TSTP Solution File: SEV119^5 by E---3.2.0
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%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SEV119^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : Mon Jun 24 15:53:34 EDT 2024
% Result : Theorem 196.46s 25.27s
% Output : CNFRefutation 196.46s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: ( 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,
epred4_0: a > a > $o ).
thf(decl_28,type,
epred5_0: a > a > $o ).
thf(decl_29,type,
epred6_2: a > a > a > a > $o ).
thf(decl_30,type,
epred7_2: a > a > a > a > $o ).
thf(decl_31,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_32,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_33,type,
esk5_1: ( a > a > $o ) > a ).
thf(decl_34,type,
esk6_1: ( a > a > $o ) > a ).
thf(decl_35,type,
esk7_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_36,type,
esk8_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_37,type,
esk9_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_38,type,
esk10_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(cTHM252_pme,conjecture,
! [X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a > a > $o] :
( ( ^ [X4: a,X5: a] :
! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ( X2 @ X7 @ X8 )
| ( X3 @ X7 @ X8 ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) ) )
= ( ^ [X4: a,X5: a] :
! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X2 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) )
| ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X3 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X4 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.OKUENydQKD/E---3.1_10645.p',cTHM252_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( a > a > $o ) > $o,X2: a > a > $o,X3: a > a > $o,X15: a,X16: a] :
( ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ( X2 @ X7 @ X8 )
| ( X3 @ X7 @ X8 ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X15 @ X16 ) )
<=> ! [X6: a > a > $o] :
( ( ! [X7: a,X8: a] :
( ( ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X2 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) )
| ! [X9: a > a > $o] :
( ( ! [X10: a,X11: a] :
( ( X3 @ X10 @ X11 )
=> ( X9 @ X10 @ X11 ) )
& ( X1 @ X9 ) )
=> ( X9 @ X7 @ X8 ) ) )
=> ( X6 @ X7 @ X8 ) )
& ( X1 @ X6 ) )
=> ( X6 @ X15 @ X16 ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM252_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X23: a,X24: a,X26: a,X27: a,X29: a,X30: a,X32: a,X33: a,X34: a > a > $o,X37: a > a > $o,X40: a > a > $o,X43: a > a > $o] :
( ( ~ ( epred2_0 @ X29 @ X30 )
| ( epred6_2 @ X26 @ X27 @ X29 @ X30 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ ( epred6_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred6_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred3_0 @ X32 @ X33 )
| ( epred7_2 @ X26 @ X27 @ X32 @ X33 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ ( epred7_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred7_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ epred5_0 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred2_0 @ X29 @ X30 )
| ( epred6_2 @ X26 @ X27 @ X29 @ X30 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ ( epred6_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred6_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred3_0 @ X32 @ X33 )
| ( epred7_2 @ X26 @ X27 @ X32 @ X33 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ ( epred7_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred7_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ( epred1_0 @ epred5_0 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ X23 @ X24 )
| ( epred4_0 @ X23 @ X24 ) )
& ( ~ ( epred2_0 @ X29 @ X30 )
| ( epred6_2 @ X26 @ X27 @ X29 @ X30 )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ( epred1_0 @ ( epred6_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred6_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred3_0 @ X32 @ X33 )
| ( epred7_2 @ X26 @ X27 @ X32 @ X33 )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ( epred1_0 @ ( epred7_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred7_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ( epred1_0 @ epred4_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 ) )
& ( ~ ( epred2_0 @ X29 @ X30 )
| ( epred6_2 @ X26 @ X27 @ X29 @ X30 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( epred6_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred6_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred3_0 @ X32 @ X33 )
| ( epred7_2 @ X26 @ X27 @ X32 @ X33 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ ( epred7_2 @ X26 @ X27 ) )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred7_2 @ X26 @ X27 @ X26 @ X27 )
| ( epred5_0 @ X26 @ X27 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred3_0 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ( epred2_0 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X43 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ( epred2_0 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ( epred3_0 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( X40 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X43 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( X40 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X37 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ( epred3_0 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ( epred3_0 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ( epred2_0 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X43 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ( epred2_0 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ( epred3_0 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( X40 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X43 @ ( esk9_2 @ X37 @ X43 ) @ ( esk10_2 @ X37 @ X43 ) )
| ~ ( epred1_0 @ X43 )
| ( X43 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( X40 @ ( esk7_2 @ X37 @ X40 ) @ ( esk8_2 @ X37 @ X40 ) )
| ~ ( epred1_0 @ X40 )
| ( X40 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ esk1_0 @ esk2_0 ) )
& ( ~ ( X37 @ ( esk5_1 @ X37 ) @ ( esk6_1 @ X37 ) )
| ~ ( epred1_0 @ X37 )
| ( X37 @ esk1_0 @ esk2_0 )
| ~ ( X34 @ ( esk3_1 @ X34 ) @ ( esk4_1 @ X34 ) )
| ~ ( epred1_0 @ X34 )
| ( X34 @ 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_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o,X9: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( epred3_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X4: a,X5: a] :
( ( epred1_0 @ epred5_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_4]),c_0_5]) ).
thf(c_0_11,negated_conjecture,
! [X4: a,X5: a] :
( ( epred1_0 @ epred5_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o,X9: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X3 @ X6 ) @ ( esk8_2 @ X3 @ X6 ) )
| ( X6 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( epred3_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_14,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_4]),c_0_5]) ).
thf(c_0_16,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_4]),c_0_5]) ).
thf(c_0_17,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o,X9: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( epred3_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X6 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_18,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_4]),c_0_11]) ).
thf(c_0_19,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_4]),c_0_5]) ).
thf(c_0_20,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_4]),c_0_5]) ).
thf(c_0_21,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o,X9: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X6 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( epred3_0 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X6 @ ( esk7_2 @ X3 @ X6 ) @ ( esk8_2 @ X3 @ X6 ) )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_22,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_20,c_0_4]) ).
