%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEV119^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:35:59 AM UTC 2026
% Result : Theorem 236.06s 34.49s
% Output : CNFRefutation 236.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: ( a > a > $o ) > $o ).
thf(decl_24,type,
epred2_0: a > a > $o ).
thf(decl_25,type,
epred3_0: a > a > $o ).
thf(decl_26,type,
esk1_0: a ).
thf(decl_27,type,
esk2_0: a ).
thf(decl_28,type,
epred4_0: a > a > $o ).
thf(decl_29,type,
epred5_0: a > a > $o ).
thf(decl_30,type,
epred6_2: a > a > a > a > $o ).
thf(decl_31,type,
epred7_2: a > a > a > a > $o ).
thf(decl_32,type,
esk3_1: ( a > a > $o ) > a ).
thf(decl_33,type,
esk4_1: ( a > a > $o ) > a ).
thf(decl_34,type,
esk5_1: ( a > a > $o ) > a ).
thf(decl_35,type,
esk6_1: ( a > a > $o ) > a ).
thf(decl_36,type,
esk7_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_37,type,
esk8_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_38,type,
esk9_2: ( a > a > $o ) > ( a > a > $o ) > a ).
thf(decl_39,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/sandbox2/tmp/tmp.oFMUAatvUQ/E---3.1_2786181.p',cTHM252_pme) ).
thf(c_0_1,negated_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 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM252_pme]) ).
thf(c_0_2,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)],[c_0_1])]) ).
thf(c_0_3,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_2])])])])])]) ).
thf(c_0_4,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_3]) ).
thf(c_0_5,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_3]) ).
thf(c_0_6,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ( epred1_0 @ epred4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,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_3]) ).
thf(c_0_9,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred2_0 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_4]) ).
thf(c_0_10,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: 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 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_8]) ).
thf(c_0_12,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_3]) ).
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_3]) ).
thf(c_0_14,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ( 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 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_7]) ).
thf(c_0_15,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_6]),c_0_7]) ).
thf(c_0_16,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_6]),c_0_7]) ).
thf(c_0_17,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_6]),c_0_7]) ).
thf(c_0_18,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ X3 ) @ ( esk8_2 @ X2 @ X3 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X6 @ ( esk9_2 @ X2 @ X6 ) @ ( esk10_2 @ X2 @ X6 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 ) ),
inference(ef,[status(thm)],[c_0_13]) ).
thf(c_0_19,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( 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 ) )
| ( 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_14,c_0_6]),c_0_15]) ).
thf(c_0_20,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_16]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ epred5_0 )
| ~ ( epred4_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_17,c_0_6]),c_0_7]) ).
thf(c_0_22,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_3]) ).
thf(c_0_23,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( 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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_6]),c_0_7]) ).
thf(c_0_24,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_3]) ).
thf(c_0_25,negated_conjecture,
( ( epred3_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 ) )
| ( 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_19,c_0_6]),c_0_15]) ).
thf(c_0_26,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_3]) ).
thf(c_0_27,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 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_6]),c_0_21]) ).
thf(c_0_28,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ X2 @ X3 ) @ ( esk8_2 @ X2 @ X3 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X6 @ ( esk9_2 @ X2 @ X6 ) @ ( esk10_2 @ X2 @ X6 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 ) ),
inference(ef,[status(thm)],[c_0_22]) ).
thf(c_0_29,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_6]),c_0_15]) ).
thf(c_0_30,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 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]) ).
thf(c_0_31,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_6]),c_0_7]) ).
thf(c_0_32,negated_conjecture,
( ( epred2_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 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_6]),c_0_15]) ).
thf(c_0_33,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 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_30]) ).
thf(c_0_34,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_6]),c_0_21]) ).
thf(c_0_35,negated_conjecture,
( ( epred2_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 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_36,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_3]) ).
thf(c_0_37,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_6]),c_0_21]) ).
thf(c_0_38,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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_24,c_0_35]),c_0_26]) ).
thf(c_0_39,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_3]) ).
thf(c_0_40,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X6 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_36]) ).
thf(c_0_41,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_33]) ).
thf(c_0_42,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_3]) ).
thf(c_0_43,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: 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 )
| ~ ( X6 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_39]) ).
thf(c_0_44,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 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk7_2 @ epred4_0 @ X3 ) @ ( esk8_2 @ epred4_0 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_6]),c_0_7]) ).
thf(c_0_45,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_41]) ).
thf(c_0_46,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o,X6: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X6 ) @ ( esk6_1 @ X6 ) )
| ( X6 @ esk1_0 @ esk2_0 )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk7_2 @ X6 @ X3 ) @ ( esk8_2 @ X6 @ X3 ) )
| ~ ( X3 @ ( esk9_2 @ X6 @ X3 ) @ ( esk10_2 @ X6 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 ) ),
inference(ef,[status(thm)],[c_0_42]) ).
thf(c_0_47,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X3 @ ( esk7_2 @ epred4_0 @ X3 ) @ ( esk8_2 @ epred4_0 @ X3 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_6]),c_0_7]) ).
thf(c_0_48,negated_conjecture,
! [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 ) )
| ( 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_44,c_0_6]),c_0_45]),c_0_15]) ).
thf(c_0_49,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk7_2 @ X3 @ X2 ) @ ( esk8_2 @ X3 @ X2 ) )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_6]),c_0_7]) ).
thf(c_0_50,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_6]),c_0_21]) ).
thf(c_0_51,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 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_6]),c_0_15]) ).
thf(c_0_52,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_3]) ).
thf(c_0_53,negated_conjecture,
! [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 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk7_2 @ X2 @ epred4_0 ) @ ( esk8_2 @ X2 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk9_2 @ X2 @ epred4_0 ) @ ( esk10_2 @ X2 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_6]) ).
thf(c_0_54,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_6]),c_0_21]) ).
thf(c_0_55,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 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_51]),c_0_26]) ).
thf(c_0_56,negated_conjecture,
! [X6: a > a > $o,X3: a > a > $o,X2: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X6 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X6 @ ( esk7_2 @ X3 @ X6 ) @ ( esk8_2 @ X3 @ X6 ) )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_52]) ).
thf(c_0_57,negated_conjecture,
( ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_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 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_6]),c_0_7]),c_0_15]) ).
thf(c_0_58,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_45]) ).
thf(c_0_59,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( X2 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_6]),c_0_7]) ).
thf(c_0_60,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
thf(c_0_61,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_58]) ).
thf(c_0_62,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_6]),c_0_21]) ).
thf(c_0_63,negated_conjecture,
( ( 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_60,c_0_61]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_6]),c_0_21]) ).
thf(c_0_65,negated_conjecture,
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred1_0 @ epred5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_63]),c_0_26]) ).
thf(c_0_66,negated_conjecture,
epred1_0 @ epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_61]),c_0_45]) ).
thf(c_0_67,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_5]) ).
thf(c_0_68,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ X3 ) @ ( esk10_2 @ epred5_0 @ X3 ) )
| ( 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 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_66]) ).
thf(c_0_69,negated_conjecture,
( ( 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 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_67,c_0_66]) ).
thf(c_0_70,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_66]),c_0_69]) ).
thf(c_0_71,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_3]) ).
thf(c_0_72,negated_conjecture,
( ( epred3_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 ) )
| ( 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_70,c_0_66]),c_0_69]) ).
thf(c_0_73,negated_conjecture,
( ( epred1_0 @ epred4_0 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_74,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ~ ( X2 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_12]) ).
thf(c_0_75,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_3]) ).
thf(c_0_76,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
thf(c_0_77,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ X3 ) @ ( esk10_2 @ epred5_0 @ X3 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_66]) ).
thf(c_0_78,negated_conjecture,
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_74,c_0_66]) ).
thf(c_0_79,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_3]) ).
thf(c_0_80,negated_conjecture,
( ( epred3_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 ) )
| ( 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_75,c_0_76]) ).
thf(c_0_81,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_66]),c_0_78]) ).
thf(c_0_82,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_3]) ).
thf(c_0_83,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( 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_79,c_0_80]) ).
thf(c_0_84,negated_conjecture,
( ( epred3_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_66]),c_0_78]) ).
