TSTP Solution File: SEU904^5 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU904^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:30:48 EDT 2024
% Result : Timeout 0.44s 300.07s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 21
% Syntax : Number of formulae : 237 ( 12 unt; 19 typ; 0 def)
% Number of atoms : 1033 ( 68 equ; 0 cnn)
% Maximal formula atoms : 220 ( 4 avg)
% Number of connectives : 3858 ( 498 ~; 775 |; 112 &;2437 @)
% ( 1 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 62 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 151 ( 151 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 8 con; 0-8 aty)
% Number of variables : 178 ( 0 ^ 178 !; 0 ?; 178 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
g: $tType ).
thf(decl_sort2,type,
b: $tType ).
thf(decl_sort3,type,
a: $tType ).
thf(decl_22,type,
epred1_8: ( b > a ) > ( a > $o ) > ( a > a > a ) > ( b > $o ) > ( b > b > b ) > ( g > b ) > ( g > $o ) > ( g > g > g ) > $o ).
thf(decl_23,type,
esk1_0: g > b ).
thf(decl_24,type,
esk2_0: b > a ).
thf(decl_25,type,
epred2_0: g > $o ).
thf(decl_26,type,
esk3_0: g > g > g ).
thf(decl_27,type,
epred3_0: b > $o ).
thf(decl_28,type,
esk4_0: b > b > b ).
thf(decl_29,type,
epred4_0: a > $o ).
thf(decl_30,type,
esk5_0: a > a > a ).
thf(decl_31,type,
esk6_0: g ).
thf(decl_32,type,
esk7_0: g ).
thf(decl_33,type,
esk8_0: a ).
thf(decl_34,type,
esk9_0: a ).
thf(decl_35,type,
esk10_0: g ).
thf(decl_36,type,
esk11_0: g ).
thf(decl_37,type,
esk12_0: g ).
thf(cTHM126_pme,conjecture,
! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
( ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X11: b,X12: b] :
( ( ( X5 @ X11 )
& ( X5 @ X12 ) )
=> ( X5 @ ( X6 @ X11 @ X12 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X5 @ ( X1 @ X9 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
& ! [X13: b,X14: b] :
( ( ( X5 @ X13 )
& ( X5 @ X14 ) )
=> ( X5 @ ( X6 @ X13 @ X14 ) ) )
& ! [X15: a,X16: a] :
( ( ( X7 @ X15 )
& ( X7 @ X16 ) )
=> ( X7 @ ( X8 @ X15 @ X16 ) ) )
& ! [X17: b] :
( ( X5 @ X17 )
=> ( X7 @ ( X2 @ X17 ) ) )
& ! [X18: b,X19: b] :
( ( ( X5 @ X18 )
& ( X5 @ X19 ) )
=> ( ( X2 @ ( X6 @ X18 @ X19 ) )
= ( X8 @ ( X2 @ X18 ) @ ( X2 @ X19 ) ) ) ) )
=> ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X20: a,X21: a] :
( ( ( X7 @ X20 )
& ( X7 @ X21 ) )
=> ( X7 @ ( X8 @ X20 @ X21 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
= ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM126_pme) ).
thf(c_0_1,plain,
! [X4: g > g > g,X3: g > $o,X1: g > b,X5: b > $o,X8: a > a > a,X7: a > $o,X6: b > b > b,X2: b > a] :
( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
<=> ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X11: b,X12: b] :
( ( ( X5 @ X11 )
& ( X5 @ X12 ) )
=> ( X5 @ ( X6 @ X11 @ X12 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X5 @ ( X1 @ X9 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
& ! [X13: b,X14: b] :
( ( ( X5 @ X13 )
& ( X5 @ X14 ) )
=> ( X5 @ ( X6 @ X13 @ X14 ) ) )
& ! [X15: a,X16: a] :
( ( ( X7 @ X15 )
& ( X7 @ X16 ) )
=> ( X7 @ ( X8 @ X15 @ X16 ) ) )
& ! [X17: b] :
( ( X5 @ X17 )
=> ( X7 @ ( X2 @ X17 ) ) )
& ! [X18: b,X19: b] :
( ( ( X5 @ X18 )
& ( X5 @ X19 ) )
=> ( ( X2 @ ( X6 @ X18 @ X19 ) )
= ( X8 @ ( X2 @ X18 ) @ ( X2 @ X19 ) ) ) ) ) ),
introduced(definition) ).
