%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL864^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:12:09 AM UTC 2026
% Result : Theorem 6.02s 1.16s
% Output : CNFRefutation 6.02s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_40,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(decl_41,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(decl_42,type,
mserial: ( $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(decl_66,type,
esk12_0: $i ).
thf(decl_67,type,
esk13_0: $i ).
thf(decl_68,type,
esk14_1: $i > $i ).
thf(conj,conjecture,
! [X13: $i > $i > $o] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mserial @ X13 )
& ( mtransitive @ X13 )
& ( msymmetric @ X13 )
& ( meuclidean @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p',conj) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] : ( X13 @ X15 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p',mreflexive) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( X13 @ X15 @ X16 )
=> ( X13 @ X16 @ X15 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p',msymmetric) ).
thf(mserial,axiom,
( mserial
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] :
? [X16: $i] : ( X13 @ X15 @ X16 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p',mserial) ).
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/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.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/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p',meuclidean) ).
thf(c_0_6,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mserial @ X13 )
& ( mtransitive @ X13 )
& ( msymmetric @ X13 )
& ( meuclidean @ X13 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_7,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] : ( Z0 @ X15 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_8,plain,
( msymmetric
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( Z0 @ X15 @ X16 )
=> ( Z0 @ X16 @ X15 ) ) ) ),
inference(fof_simplification,[status(thm)],[msymmetric]) ).
thf(c_0_9,plain,
( mserial
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] :
? [X16: $i] : ( Z0 @ X15 @ X16 ) ) ),
inference(fof_simplification,[status(thm)],[mserial]) ).
thf(c_0_10,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_11,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_12,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] :
? [X27: $i] : ( X13 @ X26 @ X27 )
& ! [X28: $i,X29: $i,X30: $i] :
( ( ( X13 @ X28 @ X29 )
& ( X13 @ X29 @ X30 ) )
=> ( X13 @ X28 @ X30 ) )
& ! [X31: $i,X32: $i] :
( ( X13 @ X31 @ X32 )
=> ( X13 @ X32 @ X31 ) )
& ! [X33: $i,X34: $i,X35: $i] :
( ( ( X13 @ X33 @ X34 )
& ( X13 @ X33 @ X35 ) )
=> ( X13 @ X34 @ X35 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9]),c_0_10]),c_0_11]) ).
thf(c_0_13,negated_conjecture,
! [X42: $i,X51: $i,X52: $i,X53: $i,X54: $i,X55: $i,X57: $i,X58: $i,X59: $i,X60: $i,X61: $i,X62: $i,X63: $i,X64: $i] :
( ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X42 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ X55 @ ( esk14_1 @ X55 ) )
| ( epred1_0 @ X51 @ X51 ) )
& ( ~ ( epred1_0 @ X57 @ X58 )
| ~ ( epred1_0 @ X58 @ X59 )
| ( epred1_0 @ X57 @ X59 )
| ( epred1_0 @ X51 @ X51 ) )
& ( ~ ( epred1_0 @ X60 @ X61 )
| ( epred1_0 @ X61 @ X60 )
| ( epred1_0 @ X51 @ X51 ) )
& ( ~ ( epred1_0 @ X62 @ X63 )
| ~ ( epred1_0 @ X62 @ X64 )
| ( epred1_0 @ X63 @ X64 )
| ( epred1_0 @ X51 @ X51 ) )
& ( ( epred1_0 @ X55 @ ( esk14_1 @ X55 ) )
| ~ ( epred1_0 @ X52 @ X53 )
| ~ ( epred1_0 @ X52 @ X54 )
| ( epred1_0 @ X53 @ X54 ) )
& ( ~ ( epred1_0 @ X57 @ X58 )
| ~ ( epred1_0 @ X58 @ X59 )
| ( epred1_0 @ X57 @ X59 )
| ~ ( epred1_0 @ X52 @ X53 )
| ~ ( epred1_0 @ X52 @ X54 )
| ( epred1_0 @ X53 @ X54 ) )
& ( ~ ( epred1_0 @ X60 @ X61 )
| ( epred1_0 @ X61 @ X60 )
| ~ ( epred1_0 @ X52 @ X53 )
| ~ ( epred1_0 @ X52 @ X54 )
| ( epred1_0 @ X53 @ X54 ) )
& ( ~ ( epred1_0 @ X62 @ X63 )
| ~ ( epred1_0 @ X62 @ X64 )
| ( epred1_0 @ X63 @ X64 )
| ~ ( epred1_0 @ X52 @ X53 )
| ~ ( epred1_0 @ X52 @ X54 )
| ( epred1_0 @ X53 @ X54 ) ) ),
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_12])])])])])]) ).