thf(c_0_85,negated_conjecture,
( ( epred3_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 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_86,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( 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 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk9_2 @ epred5_0 @ X3 ) @ ( esk10_2 @ epred5_0 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_66]) ).
thf(c_0_87,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 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_73]) ).
thf(c_0_88,negated_conjecture,
! [X2: a > a > $o] :
( ( 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 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_66]),c_0_69]) ).
thf(c_0_89,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 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_87]) ).
thf(c_0_90,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_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 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_66]),c_0_69]) ).
thf(c_0_91,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 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_89]) ).
thf(c_0_92,negated_conjecture,
( ( 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 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_73]) ).
thf(c_0_93,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_92]) ).
thf(c_0_94,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk9_2 @ epred5_0 @ X3 ) @ ( esk10_2 @ epred5_0 @ X3 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_66]) ).
thf(c_0_95,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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_75,c_0_93]) ).
thf(c_0_96,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_66]),c_0_78]) ).
thf(c_0_97,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_95]) ).
thf(c_0_98,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_66]),c_0_78]) ).
thf(c_0_99,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_97]) ).
thf(c_0_100,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 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk7_2 @ epred5_0 @ X3 ) @ ( esk8_2 @ epred5_0 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_66]) ).
thf(c_0_101,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_91]),c_0_73]) ).
thf(c_0_102,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( 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 )
| ~ ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_66]),c_0_69]) ).
thf(c_0_103,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
thf(c_0_104,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 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_66]),c_0_69]) ).
thf(c_0_105,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_103]) ).
thf(c_0_106,negated_conjecture,
( ( epred3_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 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_73]) ).
thf(c_0_107,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_106]) ).
thf(c_0_108,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk7_2 @ epred5_0 @ X3 ) @ ( esk8_2 @ epred5_0 @ X3 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_66]) ).
thf(c_0_109,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 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_107]) ).
thf(c_0_110,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o] :
( ( epred3_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( epred2_0 @ ( esk3_1 @ X2 ) @ ( esk4_1 @ X2 ) )
| ( X3 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X6 @ ( esk5_1 @ X2 ) @ ( esk6_1 @ X2 ) )
| ( X2 @ esk1_0 @ esk2_0 )
| ~ ( X6 @ ( esk7_2 @ X2 @ X6 ) @ ( esk8_2 @ X2 @ X6 ) )
| ~ ( X3 @ ( esk9_2 @ X2 @ X3 ) @ ( esk10_2 @ X2 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_42]) ).
thf(c_0_111,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_66]),c_0_78]) ).
thf(c_0_112,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_109]) ).
thf(c_0_113,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( 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 ) )
| ( X3 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ~ ( X3 @ ( esk9_2 @ epred5_0 @ X3 ) @ ( esk10_2 @ epred5_0 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_66]) ).
thf(c_0_114,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_66]),c_0_78]) ).
thf(c_0_115,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_112]) ).
thf(c_0_116,negated_conjecture,
! [X2: a > a > $o] :
( ( 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 )
| ~ ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_66]),c_0_69]) ).
thf(c_0_117,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_105]),c_0_73]) ).
thf(c_0_118,negated_conjecture,
( ( 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 @ ( 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 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_66]),c_0_69]) ).
thf(c_0_119,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_117]) ).
thf(c_0_120,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 )
| ~ ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_105]),c_0_73]) ).
thf(c_0_121,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_119]) ).
thf(c_0_122,negated_conjecture,
( ( 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_120,c_0_121]) ).
thf(c_0_123,negated_conjecture,
! [X2: a > a > $o,X6: a > a > $o,X3: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ( X6 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ X3 @ X2 ) @ ( esk8_2 @ X3 @ X2 ) )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( X6 @ ( esk3_1 @ X6 ) @ ( esk4_1 @ X6 ) )
| ~ ( epred1_0 @ X6 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(ef,[status(thm)],[c_0_52]) ).
thf(c_0_124,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 ) )
| ( epred5_0 @ X4 @ X5 )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_122]) ).
thf(c_0_125,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( X2 @ ( esk5_1 @ X3 ) @ ( esk6_1 @ X3 ) )
| ( X3 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ X3 @ X2 ) @ ( esk8_2 @ X3 @ X2 ) )
| ~ ( X2 @ ( esk9_2 @ X3 @ X2 ) @ ( esk10_2 @ X3 @ X2 ) )
| ~ ( X3 @ ( esk3_1 @ X3 ) @ ( esk4_1 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(ef,[status(thm)],[c_0_123]) ).
thf(c_0_126,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_75,c_0_124]) ).
thf(c_0_127,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ ( esk5_1 @ epred5_0 ) @ ( esk6_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ epred5_0 @ X2 ) @ ( esk8_2 @ epred5_0 @ X2 ) )
| ~ ( X2 @ ( esk9_2 @ epred5_0 @ X2 ) @ ( esk10_2 @ epred5_0 @ X2 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_125,c_0_66]) ).
thf(c_0_128,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_79,c_0_126]) ).
thf(c_0_129,negated_conjecture,
( ( epred5_0 @ esk1_0 @ esk2_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 ) )
| ~ ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_66]),c_0_78]) ).
thf(c_0_130,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred1_0 @ epred4_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_128]) ).
thf(c_0_131,negated_conjecture,
epred1_0 @ epred4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_121]),c_0_105]),c_0_73]) ).
thf(c_0_132,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ( 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 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_131]) ).
thf(c_0_133,negated_conjecture,
( ( 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 )
| ~ ( epred4_0 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_67,c_0_131]) ).
thf(c_0_134,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( 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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_131]),c_0_133]) ).
thf(c_0_135,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_131]) ).
thf(c_0_136,negated_conjecture,
( ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_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_74,c_0_131]) ).
thf(c_0_137,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_3]) ).
thf(c_0_138,negated_conjecture,
( ( epred3_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 ) )
| ( 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_131]),c_0_133]) ).
thf(c_0_139,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_3]) ).
thf(c_0_140,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_3]) ).
thf(c_0_141,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_3]) ).
thf(c_0_142,negated_conjecture,
( ~ ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_143,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_3]) ).
thf(c_0_144,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_131]),c_0_136]) ).
thf(c_0_145,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 @ ( 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_137,c_0_138]),c_0_139]),c_0_140]) ).
thf(c_0_146,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 @ ( 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_141,c_0_138]),c_0_142]),c_0_143]) ).
thf(c_0_147,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_3]) ).
thf(c_0_148,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_3]) ).
thf(c_0_149,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_3]) ).
thf(c_0_150,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_131]),c_0_136]) ).
thf(c_0_151,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_72]),c_0_146]) ).
thf(c_0_152,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_72]),c_0_142]) ).
thf(c_0_153,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_138]),c_0_148]),c_0_149]) ).
thf(c_0_154,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_152]) ).
thf(c_0_155,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 ) )
| ( epred3_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 ) )
| ( epred2_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 ) ) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
thf(c_0_156,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_3]) ).
thf(c_0_157,negated_conjecture,
( ( epred3_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 ) )
| ( 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 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_155]) ).
thf(c_0_158,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_157]) ).
thf(c_0_159,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_3]) ).
thf(c_0_160,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_138]),c_0_150]) ).
thf(c_0_161,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_3]) ).
thf(c_0_162,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( 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 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_161]) ).
thf(c_0_163,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_3]) ).
thf(c_0_164,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_3]) ).
thf(c_0_165,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_3]) ).
thf(c_0_166,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( 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 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_162]),c_0_155]) ).
thf(c_0_167,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_138]),c_0_164]),c_0_165]) ).
thf(c_0_168,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_150,c_0_166]) ).
thf(c_0_169,negated_conjecture,
( ( epred3_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 ) )
| ( epred3_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_150]) ).
thf(c_0_170,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 ) )
| ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_169]) ).
thf(c_0_171,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( 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 @ 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_137,c_0_170]),c_0_139]) ).
thf(c_0_172,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_170]),c_0_148]) ).
thf(c_0_173,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 ) )
| ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( 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_171,c_0_72]) ).
