%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV129^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 09:40:21 AM UTC 2026
% Result : Theorem 1.38s 1.23s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 9
% Syntax : Number of formulae : 84 ( 6 unt; 0 typ; 2 def)
% Number of atoms : 1003 ( 338 equ; 0 cnn)
% Maximal formula atoms : 26 ( 11 avg)
% Number of connectives : 2002 ( 201 ~; 191 |; 136 &;1265 @)
% ( 2 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 318 ( 318 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 15 usr; 7 con; 0-5 aty)
% ( 103 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 532 ( 198 ^; 256 !; 78 ?; 532 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_12,type,
sP0: ( a > a > $o ) > $o ).
thf(func_def_13,type,
sK1: ( a > a > $o ) > a ).
thf(func_def_14,type,
sK2: ( a > a > $o ) > a ).
thf(func_def_15,type,
sK3: ( a > a > $o ) > a ).
thf(func_def_16,type,
sK4: a ).
thf(func_def_17,type,
sK5: a ).
thf(func_def_18,type,
sK6: ( a > a > $o ) > $o ).
thf(func_def_19,type,
sK7: a > a > $o ).
thf(func_def_20,type,
sK8: ( a > a > $o ) > a ).
thf(func_def_21,type,
sK9: ( a > a > $o ) > a ).
thf(func_def_22,type,
sK10: ( a > a > $o ) > a > a > $o ).
thf(func_def_24,type,
ph12:
!>[X0: $tType] : X0 ).
thf(func_def_25,type,
sK13: ( a > a > $o ) > a > a > a > a > $o ).
thf(f673,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f62,f605,f672]) ).
thf(f672,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f671]) ).
thf(f671,plain,
( $false
| ~ spl11_1
| ~ spl11_2 ),
inference(subsumption_resolution,[status(thm)],[f669,f57]) ).
thf(f57,plain,
( ( $true
= ( sP0 @ sK7 ) )
| ~ spl11_1 ),
inference(avatar_component_clause,[status(thm)],[f56]) ).
thf(f56,definition,
( spl11_1
<=> ( $true
= ( sP0 @ sK7 ) ) ),
introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition]) ).
thf(f669,plain,
( ( $true
!= ( sP0 @ sK7 ) )
| ~ spl11_1
| ~ spl11_2 ),
inference(trivial_inequality_removal,[status(thm)],[f666]) ).
thf(f666,plain,
( ( $true
!= ( sP0 @ sK7 ) )
| ( $true != $true )
| ~ spl11_1
| ~ spl11_2 ),
inference(superposition,[status(thm)],[f658,f22]) ).
thf(f22,plain,
! [X0: a > a > $o] :
( ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
| ( $true
!= ( sP0 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: a > a > $o] :
( ( ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ) )
| ( $true
!= ( sP0 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13]) ).
thf(f13,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true
= ( X0 @ X1 @ X3 ) )
& ( $true
= ( X0 @ X3 @ X2 ) )
& ( $true
!= ( X0 @ X1 @ X2 ) ) )
=> ( ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) )
& ( ( X0 @ ( sK3 @ X0 ) @ ( sK2 @ X0 ) )
= $true )
& ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f12,plain,
! [X0: a > a > $o] :
( ? [X1: a,X2: a,X3: a] :
( ( $true
= ( X0 @ X1 @ X3 ) )
& ( $true
= ( X0 @ X3 @ X2 ) )
& ( $true
!= ( X0 @ X1 @ X2 ) ) )
| ( $true
!= ( sP0 @ X0 ) ) ),
inference(rectify,[status(thm)],[f11]) ).
thf(f11,plain,
! [X3: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true
= ( X3 @ X7 @ X9 ) )
& ( $true
= ( X3 @ X9 @ X8 ) )
& ( ( X3 @ X7 @ X8 )
!= $true ) )
| ( ( sP0 @ X3 )
!= $true ) ),
inference(nnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X3: a > a > $o] :
( ? [X7: a,X8: a,X9: a] :
( ( $true
= ( X3 @ X7 @ X9 ) )
& ( $true
= ( X3 @ X9 @ X8 ) )
& ( ( X3 @ X7 @ X8 )
!= $true ) )
| ( ( sP0 @ X3 )
!= $true ) ),
introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction]) ).
thf(f658,plain,
( ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_1
| ~ spl11_2 ),
inference(subsumption_resolution,[status(thm)],[f657,f57]) ).
thf(f657,plain,
( ( $true
!= ( sP0 @ sK7 ) )
| ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_2 ),
inference(trivial_inequality_removal,[status(thm)],[f653]) ).
thf(f653,plain,
( ( $true != $true )
| ( $true
!= ( sP0 @ sK7 ) )
| ( $true
!= ( sK7 @ ( sK3 @ sK7 ) @ ( sK2 @ sK7 ) ) )
| ~ spl11_2 ),
inference(superposition,[status(thm)],[f61,f23]) ).
thf(f23,plain,
! [X0: a > a > $o] :
( ( $true
= ( X0 @ ( sK1 @ X0 ) @ ( sK3 @ X0 ) ) )
| ( $true
!= ( sP0 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
thf(f61,plain,
( ! [X0: a] :
( ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( $true
!= ( sK7 @ X0 @ ( sK2 @ sK7 ) ) ) )
| ~ spl11_2 ),
inference(avatar_component_clause,[status(thm)],[f60]) ).
thf(f60,definition,
( spl11_2
<=> ! [X0: a] :
( ( $true
!= ( sK7 @ X0 @ ( sK2 @ sK7 ) ) )
| ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) ) ) ),
introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition]) ).
thf(f605,plain,
spl11_1,
inference(avatar_contradiction_clause,[status(thm)],[f604]) ).
thf(f604,plain,
( $false
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f603,f58]) ).
thf(f58,plain,
( ( $true
!= ( sP0 @ sK7 ) )
| spl11_1 ),
inference(avatar_component_clause,[status(thm)],[f56]) ).
thf(f603,plain,
( ( $true
= ( sP0 @ sK7 ) )
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f602,f29]) ).
thf(f29,plain,
( ( sK7 @ sK4 @ sK5 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f20,plain,
( ( ( sK7 @ sK4 @ sK5 )
!= $true )
& ! [X4: a,X5: a,X6: a] :
( ( $true
!= ( sK7 @ X4 @ X5 ) )
| ( $true
= ( sK7 @ X6 @ X5 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) )
& ! [X11: a > a > $o] :
( ( ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true )
& ( $true
= ( sK6 @ ( sK10 @ X11 ) ) )
& ( $true
= ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK4 @ sK5 ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f15,f19,f18,f17,f16]) ).
thf(f16,plain,
( ? [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ? [X3: a > a > $o] :
( ( $true
!= ( X3 @ X0 @ X1 ) )
& ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
= ( X3 @ X6 @ X5 ) )
| ( ( X3 @ X6 @ X4 )
!= $true ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( ( X2 @ X10 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( $true
= ( X3 @ X8 @ X7 ) ) ) )
& ! [X11: a > a > $o] :
( ? [X12: a,X13: a] :
( ( $true
!= ( X11 @ X13 @ X12 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( X2 @ X14 ) )
& ( $true
= ( X14 @ X13 @ X12 ) ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ X0 @ X1 ) ) ) )
=> ( ? [X3: a > a > $o] :
( ( $true
!= ( X3 @ sK4 @ sK5 ) )
& ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
= ( X3 @ X6 @ X5 ) )
| ( ( X3 @ X6 @ X4 )
!= $true ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( $true
= ( X3 @ X8 @ X7 ) ) ) )
& ! [X11: a > a > $o] :
( ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X13 @ X12 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( sK6 @ X14 ) )
& ( $true
= ( X14 @ X13 @ X12 ) ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK4 @ sK5 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f17,plain,
( ? [X3: a > a > $o] :
( ( $true
!= ( X3 @ sK4 @ sK5 ) )
& ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
= ( X3 @ X6 @ X5 ) )
| ( ( X3 @ X6 @ X4 )
!= $true ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( $true
= ( X3 @ X8 @ X7 ) ) ) )
=> ( ( ( sK7 @ sK4 @ sK5 )
!= $true )
& ! [X6: a,X5: a,X4: a] :
( ( $true
!= ( sK7 @ X4 @ X5 ) )
| ( $true
= ( sK7 @ X6 @ X5 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) ) )
& ! [X8: a,X7: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f18,plain,
! [X11: a > a > $o] :
( ? [X13: a,X12: a] :
( ( $true
!= ( X11 @ X13 @ X12 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( sK6 @ X14 ) )
& ( $true
= ( X14 @ X13 @ X12 ) ) ) )
=> ( ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true )
& ? [X14: a > a > $o] :
( ( $true
= ( sK6 @ X14 ) )
& ( $true
= ( X14 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f19,plain,
! [X11: a > a > $o] :
( ? [X14: a > a > $o] :
( ( $true
= ( sK6 @ X14 ) )
& ( $true
= ( X14 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) )
=> ( ( $true
= ( sK6 @ ( sK10 @ X11 ) ) )
& ( $true
= ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f15,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ? [X3: a > a > $o] :
( ( $true
!= ( X3 @ X0 @ X1 ) )
& ! [X4: a,X5: a,X6: a] :
( ( ( X3 @ X4 @ X5 )
!= $true )
| ( $true
= ( X3 @ X6 @ X5 ) )
| ( ( X3 @ X6 @ X4 )
!= $true ) )
& ! [X7: a,X8: a] :
( ! [X9: a > a > $o] :
( ! [X10: a > a > $o] :
( ( ( X2 @ X10 )
!= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 ) )
| ( $true
!= ( X9 @ X8 @ X7 ) ) )
| ( $true
= ( X3 @ X8 @ X7 ) ) ) )
& ! [X11: a > a > $o] :
( ? [X12: a,X13: a] :
( ( $true
!= ( X11 @ X13 @ X12 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( X2 @ X14 ) )
& ( $true
= ( X14 @ X13 @ X12 ) ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f10]) ).
thf(f10,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ? [X10: a > a > $o] :
( ( $true
!= ( X10 @ X0 @ X1 ) )
& ! [X15: a,X16: a,X17: a] :
( ( $true
!= ( X10 @ X15 @ X16 ) )
| ( $true
= ( X10 @ X17 @ X16 ) )
| ( $true
!= ( X10 @ X17 @ X15 ) ) )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ! [X14: a > a > $o] :
( ( $true
!= ( X2 @ X14 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 ) )
| ( $true
!= ( X13 @ X12 @ X11 ) ) )
| ( $true
= ( X10 @ X12 @ X11 ) ) ) )
& ! [X3: a > a > $o] :
( ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
& ? [X6: a > a > $o] :
( ( ( X2 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) ) )
| ( ( sP0 @ X3 )
= $true )
| ( $true
= ( X3 @ X0 @ X1 ) ) ) ),
inference(definition_folding,[status(thm)],[f8,f9]) ).
