,f943,f1033,f1127,f1289,f1339,f2421,f2521])).
% 138.23/21.16 thf(f2521,plain,(
% 138.23/21.16 spl13_3 | ~spl13_4 | ~spl13_6 | ~spl13_22),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f2520])).
% 138.23/21.16 thf(f2520,plain,(
% 138.23/21.16 $false | (spl13_3 | ~spl13_4 | ~spl13_6 | ~spl13_22)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f2519])).
% 138.23/21.16 thf(f2519,plain,(
% 138.23/21.16 ($true = $false) | (spl13_3 | ~spl13_4 | ~spl13_6 | ~spl13_22)),
% 138.23/21.16 inference(forward_demodulation,[status(thm)],[f2508,f414])).
% 138.23/21.16 thf(f414,plain,(
% 138.23/21.16 ((sK0 @ sK11 @ (sK9 @ sK12) @ (sK10 @ sK11)) = $false) | (spl13_3 | ~spl13_4 | ~spl13_22)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f412])).
% 138.23/21.16 thf(f412,plain,(
% 138.23/21.16 ((sK0 @ sK11 @ (sK9 @ sK12) @ (sK10 @ sK11)) = $false) | ($true != $true) | (spl13_3 | ~spl13_4 | ~spl13_22)),
% 138.23/21.16 inference(superposition,[status(thm)],[f68,f386])).
% 138.23/21.16 thf(f386,plain,(
% 138.23/21.16 ( ! [X0 : b,X1 : b] : (($true = (sK0 @ sK11 @ X0 @ X1)) | ((sK0 @ sK11 @ X1 @ X0) = $false)) ) | (~spl13_4 | ~spl13_22)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f383])).
% 138.23/21.16 thf(f383,plain,(
% 138.23/21.16 ( ! [X0 : b,X1 : b] : (($true = $false) | ((sK0 @ sK11 @ X1 @ X0) = $false) | ($true = (sK0 @ sK11 @ X0 @ X1))) ) | (~spl13_4 | ~spl13_22)),
% 138.23/21.16 inference(superposition,[status(thm)],[f203,f366])).
% 138.23/21.16 thf(f366,plain,(
% 138.23/21.16 ( ! [X0 : b,X1 : b] : (($true = (sK0 @ sK12 @ X1 @ X0)) | ((sK0 @ sK11 @ X0 @ X1) = $false)) ) | ~spl13_22),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f365])).
% 138.23/21.16 thf(f365,definition,(
% 138.23/21.16 spl13_22 <=> ! [X0 : b,X1 : b] : (((sK0 @ sK11 @ X0 @ X1) = $false) | ($true = (sK0 @ sK12 @ X1 @ X0)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_22])],[avatar_definition])).
% 138.23/21.16 thf(f203,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (((sK0 @ sK12 @ X1 @ X2) = $false) | ((sK0 @ sK11 @ X1 @ X2) = $true)) ) | ~spl13_4),
% 138.23/21.16 inference(binary_proxy_clausification,[status(thm)],[f202])).
% 138.23/21.16 thf(f202,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (((sK0 @ sK11 @ X1 @ X2) = (sK0 @ sK12 @ X1 @ X2))) ) | ~spl13_4),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f199])).
% 138.23/21.16 thf(f199,plain,(
% 138.23/21.16 ( ! [X1 : b] : (((sK0 @ sK11 @ X1) = (sK0 @ sK12 @ X1))) ) | ~spl13_4),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f172])).
% 138.23/21.16 thf(f172,plain,(
% 138.23/21.16 ((sK0 @ sK12) = (sK0 @ sK11)) | ~spl13_4),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f168])).
% 138.23/21.16 thf(f168,plain,(
% 138.23/21.16 ((sK0 @ sK12) = (sK0 @ sK11)) | ($true != $true) | ~spl13_4),
% 138.23/21.16 inference(superposition,[status(thm)],[f51,f73])).
% 138.23/21.16 thf(f73,plain,(
% 138.23/21.16 ($true = (sK1 @ sK11 @ sK12)) | ~spl13_4),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f71])).
% 138.23/21.16 thf(f71,definition,(
% 138.23/21.16 spl13_4 <=> ($true = (sK1 @ sK11 @ sK12))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_4])],[avatar_definition])).
% 138.23/21.16 thf(f51,plain,(
% 138.23/21.16 ( ! [X21 : a,X22 : a] : (((sK1 @ X21 @ X22) != $true) | ((sK0 @ X21) = (sK0 @ X22))) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f23,f37])).
% 138.23/21.16 thf(f37,plain,(
% 138.23/21.16 (sK3 = sK1)),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f16,plain,(
% 138.23/21.16 (sK3 = sK1) & (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ((($true = (sK3 @ sK8 @ sK7)) & ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7)))) & ! [X9 : a,X10 : a] : (($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true != (sK3 @ X9 @ X10))) & ! [X11 : a,X12 : a] : (($true != (sK3 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true))) | (! [X15 : a,X16 : a] : (($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) & (($true = (sK3 @ sK11 @ sK12)) & ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))))) & ! [X19 : a,X20 : a] : (($true != (sK3 @ X19 @ X20)) | ($true = (sK3 @ X20 @ X19))) & ! [X21 : a,X22 : a] : ((((sK0 @ X21) = (sK0 @ X22)) & ! [X23 : b,X24 : b] : (($true = (sK0 @ X21 @ X23 @ X24)) | ($true != (sK0 @ X21 @ X24 @ X23))) & ! [X25 : b,X26 : b,X27 : b] : (((sK0 @ X21 @ X27 @ X25) != $true) | ($true != (sK0 @ X21 @ X26 @ X27)) | ($true = (sK0 @ X21 @ X26 @ X25)))) | ($true != (sK3 @ X21 @ X22))) & ! [X28 : a] : ((((sK0 @ X28) = (sK2 @ X28)) & ! [X29 : b,X30 : b] : (($true = (sK0 @ X28 @ X29 @ X30)) | ($true != (sK0 @ X28 @ X30 @ X29))) & ! [X31 : b,X32 : b,X33 : b] : (($true != (sK0 @ X28 @ X32 @ X33)) | ((sK0 @ X28 @ X31 @ X33) = $true) | ($true != (sK0 @ X28 @ X31 @ X32)))) | ($true != (sK3 @ X28 @ X28))) & ! [X34 : a,X35 : a,X36 : a] : (((sK3 @ X34 @ X35) != $true) | ($true = (sK3 @ X36 @ X35)) | ($true != (sK3 @ X36 @ X34)))),
% 138.23/21.16 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12])],[f10,f15,f14,f13,f12,f11])).
% 138.23/21.16 thf(f11,plain,(
% 138.23/21.16 ? [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((X1 = X3) & (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ? [X4 : a > b,X5 : a > b,X6 : a > b] : (? [X7 : a,X8 : a] : (((X3 @ X8 @ X7) = $true) & ($true != (X0 @ X8 @ (X4 @ X8) @ (X6 @ X7)))) & ! [X9 : a,X10 : a] : (($true = (X0 @ X9 @ (X4 @ X9) @ (X5 @ X10))) | ((X3 @ X9 @ X10) != $true)) & ! [X11 : a,X12 : a] : (($true != (X3 @ X12 @ X11)) | ($true = (X0 @ X12 @ (X5 @ X12) @ (X6 @ X11))))) | ? [X13 : a > b,X14 : a > b] : (! [X15 : a,X16 : a] : (($true = (X0 @ X15 @ (X13 @ X15) @ (X14 @ X16))) | ($true != (X3 @ X15 @ X16))) & ? [X17 : a,X18 : a] : (($true = (X3 @ X17 @ X18)) & ($true != (X0 @ X17 @ (X14 @ X17) @ (X13 @ X18)))))) & ! [X19 : a,X20 : a] : (($true != (X3 @ X19 @ X20)) | ((X3 @ X20 @ X19) = $true)) & ! [X21 : a,X22 : a] : ((((X0 @ X21) = (X0 @ X22)) & ! [X23 : b,X24 : b] : (($true = (X0 @ X21 @ X23 @ X24)) | ($true != (X0 @ X21 @ X24 @ X23))) & ! [X25 : b,X26 : b,X27 : b] : (((X0 @ X21 @ X27 @ X25) != $true) | ($true != (X0 @ X21 @ X26 @ X27)) | ($true = (X0 @ X21 @ X26 @ X25)))) | ($true != (X3 @ X21 @ X22))) & ! [X28 : a] : ((((X0 @ X28) = (X2 @ X28)) & ! [X29 : b,X30 : b] : (($true = (X0 @ X28 @ X29 @ X30)) | ($true != (X0 @ X28 @ X30 @ X29))) & ! [X31 : b,X32 : b,X33 : b] : (($true != (X0 @ X28 @ X32 @ X33)) | ($true = (X0 @ X28 @ X31 @ X33)) | ($true != (X0 @ X28 @ X31 @ X32)))) | ($true != (X3 @ X28 @ X28))) & ! [X34 : a,X35 : a,X36 : a] : (($true != (X3 @ X34 @ X35)) | ($true = (X3 @ X36 @ X35)) | ($true != (X3 @ X36 @ X34)))) => ((sK3 = sK1) & (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ? [X6 : a > b,X5 : a > b,X4 : a > b] : (? [X8 : a,X7 : a] : (($true = (sK3 @ X8 @ X7)) & ($true != (sK0 @ X8 @ (X4 @ X8) @ (X6 @ X7)))) & ! [X10 : a,X9 : a] : (($true = (sK0 @ X9 @ (X4 @ X9) @ (X5 @ X10))) | ($true != (sK3 @ X9 @ X10))) & ! [X12 : a,X11 : a] : (($true != (sK3 @ X12 @ X11)) | ($true = (sK0 @ X12 @ (X5 @ X12) @ (X6 @ X11))))) | ? [X14 : a > b,X13 : a > b] : (! [X16 : a,X15 : a] : (($true = (sK0 @ X15 @ (X13 @ X15) @ (X14 @ X16))) | ((sK3 @ X15 @ X16) != $true)) & ? [X18 : a,X17 : a] : (($true = (sK3 @ X17 @ X18)) & ($true != (sK0 @ X17 @ (X14 @ X17) @ (X13 @ X18)))))) & ! [X20 : a,X19 : a] : (($true != (sK3 @ X19 @ X20)) | ($true = (sK3 @ X20 @ X19))) & ! [X22 : a,X21 : a] : ((((sK0 @ X21) = (sK0 @ X22)) & ! [X24 : b,X23 : b] : (($true = (sK0 @ X21 @ X23 @ X24)) | ($true != (sK0 @ X21 @ X24 @ X23))) & ! [X27 : b,X26 : b,X25 : b] : (((sK0 @ X21 @ X27 @ X25) != $true) | ($true != (sK0 @ X21 @ X26 @ X27)) | ($true = (sK0 @ X21 @ X26 @ X25)))) | ($true != (sK3 @ X21 @ X22))) & ! [X28 : a] : ((((sK0 @ X28) = (sK2 @ X28)) & ! [X30 : b,X29 : b] : (($true = (sK0 @ X28 @ X29 @ X30)) | ($true != (sK0 @ X28 @ X30 @ X29))) & ! [X33 : b,X32 : b,X31 : b] : (($true != (sK0 @ X28 @ X32 @ X33)) | ((sK0 @ X28 @ X31 @ X33) = $true) | ($true != (sK0 @ X28 @ X31 @ X32)))) | ($true != (sK3 @ X28 @ X28))) & ! [X36 : a,X35 : a,X34 : a] : (((sK3 @ X34 @ X35) != $true) | ($true = (sK3 @ X36 @ X35)) | ($true != (sK3 @ X36 @ X34))))),
% 138.23/21.16 introduced(definition,[],[choice_axiom])).