thf(c_0_174,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 ) )
| ( 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 ) )
| ( 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_172,c_0_173]),c_0_84]) ).
thf(c_0_175,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( 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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_131]) ).
thf(c_0_176,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( 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 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_174]),c_0_141]) ).
thf(c_0_177,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_174]),c_0_142]) ).
thf(c_0_178,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_131]),c_0_133]) ).
thf(c_0_179,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_170]),c_0_164]) ).
thf(c_0_180,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 ) )
| ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_170]),c_0_177]) ).
thf(c_0_181,negated_conjecture,
( ( epred2_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 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_131]),c_0_133]) ).
thf(c_0_182,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 ) )
| ( 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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_84]) ).
thf(c_0_183,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_131]) ).
thf(c_0_184,negated_conjecture,
( ( epred3_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 ) )
| ( epred2_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
thf(c_0_185,negated_conjecture,
! [X2: a > a > $o] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_131]),c_0_136]) ).
thf(c_0_186,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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_137,c_0_184]),c_0_139]),c_0_140]) ).
thf(c_0_187,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_131]),c_0_136]) ).
thf(c_0_188,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_186,c_0_72]) ).
thf(c_0_189,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_184]),c_0_148]),c_0_149]) ).
thf(c_0_190,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( 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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_182]),c_0_152]) ).
thf(c_0_191,negated_conjecture,
( ( epred3_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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_84]) ).
thf(c_0_192,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_191]),c_0_182]) ).
thf(c_0_193,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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_156,c_0_192]),c_0_141]) ).
thf(c_0_194,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred2_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 ) )
| ( 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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_184]) ).
thf(c_0_195,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_194]),c_0_161]) ).
thf(c_0_196,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred2_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_195]),c_0_191]) ).
thf(c_0_197,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_184]),c_0_164]),c_0_165]) ).
thf(c_0_198,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred2_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_196]),c_0_182]) ).
thf(c_0_199,negated_conjecture,
( ( epred3_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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_84]) ).
thf(c_0_200,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_199]),c_0_182]) ).
thf(c_0_201,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 @ ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_200]),c_0_146]),c_0_150]) ).
thf(c_0_202,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred7_2 @ X4 @ X5 @ ( 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 ) )
| ( 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 ) )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_201]),c_0_139]) ).
thf(c_0_203,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 @ 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 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_202]) ).
thf(c_0_204,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 @ 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 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_201]),c_0_142]) ).
thf(c_0_205,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 @ 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_200]),c_0_204]) ).
thf(c_0_206,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 ) )
| ( epred2_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_205]) ).
thf(c_0_207,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred7_2 @ X4 @ X5 @ ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_206]),c_0_139]),c_0_140]) ).
thf(c_0_208,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_207]) ).
thf(c_0_209,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 @ 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_206]),c_0_142]),c_0_143]) ).
thf(c_0_210,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 @ 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 @ ( 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_208,c_0_200]),c_0_209]) ).
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 ) )
| ( epred2_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_210]),c_0_205]) ).
thf(c_0_212,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 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_211]),c_0_150]) ).
thf(c_0_213,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_212]),c_0_148]) ).
thf(c_0_214,negated_conjecture,
( ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_213,c_0_211]) ).
thf(c_0_215,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 ) )
| ( epred2_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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_214]) ).
thf(c_0_216,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_215]),c_0_148]),c_0_149]) ).
thf(c_0_217,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_216,c_0_211]) ).
thf(c_0_218,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_217]),c_0_214]) ).
thf(c_0_219,negated_conjecture,
( ( epred2_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 ) )
| ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_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_90,c_0_218]) ).
thf(c_0_220,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_219]),c_0_146]),c_0_150]) ).
thf(c_0_221,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_220]),c_0_150]) ).
thf(c_0_222,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_221]) ).
thf(c_0_223,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_138]),c_0_150]) ).
thf(c_0_224,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_223]),c_0_161]) ).
thf(c_0_225,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_224]) ).
thf(c_0_226,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_221]),c_0_150]) ).
thf(c_0_227,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_226]),c_0_150]) ).
thf(c_0_228,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_227]),c_0_218]) ).
thf(c_0_229,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 ) )
| ( 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_137,c_0_228]),c_0_139]) ).
thf(c_0_230,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_228]),c_0_148]) ).
thf(c_0_231,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_219]) ).
thf(c_0_232,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_230,c_0_231]) ).
thf(c_0_233,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_232]),c_0_141]) ).
thf(c_0_234,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_228]),c_0_164]) ).
thf(c_0_235,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_233,c_0_228]) ).
thf(c_0_236,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_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_234,c_0_235]) ).
thf(c_0_237,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_236]),c_0_218]) ).
thf(c_0_238,negated_conjecture,
( ( epred2_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 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_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_181,c_0_237]) ).
thf(c_0_239,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 @ ( 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_137,c_0_238]),c_0_139]),c_0_140]) ).
thf(c_0_240,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_239,c_0_219]) ).
thf(c_0_241,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_238]),c_0_148]),c_0_149]) ).
thf(c_0_242,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_240]),c_0_237]) ).
thf(c_0_243,negated_conjecture,
( ( epred2_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 ) )
| ( epred2_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_241,c_0_242]) ).
thf(c_0_244,negated_conjecture,
( ( epred2_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_243]),c_0_237]) ).
thf(c_0_245,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_244]),c_0_141]) ).
thf(c_0_246,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ ( 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_245,c_0_238]) ).
thf(c_0_247,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred2_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_246]),c_0_161]) ).
thf(c_0_248,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_247]) ).
thf(c_0_249,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_248,c_0_244]) ).
thf(c_0_250,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_238]),c_0_164]),c_0_165]) ).
thf(c_0_251,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_249]),c_0_237]) ).
thf(c_0_252,negated_conjecture,
( ( epred2_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_250,c_0_251]) ).
thf(c_0_253,negated_conjecture,
( ( epred2_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_252]),c_0_237]) ).
thf(c_0_254,negated_conjecture,
( ( epred2_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_253]),c_0_218]) ).
thf(c_0_255,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 @ 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_140,c_0_254]),c_0_139]) ).
thf(c_0_256,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_254]),c_0_148]) ).
thf(c_0_257,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred7_2 @ X4 @ X5 @ ( 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_255,c_0_72]) ).
thf(c_0_258,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 @ 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_159,c_0_254]),c_0_161]) ).
thf(c_0_259,negated_conjecture,
( ( epred3_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 ) )
| ( 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_256,c_0_257]),c_0_84]) ).
thf(c_0_260,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_254]),c_0_164]) ).
thf(c_0_261,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_258,c_0_259]) ).
thf(c_0_262,negated_conjecture,
( ( epred3_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_261]),c_0_84]) ).
thf(c_0_263,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_255,c_0_262]) ).
thf(c_0_264,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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_256,c_0_263]) ).
thf(c_0_265,negated_conjecture,
( ( 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 ) )
| ( 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 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_264]) ).
thf(c_0_266,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( 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_255,c_0_265]) ).
thf(c_0_267,negated_conjecture,
( ( 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 ) )
| ( 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(spm,[status(thm)],[c_0_256,c_0_266]) ).
thf(c_0_268,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 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk7_2 @ epred4_0 @ X3 ) @ ( esk8_2 @ epred4_0 @ X3 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_131]) ).
thf(c_0_269,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( 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_258,c_0_267]) ).
thf(c_0_270,negated_conjecture,
! [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 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_131]),c_0_133]) ).
thf(c_0_271,negated_conjecture,
( ( 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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_260,c_0_269]) ).
thf(c_0_272,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 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_131]),c_0_133]) ).
thf(c_0_273,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_271]),c_0_264]) ).
thf(c_0_274,negated_conjecture,
! [X3: a > a > $o,X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X3 @ ( esk7_2 @ epred4_0 @ X3 ) @ ( esk8_2 @ epred4_0 @ X3 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_131]) ).
thf(c_0_275,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_272,c_0_273]) ).
thf(c_0_276,negated_conjecture,
! [X2: a > a > $o] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_131]),c_0_136]) ).