thf(c_0_2,plain,
! [X4: g > g > g,X3: g > $o,X1: g > b,X5: b > $o,X8: a > a > a,X7: a > $o,X6: b > b > b,X2: b > a] :
( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
=> ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X11: b,X12: b] :
( ( ( X5 @ X11 )
& ( X5 @ X12 ) )
=> ( X5 @ ( X6 @ X11 @ X12 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X5 @ ( X1 @ X9 ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) ) )
& ! [X13: b,X14: b] :
( ( ( X5 @ X13 )
& ( X5 @ X14 ) )
=> ( X5 @ ( X6 @ X13 @ X14 ) ) )
& ! [X15: a,X16: a] :
( ( ( X7 @ X15 )
& ( X7 @ X16 ) )
=> ( X7 @ ( X8 @ X15 @ X16 ) ) )
& ! [X17: b] :
( ( X5 @ X17 )
=> ( X7 @ ( X2 @ X17 ) ) )
& ! [X18: b,X19: b] :
( ( ( X5 @ X18 )
& ( X5 @ X19 ) )
=> ( ( X2 @ ( X6 @ X18 @ X19 ) )
= ( X8 @ ( X2 @ X18 ) @ ( X2 @ X19 ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
~ ! [X1: g > b,X2: b > a,X3: g > $o,X4: g > g > g,X5: b > $o,X6: b > b > b,X7: a > $o,X8: a > a > a] :
( ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 )
=> ( ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( X3 @ ( X4 @ X9 @ X10 ) ) )
& ! [X20: a,X21: a] :
( ( ( X7 @ X20 )
& ( X7 @ X21 ) )
=> ( X7 @ ( X8 @ X20 @ X21 ) ) )
& ! [X9: g] :
( ( X3 @ X9 )
=> ( X7 @ ( X2 @ ( X1 @ X9 ) ) ) )
& ! [X9: g,X10: g] :
( ( ( X3 @ X9 )
& ( X3 @ X10 ) )
=> ( ( X2 @ ( X1 @ ( X4 @ X9 @ X10 ) ) )
= ( X8 @ ( X2 @ ( X1 @ X9 ) ) @ ( X2 @ ( X1 @ X10 ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM126_pme]),c_0_1]) ).
thf(c_0_4,plain,
! [X66: g > g > g,X67: g > $o,X68: g > b,X69: b > $o,X70: a > a > a,X71: a > $o,X72: b > b > b,X73: b > a,X74: g,X75: g,X76: b,X77: b,X78: g,X79: g,X80: g,X81: b,X82: b,X83: a,X84: a,X85: b,X86: b,X87: b] :
( ( ~ ( X67 @ X74 )
| ~ ( X67 @ X75 )
| ( X67 @ ( X66 @ X74 @ X75 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X69 @ X76 )
| ~ ( X69 @ X77 )
| ( X69 @ ( X72 @ X76 @ X77 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X67 @ X78 )
| ( X69 @ ( X68 @ X78 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X67 @ X79 )
| ~ ( X67 @ X80 )
| ( ( X68 @ ( X66 @ X79 @ X80 ) )
= ( X72 @ ( X68 @ X79 ) @ ( X68 @ X80 ) ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X69 @ X81 )
| ~ ( X69 @ X82 )
| ( X69 @ ( X72 @ X81 @ X82 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X71 @ X83 )
| ~ ( X71 @ X84 )
| ( X71 @ ( X70 @ X83 @ X84 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X69 @ X85 )
| ( X71 @ ( X73 @ X85 ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) )
& ( ~ ( X69 @ X86 )
| ~ ( X69 @ X87 )
| ( ( X73 @ ( X72 @ X86 @ X87 ) )
= ( X70 @ ( X73 @ X86 ) @ ( X73 @ X87 ) ) )
| ~ ( epred1_8 @ X73 @ X71 @ X70 @ X69 @ X72 @ X68 @ X67 @ X66 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).