% 138.23/21.16 thf(f12,plain,(
% 138.23/21.16 ? [X6 : a > b,X5 : a > b,X4 : a > b] : (? [X8 : a,X7 : a] : (($true = (sK3 @ X8 @ X7)) & ($true != (sK0 @ X8 @ (X4 @ X8) @ (X6 @ X7)))) & ! [X10 : a,X9 : a] : (($true = (sK0 @ X9 @ (X4 @ X9) @ (X5 @ X10))) | ($true != (sK3 @ X9 @ X10))) & ! [X12 : a,X11 : a] : (($true != (sK3 @ X12 @ X11)) | ($true = (sK0 @ X12 @ (X5 @ X12) @ (X6 @ X11))))) => (? [X8 : a,X7 : a] : (($true = (sK3 @ X8 @ X7)) & ($true != (sK0 @ X8 @ (sK4 @ X8) @ (sK6 @ X7)))) & ! [X10 : a,X9 : a] : (($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true != (sK3 @ X9 @ X10))) & ! [X12 : a,X11 : a] : (($true != (sK3 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true)))),
% 138.23/21.16 introduced(definition,[],[choice_axiom])).
% 138.23/21.16 thf(f13,plain,(
% 138.23/21.16 ? [X8 : a,X7 : a] : (($true = (sK3 @ X8 @ X7)) & ($true != (sK0 @ X8 @ (sK4 @ X8) @ (sK6 @ X7)))) => (($true = (sK3 @ sK8 @ sK7)) & ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))))),
% 138.23/21.16 introduced(definition,[],[choice_axiom])).
% 138.23/21.16 thf(f14,plain,(
% 138.23/21.16 ? [X14 : a > b,X13 : a > b] : (! [X16 : a,X15 : a] : (($true = (sK0 @ X15 @ (X13 @ X15) @ (X14 @ X16))) | ((sK3 @ X15 @ X16) != $true)) & ? [X18 : a,X17 : a] : (($true = (sK3 @ X17 @ X18)) & ($true != (sK0 @ X17 @ (X14 @ X17) @ (X13 @ X18))))) => (! [X16 : a,X15 : a] : (($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) & ? [X18 : a,X17 : a] : (($true = (sK3 @ X17 @ X18)) & ($true != (sK0 @ X17 @ (sK10 @ X17) @ (sK9 @ X18)))))),
% 138.23/21.16 introduced(definition,[],[choice_axiom])).
% 138.23/21.16 thf(f15,plain,(
% 138.23/21.16 ? [X18 : a,X17 : a] : (($true = (sK3 @ X17 @ X18)) & ($true != (sK0 @ X17 @ (sK10 @ X17) @ (sK9 @ X18)))) => (($true = (sK3 @ sK11 @ sK12)) & ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12))))),
% 138.23/21.16 introduced(definition,[],[choice_axiom])).
% 138.23/21.16 thf(f10,plain,(
% 138.23/21.16 ? [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((X1 = X3) & (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ? [X4 : a > b,X5 : a > b,X6 : a > b] : (? [X7 : a,X8 : a] : (((X3 @ X8 @ X7) = $true) & ($true != (X0 @ X8 @ (X4 @ X8) @ (X6 @ X7)))) & ! [X9 : a,X10 : a] : (($true = (X0 @ X9 @ (X4 @ X9) @ (X5 @ X10))) | ((X3 @ X9 @ X10) != $true)) & ! [X11 : a,X12 : a] : (($true != (X3 @ X12 @ X11)) | ($true = (X0 @ X12 @ (X5 @ X12) @ (X6 @ X11))))) | ? [X13 : a > b,X14 : a > b] : (! [X15 : a,X16 : a] : (($true = (X0 @ X15 @ (X13 @ X15) @ (X14 @ X16))) | ($true != (X3 @ X15 @ X16))) & ? [X17 : a,X18 : a] : (($true = (X3 @ X17 @ X18)) & ($true != (X0 @ X17 @ (X14 @ X17) @ (X13 @ X18)))))) & ! [X19 : a,X20 : a] : (($true != (X3 @ X19 @ X20)) | ((X3 @ X20 @ X19) = $true)) & ! [X21 : a,X22 : a] : ((((X0 @ X21) = (X0 @ X22)) & ! [X23 : b,X24 : b] : (($true = (X0 @ X21 @ X23 @ X24)) | ($true != (X0 @ X21 @ X24 @ X23))) & ! [X25 : b,X26 : b,X27 : b] : (((X0 @ X21 @ X27 @ X25) != $true) | ($true != (X0 @ X21 @ X26 @ X27)) | ($true = (X0 @ X21 @ X26 @ X25)))) | ($true != (X3 @ X21 @ X22))) & ! [X28 : a] : ((((X0 @ X28) = (X2 @ X28)) & ! [X29 : b,X30 : b] : (($true = (X0 @ X28 @ X29 @ X30)) | ($true != (X0 @ X28 @ X30 @ X29))) & ! [X31 : b,X32 : b,X33 : b] : (($true != (X0 @ X28 @ X32 @ X33)) | ($true = (X0 @ X28 @ X31 @ X33)) | ($true != (X0 @ X28 @ X31 @ X32)))) | ($true != (X3 @ X28 @ X28))) & ! [X34 : a,X35 : a,X36 : a] : (($true != (X3 @ X34 @ X35)) | ($true = (X3 @ X36 @ X35)) | ($true != (X3 @ X36 @ X34))))),
% 138.23/21.16 inference(rectify,[status(thm)],[f9])).
% 138.23/21.16 thf(f9,plain,(
% 138.23/21.16 ? [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((X1 = X3) & (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ? [X28 : a > b,X29 : a > b,X30 : a > b] : (? [X35 : a,X36 : a] : (($true = (X3 @ X36 @ X35)) & ($true != (X0 @ X36 @ (X28 @ X36) @ (X30 @ X35)))) & ! [X31 : a,X32 : a] : (($true = (X0 @ X31 @ (X28 @ X31) @ (X29 @ X32))) | ($true != (X3 @ X31 @ X32))) & ! [X33 : a,X34 : a] : (($true != (X3 @ X34 @ X33)) | ($true = (X0 @ X34 @ (X29 @ X34) @ (X30 @ X33))))) | ? [X22 : a > b,X23 : a > b] : (! [X24 : a,X25 : a] : (($true = (X0 @ X24 @ (X22 @ X24) @ (X23 @ X25))) | ((X3 @ X24 @ X25) != $true)) & ? [X26 : a,X27 : a] : (($true = (X3 @ X26 @ X27)) & ($true != (X0 @ X26 @ (X23 @ X26) @ (X22 @ X27)))))) & ! [X4 : a,X5 : a] : (($true != (X3 @ X4 @ X5)) | ((X3 @ X5 @ X4) = $true)) & ! [X9 : a,X10 : a] : ((((X0 @ X10) = (X0 @ X9)) & ! [X14 : b,X15 : b] : (($true = (X0 @ X9 @ X14 @ X15)) | ((X0 @ X9 @ X15 @ X14) != $true)) & ! [X11 : b,X12 : b,X13 : b] : (((X0 @ X9 @ X13 @ X11) != $true) | ($true != (X0 @ X9 @ X12 @ X13)) | ($true = (X0 @ X9 @ X12 @ X11)))) | ((X3 @ X9 @ X10) != $true)) & ! [X16 : a] : ((((X2 @ X16) = (X0 @ X16)) & ! [X20 : b,X21 : b] : (($true = (X0 @ X16 @ X20 @ X21)) | ($true != (X0 @ X16 @ X21 @ X20))) & ! [X17 : b,X18 : b,X19 : b] : (($true != (X0 @ X16 @ X18 @ X19)) | ($true = (X0 @ X16 @ X17 @ X19)) | ($true != (X0 @ X16 @ X17 @ X18)))) | ($true != (X3 @ X16 @ X16))) & ! [X6 : a,X7 : a,X8 : a] : (($true != (X3 @ X6 @ X7)) | ((X3 @ X8 @ X7) = $true) | ($true != (X3 @ X8 @ X6))))),
% 138.23/21.16 inference(flattening,[status(thm)],[f8])).
% 138.23/21.16 thf(f8,plain,(
% 138.23/21.16 ? [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((((? [X28 : a > b,X29 : a > b,X30 : a > b] : (? [X35 : a,X36 : a] : (($true = (X3 @ X36 @ X35)) & ($true != (X0 @ X36 @ (X28 @ X36) @ (X30 @ X35)))) & (! [X33 : a,X34 : a] : (($true != (X3 @ X34 @ X33)) | ($true = (X0 @ X34 @ (X29 @ X34) @ (X30 @ X33)))) & ! [X31 : a,X32 : a] : (($true = (X0 @ X31 @ (X28 @ X31) @ (X29 @ X32))) | ($true != (X3 @ X31 @ X32))))) | ? [X22 : a > b,X23 : a > b] : (! [X24 : a,X25 : a] : (($true = (X0 @ X24 @ (X22 @ X24) @ (X23 @ X25))) | ((X3 @ X24 @ X25) != $true)) & ? [X26 : a,X27 : a] : (($true = (X3 @ X26 @ X27)) & ($true != (X0 @ X26 @ (X23 @ X26) @ (X22 @ X27))))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) & ! [X16 : a] : ((((X2 @ X16) = (X0 @ X16)) & ! [X20 : b,X21 : b] : (($true = (X0 @ X16 @ X20 @ X21)) | ($true != (X0 @ X16 @ X21 @ X20))) & ! [X17 : b,X18 : b,X19 : b] : (($true = (X0 @ X16 @ X17 @ X19)) | (($true != (X0 @ X16 @ X18 @ X19)) | ($true != (X0 @ X16 @ X17 @ X18))))) | ($true != (X3 @ X16 @ X16)))) & ! [X9 : a,X10 : a] : ((! [X14 : b,X15 : b] : (($true = (X0 @ X9 @ X14 @ X15)) | ((X0 @ X9 @ X15 @ X14) != $true)) & ((X0 @ X10) = (X0 @ X9)) & ! [X11 : b,X12 : b,X13 : b] : (($true = (X0 @ X9 @ X12 @ X11)) | (($true != (X0 @ X9 @ X12 @ X13)) | ((X0 @ X9 @ X13 @ X11) != $true)))) | ((X3 @ X9 @ X10) != $true))) & (! [X4 : a,X5 : a] : (($true != (X3 @ X4 @ X5)) | ((X3 @ X5 @ X4) = $true)) & ! [X6 : a,X7 : a,X8 : a] : (((X3 @ X8 @ X7) = $true) | (($true != (X3 @ X8 @ X6)) | ($true != (X3 @ X6 @ X7)))) & (X1 = X3)))),
% 138.23/21.16 inference(ennf_transformation,[status(thm)],[f7])).
