TSTP Solution File: SEV140^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEV140^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:07:51 EDT 2024
% Result : Theorem 3.76s 0.99s
% Output : CNFRefutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 24
% Syntax : Number of formulae : 172 ( 42 unt; 22 typ; 0 def)
% Number of atoms : 2134 ( 0 equ; 0 cnn)
% Maximal formula atoms : 37 ( 14 avg)
% Number of connectives : 9790 ( 197 ~; 887 |; 62 &;8609 @)
% ( 1 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 15 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 966 ( 966 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 21 usr; 3 con; 0-4 aty)
% Number of variables : 489 ( 0 ^ 489 !; 0 ?; 489 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_3: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > $o ).
thf(decl_23,type,
epred2_0: a > a > $o ).
thf(decl_24,type,
epred3_0: a > a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_28,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_29,type,
esk5_1: ( a > a > $o ) > a ).
thf(decl_30,type,
epred4_0: a > a > $o ).
thf(decl_31,type,
esk6_3: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_32,type,
esk7_3: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_33,type,
esk8_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_34,type,
esk9_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_35,type,
esk10_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_36,type,
esk11_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_37,type,
esk12_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_38,type,
esk13_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_39,type,
esk14_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_40,type,
esk15_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_41,type,
esk16_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_42,type,
esk17_4: ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > ( a > a > $o ) > a ).
thf(cTHM250C_pme,conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) )
& ! [X6: a,X7: a,X11: a] :
( ( ( X5 @ X6 @ X7 )
& ( X5 @ X7 @ X11 ) )
=> ( X5 @ X6 @ X11 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) )
& ! [X6: a,X7: a,X11: a] :
( ( ( X5 @ X6 @ X7 )
& ( X5 @ X7 @ X11 ) )
=> ( X5 @ X6 @ X11 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM250C_pme) ).
thf(c_0_1,plain,
! [X1: a > a > $o,X2: a > a > $o,X5: a > a > $o] :
( ( epred1_3 @ X5 @ X2 @ X1 )
<=> ! [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) ) ),
introduced(definition) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > a > $o,X2: a > a > $o,X3: a,X4: a] :
( ! [X5: a > a > $o] :
( ( ( epred1_3 @ X5 @ X2 @ X1 )
& ! [X6: a,X7: a,X11: a] :
( ( ( X5 @ X6 @ X7 )
& ( X5 @ X7 @ X11 ) )
=> ( X5 @ X6 @ X11 ) ) )
=> ( X5 @ X3 @ X4 ) )
=> ! [X5: a > a > $o] :
( ( ! [X6: a,X7: a] :
( ( ( X1 @ X6 @ X7 )
| ( X2 @ X6 @ X7 ) )
=> ( X5 @ X6 @ X7 ) )
& ! [X6: a,X7: a,X11: a] :
( ( ( X5 @ X6 @ X7 )
& ( X5 @ X7 @ X11 ) )
=> ( X5 @ X6 @ X11 ) ) )
=> ( X5 @ X3 @ X4 ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM250C_pme]),c_0_1]) ).
thf(c_0_3,plain,
! [X1: a > a > $o,X2: a > a > $o,X5: a > a > $o] :
( ! [X6: a,X7: a] :
( ( ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X1 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) )
| ! [X8: a > a > $o] :
( ( ! [X9: a,X10: a] :
( ( X2 @ X9 @ X10 )
=> ( X8 @ X9 @ X10 ) )
& ! [X9: a,X10: a,X11: a] :
( ( ( X8 @ X9 @ X10 )
& ( X8 @ X10 @ X11 ) )
=> ( X8 @ X9 @ X11 ) ) )
=> ( X8 @ X6 @ X7 ) ) )
=> ( X5 @ X6 @ X7 ) )
=> ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_4,negated_conjecture,
! [X44: a > a > $o,X49: a,X50: a,X51: a,X52: a,X53: a] :
( ( ( X44 @ ( esk3_1 @ X44 ) @ ( esk4_1 @ X44 ) )
| ~ ( epred1_3 @ X44 @ epred3_0 @ epred2_0 )
| ( X44 @ esk1_0 @ esk2_0 ) )
& ( ( X44 @ ( esk4_1 @ X44 ) @ ( esk5_1 @ X44 ) )
| ~ ( epred1_3 @ X44 @ epred3_0 @ epred2_0 )
| ( X44 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X44 @ ( esk3_1 @ X44 ) @ ( esk5_1 @ X44 ) )
| ~ ( epred1_3 @ X44 @ epred3_0 @ epred2_0 )
| ( X44 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred2_0 @ X49 @ X50 )
| ( epred4_0 @ X49 @ X50 ) )
& ( ~ ( epred3_0 @ X49 @ X50 )
| ( epred4_0 @ X49 @ X50 ) )
& ( ~ ( epred4_0 @ X51 @ X52 )
| ~ ( epred4_0 @ X52 @ X53 )
| ( epred4_0 @ X51 @ X53 ) )
& ~ ( epred4_0 @ esk1_0 @ esk2_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_2])])])])])]) ).