thf(c_0_277,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 @ ( 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_137,c_0_275]),c_0_139]),c_0_140]) ).
thf(c_0_278,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_131]),c_0_136]) ).
thf(c_0_279,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred3_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_277,c_0_72]) ).
thf(c_0_280,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_275]),c_0_148]),c_0_149]) ).
thf(c_0_281,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_273]),c_0_152]) ).
thf(c_0_282,negated_conjecture,
( ( epred3_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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_84]) ).
thf(c_0_283,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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_282]),c_0_273]) ).
thf(c_0_284,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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_156,c_0_283]),c_0_141]) ).
thf(c_0_285,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred3_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 ) )
| ( 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_284,c_0_275]) ).
thf(c_0_286,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_285]),c_0_161]) ).
thf(c_0_287,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred3_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_286]),c_0_282]) ).
thf(c_0_288,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_275]),c_0_164]),c_0_165]) ).
thf(c_0_289,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_287]),c_0_273]) ).
thf(c_0_290,negated_conjecture,
( ( epred3_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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_84]) ).
thf(c_0_291,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_290]),c_0_273]) ).
thf(c_0_292,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 @ 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_137,c_0_291]),c_0_139]) ).
thf(c_0_293,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_291]),c_0_148]) ).
thf(c_0_294,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_292,c_0_72]) ).
thf(c_0_295,negated_conjecture,
! [X2: a > a > $o,X3: a > a > $o] :
( ( 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 ) )
| ( X3 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ~ ( X3 @ ( esk9_2 @ epred4_0 @ X3 ) @ ( esk10_2 @ epred4_0 @ X3 ) )
| ~ ( epred1_0 @ X2 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_131]) ).
thf(c_0_296,negated_conjecture,
( ( 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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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_293,c_0_294]),c_0_84]) ).
thf(c_0_297,negated_conjecture,
! [X2: a > a > $o] :
( ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_131]),c_0_133]) ).
thf(c_0_298,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_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_156,c_0_296]),c_0_141]) ).
thf(c_0_299,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_296]),c_0_142]) ).
thf(c_0_300,negated_conjecture,
( ( 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 )
| ~ ( 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 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_131]),c_0_133]) ).
thf(c_0_301,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_291]),c_0_164]) ).
thf(c_0_302,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_291]),c_0_299]) ).
thf(c_0_303,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_300,c_0_273]) ).
thf(c_0_304,negated_conjecture,
( ( 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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_84]) ).
thf(c_0_305,negated_conjecture,
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
thf(c_0_306,negated_conjecture,
! [X2: a > a > $o] :
( ( X2 @ ( esk5_1 @ epred4_0 ) @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( X2 @ ( esk7_2 @ epred4_0 @ X2 ) @ ( esk8_2 @ epred4_0 @ X2 ) )
| ~ ( X2 @ ( esk9_2 @ epred4_0 @ X2 ) @ ( esk10_2 @ epred4_0 @ X2 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred1_0 @ X2 ) ),
inference(spm,[status(thm)],[c_0_125,c_0_131]) ).
thf(c_0_307,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 ) )
| ( 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_137,c_0_305]),c_0_139]),c_0_140]) ).
thf(c_0_308,negated_conjecture,
( ( epred4_0 @ esk1_0 @ esk2_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_131]),c_0_136]) ).
thf(c_0_309,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_307,c_0_72]) ).
thf(c_0_310,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_305]),c_0_148]),c_0_149]) ).
thf(c_0_311,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred7_2 @ X4 @ X5 @ ( 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_309]),c_0_304]),c_0_273]),c_0_152]) ).
thf(c_0_312,negated_conjecture,
( ( epred3_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 ) )
| ( 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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_84]) ).
thf(c_0_313,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 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_312]),c_0_304]),c_0_273]) ).
thf(c_0_314,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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_156,c_0_313]),c_0_141]) ).
thf(c_0_315,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_314,c_0_305]) ).
thf(c_0_316,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_315]),c_0_161]) ).
thf(c_0_317,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_316]),c_0_312]) ).
thf(c_0_318,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_305]),c_0_164]),c_0_165]) ).
thf(c_0_319,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_317]),c_0_304]),c_0_273]) ).
thf(c_0_320,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_84]) ).
thf(c_0_321,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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_320]),c_0_304]),c_0_273]) ).
thf(c_0_322,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 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_277,c_0_321]) ).
thf(c_0_323,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 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_322]),c_0_273]) ).
thf(c_0_324,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: 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 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_323]),c_0_139]) ).
thf(c_0_325,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 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_324]),c_0_304]) ).
thf(c_0_326,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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_325]) ).
thf(c_0_327,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_326]),c_0_139]),c_0_140]) ).
thf(c_0_328,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_327]) ).
thf(c_0_329,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_328,c_0_321]) ).
thf(c_0_330,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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_329]),c_0_325]),c_0_273]) ).
thf(c_0_331,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_330]) ).
thf(c_0_332,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_331]),c_0_273]) ).
thf(c_0_333,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_332]),c_0_148]) ).
thf(c_0_334,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_333,c_0_330]) ).
thf(c_0_335,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 ) )
| ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_334]) ).
thf(c_0_336,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_335]),c_0_148]),c_0_149]) ).
thf(c_0_337,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_336,c_0_330]) ).
thf(c_0_338,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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_337]),c_0_334]),c_0_273]) ).
thf(c_0_339,negated_conjecture,
( ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_338]) ).
thf(c_0_340,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_277,c_0_339]) ).
thf(c_0_341,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_340]),c_0_273]) ).
thf(c_0_342,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_341]) ).
thf(c_0_343,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_342]),c_0_273]) ).
thf(c_0_344,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_343]),c_0_141]) ).
thf(c_0_345,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_344,c_0_275]) ).
thf(c_0_346,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_345]),c_0_161]) ).
thf(c_0_347,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_346]) ).
thf(c_0_348,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_347,c_0_343]) ).
thf(c_0_349,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_348]),c_0_273]) ).
thf(c_0_350,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_288,c_0_349]) ).
thf(c_0_351,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_350]),c_0_273]) ).
thf(c_0_352,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_351]),c_0_338]) ).
thf(c_0_353,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 @ 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_137,c_0_352]),c_0_139]) ).
thf(c_0_354,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_352]),c_0_148]) ).
thf(c_0_355,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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_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_353,c_0_339]) ).
thf(c_0_356,negated_conjecture,
( ( 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 ) )
| ( 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_354,c_0_355]) ).
thf(c_0_357,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_356]),c_0_141]) ).
thf(c_0_358,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_352]),c_0_164]) ).
thf(c_0_359,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 ) )
| ( 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_357,c_0_352]) ).
thf(c_0_360,negated_conjecture,
( ( 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 @ ( 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_358,c_0_359]) ).
thf(c_0_361,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_360]),c_0_338]) ).
thf(c_0_362,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_361]) ).
thf(c_0_363,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ 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_137,c_0_362]),c_0_139]),c_0_140]) ).
thf(c_0_364,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_363,c_0_339]) ).
thf(c_0_365,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_362]),c_0_148]),c_0_149]) ).
thf(c_0_366,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_364]),c_0_361]),c_0_273]) ).
thf(c_0_367,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_365,c_0_366]) ).
thf(c_0_368,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_367]),c_0_361]),c_0_273]) ).
thf(c_0_369,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ 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_156,c_0_368]),c_0_141]) ).
thf(c_0_370,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ ( 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_369,c_0_362]) ).
thf(c_0_371,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_370]),c_0_161]) ).
thf(c_0_372,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_371]) ).
thf(c_0_373,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_372,c_0_368]) ).
thf(c_0_374,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_362]),c_0_164]),c_0_165]) ).
thf(c_0_375,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_373]),c_0_361]),c_0_273]) ).
thf(c_0_376,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
thf(c_0_377,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_376]),c_0_361]),c_0_273]) ).
thf(c_0_378,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_377]),c_0_338]) ).
thf(c_0_379,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 @ 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_156,c_0_378]),c_0_141]) ).
thf(c_0_380,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_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_379,c_0_138]),c_0_150]) ).
thf(c_0_381,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_380]),c_0_161]) ).