% 138.23/21.16 thf(f7,plain,(
% 138.23/21.16 ~! [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (($true = (X3 @ X4 @ X5)) => ((X3 @ X5 @ X4) = $true)) & ! [X6 : a,X7 : a,X8 : a] : ((($true = (X3 @ X8 @ X6)) & ($true = (X3 @ X6 @ X7))) => ((X3 @ X8 @ X7) = $true)) & (X1 = X3)) => (! [X9 : a,X10 : a] : (((X3 @ X9 @ X10) = $true) => (! [X14 : b,X15 : b] : (((X0 @ X9 @ X15 @ X14) = $true) => ($true = (X0 @ X9 @ X14 @ X15))) & ((X0 @ X10) = (X0 @ X9)) & ! [X11 : b,X12 : b,X13 : b] : ((($true = (X0 @ X9 @ X12 @ X13)) & ((X0 @ X9 @ X13 @ X11) = $true)) => ($true = (X0 @ X9 @ X12 @ X11))))) => (! [X16 : a] : (($true = (X3 @ X16 @ X16)) => (((X2 @ X16) = (X0 @ X16)) & ! [X20 : b,X21 : b] : (($true = (X0 @ X16 @ X21 @ X20)) => ($true = (X0 @ X16 @ X20 @ X21))) & ! [X17 : b,X18 : b,X19 : b] : ((($true = (X0 @ X16 @ X18 @ X19)) & ($true = (X0 @ X16 @ X17 @ X18))) => ($true = (X0 @ X16 @ X17 @ X19))))) => (! [X28 : a > b,X29 : a > b,X30 : a > b] : ((! [X33 : a,X34 : a] : (($true = (X3 @ X34 @ X33)) => ($true = (X0 @ X34 @ (X29 @ X34) @ (X30 @ X33)))) & ! [X31 : a,X32 : a] : (($true = (X3 @ X31 @ X32)) => ($true = (X0 @ X31 @ (X28 @ X31) @ (X29 @ X32))))) => ! [X35 : a,X36 : a] : (($true = (X3 @ X36 @ X35)) => ($true = (X0 @ X36 @ (X28 @ X36) @ (X30 @ X35))))) & ! [X22 : a > b,X23 : a > b] : (! [X24 : a,X25 : a] : (((X3 @ X24 @ X25) = $true) => ($true = (X0 @ X24 @ (X22 @ X24) @ (X23 @ X25)))) => ! [X26 : a,X27 : a] : (($true = (X3 @ X26 @ X27)) => ($true = (X0 @ X26 @ (X23 @ X26) @ (X22 @ X27))))) & ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))))))),
% 138.23/21.16 inference(rectify,[status(thm)],[f5])).
% 138.23/21.16 thf(f5,plain,(
% 138.23/21.16 ~! [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (($true = (X3 @ X4 @ X5)) => ((X3 @ X5 @ X4) = $true)) & ! [X6 : a,X7 : a,X8 : a] : ((($true = (X3 @ X8 @ X6)) & ($true = (X3 @ X6 @ X7))) => ((X3 @ X8 @ X7) = $true)) & (X1 = X3)) => (! [X9 : a,X10 : a] : (((X3 @ X9 @ X10) = $true) => (! [X14 : b,X15 : b] : (((X0 @ X9 @ X15 @ X14) = $true) => ($true = (X0 @ X9 @ X14 @ X15))) & ((X0 @ X10) = (X0 @ X9)) & ! [X11 : b,X12 : b,X13 : b] : ((($true = (X0 @ X9 @ X12 @ X13)) & ((X0 @ X9 @ X13 @ X11) = $true)) => ($true = (X0 @ X9 @ X12 @ X11))))) => (! [X16 : a] : (($true = (X3 @ X16 @ X16)) => (((X2 @ X16) = (X0 @ X16)) & ! [X20 : b,X21 : b] : (($true = (X0 @ X16 @ X21 @ X20)) => ($true = (X0 @ X16 @ X20 @ X21))) & ! [X17 : b,X18 : b,X19 : b] : ((($true = (X0 @ X16 @ X18 @ X19)) & ($true = (X0 @ X16 @ X17 @ X18))) => ($true = (X0 @ X16 @ X17 @ X19))))) => (! [X22 : a > b,X23 : a > b] : (! [X24 : a,X25 : a] : (((X3 @ X24 @ X25) = $true) => ($true = (X0 @ X24 @ (X22 @ X24) @ (X23 @ X25)))) => ! [X26 : a,X27 : a] : (($true = (X3 @ X26 @ X27)) => ($true = (X0 @ X26 @ (X23 @ X26) @ (X22 @ X27))))) & ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X3 @ Y2 @ Y3) => (X0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((X1 @ Y2 @ Y3) => (X2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) & ! [X36 : a > b,X37 : a > b,X38 : a > b] : ((! [X39 : a,X40 : a] : (($true = (X3 @ X39 @ X40)) => ($true = (X0 @ X39 @ (X36 @ X39) @ (X37 @ X40)))) & ! [X41 : a,X42 : a] : (($true = (X3 @ X42 @ X41)) => ($true = (X0 @ X42 @ (X37 @ X42) @ (X38 @ X41))))) => ! [X43 : a,X44 : a] : (($true = (X3 @ X44 @ X43)) => ($true = (X0 @ X44 @ (X36 @ X44) @ (X38 @ X43)))))))))),
% 138.23/21.16 inference(fool_elimination,[status(thm)],[f4])).
% 138.23/21.16 thf(f4,plain,(
% 138.23/21.16 ~! [X0 : a > b > b > $o,X1 : a > a > $o,X2 : a > b > b > $o,X3 : a > a > $o] : ((! [X4 : a,X5 : a] : ((X3 @ X4 @ X5) => (X3 @ X5 @ X4)) & (X1 = X3) & ! [X6 : a,X7 : a,X8 : a] : (((X3 @ X8 @ X6) & (X3 @ X6 @ X7)) => (X3 @ X8 @ X7))) => (! [X9 : a,X10 : a] : ((X3 @ X9 @ X10) => (((X0 @ X10) = (X0 @ X9)) & ! [X11 : b,X12 : b,X13 : b] : (((X0 @ X9 @ X12 @ X13) & (X0 @ X9 @ X13 @ X11)) => (X0 @ X9 @ X12 @ X11)) & ! [X14 : b,X15 : b] : ((X0 @ X9 @ X15 @ X14) => (X0 @ X9 @ X14 @ X15)))) => (! [X16 : a] : ((X3 @ X16 @ X16) => (! [X17 : b,X18 : b,X19 : b] : (((X0 @ X16 @ X18 @ X19) & (X0 @ X16 @ X17 @ X18)) => (X0 @ X16 @ X17 @ X19)) & ((X2 @ X16) = (X0 @ X16)) & ! [X20 : b,X21 : b] : ((X0 @ X16 @ X21 @ X20) => (X0 @ X16 @ X20 @ X21)))) => (! [X22 : a > b,X23 : a > b] : (! [X24 : a,X25 : a] : ((X3 @ X24 @ X25) => (X0 @ X24 @ (X22 @ X24) @ (X23 @ X25))) => ! [X26 : a,X27 : a] : ((X3 @ X26 @ X27) => (X0 @ X26 @ (X23 @ X26) @ (X22 @ X27)))) & ((^[X28 : a > b, X29 : a > b] : (! [X30 : a,X31 : a] : ((X3 @ X31 @ X30) => (X0 @ X31 @ (X28 @ X31) @ (X29 @ X30))))) = (^[X32 : a > b, X33 : a > b] : (! [X34 : a,X35 : a] : ((X1 @ X35 @ X34) => (X2 @ X35 @ (X32 @ X35) @ (X33 @ X34)))))) & ! [X36 : a > b,X37 : a > b,X38 : a > b] : ((! [X39 : a,X40 : a] : ((X3 @ X39 @ X40) => (X0 @ X39 @ (X36 @ X39) @ (X37 @ X40))) & ! [X41 : a,X42 : a] : ((X3 @ X42 @ X41) => (X0 @ X42 @ (X37 @ X42) @ (X38 @ X41)))) => ! [X43 : a,X44 : a] : ((X3 @ X44 @ X43) => (X0 @ X44 @ (X36 @ X44) @ (X38 @ X43))))))))),
% 138.23/21.16 inference(rectify,[status(thm)],[f2])).
% 138.23/21.16 thf(f2,negated_conjecture,(
% 138.23/21.16 ~! [X2 : a > b > b > $o,X1 : a > a > $o,X3 : a > b > b > $o,X0 : a > a > $o] : ((! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) => (X0 @ X5 @ X4)) & (X0 = X1) & ! [X5 : a,X6 : a,X4 : a] : (((X0 @ X4 @ X5) & (X0 @ X5 @ X6)) => (X0 @ X4 @ X6))) => (! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) => (((X2 @ X4) = (X2 @ X5)) & ! [X6 : b,X7 : b,X8 : b] : (((X2 @ X4 @ X7 @ X8) & (X2 @ X4 @ X8 @ X6)) => (X2 @ X4 @ X7 @ X6)) & ! [X8 : b,X7 : b] : ((X2 @ X4 @ X7 @ X8) => (X2 @ X4 @ X8 @ X7)))) => (! [X4 : a] : ((X0 @ X4 @ X4) => (! [X7 : b,X5 : b,X6 : b] : (((X2 @ X4 @ X5 @ X6) & (X2 @ X4 @ X7 @ X5)) => (X2 @ X4 @ X7 @ X6)) & ((X2 @ X4) = (X3 @ X4)) & ! [X5 : b,X7 : b] : ((X2 @ X4 @ X7 @ X5) => (X2 @ X4 @ X5 @ X7)))) => (! [X4 : a > b,X5 : a > b] : (! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X5 @ X8))) => ! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X5 @ X7) @ (X4 @ X8)))) & ((^[X9 : a > b, X10 : a > b] : (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X2 @ X4 @ (X9 @ X4) @ (X10 @ X5))))) = (^[X9 : a > b, X10 : a > b] : (! [X5 : a,X4 : a] : ((X1 @ X4 @ X5) => (X3 @ X4 @ (X9 @ X4) @ (X10 @ X5)))))) & ! [X4 : a > b,X5 : a > b,X6 : a > b] : ((! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X5 @ X8))) & ! [X8 : a,X7 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X5 @ X7) @ (X6 @ X8)))) => ! [X8 : a,X7 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X6 @ X8))))))))),
% 138.23/21.16 inference(negated_conjecture,[status(cth)],[f1])).
