TSTP Solution File: SET598^5 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET598^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 09:19:18 EDT 2024
% Result : Theorem 3.52s 0.91s
% Output : CNFRefutation 3.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_22,type,
epred1_0: a > $o ).
thf(decl_23,type,
epred2_0: a > $o ).
thf(decl_24,type,
epred3_0: a > $o ).
thf(decl_25,type,
esk1_0: a ).
thf(decl_26,type,
esk2_0: a ).
thf(decl_27,type,
esk3_0: a ).
thf(decl_28,type,
epred4_0: a > $o ).
thf(decl_29,type,
esk4_0: a ).
thf(decl_30,type,
esk5_1: ( a > $o ) > a ).
thf(decl_31,type,
esk6_1: ( a > $o ) > a ).
thf(cBOOL_PROP_57_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( X1
= ( ^ [X4: a] :
( ( X2 @ X4 )
& ( X3 @ X4 ) ) ) )
<=> ( ! [X4: a] :
( ( X1 @ X4 )
=> ( X2 @ X4 ) )
& ! [X4: a] :
( ( X1 @ X4 )
=> ( X3 @ X4 ) )
& ! [X5: a > $o] :
( ( ! [X4: a] :
( ( X5 @ X4 )
=> ( X2 @ X4 ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X3 @ X4 ) ) )
=> ! [X4: a] :
( ( X5 @ X4 )
=> ( X1 @ X4 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.zzYKYb4p5y/E---3.1_19531.p',cBOOL_PROP_57_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ! [X15: a] :
( ( X1 @ X15 )
<=> ( ( X2 @ X15 )
& ( X3 @ X15 ) ) )
<=> ( ! [X4: a] :
( ( X1 @ X4 )
=> ( X2 @ X4 ) )
& ! [X4: a] :
( ( X1 @ X4 )
=> ( X3 @ X4 ) )
& ! [X5: a > $o] :
( ( ! [X4: a] :
( ( X5 @ X4 )
=> ( X2 @ X4 ) )
& ! [X4: a] :
( ( X5 @ X4 )
=> ( X3 @ X4 ) ) )
=> ! [X4: a] :
( ( X5 @ X4 )
=> ( X1 @ X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cBOOL_PROP_57_pme])])]) ).
thf(c_0_2,negated_conjecture,
! [X23: a,X24: a,X26: a,X27: a,X28: a,X29: a > $o,X32: a] :
( ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X23 )
| ( epred2_0 @ X23 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred4_0 @ X24 )
| ( epred3_0 @ X24 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X27 )
| ( epred2_0 @ X27 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred1_0 @ X28 )
| ( epred3_0 @ X28 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred2_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred1_0 @ X27 )
| ( epred2_0 @ X27 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred1_0 @ X28 )
| ( epred3_0 @ X28 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ( epred3_0 @ X26 )
| ~ ( epred1_0 @ X26 ) )
& ( ~ ( epred1_0 @ X27 )
| ( epred2_0 @ X27 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) )
& ( ~ ( epred1_0 @ X28 )
| ( epred3_0 @ X28 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ( X29 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) )
& ( ( X29 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) )
& ( ~ ( epred3_0 @ ( esk6_1 @ X29 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X29 ) )
| ~ ( X29 @ X32 )
| ( epred1_0 @ X32 )
| ~ ( epred2_0 @ X26 )
| ~ ( epred3_0 @ X26 )
| ( epred1_0 @ X26 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
! [X1: a > $o,X4: a,X9: a] :
( ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( X1 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_4]) ).
thf(c_0_9,negated_conjecture,
! [X1: a > $o,X4: a,X9: a] :
( ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ( epred2_0 @ X9 )
| ~ ( X1 @ X4 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_10,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_12,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_4]),c_0_11]) ).
thf(c_0_13,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
thf(c_0_14,negated_conjecture,
! [X1: a > $o,X4: a,X9: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ X1 ) )
| ~ ( X1 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_15,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_3,c_0_13]) ).
thf(c_0_16,negated_conjecture,
! [X4: a,X9: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_17,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
thf(c_0_18,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_7]),c_0_8]),c_0_11]),c_0_3]) ).
thf(c_0_19,negated_conjecture,
! [X1: a > $o,X4: a,X9: a] :
( ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ ( esk5_1 @ X1 ) )
| ~ ( X1 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_20,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_4]),c_0_11]) ).
thf(c_0_21,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).
thf(c_0_22,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_7]),c_0_8]),c_0_11]) ).
thf(c_0_23,negated_conjecture,
! [X1: a > $o,X4: a,X9: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ X1 ) )
| ~ ( epred2_0 @ ( esk5_1 @ X1 ) )
| ~ ( X1 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_24,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_4]),c_0_11]) ).
