%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL861^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:13:17 AM UTC 2026
% Result : Theorem 0.23s 0.36s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 4
% Syntax : Number of formulae : 170 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 780 ( 6 equ; 0 cnn)
% Maximal formula atoms : 161 ( 4 avg)
% Number of connectives : 2558 ( 361 ~; 565 |; 48 &;1574 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 50 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 223 ( 6 ^; 217 !; 0 ?; 223 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_40,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(decl_43,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(decl_44,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(decl_54,type,
epred1_0: $i > $i > $o ).
thf(decl_55,type,
esk1_0: $i ).
thf(decl_56,type,
esk2_0: $i ).
thf(decl_57,type,
esk3_0: $i ).
thf(decl_58,type,
esk4_0: $i ).
thf(decl_59,type,
esk5_0: $i ).
thf(decl_60,type,
esk6_0: $i ).
thf(decl_61,type,
esk7_0: $i ).
thf(decl_62,type,
esk8_0: $i ).
thf(decl_63,type,
esk9_0: $i ).
thf(decl_64,type,
esk10_0: $i ).
thf(decl_65,type,
esk11_0: $i ).
thf(conj,conjecture,
! [X13: $i > $i > $o] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mreflexive @ X13 )
& ( mtransitive @ X13 )
& ( meuclidean @ X13 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NZxRkqCI5M/E---3.1_2953821.p',conj) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] : ( X13 @ X15 @ X15 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NZxRkqCI5M/E---3.1_2953821.p',mreflexive) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( X13 @ X15 @ X16 )
& ( X13 @ X16 @ X17 ) )
=> ( X13 @ X15 @ X17 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NZxRkqCI5M/E---3.1_2953821.p',mtransitive) ).
thf(meuclidean,axiom,
( meuclidean
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( X13 @ X15 @ X16 )
& ( X13 @ X15 @ X17 ) )
=> ( X13 @ X16 @ X17 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NZxRkqCI5M/E---3.1_2953821.p',meuclidean) ).
thf(c_0_4,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mreflexive @ X13 )
& ( mtransitive @ X13 )
& ( meuclidean @ X13 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_5,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] : ( Z0 @ X15 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_6,plain,
( mtransitive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X16 @ X17 ) )
=> ( Z0 @ X15 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[mtransitive]) ).
thf(c_0_7,plain,
( meuclidean
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X15 @ X17 ) )
=> ( Z0 @ X16 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[meuclidean]) ).
thf(c_0_8,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ! [X22: $i] : ( X13 @ X22 @ X22 )
& ! [X23: $i,X24: $i,X25: $i] :
( ( ( X13 @ X23 @ X24 )
& ( X13 @ X23 @ X25 ) )
=> ( X13 @ X24 @ X25 ) ) )
<=> ( ! [X26: $i] : ( X13 @ X26 @ X26 )
& ! [X27: $i,X28: $i,X29: $i] :
( ( ( X13 @ X27 @ X28 )
& ( X13 @ X28 @ X29 ) )
=> ( X13 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i,X32: $i] :
( ( ( X13 @ X30 @ X31 )
& ( X13 @ X30 @ X32 ) )
=> ( X13 @ X31 @ X32 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i,X53: $i,X54: $i,X55: $i] :
( ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ X49 @ X49 )
| ( epred1_0 @ X45 @ X45 ) )
& ( ~ ( epred1_0 @ X50 @ X51 )
| ~ ( epred1_0 @ X51 @ X52 )
| ( epred1_0 @ X50 @ X52 )
| ( epred1_0 @ X45 @ X45 ) )
& ( ~ ( epred1_0 @ X53 @ X54 )
| ~ ( epred1_0 @ X53 @ X55 )
| ( epred1_0 @ X54 @ X55 )
| ( epred1_0 @ X45 @ X45 ) )
& ( ( epred1_0 @ X49 @ X49 )
| ~ ( epred1_0 @ X46 @ X47 )
| ~ ( epred1_0 @ X46 @ X48 )
| ( epred1_0 @ X47 @ X48 ) )
& ( ~ ( epred1_0 @ X50 @ X51 )
| ~ ( epred1_0 @ X51 @ X52 )
| ( epred1_0 @ X50 @ X52 )
| ~ ( epred1_0 @ X46 @ X47 )
| ~ ( epred1_0 @ X46 @ X48 )
| ( epred1_0 @ X47 @ X48 ) )
& ( ~ ( epred1_0 @ X53 @ X54 )
| ~ ( epred1_0 @ X53 @ X55 )
| ( epred1_0 @ X54 @ X55 )
| ~ ( epred1_0 @ X46 @ X47 )
| ~ ( epred1_0 @ X46 @ X48 )
| ( epred1_0 @ X47 @ X48 ) ) ),
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_8])])])])])]) ).