thf(c_0_5,negated_conjecture,
( ( epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0 )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk6_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ( epred2_0 @ esk7_0 ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) )
& ( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).
thf(c_0_6,plain,
! [X11: b,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( X7 @ ( X2 @ X11 ) )
| ~ ( X5 @ X11 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
epred1_8 @ esk2_0 @ epred4_0 @ esk5_0 @ epred3_0 @ esk4_0 @ esk1_0 @ epred2_0 @ esk3_0,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
! [X11: b] :
( ( epred4_0 @ ( esk2_0 @ X11 ) )
| ~ ( epred3_0 @ X11 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
! [X2: b > a,X9: g,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( X5 @ ( X1 @ X9 ) )
| ~ ( X3 @ X9 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_11,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_12,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_13,plain,
! [X2: b > a,X10: g,X9: g,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( X3 @ ( X4 @ X9 @ X10 ) )
| ~ ( X3 @ X9 )
| ~ ( X3 @ X10 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_14,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_15,negated_conjecture,
! [X9: g] :
( ( epred3_0 @ ( esk1_0 @ X9 ) )
| ~ ( epred2_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
thf(c_0_16,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_17,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_19,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_20,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_21,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
thf(c_0_22,negated_conjecture,
! [X10: g,X9: g] :
( ( epred2_0 @ ( esk3_0 @ X9 @ X10 ) )
| ~ ( epred2_0 @ X10 )
| ~ ( epred2_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
thf(c_0_23,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
thf(c_0_24,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).
thf(c_0_25,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_26,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
thf(c_0_27,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_28,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
thf(c_0_29,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_30,plain,
! [X16: a,X15: a,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( X7 @ ( X8 @ X15 @ X16 ) )
| ~ ( X7 @ X15 )
| ~ ( X7 @ X16 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_31,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_32,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_33,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_34,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_35,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]) ).
thf(c_0_36,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_25,c_0_9]) ).
thf(c_0_37,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_27]) ).
thf(c_0_38,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_29]) ).
thf(c_0_39,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_40,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_41,negated_conjecture,
! [X16: a,X15: a] :
( ( epred4_0 @ ( esk5_0 @ X15 @ X16 ) )
| ~ ( epred4_0 @ X16 )
| ~ ( epred4_0 @ X15 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_7]) ).
thf(c_0_42,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_43,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_44,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_9]) ).
thf(c_0_45,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_46,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_32,c_0_9]) ).
thf(c_0_47,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_48,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_9]) ).
thf(c_0_49,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_50,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_34,c_0_9]) ).
thf(c_0_51,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_52,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_53,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk11_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_15]) ).
thf(c_0_54,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_22]),c_0_37]),c_0_38]) ).
thf(c_0_55,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_22]),c_0_37]),c_0_38]) ).
thf(c_0_56,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]) ).
thf(c_0_57,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_58,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_15]),c_0_45]) ).
thf(c_0_59,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_15]),c_0_47]) ).
thf(c_0_60,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_61,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_15]),c_0_49]) ).
thf(c_0_62,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk12_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_15]),c_0_51]) ).
thf(c_0_63,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_64,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_65,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_66,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_22]),c_0_23]),c_0_24]),c_0_53]) ).
thf(c_0_67,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_15]),c_0_55]) ).
thf(c_0_68,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_69,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_56,c_0_9]) ).
thf(c_0_70,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_41]),c_0_58]),c_0_59]) ).
thf(c_0_71,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_72,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_41]),c_0_61]),c_0_62]) ).
thf(c_0_73,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_74,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_22]),c_0_61]),c_0_58]) ).
thf(c_0_75,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_22]),c_0_62]),c_0_59]) ).
thf(c_0_76,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_77,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_78,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_79,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_80,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_81,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_22]) ).
thf(c_0_82,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_70,c_0_9]) ).
thf(c_0_83,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_58]),c_0_59]) ).
thf(c_0_84,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk12_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_72,c_0_9]) ).