thf(f8,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ? [X10: a > a > $o] :
( ( $true
!= ( X10 @ X0 @ X1 ) )
& ! [X15: a,X16: a,X17: a] :
( ( $true
!= ( X10 @ X15 @ X16 ) )
| ( $true
= ( X10 @ X17 @ X16 ) )
| ( $true
!= ( X10 @ X17 @ X15 ) ) )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ! [X14: a > a > $o] :
( ( $true
!= ( X2 @ X14 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 ) )
| ( $true
!= ( X13 @ X12 @ X11 ) ) )
| ( $true
= ( X10 @ X12 @ X11 ) ) ) )
& ! [X3: a > a > $o] :
( ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
& ? [X6: a > a > $o] :
( ( ( X2 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) ) )
| ? [X7: a,X8: a,X9: a] :
( ( $true
= ( X3 @ X7 @ X9 ) )
& ( $true
= ( X3 @ X9 @ X8 ) )
& ( ( X3 @ X7 @ X8 )
!= $true ) )
| ( $true
= ( X3 @ X0 @ X1 ) ) ) ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
? [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ? [X10: a > a > $o] :
( ( $true
!= ( X10 @ X0 @ X1 ) )
& ! [X11: a,X12: a] :
( ! [X13: a > a > $o] :
( ! [X14: a > a > $o] :
( ( $true
!= ( X2 @ X14 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X13 ) )
| ( $true
!= ( X13 @ X12 @ X11 ) ) )
| ( $true
= ( X10 @ X12 @ X11 ) ) )
& ! [X15: a,X16: a,X17: a] :
( ( $true
= ( X10 @ X17 @ X16 ) )
| ( $true
!= ( X10 @ X17 @ X15 ) )
| ( $true
!= ( X10 @ X15 @ X16 ) ) ) )
& ! [X3: a > a > $o] :
( ( $true
= ( X3 @ X0 @ X1 ) )
| ? [X7: a,X8: a,X9: a] :
( ( ( X3 @ X7 @ X8 )
!= $true )
& ( $true
= ( X3 @ X9 @ X8 ) )
& ( $true
= ( X3 @ X7 @ X9 ) ) )
| ? [X4: a,X5: a] :
( ( ( X3 @ X5 @ X4 )
!= $true )
& ? [X6: a > a > $o] :
( ( ( X2 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ! [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ! [X3: a > a > $o] :
( ( ! [X7: a,X8: a,X9: a] :
( ( ( $true
= ( X3 @ X9 @ X8 ) )
& ( $true
= ( X3 @ X7 @ X9 ) ) )
=> ( ( X3 @ X7 @ X8 )
= $true ) )
& ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X2 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) ) )
=> ( $true
= ( X3 @ X0 @ X1 ) ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( $true
= ( X13 @ X12 @ X11 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( X2 @ X14 ) )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X13 ) ) )
=> ( $true
= ( X10 @ X12 @ X11 ) ) )
& ! [X15: a,X16: a,X17: a] :
( ( ( $true
= ( X10 @ X17 @ X15 ) )
& ( $true
= ( X10 @ X15 @ X16 ) ) )
=> ( $true
= ( X10 @ X17 @ X16 ) ) ) )
=> ( $true
= ( X10 @ X0 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ! [X3: a > a > $o] :
( ( ! [X7: a,X8: a,X9: a] :
( ( ( $true
= ( X3 @ X9 @ X8 ) )
& ( $true
= ( X3 @ X7 @ X9 ) ) )
=> ( ( X3 @ X7 @ X8 )
= $true ) )
& ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( ( X2 @ X6 )
= $true )
& ( $true
= ( X6 @ X5 @ X4 ) ) )
=> ( ( X3 @ X5 @ X4 )
= $true ) ) )
=> ( $true
= ( X3 @ X0 @ X1 ) ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( $true
= ( X13 @ X12 @ X11 ) )
& ? [X14: a > a > $o] :
( ( $true
= ( X2 @ X14 ) )
& ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X14 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
= X13 ) ) )
=> ( $true
= ( X10 @ X12 @ X11 ) ) )
& ! [X23: a,X24: a,X25: a] :
( ( ( $true
= ( X10 @ X23 @ X24 ) )
& ( ( X10 @ X25 @ X23 )
= $true ) )
=> ( $true
= ( X10 @ X25 @ X24 ) ) ) )
=> ( $true
= ( X10 @ X0 @ X1 ) ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: a,X1: a,X2: ( a > a > $o ) > $o] :
( ! [X3: a > a > $o] :
( ( ! [X4: a,X5: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X5 @ X4 )
& ( X2 @ X6 ) )
=> ( X3 @ X5 @ X4 ) )
& ! [X7: a,X8: a,X9: a] :
( ( ( X3 @ X7 @ X9 )
& ( X3 @ X9 @ X8 ) )
=> ( X3 @ X7 @ X8 ) ) )
=> ( X3 @ X0 @ X1 ) )
=> ! [X10: a > a > $o] :
( ( ! [X11: a,X12: a] :
( ? [X13: a > a > $o] :
( ( X13 @ X12 @ X11 )
& ? [X14: a > a > $o] :
( ( X2 @ X14 )
& ( X13
= ( ^ [X15: a,X16: a] :
! [X17: a > a > $o] :
( ( ! [X18: a,X19: a,X20: a] :
( ( ( X17 @ X19 @ X18 )
& ( X17 @ X20 @ X19 ) )
=> ( X17 @ X20 @ X18 ) )
& ! [X21: a,X22: a] :
( ( X14 @ X22 @ X21 )
=> ( X17 @ X22 @ X21 ) ) )
=> ( X17 @ X15 @ X16 ) ) ) ) ) )
=> ( X10 @ X12 @ X11 ) )
& ! [X23: a,X24: a,X25: a] :
( ( ( X10 @ X23 @ X24 )
& ( X10 @ X25 @ X23 ) )
=> ( X10 @ X25 @ X24 ) ) )
=> ( X10 @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: a,X2: a,X0: ( a > a > $o ) > $o] :
( ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ( X0 @ X6 ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X4: a,X7: a,X5: a] :
( ( ( X3 @ X4 @ X5 )
& ( X3 @ X5 @ X7 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) )
=> ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ? [X8: a > a > $o] :
( ( X0 @ X8 )
& ( X6
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X7: a,X13: a,X12: a] :
( ( ( X11 @ X13 @ X7 )
& ( X11 @ X12 @ X13 ) )
=> ( X11 @ X12 @ X7 ) )
& ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) ) )
=> ( X11 @ X9 @ X10 ) ) ) ) ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X5: a,X7: a,X4: a] :
( ( ( X3 @ X5 @ X7 )
& ( X3 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: a,X2: a,X0: ( a > a > $o ) > $o] :
( ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ( X0 @ X6 ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X4: a,X7: a,X5: a] :
( ( ( X3 @ X4 @ X5 )
& ( X3 @ X5 @ X7 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) )
=> ! [X3: a > a > $o] :
( ( ! [X5: a,X4: a] :
( ? [X6: a > a > $o] :
( ( X6 @ X4 @ X5 )
& ? [X8: a > a > $o] :
( ( X0 @ X8 )
& ( X6
= ( ^ [X9: a,X10: a] :
! [X11: a > a > $o] :
( ( ! [X7: a,X13: a,X12: a] :
( ( ( X11 @ X13 @ X7 )
& ( X11 @ X12 @ X13 ) )
=> ( X11 @ X12 @ X7 ) )
& ! [X13: a,X12: a] :
( ( X8 @ X12 @ X13 )
=> ( X11 @ X12 @ X13 ) ) )
=> ( X11 @ X9 @ X10 ) ) ) ) ) )
=> ( X3 @ X4 @ X5 ) )
& ! [X5: a,X7: a,X4: a] :
( ( ( X3 @ X5 @ X7 )
& ( X3 @ X4 @ X5 ) )
=> ( X3 @ X4 @ X7 ) ) )
=> ( X3 @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.POqry0XtiO/DTF2THF_20847.p',cTHM253_A_pme) ).
thf(f602,plain,
( ( ( sK7 @ sK4 @ sK5 )
= $true )
| ( $true
= ( sP0 @ sK7 ) )
| spl11_1 ),
inference(trivial_inequality_removal,[status(thm)],[f601]) ).
thf(f601,plain,
( ( $true != $true )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| ( $true
= ( sP0 @ sK7 ) )
| spl11_1 ),
inference(superposition,[status(thm)],[f539,f25]) ).
thf(f25,plain,
! [X11: a > a > $o] :
( ( $true
= ( sK6 @ ( sK10 @ X11 ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK4 @ sK5 ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f539,plain,
( ( $true
!= ( sK6 @ ( sK10 @ sK7 ) ) )
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f538,f29]) ).
thf(f538,plain,
( ( $true
!= ( sK6 @ ( sK10 @ sK7 ) ) )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f530,f58]) ).
thf(f530,plain,
( ( $true
!= ( sK6 @ ( sK10 @ sK7 ) ) )
| ( $true
= ( sP0 @ sK7 ) )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| spl11_1 ),
inference(trivial_inequality_removal,[status(thm)],[f507]) ).
thf(f507,plain,
( ( $true = $false )
| ( $true
!= ( sK6 @ ( sK10 @ sK7 ) ) )
| ( $true
= ( sP0 @ sK7 ) )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| spl11_1 ),
inference(superposition,[status(thm)],[f267,f24]) ).
thf(f24,plain,
! [X11: a > a > $o] :
( ( $true
= ( sK10 @ X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) ) )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK4 @ sK5 ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f267,plain,
( ! [X0: a > a > $o] :
( ( ( X0 @ ( sK9 @ sK7 ) @ ( sK8 @ sK7 ) )
= $false )
| ( $true
!= ( sK6 @ X0 ) ) )
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f266,f29]) ).
thf(f266,plain,
( ! [X0: a > a > $o] :
( ( $true
!= ( sK6 @ X0 ) )
| ( ( X0 @ ( sK9 @ sK7 ) @ ( sK8 @ sK7 ) )
= $false )
| ( ( sK7 @ sK4 @ sK5 )
= $true ) )
| spl11_1 ),
inference(subsumption_resolution,[status(thm)],[f265,f58]) ).
thf(f265,plain,
! [X0: a > a > $o] :
( ( $true
!= ( sK6 @ X0 ) )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| ( $true
= ( sP0 @ sK7 ) )
| ( ( X0 @ ( sK9 @ sK7 ) @ ( sK8 @ sK7 ) )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f241]) ).
thf(f241,plain,
! [X0: a > a > $o] :
( ( $true = $false )
| ( $true
!= ( sK6 @ X0 ) )
| ( ( X0 @ ( sK9 @ sK7 ) @ ( sK8 @ sK7 ) )
= $false )
| ( ( sK7 @ sK4 @ sK5 )
= $true )
| ( $true
= ( sP0 @ sK7 ) ) ),
inference(superposition,[status(thm)],[f240,f139]) ).
thf(f139,plain,
! [X17: a > a > $o] :
( ( ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) )
= $false )
| ( $true
= ( sP0 @ X17 ) )
| ( $true
= ( X17 @ sK4 @ sK5 ) ) ),
inference(not_proxy_clausification,[status(thm)],[f138]) ).
thf(f138,plain,
! [X17: a > a > $o] :
( ( $true
= ( sP0 @ X17 ) )
| ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) )
= $false ) ),
inference(not_proxy_clausification,[status(thm)],[f137]) ).
thf(f137,plain,
! [X17: a > a > $o] :
( ( $true
= ( ~ ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) ) )
| ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( $true
= ( sP0 @ X17 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f136]) ).
thf(f136,plain,
! [X17: a > a > $o] :
( ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) ) )
| ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( $true
= ( ~ ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f135]) ).
thf(f135,plain,
! [X17: a > a > $o] :
( ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( $true
= ( ~ ( X17 @ ( sK9 @ X17 ) @ ( sK8 @ X17 ) ) ) )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f134]) ).
