%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV302^5 : 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 : n016.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 0.33s 0.28s
% Output : CNFRefutation 0.33s
% 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 : 779 ( 146 equ; 0 cnn)
% Maximal formula atoms : 494 ( 13 avg)
% Number of connectives : 2806 ( 656 ~; 429 |; 362 &;1325 @)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 492 ( 492 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 1 con; 0-2 aty)
% Number of variables : 913 ( 503 ^; 51 !; 359 ?; 913 :)
% 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.fS0UGOy2Vi/E---3.1_489955.p',cNAT_def) ).
thf(cZERO_def,axiom,
( cZERO
= ( ^ [X1: $i > $o] :
~ ? [X2: $i] : ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fS0UGOy2Vi/E---3.1_489955.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.fS0UGOy2Vi/E---3.1_489955.p',cSUCC_def) ).
thf(cX6102_B,conjecture,
! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ cZERO )
& ! [X8: ( $i > $o ) > $o] :
( ( cNAT @ X8 )
=> ( ( X7 @ X8 )
=> ( X7 @ ( cSUCC @ X8 ) ) ) ) )
=> ! [X9: ( $i > $o ) > $o] :
( ( ( ( cNAT @ cZERO )
& ( X7 @ cZERO )
& ! [X10: ( $i > $o ) > $o] :
( ( ( cNAT @ X10 )
& ( X7 @ X10 ) )
=> ( ( cNAT @ ( cSUCC @ X10 ) )
& ( X7 @ ( cSUCC @ X10 ) ) ) ) )
=> ( ( cNAT @ X9 )
& ( X7 @ X9 ) ) )
=> ( X7 @ X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fS0UGOy2Vi/E---3.1_489955.p',cX6102_B) ).
thf(c_0_4,plain,
( cNAT
= ( ^ [Z0: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5
@ ^ [Z1: $i > $o] :
~ ? [X15: $i] : ( Z1 @ X15 ) )
& ! [X6: ( $i > $o ) > $o] :
( ( X5 @ X6 )
=> ( X5
@ ^ [Z1: $i > $o] :
? [X16: $i] :
( ( Z1 @ X16 )
& ( X6
@ ^ [Z2: $i] :
( ( Z2 != X16 )
& ( 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] :
( ( ( ( cNAT @ cZERO )
& ( X7 @ cZERO )
& ! [X10: ( $i > $o ) > $o] :
( ( ( cNAT @ X10 )
& ( X7 @ X10 ) )
=> ( ( cNAT @ ( cSUCC @ X10 ) )
& ( X7 @ ( cSUCC @ X10 ) ) ) ) )
=> ( ( cNAT @ X9 )
& ( X7 @ X9 ) ) )
=> ( X7 @ X9 ) ) ),
inference(assume_negation,[status(cth)],[cX6102_B]) ).
thf(c_0_8,plain,
( cNAT
= ( ^ [Z0: ( $i > $o ) > $o] :
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( ( X5
@ ^ [Z1: $i > $o] :
~ ? [X15: $i] : ( Z1 @ X15 ) )
& ! [X6: ( $i > $o ) > $o] :
( ( X5 @ X6 )
=> ( X5
@ ^ [Z1: $i > $o] :
? [X16: $i] :
( ( Z1 @ X16 )
& ( X6
@ ^ [Z2: $i] :
( ( Z2 != X16 )
& ( 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] :
~ ? [X17: $i] : ( Z0 @ X17 ) )
& ! [X8: ( $i > $o ) > $o] :
( ! [X18: ( ( $i > $o ) > $o ) > $o] :
( ( ( X18
@ ^ [Z0: $i > $o] :
~ ? [X19: $i] : ( Z0 @ X19 ) )
& ! [X20: ( $i > $o ) > $o] :
( ( X18 @ X20 )
=> ( X18
@ ^ [Z0: $i > $o] :
? [X21: $i] :
( ( Z0 @ X21 )
& ( X20
@ ^ [Z1: $i] :
( ( Z1 != X21 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X18 @ X8 ) )
=> ( ( X7 @ X8 )
=> ( X7
@ ^ [Z0: $i > $o] :
? [X22: $i] :
( ( Z0 @ X22 )
& ( X8
@ ^ [Z1: $i] :
( ( Z1 != X22 )
& ( Z0 @ Z1 ) ) ) ) ) ) ) )
=> ! [X9: ( $i > $o ) > $o] :
( ( ( ! [X24: ( ( $i > $o ) > $o ) > $o] :
( ( ( X24
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
& ! [X26: ( $i > $o ) > $o] :
( ( X24 @ X26 )
=> ( X24
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X26
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X24
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) ) )
& ( X7
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) )
& ! [X10: ( $i > $o ) > $o] :
( ( ! [X29: ( ( $i > $o ) > $o ) > $o] :
( ( ( X29
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
& ! [X31: ( $i > $o ) > $o] :
( ( X29 @ X31 )
=> ( X29
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( X31
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X29 @ X10 ) )
& ( X7 @ X10 ) )
=> ( ! [X34: ( ( $i > $o ) > $o ) > $o] :
( ( ( X34
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
& ! [X36: ( $i > $o ) > $o] :
( ( X34 @ X36 )
=> ( X34
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X36
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X34
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( X10
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( X7
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( X10
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) ) ) ) )
=> ( ! [X39: ( ( $i > $o ) > $o ) > $o] :
( ( ( X39
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
& ! [X41: ( $i > $o ) > $o] :
( ( X39 @ X41 )
=> ( X39
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( X41
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X39 @ 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,
! [X44: ( $i > $o ) > $o,X46: ( $i > $o ) > $o,X49: ( $i > $o ) > $o,X51: ( ( $i > $o ) > $o ) > $o,X54: ( $i > $o ) > $o,X55: ( ( $i > $o ) > $o ) > $o] :
( ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X17: $i] : ( Z0 @ X17 ) )
& ( ( epred2_1 @ X44
@ ^ [Z0: $i > $o] :
~ ? [X19: $i] : ( Z0 @ X19 ) )
| ~ ( epred1_0 @ X44 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X22: $i] :
( ( Z0 @ X22 )
& ( X44
@ ^ [Z1: $i] :
( ( Z1 != X22 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ~ ( epred2_1 @ X44 @ X46 )
| ( epred2_1 @ X44
@ ^ [Z0: $i > $o] :
? [X21: $i] :
( ( Z0 @ X21 )
& ( X46
@ ^ [Z1: $i] :
( ( Z1 != X21 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0 @ X44 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X22: $i] :
( ( Z0 @ X22 )
& ( X44
@ ^ [Z1: $i] :
( ( Z1 != X22 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ~ ( epred2_1 @ X44 @ X44 )
| ~ ( epred1_0 @ X44 )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X22: $i] :
( ( Z0 @ X22 )
& ( X44
@ ^ [Z1: $i] :
( ( Z1 != X22 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X25: $i] : ( Z0 @ X25 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0 @ X49 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
? [X27: $i] :
( ( Z0 @ X27 )
& ( X49
@ ^ [Z1: $i] :
( ( Z1 != X27 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( X51 @ ( epred6_1 @ X51 ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( X51
@ ^ [Z0: $i > $o] :
? [X32: $i] :
( ( Z0 @ X32 )
& ( epred6_1 @ X51
@ ^ [Z1: $i] :
( ( Z1 != X32 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X51
@ ^ [Z0: $i > $o] :
~ ? [X30: $i] : ( Z0 @ X30 ) )
| ( X51 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X35: $i] : ( Z0 @ X35 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0 @ X54 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
? [X37: $i] :
( ( Z0 @ X37 )
& ( X54
@ ^ [Z1: $i] :
( ( Z1 != X37 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( X55 @ ( epred8_1 @ X55 ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ~ ( X55
@ ^ [Z0: $i > $o] :
? [X42: $i] :
( ( Z0 @ X42 )
& ( epred8_1 @ X55
@ ^ [Z1: $i] :
( ( Z1 != X42 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X55
@ ^ [Z0: $i > $o] :
~ ? [X40: $i] : ( Z0 @ X40 ) )
| ( X55 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X33: $i] :
( ( Z0 @ X33 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X33 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X38: $i] :
( ( Z0 @ X38 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X38 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X23: $i] : ( Z0 @ X23 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X28: $i] : ( Z0 @ X28 ) ) )
& ~ ( 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] :
~ ? [X57: $i] : ( Z0 @ X57 ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X58: $i] :
( ( Z0 @ X58 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X58 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X59: $i] : ( Z0 @ X59 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X60: $i] : ( Z0 @ X60 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_12,negated_conjecture,
( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X61: $i] : ( Z0 @ X61 ) ),
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] :
~ ? [X62: $i] : ( Z0 @ X62 ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X63: $i] : ( Z0 @ X63 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X64: $i] : ( Z0 @ X64 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X65: $i] : ( Z0 @ X65 ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X66: $i] :
( ( Z0 @ X66 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X66 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X67: $i] :
( ( Z0 @ X67 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X67 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X68: $i] : ( Z0 @ X68 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X69: $i] : ( Z0 @ X69 ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X70: $i] : ( Z0 @ X70 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X71: $i] :
( ( Z0 @ X71 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X71 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X72: $i] : ( Z0 @ X72 ) ) ),
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] :
? [X73: $i] :
( ( Z0 @ X73 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X73 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X74: $i] : ( Z0 @ X74 ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X75: $i] : ( Z0 @ X75 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X76: $i] : ( Z0 @ X76 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_18,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X77: $i] : ( Z0 @ X77 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
? [X78: $i] :
( ( Z0 @ X78 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X78 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X79: $i] : ( Z0 @ X79 ) ) ),