thf(c_0_25,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_16]) ).
thf(c_0_26,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_5,c_0_24]) ).
thf(c_0_27,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_16]) ).
thf(c_0_28,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_7]),c_0_8]),c_0_11]) ).
thf(c_0_29,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_6]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_4]),c_0_11]) ).
thf(c_0_31,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_32,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_33,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_34,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_14]) ).
thf(c_0_36,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_37,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_38,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
thf(c_0_39,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0
@ ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_19]) ).
thf(c_0_40,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_30]),c_0_34]) ).
thf(c_0_41,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30]) ).
thf(c_0_42,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_40])])]),c_0_30]) ).
thf(c_0_43,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_30]),c_0_34]) ).
thf(c_0_44,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_34]) ).
thf(c_0_45,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_30]),c_0_34]) ).
thf(c_0_46,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_47,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk4_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_45]) ).
thf(c_0_48,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_32]) ).
thf(c_0_49,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_30]) ).
thf(c_0_50,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_52,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_32]),c_0_51]) ).
thf(c_0_53,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_52]) ).
thf(c_0_54,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_53]) ).
thf(c_0_55,negated_conjecture,
! [X4: a,X9: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_56,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_54]),c_0_55]) ).
thf(c_0_57,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_45]),c_0_48]),c_0_51]),c_0_31]) ).
thf(c_0_58,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_32]),c_0_51]) ).
thf(c_0_59,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_58]),c_0_55]) ).
thf(c_0_60,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_45]),c_0_48]),c_0_51]) ).
thf(c_0_61,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_32]),c_0_51]) ).
thf(c_0_62,negated_conjecture,
! [X9: a,X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_58]),c_0_55]) ).
thf(c_0_63,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_61]) ).
thf(c_0_64,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_55]) ).
thf(c_0_65,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_48]),c_0_51]) ).
thf(c_0_66,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_32]),c_0_51]) ).
thf(c_0_67,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_66]) ).
thf(c_0_68,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_67]) ).
thf(c_0_69,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_66]) ).
thf(c_0_70,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_30]),c_0_66]) ).
thf(c_0_71,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_70]),c_0_30]) ).
thf(c_0_72,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_70])])]),c_0_30]) ).
thf(c_0_73,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_30]),c_0_66]) ).
thf(c_0_74,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_66]) ).
thf(c_0_75,negated_conjecture,
! [X4: a,X9: a] :
( ( epred3_0 @ X4 )
| ( epred3_0 @ X9 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_76,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_30]),c_0_66]) ).
thf(c_0_77,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
thf(c_0_78,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_79,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_76]) ).
thf(c_0_80,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_81,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_82,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
thf(c_0_83,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_80,c_0_79]) ).
thf(c_0_84,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_79]) ).
thf(c_0_85,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_86,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
thf(c_0_87,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_85]),c_0_86]),c_0_9]) ).
thf(c_0_88,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_83]) ).
thf(c_0_89,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_88]) ).
thf(c_0_90,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_89]) ).
thf(c_0_91,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_90]),c_0_16]) ).
thf(c_0_92,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_85]),c_0_86]),c_0_82]) ).
thf(c_0_93,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_83]) ).
thf(c_0_94,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_93]),c_0_16]) ).
thf(c_0_95,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_85]),c_0_86]) ).
thf(c_0_96,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_83]) ).
thf(c_0_97,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_93]),c_0_16]) ).
thf(c_0_98,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_96]) ).
thf(c_0_99,negated_conjecture,
! [X4: a,X9: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_16]) ).
thf(c_0_100,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_85]),c_0_86]) ).
thf(c_0_101,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_102,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_103,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_83]) ).
thf(c_0_104,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_79]) ).
thf(c_0_105,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_79]) ).
thf(c_0_106,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_103]) ).
thf(c_0_107,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_108,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred2_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X9 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]) ).
thf(c_0_109,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
thf(c_0_110,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_109]) ).
thf(c_0_111,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_107]) ).
thf(c_0_112,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_103]),c_0_107]) ).
thf(c_0_113,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_112]),c_0_103]),c_0_16]) ).
thf(c_0_114,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_112])])]),c_0_103]),c_0_16]) ).
thf(c_0_115,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_103]),c_0_107]) ).
thf(c_0_116,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_107]),c_0_16]) ).
thf(c_0_117,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_118,negated_conjecture,
( ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_103]),c_0_107]) ).
thf(c_0_119,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_79]) ).
thf(c_0_120,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk4_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_118]) ).
thf(c_0_121,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_105]) ).
thf(c_0_122,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_103]) ).
thf(c_0_123,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
thf(c_0_124,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_105]) ).