thf(c_0_85,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_41]),c_0_74]),c_0_75]) ).
thf(c_0_86,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_87,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_77,c_0_9]) ).
thf(c_0_88,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_89,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_79,c_0_9]) ).
thf(c_0_90,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_91,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_92,plain,
! [X12: b,X11: b,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X2: b > a,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( ( X2 @ ( X6 @ X11 @ X12 ) )
= ( X8 @ ( X2 @ X11 ) @ ( X2 @ X12 ) ) )
| ~ ( X5 @ X11 )
| ~ ( X5 @ X12 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_93,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_94,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_15]) ).
thf(c_0_95,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_15]),c_0_83]) ).
thf(c_0_96,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_15]),c_0_85]) ).
thf(c_0_97,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_86,c_0_9]) ).
thf(c_0_98,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_15]),c_0_88]) ).
thf(c_0_99,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_15]),c_0_90]) ).
thf(c_0_100,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_41]),c_0_66]),c_0_67]) ).
thf(c_0_101,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_102,negated_conjecture,
! [X12: b,X11: b] :
( ( ( esk5_0 @ ( esk2_0 @ X11 ) @ ( esk2_0 @ X12 ) )
= ( esk2_0 @ ( esk4_0 @ X11 @ X12 ) ) )
| ~ ( epred3_0 @ X12 )
| ~ ( epred3_0 @ X11 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_7]) ).
thf(c_0_103,plain,
! [X2: b > a,X10: g,X9: g,X8: a > a > a,X7: a > $o,X6: b > b > b,X5: b > $o,X1: g > b,X3: g > $o,X4: g > g > g] :
( ( ( X1 @ ( X4 @ X9 @ X10 ) )
= ( X6 @ ( X1 @ X9 ) @ ( X1 @ X10 ) ) )
| ~ ( X3 @ X9 )
| ~ ( X3 @ X10 )
| ~ ( epred1_8 @ X2 @ X7 @ X8 @ X5 @ X6 @ X1 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_104,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_41]),c_0_74]),c_0_75]) ).
thf(c_0_105,negated_conjecture,
( ( epred2_0 @ esk12_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
thf(c_0_106,negated_conjecture,
( ( epred2_0 @ esk11_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_22]),c_0_98]),c_0_99]) ).
thf(c_0_107,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_22]),c_0_98]),c_0_99]) ).
thf(c_0_108,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
thf(c_0_109,negated_conjecture,
! [X10: g,X9: g] :
( ( ( esk4_0 @ ( esk1_0 @ X9 ) @ ( esk1_0 @ X10 ) )
= ( esk1_0 @ ( esk3_0 @ X9 @ X10 ) ) )
| ~ ( epred2_0 @ X10 )
| ~ ( epred2_0 @ X9 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_7]) ).
thf(c_0_110,negated_conjecture,
epred2_0 @ esk12_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_22]),c_0_96]),c_0_95]),c_0_105]) ).
thf(c_0_111,negated_conjecture,
epred2_0 @ esk11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_15]),c_0_107]) ).
thf(c_0_112,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_113,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_114,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_112,c_0_102]) ).
thf(c_0_115,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_113,c_0_9]) ).
thf(c_0_116,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_117,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_118,negated_conjecture,
( ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_119,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_120,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_121,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_122,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_15]),c_0_110])]) ).
thf(c_0_123,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_15]),c_0_110])]) ).
thf(c_0_124,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_125,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_117,c_0_102]) ).
thf(c_0_126,negated_conjecture,
( ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_118,c_0_102]) ).
thf(c_0_127,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_119,c_0_102]) ).
thf(c_0_128,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_120,c_0_102]) ).
thf(c_0_129,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_121,c_0_102]) ).
thf(c_0_130,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_15]),c_0_111])]) ).
thf(c_0_131,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_15]),c_0_111])]) ).
thf(c_0_132,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_124,c_0_102]) ).
thf(c_0_133,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_134,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_135,negated_conjecture,
( ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_109]),c_0_76]),c_0_56]) ).
thf(c_0_136,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_137,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_138,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_139,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_140,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_15]),c_0_131]) ).