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] :
~ ? [X80: $i] : ( Z0 @ X80 ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X81: $i] : ( Z0 @ X81 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X82: $i] : ( Z0 @ X82 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_20,negated_conjecture,
! [X5: ( ( $i > $o ) > $o ) > $o] :
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X83: $i] : ( Z0 @ X83 ) )
| ( X5 @ ( epred6_1 @ X5 ) )
| ( X5 @ epred5_0 )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X84: $i] : ( Z0 @ X84 ) ) ),
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] :
~ ? [X85: $i] : ( Z0 @ X85 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X86: $i] : ( Z0 @ X86 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X87: $i] :
( ( Z0 @ X87 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X87 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X88: $i] :
( ( Z0 @ X88 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X88 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X89: $i] : ( Z0 @ X89 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X90: $i] : ( Z0 @ X90 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_23,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X91: $i] : ( Z0 @ X91 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X92: $i] :
( ( Z0 @ X92 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X92 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X93: $i] :
( ( Z0 @ X93 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X93 )
& ( 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] :
? [X94: $i] :
( ( Z0 @ X94 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X94 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X95: $i] : ( Z0 @ X95 ) )
| ~ ( epred7_0 @ X3 )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X96: $i] :
( ( Z0 @ X96 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X96 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X97: $i] : ( Z0 @ X97 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ epred3_0 )
| ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X98: $i] : ( Z0 @ X98 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X99: $i] :
( ( Z0 @ X99 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X99 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X100: $i] : ( Z0 @ X100 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X101: $i] : ( Z0 @ X101 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_26,negated_conjecture,
( ( epred7_0
@ ^ [Z0: $i > $o] :
~ ? [X102: $i] : ( Z0 @ X102 ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X103: $i] : ( Z0 @ X103 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X104: $i] :
( ( Z0 @ X104 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X104 )
& ( 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] :
? [X105: $i] :
( ( Z0 @ X105 )
& ( epred6_1 @ X5
@ ^ [Z1: $i] :
( ( Z1 != X105 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( X5
@ ^ [Z0: $i > $o] :
~ ? [X106: $i] : ( Z0 @ X106 ) ) ),
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] :
? [X107: $i] :
( ( Z0 @ X107 )
& ( X6
@ ^ [Z1: $i] :
( ( Z1 != X107 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X108: $i] :
( ( Z0 @ X108 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X108 )
& ( 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] :
~ ? [X109: $i] : ( Z0 @ X109 ) ) ),
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] :
~ ? [X110: $i] : ( Z0 @ X110 ) )
| ( epred1_0
@ ^ [Z0: $i > $o] :
? [X111: $i] :
( ( Z0 @ X111 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X111 )
& ( 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] :
~ ? [X112: $i] : ( Z0 @ X112 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X113: $i] : ( Z0 @ X113 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_32,negated_conjecture,
( ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X114: $i] : ( Z0 @ X114 ) )
| ( 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] :
? [X115: $i] :
( ( Z0 @ X115 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X115 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0
@ ^ [Z0: $i > $o] :
? [X116: $i] :
( ( Z0 @ X116 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X116 )
& ( 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] :
? [X117: $i] :
( ( Z0 @ X117 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X117 )
& ( Z0 @ Z1 ) ) ) ) )
| ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X118: $i] : ( Z0 @ X118 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X119: $i] :
( ( Z0 @ X119 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X119 )
& ( 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] :