thf(c_0_125,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_124]) ).
thf(c_0_126,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_125]) ).
thf(c_0_127,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_126]),c_0_55]) ).
thf(c_0_128,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_118]),c_0_121]),c_0_104]) ).
thf(c_0_129,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_105]) ).
thf(c_0_130,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_129]),c_0_55]) ).
thf(c_0_131,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_118]),c_0_121]) ).
thf(c_0_132,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_131,c_0_105]) ).
thf(c_0_133,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_129]),c_0_55]) ).
thf(c_0_134,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_132]) ).
thf(c_0_135,negated_conjecture,
! [X4: a,X9: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_55]) ).
thf(c_0_136,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_118]),c_0_121]) ).
thf(c_0_137,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_105]) ).
thf(c_0_138,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_137]) ).
thf(c_0_139,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_138]) ).
thf(c_0_140,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_137]) ).
thf(c_0_141,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_103]),c_0_137]) ).
thf(c_0_142,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_141]),c_0_103]) ).
thf(c_0_143,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_141])])]),c_0_103]) ).
thf(c_0_144,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_103]),c_0_137]) ).
thf(c_0_145,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_137]) ).
thf(c_0_146,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_147,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_103]),c_0_137]) ).
thf(c_0_148,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_149,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_79]) ).
thf(c_0_150,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_147]),c_0_79]) ).
thf(c_0_151,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_149]),c_0_150]) ).
thf(c_0_152,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_151]) ).
thf(c_0_153,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_150]) ).
thf(c_0_154,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_149]),c_0_150]) ).
thf(c_0_155,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_154]),c_0_149]) ).
thf(c_0_156,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_154])])]),c_0_149]) ).
thf(c_0_157,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_149]),c_0_150]) ).
thf(c_0_158,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_150]) ).
thf(c_0_159,negated_conjecture,
! [X4: a,X9: a] :
( ( epred2_0 @ X4 )
| ( epred2_0 @ X9 )
| ~ ( epred1_0 @ X4 )
| ~ ( epred1_0 @ X9 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_160,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_149]),c_0_150]) ).
thf(c_0_161,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk2_0 )
| ( epred2_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
thf(c_0_162,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_163,negated_conjecture,
( ( epred2_0 @ esk2_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_161,c_0_160]) ).
thf(c_0_164,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_165,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_166,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
thf(c_0_167,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_164,c_0_163]) ).
thf(c_0_168,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_165,c_0_163]) ).
thf(c_0_169,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
thf(c_0_170,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_167]) ).
thf(c_0_171,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_169]),c_0_170]),c_0_9]) ).
thf(c_0_172,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_171,c_0_167]) ).
thf(c_0_173,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_172]) ).
thf(c_0_174,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_166,c_0_173]) ).
thf(c_0_175,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_174]),c_0_16]) ).
thf(c_0_176,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_169]),c_0_170]),c_0_166]) ).
thf(c_0_177,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_167]) ).
thf(c_0_178,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_177]),c_0_16]) ).
thf(c_0_179,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_169]),c_0_170]) ).
thf(c_0_180,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_179,c_0_167]) ).
thf(c_0_181,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_177]),c_0_16]) ).
thf(c_0_182,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_180]) ).
thf(c_0_183,negated_conjecture,
! [X4: a,X9: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_16]) ).
thf(c_0_184,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_169]),c_0_170]) ).
thf(c_0_185,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_186,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_187,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_184,c_0_167]) ).
thf(c_0_188,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_185,c_0_163]) ).
thf(c_0_189,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_186,c_0_163]) ).
thf(c_0_190,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_187]) ).
thf(c_0_191,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
thf(c_0_192,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_108]) ).
thf(c_0_193,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_192]) ).
thf(c_0_194,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_191]) ).
thf(c_0_195,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_187]),c_0_191]) ).
thf(c_0_196,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_195]),c_0_187]),c_0_16]) ).
thf(c_0_197,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_195])])]),c_0_187]),c_0_16]) ).
thf(c_0_198,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_187]),c_0_191]) ).
thf(c_0_199,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_191]),c_0_16]) ).
thf(c_0_200,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_201,negated_conjecture,
( ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_187]),c_0_191]) ).
thf(c_0_202,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_200,c_0_163]) ).
thf(c_0_203,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk4_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_201]) ).
thf(c_0_204,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_202,c_0_189]) ).
thf(c_0_205,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_187]) ).
thf(c_0_206,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_205]) ).
thf(c_0_207,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_206,c_0_189]) ).
thf(c_0_208,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_202,c_0_207]) ).
thf(c_0_209,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_188,c_0_208]) ).
thf(c_0_210,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_209]),c_0_55]) ).
thf(c_0_211,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_201]),c_0_204]),c_0_188]) ).