thf(c_0_141,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_142,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_133,c_0_102]) ).
thf(c_0_143,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_15]),c_0_110])]) ).
thf(c_0_144,negated_conjecture,
( ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_41]) ).
thf(c_0_145,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_146,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_136,c_0_102]) ).
thf(c_0_147,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_15]),c_0_110])]) ).
thf(c_0_148,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_15]),c_0_110])]) ).
thf(c_0_149,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_150,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_41]),c_0_140]),c_0_141]) ).
thf(c_0_151,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_152,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_15]),c_0_111])]) ).
thf(c_0_153,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_154,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_155,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_156,negated_conjecture,
( ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) )
| ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_144,c_0_9]) ).
thf(c_0_157,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_158,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_145,c_0_102]) ).
thf(c_0_159,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_160,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_15]),c_0_111])]) ).
thf(c_0_161,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_15]),c_0_111])]) ).
thf(c_0_162,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_149,c_0_102]) ).
thf(c_0_163,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_150,c_0_9]) ).
thf(c_0_164,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_41]),c_0_140]),c_0_152]) ).
thf(c_0_165,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_166,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_153,c_0_102]) ).
thf(c_0_167,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_154,c_0_102]) ).
thf(c_0_168,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk7_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_155,c_0_102]) ).
thf(c_0_169,negated_conjecture,
( ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) )
| ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_22]) ).
thf(c_0_170,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_157,c_0_102]) ).
thf(c_0_171,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_172,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_41]),c_0_160]),c_0_161]) ).
thf(c_0_173,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_174,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_15]),c_0_110])]) ).
thf(c_0_175,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_15]),c_0_110])]) ).
thf(c_0_176,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_165,c_0_102]) ).
thf(c_0_177,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_178,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred4_0 @ esk8_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_179,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_180,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) )
!= ( esk5_0 @ ( esk2_0 @ ( esk1_0 @ esk11_0 ) ) @ ( esk2_0 @ ( esk1_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_181,negated_conjecture,
( ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) )
| ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_15]),c_0_81]) ).
thf(c_0_182,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred4_0 @ ( esk5_0 @ esk8_0 @ esk9_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_183,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_22]),c_0_164]),c_0_172]) ).
thf(c_0_184,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_22]),c_0_164]),c_0_172]) ).
thf(c_0_185,negated_conjecture,
( ( epred2_0 @ esk6_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_15]),c_0_111])]) ).
thf(c_0_186,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_15]),c_0_111])]) ).
thf(c_0_187,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_15]),c_0_110])]) ).
thf(c_0_188,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_189,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_41]),c_0_178]),c_0_179]) ).
thf(c_0_190,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ( ( esk2_0 @ ( esk4_0 @ ( esk1_0 @ esk11_0 ) @ ( esk1_0 @ esk12_0 ) ) )
!= ( esk2_0 @ ( esk1_0 @ ( esk3_0 @ esk11_0 @ esk12_0 ) ) ) )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(spm,[status(thm)],[c_0_180,c_0_102]) ).
thf(c_0_191,negated_conjecture,
( ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) )
| ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 )
| ~ ( epred2_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_181,c_0_15]) ).
thf(c_0_192,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_41]),c_0_183]),c_0_184]) ).
thf(c_0_193,negated_conjecture,
epred2_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_15]),c_0_186]) ).
thf(c_0_194,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ( epred2_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_15]),c_0_111])]) ).
thf(c_0_195,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_188,c_0_9]) ).
thf(c_0_196,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_189,c_0_9]) ).
thf(c_0_197,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ ( esk2_0 @ ( esk1_0 @ esk10_0 ) ) )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_109]),c_0_110]),c_0_111])]) ).
thf(c_0_198,negated_conjecture,
( ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 )
| ~ ( epred2_0 @ esk11_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_191,c_0_15]) ).
thf(c_0_199,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_22]),c_0_193])]),c_0_194]) ).
thf(c_0_200,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_22]),c_0_163]),c_0_196]) ).