thf(c_0_10,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ X3 )
| ( epred1_0 @ X14 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
inference(ef,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i,X17: $i,X21: $i] :
( ( epred1_0 @ X14 @ X15 )
| ( epred1_0 @ X17 @ X21 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 )
| ~ ( epred1_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X16 @ X21 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12])]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_18,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12]),c_0_12])]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12]),c_0_12])]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_12])]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_24,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_25,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_26,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_12]),c_0_12])]) ).
thf(c_0_28,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_12]),c_0_12])]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_12]),c_0_12])]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_33,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_35,negated_conjecture,
! [X3: $i,X14: $i,X17: $i,X16: $i,X15: $i] :
( ( epred1_0 @ X3 @ X14 )
| ( epred1_0 @ X15 @ X16 )
| ~ ( epred1_0 @ X14 @ X3 )
| ~ ( epred1_0 @ X17 @ X16 )
| ~ ( epred1_0 @ X17 @ X15 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_19]),c_0_20]) ).
thf(c_0_37,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_30]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_12]),c_0_12])]) ).
thf(c_0_39,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_12]),c_0_12])]) ).
thf(c_0_40,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_21]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_12]),c_0_12])]) ).
thf(c_0_42,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_44,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_45,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_27]),c_0_28]) ).
thf(c_0_47,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_41]) ).
thf(c_0_48,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_12]),c_0_12])]) ).
thf(c_0_49,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_12]),c_0_12])]) ).
thf(c_0_50,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_12]) ).
thf(c_0_51,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
thf(c_0_52,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_46]) ).
thf(c_0_53,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
thf(c_0_54,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i,X17: $i,X21: $i] :
( ( epred1_0 @ X3 @ X15 )
| ( epred1_0 @ X17 @ X21 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X16 @ X21 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_55,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_36]) ).
thf(c_0_56,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_38]),c_0_39]) ).
thf(c_0_57,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_12]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_41]) ).
thf(c_0_59,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk6_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_60,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_56]) ).
thf(c_0_61,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_62,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_46]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_48]),c_0_49]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_56]) ).
thf(c_0_65,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk8_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_12]) ).
thf(c_0_66,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_12]),c_0_12])]) ).
thf(c_0_67,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_68,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_69,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk6_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_62]) ).
thf(c_0_70,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_63]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_72,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk6_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
thf(c_0_73,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
thf(c_0_74,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_66]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_12]),c_0_12])]) ).
thf(c_0_76,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_12]),c_0_12])]) ).
thf(c_0_77,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_63]) ).
thf(c_0_78,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk8_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_12]) ).
thf(c_0_79,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_12]),c_0_12])]) ).
thf(c_0_80,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_81,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_82,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_83,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
thf(c_0_84,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk6_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_62]) ).
thf(c_0_85,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_78,c_0_63]) ).
thf(c_0_86,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_79]) ).
thf(c_0_87,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_12]),c_0_12])]) ).
thf(c_0_88,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_12]),c_0_12])]) ).
thf(c_0_89,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_66]) ).
thf(c_0_90,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_82]),c_0_83]) ).
thf(c_0_91,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
thf(c_0_92,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
thf(c_0_93,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_66]) ).
thf(c_0_94,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_56]) ).
thf(c_0_95,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_79]) ).
thf(c_0_96,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_91]),c_0_92]) ).
thf(c_0_97,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_75]),c_0_76]) ).
thf(c_0_98,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_55]) ).
thf(c_0_99,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_79]) ).
thf(c_0_100,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_63]) ).
thf(c_0_101,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_97]),c_0_98]) ).
thf(c_0_102,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_87]),c_0_88]) ).
thf(c_0_103,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_62]) ).
thf(c_0_104,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_12]) ).
thf(c_0_105,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_12]) ).
thf(c_0_106,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_102]),c_0_103]) ).
thf(c_0_107,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
thf(c_0_108,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_12]) ).
thf(c_0_109,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_12]) ).
thf(c_0_110,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_107]) ).
thf(c_0_111,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_113,negated_conjecture,
( ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_75]),c_0_98]) ).