thf(c_0_382,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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_381]) ).
thf(c_0_383,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_378]),c_0_146]),c_0_150]) ).
thf(c_0_384,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_379,c_0_383]) ).
thf(c_0_385,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_384]) ).
thf(c_0_386,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 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_385]) ).
thf(c_0_387,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( 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 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_379,c_0_386]) ).
thf(c_0_388,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_387]) ).
thf(c_0_389,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_388]),c_0_161]) ).
thf(c_0_390,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_389]) ).
thf(c_0_391,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_386]),c_0_142]),c_0_143]) ).
thf(c_0_392,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 @ ( 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_390,c_0_378]),c_0_391]) ).
thf(c_0_393,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_392]),c_0_385]) ).
thf(c_0_394,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: 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 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_393]),c_0_161]) ).
thf(c_0_395,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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_394]) ).
thf(c_0_396,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 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_393]),c_0_142]) ).
thf(c_0_397,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_378]),c_0_396]) ).
thf(c_0_398,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_272,c_0_397]) ).
thf(c_0_399,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_379,c_0_398]) ).
thf(c_0_400,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_399]) ).
thf(c_0_401,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_400]),c_0_161]) ).
thf(c_0_402,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_401]) ).
thf(c_0_403,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_398]),c_0_142]),c_0_143]) ).
thf(c_0_404,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_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_402,c_0_378]),c_0_403]) ).
thf(c_0_405,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_404]),c_0_397]) ).
thf(c_0_406,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_379,c_0_405]) ).
thf(c_0_407,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_300,c_0_397]) ).
thf(c_0_408,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_406]) ).
thf(c_0_409,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_407,c_0_408]) ).
thf(c_0_410,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_409]) ).
thf(c_0_411,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 ) )
| ( epred6_2 @ X7 @ X8 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_379,c_0_410]) ).
thf(c_0_412,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(ef,[status(thm)],[c_0_411]) ).
thf(c_0_413,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_412]),c_0_161]) ).
thf(c_0_414,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_413]) ).
thf(c_0_415,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_410]),c_0_142]),c_0_143]) ).
thf(c_0_416,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_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_414,c_0_378]),c_0_415]) ).
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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_416]),c_0_408]),c_0_397]) ).
thf(c_0_418,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_417]),c_0_150]) ).
thf(c_0_419,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_418]),c_0_164]) ).
thf(c_0_420,negated_conjecture,
( ( 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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_419,c_0_417]) ).
thf(c_0_421,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 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_420]) ).
thf(c_0_422,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_421]),c_0_164]),c_0_165]) ).
thf(c_0_423,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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_422,c_0_417]) ).
thf(c_0_424,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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_423]),c_0_420]) ).
thf(c_0_425,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 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_424]),c_0_164]) ).
thf(c_0_426,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_425,c_0_417]) ).
thf(c_0_427,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_272,c_0_426]) ).
thf(c_0_428,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_427]),c_0_164]),c_0_165]) ).
thf(c_0_429,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_428,c_0_417]) ).
thf(c_0_430,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_429]),c_0_426]) ).
thf(c_0_431,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 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_430]),c_0_164]) ).
thf(c_0_432,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_300,c_0_426]) ).
thf(c_0_433,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_431,c_0_417]) ).
thf(c_0_434,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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_432,c_0_433]) ).
thf(c_0_435,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_434]),c_0_164]),c_0_165]) ).
thf(c_0_436,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_435,c_0_417]) ).
thf(c_0_437,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_436]),c_0_433]),c_0_426]) ).
thf(c_0_438,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_437]) ).
thf(c_0_439,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_438]),c_0_146]),c_0_150]) ).
thf(c_0_440,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_439]),c_0_150]) ).
thf(c_0_441,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ( epred4_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X7 @ X8 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_440]) ).
thf(c_0_442,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_138]),c_0_150]) ).
thf(c_0_443,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( 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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_442]),c_0_161]) ).
thf(c_0_444,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_443]) ).
thf(c_0_445,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_444,c_0_440]),c_0_150]) ).
thf(c_0_446,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_445]),c_0_150]) ).
thf(c_0_447,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_446]),c_0_437]) ).
thf(c_0_448,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ 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_137,c_0_447]),c_0_139]) ).
thf(c_0_449,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_447]),c_0_148]) ).
thf(c_0_450,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_448,c_0_438]) ).
thf(c_0_451,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_449,c_0_450]) ).
thf(c_0_452,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( 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 @ 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_156,c_0_451]),c_0_141]) ).
thf(c_0_453,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_447]),c_0_164]) ).
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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_452,c_0_447]) ).
thf(c_0_455,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 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_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_453,c_0_454]) ).
thf(c_0_456,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 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_455]),c_0_437]) ).
thf(c_0_457,negated_conjecture,
( ( epred3_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 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_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_181,c_0_456]) ).
thf(c_0_458,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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_137,c_0_457]),c_0_139]),c_0_140]) ).
thf(c_0_459,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_458,c_0_438]) ).
thf(c_0_460,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_457]),c_0_148]),c_0_149]) ).
thf(c_0_461,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_459]),c_0_456]) ).
thf(c_0_462,negated_conjecture,
( ( epred3_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 ) )
| ( epred2_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_460,c_0_461]) ).
thf(c_0_463,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_462]),c_0_456]) ).
thf(c_0_464,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ 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_156,c_0_463]),c_0_141]) ).
thf(c_0_465,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ ( 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_464,c_0_457]) ).
thf(c_0_466,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_465]),c_0_161]) ).
thf(c_0_467,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_466]) ).
thf(c_0_468,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_467,c_0_463]) ).
thf(c_0_469,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_457]),c_0_164]),c_0_165]) ).
thf(c_0_470,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_468]),c_0_456]) ).
thf(c_0_471,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_469,c_0_470]) ).
thf(c_0_472,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_471]),c_0_456]) ).
thf(c_0_473,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_472]),c_0_437]) ).
thf(c_0_474,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_473]),c_0_146]),c_0_150]) ).
thf(c_0_475,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred7_2 @ X4 @ X5 @ ( 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 ) )
| ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_474]),c_0_139]) ).
thf(c_0_476,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 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_475]) ).
thf(c_0_477,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 @ 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 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_474]),c_0_142]) ).
thf(c_0_478,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 @ 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_473]),c_0_477]) ).
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 ) )
| ( epred2_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_478]) ).
thf(c_0_480,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred7_2 @ X4 @ X5 @ ( 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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_479]),c_0_139]),c_0_140]) ).
thf(c_0_481,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 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_480]) ).
thf(c_0_482,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 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_479]),c_0_142]),c_0_143]) ).
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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_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_481,c_0_473]),c_0_482]) ).
thf(c_0_484,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 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_483]),c_0_478]) ).
thf(c_0_485,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_484]),c_0_150]) ).
thf(c_0_486,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_485]),c_0_148]) ).
thf(c_0_487,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 ) )
| ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_486,c_0_484]) ).
thf(c_0_488,negated_conjecture,
( ( 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 ) )
| ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_487]) ).
thf(c_0_489,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_488]),c_0_148]),c_0_149]) ).
thf(c_0_490,negated_conjecture,
( ( 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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_489,c_0_484]) ).
thf(c_0_491,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ~ ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_118,c_0_437]) ).
thf(c_0_492,negated_conjecture,
( ( 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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_490]),c_0_487]) ).
thf(c_0_493,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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_491,c_0_492]) ).
thf(c_0_494,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_493]),c_0_146]),c_0_150]) ).
thf(c_0_495,negated_conjecture,
( ( epred3_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 ) )
| ( 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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_494]),c_0_150]) ).
thf(c_0_496,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_495]) ).
thf(c_0_497,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_496,c_0_138]),c_0_150]) ).
thf(c_0_498,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( 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 ) )
| ( 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 ) )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_497]),c_0_161]) ).
thf(c_0_499,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( 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 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_498]) ).
thf(c_0_500,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_499,c_0_495]),c_0_150]) ).
thf(c_0_501,negated_conjecture,
( ( epred3_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_500]),c_0_150]) ).