thf(f134,plain,
! [X17: a > a > $o] :
( ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
= $true )
| ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( $true
= ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] : ( X17 @ Y0 @ Y1 ) ) ) ) ) ),
inference(boolean_simplification,[status(thm)],[f133]) ).
thf(f133,plain,
! [X17: a > a > $o] :
( ( ( ~ ( X17
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) ) ) )
= $true )
| ( ( ~ ( X17 @ sK4 @ sK5 ) )
= $false )
| ( ( sP0
@ ^ [Y0: a,Y1: a] :
~ ~ ( X17 @ Y0 @ Y1 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f127]) ).
thf(f127,plain,
! [X17: a > a > $o] :
( ( $true
= ( ^ [Y0: a,Y1: a] :
~ ( X17 @ Y0 @ Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) ) ) )
| ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( ^ [Y2: a,Y3: a] :
~ ( X17 @ Y2 @ Y3 )
@ Y0
@ Y1 ) ) )
| ( ( ^ [Y0: a,Y1: a] :
~ ( X17 @ Y0 @ Y1 )
@ sK4
@ sK5 )
= $false ) ),
inference(primitive_instantiation,[status(thm)],[f76]) ).
thf(f76,plain,
! [X14: a > a > $o] :
( ( $true
= ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) )
| ( $false
= ( X14 @ sK4 @ sK5 ) )
| ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f75]) ).
thf(f75,plain,
! [X14: a > a > $o] :
( ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) )
| ( $true
= ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) )
| ( ( ~ ( X14 @ sK4 @ sK5 ) )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f74]) ).
thf(f74,plain,
! [X14: a > a > $o] :
( ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) )
| ( $true
!= ( ~ ( X14
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) ) )
| ( ( ~ ( X14 @ sK4 @ sK5 ) )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f69]) ).
thf(f69,plain,
! [X14: a > a > $o] :
( ( $true
!= ( ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 )
@ ( sK9
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) )
@ ( sK8
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) )
| ( ( ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 )
@ sK4
@ sK5 )
= $true )
| ( $true
= ( sP0
@ ^ [Y0: a,Y1: a] :
~ ( X14 @ Y0 @ Y1 ) ) ) ),
inference(primitive_instantiation,[status(thm)],[f26]) ).
thf(f26,plain,
! [X11: a > a > $o] :
( ( ( X11 @ ( sK9 @ X11 ) @ ( sK8 @ X11 ) )
!= $true )
| ( $true
= ( sP0 @ X11 ) )
| ( $true
= ( X11 @ sK4 @ sK5 ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f240,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $true
= ( sK7 @ X2 @ X1 ) )
| ( $true
!= ( sK6 @ X0 ) )
| ( ( X0 @ X2 @ X1 )
= $false ) ),
inference(trivial_inequality_removal,[status(thm)],[f239]) ).
thf(f239,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $true = $false )
| ( $true
= ( sK7 @ X2 @ X1 ) )
| ( $true
!= ( sK6 @ X0 ) )
| ( ( X0 @ X2 @ X1 )
= $false ) ),
inference(duplicate_literal_removal,[status(thm)],[f227]) ).
thf(f227,plain,
! [X2: a,X0: a > a > $o,X1: a] :
( ( $true
= ( sK7 @ X2 @ X1 ) )
| ( $true
= ( sK7 @ X2 @ X1 ) )
| ( $true
!= ( sK6 @ X0 ) )
| ( ( X0 @ X2 @ X1 )
= $false )
| ( $true = $false )
| ( $true
!= ( sK6 @ X0 ) ) ),
inference(superposition,[status(thm)],[f42,f34]) ).
thf(f34,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $false
= ( sK13 @ X10 @ X7 @ X8 @ X8 @ X7 ) )
| ( $true
!= ( sK6 @ X10 ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f33,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( ( sK7 @ X8 @ X7 )
= $true )
| ( $true
!= ( sK6 @ X10 ) )
| ( ( ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 )
& ( sK13 @ X10 @ X7 @ X8 @ Y1 @ Y2 ) )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2 ) ) ) ) ) )
=> ( sK13 @ X10 @ X7 @ X8 @ X8 @ X7 ) )
= $false ) ),
inference(beta_eta_normalization,[status(thm)],[f32]) ).
thf(f32,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X10 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ X8 @ X7 ) )
@ ( sK13 @ X10 @ X7 @ X8 ) )
= $false )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(sigma_clausification,[status(thm)],[f31]) ).
thf(f31,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( $true
!= ( !! @ ( a > a > $o )
@ ^ [Y0: a > a > $o] :
( ( ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( X10 @ Y1 @ Y2 )
=> ( Y0 @ Y1 @ Y2 ) ) ) )
& ( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( !! @ a
@ ^ [Y3: a] :
( ( ( Y0 @ Y1 @ Y2 )
& ( Y0 @ Y2 @ Y3 ) )
=> ( Y0 @ Y1 @ Y3 ) ) ) ) ) )
=> ( Y0 @ X8 @ X7 ) ) ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f30]) ).
thf(f30,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( ( sK7 @ X8 @ X7 )
= $true )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) )
@ X8
@ X7 )
!= $true )
| ( $true
!= ( sK6 @ X10 ) ) ),
inference(equality_resolution,[status(thm)],[f27]) ).
thf(f27,plain,
! [X10: a > a > $o,X8: a,X9: a > a > $o,X7: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( ^ [Y0: a,Y1: a] :
( !! @ ( a > a > $o )
@ ^ [Y2: a > a > $o] :
( ( ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( ( X10 @ Y3 @ Y4 )
=> ( Y2 @ Y3 @ Y4 ) ) ) )
& ( !! @ a
@ ^ [Y3: a] :
( !! @ a
@ ^ [Y4: a] :
( !! @ a
@ ^ [Y5: a] :
( ( ( Y2 @ Y3 @ Y4 )
& ( Y2 @ Y4 @ Y5 ) )
=> ( Y2 @ Y3 @ Y5 ) ) ) ) ) )
=> ( Y2 @ Y0 @ Y1 ) ) ) )
!= X9 )
| ( $true
!= ( X9 @ X8 @ X7 ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f42,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( $true
= ( sK13 @ X10 @ X7 @ X8 @ X11 @ X12 ) )
| ( $true
!= ( sK6 @ X10 ) )
| ( ( X10 @ X11 @ X12 )
= $false )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f41]) ).
thf(f41,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( $true
= ( ( X10 @ X11 @ X12 )
=> ( sK13 @ X10 @ X7 @ X8 @ X11 @ X12 ) ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(beta_eta_normalization,[status(thm)],[f40]) ).
thf(f40,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a,X12: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( sK7 @ X8 @ X7 )
= $true )
| ( ( ^ [Y0: a] :
( ( X10 @ X11 @ Y0 )
=> ( sK13 @ X10 @ X7 @ X8 @ X11 @ Y0 ) )
@ X12 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a] :
( ( $true
= ( !! @ a
@ ^ [Y0: a] :
( ( X10 @ X11 @ Y0 )
=> ( sK13 @ X10 @ X7 @ X8 @ X11 @ Y0 ) ) ) )
| ( ( sK7 @ X8 @ X7 )
= $true )
| ( $true
!= ( sK6 @ X10 ) ) ),
inference(beta_eta_normalization,[status(thm)],[f38]) ).
thf(f38,plain,
! [X10: a > a > $o,X11: a,X8: a,X7: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( $true
= ( ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 ) ) )
@ X11 ) )
| ( ( sK7 @ X8 @ X7 )
= $true ) ),
inference(pi_clausification,[status(thm)],[f37]) ).
thf(f37,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( $true
!= ( sK6 @ X10 ) )
| ( ( sK7 @ X8 @ X7 )
= $true )
| ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f35]) ).
thf(f35,plain,
! [X10: a > a > $o,X8: a,X7: a] :
( ( ( sK7 @ X8 @ X7 )
= $true )
| ( $true
= ( ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( ( X10 @ Y0 @ Y1 )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 ) ) ) )
& ( !! @ a
@ ^ [Y0: a] :
( !! @ a
@ ^ [Y1: a] :
( !! @ a
@ ^ [Y2: a] :
( ( ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1 )
& ( sK13 @ X10 @ X7 @ X8 @ Y1 @ Y2 ) )
=> ( sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2 ) ) ) ) ) ) )
| ( $true
!= ( sK6 @ X10 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f33]) ).
thf(f62,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_split_clause,[status(thm)],[f53,f60,f56]) ).
thf(f53,plain,
! [X0: a] :
( ( $true
!= ( sK7 @ X0 @ ( sK2 @ sK7 ) ) )
| ( $true
!= ( sP0 @ sK7 ) )
| ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f52]) ).
thf(f52,plain,
! [X0: a] :
( ( $true
!= ( sK7 @ X0 @ ( sK2 @ sK7 ) ) )
| ( $true
!= ( sP0 @ sK7 ) )
| ( $true
!= ( sK7 @ ( sK1 @ sK7 ) @ X0 ) )
| ( $true != $true ) ),
inference(superposition,[status(thm)],[f21,f28]) ).
thf(f28,plain,
! [X6: a,X4: a,X5: a] :
( ( $true
= ( sK7 @ X6 @ X5 ) )
| ( $true
!= ( sK7 @ X6 @ X4 ) )
| ( $true
!= ( sK7 @ X4 @ X5 ) ) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
thf(f21,plain,
! [X0: a > a > $o] :
( ( $true
!= ( X0 @ ( sK1 @ X0 ) @ ( sK2 @ X0 ) ) )
| ( $true
!= ( sP0 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV129^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.32 % Computer : n022.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:40:51 EST 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.42 ---- Original DTF file ---
% 0.18/0.42 thf(spec,logic,$$dhol).
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 % File : SEV129^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.42 % Domain : Set Theory (Relations)
% 0.18/0.42 % Problem : TPS problem from SETS-OF-RELNS-THMS
% 0.18/0.42 % Version : Especial.
% 0.18/0.42 % English :
% 0.18/0.42
% 0.18/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.42 % Source : [Bro09]
% 0.18/0.42 % Names : tps_1139 [Bro09]
% 0.18/0.42
% 0.18/0.42 % Status : Theorem
% 0.18/0.42 % Rating : 0.33 v9.1.0, 0.38 v9.0.0, 0.30 v8.2.0, 0.46 v8.1.0, 0.55 v7.5.0, 0.43 v7.4.0, 0.33 v7.2.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.43 v6.1.0, 0.29 v5.5.0, 0.50 v5.4.0, 0.60 v5.2.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.18/0.42 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.18/0.42 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.18/0.42 % Maximal formula atoms : 1 ( 1 avg)
% 0.18/0.42 % Number of connectives : 57 ( 0 ~; 0 |; 9 &; 38 @)
% 0.18/0.42 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.18/0.42 % Maximal formula depth : 16 ( 16 avg)
% 0.18/0.42 % Number of types : 2 ( 1 usr)
% 0.18/0.42 % Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% 0.18/0.42 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.18/0.42 % Number of variables : 26 ( 2 ^; 21 !; 3 ?; 26 :)
% 0.18/0.42 % SPC : TH0_THM_EQU_NAR
% 0.18/0.42
% 0.18/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 thf(a_type,type,
% 0.18/0.42 a: $tType ).