thf(c_0_114,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_111]) ).
thf(c_0_115,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_12]),c_0_12])]) ).
thf(c_0_116,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_117,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_118,negated_conjecture,
epred1_0 @ esk2_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_98]) ).
thf(c_0_119,negated_conjecture,
( ( epred1_0 @ esk10_0 @ esk11_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_87]),c_0_103]) ).
thf(c_0_120,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_115]) ).
thf(c_0_121,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_12]),c_0_12])]) ).
thf(c_0_122,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_12]),c_0_12])]) ).
thf(c_0_123,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_118]) ).
thf(c_0_124,negated_conjecture,
epred1_0 @ esk2_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_119]),c_0_103]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_126,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
thf(c_0_127,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
thf(c_0_128,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_12]),c_0_12])]) ).
thf(c_0_129,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_130,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_131,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_126,c_0_115]) ).
thf(c_0_132,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk3_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_127,c_0_118]) ).
thf(c_0_133,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_128]) ).
thf(c_0_134,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_12]),c_0_12])]) ).
thf(c_0_135,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_12]),c_0_12])]) ).
thf(c_0_136,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_121]),c_0_122]) ).
thf(c_0_137,negated_conjecture,
epred1_0 @ esk4_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_132,c_0_124]) ).
thf(c_0_138,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_139,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
thf(c_0_140,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_136]) ).
thf(c_0_141,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_137]) ).
thf(c_0_142,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_12]),c_0_12])]) ).
thf(c_0_143,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_144,negated_conjecture,
( ~ ( epred1_0 @ esk10_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_145,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_128]) ).
thf(c_0_146,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_140,c_0_12]) ).
thf(c_0_147,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_124]) ).
thf(c_0_148,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk11_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_142]) ).
thf(c_0_149,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_12]),c_0_12])]) ).
thf(c_0_150,negated_conjecture,
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_12]),c_0_12])]) ).
thf(c_0_151,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_134]),c_0_135]) ).
thf(c_0_152,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_146,c_0_136]) ).
thf(c_0_153,negated_conjecture,
epred1_0 @ esk3_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_147,c_0_118]) ).
thf(c_0_154,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
thf(c_0_155,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_151]),c_0_141]) ).
thf(c_0_156,negated_conjecture,
epred1_0 @ esk7_0 @ esk6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153])]) ).
thf(c_0_157,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_153])]) ).
thf(c_0_158,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_157]) ).
thf(c_0_159,negated_conjecture,
epred1_0 @ esk7_0 @ esk8_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_153])]) ).
thf(c_0_160,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
thf(c_0_161,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk11_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_153])]) ).
thf(c_0_162,negated_conjecture,
epred1_0 @ esk6_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_160,c_0_156]) ).
thf(c_0_163,negated_conjecture,
epred1_0 @ esk9_0 @ esk11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_162])]) ).
thf(c_0_164,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_153])]) ).
thf(c_0_165,negated_conjecture,
( ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_153])]) ).
thf(c_0_166,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ X3 @ esk11_0 )
| ~ ( epred1_0 @ esk9_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_158,c_0_163]) ).
thf(c_0_167,negated_conjecture,
epred1_0 @ esk9_0 @ esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_162])]) ).
thf(c_0_168,negated_conjecture,
~ ( epred1_0 @ esk10_0 @ esk11_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_162])]) ).
thf(c_0_169,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL861^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.19 % Computer : n008.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Tue Sep 29 10:13:39 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.24 Running higher-order theorem proving
% 0.13/0.25 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.NZxRkqCI5M/E---3.1_2953821.p
% 0.23/0.36 % Version: 3.5.1-ho
% 0.23/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.23/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.23/0.36 % Starting almost_fo_3_lam with 300s (1) cores
% 0.23/0.36 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.36 % ehoh_best2_full_lfho with pid 2953835 completed with status 0
% 0.23/0.36 % Result found by ehoh_best2_full_lfho
% 0.23/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.23/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.23/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.36 % No SInE strategy applied
% 0.23/0.36 % Search class: HGHNF-FFMF00-SHSSMFNN
% 0.23/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.36 % SubtermCWHack with pid 2953839 completed with status 0
% 0.23/0.36 % Result found by SubtermCWHack
% 0.23/0.36 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.23/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.36 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.23/0.36 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.23/0.36 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.36 % No SInE strategy applied
% 0.23/0.36 % Search class: HGHNF-FFMF00-SHSSMFNN
% 0.23/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.36 % Preprocessing time : 0.002 s
% 0.23/0.36
% 0.23/0.36 % Proof found!