thf(c_0_23,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_4]),c_0_5]) ).
thf(c_0_24,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
thf(c_0_25,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_4]) ).
thf(c_0_26,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_4]),c_0_5]) ).
thf(c_0_27,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_28,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_26]),c_0_11]) ).
thf(c_0_29,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_4]),c_0_5]) ).
thf(c_0_30,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o,X9: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 )
| ~ ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_31,negated_conjecture,
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_4]),c_0_5]),c_0_11]),c_0_9]) ).
thf(c_0_32,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_4]),c_0_5]) ).
thf(c_0_33,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_4]) ).
thf(c_0_34,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_4]) ).
thf(c_0_35,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_4]),c_0_5]) ).
thf(c_0_36,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_35]) ).
thf(c_0_37,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o,X9: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X3 @ X6 ) @ ( esk8_2 @ X3 @ X6 ) )
| ( X6 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_38,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_36]) ).
thf(c_0_39,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_4]),c_0_5]) ).
thf(c_0_40,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_4]),c_0_5]) ).
thf(c_0_41,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o,X9: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( X6 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 )
| ~ ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_42,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_4]),c_0_11]) ).
thf(c_0_43,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_4]),c_0_5]) ).
thf(c_0_44,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_4]),c_0_5]) ).
thf(c_0_45,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o,X9: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X6 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( X9 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X6 @ ( esk7_2 @ X3 @ X6 ) @ ( esk8_2 @ X3 @ X6 ) )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( X9 @ ( esk3_1 @ X9 ) @ ( esk4_1 @ X9 ) )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_46,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_4]) ).
thf(c_0_47,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_42]),c_0_4]),c_0_5]) ).
thf(c_0_48,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_50,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_4]) ).
thf(c_0_51,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_31]),c_0_4]),c_0_5]) ).
thf(c_0_52,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_31]),c_0_4]),c_0_5]) ).
thf(c_0_53,negated_conjecture,
epred1_0 @ epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_4]),c_0_5]) ).
thf(c_0_54,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_53]) ).
thf(c_0_55,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_53]) ).
thf(c_0_56,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred5_0 ) @ ( esk10_2 @ X2 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_53]) ).
thf(c_0_57,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred7_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_58,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_56,c_0_53]) ).
thf(c_0_59,negated_conjecture,
( ( epred1_0 @ epred4_0 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_60,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_61,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
thf(c_0_62,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred6_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_63,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_64,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_65,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
thf(c_0_66,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
thf(c_0_67,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_66]),c_0_53])]),c_0_59]) ).
thf(c_0_68,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_59]) ).
thf(c_0_69,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_53]) ).
thf(c_0_70,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_69]) ).
thf(c_0_71,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_70]) ).
thf(c_0_72,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_71]),c_0_53])]),c_0_59]) ).
thf(c_0_73,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_53]),c_0_59]) ).
thf(c_0_74,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_53]) ).
thf(c_0_75,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_74]) ).
thf(c_0_76,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_71]),c_0_53])]),c_0_59]) ).
thf(c_0_77,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_75]) ).
thf(c_0_78,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_53])]) ).
thf(c_0_79,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_53]),c_0_59]) ).
thf(c_0_80,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_79]) ).
thf(c_0_81,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_80]) ).
thf(c_0_82,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_81]) ).
thf(c_0_83,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_82]) ).
thf(c_0_84,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_83]),c_0_53])]),c_0_59]) ).
thf(c_0_85,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_53]),c_0_59]) ).
thf(c_0_86,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_85]) ).
thf(c_0_87,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_86]) ).
thf(c_0_88,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_87]) ).
thf(c_0_89,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_88]) ).
thf(c_0_90,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_89]),c_0_53])]),c_0_59]) ).
thf(c_0_91,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_53]) ).
thf(c_0_92,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred5_0 ) @ ( esk10_2 @ X2 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_53]) ).
thf(c_0_93,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_53]),c_0_59]) ).
thf(c_0_94,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_93]) ).
thf(c_0_95,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_94]) ).
thf(c_0_96,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_95]) ).
thf(c_0_97,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_96]) ).
thf(c_0_98,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_97]),c_0_53])]),c_0_59]) ).
thf(c_0_99,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_89]),c_0_53])]),c_0_59]) ).
thf(c_0_100,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_99,c_0_53]) ).
thf(c_0_101,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_100]) ).
thf(c_0_102,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_101]) ).
thf(c_0_103,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_102]),c_0_53])]),c_0_59]) ).
thf(c_0_104,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_89]),c_0_53])]),c_0_59]) ).
thf(c_0_105,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_53]) ).
thf(c_0_106,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_105]) ).
thf(c_0_107,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_102]),c_0_53])]),c_0_59]) ).
thf(c_0_108,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_106]) ).
thf(c_0_109,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_53])]) ).
thf(c_0_110,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred4_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_89]),c_0_53])]),c_0_59]) ).
thf(c_0_111,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_89]),c_0_53])]),c_0_59]) ).
thf(c_0_112,negated_conjecture,
epred1_0 @ epred4_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_53])]),c_0_59]) ).
thf(c_0_113,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_112]) ).
thf(c_0_114,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_112]) ).
thf(c_0_115,negated_conjecture,
! [X4: a,X5: a,X8: a,X7: a,X10: a,X11: a] :
( ( epred7_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred4_0 @ X10 @ X11 )
| ~ ( epred3_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_116,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_114,c_0_112]) ).
thf(c_0_117,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred7_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_118,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
thf(c_0_119,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_120,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_58]) ).
thf(c_0_121,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_122,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_123,negated_conjecture,
( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_124,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]) ).
thf(c_0_125,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_120]),c_0_123]) ).
thf(c_0_126,negated_conjecture,
! [X4: a,X5: a,X8: a,X7: a,X10: a,X11: a] :
( ( epred7_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred4_0 @ X10 @ X11 )
| ~ ( epred3_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_127,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_116]),c_0_125]) ).