thf(c_0_14,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X14 @ X3 )
| ( epred1_0 @ X15 @ X15 )
| ~ ( epred1_0 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ ( esk14_1 @ X3 ) )
| ( epred1_0 @ X14 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_16,negated_conjecture,
! [X16: $i,X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ X14 @ X15 )
| ( epred1_0 @ X16 @ X16 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk14_1 @ X3 ) @ X3 )
| ( epred1_0 @ X14 @ X14 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_18,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ( epred1_0 @ X15 @ X15 )
| ~ ( epred1_0 @ ( esk14_1 @ X14 ) @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).
thf(c_0_19,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_20,negated_conjecture,
! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_17])]) ).
thf(c_0_21,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).
thf(c_0_22,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_23,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_13]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_20])]) ).
thf(c_0_26,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_20]) ).
thf(c_0_28,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_30,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_24]) ).
thf(c_0_31,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_32,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_20])]) ).
thf(c_0_33,negated_conjecture,
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_27]) ).
thf(c_0_34,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_20])]) ).
thf(c_0_35,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i,X17: $i] :
( ( epred1_0 @ X14 @ X3 )
| ( epred1_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X16 )
| ~ ( epred1_0 @ X15 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_36,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
thf(c_0_39,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_20])]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_20]) ).
thf(c_0_41,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_20])]) ).
thf(c_0_42,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_38]) ).
thf(c_0_43,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_20]) ).
thf(c_0_45,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_46,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_48,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_38]) ).
thf(c_0_49,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
thf(c_0_50,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_20])]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_53,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_44]) ).
thf(c_0_54,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_55,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_20])]) ).
thf(c_0_56,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_43]) ).
thf(c_0_57,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
thf(c_0_59,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk12_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_57]) ).
thf(c_0_60,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_20]) ).
thf(c_0_61,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
thf(c_0_62,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_60]) ).
thf(c_0_63,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_57]),c_0_39]) ).
thf(c_0_65,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_20])]) ).
thf(c_0_66,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_64]) ).
thf(c_0_67,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_13]) ).
thf(c_0_68,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
thf(c_0_69,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( 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_67,c_0_43]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_20]) ).
thf(c_0_71,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_72,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_70]) ).
thf(c_0_73,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_74,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_40]),c_0_39]) ).
thf(c_0_76,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_20])]) ).
thf(c_0_77,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_20])]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_80,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_76,c_0_20]) ).
thf(c_0_81,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_66]) ).
thf(c_0_82,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_20])]) ).
thf(c_0_83,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_80]) ).
thf(c_0_84,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_20]) ).
thf(c_0_85,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_20]) ).
thf(c_0_86,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
thf(c_0_87,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_85]) ).
thf(c_0_88,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_89,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
thf(c_0_90,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
thf(c_0_91,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_20])]) ).
thf(c_0_92,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_84]) ).
thf(c_0_93,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_94,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_85]) ).
thf(c_0_95,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_84]) ).
thf(c_0_96,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_97,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_20])]) ).
thf(c_0_98,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
thf(c_0_99,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_20]) ).
thf(c_0_100,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
thf(c_0_101,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_99]) ).
thf(c_0_102,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_20]) ).
thf(c_0_103,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
thf(c_0_104,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_105,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_99]) ).
thf(c_0_106,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_107,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_20])]) ).