% 0.18/0.42
% 0.18/0.42 thf(cTHM253_A_pme,conjecture,
% 0.18/0.42 ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
% 0.18/0.42 ( ! [Xp1: a > a > $o] :
% 0.18/0.42 ( ( ! [Xx0: a,Xy0: a] :
% 0.18/0.42 ( ? [R: a > a > $o] :
% 0.18/0.42 ( ( S @ R )
% 0.18/0.42 & ( R @ Xx0 @ Xy0 ) )
% 0.18/0.42 => ( Xp1 @ Xx0 @ Xy0 ) )
% 0.18/0.42 & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.18/0.42 ( ( ( Xp1 @ Xx0 @ Xy0 )
% 0.18/0.42 & ( Xp1 @ Xy0 @ Xz ) )
% 0.18/0.42 => ( Xp1 @ Xx0 @ Xz ) ) )
% 0.18/0.42 => ( Xp1 @ Xx @ Xy ) )
% 0.18/0.42 => ! [Xp1: a > a > $o] :
% 0.18/0.42 ( ( ! [Xx0: a,Xy0: a] :
% 0.18/0.42 ( ? [R: a > a > $o] :
% 0.18/0.42 ( ? [Q: a > a > $o] :
% 0.18/0.42 ( ( S @ Q )
% 0.18/0.42 & ( R
% 0.18/0.42 = ( ^ [Xx1: a,Xy1: a] :
% 0.18/0.42 ! [Xp10: a > a > $o] :
% 0.18/0.42 ( ( ! [Xx2: a,Xy2: a] :
% 0.18/0.42 ( ( Q @ Xx2 @ Xy2 )
% 0.18/0.42 => ( Xp10 @ Xx2 @ Xy2 ) )
% 0.18/0.42 & ! [Xx2: a,Xy2: a,Xz: a] :
% 0.18/0.42 ( ( ( Xp10 @ Xx2 @ Xy2 )
% 0.18/0.42 & ( Xp10 @ Xy2 @ Xz ) )
% 0.18/0.42 => ( Xp10 @ Xx2 @ Xz ) ) )
% 0.18/0.42 => ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
% 0.18/0.42 & ( R @ Xx0 @ Xy0 ) )
% 0.18/0.42 => ( Xp1 @ Xx0 @ Xy0 ) )
% 0.18/0.42 & ! [Xx0: a,Xy0: a,Xz: a] :
% 0.18/0.42 ( ( ( Xp1 @ Xx0 @ Xy0 )
% 0.18/0.42 & ( Xp1 @ Xy0 @ Xz ) )
% 0.18/0.42 => ( Xp1 @ Xx0 @ Xz ) ) )
% 0.18/0.42 => ( Xp1 @ Xx @ Xy ) ) ) ).
% 0.18/0.42
% 0.18/0.42 %------------------------------------------------------------------------------
% 0.18/0.42 ------------------------
% 1.34/1.13 ---- Embedded in THF ---
% 1.34/1.14 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.34/1.14 %%% Generated on Tue Feb 24 12:40:51 EST 2026
% 1.34/1.14 %%% using '$$dhol' embedding, version 1.3.0.
% 1.34/1.14 %%% Logic specification used:
% 1.34/1.14 %%% thf(spec, logic, $$dhol).
% 1.34/1.14
% 1.34/1.14 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.POqry0XtiO/DTF2DTF20847.p
% See solution above
% 1.34/1.14 ------------------------
% 1.34/1.14 ---- Cleaned THF ---
% 1.34/1.14 thf(a_type,type,
% 1.34/1.14 a: $tType ).
% 1.34/1.14
% 1.34/1.14 thf(cTHM253_A_pme,conjecture,
% 1.34/1.14 ! [S: ( a > a > $o ) > $o,Xx: a,Xy: a] :
% 1.34/1.14 ( ! [Xp1: a > a > $o] :
% 1.34/1.14 ( ( ! [Xx0: a,Xy0: a] :
% 1.34/1.14 ( ? [R: a > a > $o] :
% 1.34/1.14 ( ( S @ R )
% 1.34/1.14 & ( R @ Xx0 @ Xy0 ) )
% 1.34/1.14 => ( Xp1 @ Xx0 @ Xy0 ) )
% 1.34/1.14 & ! [Xx0: a,Xy0: a,Xz: a] :
% 1.34/1.14 ( ( ( Xp1 @ Xx0 @ Xy0 )
% 1.34/1.14 & ( Xp1 @ Xy0 @ Xz ) )
% 1.34/1.14 => ( Xp1 @ Xx0 @ Xz ) ) )
% 1.34/1.14 => ( Xp1 @ Xx @ Xy ) )
% 1.34/1.14 => ! [Xp1: a > a > $o] :
% 1.34/1.14 ( ( ! [Xx0: a,Xy0: a] :
% 1.34/1.14 ( ? [R: a > a > $o] :
% 1.34/1.14 ( ? [Q: a > a > $o] :
% 1.34/1.14 ( ( S @ Q )
% 1.34/1.14 & ( R
% 1.34/1.14 = ( ^ [Xx1: a,Xy1: a] :
% 1.34/1.14 ! [Xp10: a > a > $o] :
% 1.34/1.14 ( ( ! [Xx2: a,Xy2: a] :
% 1.34/1.14 ( ( Q @ Xx2 @ Xy2 )
% 1.34/1.14 => ( Xp10 @ Xx2 @ Xy2 ) )
% 1.34/1.14 & ! [Xx2: a,Xy2: a,Xz: a] :
% 1.34/1.14 ( ( ( Xp10 @ Xx2 @ Xy2 )
% 1.34/1.14 & ( Xp10 @ Xy2 @ Xz ) )
% 1.34/1.14 => ( Xp10 @ Xx2 @ Xz ) ) )
% 1.34/1.14 => ( Xp10 @ Xx1 @ Xy1 ) ) ) ) )
% 1.34/1.14 & ( R @ Xx0 @ Xy0 ) )
% 1.34/1.14 => ( Xp1 @ Xx0 @ Xy0 ) )
% 1.34/1.14 & ! [Xx0: a,Xy0: a,Xz: a] :
% 1.34/1.14 ( ( ( Xp1 @ Xx0 @ Xy0 )
% 1.34/1.14 & ( Xp1 @ Xy0 @ Xz ) )
% 1.34/1.14 => ( Xp1 @ Xx0 @ Xz ) ) )
% 1.34/1.14 => ( Xp1 @ Xx @ Xy ) ) ) ).
% 1.34/1.14 ------------------------
% 1.34/1.16 % (20944)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_20847 for (3000ds/183Mi)
% 1.34/1.16 % (20947)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_20847 for (3000ds/2Mi)
% 1.34/1.16 % (20945)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_20847 for (3000ds/4Mi)
% 1.34/1.16 % (20949)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_20847 for (3000ds/275Mi)
% 1.34/1.16 % (20946)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_20847 for (3000ds/27Mi)
% 1.34/1.16 % (20948)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_20847 for (3000ds/2Mi)
% 1.34/1.16 % (20950)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_20847 for (3000ds/18Mi)
% 1.34/1.16 % (20947)Instruction limit reached!
% 1.34/1.16 % (20947)------------------------------
% 1.34/1.16 % (20947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (20947)Termination reason: Unknown
% 1.34/1.16 % (20947)Termination phase: Property scanning
% 1.34/1.16 % (20948)Instruction limit reached!
% 1.34/1.16 % (20948)------------------------------
% 1.34/1.16 % (20948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.16 % (20948)Termination reason: Unknown
% 1.34/1.16 % (20948)Termination phase: shuffling
% 1.34/1.16
% 1.34/1.16 % (20948)Memory used [KB]: 895
% 1.34/1.16 % (20948)Time elapsed: 0.002 s
% 1.34/1.16 % (20948)Instructions burned: 2 (million)
% 1.34/1.16 % (20948)------------------------------
% 1.34/1.16 % (20948)------------------------------
% 1.34/1.16
% 1.34/1.16 % (20947)Memory used [KB]: 1023
% 1.34/1.16 % (20947)Time elapsed: 0.002 s
% 1.34/1.16 % (20947)Instructions burned: 2 (million)
% 1.34/1.16 % (20947)------------------------------
% 1.34/1.16 % (20947)------------------------------
% 1.34/1.17 % (20945)Instruction limit reached!
% 1.34/1.17 % (20945)------------------------------
% 1.34/1.17 % (20945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (20945)Termination reason: Unknown
% 1.34/1.17 % (20945)Termination phase: Saturation
% 1.34/1.17
% 1.34/1.17 % (20945)Memory used [KB]: 5500
% 1.34/1.17 % (20945)Time elapsed: 0.004 s
% 1.34/1.17 % (20945)Instructions burned: 5 (million)
% 1.34/1.17 % (20945)------------------------------
% 1.34/1.17 % (20945)------------------------------
% 1.34/1.17 % (20950)Instruction limit reached!
% 1.34/1.17 % (20950)------------------------------
% 1.34/1.17 % (20950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.17 % (20950)Termination reason: Unknown
% 1.34/1.17 % (20950)Termination phase: Saturation
% 1.34/1.17
% 1.34/1.17 % (20950)Memory used [KB]: 5628
% 1.34/1.17 % (20950)Time elapsed: 0.011 s
% 1.34/1.17 % (20950)Instructions burned: 20 (million)
% 1.34/1.17 % (20950)------------------------------
% 1.34/1.17 % (20950)------------------------------
% 1.34/1.18 % (20946)Instruction limit reached!
% 1.34/1.18 % (20946)------------------------------
% 1.34/1.18 % (20946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (20946)Termination reason: Unknown
% 1.34/1.18 % (20946)Termination phase: Saturation
% 1.34/1.18
% 1.34/1.18 % (20946)Memory used [KB]: 5628
% 1.34/1.18 % (20946)Time elapsed: 0.015 s
% 1.34/1.18 % (20946)Instructions burned: 27 (million)
% 1.34/1.18 % (20946)------------------------------
% 1.34/1.18 % (20946)------------------------------
% 1.34/1.18 % (20952)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_20847 for (2999ds/37Mi)
% 1.34/1.18 % (20951)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/3Mi)
% 1.34/1.18 % (20951)Instruction limit reached!
% 1.34/1.18 % (20951)------------------------------
% 1.34/1.18 % (20951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.18 % (20951)Termination reason: Unknown
% 1.34/1.18 % (20951)Termination phase: Equality resolution with deletion
% 1.34/1.18
% 1.34/1.18 % (20951)Memory used [KB]: 1023
% 1.34/1.18 % (20951)Time elapsed: 0.003 s
% 1.34/1.18 % (20951)Instructions burned: 4 (million)
% 1.34/1.18 % (20951)------------------------------
% 1.34/1.18 % (20951)------------------------------
% 1.34/1.18 % (20953)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_20847 for (2999ds/15Mi)
% 1.34/1.19 % (20954)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_20847 for (2999ds/3Mi)
% 1.34/1.19 % (20953)Instruction limit reached!
% 1.34/1.19 % (20953)------------------------------
% 1.34/1.19 % (20953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (20953)Termination reason: Unknown
% 1.34/1.19 % (20953)Termination phase: Saturation
% 1.34/1.19
% 1.34/1.19 % (20953)Memory used [KB]: 5756
% 1.34/1.19 % (20953)Time elapsed: 0.010 s
% 1.34/1.19 % (20953)Instructions burned: 16 (million)
% 1.34/1.19 % (20953)------------------------------
% 1.34/1.19 % (20953)------------------------------
% 1.34/1.19 % (20954)Instruction limit reached!