~ ? [X120: $i] : ( Z0 @ X120 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X121: $i] :
( ( Z0 @ X121 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X121 )
& ( 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] :
? [X122: $i] :
( ( Z0 @ X122 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X122 )
& ( 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] :
~ ? [X123: $i] : ( Z0 @ X123 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X124: $i] :
( ( Z0 @ X124 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X124 )
& ( 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] :
? [X125: $i] :
( ( Z0 @ X125 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X125 )
& ( 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] :
~ ? [X126: $i] : ( Z0 @ X126 ) )
| ( 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] :
~ ? [X127: $i] : ( Z0 @ X127 ) )
| ( 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] :
~ ? [X128: $i] : ( Z0 @ X128 ) ),
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] :
~ ? [X129: $i] : ( Z0 @ X129 ) )
| ~ ( 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] :
~ ? [X130: $i] : ( Z0 @ X130 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X131: $i] :
( ( Z0 @ X131 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X131 )
& ( 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] :
~ ? [X132: $i] : ( Z0 @ X132 ) )
| ( 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] :
~ ? [X133: $i] : ( Z0 @ X133 ) )
| ~ ( 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] :
? [X134: $i] :
( ( Z0 @ X134 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X134 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred7_0 @ X3 )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X135: $i] :
( ( Z0 @ X135 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X135 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X136: $i] : ( Z0 @ X136 ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
~ ? [X137: $i] : ( Z0 @ X137 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_48,negated_conjecture,
( epred4_0
@ ^ [Z0: $i > $o] :
~ ? [X138: $i] : ( Z0 @ X138 ) ),
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] :
? [X139: $i] :
( ( Z0 @ X139 )
& ( X3
@ ^ [Z1: $i] :
( ( Z1 != X139 )
& ( Z0 @ Z1 ) ) ) ) )
| ~ ( epred1_0
@ ^ [Z0: $i > $o] :
? [X140: $i] :
( ( Z0 @ X140 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X140 )
& ( 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] :
? [X141: $i] :
( ( Z0 @ X141 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X141 )
& ( 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] :
? [X142: $i] :
( ( Z0 @ X142 )
& ( epred5_0
@ ^ [Z1: $i] :
( ( Z1 != X142 )
& ( 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
% 0.00/0.03 % Problem : SEV302^5 : TPTP v9.3.1. Bugfixed v6.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.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 15:37:34 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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.fS0UGOy2Vi/E---3.1_489955.p
% 0.33/0.28 % Version: 3.5.1-ho
% 0.33/0.28 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.33/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.28 % Starting sh3l with 300s (1) cores
% 0.33/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.33/0.28 % Starting full_lambda_8 with 300s (1) cores
% 0.33/0.28 % lpo6_lambda_fix with pid 489990 completed with status 0
% 0.33/0.28 % Result found by lpo6_lambda_fix
% 0.33/0.28 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.33/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.28 % Starting sh3l with 300s (1) cores
% 0.33/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.33/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.33/0.28 % No SInE strategy applied
% 0.33/0.28 % Search class: HGUNF-FFLF00-DHHFMMBN
% 0.33/0.28 % partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.33/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.33/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.33/0.28 % SubtermCWHack with pid 489994 completed with status 0
% 0.33/0.28 % Result found by SubtermCWHack
% 0.33/0.28 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.33/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.28 % Starting sh3l with 300s (1) cores
% 0.33/0.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.33/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.33/0.28 % No SInE strategy applied
% 0.33/0.28 % Search class: HGUNF-FFLF00-DHHFMMBN
% 0.33/0.28 % partial match(3): HGUNF-FFMF00-SHHFFMBN
% 0.33/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.33/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.33/0.28 % Preprocessing time : 0.001 s
% 0.33/0.28
% 0.33/0.28 % Proof found!