thf(c_0_201,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ~ ( epred2_0 @ ( esk3_0 @ esk6_0 @ esk7_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(spm,[status(thm)],[c_0_197,c_0_9]) ).
thf(c_0_202,negated_conjecture,
( ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk6_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_111])]) ).
thf(c_0_203,negated_conjecture,
( ( epred2_0 @ esk10_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_15]),c_0_110])]) ).
thf(c_0_204,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_15]),c_0_110])]) ).
thf(c_0_205,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_15]),c_0_110])]) ).
thf(c_0_206,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk12_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_22]),c_0_193])]),c_0_196]) ).
thf(c_0_207,negated_conjecture,
( ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 )
| ~ ( epred2_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_202,c_0_193])]) ).
thf(c_0_208,negated_conjecture,
epred2_0 @ esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_15]),c_0_111])]) ).
thf(c_0_209,negated_conjecture,
( ( epred2_0 @ esk7_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_15]),c_0_111])]) ).
thf(c_0_210,negated_conjecture,
( ( epred4_0 @ esk8_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_15]),c_0_111])]) ).
thf(c_0_211,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk11_0 ) )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_15]),c_0_110])]) ).
thf(c_0_212,negated_conjecture,
( ~ ( epred4_0 @ esk9_0 )
| ~ ( epred4_0 @ esk8_0 )
| ~ ( epred2_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]) ).
thf(c_0_213,negated_conjecture,
epred2_0 @ esk7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_15]),c_0_208])]) ).
thf(c_0_214,negated_conjecture,
epred4_0 @ esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_15]),c_0_208])]) ).
thf(c_0_215,negated_conjecture,
( ( epred4_0 @ esk9_0 )
| ~ ( epred3_0 @ ( esk1_0 @ esk10_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_15]),c_0_111])]) ).
thf(c_0_216,negated_conjecture,
~ ( epred4_0 @ esk9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_213])]),c_0_214])]) ).
thf(c_0_217,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_15]),c_0_208])]),c_0_216]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU904^5 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n010.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 18:05:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.41 Running higher-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/300.07 # Version: 3.1.0-ho
% 0.44/300.07 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.44/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/300.07 # Starting post_as_ho1 with 1500s (5) cores
% 0.44/300.07 # Starting post_as_ho12 with 300s (1) cores
% 0.44/300.07 # Starting new_ho_3 with 300s (1) cores
% 0.44/300.07 # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.44/300.07 # post_as_ho12 with pid 17723 completed with status 0
% 0.44/300.07 # Result found by post_as_ho12
% 0.44/300.07 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.44/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/300.07 # Starting post_as_ho1 with 1500s (5) cores
% 0.44/300.07 # Starting post_as_ho12 with 300s (1) cores
% 0.44/300.07 # No SInE strategy applied
% 0.44/300.07 # Search class: HGHSF-FFMM00-MSSFFSBN
% 0.44/300.07 # partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.44/300.07 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/300.07 # Starting new_ho_10 with 163s (1) cores
% 0.44/300.07 # new_ho_10 with pid 17727 completed with status 0
% 0.44/300.07 # Result found by new_ho_10
% 0.44/300.07 # Preprocessing class: HSMSSMSSSSSNSSA.
% 0.44/300.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/300.07 # Starting post_as_ho1 with 1500s (5) cores
% 0.44/300.07 # Starting post_as_ho12 with 300s (1) cores
% 0.44/300.07 # No SInE strategy applied
% 0.44/300.07 # Search class: HGHSF-FFMM00-MSSFFSBN
% 0.44/300.07 # partial match(1): HGHSF-FFMM00-MSSFFFBN
% 0.44/300.07 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.44/300.07 # Starting new_ho_10 with 163s (1) cores
% 0.44/300.07 # Preprocessing time : 0.002 s
% 0.44/300.07 # Presaturation interreduction done
% 0.44/300.07
% 0.44/300.07 # Proof found!