thf(c_0_128,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
thf(c_0_129,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_130,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_58]) ).
thf(c_0_131,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_132,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_131]) ).
thf(c_0_133,negated_conjecture,
! [X4: a,X5: a,X8: a,X7: a,X10: a,X11: a] :
( ( epred6_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred4_0 @ X10 @ X11 )
| ~ ( epred2_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_134,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_127]) ).
thf(c_0_135,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_121]) ).
thf(c_0_136,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_137,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_116]) ).
thf(c_0_138,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_121]) ).
thf(c_0_139,negated_conjecture,
! [X4: a,X5: a,X8: a,X7: a,X10: a,X11: a] :
( ( epred6_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ( epred4_0 @ X10 @ X11 )
| ~ ( epred2_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_140,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_138,c_0_116]) ).
thf(c_0_141,negated_conjecture,
! [X4: a,X8: a,X7: a,X5: a] :
( ( epred6_2 @ X7 @ X8 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_142,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141]) ).
thf(c_0_143,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_144,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_142,c_0_134]) ).
thf(c_0_145,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_146,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_131]) ).
thf(c_0_147,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_144]),c_0_123]) ).
thf(c_0_148,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_140]),c_0_147]) ).
thf(c_0_149,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_148]),c_0_112])]) ).
thf(c_0_150,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_149,c_0_53]) ).
thf(c_0_151,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_112]) ).
thf(c_0_152,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_151]),c_0_117]) ).
thf(c_0_153,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_58]) ).
thf(c_0_154,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_153]),c_0_131]) ).
thf(c_0_155,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_153]),c_0_123]) ).
thf(c_0_156,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_151]),c_0_141]) ).
thf(c_0_157,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_151]),c_0_155]) ).
thf(c_0_158,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
thf(c_0_159,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_158]),c_0_131]) ).
thf(c_0_160,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_158]),c_0_123]) ).
thf(c_0_161,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_151]),c_0_160]) ).
thf(c_0_162,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_161]),c_0_112])]) ).
thf(c_0_163,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_53]) ).
thf(c_0_164,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_163,c_0_112]) ).
thf(c_0_165,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_164]),c_0_117]) ).
thf(c_0_166,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_165,c_0_58]) ).
thf(c_0_167,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_166]),c_0_121]) ).
thf(c_0_168,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_166]),c_0_123]) ).
thf(c_0_169,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_164]),c_0_168]) ).
thf(c_0_170,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_169]),c_0_121]) ).
thf(c_0_171,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_170,c_0_164]) ).
thf(c_0_172,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_171]),c_0_121]) ).
thf(c_0_173,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_161]),c_0_112])]) ).
thf(c_0_174,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_172,c_0_164]) ).
thf(c_0_175,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_112])]) ).
thf(c_0_176,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_53]) ).
thf(c_0_177,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_176]),c_0_53])]) ).
thf(c_0_178,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_177,c_0_53]) ).
thf(c_0_179,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_53]) ).
thf(c_0_180,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_179]),c_0_121]) ).
thf(c_0_181,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_180,c_0_116]) ).
thf(c_0_182,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_181]),c_0_121]) ).
thf(c_0_183,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_182,c_0_116]) ).
thf(c_0_184,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_183]),c_0_141]) ).
thf(c_0_185,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_184,c_0_179]) ).
thf(c_0_186,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_185]),c_0_131]) ).
thf(c_0_187,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_186,c_0_183]) ).
thf(c_0_188,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_187]),c_0_112])]) ).
thf(c_0_189,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_188,c_0_53]) ).
thf(c_0_190,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_189,c_0_112]) ).
thf(c_0_191,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_190]),c_0_141]) ).
thf(c_0_192,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_191,c_0_179]) ).
thf(c_0_193,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_192]),c_0_131]) ).
thf(c_0_194,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_190]) ).
thf(c_0_195,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_194]),c_0_112])]) ).
thf(c_0_196,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_53]) ).
thf(c_0_197,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_196,c_0_112]) ).
thf(c_0_198,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_180,c_0_197]) ).
thf(c_0_199,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_198]),c_0_121]) ).
thf(c_0_200,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_194]),c_0_112])]) ).
thf(c_0_201,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_199,c_0_197]) ).
thf(c_0_202,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_112])]) ).
thf(c_0_203,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_202,c_0_53]) ).
thf(c_0_204,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_203]),c_0_53])]) ).
thf(c_0_205,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_204,c_0_53]) ).
thf(c_0_206,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_205,c_0_53]) ).
thf(c_0_207,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_206]) ).
thf(c_0_208,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_207]),c_0_121]) ).
thf(c_0_209,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_208,c_0_116]) ).
thf(c_0_210,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_209]),c_0_117]) ).
thf(c_0_211,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_210,c_0_206]) ).
thf(c_0_212,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_211]),c_0_131]) ).
thf(c_0_213,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_212,c_0_209]) ).
thf(c_0_214,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_213]),c_0_112])]) ).
thf(c_0_215,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_214,c_0_53]) ).
thf(c_0_216,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_215,c_0_112]) ).
thf(c_0_217,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_216]),c_0_117]) ).
thf(c_0_218,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_206]) ).
thf(c_0_219,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_218]),c_0_131]) ).
thf(c_0_220,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_219,c_0_216]) ).
thf(c_0_221,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_220]),c_0_112])]) ).
thf(c_0_222,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_221,c_0_53]) ).
thf(c_0_223,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_222,c_0_112]) ).
thf(c_0_224,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_223]),c_0_117]) ).
thf(c_0_225,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_224,c_0_206]) ).
thf(c_0_226,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_225]),c_0_121]) ).
thf(c_0_227,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_112]) ).
thf(c_0_228,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_220]),c_0_112])]) ).