% 138.23/21.16 thf(f1,conjecture,(
% 138.23/21.16 ! [X2 : a > b > b > $o,X1 : a > a > $o,X3 : a > b > b > $o,X0 : a > a > $o] : ((! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) => (X0 @ X5 @ X4)) & (X0 = X1) & ! [X5 : a,X6 : a,X4 : a] : (((X0 @ X4 @ X5) & (X0 @ X5 @ X6)) => (X0 @ X4 @ X6))) => (! [X4 : a,X5 : a] : ((X0 @ X4 @ X5) => (((X2 @ X4) = (X2 @ X5)) & ! [X6 : b,X7 : b,X8 : b] : (((X2 @ X4 @ X7 @ X8) & (X2 @ X4 @ X8 @ X6)) => (X2 @ X4 @ X7 @ X6)) & ! [X8 : b,X7 : b] : ((X2 @ X4 @ X7 @ X8) => (X2 @ X4 @ X8 @ X7)))) => (! [X4 : a] : ((X0 @ X4 @ X4) => (! [X7 : b,X5 : b,X6 : b] : (((X2 @ X4 @ X5 @ X6) & (X2 @ X4 @ X7 @ X5)) => (X2 @ X4 @ X7 @ X6)) & ((X2 @ X4) = (X3 @ X4)) & ! [X5 : b,X7 : b] : ((X2 @ X4 @ X7 @ X5) => (X2 @ X4 @ X5 @ X7)))) => (! [X4 : a > b,X5 : a > b] : (! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X5 @ X8))) => ! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X5 @ X7) @ (X4 @ X8)))) & ((^[X9 : a > b, X10 : a > b] : (! [X5 : a,X4 : a] : ((X0 @ X4 @ X5) => (X2 @ X4 @ (X9 @ X4) @ (X10 @ X5))))) = (^[X9 : a > b, X10 : a > b] : (! [X5 : a,X4 : a] : ((X1 @ X4 @ X5) => (X3 @ X4 @ (X9 @ X4) @ (X10 @ X5)))))) & ! [X4 : a > b,X5 : a > b,X6 : a > b] : ((! [X7 : a,X8 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X5 @ X8))) & ! [X8 : a,X7 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X5 @ X7) @ (X6 @ X8)))) => ! [X8 : a,X7 : a] : ((X0 @ X7 @ X8) => (X2 @ X7 @ (X4 @ X7) @ (X6 @ X8))))))))),
% 138.23/21.16 file('/export/starexec/sandbox/tmp/tmp.F6nncC3dEj/DTF2THF_14609.p',cTHM517_pme)).
% 138.23/21.16 thf(f23,plain,(
% 138.23/21.16 ( ! [X21 : a,X22 : a] : (((sK0 @ X21) = (sK0 @ X22)) | ($true != (sK3 @ X21 @ X22))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f68,plain,(
% 138.23/21.16 ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12))) | spl13_3),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f66])).
% 138.23/21.16 thf(f66,definition,(
% 138.23/21.16 spl13_3 <=> ($true = (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_3])],[avatar_definition])).
% 138.23/21.16 thf(f2508,plain,(
% 138.23/21.16 ($true = (sK0 @ sK11 @ (sK9 @ sK12) @ (sK10 @ sK11))) | (~spl13_4 | ~spl13_6)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f2504])).
% 138.23/21.16 thf(f2504,plain,(
% 138.23/21.16 ($true = $false) | ($true = (sK0 @ sK11 @ (sK9 @ sK12) @ (sK10 @ sK11))) | (~spl13_4 | ~spl13_6)),
% 138.23/21.16 inference(superposition,[status(thm)],[f203,f2501])).
% 138.23/21.16 thf(f2501,plain,(
% 138.23/21.16 ($true = (sK0 @ sK12 @ (sK9 @ sK12) @ (sK10 @ sK11))) | (~spl13_4 | ~spl13_6)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f2495])).
% 138.23/21.16 thf(f2495,plain,(
% 138.23/21.16 ($true = (sK0 @ sK12 @ (sK9 @ sK12) @ (sK10 @ sK11))) | ($true != $true) | (~spl13_4 | ~spl13_6)),
% 138.23/21.16 inference(superposition,[status(thm)],[f80,f173])).
% 138.23/21.16 thf(f173,plain,(
% 138.23/21.16 ((sK1 @ sK12 @ sK11) = $true) | ~spl13_4),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f170])).
% 138.23/21.16 thf(f170,plain,(
% 138.23/21.16 ((sK1 @ sK12 @ sK11) = $true) | ($true != $true) | ~spl13_4),
% 138.23/21.16 inference(superposition,[status(thm)],[f50,f73])).
% 138.23/21.16 thf(f50,plain,(
% 138.23/21.16 ( ! [X19 : a,X20 : a] : (($true != (sK1 @ X19 @ X20)) | ($true = (sK1 @ X20 @ X19))) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f24,f37,f37])).
% 138.23/21.16 thf(f24,plain,(
% 138.23/21.16 ( ! [X19 : a,X20 : a] : (($true != (sK3 @ X19 @ X20)) | ($true = (sK3 @ X20 @ X19))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f80,plain,(
% 138.23/21.16 ( ! [X16 : a,X15 : a] : (($true != (sK1 @ X15 @ X16)) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16)))) ) | ~spl13_6),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f79])).
% 138.23/21.16 thf(f79,definition,(
% 138.23/21.16 spl13_6 <=> ! [X16 : a,X15 : a] : (($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ($true != (sK1 @ X15 @ X16)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_6])],[avatar_definition])).
% 138.23/21.16 thf(f2421,plain,(
% 138.23/21.16 spl13_68 | spl13_7 | ~spl13_83 | ~spl13_108),
% 138.23/21.16 inference(avatar_split_clause,[status(thm)],[f2420,f1337,f1124,f85,f1017])).
% 138.23/21.16 thf(f1017,definition,(
% 138.23/21.16 spl13_68 <=> ! [X1 : a] : ($true != (sK1 @ sK8 @ X1))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_68])],[avatar_definition])).
% 138.23/21.16 thf(f85,definition,(
% 138.23/21.16 spl13_7 <=> ($true = (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_7])],[avatar_definition])).
% 138.23/21.16 thf(f1124,definition,(
% 138.23/21.16 spl13_83 <=> ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK4 @ sK8)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_83])],[avatar_definition])).
% 138.23/21.16 thf(f1337,definition,(
% 138.23/21.16 spl13_108 <=> ! [X0 : b] : (($true = (sK0 @ sK8 @ (sK6 @ sK7) @ X0)) | ($true != (sK0 @ sK8 @ (sK5 @ sK8) @ X0)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_108])],[avatar_definition])).
% 138.23/21.16 thf(f2420,plain,(
% 138.23/21.16 ( ! [X0 : a] : (((sK1 @ sK8 @ X0) != $true)) ) | (spl13_7 | ~spl13_83 | ~spl13_108)),
% 138.23/21.16 inference(subsumption_resolution,[status(thm)],[f2418,f87])).
% 138.23/21.16 thf(f87,plain,(
% 138.23/21.16 ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | spl13_7),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f85])).
% 138.23/21.16 thf(f2418,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true = (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ((sK1 @ sK8 @ X0) != $true)) ) | (~spl13_83 | ~spl13_108)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f2416])).
% 138.23/21.16 thf(f2416,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != $true) | ((sK1 @ sK8 @ X0) != $true) | ($true = (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7)))) ) | (~spl13_83 | ~spl13_108)),
% 138.23/21.16 inference(superposition,[status(thm)],[f52,f2292])).
% 138.23/21.16 thf(f2292,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK4 @ sK8))) | (~spl13_83 | ~spl13_108)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f2279])).
% 138.23/21.16 thf(f2279,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK4 @ sK8))) | ($true != $true) | (~spl13_83 | ~spl13_108)),
% 138.23/21.16 inference(superposition,[status(thm)],[f1338,f1126])).
% 138.23/21.16 thf(f1126,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK4 @ sK8))) | ~spl13_83),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f1124])).
% 138.23/21.16 thf(f1338,plain,(
% 138.23/21.16 ( ! [X0 : b] : (($true != (sK0 @ sK8 @ (sK5 @ sK8) @ X0)) | ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ X0))) ) | ~spl13_108),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f1337])).
% 138.23/21.16 thf(f52,plain,(
% 138.23/21.16 ( ! [X21 : a,X24 : b,X22 : a,X23 : b] : (($true != (sK0 @ X21 @ X24 @ X23)) | ($true = (sK0 @ X21 @ X23 @ X24)) | ((sK1 @ X21 @ X22) != $true)) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f22,f37])).
% 138.23/21.16 thf(f22,plain,(
% 138.23/21.16 ( ! [X21 : a,X24 : b,X22 : a,X23 : b] : (($true = (sK0 @ X21 @ X23 @ X24)) | ($true != (sK0 @ X21 @ X24 @ X23)) | ($true != (sK3 @ X21 @ X22))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f1339,plain,(
% 138.23/21.16 spl13_108 | spl13_68 | ~spl13_101),
% 138.23/21.16 inference(avatar_split_clause,[status(thm)],[f1335,f1286,f1017,f1337])).
% 138.23/21.16 thf(f1286,definition,(
% 138.23/21.16 spl13_101 <=> ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK5 @ sK8)))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_101])],[avatar_definition])).
% 138.23/21.16 thf(f1335,plain,(
% 138.23/21.16 ( ! [X0 : b,X1 : a] : (($true = (sK0 @ sK8 @ (sK6 @ sK7) @ X0)) | ($true != (sK1 @ sK8 @ X1)) | ($true != (sK0 @ sK8 @ (sK5 @ sK8) @ X0))) ) | ~spl13_101),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f1332])).
% 138.23/21.16 thf(f1332,plain,(
% 138.23/21.16 ( ! [X0 : b,X1 : a] : (($true != $true) | ($true != (sK0 @ sK8 @ (sK5 @ sK8) @ X0)) | ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ X0)) | ($true != (sK1 @ sK8 @ X1))) ) | ~spl13_101),
% 138.23/21.16 inference(superposition,[status(thm)],[f53,f1288])).
% 138.23/21.16 thf(f1288,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK5 @ sK8))) | ~spl13_101),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f1286])).
% 138.23/21.16 thf(f53,plain,(
% 138.23/21.16 ( ! [X21 : a,X26 : b,X27 : b,X22 : a,X25 : b] : (($true != (sK0 @ X21 @ X26 @ X27)) | ((sK0 @ X21 @ X27 @ X25) != $true) | ((sK1 @ X21 @ X22) != $true) | ($true = (sK0 @ X21 @ X26 @ X25))) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f21,f37])).