thf(c_0_108,negated_conjecture,
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_102]) ).
thf(c_0_109,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_20])]) ).
thf(c_0_110,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
thf(c_0_111,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_109,c_0_20]) ).
thf(c_0_113,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_84]) ).
thf(c_0_114,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_20]) ).
thf(c_0_115,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_20])]) ).
thf(c_0_116,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_112]) ).
thf(c_0_117,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
thf(c_0_118,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_115,c_0_20]) ).
thf(c_0_119,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_116,c_0_84]) ).
thf(c_0_120,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_114]) ).
thf(c_0_121,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_118]) ).
thf(c_0_122,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_123,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_112]) ).
thf(c_0_124,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_95]),c_0_39]) ).
thf(c_0_126,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_84]) ).
thf(c_0_127,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_20])]) ).
thf(c_0_128,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_84]) ).
thf(c_0_129,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_20])]) ).
thf(c_0_130,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_125]) ).
thf(c_0_131,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_132,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_126,c_0_118]) ).
thf(c_0_133,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
thf(c_0_134,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_108]) ).
thf(c_0_135,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_20])]) ).
thf(c_0_136,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_84]) ).
thf(c_0_137,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_20]) ).
thf(c_0_138,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_20]) ).
thf(c_0_139,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
thf(c_0_140,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_137]) ).
thf(c_0_141,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_138]) ).
thf(c_0_142,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_20]) ).
thf(c_0_143,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
thf(c_0_144,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_142]) ).
thf(c_0_145,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_146,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_137]) ).
thf(c_0_147,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_144,c_0_141]) ).
thf(c_0_148,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_20])]) ).
thf(c_0_149,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_146,c_0_141]) ).
thf(c_0_150,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_151,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_142]) ).
thf(c_0_152,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
thf(c_0_153,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_20])]) ).
thf(c_0_154,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_141]) ).
thf(c_0_155,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_20]) ).
thf(c_0_156,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
thf(c_0_157,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_155]) ).
thf(c_0_158,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_156,c_0_20]) ).
thf(c_0_159,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_157,c_0_155]) ).
thf(c_0_160,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_158]) ).
thf(c_0_161,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_162,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_95]),c_0_39]) ).
thf(c_0_163,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_160,c_0_158]) ).
thf(c_0_164,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_20])]) ).
thf(c_0_165,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_162]) ).
thf(c_0_166,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_167,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_95]),c_0_39]) ).
thf(c_0_168,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_149]) ).
thf(c_0_169,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_20])]) ).
thf(c_0_170,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_167]) ).
thf(c_0_171,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_20]) ).
thf(c_0_172,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_154]) ).
thf(c_0_173,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_171]) ).
thf(c_0_174,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_172,c_0_20]) ).
thf(c_0_175,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
thf(c_0_176,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_177,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_171]) ).
thf(c_0_178,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_20])]) ).
thf(c_0_179,negated_conjecture,
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_177,c_0_174]) ).
thf(c_0_180,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
thf(c_0_181,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_180,c_0_20]) ).
thf(c_0_182,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_181]) ).
thf(c_0_183,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_182,c_0_181]) ).
thf(c_0_184,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_185,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_95]),c_0_39]) ).
thf(c_0_186,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_20])]) ).
thf(c_0_187,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_185]) ).
thf(c_0_188,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_179]) ).
thf(c_0_189,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk6_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_141]) ).
thf(c_0_190,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_188,c_0_20]) ).
thf(c_0_191,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
thf(c_0_192,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_191,c_0_190]) ).
thf(c_0_193,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_194,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_141]),c_0_39]) ).
thf(c_0_195,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_20])]) ).
thf(c_0_196,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_194]) ).
thf(c_0_197,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_179]) ).
thf(c_0_198,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_197,c_0_20]) ).
thf(c_0_199,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_198]) ).
thf(c_0_200,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_199,c_0_198]) ).
thf(c_0_201,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_202,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_95]),c_0_39]) ).
thf(c_0_203,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_20])]) ).
thf(c_0_204,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_202]) ).