thf(c_0_229,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_226,c_0_223]) ).
thf(c_0_230,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_227,c_0_112]) ).
thf(c_0_231,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_112])]) ).
thf(c_0_232,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_230,c_0_112]) ).
thf(c_0_233,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_203]),c_0_53])]) ).
thf(c_0_234,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_231,c_0_53]) ).
thf(c_0_235,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_232,c_0_112]) ).
thf(c_0_236,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_53])]) ).
thf(c_0_237,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_235]),c_0_117]) ).
thf(c_0_238,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_236,c_0_53]) ).
thf(c_0_239,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_235]),c_0_123]) ).
thf(c_0_240,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).
thf(c_0_241,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_240]) ).
thf(c_0_242,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_241,c_0_235]) ).
thf(c_0_243,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_242]),c_0_117]) ).
thf(c_0_244,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_242]),c_0_123]) ).
thf(c_0_245,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_238]),c_0_244]) ).
thf(c_0_246,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_245]) ).
thf(c_0_247,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_246,c_0_242]) ).
thf(c_0_248,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_247]),c_0_112])]) ).
thf(c_0_249,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_248,c_0_112]) ).
thf(c_0_250,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_249,c_0_112]) ).
thf(c_0_251,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_250]),c_0_117]) ).
thf(c_0_252,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_250]),c_0_123]) ).
thf(c_0_253,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_238]),c_0_252]) ).
thf(c_0_254,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_253]) ).
thf(c_0_255,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_254,c_0_250]) ).
thf(c_0_256,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_255]),c_0_112])]) ).
thf(c_0_257,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_256,c_0_112]) ).
thf(c_0_258,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_257,c_0_112]) ).
thf(c_0_259,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_258]),c_0_117]) ).
thf(c_0_260,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_258]),c_0_123]) ).
thf(c_0_261,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_238]),c_0_260]) ).
thf(c_0_262,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_261]) ).
thf(c_0_263,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_255]),c_0_112])]) ).
thf(c_0_264,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_262,c_0_258]) ).
thf(c_0_265,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_264]),c_0_112])]) ).
thf(c_0_266,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_265,c_0_112]) ).
thf(c_0_267,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_266]),c_0_117]),c_0_126]) ).
thf(c_0_268,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_266]),c_0_123]),c_0_131]) ).
thf(c_0_269,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_238]),c_0_268]) ).
thf(c_0_270,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_269]) ).
thf(c_0_271,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_269]) ).
thf(c_0_272,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_270,c_0_266]) ).
thf(c_0_273,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
thf(c_0_274,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_273]) ).
thf(c_0_275,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_274,c_0_235]) ).
thf(c_0_276,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_275]) ).
thf(c_0_277,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_276,c_0_235]) ).
thf(c_0_278,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_277]),c_0_141]),c_0_139]),c_0_133]) ).
thf(c_0_279,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_278,c_0_273]) ).
thf(c_0_280,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_279]) ).
thf(c_0_281,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_277]) ).
thf(c_0_282,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_281]),c_0_112])]) ).
thf(c_0_283,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_282,c_0_112]) ).
thf(c_0_284,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_283,c_0_112]) ).
thf(c_0_285,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_284]),c_0_141]),c_0_139]),c_0_133]) ).
thf(c_0_286,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_285,c_0_273]) ).
thf(c_0_287,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_286]) ).
thf(c_0_288,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_287,c_0_284]) ).
thf(c_0_289,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_288]),c_0_112])]) ).
thf(c_0_290,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_289,c_0_112]) ).
thf(c_0_291,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_290,c_0_112]) ).
thf(c_0_292,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_274,c_0_291]) ).
thf(c_0_293,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_292]) ).
thf(c_0_294,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_288]),c_0_112])]) ).
thf(c_0_295,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_293,c_0_291]) ).
thf(c_0_296,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_295]),c_0_112])]) ).
thf(c_0_297,negated_conjecture,
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_296,c_0_112]) ).
thf(c_0_298,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_274,c_0_297]) ).
thf(c_0_299,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_298]) ).
thf(c_0_300,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_299,c_0_297]) ).
thf(c_0_301,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_300]),c_0_141]) ).
thf(c_0_302,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_301,c_0_273]) ).
thf(c_0_303,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_302]) ).
thf(c_0_304,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_300]) ).
thf(c_0_305,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_304]),c_0_112])]) ).
thf(c_0_306,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_305,c_0_112]) ).
thf(c_0_307,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_306]),c_0_123]),c_0_131]) ).
thf(c_0_308,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_306]),c_0_117]),c_0_126]) ).
thf(c_0_309,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_53]),c_0_307]) ).
thf(c_0_310,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_308,c_0_309]) ).
thf(c_0_311,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_310]) ).
thf(c_0_312,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_310]) ).
thf(c_0_313,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_311,c_0_306]) ).
thf(c_0_314,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_312,c_0_313]) ).
thf(c_0_315,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_314]) ).
thf(c_0_316,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_315,c_0_306]) ).
thf(c_0_317,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_316]) ).
thf(c_0_318,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_306]) ).
thf(c_0_319,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_318]),c_0_141]) ).
thf(c_0_320,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_319,c_0_314]) ).
thf(c_0_321,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_320]) ).
thf(c_0_322,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_321,c_0_318]) ).
thf(c_0_323,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_322]),c_0_112])]) ).
thf(c_0_324,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_323,c_0_112]) ).
thf(c_0_325,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_324,c_0_112]) ).
thf(c_0_326,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_325,c_0_112]) ).
thf(c_0_327,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_326]),c_0_117]) ).
thf(c_0_328,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_326]),c_0_123]) ).
thf(c_0_329,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_238]),c_0_328]) ).
thf(c_0_330,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_329]) ).
thf(c_0_331,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_330,c_0_326]) ).
thf(c_0_332,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_331]),c_0_117]) ).
