%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV303^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:21 AM UTC 2026
% Result : Theorem 0.09s 0.27s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 785 ( 146 equ; 0 cnn)
% Maximal formula atoms : 494 ( 13 avg)
% Number of connectives : 2848 ( 656 ~; 429 |; 368 &;1349 @)
% ( 0 <=>; 46 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 522 ( 522 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 925 ( 503 ^; 63 !; 359 ?; 925 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
cNAT: ( ( $i > $o ) > $o ) > $o ).
thf(decl_24,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_25,type,
cZERO: ( $i > $o ) > $o ).
thf(decl_26,type,
epred1_0: ( ( $i > $o ) > $o ) > $o ).
thf(decl_27,type,
epred2_1: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(decl_28,type,
epred3_0: ( $i > $o ) > $o ).
thf(decl_29,type,
epred4_0: ( ( $i > $o ) > $o ) > $o ).
thf(decl_30,type,
epred5_0: ( $i > $o ) > $o ).
thf(decl_31,type,
epred6_1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_32,type,
epred7_0: ( ( $i > $o ) > $o ) > $o ).
thf(decl_33,type,
epred8_1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(cNAT_def,axiom,
( cNAT
= ( ^ [X3: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5 @ cZERO )
& ! [X6: ( $i > $o ) > $o] :
( ( X5 @ X6 )
=> ( X5 @ ( cSUCC @ X6 ) ) ) )
=> ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2C7hrFs4q8/E---3.1_465862.p',cNAT_def) ).
thf(cZERO_def,axiom,
( cZERO
= ( ^ [X1: $i > $o] :
~ ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2C7hrFs4q8/E---3.1_465862.p',cZERO_def) ).
thf(cSUCC_def,axiom,
( cSUCC
= ( ^ [X3: ( $i > $o ) > $o,X1: $i > $o] :
? [X2: $i] :
( ( X1 @ X2 )
& ( X3
@ ^ [X4: $i] :
( ( X4 != X2 )
& ( X1 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2C7hrFs4q8/E---3.1_465862.p',cSUCC_def) ).
thf(cX6102_C,conjecture,
! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ cZERO )
& ! [X8: ( $i > $o ) > $o] :
( ( cNAT @ X8 )
=> ( ( X7 @ X8 )
=> ( X7 @ ( cSUCC @ X8 ) ) ) ) )
=> ! [X9: ( $i > $o ) > $o] :
( ( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X11: ( $i > $o ) > $o] :
( ( X10 @ X11 )
=> ( X10 @ ( cSUCC @ X11 ) ) ) )
=> ( X10 @ cZERO ) )
& ( X7 @ cZERO )
& ! [X12: ( $i > $o ) > $o] :
( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10 @ ( cSUCC @ X13 ) ) ) )
=> ( X10 @ X12 ) )
& ( X7 @ X12 ) )
=> ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10 @ ( cSUCC @ X13 ) ) ) )
=> ( X10 @ ( cSUCC @ X12 ) ) )
& ( X7 @ ( cSUCC @ X12 ) ) ) ) )
=> ( ( cNAT @ X9 )
& ( X7 @ X9 ) ) )
=> ( X7 @ X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.2C7hrFs4q8/E---3.1_465862.p',cX6102_C) ).
thf(c_0_4,plain,
( cNAT
= ( ^ [Z0: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5
@ ^ [Z1: $i > $o] :
~ ? [X24: $i] : ( Z1 @ X24 ) )
& ! [X6: ( $i > $o ) > $o] :
( ( X5 @ X6 )
=> ( X5
@ ^ [Z1: $i > $o] :
? [X25: $i] :
( ( Z1 @ X25 )
& ( X6
@ ^ [Z2: $i] :
( ( Z2 != X25 )
& ( Z1 @ Z2 ) ) ) ) ) ) )
=> ( X5 @ Z0 ) ) ) ),
inference(fof_simplification,[status(thm)],[cNAT_def]) ).
thf(c_0_5,plain,
( cZERO
= ( ^ [Z0: $i > $o] :
~ ? [X2: $i] : ( Z0 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[cZERO_def]) ).