% 0.23/0.36 % SZS status Theorem
% 0.23/0.36 % SZS output start CNFRefutation
% See solution above
% 0.23/0.36 % Parsed axioms : 64
% 0.23/0.36 % Removed by relevancy pruning/SinE : 0
% 0.23/0.36 % Initial clauses : 65
% 0.23/0.36 % Removed in clause preprocessing : 32
% 0.23/0.36 % Initial clauses in saturation : 33
% 0.23/0.36 % Processed clauses : 538
% 0.23/0.36 % ...of these trivial : 10
% 0.23/0.36 % ...subsumed : 218
% 0.23/0.36 % ...remaining for further processing : 310
% 0.23/0.36 % Other redundant clauses eliminated : 0
% 0.23/0.36 % Clauses deleted for lack of memory : 0
% 0.23/0.36 % Backward-subsumed : 187
% 0.23/0.36 % Backward-rewritten : 91
% 0.23/0.36 % Generated clauses : 3004
% 0.23/0.36 % ...of the previous two non-redundant : 2229
% 0.23/0.36 % ...aggressively subsumed : 0
% 0.23/0.36 % Contextual simplify-reflections : 43
% 0.23/0.36 % Paramodulations : 3002
% 0.23/0.36 % Factorizations : 2
% 0.23/0.36 % NegExts : 0
% 0.23/0.36 % Equation resolutions : 0
% 0.23/0.36 % Disequality decompositions : 0
% 0.23/0.36 % Total rewrite steps : 940
% 0.23/0.36 % ...of those cached : 910
% 0.23/0.36 % Propositional unsat checks : 0
% 0.23/0.36 % Propositional check models : 0
% 0.23/0.36 % Propositional check unsatisfiable : 0
% 0.23/0.36 % Propositional clauses : 0
% 0.23/0.36 % Propositional clauses after purity: 0
% 0.23/0.36 % Propositional unsat core size : 0
% 0.23/0.36 % Propositional preprocessing time : 0.000
% 0.23/0.36 % Propositional encoding time : 0.000
% 0.23/0.36 % Propositional solver time : 0.000
% 0.23/0.36 % Success case prop preproc time : 0.000
% 0.23/0.36 % Success case prop encoding time : 0.000
% 0.23/0.36 % Success case prop solver time : 0.000
% 0.23/0.36 % Current number of processed clauses : 32
% 0.23/0.36 % Positive orientable unit clauses : 17
% 0.23/0.36 % Positive unorientable unit clauses: 0
% 0.23/0.36 % Negative unit clauses : 1
% 0.23/0.36 % Non-unit-clauses : 14
% 0.23/0.36 % Current number of unprocessed clauses: 44
% 0.23/0.36 % ...number of literals in the above : 206
% 0.23/0.36 % Current number of archived formulas : 0
% 0.23/0.36 % Current number of archived clauses : 278
% 0.23/0.36 % Clause-clause subsumption calls (NU) : 5352
% 0.23/0.36 % Rec. Clause-clause subsumption calls : 2378
% 0.23/0.36 % Non-unit clause-clause subsumptions : 445
% 0.23/0.36 % Unit Clause-clause subsumption calls : 10
% 0.23/0.36 % Rewrite failures with RHS unbound : 0
% 0.23/0.36 % BW rewrite match attempts : 9
% 0.23/0.36 % BW rewrite match successes : 9
% 0.23/0.36 % Condensation attempts : 0
% 0.23/0.36 % Condensation successes : 0
% 0.23/0.36 % Termbank termtop insertions : 57173
% 0.23/0.36 % Search garbage collected termcells : 819
% 0.23/0.36
% 0.23/0.36 % -------------------------------------------------
% 0.23/0.36 % User time : 0.074 s
% 0.23/0.36 % System time : 0.008 s
% 0.23/0.36 % Total time : 0.082 s
% 0.23/0.36 % Maximum resident set size: 3692 pages
% 0.23/0.36
% 0.23/0.36 % -------------------------------------------------
% 0.23/0.36 % User time : 0.078 s
% 0.23/0.36 % System time : 0.012 s
% 0.23/0.36 % Total time : 0.090 s
% 0.23/0.36 % Maximum resident set size: 4608 pages
% 0.23/0.36 % E exiting
%------------------------------------------------------------------------------