thf(c_0_5,plain,
! [X54: a > a > $o,X55: a > a > $o,X56: a > a > $o,X59: a > a > $o,X65: a > a > $o] :
( ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X54 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( X59 @ ( esk11_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X55 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ( X65 @ ( esk16_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X65 @ ( esk15_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk17_4 @ X54 @ X55 @ X56 @ X65 ) )
| ~ ( X65 @ ( esk13_4 @ X54 @ X55 @ X56 @ X65 ) @ ( esk14_4 @ X54 @ X55 @ X56 @ X65 ) )
| ( X65 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ~ ( X59 @ ( esk10_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk12_4 @ X54 @ X55 @ X56 @ X59 ) )
| ~ ( X59 @ ( esk8_4 @ X54 @ X55 @ X56 @ X59 ) @ ( esk9_4 @ X54 @ X55 @ X56 @ X59 ) )
| ( X59 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) )
& ( ~ ( X56 @ ( esk6_3 @ X54 @ X55 @ X56 ) @ ( esk7_3 @ X54 @ X55 @ X56 ) )
| ( epred1_3 @ X56 @ X55 @ X54 ) ) ),
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_3])])])])])]) ).
thf(c_0_6,negated_conjecture,
! [X3: a,X4: a,X6: a] :
( ( epred4_0 @ X3 @ X6 )
| ~ ( epred4_0 @ X3 @ X4 )
| ~ ( epred4_0 @ X4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
! [X1: a > a > $o,X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X1: a > a > $o,X3: a,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X8 @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk12_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X1 @ X2 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ X2 @ X1 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_9,plain,
! [X1: a > a > $o,X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_11,plain,
! [X1: a > a > $o,X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_12,plain,
! [X12: a > a > $o,X1: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X8 @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk12_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X1 @ X5 @ X12 ) @ ( esk12_4 @ X2 @ X1 @ X5 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X12 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X12 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X12 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred1_3 @ X5 @ X1 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X1: a > a > $o,X3: a,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X8 @ ( esk10_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X1 @ X2 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ X2 @ X1 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_11]) ).
thf(c_0_14,plain,
! [X1: a > a > $o,X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_16,negated_conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X8: a > a > $o,X5: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk17_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X2 @ X1 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ X1 @ X2 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_17,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_18,plain,
! [X1: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk12_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred1_3 @ X5 @ X1 @ X2 ) ),
inference(ef,[status(thm)],[c_0_12]) ).
thf(c_0_19,plain,
! [X12: a > a > $o,X1: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X8 @ ( esk10_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X1 @ X5 @ X12 ) @ ( esk11_4 @ X2 @ X1 @ X5 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X12 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X12 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X12 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred1_3 @ X5 @ X1 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
thf(c_0_20,plain,
! [X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk17_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X12 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X12 ) )
| ( X12 @ ( esk16_4 @ X1 @ X2 @ X5 @ X12 ) @ ( esk17_4 @ X1 @ X2 @ X5 @ X12 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X12 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_17]) ).
thf(c_0_21,negated_conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X8: a > a > $o,X5: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk15_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X2 @ X1 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ X1 @ X2 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
thf(c_0_22,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_23,negated_conjecture,
! [X1: a > a > $o,X2: a > a > $o,X3: a,X5: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X2 @ X1 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ X1 @ X2 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_18]) ).
thf(c_0_24,plain,
! [X1: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk10_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk11_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred1_3 @ X5 @ X1 @ X2 ) ),
inference(ef,[status(thm)],[c_0_19]) ).
thf(c_0_25,plain,
! [X8: a > a > $o,X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk17_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(ef,[status(thm)],[c_0_20]) ).