thf(c_0_6,plain,
( cSUCC
= ( ^ [Z0: ( $i > $o ) > $o,Z1: $i > $o] :
? [X2: $i] :
( ( Z1 @ X2 )
& ( Z0
@ ^ [Z2: $i] :
( ( Z2 != X2 )
& ( Z1 @ Z2 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[cSUCC_def]) ).
thf(c_0_7,negated_conjecture,
~ ! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ cZERO )
& ! [X8: ( $i > $o ) > $o] :
( ( cNAT @ X8 )
=> ( ( X7 @ X8 )
=> ( X7 @ ( cSUCC @ X8 ) ) ) ) )
=> ! [X9: ( $i > $o ) > $o] :
( ( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X11: ( $i > $o ) > $o] :
( ( X10 @ X11 )
=> ( X10 @ ( cSUCC @ X11 ) ) ) )
=> ( X10 @ cZERO ) )
& ( X7 @ cZERO )
& ! [X12: ( $i > $o ) > $o] :
( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10 @ ( cSUCC @ X13 ) ) ) )
=> ( X10 @ X12 ) )
& ( X7 @ X12 ) )
=> ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10 @ cZERO )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10 @ ( cSUCC @ X13 ) ) ) )
=> ( X10 @ ( cSUCC @ X12 ) ) )
& ( X7 @ ( cSUCC @ X12 ) ) ) ) )
=> ( ( cNAT @ X9 )
& ( X7 @ X9 ) ) )
=> ( X7 @ X9 ) ) ),
inference(assume_negation,[status(cth)],[cX6102_C]) ).
thf(c_0_8,plain,
( cNAT
= ( ^ [Z0: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5
@ ^ [Z1: $i > $o] :
~ ? [X24: $i] : ( Z1 @ X24 ) )
& ! [X6: ( $i > $o ) > $o] :
( ( X5 @ X6 )
=> ( X5
@ ^ [Z1: $i > $o] :
? [X25: $i] :
( ( Z1 @ X25 )
& ( X6
@ ^ [Z2: $i] :
( ( Z2 != X25 )
& ( Z1 @ Z2 ) ) ) ) ) ) )
=> ( X5 @ Z0 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]) ).
thf(c_0_9,negated_conjecture,
~ ! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7
@ ^ [Z0: $i > $o] :
~ ? [X26: $i] : ( Z0 @ X26 ) )
& ! [X8: ( $i > $o ) > $o] :
( ! [X27: ( ( $i > $o ) > $o ) > $o] :
( ( ( X27
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) )
& ! [X29: ( $i > $o ) > $o] :
( ( X27 @ X29 )
=> ( X27
@ ^ [Z0: $i > $o] :
? [X30: $i] :
( ( Z0 @ X30 )
& ( X29
@ ^ [Z1: $i] :
( ( Z1 != X30 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X27 @ X8 ) )
=> ( ( X7 @ X8 )
=> ( X7
@ ^ [Z0: $i > $o] :
? [X31: $i] :
( ( Z0 @ X31 )
& ( X8
@ ^ [Z1: $i] :
( ( Z1 != X31 )
& ( Z0 @ Z1 ) ) ) ) ) ) ) )
=> ! [X9: ( $i > $o ) > $o] :
( ( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
& ! [X11: ( $i > $o ) > $o] :
( ( X10 @ X11 )
=> ( X10
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X11
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X10
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) ) )
& ( X7
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
& ! [X12: ( $i > $o ) > $o] :
( ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X13
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X10 @ X12 ) )
& ( X7 @ X12 ) )
=> ( ! [X10: ( ( $i > $o ) > $o ) > $o] :
( ( ( X10
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
& ! [X13: ( $i > $o ) > $o] :
( ( X10 @ X13 )
=> ( X10
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X13
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X10
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( X12
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( X7
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( X12
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) ) ) ) )
=> ( ! [X42: ( ( $i > $o ) > $o ) > $o] :
( ( ( X42
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
& ! [X44: ( $i > $o ) > $o] :
( ( X42 @ X44 )
=> ( X42
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( X44
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X42 @ X9 ) )
& ( X7 @ X9 ) ) )
=> ( X7 @ X9 ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_5]),c_0_6]),c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X47: ( $i > $o ) > $o,X49: ( $i > $o ) > $o,X52: ( $i > $o ) > $o,X54: ( ( $i > $o ) > $o ) > $o,X57: ( $i > $o ) > $o,X58: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X26: $i] : ( Z0 @ X26 ) )
& ( ( epred2_1 @ X47
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) )
| ~ ( epred1_0 @ X47 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X31: $i] :
( ( Z0 @ X31 )
& ( X47
@ ^ [Z1: $i] :
( ( Z1 != X31 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ~ ( epred2_1 @ X47 @ X49 )
| ( epred2_1 @ X47
@ ^ [Z0: $i > $o] :
? [X30: $i] :
( ( Z0 @ X30 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X30 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0 @ X47 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X31: $i] :
( ( Z0 @ X31 )
& ( X47
@ ^ [Z1: $i] :
( ( Z1 != X31 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ~ ( epred2_1 @ X47 @ X47 )
| ~ ( epred1_0 @ X47 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X31: $i] :
( ( Z0 @ X31 )
& ( X47
@ ^ [Z1: $i] :
( ( Z1 != X31 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X32: $i] : ( Z0 @ X32 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X52 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X52
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X54 @ ( epred6_1 @ X54 ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X54
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( epred6_1 @ X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X54
@ ^ [Z0: $i > $o] :
~ ? [X36: $i] : ( Z0 @ X36 ) )