% 138.23/21.16 thf(f21,plain,(
% 138.23/21.16 ( ! [X21 : a,X26 : b,X27 : b,X22 : a,X25 : b] : (((sK0 @ X21 @ X27 @ X25) != $true) | ($true != (sK0 @ X21 @ X26 @ X27)) | ($true = (sK0 @ X21 @ X26 @ X25)) | ($true != (sK3 @ X21 @ X22))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f1289,plain,(
% 138.23/21.16 spl13_68 | spl13_101 | ~spl13_5 | ~spl13_8),
% 138.23/21.16 inference(avatar_split_clause,[status(thm)],[f1284,f90,f75,f1286,f1017])).
% 138.23/21.16 thf(f75,definition,(
% 138.23/21.16 spl13_5 <=> ! [X12 : a,X11 : a] : (($true != (sK1 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_5])],[avatar_definition])).
% 138.23/21.16 thf(f90,definition,(
% 138.23/21.16 spl13_8 <=> ((sK1 @ sK8 @ sK7) = $true)),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_8])],[avatar_definition])).
% 138.23/21.16 thf(f1284,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK5 @ sK8))) | ((sK1 @ sK8 @ X0) != $true)) ) | (~spl13_5 | ~spl13_8)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f1282])).
% 138.23/21.16 thf(f1282,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != $true) | ($true = (sK0 @ sK8 @ (sK6 @ sK7) @ (sK5 @ sK8))) | ((sK1 @ sK8 @ X0) != $true)) ) | (~spl13_5 | ~spl13_8)),
% 138.23/21.16 inference(superposition,[status(thm)],[f52,f1261])).
% 138.23/21.16 thf(f1261,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK6 @ sK7))) | (~spl13_5 | ~spl13_8)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f1253])).
% 138.23/21.16 thf(f1253,plain,(
% 138.23/21.16 ($true != $true) | ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK6 @ sK7))) | (~spl13_5 | ~spl13_8)),
% 138.23/21.16 inference(superposition,[status(thm)],[f76,f92])).
% 138.23/21.16 thf(f92,plain,(
% 138.23/21.16 ((sK1 @ sK8 @ sK7) = $true) | ~spl13_8),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f90])).
% 138.23/21.16 thf(f76,plain,(
% 138.23/21.16 ( ! [X11 : a,X12 : a] : (($true != (sK1 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true)) ) | ~spl13_5),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f75])).
% 138.23/21.16 thf(f1127,plain,(
% 138.23/21.16 spl13_83 | spl13_68 | ~spl13_2 | ~spl13_8),
% 138.23/21.16 inference(avatar_split_clause,[status(thm)],[f1117,f90,f63,f1017,f1124])).
% 138.23/21.16 thf(f63,definition,(
% 138.23/21.16 spl13_2 <=> ! [X9 : a,X10 : a] : (($true != (sK1 @ X9 @ X10)) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_2])],[avatar_definition])).
% 138.23/21.16 thf(f1117,plain,(
% 138.23/21.16 ( ! [X0 : a] : (((sK1 @ sK8 @ X0) != $true) | ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK4 @ sK8)))) ) | (~spl13_2 | ~spl13_8)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f1116])).
% 138.23/21.16 thf(f1116,plain,(
% 138.23/21.16 ( ! [X0 : a] : (((sK1 @ sK8 @ X0) != $true) | ($true != $true) | ($true = (sK0 @ sK8 @ (sK5 @ sK8) @ (sK4 @ sK8)))) ) | (~spl13_2 | ~spl13_8)),
% 138.23/21.16 inference(superposition,[status(thm)],[f52,f1009])).
% 138.23/21.16 thf(f1009,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK4 @ sK8) @ (sK5 @ sK8))) | (~spl13_2 | ~spl13_8)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f998])).
% 138.23/21.16 thf(f998,plain,(
% 138.23/21.16 ($true = (sK0 @ sK8 @ (sK4 @ sK8) @ (sK5 @ sK8))) | ($true != $true) | (~spl13_2 | ~spl13_8)),
% 138.23/21.16 inference(superposition,[status(thm)],[f64,f965])).
% 138.23/21.16 thf(f965,plain,(
% 138.23/21.16 ($true = (sK1 @ sK8 @ sK8)) | ~spl13_8),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f964])).
% 138.23/21.16 thf(f964,plain,(
% 138.23/21.16 ($true = (sK1 @ sK8 @ sK8)) | ($true != $true) | ~spl13_8),
% 138.23/21.16 inference(superposition,[status(thm)],[f957,f956])).
% 138.23/21.16 thf(f956,plain,(
% 138.23/21.16 ($true = (sK1 @ sK7 @ sK8)) | ~spl13_8),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f954])).
% 138.23/21.16 thf(f954,plain,(
% 138.23/21.16 ($true = (sK1 @ sK7 @ sK8)) | ($true != $true) | ~spl13_8),
% 138.23/21.16 inference(superposition,[status(thm)],[f50,f92])).
% 138.23/21.16 thf(f957,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != (sK1 @ sK7 @ X0)) | ((sK1 @ sK8 @ X0) = $true)) ) | ~spl13_8),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f953])).
% 138.23/21.16 thf(f953,plain,(
% 138.23/21.16 ( ! [X0 : a] : (((sK1 @ sK8 @ X0) = $true) | ($true != (sK1 @ sK7 @ X0)) | ($true != $true)) ) | ~spl13_8),
% 138.23/21.16 inference(superposition,[status(thm)],[f57,f92])).
% 138.23/21.16 thf(f57,plain,(
% 138.23/21.16 ( ! [X36 : a,X34 : a,X35 : a] : (($true != (sK1 @ X36 @ X34)) | ($true = (sK1 @ X36 @ X35)) | ($true != (sK1 @ X34 @ X35))) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f17,f37,f37,f37])).
% 138.23/21.16 thf(f17,plain,(
% 138.23/21.16 ( ! [X36 : a,X34 : a,X35 : a] : (((sK3 @ X34 @ X35) != $true) | ($true = (sK3 @ X36 @ X35)) | ($true != (sK3 @ X36 @ X34))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f64,plain,(
% 138.23/21.16 ( ! [X10 : a,X9 : a] : (($true != (sK1 @ X9 @ X10)) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10)))) ) | ~spl13_2),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f63])).
% 138.23/21.16 thf(f1033,plain,(
% 138.23/21.16 ~spl13_8 | ~spl13_68),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f1032])).
% 138.23/21.16 thf(f1032,plain,(
% 138.23/21.16 $false | (~spl13_8 | ~spl13_68)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f1029])).
% 138.23/21.16 thf(f1029,plain,(
% 138.23/21.16 ($true != $true) | (~spl13_8 | ~spl13_68)),
% 138.23/21.16 inference(superposition,[status(thm)],[f1018,f965])).
% 138.23/21.16 thf(f1018,plain,(
% 138.23/21.16 ( ! [X1 : a] : (($true != (sK1 @ sK8 @ X1))) ) | ~spl13_68),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f1017])).
% 138.23/21.16 thf(f943,plain,(
% 138.23/21.16 ~spl13_10 | ~spl13_15 | ~spl13_16),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f942])).
% 138.23/21.16 thf(f942,plain,(
% 138.23/21.16 $false | (~spl13_10 | ~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f941])).
% 138.23/21.16 thf(f941,plain,(
% 138.23/21.16 ($true = $false) | (~spl13_10 | ~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(backward_demodulation,[status(thm)],[f166,f940])).
% 138.23/21.16 thf(f940,plain,(
% 138.23/21.16 ((sK1 @ sK19 @ sK20) = $false) | (~spl13_10 | ~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f935])).
% 138.23/21.16 thf(f935,plain,(
% 138.23/21.16 ((sK1 @ sK19 @ sK20) = $false) | ($true = $false) | (~spl13_10 | ~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(superposition,[status(thm)],[f138,f895])).
% 138.23/21.16 thf(f895,plain,(
% 138.23/21.16 ((sK2 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20)) = $false) | (~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f890])).
% 138.23/21.16 thf(f890,plain,(
% 138.23/21.16 ($true = $false) | ((sK2 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20)) = $false) | (~spl13_15 | ~spl13_16)),
% 138.23/21.16 inference(superposition,[status(thm)],[f275,f161])).
% 138.23/21.16 thf(f161,plain,(
% 138.23/21.16 ((sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20)) = $false) | ~spl13_15),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f159])).
% 138.23/21.16 thf(f159,definition,(
% 138.23/21.16 spl13_15 <=> ((sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20)) = $false)),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_15])],[avatar_definition])).
% 138.23/21.16 thf(f275,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (($true = (sK0 @ sK19 @ X1 @ X2)) | ((sK2 @ sK19 @ X1 @ X2) = $false)) ) | ~spl13_16),
% 138.23/21.16 inference(binary_proxy_clausification,[status(thm)],[f274])).
% 138.23/21.16 thf(f274,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (((sK0 @ sK19 @ X1 @ X2) = (sK2 @ sK19 @ X1 @ X2))) ) | ~spl13_16),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f267])).
% 138.23/21.16 thf(f267,plain,(
% 138.23/21.16 ( ! [X1 : b] : (((sK2 @ sK19 @ X1) = (sK0 @ sK19 @ X1))) ) | ~spl13_16),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f253])).
% 138.23/21.16 thf(f253,plain,(
% 138.23/21.16 ((sK2 @ sK19) = (sK0 @ sK19)) | ~spl13_16),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f252])).
% 138.23/21.16 thf(f252,plain,(
% 138.23/21.16 ($true != $true) | ((sK2 @ sK19) = (sK0 @ sK19)) | ~spl13_16),
% 138.23/21.16 inference(superposition,[status(thm)],[f54,f248])).
% 138.23/21.16 thf(f248,plain,(
% 138.23/21.16 ($true = (sK1 @ sK19 @ sK19)) | ~spl13_16),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f247])).
% 138.23/21.16 thf(f247,plain,(
% 138.23/21.16 ($true != $true) | ($true = (sK1 @ sK19 @ sK19)) | ~spl13_16),
% 138.23/21.16 inference(superposition,[status(thm)],[f240,f239])).
% 138.23/21.16 thf(f239,plain,(
% 138.23/21.16 ($true = (sK1 @ sK20 @ sK19)) | ~spl13_16),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f237])).
% 138.23/21.16 thf(f237,plain,(
% 138.23/21.16 ($true = (sK1 @ sK20 @ sK19)) | ($true != $true) | ~spl13_16),
% 138.23/21.16 inference(superposition,[status(thm)],[f50,f166])).
% 138.23/21.16 thf(f240,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != (sK1 @ sK20 @ X0)) | ($true = (sK1 @ sK19 @ X0))) ) | ~spl13_16),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f236])).