thf(c_0_502,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_501]),c_0_492]),c_0_437]) ).
thf(c_0_503,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 @ 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_137,c_0_502]),c_0_139]) ).
thf(c_0_504,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_502]),c_0_148]) ).
thf(c_0_505,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_503,c_0_493]) ).
thf(c_0_506,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 ) )
| ( 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_504,c_0_505]) ).
thf(c_0_507,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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_506]),c_0_141]) ).
thf(c_0_508,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_502]),c_0_164]) ).
thf(c_0_509,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 ) )
| ( 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_507,c_0_502]) ).
thf(c_0_510,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_508,c_0_509]) ).
thf(c_0_511,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_510]),c_0_492]),c_0_437]) ).
thf(c_0_512,negated_conjecture,
( ( epred2_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_511]) ).
thf(c_0_513,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 @ ( 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_137,c_0_512]),c_0_139]),c_0_140]) ).
thf(c_0_514,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_513,c_0_493]) ).
thf(c_0_515,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_512]),c_0_148]),c_0_149]) ).
thf(c_0_516,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_514]),c_0_511]) ).
thf(c_0_517,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred2_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_515,c_0_516]) ).
thf(c_0_518,negated_conjecture,
( ( 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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_517]),c_0_511]) ).
thf(c_0_519,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred2_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 @ ( 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_156,c_0_518]),c_0_141]) ).
thf(c_0_520,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_519,c_0_512]) ).
thf(c_0_521,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred2_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 @ ( 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 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_520]),c_0_161]) ).
thf(c_0_522,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_521]) ).
thf(c_0_523,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_522,c_0_518]) ).
thf(c_0_524,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_512]),c_0_164]),c_0_165]) ).
thf(c_0_525,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_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 @ ( 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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_523]),c_0_511]) ).
thf(c_0_526,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_524,c_0_525]) ).
thf(c_0_527,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_526]),c_0_511]) ).
thf(c_0_528,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_527]),c_0_492]),c_0_437]) ).
thf(c_0_529,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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_140,c_0_528]),c_0_139]) ).
thf(c_0_530,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_528]),c_0_148]) ).
thf(c_0_531,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred7_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred2_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_529,c_0_438]) ).
thf(c_0_532,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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_159,c_0_528]),c_0_161]) ).
thf(c_0_533,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_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_530,c_0_531]) ).
thf(c_0_534,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_528]),c_0_164]) ).
thf(c_0_535,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_532,c_0_533]) ).
thf(c_0_536,negated_conjecture,
( ( epred3_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 @ ( 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_534,c_0_535]) ).
thf(c_0_537,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_536]),c_0_437]) ).
thf(c_0_538,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_529,c_0_537]) ).
thf(c_0_539,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_530,c_0_538]) ).
thf(c_0_540,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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_491,c_0_539]) ).
thf(c_0_541,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 ) )
| ( epred2_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_529,c_0_540]) ).
thf(c_0_542,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_530,c_0_541]) ).
thf(c_0_543,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 @ ( 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_532,c_0_542]) ).
thf(c_0_544,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_534,c_0_543]) ).
thf(c_0_545,negated_conjecture,
( ( epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_544]),c_0_539]),c_0_437]) ).
thf(c_0_546,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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_272,c_0_545]) ).
thf(c_0_547,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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 @ 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_137,c_0_546]),c_0_139]),c_0_140]) ).
thf(c_0_548,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_547,c_0_438]) ).
thf(c_0_549,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_546]),c_0_148]),c_0_149]) ).
thf(c_0_550,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_548]),c_0_545]) ).
thf(c_0_551,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_549,c_0_550]) ).
thf(c_0_552,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_551]),c_0_545]) ).
thf(c_0_553,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ 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_156,c_0_552]),c_0_141]) ).
thf(c_0_554,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_553,c_0_546]) ).
thf(c_0_555,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_554]),c_0_161]) ).
thf(c_0_556,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_555]) ).
thf(c_0_557,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_556,c_0_552]) ).
thf(c_0_558,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_546]),c_0_164]),c_0_165]) ).
thf(c_0_559,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_557]),c_0_545]) ).
thf(c_0_560,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_558,c_0_559]) ).
thf(c_0_561,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_560]),c_0_545]) ).
thf(c_0_562,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_561]),c_0_437]) ).
thf(c_0_563,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 @ 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_137,c_0_562]),c_0_139]) ).
thf(c_0_564,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_562]),c_0_148]) ).
thf(c_0_565,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_563,c_0_438]) ).
thf(c_0_566,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_564,c_0_565]) ).
thf(c_0_567,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_566]),c_0_141]) ).
thf(c_0_568,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_562]),c_0_164]) ).
thf(c_0_569,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_567,c_0_562]) ).
thf(c_0_570,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_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_568,c_0_569]) ).
thf(c_0_571,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_300,c_0_545]) ).
thf(c_0_572,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_570]),c_0_437]) ).
thf(c_0_573,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_571,c_0_572]) ).
thf(c_0_574,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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_137,c_0_573]),c_0_139]),c_0_140]) ).
thf(c_0_575,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_574,c_0_438]) ).
thf(c_0_576,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_573]),c_0_148]),c_0_149]) ).
thf(c_0_577,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_575]),c_0_572]),c_0_545]) ).
thf(c_0_578,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 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_576,c_0_577]) ).
thf(c_0_579,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_578]),c_0_572]),c_0_545]) ).
thf(c_0_580,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ 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_156,c_0_579]),c_0_141]) ).
thf(c_0_581,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred6_2 @ X4 @ X5 @ ( 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 @ ( 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_580,c_0_573]) ).
thf(c_0_582,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_581]),c_0_161]) ).
thf(c_0_583,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( 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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_582]) ).
thf(c_0_584,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_583,c_0_579]) ).
thf(c_0_585,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_573]),c_0_164]),c_0_165]) ).
thf(c_0_586,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_584]),c_0_572]),c_0_545]) ).
thf(c_0_587,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_585,c_0_586]) ).
thf(c_0_588,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ 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(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_587]),c_0_572]),c_0_545]) ).
thf(c_0_589,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_588]),c_0_437]) ).
thf(c_0_590,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_547,c_0_589]) ).
thf(c_0_591,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_590]),c_0_545]) ).
thf(c_0_592,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: 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 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_591]),c_0_139]) ).
thf(c_0_593,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_592]) ).
thf(c_0_594,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_593,c_0_589]) ).
thf(c_0_595,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_571,c_0_594]) ).
thf(c_0_596,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred7_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred3_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_595]),c_0_139]),c_0_140]) ).
thf(c_0_597,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_596]) ).
thf(c_0_598,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_597,c_0_589]) ).
thf(c_0_599,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_598]),c_0_594]),c_0_545]) ).
thf(c_0_600,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_549,c_0_599]) ).
thf(c_0_601,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_600]),c_0_545]) ).
thf(c_0_602,negated_conjecture,
! [X4: a,X5: 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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_601]),c_0_148]) ).
thf(c_0_603,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_602,c_0_599]) ).
thf(c_0_604,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_571,c_0_603]) ).
thf(c_0_605,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_604]),c_0_148]),c_0_149]) ).
thf(c_0_606,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_605,c_0_599]) ).
thf(c_0_607,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_606]),c_0_603]),c_0_545]) ).
thf(c_0_608,negated_conjecture,
( ( 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_491,c_0_607]) ).
thf(c_0_609,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_547,c_0_608]) ).
thf(c_0_610,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_609]),c_0_545]) ).
thf(c_0_611,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 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_549,c_0_610]) ).
thf(c_0_612,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_611]),c_0_545]) ).
thf(c_0_613,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred3_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 @ 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_156,c_0_612]),c_0_141]) ).
thf(c_0_614,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_613,c_0_546]) ).
thf(c_0_615,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_614]),c_0_161]) ).
thf(c_0_616,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_615]) ).
thf(c_0_617,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_616,c_0_612]) ).
thf(c_0_618,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_617]),c_0_545]) ).
thf(c_0_619,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_558,c_0_618]) ).
thf(c_0_620,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_619]),c_0_545]) ).