| ( X54 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X38: $i] : ( Z0 @ X38 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X57 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X39: $i] :
( ( Z0 @ X39 )
& ( X57
@ ^ [Z1: $i] :
( ( Z1 != X39 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( X58 @ ( epred8_1 @ X58 ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ~ ( X58
@ ^ [Z0: $i > $o] :
? [X45: $i] :
( ( Z0 @ X45 )
& ( epred8_1 @ X58
@ ^ [Z1: $i] :
( ( Z1 != X45 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X58
@ ^ [Z0: $i > $o] :
~ ? [X43: $i] : ( Z0 @ X43 ) )
| ( X58 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X40: $i] :
( ( Z0 @ X40 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X40 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X41: $i] :
( ( Z0 @ X41 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X41 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X34: $i] : ( Z0 @ X34 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) ) )
& ~ ( epred1_0 @ epred3_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])])]) ).
thf(c_0_11,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( X5 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X60: $i] : ( Z0 @ X60 ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X61: $i] :
( ( Z0 @ X61 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X61 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X62: $i] : ( Z0 @ X62 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X63: $i] : ( Z0 @ X63 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_12,negated_conjecture,
( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X64: $i] : ( Z0 @ X64 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
~ ( epred1_0 @ epred3_0 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( X5 @ ( epred6_1 @ X5 ) )
| ( X5 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X65: $i] : ( Z0 @ X65 ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X66: $i] : ( Z0 @ X66 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X67: $i] : ( Z0 @ X67 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X68: $i] : ( Z0 @ X68 ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X69: $i] :
( ( Z0 @ X69 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X69 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X70: $i] :
( ( Z0 @ X70 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X70 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X71: $i] : ( Z0 @ X71 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X72: $i] : ( Z0 @ X72 ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X73: $i] : ( Z0 @ X73 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X74: $i] :
( ( Z0 @ X74 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X74 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X75: $i] : ( Z0 @ X75 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_17,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X76: $i] :
( ( Z0 @ X76 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X76 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X77: $i] : ( Z0 @ X77 ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X78: $i] : ( Z0 @ X78 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X79: $i] : ( Z0 @ X79 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X80: $i] : ( Z0 @ X80 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X81: $i] :
( ( Z0 @ X81 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X81 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X82: $i] : ( Z0 @ X82 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( X5 @ ( epred6_1 @ X5 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X83: $i] : ( Z0 @ X83 ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X84: $i] : ( Z0 @ X84 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X85: $i] : ( Z0 @ X85 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_20,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X86: $i] : ( Z0 @ X86 ) )
| ( X5 @ ( epred6_1 @ X5 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X87: $i] : ( Z0 @ X87 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_12])]),c_0_13]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X88: $i] : ( Z0 @ X88 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X89: $i] : ( Z0 @ X89 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X90: $i] :
( ( Z0 @ X90 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X90 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X91: $i] :
( ( Z0 @ X91 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X91 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X92: $i] : ( Z0 @ X92 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X93: $i] : ( Z0 @ X93 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_23,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X94: $i] : ( Z0 @ X94 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X95: $i] :
( ( Z0 @ X95 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X95 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X96: $i] :
( ( Z0 @ X96 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X96 )
& ( Z0 @ Z1 ) ) ) ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12])]),c_0_13]) ).