thf(c_0_333,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_331]),c_0_123]) ).
thf(c_0_334,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_238]),c_0_333]) ).
thf(c_0_335,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_334]) ).
thf(c_0_336,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_335,c_0_331]) ).
thf(c_0_337,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_336]),c_0_112])]) ).
thf(c_0_338,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_322]),c_0_112])]) ).
thf(c_0_339,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_338,c_0_112]) ).
thf(c_0_340,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_339]),c_0_117]) ).
thf(c_0_341,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_339]),c_0_123]) ).
thf(c_0_342,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_238]),c_0_341]) ).
thf(c_0_343,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_342]) ).
thf(c_0_344,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_343,c_0_339]) ).
thf(c_0_345,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_344]),c_0_112])]) ).
thf(c_0_346,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_345,c_0_322]),c_0_112])]) ).
thf(c_0_347,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_346,c_0_112]) ).
thf(c_0_348,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_347]),c_0_117]) ).
thf(c_0_349,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_347]),c_0_123]) ).
thf(c_0_350,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_238]),c_0_349]) ).
thf(c_0_351,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_350]) ).
thf(c_0_352,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_344]),c_0_112])]) ).
thf(c_0_353,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_351,c_0_347]) ).
thf(c_0_354,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_112])]) ).
thf(c_0_355,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_322]),c_0_112])]) ).
thf(c_0_356,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_355]) ).
thf(c_0_357,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_356,c_0_326]) ).
thf(c_0_358,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_357]) ).
thf(c_0_359,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_358,c_0_326]) ).
thf(c_0_360,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_359]),c_0_141]) ).
thf(c_0_361,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_360,c_0_355]) ).
thf(c_0_362,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_361]) ).
thf(c_0_363,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_362,c_0_359]) ).
thf(c_0_364,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_363]),c_0_112])]) ).
thf(c_0_365,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_322]),c_0_112])]) ).
thf(c_0_366,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_365,c_0_112]) ).
thf(c_0_367,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_366]),c_0_141]) ).
thf(c_0_368,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_367,c_0_355]) ).
thf(c_0_369,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_368]) ).
thf(c_0_370,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_369,c_0_366]) ).
thf(c_0_371,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_370]),c_0_112])]) ).
thf(c_0_372,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_322]),c_0_112])]) ).
thf(c_0_373,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_372,c_0_112]) ).
thf(c_0_374,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_356,c_0_373]) ).
thf(c_0_375,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_374]) ).
thf(c_0_376,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_370]),c_0_112])]) ).
thf(c_0_377,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_375,c_0_373]) ).
thf(c_0_378,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_377]),c_0_112])]) ).
thf(c_0_379,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_322]),c_0_112])]) ).
thf(c_0_380,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_322]),c_0_112])]) ).
thf(c_0_381,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_380]),c_0_112])]) ).
thf(c_0_382,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_381]),c_0_53])]) ).
thf(c_0_383,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_382,c_0_112]) ).
thf(c_0_384,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_383]),c_0_117]),c_0_126]) ).
thf(c_0_385,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_382,c_0_53]) ).
thf(c_0_386,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
thf(c_0_387,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_386]),c_0_121]) ).
thf(c_0_388,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_386]),c_0_131]) ).
thf(c_0_389,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_387,c_0_383]) ).
thf(c_0_390,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
thf(c_0_391,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_390]),c_0_121]) ).
thf(c_0_392,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_391,c_0_383]) ).
thf(c_0_393,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_392]),c_0_121]) ).
thf(c_0_394,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_393,c_0_383]) ).
thf(c_0_395,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_394]),c_0_141]) ).
thf(c_0_396,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_395,c_0_390]) ).
thf(c_0_397,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_396]),c_0_131]) ).
thf(c_0_398,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_397,c_0_394]) ).
thf(c_0_399,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_398]),c_0_112])]) ).
thf(c_0_400,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_399,c_0_381]),c_0_53])]) ).
thf(c_0_401,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_400]),c_0_53])]) ).
thf(c_0_402,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_401,c_0_112]) ).
thf(c_0_403,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_402,c_0_112]) ).
thf(c_0_404,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_401,c_0_53]) ).
thf(c_0_405,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_403,c_0_112]) ).
thf(c_0_406,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred5_0 ) @ ( esk10_2 @ X2 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_404,c_0_53]) ).
thf(c_0_407,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_405]),c_0_117]) ).
thf(c_0_408,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_406,c_0_53]) ).
thf(c_0_409,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
thf(c_0_410,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_409]),c_0_121]) ).
thf(c_0_411,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_410,c_0_405]) ).
thf(c_0_412,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_411]),c_0_117]) ).
thf(c_0_413,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_412,c_0_408]) ).
thf(c_0_414,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_413]),c_0_131]) ).
thf(c_0_415,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_414,c_0_411]) ).
thf(c_0_416,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_415]),c_0_121]) ).
thf(c_0_417,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_416,c_0_405]) ).
thf(c_0_418,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_417]),c_0_121]) ).
thf(c_0_419,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_418,c_0_405]) ).
thf(c_0_420,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_419]),c_0_141]) ).
thf(c_0_421,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_420,c_0_415]) ).
thf(c_0_422,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_421]),c_0_131]) ).
thf(c_0_423,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_422,c_0_419]) ).
thf(c_0_424,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_423]),c_0_112])]) ).
thf(c_0_425,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_424,c_0_400]),c_0_53])]) ).
thf(c_0_426,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_425,c_0_112]) ).
thf(c_0_427,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_426]),c_0_117]) ).
thf(c_0_428,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_427,c_0_408]) ).
thf(c_0_429,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_428]),c_0_131]) ).
thf(c_0_430,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_426]),c_0_141]) ).
thf(c_0_431,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_429,c_0_426]) ).
thf(c_0_432,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_430,c_0_431]) ).