thf(c_0_205,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_179]),c_0_196]) ).
thf(c_0_206,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_207,negated_conjecture,
epred1_0 @ esk9_0 @ esk10_0,
inference(spm,[status(thm)],[c_0_205,c_0_20]) ).
thf(c_0_208,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_20])]) ).
thf(c_0_209,negated_conjecture,
epred1_0 @ esk10_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_39,c_0_207]) ).
thf(c_0_210,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_211,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_209])]) ).
thf(c_0_212,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_20])]) ).
thf(c_0_213,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_211,c_0_20]) ).
thf(c_0_214,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_209])]) ).
thf(c_0_215,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 @ esk12_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_213]) ).
thf(c_0_216,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_214,c_0_20]) ).
thf(c_0_217,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( 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(spm,[status(thm)],[c_0_215,c_0_216]) ).
thf(c_0_218,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_219,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_216]) ).
thf(c_0_220,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_218,c_0_20])]) ).
thf(c_0_221,negated_conjecture,
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_213]),c_0_39]) ).
thf(c_0_222,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_223,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_209])]) ).
thf(c_0_224,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_221]) ).
thf(c_0_225,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_20])]) ).
thf(c_0_226,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
thf(c_0_227,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_228,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_225,c_0_209])]) ).
thf(c_0_229,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_226,c_0_20]) ).
thf(c_0_230,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_20])]) ).
thf(c_0_231,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_228,c_0_20]) ).
thf(c_0_232,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_229]) ).
thf(c_0_233,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_230,c_0_209])]) ).
thf(c_0_234,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_231]) ).
thf(c_0_235,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $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 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_232]) ).
thf(c_0_236,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_233,c_0_20]) ).
thf(c_0_237,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_238,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_232]) ).
thf(c_0_239,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_235,c_0_236]) ).
thf(c_0_240,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_20])]) ).
thf(c_0_241,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_238,c_0_231]) ).
thf(c_0_242,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_243,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_239,c_0_236]) ).
thf(c_0_244,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_209])]) ).
thf(c_0_245,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_241,c_0_232]) ).
thf(c_0_246,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_20])]) ).
thf(c_0_247,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_232]),c_0_39]) ).
thf(c_0_248,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
thf(c_0_249,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_209])]) ).
thf(c_0_250,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_247]) ).
thf(c_0_251,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_248,c_0_20]) ).
thf(c_0_252,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
thf(c_0_253,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk12_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_251]) ).
thf(c_0_254,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_252,c_0_20]) ).
thf(c_0_255,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
thf(c_0_256,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_257,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_255,c_0_254]) ).
thf(c_0_258,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_20])]) ).
thf(c_0_259,negated_conjecture,
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_251]),c_0_39]) ).
thf(c_0_260,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_258,c_0_209])]) ).
thf(c_0_261,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_259]) ).
thf(c_0_262,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_260,c_0_261]) ).
thf(c_0_263,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_67,c_0_232]) ).
thf(c_0_264,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_262,c_0_20]) ).
thf(c_0_265,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_263,c_0_264]) ).
thf(c_0_266,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_267,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_268,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_265,c_0_264]) ).
thf(c_0_269,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_266,c_0_20])]) ).
thf(c_0_270,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_267,c_0_20])]) ).
thf(c_0_271,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_229]),c_0_39]) ).
thf(c_0_272,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_273,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_209])]) ).
thf(c_0_274,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_209])]) ).
thf(c_0_275,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_271]) ).
thf(c_0_276,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_272,c_0_20])]) ).
thf(c_0_277,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_273,c_0_20]) ).
thf(c_0_278,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_274,c_0_275]),c_0_261]) ).
thf(c_0_279,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_276,c_0_209])]) ).
thf(c_0_280,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_277]) ).
thf(c_0_281,negated_conjecture,
epred1_0 @ esk2_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_278,c_0_20]) ).
thf(c_0_282,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_279,c_0_20]) ).
thf(c_0_283,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_284,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
thf(c_0_285,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_282]) ).