thf(c_0_24,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X97: $i] :
( ( Z0 @ X97 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X97 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X98: $i] : ( Z0 @ X98 ) )
| ~ ( epred7_0 @ X3 )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X99: $i] :
( ( Z0 @ X99 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X99 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X100: $i] : ( Z0 @ X100 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X101: $i] : ( Z0 @ X101 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X102: $i] :
( ( Z0 @ X102 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X102 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X103: $i] : ( Z0 @ X103 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X104: $i] : ( Z0 @ X104 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_26,negated_conjecture,
( ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X105: $i] : ( Z0 @ X105 ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X106: $i] : ( Z0 @ X106 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X107: $i] :
( ( Z0 @ X107 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X107 )
& ( Z0 @ Z1 ) ) ) ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12])]),c_0_13]) ).
thf(c_0_27,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X108: $i] :
( ( Z0 @ X108 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X108 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X109: $i] : ( Z0 @ X109 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12])]),c_0_13]),c_0_18]) ).
thf(c_0_28,negated_conjecture,
! [X6: ( $i > $o ) > $o,X3: ( $i > $o ) > $o] :
( ( epred2_1 @ X3
@ ^ [Z0: $i > $o] :
? [X110: $i] :
( ( Z0 @ X110 )
& ( X6
@ ^ [Z1: $i] :
( ( Z1 != X110 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X111: $i] :
( ( Z0 @ X111 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X111 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred2_1 @ X3 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_29,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( X5 @ ( epred6_1 @ X5 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X112: $i] : ( Z0 @ X112 ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_12])]),c_0_13]),c_0_20]) ).
thf(c_0_30,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred2_1 @ X3
@ ^ [Z0: $i > $o] :
~ ? [X113: $i] : ( Z0 @ X113 ) )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X114: $i] :
( ( Z0 @ X114 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X114 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X115: $i] : ( Z0 @ X115 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X116: $i] : ( Z0 @ X116 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_32,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X117: $i] : ( Z0 @ X117 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_12])]),c_0_13]) ).
thf(c_0_33,negated_conjecture,
( ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X118: $i] :
( ( Z0 @ X118 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X118 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X119: $i] :
( ( Z0 @ X119 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X119 )
& ( Z0 @ Z1 ) ) ) ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_12])]),c_0_13]),c_0_23]) ).
thf(c_0_34,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred7_0
@ ^ [Z0: $i > $o] :
? [X120: $i] :
( ( Z0 @ X120 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X120 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X121: $i] : ( Z0 @ X121 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X122: $i] :
( ( Z0 @ X122 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X122 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_12])]),c_0_13]) ).
thf(c_0_35,negated_conjecture,
( ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X123: $i] : ( Z0 @ X123 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X124: $i] :
( ( Z0 @ X124 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X124 )
& ( Z0 @ Z1 ) ) ) ) ) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_12])]),c_0_13]),c_0_26]) ).
thf(c_0_36,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred1_0
@ ^ [Z0: $i > $o] :
? [X125: $i] :
( ( Z0 @ X125 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X125 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred2_1 @ X3 @ epred5_0 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]) ).
thf(c_0_37,negated_conjecture,
epred1_0 @ epred5_0,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_12])]),c_0_13]),c_0_32]) ).
thf(c_0_38,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X126: $i] : ( Z0 @ X126 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X127: $i] :
( ( Z0 @ X127 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X127 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_39,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred1_0
@ ^ [Z0: $i > $o] :
? [X128: $i] :
( ( Z0 @ X128 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X128 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred2_1 @ X3 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_40,negated_conjecture,
( ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X129: $i] : ( Z0 @ X129 ) )
| ( epred2_1 @ epred5_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
thf(c_0_41,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X130: $i] : ( Z0 @ X130 ) )
| ( epred2_1 @ epred5_0 @ epred5_0 )
| ~ ( epred7_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_36]),c_0_37])]) ).