thf(c_0_433,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_432]),c_0_131]) ).
thf(c_0_434,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_433,c_0_426]) ).
thf(c_0_435,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_434]),c_0_112])]) ).
thf(c_0_436,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_435,c_0_400]),c_0_53])]) ).
thf(c_0_437,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_436,c_0_112]) ).
thf(c_0_438,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_437]),c_0_117]) ).
thf(c_0_439,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_438,c_0_408]) ).
thf(c_0_440,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_439]),c_0_121]) ).
thf(c_0_441,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_440,c_0_437]) ).
thf(c_0_442,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_441]),c_0_121]) ).
thf(c_0_443,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_442,c_0_437]) ).
thf(c_0_444,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_443]),c_0_121]) ).
thf(c_0_445,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_434]),c_0_112])]) ).
thf(c_0_446,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_444,c_0_437]) ).
thf(c_0_447,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_446]),c_0_112])]) ).
thf(c_0_448,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_400]),c_0_53])]) ).
thf(c_0_449,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_448]),c_0_53])]) ).
thf(c_0_450,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_449,c_0_400]),c_0_53])]) ).
thf(c_0_451,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_450,c_0_53]) ).
thf(c_0_452,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_451]),c_0_121]) ).
thf(c_0_453,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_452,c_0_405]) ).
thf(c_0_454,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_453]),c_0_121]) ).
thf(c_0_455,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_454,c_0_405]) ).
thf(c_0_456,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_455]),c_0_141]) ).
thf(c_0_457,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_456,c_0_451]) ).
thf(c_0_458,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_457]),c_0_131]) ).
thf(c_0_459,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_458,c_0_455]) ).
thf(c_0_460,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_459]),c_0_112])]) ).
thf(c_0_461,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_400]),c_0_53])]) ).
thf(c_0_462,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_461,c_0_112]) ).
thf(c_0_463,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_462]),c_0_141]) ).
thf(c_0_464,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_463,c_0_451]) ).
thf(c_0_465,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_464]),c_0_131]) ).
thf(c_0_466,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_465,c_0_462]) ).
thf(c_0_467,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_466]),c_0_112])]) ).
thf(c_0_468,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_400]),c_0_53])]) ).
thf(c_0_469,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_468,c_0_112]) ).
thf(c_0_470,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_452,c_0_469]) ).
thf(c_0_471,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_470]),c_0_121]) ).
thf(c_0_472,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_466]),c_0_112])]) ).
thf(c_0_473,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_471,c_0_469]) ).
thf(c_0_474,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_473]),c_0_112])]) ).
thf(c_0_475,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_400]),c_0_53])]) ).
thf(c_0_476,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_475]),c_0_53])]) ).
thf(c_0_477,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_400]),c_0_53])]) ).
thf(c_0_478,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_477,c_0_53]) ).
thf(c_0_479,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_407,c_0_478]) ).
thf(c_0_480,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_479]),c_0_121]) ).
thf(c_0_481,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_480,c_0_405]) ).
thf(c_0_482,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_481]),c_0_117]) ).
thf(c_0_483,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_482,c_0_478]) ).
thf(c_0_484,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_483]),c_0_131]) ).
thf(c_0_485,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_484,c_0_481]) ).
thf(c_0_486,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_485]),c_0_112])]) ).
thf(c_0_487,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_486,c_0_400]),c_0_53])]) ).
thf(c_0_488,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_487,c_0_112]) ).
thf(c_0_489,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_488]),c_0_117]) ).
thf(c_0_490,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_489,c_0_478]) ).
thf(c_0_491,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_490]),c_0_131]) ).
thf(c_0_492,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_491,c_0_488]) ).
thf(c_0_493,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_492]),c_0_112])]) ).
thf(c_0_494,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_493,c_0_400]),c_0_53])]) ).
thf(c_0_495,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_494,c_0_112]) ).
thf(c_0_496,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_495]),c_0_117]) ).
thf(c_0_497,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_496,c_0_478]) ).
thf(c_0_498,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_497]),c_0_121]) ).
thf(c_0_499,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_492]),c_0_112])]) ).
thf(c_0_500,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_498,c_0_495]) ).
thf(c_0_501,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_500]),c_0_112])]) ).
thf(c_0_502,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_475]),c_0_53])]) ).
thf(c_0_503,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_501,c_0_400]),c_0_53])]) ).
thf(c_0_504,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_502,c_0_503]),c_0_53])]) ).
thf(c_0_505,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_400]),c_0_53])]) ).
thf(c_0_506,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_504,c_0_400]),c_0_53])]) ).
thf(c_0_507,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_506]),c_0_112])]) ).
thf(c_0_508,negated_conjecture,
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_505,c_0_507]),c_0_53])]) ).
thf(c_0_509,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_508]) ).
thf(c_0_510,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_58]) ).
thf(c_0_511,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X4 @ X5 @ X7 @ X8 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_508]) ).
thf(c_0_512,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_510]),c_0_508]) ).
thf(c_0_513,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_512]) ).
thf(c_0_514,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_513]),c_0_508]) ).
thf(c_0_515,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_514]),c_0_53])]) ).
thf(c_0_516,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_515,c_0_53]) ).
thf(c_0_517,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_516,c_0_53]) ).
thf(c_0_518,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_517]) ).
thf(c_0_519,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_518]),c_0_508]) ).
thf(c_0_520,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_519]),c_0_53])]) ).
thf(c_0_521,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_520,c_0_53]) ).
thf(c_0_522,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_521,c_0_53]) ).
thf(c_0_523,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_522]) ).
thf(c_0_524,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_519]),c_0_53])]) ).
thf(c_0_525,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_523]),c_0_508]) ).
thf(c_0_526,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_524,c_0_525]),c_0_53])]) ).
thf(c_0_527,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_526,c_0_53]) ).
thf(c_0_528,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_527]) ).