% 1.34/1.19 % (20954)------------------------------
% 1.34/1.19 % (20954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.34/1.19 % (20954)Termination reason: Unknown
% 1.34/1.19 % (20954)Termination phase: Property scanning
% 1.34/1.19
% 1.34/1.19 % (20954)Memory used [KB]: 1023
% 1.34/1.19 % (20954)Time elapsed: 0.003 s
% 1.34/1.19 % (20954)Instructions burned: 4 (million)
% 1.34/1.19 % (20954)------------------------------
% 1.34/1.19 % (20954)------------------------------
% 1.34/1.19 % (20955)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_20847 for (2999ds/1041Mi)
% 1.38/1.20 % (20952)Instruction limit reached!
% 1.38/1.20 % (20952)------------------------------
% 1.38/1.20 % (20952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.20 % (20952)Termination reason: Unknown
% 1.38/1.20 % (20952)Termination phase: Saturation
% 1.38/1.20
% 1.38/1.20 % (20952)Memory used [KB]: 5756
% 1.38/1.20 % (20952)Time elapsed: 0.018 s
% 1.38/1.20 % (20952)Instructions burned: 37 (million)
% 1.38/1.20 % (20952)------------------------------
% 1.38/1.20 % (20952)------------------------------
% 1.38/1.20 % (20956)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/7Mi)
% 1.38/1.20 % (20956)Instruction limit reached!
% 1.38/1.20 % (20956)------------------------------
% 1.38/1.20 % (20956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.20 % (20956)Termination reason: Unknown
% 1.38/1.20 % (20956)Termination phase: Saturation
% 1.38/1.20
% 1.38/1.20 % (20956)Memory used [KB]: 1023
% 1.38/1.20 % (20956)Time elapsed: 0.005 s
% 1.38/1.20 % (20956)Instructions burned: 8 (million)
% 1.38/1.20 % (20956)------------------------------
% 1.38/1.20 % (20956)------------------------------
% 1.38/1.21 % (20957)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/16Mi)
% 1.38/1.21 % (20958)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_20847 for (2999ds/3Mi)
% 1.38/1.21 % (20958)Instruction limit reached!
% 1.38/1.21 % (20958)------------------------------
% 1.38/1.21 % (20958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.21 % (20958)Termination reason: Unknown
% 1.38/1.21 % (20958)Termination phase: Twee Goal Transformation
% 1.38/1.21
% 1.38/1.21 % (20958)Memory used [KB]: 1023
% 1.38/1.21 % (20958)Time elapsed: 0.003 s
% 1.38/1.21 % (20958)Instructions burned: 4 (million)
% 1.38/1.21 % (20958)------------------------------
% 1.38/1.21 % (20958)------------------------------
% 1.38/1.21 % (20944)Instruction limit reached!
% 1.38/1.21 % (20944)------------------------------
% 1.38/1.21 % (20944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.21 % (20944)Termination reason: Unknown
% 1.38/1.21 % (20944)Termination phase: Saturation
% 1.38/1.21
% 1.38/1.21 % (20944)Memory used [KB]: 7547
% 1.38/1.21 % (20944)Time elapsed: 0.054 s
% 1.38/1.21 % (20944)Instructions burned: 186 (million)
% 1.38/1.21 % (20944)------------------------------
% 1.38/1.21 % (20944)------------------------------
% 1.38/1.21 % (20959)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_20847 for (2999ds/3Mi)
% 1.38/1.21 % (20959)Instruction limit reached!
% 1.38/1.21 % (20959)------------------------------
% 1.38/1.21 % (20959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.22 % (20959)Termination reason: Unknown
% 1.38/1.22 % (20959)Termination phase: Property scanning
% 1.38/1.22
% 1.38/1.22 % (20959)Memory used [KB]: 1023
% 1.38/1.22 % (20957)Instruction limit reached!
% 1.38/1.22 % (20957)------------------------------
% 1.38/1.22 % (20957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.22 % (20959)Time elapsed: 0.003 s
% 1.38/1.22 % (20959)Instructions burned: 4 (million)
% 1.38/1.22 % (20959)------------------------------
% 1.38/1.22 % (20959)------------------------------
% 1.38/1.22 % (20957)Termination reason: Unknown
% 1.38/1.22 % (20957)Termination phase: Saturation
% 1.38/1.22
% 1.38/1.22 % (20957)Memory used [KB]: 5628
% 1.38/1.22 % (20957)Time elapsed: 0.010 s
% 1.38/1.22 % (20957)Instructions burned: 17 (million)
% 1.38/1.22 % (20957)------------------------------
% 1.38/1.22 % (20957)------------------------------
% 1.38/1.22 % (20960)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/7Mi)
% 1.38/1.22 % (20962)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/4Mi)
% 1.38/1.22 % (20960)Instruction limit reached!
% 1.38/1.22 % (20960)------------------------------
% 1.38/1.22 % (20960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.22 % (20960)Termination reason: Unknown
% 1.38/1.22 % (20960)Termination phase: Saturation
% 1.38/1.22
% 1.38/1.22 % (20960)Memory used [KB]: 5500
% 1.38/1.22 % (20960)Time elapsed: 0.005 s
% 1.38/1.22 % (20960)Instructions burned: 8 (million)
% 1.38/1.22 % (20960)------------------------------
% 1.38/1.22 % (20960)------------------------------
% 1.38/1.22 % (20962)Instruction limit reached!
% 1.38/1.22 % (20962)------------------------------
% 1.38/1.22 % (20962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.22 % (20962)Termination reason: Unknown
% 1.38/1.22 % (20962)Termination phase: Saturation
% 1.38/1.22
% 1.38/1.22 % (20962)Memory used [KB]: 5500
% 1.38/1.22 % (20962)Time elapsed: 0.003 s
% 1.38/1.22 % (20962)Instructions burned: 5 (million)
% 1.38/1.22 % (20962)------------------------------
% 1.38/1.22 % (20962)------------------------------
% 1.38/1.22 % (20949)First to succeed.
% 1.38/1.22 % (20961)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_20847 for (2999ds/3Mi)
% 1.38/1.23 % (20961)Instruction limit reached!
% 1.38/1.23 % (20961)------------------------------
% 1.38/1.23 % (20961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.23 % (20961)Termination reason: Unknown
% 1.38/1.23 % (20961)Termination phase: Saturation
% 1.38/1.23
% 1.38/1.23 % (20961)Memory used [KB]: 5500
% 1.38/1.23 % (20961)Time elapsed: 0.003 s
% 1.38/1.23 % (20961)Instructions burned: 4 (million)
% 1.38/1.23 % (20961)------------------------------
% 1.38/1.23 % (20961)------------------------------
% 1.38/1.23 % (20949)Refutation found. Thanks to Tanya!
% 1.38/1.23 % SZS status Theorem for DTF2THF_20847
% 1.38/1.23 % SZS output start Proof for DTF2THF_20847
% 1.38/1.23 thf(type_def_5, type, a: $tType).
% 1.38/1.23 thf(func_def_0, type, a: $tType).
% 1.38/1.23 thf(func_def_12, type, sP0: (a > a > $o) > $o).
% 1.38/1.23 thf(func_def_13, type, sK1: (a > a > $o) > a).
% 1.38/1.23 thf(func_def_14, type, sK2: (a > a > $o) > a).
% 1.38/1.23 thf(func_def_15, type, sK3: (a > a > $o) > a).
% 1.38/1.23 thf(func_def_16, type, sK4: a).
% 1.38/1.23 thf(func_def_17, type, sK5: a).
% 1.38/1.23 thf(func_def_18, type, sK6: (a > a > $o) > $o).
% 1.38/1.23 thf(func_def_19, type, sK7: a > a > $o).
% 1.38/1.23 thf(func_def_20, type, sK8: (a > a > $o) > a).
% 1.38/1.23 thf(func_def_21, type, sK9: (a > a > $o) > a).
% 1.38/1.23 thf(func_def_22, type, sK10: (a > a > $o) > a > a > $o).
% 1.38/1.23 thf(func_def_24, type, ph12: !>[X0: $tType]:(X0)).
% 1.38/1.23 thf(func_def_25, type, sK13: (a > a > $o) > a > a > a > a > $o).
% 1.38/1.23 thf(f673,plain,(
% 1.38/1.23 $false),
% 1.38/1.23 inference(avatar_sat_refutation,[status(thm)],[f62,f605,f672])).
% 1.38/1.23 thf(f672,plain,(
% 1.38/1.23 ~spl11_1 | ~spl11_2),
% 1.38/1.23 inference(avatar_contradiction_clause,[status(thm)],[f671])).
% 1.38/1.23 thf(f671,plain,(
% 1.38/1.23 $false | (~spl11_1 | ~spl11_2)),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f669,f57])).
% 1.38/1.23 thf(f57,plain,(
% 1.38/1.23 ($true = (sP0 @ sK7)) | ~spl11_1),
% 1.38/1.23 inference(avatar_component_clause,[status(thm)],[f56])).
% 1.38/1.23 thf(f56,definition,(
% 1.38/1.23 spl11_1 <=> ($true = (sP0 @ sK7))),
% 1.38/1.23 introduced(definition,[new_symbols(naming,[spl11_1])],[avatar_definition])).
% 1.38/1.23 thf(f669,plain,(
% 1.38/1.23 ($true != (sP0 @ sK7)) | (~spl11_1 | ~spl11_2)),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f666])).
% 1.38/1.23 thf(f666,plain,(
% 1.38/1.23 ($true != (sP0 @ sK7)) | ($true != $true) | (~spl11_1 | ~spl11_2)),
% 1.38/1.23 inference(superposition,[status(thm)],[f658,f22])).
% 1.38/1.23 thf(f22,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (((X0 @ (sK3 @ X0) @ (sK2 @ X0)) = $true) | ($true != (sP0 @ X0))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f14])).
% 1.38/1.23 thf(f14,plain,(
% 1.38/1.23 ! [X0 : a > a > $o] : ((($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0))) & ((X0 @ (sK3 @ X0) @ (sK2 @ X0)) = $true) & ($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0)))) | ($true != (sP0 @ X0)))),
% 1.38/1.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f12,f13])).
% 1.38/1.23 thf(f13,plain,(
% 1.38/1.23 ! [X0 : a > a > $o] : (? [X1 : a,X2 : a,X3 : a] : (($true = (X0 @ X1 @ X3)) & ($true = (X0 @ X3 @ X2)) & ($true != (X0 @ X1 @ X2))) => (($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0))) & ((X0 @ (sK3 @ X0) @ (sK2 @ X0)) = $true) & ($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0)))))),
% 1.38/1.23 introduced(definition,[],[choice_axiom])).
% 1.38/1.23 thf(f12,plain,(
% 1.38/1.23 ! [X0 : a > a > $o] : (? [X1 : a,X2 : a,X3 : a] : (($true = (X0 @ X1 @ X3)) & ($true = (X0 @ X3 @ X2)) & ($true != (X0 @ X1 @ X2))) | ($true != (sP0 @ X0)))),
% 1.38/1.23 inference(rectify,[status(thm)],[f11])).