thf(c_0_26,plain,
! [X12: a > a > $o,X8: a > a > $o,X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk15_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X12 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X12 ) )
| ( X12 @ ( esk15_4 @ X1 @ X2 @ X5 @ X12 ) @ ( esk16_4 @ X1 @ X2 @ X5 @ X12 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X12 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_14]),c_0_22]) ).
thf(c_0_27,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_28,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk12_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_29,negated_conjecture,
! [X1: a > a > $o,X3: a,X2: a > a > $o,X5: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( epred1_3 @ X5 @ X1 @ X2 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ X2 @ X1 @ X5 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_25]) ).
thf(c_0_30,plain,
! [X8: a > a > $o,X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X8 @ ( esk15_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk16_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ X8 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( X8 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(ef,[status(thm)],[c_0_26]) ).
thf(c_0_31,plain,
! [X1: a > a > $o,X2: a > a > $o,X5: a > a > $o,X8: a > a > $o] :
( ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk8_4 @ X2 @ X1 @ X5 @ epred4_0 ) @ ( esk9_4 @ X2 @ X1 @ X5 @ epred4_0 ) )
| ( X1 @ ( esk13_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk14_4 @ X2 @ X1 @ X5 @ X8 ) )
| ( epred4_0 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( X8 @ ( esk6_3 @ X2 @ X1 @ X5 ) @ ( esk7_3 @ X2 @ X1 @ X5 ) )
| ( epred1_3 @ X5 @ X1 @ X2 )
| ~ ( X8 @ ( esk15_4 @ X2 @ X1 @ X5 @ X8 ) @ ( esk17_4 @ X2 @ X1 @ X5 @ X8 ) ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_32,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk17_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_33,negated_conjecture,
! [X3: a,X4: a] :
( ( epred4_0 @ X3 @ X4 )
| ~ ( epred3_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_34,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk8_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk9_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( X2 @ ( esk13_4 @ X1 @ X2 @ X5 @ epred4_0 ) @ ( esk14_4 @ X1 @ X2 @ X5 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ X2 @ X5 ) @ ( esk7_3 @ X1 @ X2 @ X5 ) )
| ( epred1_3 @ X5 @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X3: a,X4: a] :
( ( epred4_0 @ X3 @ X4 )
| ~ ( epred2_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_36,negated_conjecture,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ X1 @ epred3_0 @ X2 @ epred4_0 ) @ ( esk14_4 @ X1 @ epred3_0 @ X2 @ epred4_0 ) )
| ( X1 @ ( esk8_4 @ X1 @ epred3_0 @ X2 @ epred4_0 ) @ ( esk9_4 @ X1 @ epred3_0 @ X2 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ X1 @ epred3_0 @ X2 ) @ ( esk7_3 @ X1 @ epred3_0 @ X2 ) )
| ( epred1_3 @ X2 @ epred3_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_37,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_38,negated_conjecture,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_39,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_40,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_41,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_42,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_43,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_39]),c_0_33]) ).
thf(c_0_44,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
thf(c_0_45,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
thf(c_0_46,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_47,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
thf(c_0_48,negated_conjecture,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_33]) ).
thf(c_0_49,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_50,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_45]),c_0_33]) ).
thf(c_0_51,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_38]) ).
thf(c_0_52,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_33]) ).
thf(c_0_53,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
thf(c_0_54,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_33]) ).
thf(c_0_55,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_56,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_52]) ).
thf(c_0_57,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_33]) ).
thf(c_0_58,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_55,c_0_38]) ).
thf(c_0_59,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
thf(c_0_60,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_61,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X5 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_62,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_63,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_38]) ).
thf(c_0_64,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_61,c_0_38]) ).
thf(c_0_65,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_62]),c_0_33]) ).
thf(c_0_66,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_59]) ).
thf(c_0_67,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred3_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
thf(c_0_68,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_33]) ).
thf(c_0_69,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_70,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_33]) ).
thf(c_0_71,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_72,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_73,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_74,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_75,negated_conjecture,
! [X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_71]) ).
thf(c_0_76,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_70]) ).
thf(c_0_77,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_73,c_0_70]) ).
thf(c_0_78,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_70]) ).
thf(c_0_79,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_80,plain,
! [X12: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_81,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X5 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X5 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
thf(c_0_82,negated_conjecture,
! [X3: a,X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_78]) ).