thf(c_0_212,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_211,c_0_189]) ).
thf(c_0_213,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_212]),c_0_55]) ).
thf(c_0_214,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_201]),c_0_204]) ).
thf(c_0_215,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_214,c_0_189]) ).
thf(c_0_216,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_212]),c_0_55]) ).
thf(c_0_217,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_202,c_0_215]) ).
thf(c_0_218,negated_conjecture,
! [X4: a,X9: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_55]) ).
thf(c_0_219,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_201]),c_0_204]) ).
thf(c_0_220,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_219,c_0_189]) ).
thf(c_0_221,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_190,c_0_220]) ).
thf(c_0_222,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_221]) ).
thf(c_0_223,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_222,c_0_220]) ).
thf(c_0_224,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_187]),c_0_220]) ).
thf(c_0_225,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_224]),c_0_187]) ).
thf(c_0_226,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_224])])]),c_0_187]) ).
thf(c_0_227,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_187]),c_0_220]) ).
thf(c_0_228,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_220]) ).
thf(c_0_229,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_230,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_187]),c_0_220]) ).
thf(c_0_231,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_232,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_163]) ).
thf(c_0_233,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_230]),c_0_163]) ).
thf(c_0_234,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_232]),c_0_233]) ).
thf(c_0_235,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_234]) ).
thf(c_0_236,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_235,c_0_233]) ).
thf(c_0_237,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_232]),c_0_233]) ).
thf(c_0_238,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_237]),c_0_232]) ).
thf(c_0_239,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_237])])]),c_0_232]) ).
thf(c_0_240,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_232]),c_0_233]) ).
thf(c_0_241,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_233]) ).
thf(c_0_242,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_232]),c_0_233]) ).
thf(c_0_243,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_244,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_242]) ).
thf(c_0_245,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_246,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_247,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_243,c_0_163]) ).
thf(c_0_248,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_244,c_0_242]) ).
thf(c_0_249,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_245,c_0_163]) ).
thf(c_0_250,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_246,c_0_163]) ).
thf(c_0_251,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
thf(c_0_252,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_249,c_0_248]) ).
thf(c_0_253,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_250,c_0_248]) ).
thf(c_0_254,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
thf(c_0_255,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_253,c_0_252]) ).
thf(c_0_256,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_254]),c_0_255]),c_0_9]) ).
thf(c_0_257,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_256,c_0_252]) ).
thf(c_0_258,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_253,c_0_257]) ).
thf(c_0_259,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_258]) ).
thf(c_0_260,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_259]),c_0_16]) ).
thf(c_0_261,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_254]),c_0_255]),c_0_251]) ).
thf(c_0_262,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_261,c_0_252]) ).
thf(c_0_263,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_262]),c_0_16]) ).
thf(c_0_264,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_254]),c_0_255]) ).
thf(c_0_265,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_264,c_0_252]) ).
thf(c_0_266,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_262]),c_0_16]) ).
thf(c_0_267,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_253,c_0_265]) ).
thf(c_0_268,negated_conjecture,
! [X4: a,X9: a] :
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_16]) ).
thf(c_0_269,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_270,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_271,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_254]),c_0_255]) ).
thf(c_0_272,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_163]) ).
thf(c_0_273,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_270,c_0_163]) ).
thf(c_0_274,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_271,c_0_252]) ).
thf(c_0_275,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_272,c_0_248]) ).
thf(c_0_276,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_273,c_0_248]) ).
thf(c_0_277,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_274]) ).
thf(c_0_278,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_275,c_0_276]) ).
thf(c_0_279,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_108]) ).
thf(c_0_280,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_279]) ).
thf(c_0_281,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_278]) ).
thf(c_0_282,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_274]),c_0_278]) ).
thf(c_0_283,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_282]),c_0_274]),c_0_16]) ).
thf(c_0_284,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_282])])]),c_0_274]),c_0_16]) ).
thf(c_0_285,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_274]),c_0_278]) ).
thf(c_0_286,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_287,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_278]),c_0_16]) ).
thf(c_0_288,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_286,c_0_163]) ).
thf(c_0_289,negated_conjecture,
( ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_274]),c_0_278]) ).
thf(c_0_290,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_288,c_0_248]) ).
thf(c_0_291,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk4_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_289]) ).
thf(c_0_292,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_290,c_0_276]) ).
thf(c_0_293,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( X1 @ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_274]) ).
thf(c_0_294,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_293]) ).
thf(c_0_295,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_294,c_0_276]) ).
thf(c_0_296,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_290,c_0_295]) ).
thf(c_0_297,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_275,c_0_296]) ).
thf(c_0_298,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_297]),c_0_55]) ).