thf(c_0_42,negated_conjecture,
( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X131: $i] : ( Z0 @ X131 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_37])]),c_0_35]) ).
thf(c_0_43,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X132: $i] : ( Z0 @ X132 ) )
| ~ ( epred7_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_41]),c_0_37])]),c_0_38]) ).
thf(c_0_44,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X133: $i] : ( Z0 @ X133 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X134: $i] :
( ( Z0 @ X134 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X134 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_42])]),c_0_43]) ).
thf(c_0_45,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X135: $i] : ( Z0 @ X135 ) )
| ( epred2_1 @ epred5_0 @ epred5_0 )
| ~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_36]),c_0_37])]) ).
thf(c_0_46,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X136: $i] : ( Z0 @ X136 ) )
| ~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_45]),c_0_37])]),c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X137: $i] :
( ( Z0 @ X137 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X137 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ X3 )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X138: $i] :
( ( Z0 @ X138 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X138 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X139: $i] : ( Z0 @ X139 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X140: $i] : ( Z0 @ X140 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_48,negated_conjecture,
( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X141: $i] : ( Z0 @ X141 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_29]),c_0_42])]),c_0_43]) ).
thf(c_0_49,negated_conjecture,
! [X3: ( $i > $o ) > $o] :
( ( epred7_0
@ ^ [Z0: $i > $o] :
? [X142: $i] :
( ( Z0 @ X142 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X142 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X143: $i] :
( ( Z0 @ X143 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X143 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_12]),c_0_48])]),c_0_13]) ).
thf(c_0_50,negated_conjecture,
( ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X144: $i] :
( ( Z0 @ X144 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X144 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_49]) ).
thf(c_0_51,negated_conjecture,
( ( epred2_1 @ epred5_0 @ epred5_0 )
| ~ ( epred7_0 @ epred5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_36]),c_0_37])]) ).
thf(c_0_52,negated_conjecture,
~ ( epred7_0 @ epred5_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_51]),c_0_37])]),c_0_50]) ).
thf(c_0_53,negated_conjecture,
( ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X145: $i] :
( ( Z0 @ X145 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X145 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_49]),c_0_42])]),c_0_52]) ).
thf(c_0_54,negated_conjecture,
( ( epred2_1 @ epred5_0 @ epred5_0 )
| ~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_36]),c_0_37])]) ).
thf(c_0_55,negated_conjecture,
~ ( epred7_0 @ ( epred6_1 @ epred7_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_54]),c_0_37])]),c_0_53]) ).
thf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_29]),c_0_42])]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV303^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 15:28:07 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.2C7hrFs4q8/E---3.1_465862.p
% 0.09/0.27 % Version: 3.5.1-ho
% 0.09/0.27 % Preprocessing class: HSMSSMSSSLSNHHA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting sh3 with 1500s (5) cores
% 0.09/0.27 % Starting lpo8_s with 300s (1) cores
% 0.09/0.27 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.09/0.27 % Starting pre_casc_5 with 300s (1) cores
% 0.09/0.27 % lpo6_lambda_fix with pid 465877 completed with status 0
% 0.09/0.27 % Result found by lpo6_lambda_fix
% 0.09/0.27 % Preprocessing class: HSMSSMSSSLSNHHA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting sh3 with 1500s (5) cores
% 0.09/0.27 % Starting lpo8_s with 300s (1) cores
% 0.09/0.27 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGUNF-FFLF00-DHHFMMBN
% 0.09/0.27 % partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.09/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27 % SubtermCWHack with pid 465880 completed with status 0
% 0.09/0.27 % Result found by SubtermCWHack
% 0.09/0.27 % Preprocessing class: HSMSSMSSSLSNHHA.
% 0.09/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.27 % Starting sh3 with 1500s (5) cores
% 0.09/0.27 % Starting lpo8_s with 300s (1) cores
% 0.09/0.27 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.09/0.27 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.09/0.27 % No SInE strategy applied
% 0.09/0.27 % Search class: HGUNF-FFLF00-DHHFMMBN
% 0.09/0.27 % partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.09/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.27 % Preprocessing time : 0.002 s
% 0.09/0.27
% 0.09/0.27 % Proof found!