% 0.44/300.07 # SZS status Theorem
% 0.44/300.07 # SZS output start CNFRefutation
% See solution above
% 0.44/300.07 # Parsed axioms : 4
% 0.44/300.07 # Removed by relevancy pruning/SinE : 0
% 0.44/300.07 # Initial clauses : 66
% 0.44/300.07 # Removed in clause preprocessing : 3
% 0.44/300.07 # Initial clauses in saturation : 63
% 0.44/300.07 # Processed clauses : 298
% 0.44/300.07 # ...of these trivial : 0
% 0.44/300.07 # ...subsumed : 4
% 0.44/300.07 # ...remaining for further processing : 293
% 0.44/300.07 # Other redundant clauses eliminated : 0
% 0.44/300.07 # Clauses deleted for lack of memory : 0
% 0.44/300.07 # Backward-subsumed : 161
% 0.44/300.07 # Backward-rewritten : 40
% 0.44/300.07 # Generated clauses : 180
% 0.44/300.07 # ...of the previous two non-redundant : 179
% 0.44/300.07 # ...aggressively subsumed : 0
% 0.44/300.07 # Contextual simplify-reflections : 90
% 0.44/300.07 # Paramodulations : 180
% 0.44/300.07 # Factorizations : 0
% 0.44/300.07 # NegExts : 0
% 0.44/300.07 # Equation resolutions : 0
% 0.44/300.07 # Disequality decompositions : 0
% 0.44/300.07 # Total rewrite steps : 114
% 0.44/300.07 # ...of those cached : 108
% 0.44/300.07 # Propositional unsat checks : 0
% 0.44/300.07 # Propositional check models : 0
% 0.44/300.07 # Propositional check unsatisfiable : 0
% 0.44/300.07 # Propositional clauses : 0
% 0.44/300.07 # Propositional clauses after purity: 0
% 0.44/300.07 # Propositional unsat core size : 0
% 0.44/300.07 # Propositional preprocessing time : 0.000
% 0.44/300.07 # Propositional encoding time : 0.000
% 0.44/300.07 # Propositional solver time : 0.000
% 0.44/300.07 # Success case prop preproc time : 0.000
% 0.44/300.07 # Success case prop encoding time : 0.000
% 0.44/300.07 # Success case prop solver time : 0.000
% 0.44/300.07 # Current number of processed clauses : 30
% 0.44/300.07 # Positive orientable unit clauses : 7
% 0.44/300.07 # Positive unorientable unit clauses: 0
% 0.44/300.07 # Negative unit clauses : 1
% 0.44/300.07 # Non-unit-clauses : 22
% 0.44/300.07 # Current number of unprocessed clauses: 1
% 0.44/300.07 # ...number of literals in the above : 3
% 0.44/300.07 # Current number of archived formulas : 0
% 0.44/300.07 # Current number of archived clauses : 263
% 0.44/300.07 # Clause-clause subsumption calls (NU) : 8425
% 0.44/300.07 # Rec. Clause-clause subsumption calls : 2012
% 0.44/300.07 # Non-unit clause-clause subsumptions : 252
% 0.44/300.07 # Unit Clause-clause subsumption calls : 31
% 0.44/300.07 # Rewrite failures with RHS unbound : 0
% 0.44/300.07 # BW rewrite match attempts : 6
% 0.44/300.07 # BW rewrite match successes : 6
% 0.44/300.07 # Condensation attempts : 298
% 0.44/300.07 # Condensation successes : 0
% 0.44/300.07 # Termbank termtop insertions : 10321
% 0.44/300.07 # Search garbage collected termcells : 854
% 0.44/300.07
% 0.44/300.07 # -------------------------------------------------
% 0.44/300.07 # User time : 0.028 s
% 0.44/300.07 # System time : 0.003 s
% 0.44/300.07 # Total time : 0.031 s
% 0.44/300.07 # Maximum resident set size: 2056 pages
% 0.44/300.07
% 0.44/300.07 # -------------------------------------------------
% 0.44/300.07 # User time : 0.029 s
% 0.44/300.07 # System time : 0.005 s
% 0.44/300.07 # Total time : 0.034 s
% 0.44/300.07 # Maximum resident set size: 1772 pages
% 0.44/300.07 % E---3.1 exiting
% 0.44/300.07 % E exiting
%------------------------------------------------------------------------------