thf(c_0_299,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_289]),c_0_292]),c_0_275]) ).
thf(c_0_300,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_299,c_0_276]) ).
thf(c_0_301,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_300]),c_0_55]) ).
thf(c_0_302,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk1_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_289]),c_0_292]) ).
thf(c_0_303,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_302,c_0_276]) ).
thf(c_0_304,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_300]),c_0_55]) ).
thf(c_0_305,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_290,c_0_303]) ).
thf(c_0_306,negated_conjecture,
! [X4: a,X9: a] :
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_55]) ).
thf(c_0_307,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred3_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_289]),c_0_292]) ).
thf(c_0_308,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_307,c_0_276]) ).
thf(c_0_309,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_277,c_0_308]) ).
thf(c_0_310,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_309]) ).
thf(c_0_311,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_310,c_0_308]) ).
thf(c_0_312,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_274]),c_0_308]) ).
thf(c_0_313,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_312]),c_0_274]) ).
thf(c_0_314,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_312])])]),c_0_274]) ).
thf(c_0_315,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_313,c_0_274]),c_0_308]) ).
thf(c_0_316,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_308]) ).
thf(c_0_317,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_318,negated_conjecture,
( ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_274]),c_0_308]) ).
thf(c_0_319,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_320,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_248]),c_0_163]) ).
thf(c_0_321,negated_conjecture,
( ( epred3_0 @ esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_318]),c_0_248]),c_0_163]) ).
thf(c_0_322,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_320]),c_0_321]) ).
thf(c_0_323,negated_conjecture,
! [X4: a,X9: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = X4 ) )
= X4 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X9 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_322]) ).
thf(c_0_324,negated_conjecture,
! [X4: a] :
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_323,c_0_321]) ).
thf(c_0_325,negated_conjecture,
( ( ( esk5_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_320]),c_0_321]) ).
thf(c_0_326,negated_conjecture,
! [X4: a] :
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_325]),c_0_320]) ).
thf(c_0_327,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred3_0
@ ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) ) )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_325])])]),c_0_320]) ).
thf(c_0_328,negated_conjecture,
( ( ( esk6_1
@ ^ [Z0: a] : ( Z0 = esk1_0 ) )
= esk1_0 )
| ( epred1_0 @ esk1_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_320]),c_0_321]) ).
thf(c_0_329,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ X4 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_321]) ).
thf(c_0_330,negated_conjecture,
epred1_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_329,c_0_320]),c_0_321]) ).
thf(c_0_331,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk1_0 )
| ( epred2_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_159,c_0_330]) ).
thf(c_0_332,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk1_0 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_330]) ).
thf(c_0_333,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_334,negated_conjecture,
epred2_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_331,c_0_330]) ).
thf(c_0_335,negated_conjecture,
epred3_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_332,c_0_330]) ).
thf(c_0_336,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_337,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_338,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_339,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_333,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_340,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_341,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_342,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_330])]),c_0_334])]) ).
thf(c_0_343,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
thf(c_0_344,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_341,c_0_340]) ).
thf(c_0_345,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_335])]) ).
thf(c_0_346,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_343]),c_0_344]),c_0_345]) ).
thf(c_0_347,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_340]),c_0_345]) ).
thf(c_0_348,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_341,c_0_347]) ).
thf(c_0_349,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_339,c_0_348]) ).
thf(c_0_350,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_349]),c_0_339]) ).
thf(c_0_351,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_343]),c_0_344]),c_0_345]) ).
thf(c_0_352,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_340]),c_0_345]) ).
thf(c_0_353,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_352]) ).
thf(c_0_354,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_343]),c_0_344]),c_0_345]) ).
thf(c_0_355,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_340]),c_0_345]) ).
thf(c_0_356,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_352]) ).
thf(c_0_357,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_341,c_0_355]) ).
thf(c_0_358,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_356,c_0_357]) ).
thf(c_0_359,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_343]),c_0_344]),c_0_345]) ).
thf(c_0_360,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_340]),c_0_345]) ).
thf(c_0_361,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_362,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred3_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_360]) ).
thf(c_0_363,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_364,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_365,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_366,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred2_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_367,negated_conjecture,
( ( epred3_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_362,c_0_360]) ).
thf(c_0_368,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_363,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_369,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred3_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_370,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_365,c_0_330])]),c_0_334])]) ).
thf(c_0_371,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
thf(c_0_372,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ( epred4_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_368,c_0_367]) ).
thf(c_0_373,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_369,c_0_367]) ).
thf(c_0_374,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_370,c_0_335])]) ).
thf(c_0_375,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
thf(c_0_376,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_373,c_0_372]) ).
thf(c_0_377,negated_conjecture,
( ( epred1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_374,c_0_367]) ).