thf(c_0_83,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_70]) ).
thf(c_0_84,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_80,c_0_70]) ).
thf(c_0_85,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(ef,[status(thm)],[c_0_81]) ).
thf(c_0_86,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X5 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X5 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X5 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]) ).
thf(c_0_87,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_85]) ).
thf(c_0_88,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( X2 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(ef,[status(thm)],[c_0_86]) ).
thf(c_0_89,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_90,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
thf(c_0_91,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
thf(c_0_92,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_93,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X2 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_94,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_70]) ).
thf(c_0_95,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_92,c_0_90]) ).
thf(c_0_96,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_93,c_0_90]) ).
thf(c_0_97,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_94]) ).
thf(c_0_98,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_70]) ).
thf(c_0_99,plain,
! [X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_96,c_0_70]) ).
thf(c_0_100,negated_conjecture,
! [X1: a > a > $o] :
( ( epred2_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
thf(c_0_101,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_102,negated_conjecture,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk8_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk9_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_100]) ).
thf(c_0_103,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
thf(c_0_104,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_105,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_106,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_107,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_70]) ).
thf(c_0_108,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_104,c_0_102]) ).
thf(c_0_109,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_105,c_0_102]) ).
thf(c_0_110,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_106,c_0_102]) ).
thf(c_0_111,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_112,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk11_4 @ X2 @ X5 @ X8 @ X12 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_113,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_107]) ).
thf(c_0_114,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_70]) ).
thf(c_0_115,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_109,c_0_70]) ).
thf(c_0_116,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_70]) ).
thf(c_0_117,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_111,c_0_102]) ).
thf(c_0_118,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_112,c_0_102]) ).
thf(c_0_119,negated_conjecture,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
thf(c_0_120,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_116]) ).
thf(c_0_121,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_70]) ).
thf(c_0_122,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_118,c_0_70]) ).
thf(c_0_123,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_124,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_119]) ).
thf(c_0_125,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk11_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
thf(c_0_126,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( X1 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( epred1_3 @ X2 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X2 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X2 @ epred4_0 ) )
| ~ ( X1 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_123,c_0_102]) ).
thf(c_0_127,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
thf(c_0_128,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk16_4 @ X2 @ X5 @ X8 @ X1 ) )
| ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_129,plain,
! [X1: a > a > $o,X2: a > a > $o,X8: a > a > $o,X5: a > a > $o,X12: a > a > $o] :
( ( X1 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( X12 @ ( esk6_3 @ X2 @ X5 @ X8 ) @ ( esk7_3 @ X2 @ X5 @ X8 ) )
| ( epred1_3 @ X8 @ X5 @ X2 )
| ~ ( X1 @ ( esk15_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk17_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X1 @ ( esk13_4 @ X2 @ X5 @ X8 @ X1 ) @ ( esk14_4 @ X2 @ X5 @ X8 @ X1 ) )
| ~ ( X12 @ ( esk10_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk12_4 @ X2 @ X5 @ X8 @ X12 ) )
| ~ ( X12 @ ( esk8_4 @ X2 @ X5 @ X8 @ X12 ) @ ( esk9_4 @ X2 @ X5 @ X8 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_130,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( X1 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( epred1_3 @ X2 @ epred3_0 @ epred2_0 )
| ~ ( X1 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
thf(c_0_131,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( X1 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( epred1_3 @ X2 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X2 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X2 @ epred4_0 ) )
| ~ ( X1 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_128,c_0_102]) ).
thf(c_0_132,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk10_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk12_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_129,c_0_102]) ).
thf(c_0_133,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_130,c_0_70]) ).
thf(c_0_134,plain,
! [X2: a > a > $o,X1: a > a > $o] :
( ( X1 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( X1 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X2 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X2 ) )
| ( epred1_3 @ X2 @ epred3_0 @ epred2_0 )
| ~ ( X1 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X2 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_131,c_0_127]) ).
thf(c_0_135,plain,
! [X1: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( X2 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( X2 @ ( esk13_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk14_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) )
| ~ ( X2 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_132,c_0_127]) ).
thf(c_0_136,negated_conjecture,
! [X3: a,X1: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred4_0 @ X3 @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ X3 @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_133]) ).
thf(c_0_137,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk16_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_70]) ).
thf(c_0_138,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 )
| ~ ( epred4_0 @ ( esk15_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) @ ( esk17_4 @ epred2_0 @ epred3_0 @ X1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_135,c_0_70]) ).