thf(c_0_529,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_528]),c_0_508]) ).
thf(c_0_530,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_529]) ).
thf(c_0_531,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_530]),c_0_508]) ).
thf(c_0_532,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_531]),c_0_53])]) ).
thf(c_0_533,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_532,c_0_53]) ).
thf(c_0_534,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_533]) ).
thf(c_0_535,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_534]),c_0_508]) ).
thf(c_0_536,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_535]) ).
thf(c_0_537,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_536]),c_0_508]) ).
thf(c_0_538,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_537]),c_0_53])]) ).
thf(c_0_539,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_538,c_0_53]) ).
thf(c_0_540,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred5_0 ) @ ( esk10_2 @ X2 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred5_0 ) @ ( esk8_2 @ X2 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_539,c_0_53]) ).
thf(c_0_541,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_540,c_0_53]) ).
thf(c_0_542,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_541]) ).
thf(c_0_543,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_542]),c_0_508]) ).
thf(c_0_544,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_543]) ).
thf(c_0_545,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_544]),c_0_508]) ).
thf(c_0_546,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_545]),c_0_53])]) ).
thf(c_0_547,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_546,c_0_537]),c_0_53])]) ).
thf(c_0_548,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_547,c_0_53]) ).
thf(c_0_549,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_511,c_0_548]) ).
thf(c_0_550,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_549]),c_0_508]) ).
thf(c_0_551,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_550]),c_0_53])]) ).
thf(c_0_552,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_551,c_0_537]),c_0_53])]) ).
thf(c_0_553,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_552,c_0_53]) ).
thf(c_0_554,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_509,c_0_553]) ).
thf(c_0_555,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_550]),c_0_53])]) ).
thf(c_0_556,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_554]),c_0_508]) ).
thf(c_0_557,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_555,c_0_556]),c_0_53])]) ).
thf(c_0_558,negated_conjecture,
! [X2: a > a > $o] :
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_537]),c_0_53])]) ).
thf(c_0_559,negated_conjecture,
( ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_557,c_0_537]),c_0_53])]) ).
thf(c_0_560,negated_conjecture,
epred5_0 @ esk1_0 @ esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_558,c_0_559]),c_0_53])]) ).
thf(c_0_561,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_560])]) ).
thf(c_0_562,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_560])]) ).
thf(c_0_563,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_561,c_0_562]) ).
thf(c_0_564,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_560])]) ).
thf(c_0_565,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_563]),c_0_112])]),c_0_564]) ).
thf(c_0_566,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_565,c_0_112]),c_0_564]) ).
thf(c_0_567,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_566,c_0_112]),c_0_561]) ).
thf(c_0_568,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_567]),c_0_112])]),c_0_564]) ).
thf(c_0_569,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_568,c_0_112]),c_0_564]) ).
thf(c_0_570,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_560])]) ).
thf(c_0_571,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_569,c_0_112]) ).
thf(c_0_572,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( epred2_0 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_567]),c_0_112])]),c_0_564]) ).
thf(c_0_573,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_570,c_0_571]) ).
thf(c_0_574,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_572,c_0_573]),c_0_112])]) ).
thf(c_0_575,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_574,c_0_112]),c_0_564]) ).
thf(c_0_576,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_570,c_0_575]),c_0_561]) ).
thf(c_0_577,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_576]),c_0_112])]),c_0_564]) ).
thf(c_0_578,negated_conjecture,
epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_577,c_0_112]),c_0_564]),c_0_561]),c_0_570]) ).
thf(c_0_579,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_578]),c_0_112])]),c_0_564]) ).
thf(c_0_580,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_579,c_0_112]) ).
thf(c_0_581,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_580,c_0_112]) ).
thf(c_0_582,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_581,c_0_112]),c_0_564]) ).
thf(c_0_583,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_570,c_0_582]) ).
thf(c_0_584,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_561,c_0_583]) ).
thf(c_0_585,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_584]),c_0_112])]),c_0_564]) ).
thf(c_0_586,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_585,c_0_578]),c_0_112])]),c_0_564]) ).
thf(c_0_587,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_586,c_0_112]),c_0_561]) ).
thf(c_0_588,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_587]),c_0_112])]),c_0_564]) ).
thf(c_0_589,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_588,c_0_578]),c_0_112])]),c_0_564]) ).
thf(c_0_590,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_589,c_0_112]) ).
thf(c_0_591,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_587]),c_0_112])]),c_0_564]) ).
thf(c_0_592,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_570,c_0_590]) ).
thf(c_0_593,negated_conjecture,
! [X2: a > a > $o] :
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_591,c_0_592]),c_0_112])]) ).
thf(c_0_594,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_578]),c_0_112])]),c_0_564]) ).
thf(c_0_595,negated_conjecture,
epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_593,c_0_578]),c_0_112])]),c_0_564]) ).
thf(c_0_596,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_594,c_0_595]),c_0_112])]),c_0_564]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV119^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:48:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.21/0.50 Running higher-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.OKUENydQKD/E---3.1_10645.p
% 196.46/25.27 # Version: 3.2.0-ho
% 196.46/25.27 # Preprocessing class: HSMSSMSSSSSNHHN.
% 196.46/25.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 196.46/25.27 # Starting new_ho_12 with 1200s (4) cores
% 196.46/25.27 # Starting sh3l with 600s (2) cores
% 196.46/25.27 # Starting ehoh_best5_lambda with 300s (1) cores
% 196.46/25.27 # Starting lpo9_lambda_fix with 300s (1) cores
% 196.46/25.27 # new_ho_12 with pid 10752 completed with status 0
% 196.46/25.27 # Result found by new_ho_12
% 196.46/25.27 # Preprocessing class: HSMSSMSSSSSNHHN.