thf(c_0_378,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk2_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_375]),c_0_376]),c_0_377]) ).
thf(c_0_379,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_372]),c_0_377]) ).
thf(c_0_380,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_373,c_0_379]) ).
thf(c_0_381,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_371,c_0_380]) ).
thf(c_0_382,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_381]),c_0_371]) ).
thf(c_0_383,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_375]),c_0_376]),c_0_377]) ).
thf(c_0_384,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_372]),c_0_377]) ).
thf(c_0_385,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_384]) ).
thf(c_0_386,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_375]),c_0_376]),c_0_377]) ).
thf(c_0_387,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_372]),c_0_377]) ).
thf(c_0_388,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_384]) ).
thf(c_0_389,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_373,c_0_387]) ).
thf(c_0_390,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_388,c_0_389]) ).
thf(c_0_391,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk2_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_375]),c_0_376]),c_0_377]) ).
thf(c_0_392,negated_conjecture,
epred1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_372]),c_0_377]) ).
thf(c_0_393,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_394,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ esk2_0 )
| ( epred2_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_159,c_0_392]) ).
thf(c_0_395,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_396,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_397,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_398,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_399,negated_conjecture,
epred2_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_394,c_0_392]) ).
thf(c_0_400,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_401,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_402,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_330])]),c_0_334])]) ).
thf(c_0_403,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_399])]) ).
thf(c_0_404,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred4_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_399])]) ).
thf(c_0_405,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_399])]) ).
thf(c_0_406,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_335])]) ).
thf(c_0_407,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
thf(c_0_408,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_405,c_0_404]) ).
thf(c_0_409,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ~ ( epred1_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_399])]) ).
thf(c_0_410,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( epred1_0 @ esk3_0 )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_407]),c_0_408]),c_0_409]) ).
thf(c_0_411,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_404]),c_0_409]) ).
thf(c_0_412,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_405,c_0_411]) ).
thf(c_0_413,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_403,c_0_412]) ).
thf(c_0_414,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_413]),c_0_403]) ).
thf(c_0_415,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_407]),c_0_408]),c_0_409]) ).
thf(c_0_416,negated_conjecture,
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_415,c_0_404]),c_0_409]) ).
thf(c_0_417,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_416]) ).
thf(c_0_418,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_407]),c_0_408]),c_0_409]) ).
thf(c_0_419,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_404]),c_0_409]) ).
thf(c_0_420,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_416]) ).
thf(c_0_421,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_405,c_0_419]) ).
thf(c_0_422,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_420,c_0_421]) ).
thf(c_0_423,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_424,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_425,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_426,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_407]),c_0_408]),c_0_409]) ).
thf(c_0_427,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_423,c_0_330])]) ).
thf(c_0_428,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_424,c_0_425]) ).
thf(c_0_429,negated_conjecture,
epred1_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_404]),c_0_409]) ).
thf(c_0_430,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_427,c_0_334])]) ).
thf(c_0_431,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred3_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_432,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_428,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_433,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ esk3_0 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_429]) ).
thf(c_0_434,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_430,c_0_335])]) ).
thf(c_0_435,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 )
| ~ ( epred2_0 @ esk1_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk1_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_431,c_0_425]) ).
thf(c_0_436,negated_conjecture,
( ( epred2_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_432,c_0_399])]) ).
thf(c_0_437,negated_conjecture,
epred3_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_433,c_0_429]) ).
thf(c_0_438,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_434,c_0_399])]) ).
thf(c_0_439,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_435,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_440,negated_conjecture,
epred2_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_436,c_0_437])]) ).
thf(c_0_441,negated_conjecture,
~ ( epred1_0 @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_438,c_0_437])]) ).
thf(c_0_442,negated_conjecture,
( ( epred3_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_439,c_0_399])]) ).
thf(c_0_443,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_425,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_444,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_431,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_445,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk6_1 @ X1 ) )
| ( X1 @ ( esk5_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( epred3_0 @ esk4_0 )
| ~ ( X1 @ X4 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_440]),c_0_441]) ).
thf(c_0_446,negated_conjecture,
epred3_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_442,c_0_437])]) ).
thf(c_0_447,negated_conjecture,
( ( epred4_0 @ esk4_0 )
| ~ ( epred3_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_443,c_0_399])]) ).
thf(c_0_448,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ~ ( epred2_0 @ esk2_0 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_424,c_0_330])]),c_0_334]),c_0_335])]) ).
thf(c_0_449,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_444,c_0_399])]) ).
thf(c_0_450,negated_conjecture,
! [X1: a > $o,X4: a] :
( ( X1 @ ( esk5_1 @ X1 ) )
| ( X1 @ ( esk6_1 @ X1 ) )
| ( epred1_0 @ X4 )
| ~ ( X1 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_445,c_0_446])]) ).