% 1.38/1.23 thf(f11,plain,(
% 1.38/1.23 ! [X3 : a > a > $o] : (? [X7 : a,X8 : a,X9 : a] : (($true = (X3 @ X7 @ X9)) & ($true = (X3 @ X9 @ X8)) & ((X3 @ X7 @ X8) != $true)) | ((sP0 @ X3) != $true))),
% 1.38/1.23 inference(nnf_transformation,[status(thm)],[f9])).
% 1.38/1.23 thf(f9,plain,(
% 1.38/1.23 ! [X3 : a > a > $o] : (? [X7 : a,X8 : a,X9 : a] : (($true = (X3 @ X7 @ X9)) & ($true = (X3 @ X9 @ X8)) & ((X3 @ X7 @ X8) != $true)) | ~((sP0 @ X3) = $true))),
% 1.38/1.23 introduced(definition,[new_symbols(naming,[=])],[predicate_definition_introduction])).
% 1.38/1.23 thf(f658,plain,(
% 1.38/1.23 ($true != (sK7 @ (sK3 @ sK7) @ (sK2 @ sK7))) | (~spl11_1 | ~spl11_2)),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f657,f57])).
% 1.38/1.23 thf(f657,plain,(
% 1.38/1.23 ($true != (sP0 @ sK7)) | ($true != (sK7 @ (sK3 @ sK7) @ (sK2 @ sK7))) | ~spl11_2),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f653])).
% 1.38/1.23 thf(f653,plain,(
% 1.38/1.23 ($true != $true) | ($true != (sP0 @ sK7)) | ($true != (sK7 @ (sK3 @ sK7) @ (sK2 @ sK7))) | ~spl11_2),
% 1.38/1.23 inference(superposition,[status(thm)],[f61,f23])).
% 1.38/1.23 thf(f23,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (($true = (X0 @ (sK1 @ X0) @ (sK3 @ X0))) | ($true != (sP0 @ X0))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f14])).
% 1.38/1.23 thf(f61,plain,(
% 1.38/1.23 ( ! [X0 : a] : (($true != (sK7 @ (sK1 @ sK7) @ X0)) | ($true != (sK7 @ X0 @ (sK2 @ sK7)))) ) | ~spl11_2),
% 1.38/1.23 inference(avatar_component_clause,[status(thm)],[f60])).
% 1.38/1.23 thf(f60,definition,(
% 1.38/1.23 spl11_2 <=> ! [X0 : a] : (($true != (sK7 @ X0 @ (sK2 @ sK7))) | ($true != (sK7 @ (sK1 @ sK7) @ X0)))),
% 1.38/1.23 introduced(definition,[new_symbols(naming,[spl11_2])],[avatar_definition])).
% 1.38/1.23 thf(f605,plain,(
% 1.38/1.23 spl11_1),
% 1.38/1.23 inference(avatar_contradiction_clause,[status(thm)],[f604])).
% 1.38/1.23 thf(f604,plain,(
% 1.38/1.23 $false | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f603,f58])).
% 1.38/1.23 thf(f58,plain,(
% 1.38/1.23 ($true != (sP0 @ sK7)) | spl11_1),
% 1.38/1.23 inference(avatar_component_clause,[status(thm)],[f56])).
% 1.38/1.23 thf(f603,plain,(
% 1.38/1.23 ($true = (sP0 @ sK7)) | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f602,f29])).
% 1.38/1.23 thf(f29,plain,(
% 1.38/1.23 ((sK7 @ sK4 @ sK5) != $true)),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f20,plain,(
% 1.38/1.23 (((sK7 @ sK4 @ sK5) != $true) & ! [X4 : a,X5 : a,X6 : a] : (($true != (sK7 @ X4 @ X5)) | ($true = (sK7 @ X6 @ X5)) | ($true != (sK7 @ X6 @ X4))) & ! [X7 : a,X8 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK6 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ((sK7 @ X8 @ X7) = $true))) & ! [X11 : a > a > $o] : ((((X11 @ (sK9 @ X11) @ (sK8 @ X11)) != $true) & (($true = (sK6 @ (sK10 @ X11))) & ($true = (sK10 @ X11 @ (sK9 @ X11) @ (sK8 @ X11))))) | ($true = (sP0 @ X11)) | ($true = (X11 @ sK4 @ sK5)))),
% 1.38/1.23 inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f15,f19,f18,f17,f16])).
% 1.38/1.23 thf(f16,plain,(
% 1.38/1.23 ? [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (? [X3 : a > a > $o] : (($true != (X3 @ X0 @ X1)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ($true = (X3 @ X6 @ X5)) | ((X3 @ X6 @ X4) != $true)) & ! [X7 : a,X8 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (((X2 @ X10) != $true) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ($true = (X3 @ X8 @ X7)))) & ! [X11 : a > a > $o] : (? [X12 : a,X13 : a] : (($true != (X11 @ X13 @ X12)) & ? [X14 : a > a > $o] : (($true = (X2 @ X14)) & ($true = (X14 @ X13 @ X12)))) | ($true = (sP0 @ X11)) | ($true = (X11 @ X0 @ X1)))) => (? [X3 : a > a > $o] : (($true != (X3 @ sK4 @ sK5)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ($true = (X3 @ X6 @ X5)) | ((X3 @ X6 @ X4) != $true)) & ! [X8 : a,X7 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK6 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ($true = (X3 @ X8 @ X7)))) & ! [X11 : a > a > $o] : (? [X13 : a,X12 : a] : (($true != (X11 @ X13 @ X12)) & ? [X14 : a > a > $o] : (($true = (sK6 @ X14)) & ($true = (X14 @ X13 @ X12)))) | ($true = (sP0 @ X11)) | ($true = (X11 @ sK4 @ sK5))))),
% 1.38/1.23 introduced(definition,[],[choice_axiom])).
% 1.38/1.23 thf(f17,plain,(
% 1.38/1.23 ? [X3 : a > a > $o] : (($true != (X3 @ sK4 @ sK5)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ($true = (X3 @ X6 @ X5)) | ((X3 @ X6 @ X4) != $true)) & ! [X8 : a,X7 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK6 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ($true = (X3 @ X8 @ X7)))) => (((sK7 @ sK4 @ sK5) != $true) & ! [X6 : a,X5 : a,X4 : a] : (($true != (sK7 @ X4 @ X5)) | ($true = (sK7 @ X6 @ X5)) | ($true != (sK7 @ X6 @ X4))) & ! [X8 : a,X7 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (($true != (sK6 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ((sK7 @ X8 @ X7) = $true)))),
% 1.38/1.23 introduced(definition,[],[choice_axiom])).
% 1.38/1.23 thf(f18,plain,(
% 1.38/1.23 ! [X11 : a > a > $o] : (? [X13 : a,X12 : a] : (($true != (X11 @ X13 @ X12)) & ? [X14 : a > a > $o] : (($true = (sK6 @ X14)) & ($true = (X14 @ X13 @ X12)))) => (((X11 @ (sK9 @ X11) @ (sK8 @ X11)) != $true) & ? [X14 : a > a > $o] : (($true = (sK6 @ X14)) & ($true = (X14 @ (sK9 @ X11) @ (sK8 @ X11))))))),
% 1.38/1.23 introduced(definition,[],[choice_axiom])).
% 1.38/1.23 thf(f19,plain,(
% 1.38/1.23 ! [X11 : a > a > $o] : (? [X14 : a > a > $o] : (($true = (sK6 @ X14)) & ($true = (X14 @ (sK9 @ X11) @ (sK8 @ X11)))) => (($true = (sK6 @ (sK10 @ X11))) & ($true = (sK10 @ X11 @ (sK9 @ X11) @ (sK8 @ X11)))))),
% 1.38/1.23 introduced(definition,[],[choice_axiom])).
% 1.38/1.23 thf(f15,plain,(
% 1.38/1.23 ? [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (? [X3 : a > a > $o] : (($true != (X3 @ X0 @ X1)) & ! [X4 : a,X5 : a,X6 : a] : (((X3 @ X4 @ X5) != $true) | ($true = (X3 @ X6 @ X5)) | ((X3 @ X6 @ X4) != $true)) & ! [X7 : a,X8 : a] : (! [X9 : a > a > $o] : (! [X10 : a > a > $o] : (((X2 @ X10) != $true) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9)) | ($true != (X9 @ X8 @ X7))) | ($true = (X3 @ X8 @ X7)))) & ! [X11 : a > a > $o] : (? [X12 : a,X13 : a] : (($true != (X11 @ X13 @ X12)) & ? [X14 : a > a > $o] : (($true = (X2 @ X14)) & ($true = (X14 @ X13 @ X12)))) | ($true = (sP0 @ X11)) | ($true = (X11 @ X0 @ X1))))),
% 1.38/1.23 inference(rectify,[status(thm)],[f10])).
% 1.38/1.23 thf(f10,plain,(
% 1.38/1.23 ? [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (? [X10 : a > a > $o] : (($true != (X10 @ X0 @ X1)) & ! [X15 : a,X16 : a,X17 : a] : (($true != (X10 @ X15 @ X16)) | ($true = (X10 @ X17 @ X16)) | ($true != (X10 @ X17 @ X15))) & ! [X11 : a,X12 : a] : (! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X2 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11))) | ($true = (X10 @ X12 @ X11)))) & ! [X3 : a > a > $o] : (? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) & ? [X6 : a > a > $o] : (((X2 @ X6) = $true) & ($true = (X6 @ X5 @ X4)))) | ((sP0 @ X3) = $true) | ($true = (X3 @ X0 @ X1))))),
% 1.38/1.23 inference(definition_folding,[status(thm)],[f8,f9])).
% 1.38/1.23 thf(f8,plain,(
% 1.38/1.23 ? [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (? [X10 : a > a > $o] : (($true != (X10 @ X0 @ X1)) & ! [X15 : a,X16 : a,X17 : a] : (($true != (X10 @ X15 @ X16)) | ($true = (X10 @ X17 @ X16)) | ($true != (X10 @ X17 @ X15))) & ! [X11 : a,X12 : a] : (! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X2 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11))) | ($true = (X10 @ X12 @ X11)))) & ! [X3 : a > a > $o] : (? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) & ? [X6 : a > a > $o] : (((X2 @ X6) = $true) & ($true = (X6 @ X5 @ X4)))) | ? [X7 : a,X8 : a,X9 : a] : (($true = (X3 @ X7 @ X9)) & ($true = (X3 @ X9 @ X8)) & ((X3 @ X7 @ X8) != $true)) | ($true = (X3 @ X0 @ X1))))),
% 1.38/1.23 inference(flattening,[status(thm)],[f7])).
% 1.38/1.23 thf(f7,plain,(
% 1.38/1.23 ? [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (? [X10 : a > a > $o] : (($true != (X10 @ X0 @ X1)) & (! [X11 : a,X12 : a] : (! [X13 : a > a > $o] : (! [X14 : a > a > $o] : (($true != (X2 @ X14)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X13)) | ($true != (X13 @ X12 @ X11))) | ($true = (X10 @ X12 @ X11))) & ! [X15 : a,X16 : a,X17 : a] : (($true = (X10 @ X17 @ X16)) | (($true != (X10 @ X17 @ X15)) | ($true != (X10 @ X15 @ X16)))))) & ! [X3 : a > a > $o] : (($true = (X3 @ X0 @ X1)) | (? [X7 : a,X8 : a,X9 : a] : (((X3 @ X7 @ X8) != $true) & (($true = (X3 @ X9 @ X8)) & ($true = (X3 @ X7 @ X9)))) | ? [X4 : a,X5 : a] : (((X3 @ X5 @ X4) != $true) & ? [X6 : a > a > $o] : (((X2 @ X6) = $true) & ($true = (X6 @ X5 @ X4)))))))),
% 1.38/1.23 inference(ennf_transformation,[status(thm)],[f6])).