% 138.23/21.16 thf(f236,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != $true) | ($true = (sK1 @ sK19 @ X0)) | ($true != (sK1 @ sK20 @ X0))) ) | ~spl13_16),
% 138.23/21.16 inference(superposition,[status(thm)],[f57,f166])).
% 138.23/21.16 thf(f54,plain,(
% 138.23/21.16 ( ! [X28 : a] : (($true != (sK1 @ X28 @ X28)) | ((sK0 @ X28) = (sK2 @ X28))) )),
% 138.23/21.16 inference(definition_unfolding,[status(thm)],[f20,f37])).
% 138.23/21.16 thf(f20,plain,(
% 138.23/21.16 ( ! [X28 : a] : (((sK0 @ X28) = (sK2 @ X28)) | ($true != (sK3 @ X28 @ X28))) )),
% 138.23/21.16 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.16 thf(f138,plain,(
% 138.23/21.16 ( ! [X2 : a,X4 : a] : (($true = (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ X4))) | ((sK1 @ X2 @ X4) = $false)) ) | ~spl13_10),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f137])).
% 138.23/21.16 thf(f137,definition,(
% 138.23/21.16 spl13_10 <=> ! [X4 : a,X2 : a] : (((sK1 @ X2 @ X4) = $false) | ($true = (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ X4))))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_10])],[avatar_definition])).
% 138.23/21.16 thf(f166,plain,(
% 138.23/21.16 ($true = (sK1 @ sK19 @ sK20)) | ~spl13_16),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f164])).
% 138.23/21.16 thf(f164,definition,(
% 138.23/21.16 spl13_16 <=> ($true = (sK1 @ sK19 @ sK20))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_16])],[avatar_definition])).
% 138.23/21.16 thf(f863,plain,(
% 138.23/21.16 ~spl13_10 | ~spl13_12 | ~spl13_14),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f862])).
% 138.23/21.16 thf(f862,plain,(
% 138.23/21.16 $false | (~spl13_10 | ~spl13_12 | ~spl13_14)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f861])).
% 138.23/21.16 thf(f861,plain,(
% 138.23/21.16 ($true = $false) | (~spl13_10 | ~spl13_12 | ~spl13_14)),
% 138.23/21.16 inference(backward_demodulation,[status(thm)],[f157,f858])).
% 138.23/21.16 thf(f858,plain,(
% 138.23/21.16 ((sK1 @ sK17 @ sK18) = $false) | (~spl13_10 | ~spl13_12)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f855])).
% 138.23/21.16 thf(f855,plain,(
% 138.23/21.16 ($true = $false) | ((sK1 @ sK17 @ sK18) = $false) | (~spl13_10 | ~spl13_12)),
% 138.23/21.16 inference(superposition,[status(thm)],[f138,f147])).
% 138.23/21.16 thf(f147,plain,(
% 138.23/21.16 ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | ~spl13_12),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f145])).
% 138.23/21.16 thf(f145,definition,(
% 138.23/21.16 spl13_12 <=> ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false)),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_12])],[avatar_definition])).
% 138.23/21.16 thf(f157,plain,(
% 138.23/21.16 ($true = (sK1 @ sK17 @ sK18)) | ~spl13_14),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f155])).
% 138.23/21.16 thf(f155,definition,(
% 138.23/21.16 spl13_14 <=> ($true = (sK1 @ sK17 @ sK18))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_14])],[avatar_definition])).
% 138.23/21.16 thf(f841,plain,(
% 138.23/21.16 ~spl13_10 | ~spl13_11 | ~spl13_13),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f840])).
% 138.23/21.16 thf(f840,plain,(
% 138.23/21.16 $false | (~spl13_10 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f839])).
% 138.23/21.16 thf(f839,plain,(
% 138.23/21.16 ($true = $false) | (~spl13_10 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(backward_demodulation,[status(thm)],[f152,f838])).
% 138.23/21.16 thf(f838,plain,(
% 138.23/21.16 ((sK1 @ sK21 @ sK22) = $false) | (~spl13_10 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f835])).
% 138.23/21.16 thf(f835,plain,(
% 138.23/21.16 ((sK1 @ sK21 @ sK22) = $false) | ($true = $false) | (~spl13_10 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(superposition,[status(thm)],[f819,f138])).
% 138.23/21.16 thf(f819,plain,(
% 138.23/21.16 ((sK2 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22)) = $false) | (~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f813])).
% 138.23/21.16 thf(f813,plain,(
% 138.23/21.16 ($true = $false) | ((sK2 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22)) = $false) | (~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(superposition,[status(thm)],[f143,f674])).
% 138.23/21.16 thf(f674,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (($true = (sK0 @ sK21 @ X1 @ X2)) | ((sK2 @ sK21 @ X1 @ X2) = $false)) ) | ~spl13_13),
% 138.23/21.16 inference(binary_proxy_clausification,[status(thm)],[f673])).
% 138.23/21.16 thf(f673,plain,(
% 138.23/21.16 ( ! [X2 : b,X1 : b] : (((sK0 @ sK21 @ X1 @ X2) = (sK2 @ sK21 @ X1 @ X2))) ) | ~spl13_13),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f646])).
% 138.23/21.16 thf(f646,plain,(
% 138.23/21.16 ( ! [X1 : b] : (((sK0 @ sK21 @ X1) = (sK2 @ sK21 @ X1))) ) | ~spl13_13),
% 138.23/21.16 inference(argument_congruence,[status(thm)],[f632])).
% 138.23/21.16 thf(f632,plain,(
% 138.23/21.16 ((sK0 @ sK21) = (sK2 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f631])).
% 138.23/21.16 thf(f631,plain,(
% 138.23/21.16 ($true != $true) | ((sK0 @ sK21) = (sK2 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(superposition,[status(thm)],[f54,f627])).
% 138.23/21.16 thf(f627,plain,(
% 138.23/21.16 ($true = (sK1 @ sK21 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f626])).
% 138.23/21.16 thf(f626,plain,(
% 138.23/21.16 ($true != $true) | ($true = (sK1 @ sK21 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(superposition,[status(thm)],[f610,f611])).
% 138.23/21.16 thf(f611,plain,(
% 138.23/21.16 ($true = (sK1 @ sK22 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f608])).
% 138.23/21.16 thf(f608,plain,(
% 138.23/21.16 ($true != $true) | ($true = (sK1 @ sK22 @ sK21)) | ~spl13_13),
% 138.23/21.16 inference(superposition,[status(thm)],[f50,f152])).
% 138.23/21.16 thf(f610,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != (sK1 @ sK22 @ X0)) | ($true = (sK1 @ sK21 @ X0))) ) | ~spl13_13),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f607])).
% 138.23/21.16 thf(f607,plain,(
% 138.23/21.16 ( ! [X0 : a] : (($true != $true) | ($true = (sK1 @ sK21 @ X0)) | ($true != (sK1 @ sK22 @ X0))) ) | ~spl13_13),
% 138.23/21.16 inference(superposition,[status(thm)],[f57,f152])).
% 138.23/21.16 thf(f143,plain,(
% 138.23/21.16 ((sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22)) = $false) | ~spl13_11),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f141])).
% 138.23/21.16 thf(f141,definition,(
% 138.23/21.16 spl13_11 <=> ((sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22)) = $false)),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_11])],[avatar_definition])).
% 138.23/21.16 thf(f152,plain,(
% 138.23/21.16 ($true = (sK1 @ sK21 @ sK22)) | ~spl13_13),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f150])).
% 138.23/21.16 thf(f150,definition,(
% 138.23/21.16 spl13_13 <=> ($true = (sK1 @ sK21 @ sK22))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_13])],[avatar_definition])).
% 138.23/21.16 thf(f656,plain,(
% 138.23/21.16 ~spl13_9 | ~spl13_11 | ~spl13_13),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f655])).
% 138.23/21.16 thf(f655,plain,(
% 138.23/21.16 $false | (~spl13_9 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f654])).
% 138.23/21.16 thf(f654,plain,(
% 138.23/21.16 ($true = $false) | (~spl13_9 | ~spl13_11 | ~spl13_13)),
% 138.23/21.16 inference(backward_demodulation,[status(thm)],[f152,f653])).
% 138.23/21.16 thf(f653,plain,(
% 138.23/21.16 ((sK1 @ sK21 @ sK22) = $false) | (~spl13_9 | ~spl13_11)),
% 138.23/21.16 inference(trivial_inequality_removal,[status(thm)],[f649])).
% 138.23/21.16 thf(f649,plain,(
% 138.23/21.16 ($true = $false) | ((sK1 @ sK21 @ sK22) = $false) | (~spl13_9 | ~spl13_11)),
% 138.23/21.16 inference(superposition,[status(thm)],[f135,f143])).
% 138.23/21.16 thf(f135,plain,(
% 138.23/21.16 ( ! [X3 : a,X1 : a] : (($true = (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) | ((sK1 @ X1 @ X3) = $false)) ) | ~spl13_9),
% 138.23/21.16 inference(avatar_component_clause,[status(thm)],[f134])).
% 138.23/21.16 thf(f134,definition,(
% 138.23/21.16 spl13_9 <=> ! [X1 : a,X3 : a] : (((sK1 @ X1 @ X3) = $false) | ($true = (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))))),
% 138.23/21.16 introduced(definition,[new_symbols(naming,[spl13_9])],[avatar_definition])).
% 138.23/21.16 thf(f605,plain,(
% 138.23/21.16 ~spl13_9 | ~spl13_12 | ~spl13_14),
% 138.23/21.16 inference(avatar_contradiction_clause,[status(thm)],[f604])).
% 138.23/21.16 thf(f604,plain,(
% 138.23/21.17 $false | (~spl13_9 | ~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f603])).
% 138.23/21.17 thf(f603,plain,(
% 138.23/21.17 ($true = $false) | (~spl13_9 | ~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(backward_demodulation,[status(thm)],[f157,f598])).
% 138.23/21.17 thf(f598,plain,(
% 138.23/21.17 ((sK1 @ sK17 @ sK18) = $false) | (~spl13_9 | ~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f589])).
% 138.23/21.17 thf(f589,plain,(
% 138.23/21.17 ((sK1 @ sK17 @ sK18) = $false) | ($true = $false) | (~spl13_9 | ~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(superposition,[status(thm)],[f135,f584])).
% 138.23/21.17 thf(f584,plain,(
% 138.23/21.17 ((sK0 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | (~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f582])).
% 138.23/21.17 thf(f582,plain,(
% 138.23/21.17 ($true = $false) | ((sK0 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | (~spl13_12 | ~spl13_14)),
% 138.23/21.17 inference(superposition,[status(thm)],[f147,f339])).
% 138.23/21.17 thf(f339,plain,(
% 138.23/21.17 ( ! [X2 : b,X1 : b] : (($true = (sK2 @ sK17 @ X1 @ X2)) | ((sK0 @ sK17 @ X1 @ X2) = $false)) ) | ~spl13_14),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f337])).