% 0.09/0.27 % SZS status Theorem
% 0.09/0.27 % SZS output start CNFRefutation
% See solution above
% 0.09/0.27 % Parsed axioms : 7
% 0.09/0.27 % Removed by relevancy pruning/SinE : 0
% 0.09/0.27 % Initial clauses : 62
% 0.09/0.27 % Removed in clause preprocessing : 3
% 0.09/0.27 % Initial clauses in saturation : 59
% 0.09/0.27 % Processed clauses : 54
% 0.09/0.27 % ...of these trivial : 10
% 0.09/0.27 % ...subsumed : 5
% 0.09/0.27 % ...remaining for further processing : 39
% 0.09/0.27 % Other redundant clauses eliminated : 0
% 0.09/0.27 % Clauses deleted for lack of memory : 0
% 0.09/0.27 % Backward-subsumed : 18
% 0.09/0.27 % Backward-rewritten : 6
% 0.09/0.27 % Generated clauses : 29
% 0.09/0.27 % ...of the previous two non-redundant : 24
% 0.09/0.27 % ...aggressively subsumed : 0
% 0.09/0.27 % Contextual simplify-reflections : 14
% 0.09/0.27 % Paramodulations : 29
% 0.09/0.27 % Factorizations : 0
% 0.09/0.27 % NegExts : 0
% 0.09/0.27 % Equation resolutions : 0
% 0.09/0.27 % Disequality decompositions : 0
% 0.09/0.27 % Total rewrite steps : 71
% 0.09/0.27 % ...of those cached : 67
% 0.09/0.27 % Propositional unsat checks : 0
% 0.09/0.27 % Propositional check models : 0
% 0.09/0.27 % Propositional check unsatisfiable : 0
% 0.09/0.27 % Propositional clauses : 0
% 0.09/0.27 % Propositional clauses after purity: 0
% 0.09/0.27 % Propositional unsat core size : 0
% 0.09/0.27 % Propositional preprocessing time : 0.000
% 0.09/0.27 % Propositional encoding time : 0.000
% 0.09/0.27 % Propositional solver time : 0.000
% 0.09/0.27 % Success case prop preproc time : 0.000
% 0.09/0.27 % Success case prop encoding time : 0.000
% 0.09/0.27 % Success case prop solver time : 0.000
% 0.09/0.27 % Current number of processed clauses : 15
% 0.09/0.27 % Positive orientable unit clauses : 4
% 0.09/0.27 % Positive unorientable unit clauses: 0
% 0.09/0.27 % Negative unit clauses : 3
% 0.09/0.27 % Non-unit-clauses : 8
% 0.09/0.27 % Current number of unprocessed clauses: 28
% 0.09/0.27 % ...number of literals in the above : 213
% 0.09/0.27 % Current number of archived formulas : 0
% 0.09/0.27 % Current number of archived clauses : 24
% 0.09/0.27 % Clause-clause subsumption calls (NU) : 131
% 0.09/0.27 % Rec. Clause-clause subsumption calls : 111
% 0.09/0.27 % Non-unit clause-clause subsumptions : 30
% 0.09/0.27 % Unit Clause-clause subsumption calls : 27
% 0.09/0.27 % Rewrite failures with RHS unbound : 0
% 0.09/0.27 % BW rewrite match attempts : 3
% 0.09/0.27 % BW rewrite match successes : 3
% 0.09/0.27 % Condensation attempts : 0
% 0.09/0.27 % Condensation successes : 0
% 0.09/0.27 % Termbank termtop insertions : 16305
% 0.09/0.27 % Search garbage collected termcells : 1347
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.010 s
% 0.09/0.27 % System time : 0.003 s
% 0.09/0.27 % Total time : 0.013 s
% 0.09/0.27 % Maximum resident set size: 3904 pages
% 0.09/0.27
% 0.09/0.27 % -------------------------------------------------
% 0.09/0.27 % User time : 0.010 s
% 0.09/0.27 % System time : 0.008 s
% 0.09/0.27 % Total time : 0.017 s
% 0.09/0.27 % Maximum resident set size: 4608 pages
% 0.09/0.27 % E exiting
%------------------------------------------------------------------------------