% 1.38/1.23 thf(f6,plain,(
% 1.38/1.23 ~! [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (! [X3 : a > a > $o] : ((! [X7 : a,X8 : a,X9 : a] : ((($true = (X3 @ X9 @ X8)) & ($true = (X3 @ X7 @ X9))) => ((X3 @ X7 @ X8) = $true)) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : (((X2 @ X6) = $true) & ($true = (X6 @ X5 @ X4))) => ((X3 @ X5 @ X4) = $true))) => ($true = (X3 @ X0 @ X1))) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : (($true = (X13 @ X12 @ X11)) & ? [X14 : a > a > $o] : (($true = (X2 @ X14)) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) = X13))) => ($true = (X10 @ X12 @ X11))) & ! [X15 : a,X16 : a,X17 : a] : ((($true = (X10 @ X17 @ X15)) & ($true = (X10 @ X15 @ X16))) => ($true = (X10 @ X17 @ X16)))) => ($true = (X10 @ X0 @ X1))))),
% 1.38/1.23 inference(rectify,[status(thm)],[f5])).
% 1.38/1.23 thf(f5,plain,(
% 1.38/1.23 ~! [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (! [X3 : a > a > $o] : ((! [X7 : a,X8 : a,X9 : a] : ((($true = (X3 @ X9 @ X8)) & ($true = (X3 @ X7 @ X9))) => ((X3 @ X7 @ X8) = $true)) & ! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : (((X2 @ X6) = $true) & ($true = (X6 @ X5 @ X4))) => ((X3 @ X5 @ X4) = $true))) => ($true = (X3 @ X0 @ X1))) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : (($true = (X13 @ X12 @ X11)) & ? [X14 : a > a > $o] : (($true = (X2 @ X14)) & ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X14 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) = X13))) => ($true = (X10 @ X12 @ X11))) & ! [X23 : a,X24 : a,X25 : a] : ((($true = (X10 @ X23 @ X24)) & ((X10 @ X25 @ X23) = $true)) => ($true = (X10 @ X25 @ X24)))) => ($true = (X10 @ X0 @ X1))))),
% 1.38/1.23 inference(fool_elimination,[status(thm)],[f4])).
% 1.38/1.23 thf(f4,plain,(
% 1.38/1.23 ~! [X0 : a,X1 : a,X2 : (a > a > $o) > $o] : (! [X3 : a > a > $o] : ((! [X4 : a,X5 : a] : (? [X6 : a > a > $o] : ((X6 @ X5 @ X4) & (X2 @ X6)) => (X3 @ X5 @ X4)) & ! [X7 : a,X8 : a,X9 : a] : (((X3 @ X7 @ X9) & (X3 @ X9 @ X8)) => (X3 @ X7 @ X8))) => (X3 @ X0 @ X1)) => ! [X10 : a > a > $o] : ((! [X11 : a,X12 : a] : (? [X13 : a > a > $o] : ((X13 @ X12 @ X11) & ? [X14 : a > a > $o] : ((X2 @ X14) & (X13 = (^[X15 : a, X16 : a] : (! [X17 : a > a > $o] : ((! [X18 : a,X19 : a,X20 : a] : (((X17 @ X19 @ X18) & (X17 @ X20 @ X19)) => (X17 @ X20 @ X18)) & ! [X21 : a,X22 : a] : ((X14 @ X22 @ X21) => (X17 @ X22 @ X21))) => (X17 @ X15 @ X16))))))) => (X10 @ X12 @ X11)) & ! [X23 : a,X24 : a,X25 : a] : (((X10 @ X23 @ X24) & (X10 @ X25 @ X23)) => (X10 @ X25 @ X24))) => (X10 @ X0 @ X1)))),
% 1.38/1.23 inference(rectify,[status(thm)],[f2])).
% 1.38/1.23 thf(f2,negated_conjecture,(
% 1.38/1.23 ~! [X1 : a,X2 : a,X0 : (a > a > $o) > $o] : (! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & (X0 @ X6)) => (X3 @ X4 @ X5)) & ! [X4 : a,X7 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X7)) => (X3 @ X4 @ X7))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & ? [X8 : a > a > $o] : ((X0 @ X8) & (X6 = (^[X9 : a, X10 : a] : (! [X11 : a > a > $o] : ((! [X7 : a,X13 : a,X12 : a] : (((X11 @ X13 @ X7) & (X11 @ X12 @ X13)) => (X11 @ X12 @ X7)) & ! [X13 : a,X12 : a] : ((X8 @ X12 @ X13) => (X11 @ X12 @ X13))) => (X11 @ X9 @ X10))))))) => (X3 @ X4 @ X5)) & ! [X5 : a,X7 : a,X4 : a] : (((X3 @ X5 @ X7) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X7))) => (X3 @ X1 @ X2)))),
% 1.38/1.23 inference(negated_conjecture,[status(cth)],[f1])).
% 1.38/1.23 thf(f1,conjecture,(
% 1.38/1.23 ! [X1 : a,X2 : a,X0 : (a > a > $o) > $o] : (! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & (X0 @ X6)) => (X3 @ X4 @ X5)) & ! [X4 : a,X7 : a,X5 : a] : (((X3 @ X4 @ X5) & (X3 @ X5 @ X7)) => (X3 @ X4 @ X7))) => (X3 @ X1 @ X2)) => ! [X3 : a > a > $o] : ((! [X5 : a,X4 : a] : (? [X6 : a > a > $o] : ((X6 @ X4 @ X5) & ? [X8 : a > a > $o] : ((X0 @ X8) & (X6 = (^[X9 : a, X10 : a] : (! [X11 : a > a > $o] : ((! [X7 : a,X13 : a,X12 : a] : (((X11 @ X13 @ X7) & (X11 @ X12 @ X13)) => (X11 @ X12 @ X7)) & ! [X13 : a,X12 : a] : ((X8 @ X12 @ X13) => (X11 @ X12 @ X13))) => (X11 @ X9 @ X10))))))) => (X3 @ X4 @ X5)) & ! [X5 : a,X7 : a,X4 : a] : (((X3 @ X5 @ X7) & (X3 @ X4 @ X5)) => (X3 @ X4 @ X7))) => (X3 @ X1 @ X2)))),
% 1.38/1.23 file('/export/starexec/sandbox2/tmp/tmp.POqry0XtiO/DTF2THF_20847.p',cTHM253_A_pme)).
% 1.38/1.23 thf(f602,plain,(
% 1.38/1.23 ((sK7 @ sK4 @ sK5) = $true) | ($true = (sP0 @ sK7)) | spl11_1),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f601])).
% 1.38/1.23 thf(f601,plain,(
% 1.38/1.23 ($true != $true) | ((sK7 @ sK4 @ sK5) = $true) | ($true = (sP0 @ sK7)) | spl11_1),
% 1.38/1.23 inference(superposition,[status(thm)],[f539,f25])).
% 1.38/1.23 thf(f25,plain,(
% 1.38/1.23 ( ! [X11 : a > a > $o] : (($true = (sK6 @ (sK10 @ X11))) | ($true = (sP0 @ X11)) | ($true = (X11 @ sK4 @ sK5))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f539,plain,(
% 1.38/1.23 ($true != (sK6 @ (sK10 @ sK7))) | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f538,f29])).
% 1.38/1.23 thf(f538,plain,(
% 1.38/1.23 ($true != (sK6 @ (sK10 @ sK7))) | ((sK7 @ sK4 @ sK5) = $true) | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f530,f58])).
% 1.38/1.23 thf(f530,plain,(
% 1.38/1.23 ($true != (sK6 @ (sK10 @ sK7))) | ($true = (sP0 @ sK7)) | ((sK7 @ sK4 @ sK5) = $true) | spl11_1),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f507])).
% 1.38/1.23 thf(f507,plain,(
% 1.38/1.23 ($true = $false) | ($true != (sK6 @ (sK10 @ sK7))) | ($true = (sP0 @ sK7)) | ((sK7 @ sK4 @ sK5) = $true) | spl11_1),
% 1.38/1.23 inference(superposition,[status(thm)],[f267,f24])).
% 1.38/1.23 thf(f24,plain,(
% 1.38/1.23 ( ! [X11 : a > a > $o] : (($true = (sK10 @ X11 @ (sK9 @ X11) @ (sK8 @ X11))) | ($true = (sP0 @ X11)) | ($true = (X11 @ sK4 @ sK5))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f267,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (((X0 @ (sK9 @ sK7) @ (sK8 @ sK7)) = $false) | ($true != (sK6 @ X0))) ) | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f266,f29])).
% 1.38/1.23 thf(f266,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (($true != (sK6 @ X0)) | ((X0 @ (sK9 @ sK7) @ (sK8 @ sK7)) = $false) | ((sK7 @ sK4 @ sK5) = $true)) ) | spl11_1),
% 1.38/1.23 inference(subsumption_resolution,[status(thm)],[f265,f58])).
% 1.38/1.23 thf(f265,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (($true != (sK6 @ X0)) | ((sK7 @ sK4 @ sK5) = $true) | ($true = (sP0 @ sK7)) | ((X0 @ (sK9 @ sK7) @ (sK8 @ sK7)) = $false)) )),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f241])).
% 1.38/1.23 thf(f241,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (($true = $false) | ($true != (sK6 @ X0)) | ((X0 @ (sK9 @ sK7) @ (sK8 @ sK7)) = $false) | ((sK7 @ sK4 @ sK5) = $true) | ($true = (sP0 @ sK7))) )),
% 1.38/1.23 inference(superposition,[status(thm)],[f240,f139])).
% 1.38/1.23 thf(f139,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (((X17 @ (sK9 @ X17) @ (sK8 @ X17)) = $false) | ($true = (sP0 @ X17)) | ($true = (X17 @ sK4 @ sK5))) )),
% 1.38/1.23 inference(not_proxy_clausification,[status(thm)],[f138])).
% 1.38/1.23 thf(f138,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (($true = (sP0 @ X17)) | ((~ (X17 @ sK4 @ sK5)) = $false) | ((X17 @ (sK9 @ X17) @ (sK8 @ X17)) = $false)) )),
% 1.38/1.23 inference(not_proxy_clausification,[status(thm)],[f137])).
% 1.38/1.23 thf(f137,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (($true = (~ (X17 @ (sK9 @ X17) @ (sK8 @ X17)))) | ((~ (X17 @ sK4 @ sK5)) = $false) | ($true = (sP0 @ X17))) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f136])).
% 1.38/1.23 thf(f136,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (X17 @ Y0 @ Y1)))))) | ((~ (X17 @ sK4 @ sK5)) = $false) | ($true = (~ (X17 @ (sK9 @ X17) @ (sK8 @ X17))))) )),
% 1.38/1.23 inference(boolean_simplification,[status(thm)],[f135])).
% 1.38/1.23 thf(f135,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (((~ (X17 @ sK4 @ sK5)) = $false) | ($true = (~ (X17 @ (sK9 @ X17) @ (sK8 @ X17)))) | ((sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X17 @ Y0 @ Y1))))))) = $true)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f134])).