thf(c_0_451,negated_conjecture,
epred4_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_447,c_0_437])]) ).
thf(c_0_452,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ~ ( epred3_0 @ esk3_0 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_448,c_0_399])]) ).
thf(c_0_453,negated_conjecture,
! [X4: a] :
( ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_449,c_0_437])]) ).
thf(c_0_454,negated_conjecture,
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred4_0 @ ( esk5_1 @ epred4_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_451]),c_0_441]) ).
thf(c_0_455,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_452,c_0_437])]) ).
thf(c_0_456,negated_conjecture,
( ( epred4_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred3_0 @ ( esk6_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_453,c_0_454]) ).
thf(c_0_457,negated_conjecture,
( ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred2_0 @ ( esk5_1 @ epred4_0 ) ) ),
inference(spm,[status(thm)],[c_0_455,c_0_456]) ).
thf(c_0_458,negated_conjecture,
! [X9: a,X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_457]),c_0_455]) ).
thf(c_0_459,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ ( esk5_1 @ epred4_0 ) )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_440]),c_0_446])]),c_0_441]) ).
thf(c_0_460,negated_conjecture,
epred2_0 @ ( esk5_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_451]),c_0_441]) ).
thf(c_0_461,negated_conjecture,
! [X9: a,X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_460]) ).
thf(c_0_462,negated_conjecture,
! [X4: a] :
( ( epred4_0 @ ( esk6_1 @ epred4_0 ) )
| ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_440]),c_0_446])]),c_0_441]) ).
thf(c_0_463,negated_conjecture,
epred4_0 @ ( esk6_1 @ epred4_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_451]),c_0_441]) ).
thf(c_0_464,negated_conjecture,
! [X9: a,X4: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred3_0 @ ( esk6_1 @ epred4_0 ) )
| ~ ( epred2_0 @ X9 )
| ~ ( epred3_0 @ X9 )
| ~ ( epred4_0 @ X4 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_460]) ).
thf(c_0_465,negated_conjecture,
epred3_0 @ ( esk6_1 @ epred4_0 ),
inference(spm,[status(thm)],[c_0_453,c_0_463]) ).
thf(c_0_466,negated_conjecture,
! [X4: a,X9: a] :
( ( epred1_0 @ X4 )
| ( epred1_0 @ X9 )
| ~ ( epred2_0 @ X4 )
| ~ ( epred3_0 @ X4 )
| ~ ( epred4_0 @ X9 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_464,c_0_465])]) ).
thf(c_0_467,negated_conjecture,
! [X4: a] :
( ( epred1_0 @ X4 )
| ~ ( epred4_0 @ X4 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_440]),c_0_446])]),c_0_441]) ).
thf(c_0_468,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_451]),c_0_441]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET598^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 10:30:03 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.49 Running higher-order theorem proving
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.zzYKYb4p5y/E---3.1_19531.p
% 3.52/0.91 # Version: 3.1.0-ho
% 3.52/0.91 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.52/0.91 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.91 # Starting post_as_ho12 with 300s (1) cores
% 3.52/0.91 # Starting new_bool_9 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho1 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho4 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho2 with 300s (1) cores
% 3.52/0.91 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 3.52/0.91 # Starting full_lambda_10 with 300s (1) cores
% 3.52/0.91 # Starting new_ho_8 with 300s (1) cores
% 3.52/0.91 # post_as_ho2 with pid 19621 completed with status 0
% 3.52/0.91 # Result found by post_as_ho2
% 3.52/0.91 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.52/0.91 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.91 # Starting post_as_ho12 with 300s (1) cores
% 3.52/0.91 # Starting new_bool_9 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho1 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho4 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho2 with 300s (1) cores
% 3.52/0.91 # No SInE strategy applied
% 3.52/0.91 # Search class: HGHNF-FFMF11-SSSFFSBN
% 3.52/0.91 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.91 # Starting ehoh_best_nonlift with 163s (1) cores
% 3.52/0.91 # ehoh_best_nonlift with pid 19631 completed with status 0
% 3.52/0.91 # Result found by ehoh_best_nonlift
% 3.52/0.91 # Preprocessing class: HSSSSMSSSSSNSSA.
% 3.52/0.91 # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 3.52/0.91 # Starting post_as_ho12 with 300s (1) cores
% 3.52/0.91 # Starting new_bool_9 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho1 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho4 with 300s (1) cores
% 3.52/0.91 # Starting post_as_ho2 with 300s (1) cores
% 3.52/0.91 # No SInE strategy applied
% 3.52/0.91 # Search class: HGHNF-FFMF11-SSSFFSBN
% 3.52/0.91 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 3.52/0.91 # Starting ehoh_best_nonlift with 163s (1) cores
% 3.52/0.91 # Preprocessing time : 0.002 s
% 3.52/0.91 # Presaturation interreduction done
% 3.52/0.91
% 3.52/0.91 # Proof found!