thf(c_0_621,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_620]),c_0_607]),c_0_437]) ).
thf(c_0_622,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 @ 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_137,c_0_621]),c_0_139]) ).
thf(c_0_623,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_621]),c_0_148]) ).
thf(c_0_624,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_622,c_0_608]) ).
thf(c_0_625,negated_conjecture,
( ( epred4_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 @ ( 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_623,c_0_624]) ).
thf(c_0_626,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: 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 @ ( 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_156,c_0_625]),c_0_141]) ).
thf(c_0_627,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_621]),c_0_164]) ).
thf(c_0_628,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 @ ( 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_626,c_0_621]) ).
thf(c_0_629,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_627,c_0_628]) ).
thf(c_0_630,negated_conjecture,
( ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_629]),c_0_607]),c_0_437]) ).
thf(c_0_631,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_571,c_0_630]) ).
thf(c_0_632,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( 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_137,c_0_631]),c_0_139]),c_0_140]) ).
thf(c_0_633,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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_632,c_0_608]) ).
thf(c_0_634,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_631]),c_0_148]),c_0_149]) ).
thf(c_0_635,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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_633]),c_0_630]),c_0_545]) ).
thf(c_0_636,negated_conjecture,
( ( epred2_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 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_634,c_0_635]) ).
thf(c_0_637,negated_conjecture,
( ( 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 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_636]),c_0_630]),c_0_545]) ).
thf(c_0_638,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_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_156,c_0_637]),c_0_141]) ).
thf(c_0_639,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 ) )
| ( epred4_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 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_638,c_0_631]) ).
thf(c_0_640,negated_conjecture,
! [X4: a,X5: a,X7: a,X8: a,X10: a,X11: a] :
( ( 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 @ esk1_0 @ esk2_0 )
| ( epred6_2 @ X7 @ X8 @ X10 @ X11 )
| ( epred5_0 @ X4 @ X5 )
| ( epred5_0 @ X7 @ X8 )
| ~ ( epred2_0 @ X10 @ X11 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_639]),c_0_161]) ).
thf(c_0_641,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred2_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) ) ),
inference(ef,[status(thm)],[c_0_640]) ).
thf(c_0_642,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 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_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_641,c_0_637]) ).
thf(c_0_643,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_631]),c_0_164]),c_0_165]) ).
thf(c_0_644,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 )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_642]),c_0_630]),c_0_545]) ).
thf(c_0_645,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_643,c_0_644]) ).
thf(c_0_646,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred4_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_645]),c_0_630]),c_0_545]) ).
thf(c_0_647,negated_conjecture,
( ( epred4_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_646]),c_0_607]),c_0_437]) ).
thf(c_0_648,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred7_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_148,c_0_647]) ).
thf(c_0_649,negated_conjecture,
( ( epred3_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 ) )
| ( 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_648,c_0_311]),c_0_84]) ).
thf(c_0_650,negated_conjecture,
! [X4: a,X5: a] :
( ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 )
| ~ ( epred6_2 @ X4 @ X5 @ X4 @ X5 ) ),
inference(spm,[status(thm)],[c_0_164,c_0_647]) ).
thf(c_0_651,negated_conjecture,
! [X4: a,X5: a] :
( ( 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 ) )
| ( epred6_2 @ X4 @ X5 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_649]),c_0_647]) ).
thf(c_0_652,negated_conjecture,
( ( epred3_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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_650,c_0_651]),c_0_84]) ).
thf(c_0_653,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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_652]),c_0_647]) ).
thf(c_0_654,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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_648,c_0_653]) ).
thf(c_0_655,negated_conjecture,
( ( 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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_654]) ).
thf(c_0_656,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_655]),c_0_647]) ).
thf(c_0_657,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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(spm,[status(thm)],[c_0_648,c_0_656]) ).
thf(c_0_658,negated_conjecture,
! [X4: a,X5: a] :
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_657]),c_0_647]) ).
thf(c_0_659,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_650,c_0_658]) ).
thf(c_0_660,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_659]),c_0_654]) ).
thf(c_0_661,negated_conjecture,
! [X4: a,X5: a] :
( ( epred6_2 @ X4 @ X5 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_660]),c_0_417]) ).
thf(c_0_662,negated_conjecture,
( ( epred5_0 @ ( esk7_2 @ epred5_0 @ epred5_0 ) @ ( esk8_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_650,c_0_661]) ).
thf(c_0_663,negated_conjecture,
( ( epred3_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 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_662]) ).
thf(c_0_664,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_663]),c_0_647]) ).
thf(c_0_665,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 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_648,c_0_664]) ).
thf(c_0_666,negated_conjecture,
! [X4: a,X5: a] :
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_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 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_665]),c_0_647]) ).
thf(c_0_667,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_650,c_0_666]) ).
thf(c_0_668,negated_conjecture,
( ( epred3_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_667]),c_0_662]) ).
thf(c_0_669,negated_conjecture,
! [X4: a,X5: a] :
( ( epred7_2 @ X4 @ X5 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_668]),c_0_647]) ).
thf(c_0_670,negated_conjecture,
( ( 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 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) ) ),
inference(spm,[status(thm)],[c_0_118,c_0_662]) ).
thf(c_0_671,negated_conjecture,
( ( epred5_0 @ ( esk9_2 @ epred5_0 @ epred5_0 ) @ ( esk10_2 @ epred5_0 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_648,c_0_669]) ).
thf(c_0_672,negated_conjecture,
( ( 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_670,c_0_671]) ).
thf(c_0_673,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 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 )
| ( epred5_0 @ X4 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_672]),c_0_647]) ).
thf(c_0_674,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(spm,[status(thm)],[c_0_648,c_0_673]) ).
thf(c_0_675,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_674]),c_0_647]) ).
thf(c_0_676,negated_conjecture,
( ( epred5_0 @ ( esk3_1 @ epred5_0 ) @ ( esk4_1 @ epred5_0 ) )
| ( epred5_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_650,c_0_675]) ).
thf(c_0_677,negated_conjecture,
epred5_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_676]),c_0_671]),c_0_662]) ).
thf(c_0_678,negated_conjecture,
( ( epred3_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 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_677])]) ).
thf(c_0_679,negated_conjecture,
~ ( epred4_0 @ esk1_0 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_677])]) ).
thf(c_0_680,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred3_0 @ X4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_677])]) ).
thf(c_0_681,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 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_678]),c_0_679]) ).
thf(c_0_682,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 ) ) ),
inference(spm,[status(thm)],[c_0_680,c_0_681]) ).
thf(c_0_683,negated_conjecture,
( ( epred2_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 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_682]),c_0_679]) ).
thf(c_0_684,negated_conjecture,
! [X4: a,X5: a] :
( ( epred4_0 @ X4 @ X5 )
| ~ ( epred2_0 @ X4 @ X5 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_677])]) ).
thf(c_0_685,negated_conjecture,
( ( epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ) )
| ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_683]),c_0_684]) ).
thf(c_0_686,negated_conjecture,
epred2_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_685]),c_0_679]),c_0_682]) ).
thf(c_0_687,negated_conjecture,
epred4_0 @ ( esk7_2 @ epred4_0 @ epred4_0 ) @ ( esk8_2 @ epred4_0 @ epred4_0 ),
inference(spm,[status(thm)],[c_0_684,c_0_686]) ).
thf(c_0_688,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 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_687])]),c_0_679]) ).
thf(c_0_689,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 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_687])]),c_0_679]) ).
thf(c_0_690,negated_conjecture,
epred3_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_688]),c_0_684]),c_0_689]) ).
thf(c_0_691,negated_conjecture,
( ( epred3_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_687])]),c_0_679]) ).
thf(c_0_692,negated_conjecture,
epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ),
inference(spm,[status(thm)],[c_0_680,c_0_690]) ).
thf(c_0_693,negated_conjecture,
( ~ ( epred4_0 @ ( esk9_2 @ epred4_0 @ epred4_0 ) @ ( esk10_2 @ epred4_0 @ epred4_0 ) )
| ~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_308,c_0_687])]),c_0_679]) ).
thf(c_0_694,negated_conjecture,
( ( 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_691,c_0_692])]) ).
thf(c_0_695,negated_conjecture,
~ ( epred4_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_693,c_0_692])]) ).
thf(c_0_696,negated_conjecture,
epred2_0 @ ( esk3_1 @ epred4_0 ) @ ( esk4_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_694]),c_0_695]) ).
thf(c_0_697,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_696]),c_0_695]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV119^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 % Computer : n014.cluster.edu
% 0.12/0.27 % Model : x86_64 x86_64
% 0.12/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.27 % Memory : 8046.5625MB
% 0.12/0.27 % OS : Linux 6.8.0-71-generic
% 0.12/0.27 % CPULimit : 300
% 0.12/0.27 % WCLimit : 300
% 0.12/0.27 % DateTime : Tue Sep 29 15:12:00 UTC 2026
% 0.12/0.27 % CPUTime :
% 0.12/0.27 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.34 Running higher-order theorem proving
% 0.27/0.36 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.oFMUAatvUQ/E---3.1_2786181.p
% 236.06/34.49 % Version: 3.5.1-ho
% 236.06/34.49 % Preprocessing class: HSMSSMSSSSSNHHN.