thf(c_0_139,plain,
! [X5: a > a > $o,X2: a > a > $o,X1: a > a > $o] :
( ( epred1_3 @ X1 @ X5 @ X2 )
| ~ ( X1 @ ( esk6_3 @ X2 @ X5 @ X1 ) @ ( esk7_3 @ X2 @ X5 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_140,plain,
! [X1: a > a > $o] :
( ( epred4_0 @ ( esk6_3 @ epred2_0 @ epred3_0 @ X1 ) @ ( esk7_3 @ epred2_0 @ epred3_0 @ X1 ) )
| ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
thf(c_0_141,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk4_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_142,plain,
epred1_3 @ epred4_0 @ epred3_0 @ epred2_0,
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
thf(c_0_143,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_144,negated_conjecture,
epred4_0 @ ( esk4_1 @ epred4_0 ) @ ( esk5_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
thf(c_0_145,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ ( esk3_1 @ X1 ) @ ( esk4_1 @ X1 ) )
| ( X1 @ esk1_0 @ esk2_0 )
| ~ ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_146,negated_conjecture,
! [X1: a > a > $o] :
( ( X1 @ esk1_0 @ esk2_0 )
| ~ ( X1 @ ( esk3_1 @ X1 ) @ ( esk5_1 @ X1 ) )
| ~ ( epred1_3 @ X1 @ epred3_0 @ epred2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_147,negated_conjecture,
! [X3: a] :
( ( epred4_0 @ X3 @ ( esk5_1 @ epred4_0 ) )
| ~ ( epred4_0 @ X3 @ ( esk4_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_6,c_0_144]) ).
thf(c_0_148,negated_conjecture,
epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_142]),c_0_143]) ).
thf(c_0_149,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_142]),c_0_148])]),c_0_143]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV140^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 18:24:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running higher-order theorem proving
% 0.21/0.48 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/benchmark/theBenchmark.p
% 3.76/0.99 # Version: 3.1.0-ho
% 3.76/0.99 # Preprocessing class: HSMSSMSSSSSNSSA.
% 3.76/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/0.99 # Starting post_as_ho1 with 1500s (5) cores
% 3.76/0.99 # Starting post_as_ho12 with 300s (1) cores
% 3.76/0.99 # Starting new_ho_3 with 300s (1) cores
% 3.76/0.99 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.76/0.99 # post_as_ho1 with pid 15855 completed with status 0
% 3.76/0.99 # Result found by post_as_ho1
% 3.76/0.99 # Preprocessing class: HSMSSMSSSSSNSSA.
% 3.76/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/0.99 # Starting post_as_ho1 with 1500s (5) cores
% 3.76/0.99 # No SInE strategy applied
% 3.76/0.99 # Search class: HGUNF-FFLF33-SSSFFMBN
% 3.76/0.99 # partial match(1): HGUNF-FSLF33-SSSFFMBN
% 3.76/0.99 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.76/0.99 # Starting post_as_ho3 with 901s (1) cores
% 3.76/0.99 # Starting ho_unfolding_4 with 151s (1) cores
% 3.76/0.99 # Starting post_as_ho1 with 151s (1) cores
% 3.76/0.99 # Starting new_ho_11 with 151s (1) cores
% 3.76/0.99 # Starting new_ho_10_cnf2 with 146s (1) cores
% 3.76/0.99 # ho_unfolding_4 with pid 15863 completed with status 0
% 3.76/0.99 # Result found by ho_unfolding_4
% 3.76/0.99 # Preprocessing class: HSMSSMSSSSSNSSA.
% 3.76/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.76/0.99 # Starting post_as_ho1 with 1500s (5) cores
% 3.76/0.99 # No SInE strategy applied
% 3.76/0.99 # Search class: HGUNF-FFLF33-SSSFFMBN
% 3.76/0.99 # partial match(1): HGUNF-FSLF33-SSSFFMBN
% 3.76/0.99 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.76/0.99 # Starting post_as_ho3 with 901s (1) cores
% 3.76/0.99 # Starting ho_unfolding_4 with 151s (1) cores
% 3.76/0.99 # Preprocessing time : 0.002 s
% 3.76/0.99 # Presaturation interreduction done
% 3.76/0.99
% 3.76/0.99 # Proof found!