% 196.46/25.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 196.46/25.27 # Starting new_ho_12 with 1200s (4) cores
% 196.46/25.27 # No SInE strategy applied
% 196.46/25.27 # Search class: HGHNF-FFMF21-SHHFFSBN
% 196.46/25.27 # partial match(2): HGHNF-FFMF00-SHHFFSBN
% 196.46/25.27 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 196.46/25.27 # Starting sh2lt with 246s (1) cores
% 196.46/25.27 # Starting new_ho_12 with 121s (1) cores
% 196.46/25.27 # Starting new_bool_1 with 245s (1) cores
% 196.46/25.27 # Starting sh2l with 244s (1) cores
% 196.46/25.27 # sh2lt with pid 10762 completed with status 0
% 196.46/25.27 # Result found by sh2lt
% 196.46/25.27 # Preprocessing class: HSMSSMSSSSSNHHN.
% 196.46/25.27 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 196.46/25.27 # Starting new_ho_12 with 1200s (4) cores
% 196.46/25.27 # No SInE strategy applied
% 196.46/25.27 # Search class: HGHNF-FFMF21-SHHFFSBN
% 196.46/25.27 # partial match(2): HGHNF-FFMF00-SHHFFSBN
% 196.46/25.27 # Scheduled 6 strats onto 4 cores with 1200 seconds (1200 total)
% 196.46/25.27 # Starting sh2lt with 246s (1) cores
% 196.46/25.27 # Preprocessing time : 0.002 s
% 196.46/25.27 # Presaturation interreduction done
% 196.46/25.27
% 196.46/25.27 # Proof found!
% 196.46/25.27 # SZS status Theorem
% 196.46/25.27 # SZS output start CNFRefutation
% See solution above
% 196.46/25.27 # Parsed axioms : 2
% 196.46/25.27 # Removed by relevancy pruning/SinE : 0
% 196.46/25.27 # Initial clauses : 43
% 196.46/25.27 # Removed in clause preprocessing : 1
% 196.46/25.27 # Initial clauses in saturation : 42
% 196.46/25.27 # Processed clauses : 22683
% 196.46/25.27 # ...of these trivial : 0
% 196.46/25.27 # ...subsumed : 15465
% 196.46/25.27 # ...remaining for further processing : 7218
% 196.46/25.27 # Other redundant clauses eliminated : 0
% 196.46/25.27 # Clauses deleted for lack of memory : 0
% 196.46/25.27 # Backward-subsumed : 6600
% 196.46/25.27 # Backward-rewritten : 219
% 196.46/25.27 # Generated clauses : 675354
% 196.46/25.27 # ...of the previous two non-redundant : 674116
% 196.46/25.27 # ...aggressively subsumed : 0
% 196.46/25.27 # Contextual simplify-reflections : 2651
% 196.46/25.27 # Paramodulations : 674662
% 196.46/25.27 # Factorizations : 204
% 196.46/25.27 # NegExts : 11
% 196.46/25.27 # Equation resolutions : 0
% 196.46/25.27 # Disequality decompositions : 0
% 196.46/25.27 # Total rewrite steps : 8660
% 196.46/25.27 # ...of those cached : 8655
% 196.46/25.27 # Propositional unsat checks : 1
% 196.46/25.27 # Propositional check models : 1
% 196.46/25.27 # Propositional check unsatisfiable : 0
% 196.46/25.27 # Propositional clauses : 0
% 196.46/25.27 # Propositional clauses after purity: 0
% 196.46/25.27 # Propositional unsat core size : 0
% 196.46/25.27 # Propositional preprocessing time : 0.000
% 196.46/25.27 # Propositional encoding time : 0.634
% 196.46/25.27 # Propositional solver time : 0.022
% 196.46/25.27 # Success case prop preproc time : 0.000
% 196.46/25.27 # Success case prop encoding time : 0.000
% 196.46/25.27 # Success case prop solver time : 0.000
% 196.46/25.27 # Current number of processed clauses : 135
% 196.46/25.27 # Positive orientable unit clauses : 5
% 196.46/25.27 # Positive unorientable unit clauses: 0
% 196.46/25.27 # Negative unit clauses : 1
% 196.46/25.27 # Non-unit-clauses : 129
% 196.46/25.27 # Current number of unprocessed clauses: 614806
% 196.46/25.27 # ...number of literals in the above : 9904274
% 196.46/25.27 # Current number of archived formulas : 0
% 196.46/25.27 # Current number of archived clauses : 7083
% 196.46/25.27 # Clause-clause subsumption calls (NU) : 8028847
% 196.46/25.27 # Rec. Clause-clause subsumption calls : 34775
% 196.46/25.27 # Non-unit clause-clause subsumptions : 24666
% 196.46/25.27 # Unit Clause-clause subsumption calls : 1063
% 196.46/25.27 # Rewrite failures with RHS unbound : 0
% 196.46/25.27 # BW rewrite match attempts : 5
% 196.46/25.27 # BW rewrite match successes : 5
% 196.46/25.27 # Condensation attempts : 0
% 196.46/25.27 # Condensation successes : 0
% 196.46/25.27 # Termbank termtop insertions : 98873635
% 196.46/25.27 # Search garbage collected termcells : 771
% 196.46/25.27
% 196.46/25.27 # -------------------------------------------------
% 196.46/25.27 # User time : 23.944 s
% 196.46/25.27 # System time : 0.543 s
% 196.46/25.27 # Total time : 24.486 s
% 196.46/25.27 # Maximum resident set size: 2612 pages
% 196.46/25.27
% 196.46/25.27 # -------------------------------------------------
% 196.46/25.27 # User time : 96.216 s
% 196.46/25.27 # System time : 1.464 s
% 196.46/25.27 # Total time : 97.680 s
% 196.46/25.27 # Maximum resident set size: 2032 pages
% 196.46/25.27 % E---3.1 exiting
% 196.46/25.27 % E exiting
%------------------------------------------------------------------------------