% 0.33/0.28 % SZS status Theorem
% 0.33/0.28 % SZS output start CNFRefutation
% See solution above
% 0.33/0.28 % Parsed axioms : 7
% 0.33/0.28 % Removed by relevancy pruning/SinE : 0
% 0.33/0.28 % Initial clauses : 62
% 0.33/0.28 % Removed in clause preprocessing : 3
% 0.33/0.28 % Initial clauses in saturation : 59
% 0.33/0.28 % Processed clauses : 54
% 0.33/0.28 % ...of these trivial : 10
% 0.33/0.28 % ...subsumed : 5
% 0.33/0.28 % ...remaining for further processing : 39
% 0.33/0.28 % Other redundant clauses eliminated : 0
% 0.33/0.28 % Clauses deleted for lack of memory : 0
% 0.33/0.28 % Backward-subsumed : 18
% 0.33/0.28 % Backward-rewritten : 6
% 0.33/0.28 % Generated clauses : 29
% 0.33/0.28 % ...of the previous two non-redundant : 24
% 0.33/0.28 % ...aggressively subsumed : 0
% 0.33/0.28 % Contextual simplify-reflections : 14
% 0.33/0.28 % Paramodulations : 29
% 0.33/0.28 % Factorizations : 0
% 0.33/0.28 % NegExts : 0
% 0.33/0.28 % Equation resolutions : 0
% 0.33/0.28 % Disequality decompositions : 0
% 0.33/0.28 % Total rewrite steps : 71
% 0.33/0.28 % ...of those cached : 67
% 0.33/0.28 % Propositional unsat checks : 0
% 0.33/0.28 % Propositional check models : 0
% 0.33/0.28 % Propositional check unsatisfiable : 0
% 0.33/0.28 % Propositional clauses : 0
% 0.33/0.28 % Propositional clauses after purity: 0
% 0.33/0.28 % Propositional unsat core size : 0
% 0.33/0.28 % Propositional preprocessing time : 0.000
% 0.33/0.28 % Propositional encoding time : 0.000
% 0.33/0.28 % Propositional solver time : 0.000
% 0.33/0.28 % Success case prop preproc time : 0.000
% 0.33/0.28 % Success case prop encoding time : 0.000
% 0.33/0.28 % Success case prop solver time : 0.000
% 0.33/0.28 % Current number of processed clauses : 15
% 0.33/0.28 % Positive orientable unit clauses : 4
% 0.33/0.28 % Positive unorientable unit clauses: 0
% 0.33/0.28 % Negative unit clauses : 3
% 0.33/0.28 % Non-unit-clauses : 8
% 0.33/0.28 % Current number of unprocessed clauses: 28
% 0.33/0.28 % ...number of literals in the above : 213
% 0.33/0.28 % Current number of archived formulas : 0
% 0.33/0.28 % Current number of archived clauses : 24
% 0.33/0.28 % Clause-clause subsumption calls (NU) : 131
% 0.33/0.28 % Rec. Clause-clause subsumption calls : 111
% 0.33/0.28 % Non-unit clause-clause subsumptions : 30
% 0.33/0.28 % Unit Clause-clause subsumption calls : 27
% 0.33/0.28 % Rewrite failures with RHS unbound : 0
% 0.33/0.28 % BW rewrite match attempts : 3
% 0.33/0.28 % BW rewrite match successes : 3
% 0.33/0.28 % Condensation attempts : 0
% 0.33/0.28 % Condensation successes : 0
% 0.33/0.28 % Termbank termtop insertions : 16223
% 0.33/0.28 % Search garbage collected termcells : 1326
% 0.33/0.28
% 0.33/0.28 % -------------------------------------------------
% 0.33/0.28 % User time : 0.012 s
% 0.33/0.28 % System time : 0.003 s
% 0.33/0.28 % Total time : 0.015 s
% 0.33/0.28 % Maximum resident set size: 3900 pages
% 0.33/0.28
% 0.33/0.28 % -------------------------------------------------
% 0.33/0.28 % User time : 0.013 s
% 0.33/0.28 % System time : 0.008 s
% 0.33/0.28 % Total time : 0.021 s
% 0.33/0.28 % Maximum resident set size: 4864 pages
% 0.33/0.28 % E exiting
%------------------------------------------------------------------------------