% 1.38/1.23 thf(f134,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (((sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X17 @ Y0 @ Y1))))))) = $true) | ((~ (X17 @ sK4 @ sK5)) = $false) | ($true = (~ (X17 @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (X17 @ Y0 @ Y1))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (X17 @ Y0 @ Y1))))))))) )),
% 1.38/1.23 inference(boolean_simplification,[status(thm)],[f133])).
% 1.38/1.23 thf(f133,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (((~ (X17 @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X17 @ Y0 @ Y1))))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X17 @ Y0 @ Y1))))))))) = $true) | ((~ (X17 @ sK4 @ sK5)) = $false) | ((sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (~ (X17 @ Y0 @ Y1))))))) = $true)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f127])).
% 1.38/1.23 thf(f127,plain,(
% 1.38/1.23 ( ! [X17 : a > a > $o] : (($true = ((^[Y0 : a]: ((^[Y1 : a]: (~ (X17 @ Y0 @ Y1))))) @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X17 @ Y2 @ Y3))))) @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X17 @ Y2 @ Y3))))) @ Y0 @ Y1)))))))) | ($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ ((^[Y2 : a]: ((^[Y3 : a]: (~ (X17 @ Y2 @ Y3))))) @ Y0 @ Y1))))))) | (((^[Y0 : a]: ((^[Y1 : a]: (~ (X17 @ Y0 @ Y1))))) @ sK4 @ sK5) = $false)) )),
% 1.38/1.23 inference(primitive_instantiation,[status(thm)],[f76])).
% 1.38/1.23 thf(f76,plain,(
% 1.38/1.23 ( ! [X14 : a > a > $o] : (($true = (X14 @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))))) | ($false = (X14 @ sK4 @ sK5)) | ($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))))) )),
% 1.38/1.23 inference(not_proxy_clausification,[status(thm)],[f75])).
% 1.38/1.23 thf(f75,plain,(
% 1.38/1.23 ( ! [X14 : a > a > $o] : (($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))))) | ($true = (X14 @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))))) | ((~ (X14 @ sK4 @ sK5)) = $true)) )),
% 1.38/1.23 inference(not_proxy_clausification,[status(thm)],[f74])).
% 1.38/1.23 thf(f74,plain,(
% 1.38/1.23 ( ! [X14 : a > a > $o] : (($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))))) | ($true != (~ (X14 @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))))))) | ((~ (X14 @ sK4 @ sK5)) = $true)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f69])).
% 1.38/1.23 thf(f69,plain,(
% 1.38/1.23 ( ! [X14 : a > a > $o] : (($true != ((^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))) @ (sK9 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))) @ (sK8 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))))) | (((^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1))))) @ sK4 @ sK5) = $true) | ($true = (sP0 @ (^[Y0 : a]: ((^[Y1 : a]: (~ (X14 @ Y0 @ Y1)))))))) )),
% 1.38/1.23 inference(primitive_instantiation,[status(thm)],[f26])).
% 1.38/1.23 thf(f26,plain,(
% 1.38/1.23 ( ! [X11 : a > a > $o] : (((X11 @ (sK9 @ X11) @ (sK8 @ X11)) != $true) | ($true = (sP0 @ X11)) | ($true = (X11 @ sK4 @ sK5))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f240,plain,(
% 1.38/1.23 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($true = (sK7 @ X2 @ X1)) | ($true != (sK6 @ X0)) | ((X0 @ X2 @ X1) = $false)) )),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f239])).
% 1.38/1.23 thf(f239,plain,(
% 1.38/1.23 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($true = $false) | ($true = (sK7 @ X2 @ X1)) | ($true != (sK6 @ X0)) | ((X0 @ X2 @ X1) = $false)) )),
% 1.38/1.23 inference(duplicate_literal_removal,[status(thm)],[f227])).
% 1.38/1.23 thf(f227,plain,(
% 1.38/1.23 ( ! [X2 : a,X0 : a > a > $o,X1 : a] : (($true = (sK7 @ X2 @ X1)) | ($true = (sK7 @ X2 @ X1)) | ($true != (sK6 @ X0)) | ((X0 @ X2 @ X1) = $false) | ($true = $false) | ($true != (sK6 @ X0))) )),
% 1.38/1.23 inference(superposition,[status(thm)],[f42,f34])).
% 1.38/1.23 thf(f34,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($false = (sK13 @ X10 @ X7 @ X8 @ X8 @ X7)) | ($true != (sK6 @ X10)) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 1.38/1.23 thf(f33,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ($true != (sK6 @ X10)) | ((((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1) & (sK13 @ X10 @ X7 @ X8 @ Y1 @ Y2)) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2))))))))) => (sK13 @ X10 @ X7 @ X8 @ X8 @ X7)) = $false)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f32])).
% 1.38/1.23 thf(f32,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($true != (sK6 @ X10)) | (((^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((X10 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ X8 @ X7))) @ (sK13 @ X10 @ X7 @ X8)) = $false) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(sigma_clausification,[status(thm)],[f31])).
% 1.38/1.23 thf(f31,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($true != (sK6 @ X10)) | ($true != (!! @ (a > a > $o) @ (^[Y0 : a > a > $o]: (((!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: ((X10 @ Y1 @ Y2) => (Y0 @ Y1 @ Y2)))))) & (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (!! @ a @ (^[Y3 : a]: (((Y0 @ Y1 @ Y2) & (Y0 @ Y2 @ Y3)) => (Y0 @ Y1 @ Y3))))))))) => (Y0 @ X8 @ X7))))) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f30])).
% 1.38/1.23 thf(f30,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | (((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) @ X8 @ X7) != $true) | ($true != (sK6 @ X10))) )),
% 1.38/1.23 inference(equality_resolution,[status(thm)],[f27])).
% 1.38/1.23 thf(f27,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X9 : a > a > $o,X7 : a] : (($true != (sK6 @ X10)) | ((^[Y0 : a]: ((^[Y1 : a]: (!! @ (a > a > $o) @ (^[Y2 : a > a > $o]: (((!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: ((X10 @ Y3 @ Y4) => (Y2 @ Y3 @ Y4)))))) & (!! @ a @ (^[Y3 : a]: (!! @ a @ (^[Y4 : a]: (!! @ a @ (^[Y5 : a]: (((Y2 @ Y3 @ Y4) & (Y2 @ Y4 @ Y5)) => (Y2 @ Y3 @ Y5))))))))) => (Y2 @ Y0 @ Y1))))))) != X9) | ($true != (X9 @ X8 @ X7)) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f42,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : (($true = (sK13 @ X10 @ X7 @ X8 @ X11 @ X12)) | ($true != (sK6 @ X10)) | ((X10 @ X11 @ X12) = $false) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(binary_proxy_clausification,[status(thm)],[f41])).
% 1.38/1.23 thf(f41,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : (($true != (sK6 @ X10)) | ($true = ((X10 @ X11 @ X12) => (sK13 @ X10 @ X7 @ X8 @ X11 @ X12))) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f40])).
% 1.38/1.23 thf(f40,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a,X12 : a] : (($true != (sK6 @ X10)) | ((sK7 @ X8 @ X7) = $true) | (((^[Y0 : a]: ((X10 @ X11 @ Y0) => (sK13 @ X10 @ X7 @ X8 @ X11 @ Y0))) @ X12) = $true)) )),
% 1.38/1.23 inference(pi_clausification,[status(thm)],[f39])).
% 1.38/1.23 thf(f39,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a] : (($true = (!! @ a @ (^[Y0 : a]: ((X10 @ X11 @ Y0) => (sK13 @ X10 @ X7 @ X8 @ X11 @ Y0))))) | ((sK7 @ X8 @ X7) = $true) | ($true != (sK6 @ X10))) )),
% 1.38/1.23 inference(beta_eta_normalization,[status(thm)],[f38])).
% 1.38/1.23 thf(f38,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X11 : a,X8 : a,X7 : a] : (($true != (sK6 @ X10)) | ($true = ((^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1))))) @ X11)) | ((sK7 @ X8 @ X7) = $true)) )),
% 1.38/1.23 inference(pi_clausification,[status(thm)],[f37])).
% 1.38/1.23 thf(f37,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (($true != (sK6 @ X10)) | ((sK7 @ X8 @ X7) = $true) | ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))) = $true)) )),
% 1.38/1.23 inference(binary_proxy_clausification,[status(thm)],[f35])).
% 1.38/1.23 thf(f35,plain,(
% 1.38/1.23 ( ! [X10 : a > a > $o,X8 : a,X7 : a] : (((sK7 @ X8 @ X7) = $true) | ($true = ((!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: ((X10 @ Y0 @ Y1) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1)))))) & (!! @ a @ (^[Y0 : a]: (!! @ a @ (^[Y1 : a]: (!! @ a @ (^[Y2 : a]: (((sK13 @ X10 @ X7 @ X8 @ Y0 @ Y1) & (sK13 @ X10 @ X7 @ X8 @ Y1 @ Y2)) => (sK13 @ X10 @ X7 @ X8 @ Y0 @ Y2)))))))))) | ($true != (sK6 @ X10))) )),
% 1.38/1.23 inference(binary_proxy_clausification,[status(thm)],[f33])).
% 1.38/1.23 thf(f62,plain,(
% 1.38/1.23 ~spl11_1 | spl11_2),
% 1.38/1.23 inference(avatar_split_clause,[status(thm)],[f53,f60,f56])).
% 1.38/1.23 thf(f53,plain,(
% 1.38/1.23 ( ! [X0 : a] : (($true != (sK7 @ X0 @ (sK2 @ sK7))) | ($true != (sP0 @ sK7)) | ($true != (sK7 @ (sK1 @ sK7) @ X0))) )),
% 1.38/1.23 inference(trivial_inequality_removal,[status(thm)],[f52])).
% 1.38/1.23 thf(f52,plain,(
% 1.38/1.23 ( ! [X0 : a] : (($true != (sK7 @ X0 @ (sK2 @ sK7))) | ($true != (sP0 @ sK7)) | ($true != (sK7 @ (sK1 @ sK7) @ X0)) | ($true != $true)) )),
% 1.38/1.23 inference(superposition,[status(thm)],[f21,f28])).
% 1.38/1.23 thf(f28,plain,(
% 1.38/1.23 ( ! [X6 : a,X4 : a,X5 : a] : (($true = (sK7 @ X6 @ X5)) | ($true != (sK7 @ X6 @ X4)) | ($true != (sK7 @ X4 @ X5))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f20])).
% 1.38/1.23 thf(f21,plain,(
% 1.38/1.23 ( ! [X0 : a > a > $o] : (($true != (X0 @ (sK1 @ X0) @ (sK2 @ X0))) | ($true != (sP0 @ X0))) )),
% 1.38/1.23 inference(cnf_transformation,[status(thm)],[f14])).
% 1.38/1.23 % SZS output end Proof for DTF2THF_20847
% 1.38/1.23 % (20949)------------------------------
% 1.38/1.23 % (20949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.38/1.23 % (20949)Termination reason: Refutation
% 1.38/1.23
% 1.38/1.23 % (20949)Memory used [KB]: 6012
% 1.38/1.23 % (20949)Time elapsed: 0.066 s
% 1.38/1.23 % (20949)Instructions burned: 123 (million)
% 1.38/1.23 % (20949)------------------------------
% 1.38/1.23 % (20949)------------------------------
% 1.38/1.23 % (20943)Success in time 0.073 s
%------------------------------------------------------------------------------