thf(c_0_286,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_20])]) ).
thf(c_0_287,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_284,c_0_277]) ).
thf(c_0_288,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_289,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_285,c_0_281]) ).
thf(c_0_290,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_209])]) ).
thf(c_0_291,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_287,c_0_281]) ).
thf(c_0_292,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_288,c_0_20])]) ).
thf(c_0_293,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_289,c_0_282]) ).
thf(c_0_294,negated_conjecture,
epred1_0 @ esk3_0 @ esk2_0,
inference(spm,[status(thm)],[c_0_39,c_0_281]) ).
thf(c_0_295,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_290,c_0_291]) ).
thf(c_0_296,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_292,c_0_209])]) ).
thf(c_0_297,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
thf(c_0_298,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_295,c_0_20]) ).
thf(c_0_299,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_296,c_0_297]) ).
thf(c_0_300,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk12_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_298]) ).
thf(c_0_301,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_299,c_0_20]) ).
thf(c_0_302,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_300,c_0_301]) ).
thf(c_0_303,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_304,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ X3 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_302,c_0_301]) ).
thf(c_0_305,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_298]) ).
thf(c_0_306,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_307,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_303,c_0_20])]) ).
thf(c_0_308,negated_conjecture,
( ( epred1_0 @ esk13_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_39]) ).
thf(c_0_309,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_306,c_0_20])]) ).
thf(c_0_310,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_209])]) ).
thf(c_0_311,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk12_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_308]) ).
thf(c_0_312,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_313,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_309,c_0_209])]) ).
thf(c_0_314,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
thf(c_0_315,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_312,c_0_20])]) ).
thf(c_0_316,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_313,c_0_20]) ).
thf(c_0_317,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_281]) ).
thf(c_0_318,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_314,c_0_20]) ).
thf(c_0_319,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_315,c_0_209])]) ).
thf(c_0_320,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_316]) ).
thf(c_0_321,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
thf(c_0_322,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_319,c_0_20]) ).
thf(c_0_323,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_324,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_320,c_0_281]) ).
thf(c_0_325,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_326,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_321,c_0_318]) ).
thf(c_0_327,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_322]) ).
thf(c_0_328,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_20])]) ).
thf(c_0_329,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_324,c_0_316]) ).
thf(c_0_330,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_20])]) ).
thf(c_0_331,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_294]),c_0_39]) ).
thf(c_0_332,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_333,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_327,c_0_281]) ).
thf(c_0_334,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_209])]) ).
thf(c_0_335,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_329,c_0_281]) ).
thf(c_0_336,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_330,c_0_209])]) ).
thf(c_0_337,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_331]) ).
thf(c_0_338,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_332,c_0_20])]) ).
thf(c_0_339,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_333,c_0_322]) ).
thf(c_0_340,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_334,c_0_335]) ).
thf(c_0_341,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_311]) ).
thf(c_0_342,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_209])]) ).
thf(c_0_343,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_339,c_0_294]) ).
thf(c_0_344,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_340,c_0_20]) ).
thf(c_0_345,negated_conjecture,
epred1_0 @ esk6_0 @ esk7_0,
inference(spm,[status(thm)],[c_0_341,c_0_20]) ).
thf(c_0_346,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
thf(c_0_347,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_67,c_0_344]) ).
thf(c_0_348,negated_conjecture,
epred1_0 @ esk7_0 @ esk6_0,
inference(spm,[status(thm)],[c_0_39,c_0_345]) ).
thf(c_0_349,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_346,c_0_20]) ).
thf(c_0_350,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_351,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_347,c_0_348]) ).
thf(c_0_352,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_349]) ).
thf(c_0_353,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_350,c_0_20])]) ).
thf(c_0_354,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_351,c_0_344]) ).
thf(c_0_355,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_356,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_352,c_0_348]) ).
thf(c_0_357,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_353,c_0_209])]) ).
thf(c_0_358,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_354,c_0_345]) ).
thf(c_0_359,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_355,c_0_20])]) ).