% 138.23/21.17 thf(f337,plain,(
% 138.23/21.17 ( ! [X2 : b,X1 : b] : (((sK0 @ sK17 @ X1 @ X2) = (sK2 @ sK17 @ X1 @ X2))) ) | ~spl13_14),
% 138.23/21.17 inference(argument_congruence,[status(thm)],[f331])).
% 138.23/21.17 thf(f331,plain,(
% 138.23/21.17 ( ! [X1 : b] : (((sK0 @ sK17 @ X1) = (sK2 @ sK17 @ X1))) ) | ~spl13_14),
% 138.23/21.17 inference(argument_congruence,[status(thm)],[f317])).
% 138.23/21.17 thf(f317,plain,(
% 138.23/21.17 ((sK2 @ sK17) = (sK0 @ sK17)) | ~spl13_14),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f316])).
% 138.23/21.17 thf(f316,plain,(
% 138.23/21.17 ((sK2 @ sK17) = (sK0 @ sK17)) | ($true != $true) | ~spl13_14),
% 138.23/21.17 inference(superposition,[status(thm)],[f54,f312])).
% 138.23/21.17 thf(f312,plain,(
% 138.23/21.17 ($true = (sK1 @ sK17 @ sK17)) | ~spl13_14),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f311])).
% 138.23/21.17 thf(f311,plain,(
% 138.23/21.17 ($true != $true) | ($true = (sK1 @ sK17 @ sK17)) | ~spl13_14),
% 138.23/21.17 inference(superposition,[status(thm)],[f295,f294])).
% 138.23/21.17 thf(f294,plain,(
% 138.23/21.17 ($true = (sK1 @ sK18 @ sK17)) | ~spl13_14),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f293])).
% 138.23/21.17 thf(f293,plain,(
% 138.23/21.17 ($true = (sK1 @ sK18 @ sK17)) | ($true != $true) | ~spl13_14),
% 138.23/21.17 inference(superposition,[status(thm)],[f50,f157])).
% 138.23/21.17 thf(f295,plain,(
% 138.23/21.17 ( ! [X0 : a] : (($true != (sK1 @ sK18 @ X0)) | ($true = (sK1 @ sK17 @ X0))) ) | ~spl13_14),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f292])).
% 138.23/21.17 thf(f292,plain,(
% 138.23/21.17 ( ! [X0 : a] : (($true != (sK1 @ sK18 @ X0)) | ($true != $true) | ($true = (sK1 @ sK17 @ X0))) ) | ~spl13_14),
% 138.23/21.17 inference(superposition,[status(thm)],[f57,f157])).
% 138.23/21.17 thf(f397,plain,(
% 138.23/21.17 ~spl13_4 | ~spl13_21),
% 138.23/21.17 inference(avatar_contradiction_clause,[status(thm)],[f396])).
% 138.23/21.17 thf(f396,plain,(
% 138.23/21.17 $false | (~spl13_4 | ~spl13_21)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f392])).
% 138.23/21.17 thf(f392,plain,(
% 138.23/21.17 ($true != $true) | (~spl13_4 | ~spl13_21)),
% 138.23/21.17 inference(superposition,[status(thm)],[f362,f173])).
% 138.23/21.17 thf(f362,plain,(
% 138.23/21.17 ( ! [X3 : a] : (($true != (sK1 @ sK12 @ X3))) ) | ~spl13_21),
% 138.23/21.17 inference(avatar_component_clause,[status(thm)],[f361])).
% 138.23/21.17 thf(f361,definition,(
% 138.23/21.17 spl13_21 <=> ! [X3 : a] : ($true != (sK1 @ sK12 @ X3))),
% 138.23/21.17 introduced(definition,[new_symbols(naming,[spl13_21])],[avatar_definition])).
% 138.23/21.17 thf(f367,plain,(
% 138.23/21.17 spl13_22 | spl13_21 | ~spl13_4),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f354,f71,f361,f365])).
% 138.23/21.17 thf(f354,plain,(
% 138.23/21.17 ( ! [X2 : a,X0 : b,X1 : b] : (((sK0 @ sK11 @ X0 @ X1) = $false) | ($true != (sK1 @ sK12 @ X2)) | ($true = (sK0 @ sK12 @ X1 @ X0))) ) | ~spl13_4),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f351])).
% 138.23/21.17 thf(f351,plain,(
% 138.23/21.17 ( ! [X2 : a,X0 : b,X1 : b] : (($true = (sK0 @ sK12 @ X1 @ X0)) | ($true != $true) | ((sK0 @ sK11 @ X0 @ X1) = $false) | ($true != (sK1 @ sK12 @ X2))) ) | ~spl13_4),
% 138.23/21.17 inference(superposition,[status(thm)],[f52,f204])).
% 138.23/21.17 thf(f204,plain,(
% 138.23/21.17 ( ! [X2 : b,X1 : b] : (($true = (sK0 @ sK12 @ X1 @ X2)) | ((sK0 @ sK11 @ X1 @ X2) = $false)) ) | ~spl13_4),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f202])).
% 138.23/21.17 thf(f290,plain,(
% 138.23/21.17 ~spl13_9 | ~spl13_15 | ~spl13_16),
% 138.23/21.17 inference(avatar_contradiction_clause,[status(thm)],[f289])).
% 138.23/21.17 thf(f289,plain,(
% 138.23/21.17 $false | (~spl13_9 | ~spl13_15 | ~spl13_16)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f288])).
% 138.23/21.17 thf(f288,plain,(
% 138.23/21.17 ($true = $false) | (~spl13_9 | ~spl13_15 | ~spl13_16)),
% 138.23/21.17 inference(backward_demodulation,[status(thm)],[f166,f287])).
% 138.23/21.17 thf(f287,plain,(
% 138.23/21.17 ((sK1 @ sK19 @ sK20) = $false) | (~spl13_9 | ~spl13_15)),
% 138.23/21.17 inference(trivial_inequality_removal,[status(thm)],[f280])).
% 138.23/21.17 thf(f280,plain,(
% 138.23/21.17 ((sK1 @ sK19 @ sK20) = $false) | ($true = $false) | (~spl13_9 | ~spl13_15)),
% 138.23/21.17 inference(superposition,[status(thm)],[f135,f161])).
% 138.23/21.17 thf(f167,plain,(
% 138.23/21.17 spl13_16 | spl13_14 | spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f116,f59,f155,f164])).
% 138.23/21.17 thf(f59,definition,(
% 138.23/21.17 spl13_1 <=> ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) = (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))),
% 138.23/21.17 introduced(definition,[new_symbols(naming,[spl13_1])],[avatar_definition])).
% 138.23/21.17 thf(f116,plain,(
% 138.23/21.17 ($true = (sK1 @ sK19 @ sK20)) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f114])).
% 138.23/21.17 thf(f114,plain,(
% 138.23/21.17 ($true = (sK1 @ sK17 @ sK18)) | (((sK1 @ sK19 @ sK20) => (sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20))) = $false) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f113])).
% 138.23/21.17 thf(f113,plain,(
% 138.23/21.17 (((^[Y0 : a]: ((sK1 @ sK19 @ Y0) => (sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ Y0)))) @ sK20) = $false) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f112])).
% 138.23/21.17 thf(f112,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: ((sK1 @ sK19 @ Y0) => (sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ Y0))))) = $false) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f111])).
% 138.23/21.17 thf(f111,plain,(
% 138.23/21.17 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))) @ sK19) = $false) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f110])).
% 138.23/21.17 thf(f110,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f108])).
% 138.23/21.17 thf(f108,plain,(
% 138.23/21.17 (((sK1 @ sK17 @ sK18) => (sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f107])).
% 138.23/21.17 thf(f107,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | (((^[Y0 : a]: ((sK1 @ sK17 @ Y0) => (sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ Y0)))) @ sK18) = $false) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f106])).
% 138.23/21.17 thf(f106,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: ((sK1 @ sK17 @ Y0) => (sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ Y0))))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f105])).
% 138.23/21.17 thf(f105,plain,(
% 138.23/21.17 (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))) @ sK17) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f104])).
% 138.23/21.17 thf(f104,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f102])).
% 138.23/21.17 thf(f102,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) != (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))))) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f101])).
% 138.23/21.17 thf(f101,plain,(
% 138.23/21.17 (((^[Y0 : a > b]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK2 @ Y1 @ (sK15 @ Y1) @ (Y0 @ Y2)))))))) @ sK16) != ((^[Y0 : a > b]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK0 @ Y1 @ (sK15 @ Y1) @ (Y0 @ Y2)))))))) @ sK16)) | spl13_1),
% 138.23/21.17 inference(negative_extensionality,[status(thm)],[f100])).
% 138.23/21.17 thf(f100,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK2 @ Y1 @ (sK15 @ Y1) @ (Y0 @ Y2)))))))) != (^[Y0 : a > b]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((sK1 @ Y1 @ Y2) => (sK0 @ Y1 @ (sK15 @ Y1) @ (Y0 @ Y2))))))))) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f99])).
% 138.23/21.17 thf(f99,plain,(
% 138.23/21.17 (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) @ sK15) != ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) @ sK15)) | spl13_1),
% 138.23/21.17 inference(negative_extensionality,[status(thm)],[f61])).
% 138.23/21.17 thf(f61,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | spl13_1),
% 138.23/21.17 inference(avatar_component_clause,[status(thm)],[f59])).
% 138.23/21.17 thf(f162,plain,(
% 138.23/21.17 spl13_14 | spl13_15 | spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f115,f59,f159,f155])).
% 138.23/21.17 thf(f115,plain,(
% 138.23/21.17 ((sK0 @ sK19 @ (sK15 @ sK19) @ (sK16 @ sK20)) = $false) | ($true = (sK1 @ sK17 @ sK18)) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f114])).
% 138.23/21.17 thf(f153,plain,(
% 138.23/21.17 spl13_13 | spl13_12 | spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f122,f59,f145,f150])).
% 138.23/21.17 thf(f122,plain,(
% 138.23/21.17 ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | ($true = (sK1 @ sK21 @ sK22)) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f120])).
% 138.23/21.17 thf(f120,plain,(
% 138.23/21.17 (((sK1 @ sK21 @ sK22) => (sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22))) = $false) | ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f119])).
% 138.23/21.17 thf(f119,plain,(
% 138.23/21.17 (((^[Y0 : a]: ((sK1 @ sK21 @ Y0) => (sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ Y0)))) @ sK22) = $false) | ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f118])).
% 138.23/21.17 thf(f118,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: ((sK1 @ sK21 @ Y0) => (sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ Y0))))) = $false) | ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f117])).
% 138.23/21.17 thf(f117,plain,(
% 138.23/21.17 ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | (((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))) @ sK21) = $false) | spl13_1),
% 138.23/21.17 inference(sigma_clausification,[status(thm)],[f109])).
% 138.23/21.17 thf(f109,plain,(
% 138.23/21.17 ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $false) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f108])).