% 236.06/34.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 236.06/34.49 % Starting new_ho_12 with 1200s (4) cores
% 236.06/34.49 % Starting sh3l with 600s (2) cores
% 236.06/34.49 % Starting ehoh_best5_lambda with 300s (1) cores
% 236.06/34.49 % Starting lpo9_lambda_fix with 300s (1) cores
% 236.06/34.49 % lpo9_lambda_fix with pid 2786197 completed with status 0
% 236.06/34.49 % Result found by lpo9_lambda_fix
% 236.06/34.49 % Preprocessing class: HSMSSMSSSSSNHHN.
% 236.06/34.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 236.06/34.49 % Starting new_ho_12 with 1200s (4) cores
% 236.06/34.49 % Starting sh3l with 600s (2) cores
% 236.06/34.49 % Starting ehoh_best5_lambda with 300s (1) cores
% 236.06/34.49 % Starting lpo9_lambda_fix with 300s (1) cores
% 236.06/34.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 236.06/34.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 236.06/34.49 % Search class: HGHNF-FFMF21-SHHFFSBN
% 236.06/34.49 % partial match(2): HGHNF-FFMF00-SHHFFSBN
% 236.06/34.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 236.06/34.49 % Starting SubtermCWHack with 28s (1) cores
% 236.06/34.49 % SubtermCWHack with pid 2786198 completed with status 8
% 236.06/34.49 % Starting lpo9_lambda_fix with 31s (1) cores
% 236.06/34.49 % lpo9_lambda_fix with pid 2786958 completed with status 0
% 236.06/34.49 % Result found by lpo9_lambda_fix
% 236.06/34.49 % Preprocessing class: HSMSSMSSSSSNHHN.
% 236.06/34.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 236.06/34.49 % Starting new_ho_12 with 1200s (4) cores
% 236.06/34.49 % Starting sh3l with 600s (2) cores
% 236.06/34.49 % Starting ehoh_best5_lambda with 300s (1) cores
% 236.06/34.49 % Starting lpo9_lambda_fix with 300s (1) cores
% 236.06/34.49 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 236.06/34.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 236.06/34.49 % Search class: HGHNF-FFMF21-SHHFFSBN
% 236.06/34.49 % partial match(2): HGHNF-FFMF00-SHHFFSBN
% 236.06/34.49 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 236.06/34.49 % Starting SubtermCWHack with 28s (1) cores
% 236.06/34.49 % SubtermCWHack with pid 2786198 completed with status 8
% 236.06/34.49 % Starting lpo9_lambda_fix with 31s (1) cores
% 236.06/34.49 % Preprocessing time : 0.002 s
% 236.06/34.49 % Presaturation interreduction done
% 236.06/34.49
% 236.06/34.49 % Proof found!
% 236.06/34.49 % SZS status Theorem
% 236.06/34.49 % SZS output start CNFRefutation
% See solution above
% 236.06/34.49 % Parsed axioms : 2
% 236.06/34.49 % Removed by relevancy pruning/SinE : 1
% 236.06/34.49 % Initial clauses : 42
% 236.06/34.49 % Removed in clause preprocessing : 0
% 236.06/34.49 % Initial clauses in saturation : 42
% 236.06/34.49 % Processed clauses : 8095
% 236.06/34.49 % ...of these trivial : 108
% 236.06/34.49 % ...subsumed : 3760
% 236.06/34.49 % ...remaining for further processing : 4227
% 236.06/34.49 % Other redundant clauses eliminated : 40
% 236.06/34.49 % Clauses deleted for lack of memory : 0
% 236.06/34.49 % Backward-subsumed : 2356
% 236.06/34.49 % Backward-rewritten : 574
% 236.06/34.49 % Generated clauses : 43598
% 236.06/34.49 % ...of the previous two non-redundant : 42735
% 236.06/34.49 % ...aggressively subsumed : 0
% 236.06/34.49 % Contextual simplify-reflections : 1078
% 236.06/34.49 % Paramodulations : 36591
% 236.06/34.49 % Factorizations : 1180
% 236.06/34.49 % NegExts : 1718
% 236.06/34.49 % Equation resolutions : 40
% 236.06/34.49 % Disequality decompositions : 0
% 236.06/34.49 % Total rewrite steps : 898
% 236.06/34.49 % ...of those cached : 889
% 236.06/34.49 % Propositional unsat checks : 0
% 236.06/34.49 % Propositional check models : 0
% 236.06/34.49 % Propositional check unsatisfiable : 0
% 236.06/34.49 % Propositional clauses : 0
% 236.06/34.49 % Propositional clauses after purity: 0
% 236.06/34.49 % Propositional unsat core size : 0
% 236.06/34.49 % Propositional preprocessing time : 0.000
% 236.06/34.49 % Propositional encoding time : 0.000
% 236.06/34.49 % Propositional solver time : 0.000
% 236.06/34.49 % Success case prop preproc time : 0.000
% 236.06/34.49 % Success case prop encoding time : 0.000
% 236.06/34.49 % Success case prop solver time : 0.000
% 236.06/34.49 % Current number of processed clauses : 570
% 236.06/34.49 % Positive orientable unit clauses : 9
% 236.06/34.49 % Positive unorientable unit clauses: 0
% 236.06/34.49 % Negative unit clauses : 2
% 236.06/34.49 % Non-unit-clauses : 559
% 236.06/34.49 % Current number of unprocessed clauses: 27120
% 236.06/34.49 % ...number of literals in the above : 292865
% 236.06/34.49 % Current number of archived formulas : 0
% 236.06/34.49 % Current number of archived clauses : 3657
% 236.06/34.49 % Clause-clause subsumption calls (NU) : 1100870
% 236.06/34.49 % Rec. Clause-clause subsumption calls : 11831
% 236.06/34.49 % Non-unit clause-clause subsumptions : 6892
% 236.06/34.49 % Unit Clause-clause subsumption calls : 4899
% 236.06/34.49 % Rewrite failures with RHS unbound : 0
% 236.06/34.49 % BW rewrite match attempts : 9
% 236.06/34.49 % BW rewrite match successes : 9
% 236.06/34.49 % Condensation attempts : 0
% 236.06/34.49 % Condensation successes : 0
% 236.06/34.49 % Termbank termtop insertions : 3764947
% 236.06/34.49 % Search garbage collected termcells : 770
% 236.06/34.49
% 236.06/34.49 % -------------------------------------------------
% 236.06/34.49 % User time : 32.401 s
% 236.06/34.49 % System time : 0.573 s
% 236.06/34.49 % Total time : 32.974 s
% 236.06/34.49 % Maximum resident set size: 3896 pages
% 236.06/34.49
% 236.06/34.49 % -------------------------------------------------
% 236.06/34.49 % User time : 32.403 s
% 236.06/34.49 % System time : 0.585 s
% 236.06/34.49 % Total time : 32.988 s
% 236.06/34.49 % Maximum resident set size: 5120 pages
% 236.06/34.49 % E exiting
%------------------------------------------------------------------------------