% 3.76/0.99 # SZS status Theorem
% 3.76/0.99 # SZS output start CNFRefutation
% See solution above
% 3.76/0.99 # Parsed axioms : 2
% 3.76/0.99 # Removed by relevancy pruning/SinE : 0
% 3.76/0.99 # Initial clauses : 45
% 3.76/0.99 # Removed in clause preprocessing : 1
% 3.76/0.99 # Initial clauses in saturation : 44
% 3.76/0.99 # Processed clauses : 2611
% 3.76/0.99 # ...of these trivial : 0
% 3.76/0.99 # ...subsumed : 937
% 3.76/0.99 # ...remaining for further processing : 1674
% 3.76/0.99 # Other redundant clauses eliminated : 56
% 3.76/0.99 # Clauses deleted for lack of memory : 0
% 3.76/0.99 # Backward-subsumed : 1123
% 3.76/0.99 # Backward-rewritten : 0
% 3.76/0.99 # Generated clauses : 6359
% 3.76/0.99 # ...of the previous two non-redundant : 6277
% 3.76/0.99 # ...aggressively subsumed : 0
% 3.76/0.99 # Contextual simplify-reflections : 297
% 3.76/0.99 # Paramodulations : 6181
% 3.76/0.99 # Factorizations : 36
% 3.76/0.99 # NegExts : 0
% 3.76/0.99 # Equation resolutions : 56
% 3.76/0.99 # Disequality decompositions : 0
% 3.76/0.99 # Total rewrite steps : 2
% 3.76/0.99 # ...of those cached : 0
% 3.76/0.99 # Propositional unsat checks : 0
% 3.76/0.99 # Propositional check models : 0
% 3.76/0.99 # Propositional check unsatisfiable : 0
% 3.76/0.99 # Propositional clauses : 0
% 3.76/0.99 # Propositional clauses after purity: 0
% 3.76/0.99 # Propositional unsat core size : 0
% 3.76/0.99 # Propositional preprocessing time : 0.000
% 3.76/0.99 # Propositional encoding time : 0.000
% 3.76/0.99 # Propositional solver time : 0.000
% 3.76/0.99 # Success case prop preproc time : 0.000
% 3.76/0.99 # Success case prop encoding time : 0.000
% 3.76/0.99 # Success case prop solver time : 0.000
% 3.76/0.99 # Current number of processed clauses : 483
% 3.76/0.99 # Positive orientable unit clauses : 5
% 3.76/0.99 # Positive unorientable unit clauses: 0
% 3.76/0.99 # Negative unit clauses : 1
% 3.76/0.99 # Non-unit-clauses : 477
% 3.76/0.99 # Current number of unprocessed clauses: 2176
% 3.76/0.99 # ...number of literals in the above : 18851
% 3.76/0.99 # Current number of archived formulas : 0
% 3.76/0.99 # Current number of archived clauses : 1191
% 3.76/0.99 # Clause-clause subsumption calls (NU) : 217165
% 3.76/0.99 # Rec. Clause-clause subsumption calls : 7716
% 3.76/0.99 # Non-unit clause-clause subsumptions : 2357
% 3.76/0.99 # Unit Clause-clause subsumption calls : 2036
% 3.76/0.99 # Rewrite failures with RHS unbound : 0
% 3.76/0.99 # BW rewrite match attempts : 3
% 3.76/0.99 # BW rewrite match successes : 0
% 3.76/0.99 # Condensation attempts : 0
% 3.76/0.99 # Condensation successes : 0
% 3.76/0.99 # Termbank termtop insertions : 553277
% 3.76/0.99 # Search garbage collected termcells : 895
% 3.76/0.99
% 3.76/0.99 # -------------------------------------------------
% 3.76/0.99 # User time : 0.496 s
% 3.76/0.99 # System time : 0.009 s
% 3.76/0.99 # Total time : 0.505 s
% 3.76/0.99 # Maximum resident set size: 2160 pages
% 3.76/0.99
% 3.76/0.99 # -------------------------------------------------
% 3.76/0.99 # User time : 2.485 s
% 3.76/0.99 # System time : 0.028 s
% 3.76/0.99 # Total time : 2.513 s
% 3.76/0.99 # Maximum resident set size: 1772 pages
% 3.76/0.99 % E---3.1 exiting
% 3.76/0.99 % E exiting
%------------------------------------------------------------------------------