% 138.23/21.17 thf(f148,plain,(
% 138.23/21.17 spl13_11 | spl13_12 | spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f121,f59,f145,f141])).
% 138.23/21.17 thf(f121,plain,(
% 138.23/21.17 ((sK2 @ sK17 @ (sK15 @ sK17) @ (sK16 @ sK18)) = $false) | ((sK0 @ sK21 @ (sK15 @ sK21) @ (sK16 @ sK22)) = $false) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f120])).
% 138.23/21.17 thf(f139,plain,(
% 138.23/21.17 spl13_9 | spl13_10 | spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f132,f59,f137,f134])).
% 138.23/21.17 thf(f132,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a,X4 : a] : (((sK1 @ X1 @ X3) = $false) | ($true = (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) | ((sK1 @ X2 @ X4) = $false) | ($true = (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ X4)))) ) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f131])).
% 138.23/21.17 thf(f131,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a,X4 : a] : (($true = (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) | ($true = ((sK1 @ X2 @ X4) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ X4)))) | ((sK1 @ X1 @ X3) = $false)) ) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f130])).
% 138.23/21.17 thf(f130,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a,X4 : a] : ((((sK1 @ X1 @ X3) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) = $true) | ($true = ((sK1 @ X2 @ X4) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ X4))))) ) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f129])).
% 138.23/21.17 thf(f129,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a,X4 : a] : ((((sK1 @ X1 @ X3) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) = $true) | ($true = ((^[Y0 : a]: ((sK1 @ X2 @ Y0) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ Y0)))) @ X4))) ) | spl13_1),
% 138.23/21.17 inference(pi_clausification,[status(thm)],[f128])).
% 138.23/21.17 thf(f128,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X2 @ Y0) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ Y0)))))) | (((sK1 @ X1 @ X3) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ X3))) = $true)) ) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f127])).
% 138.23/21.17 thf(f127,plain,(
% 138.23/21.17 ( ! [X2 : a,X3 : a,X1 : a] : ((((^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ Y0)))) @ X3) = $true) | ($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X2 @ Y0) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ Y0))))))) ) | spl13_1),
% 138.23/21.17 inference(pi_clausification,[status(thm)],[f126])).
% 138.23/21.17 thf(f126,plain,(
% 138.23/21.17 ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ Y0)))))) | ($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X2 @ Y0) => (sK2 @ X2 @ (sK15 @ X2) @ (sK16 @ Y0))))))) ) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f125])).
% 138.23/21.17 thf(f125,plain,(
% 138.23/21.17 ( ! [X2 : a,X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ Y0)))))) | ($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))) @ X2))) ) | spl13_1),
% 138.23/21.17 inference(pi_clausification,[status(thm)],[f124])).
% 138.23/21.17 thf(f124,plain,(
% 138.23/21.17 ( ! [X1 : a] : (($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))))) | ($true = (!! @ a @ (^[Y0 : a]: ((sK1 @ X1 @ Y0) => (sK0 @ X1 @ (sK15 @ X1) @ (sK16 @ Y0))))))) ) | spl13_1),
% 138.23/21.17 inference(beta_eta_normalization,[status(thm)],[f123])).
% 138.23/21.17 thf(f123,plain,(
% 138.23/21.17 ( ! [X1 : a] : (($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))) @ X1)) | ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))))) ) | spl13_1),
% 138.23/21.17 inference(pi_clausification,[status(thm)],[f103])).
% 138.23/21.17 thf(f103,plain,(
% 138.23/21.17 ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK0 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1))))))) = $true) | ($true = (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((sK1 @ Y0 @ Y1) => (sK2 @ Y0 @ (sK15 @ Y0) @ (sK16 @ Y1)))))))) | spl13_1),
% 138.23/21.17 inference(binary_proxy_clausification,[status(thm)],[f102])).
% 138.23/21.17 thf(f98,plain,(
% 138.23/21.17 ~spl13_7 | spl13_4 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f42,f59,f71,f85])).
% 138.23/21.17 thf(f42,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ($true = (sK1 @ sK11 @ sK12))),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f32,f37,f37])).
% 138.23/21.17 thf(f32,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ($true = (sK3 @ sK11 @ sK12))),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f97,plain,(
% 138.23/21.17 spl13_8 | ~spl13_1 | ~spl13_3),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f40,f66,f59,f90])).
% 138.23/21.17 thf(f40,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12))) | ((sK1 @ sK8 @ sK7) = $true)),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f34,f37,f37])).
% 138.23/21.17 thf(f34,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK3 @ sK8 @ sK7)) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f96,plain,(
% 138.23/21.17 spl13_4 | spl13_2 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f45,f59,f63,f71])).
% 138.23/21.17 thf(f45,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a] : (($true != (sK1 @ X9 @ X10)) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true = (sK1 @ sK11 @ sK12)) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f29,f37,f37,f37])).
% 138.23/21.17 thf(f29,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true != (sK3 @ X9 @ X10)) | ($true = (sK3 @ sK11 @ sK12))) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f95,plain,(
% 138.23/21.17 spl13_6 | spl13_8 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f38,f59,f90,f79])).
% 138.23/21.17 thf(f38,plain,(
% 138.23/21.17 ( ! [X16 : a,X15 : a] : (($true != (sK1 @ X15 @ X16)) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ((sK1 @ sK8 @ sK7) = $true) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16)))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f36,f37,f37,f37])).
% 138.23/21.17 thf(f36,plain,(
% 138.23/21.17 ( ! [X16 : a,X15 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK3 @ sK8 @ sK7)) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f94,plain,(
% 138.23/21.17 ~spl13_1 | ~spl13_7 | ~spl13_3),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f43,f66,f85,f59])).
% 138.23/21.17 thf(f43,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f31,f37])).
% 138.23/21.17 thf(f31,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f93,plain,(
% 138.23/21.17 spl13_4 | spl13_8 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f39,f59,f90,f71])).
% 138.23/21.17 thf(f39,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK1 @ sK11 @ sK12)) | ((sK1 @ sK8 @ sK7) = $true)),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f35,f37,f37,f37])).
% 138.23/21.17 thf(f35,plain,(
% 138.23/21.17 ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK3 @ sK8 @ sK7)) | ($true = (sK3 @ sK11 @ sK12))),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f88,plain,(
% 138.23/21.17 spl13_6 | ~spl13_7 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f41,f59,f85,f79])).
% 138.23/21.17 thf(f41,plain,(
% 138.23/21.17 ( ! [X16 : a,X15 : a] : (($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ($true != (sK1 @ X15 @ X16))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f33,f37,f37])).
% 138.23/21.17 thf(f33,plain,(
% 138.23/21.17 ( ! [X16 : a,X15 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK0 @ sK8 @ (sK4 @ sK8) @ (sK6 @ sK7))) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f83,plain,(
% 138.23/21.17 ~spl13_1 | spl13_6 | spl13_2),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f44,f63,f79,f59])).
% 138.23/21.17 thf(f44,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a,X16 : a,X15 : a] : (($true != (sK1 @ X15 @ X16)) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ($true != (sK1 @ X9 @ X10)) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10)))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f30,f37,f37,f37])).
% 138.23/21.17 thf(f30,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a,X16 : a,X15 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true != (sK3 @ X9 @ X10)) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f82,plain,(
% 138.23/21.17 ~spl13_3 | spl13_5 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f49,f59,f75,f66])).
% 138.23/21.17 thf(f49,plain,(
% 138.23/21.17 ( ! [X11 : a,X12 : a] : (($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12))) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK1 @ X12 @ X11))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f25,f37,f37])).
% 138.23/21.17 thf(f25,plain,(
% 138.23/21.17 ( ! [X11 : a,X12 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK3 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f81,plain,(
% 138.23/21.17 ~spl13_1 | spl13_5 | spl13_6),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f47,f79,f75,f59])).
% 138.23/21.17 thf(f47,plain,(
% 138.23/21.17 ( ! [X11 : a,X16 : a,X15 : a,X12 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true) | ($true != (sK1 @ X12 @ X11)) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ($true != (sK1 @ X15 @ X16))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f27,f37,f37,f37])).
% 138.23/21.17 thf(f27,plain,(
% 138.23/21.17 ( ! [X11 : a,X16 : a,X15 : a,X12 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK3 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true) | ($true = (sK0 @ X15 @ (sK9 @ X15) @ (sK10 @ X16))) | ((sK3 @ X15 @ X16) != $true)) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f77,plain,(
% 138.23/21.17 spl13_4 | spl13_5 | ~spl13_1),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f48,f59,f75,f71])).
% 138.23/21.17 thf(f48,plain,(
% 138.23/21.17 ( ! [X11 : a,X12 : a] : (($true = (sK1 @ sK11 @ sK12)) | ($true != (sK1 @ X12 @ X11)) | ((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true)) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f26,f37,f37,f37])).
% 138.23/21.17 thf(f26,plain,(
% 138.23/21.17 ( ! [X11 : a,X12 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK3 @ X12 @ X11)) | ((sK0 @ X12 @ (sK5 @ X12) @ (sK6 @ X11)) = $true) | ($true = (sK3 @ sK11 @ sK12))) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 thf(f69,plain,(
% 138.23/21.17 ~spl13_1 | spl13_2 | ~spl13_3),
% 138.23/21.17 inference(avatar_split_clause,[status(thm)],[f46,f66,f63,f59])).
% 138.23/21.17 thf(f46,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true != (sK1 @ X9 @ X10)) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12))) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10)))) )),
% 138.23/21.17 inference(definition_unfolding,[status(thm)],[f28,f37,f37])).
% 138.23/21.17 thf(f28,plain,(
% 138.23/21.17 ( ! [X10 : a,X9 : a] : (((^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK1 @ Y2 @ Y3) => (sK2 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3)))))))))) != (^[Y0 : a > b]: ((^[Y1 : a > b]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: ((sK3 @ Y2 @ Y3) => (sK0 @ Y2 @ (Y0 @ Y2) @ (Y1 @ Y3))))))))))) | ($true = (sK0 @ X9 @ (sK4 @ X9) @ (sK5 @ X10))) | ($true != (sK3 @ X9 @ X10)) | ($true != (sK0 @ sK11 @ (sK10 @ sK11) @ (sK9 @ sK12)))) )),
% 138.23/21.17 inference(cnf_transformation,[status(thm)],[f16])).
% 138.23/21.17 % SZS output end Proof for DTF2THF_14609
% 138.23/21.17 % (15327)------------------------------
% 138.23/21.17 % (15327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 138.23/21.17 % (15327)Termination reason: Refutation
% 138.23/21.17
% 138.23/21.17 % (15327)Memory used [KB]: 7164
% 138.23/21.17 % (15327)Time elapsed: 0.198 s
% 138.23/21.17 % (15327)Instructions burned: 473 (million)
% 138.23/21.17 % (15327)------------------------------
% 138.23/21.17 % (15327)------------------------------
% 138.23/21.17 % (14798)Success in time 19.837 s
%------------------------------------------------------------------------------