% 3.52/0.91 # SZS status Theorem
% 3.52/0.91 # SZS output start CNFRefutation
% See solution above
% 3.52/0.91 # Parsed axioms : 2
% 3.52/0.91 # Removed by relevancy pruning/SinE : 0
% 3.52/0.91 # Initial clauses : 67
% 3.52/0.91 # Removed in clause preprocessing : 1
% 3.52/0.91 # Initial clauses in saturation : 66
% 3.52/0.91 # Processed clauses : 3048
% 3.52/0.91 # ...of these trivial : 29
% 3.52/0.91 # ...subsumed : 1811
% 3.52/0.91 # ...remaining for further processing : 1208
% 3.52/0.91 # Other redundant clauses eliminated : 156
% 3.52/0.91 # Clauses deleted for lack of memory : 0
% 3.52/0.91 # Backward-subsumed : 907
% 3.52/0.91 # Backward-rewritten : 142
% 3.52/0.91 # Generated clauses : 6639
% 3.52/0.91 # ...of the previous two non-redundant : 5881
% 3.52/0.91 # ...aggressively subsumed : 0
% 3.52/0.91 # Contextual simplify-reflections : 530
% 3.52/0.91 # Paramodulations : 6264
% 3.52/0.91 # Factorizations : 18
% 3.52/0.91 # NegExts : 34
% 3.52/0.91 # Equation resolutions : 156
% 3.52/0.91 # Disequality decompositions : 0
% 3.52/0.91 # Total rewrite steps : 530
% 3.52/0.91 # ...of those cached : 513
% 3.52/0.91 # Propositional unsat checks : 0
% 3.52/0.91 # Propositional check models : 0
% 3.52/0.91 # Propositional check unsatisfiable : 0
% 3.52/0.91 # Propositional clauses : 0
% 3.52/0.91 # Propositional clauses after purity: 0
% 3.52/0.91 # Propositional unsat core size : 0
% 3.52/0.91 # Propositional preprocessing time : 0.000
% 3.52/0.91 # Propositional encoding time : 0.000
% 3.52/0.91 # Propositional solver time : 0.000
% 3.52/0.91 # Success case prop preproc time : 0.000
% 3.52/0.91 # Success case prop encoding time : 0.000
% 3.52/0.91 # Success case prop solver time : 0.000
% 3.52/0.91 # Current number of processed clauses : 84
% 3.52/0.91 # Positive orientable unit clauses : 18
% 3.52/0.91 # Positive unorientable unit clauses: 0
% 3.52/0.91 # Negative unit clauses : 1
% 3.52/0.91 # Non-unit-clauses : 65
% 3.52/0.91 # Current number of unprocessed clauses: 189
% 3.52/0.91 # ...number of literals in the above : 1668
% 3.52/0.91 # Current number of archived formulas : 0
% 3.52/0.91 # Current number of archived clauses : 1124
% 3.52/0.91 # Clause-clause subsumption calls (NU) : 54615
% 3.52/0.91 # Rec. Clause-clause subsumption calls : 6015
% 3.52/0.91 # Non-unit clause-clause subsumptions : 3246
% 3.52/0.91 # Unit Clause-clause subsumption calls : 338
% 3.52/0.91 # Rewrite failures with RHS unbound : 0
% 3.52/0.91 # BW rewrite match attempts : 16
% 3.52/0.91 # BW rewrite match successes : 16
% 3.52/0.91 # Condensation attempts : 0
% 3.52/0.91 # Condensation successes : 0
% 3.52/0.91 # Termbank termtop insertions : 562767
% 3.52/0.91 # Search garbage collected termcells : 686
% 3.52/0.91
% 3.52/0.91 # -------------------------------------------------
% 3.52/0.91 # User time : 0.397 s
% 3.52/0.91 # System time : 0.007 s
% 3.52/0.91 # Total time : 0.405 s
% 3.52/0.91 # Maximum resident set size: 2036 pages
% 3.52/0.91
% 3.52/0.91 # -------------------------------------------------
% 3.52/0.91 # User time : 0.398 s
% 3.52/0.91 # System time : 0.011 s
% 3.52/0.91 # Total time : 0.409 s
% 3.52/0.91 # Maximum resident set size: 1772 pages
% 3.52/0.91 % E---3.1 exiting
% 3.52/0.91 % E exiting
%------------------------------------------------------------------------------