thf(c_0_360,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_356,c_0_349]) ).
thf(c_0_361,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_357,c_0_358]) ).
thf(c_0_362,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_359,c_0_209])]) ).
thf(c_0_363,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_360,c_0_348]) ).
thf(c_0_364,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 ) ),
inference(spm,[status(thm)],[c_0_361,c_0_20]) ).
thf(c_0_365,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_362,c_0_363]) ).
thf(c_0_366,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_364]) ).
thf(c_0_367,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 ) ),
inference(spm,[status(thm)],[c_0_365,c_0_20]) ).
thf(c_0_368,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_369,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_366,c_0_364]) ).
thf(c_0_370,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_367]) ).
thf(c_0_371,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_368,c_0_20])]) ).
thf(c_0_372,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_294]),c_0_39]) ).
thf(c_0_373,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_374,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_370,c_0_367]) ).
thf(c_0_375,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_209])]) ).
thf(c_0_376,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_372]) ).
thf(c_0_377,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_20])]) ).
thf(c_0_378,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_294]),c_0_39]) ).
thf(c_0_379,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_358]) ).
thf(c_0_380,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_377,c_0_209])]) ).
thf(c_0_381,negated_conjecture,
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_378]) ).
thf(c_0_382,negated_conjecture,
epred1_0 @ esk11_0 @ esk13_0,
inference(spm,[status(thm)],[c_0_379,c_0_20]) ).
thf(c_0_383,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk11_0 @ esk12_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_363]) ).
thf(c_0_384,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk13_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk11_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_382]) ).
thf(c_0_385,negated_conjecture,
epred1_0 @ esk11_0 @ esk12_0,
inference(spm,[status(thm)],[c_0_383,c_0_20]) ).
thf(c_0_386,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_387,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_384,c_0_385]) ).
thf(c_0_388,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_386,c_0_20])]) ).
thf(c_0_389,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk12_0 @ esk13_0 )
| ( epred1_0 @ X3 @ esk13_0 )
| ~ ( epred1_0 @ esk11_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_387,c_0_382]) ).
thf(c_0_390,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_388,c_0_209])]) ).
thf(c_0_391,negated_conjecture,
epred1_0 @ esk12_0 @ esk13_0,
inference(spm,[status(thm)],[c_0_389,c_0_385]) ).
thf(c_0_392,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_390,c_0_391])]) ).
thf(c_0_393,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_392,c_0_20]) ).
thf(c_0_394,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_395,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_393]) ).
thf(c_0_396,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_394,c_0_20])]) ).
thf(c_0_397,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_395,c_0_393]) ).
thf(c_0_398,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_209])]) ).
thf(c_0_399,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_294]),c_0_39]) ).
thf(c_0_400,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_391])]) ).
thf(c_0_401,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_399]) ).
thf(c_0_402,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_400,c_0_401]) ).
thf(c_0_403,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk6_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_348]) ).
thf(c_0_404,negated_conjecture,
epred1_0 @ esk7_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_402,c_0_20]) ).
thf(c_0_405,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_406,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_403,c_0_404]) ).
thf(c_0_407,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_20])]) ).
thf(c_0_408,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk7_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_406,c_0_404]) ).
thf(c_0_409,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_407,c_0_209])]) ).
thf(c_0_410,negated_conjecture,
epred1_0 @ esk8_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_348]),c_0_39]) ).
thf(c_0_411,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_409,c_0_391])]) ).
thf(c_0_412,negated_conjecture,
epred1_0 @ esk6_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_39,c_0_410]) ).
thf(c_0_413,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_411,c_0_412])]) ).
thf(c_0_414,negated_conjecture,
! [X3: $i] :
( ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_415,negated_conjecture,
epred1_0 @ esk2_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_413,c_0_20]) ).
thf(c_0_416,negated_conjecture,
! [X3: $i] :
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_414,c_0_20])]) ).
thf(c_0_417,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_415]) ).
thf(c_0_418,negated_conjecture,
! [X3: $i] :
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk12_0 @ esk13_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_416,c_0_209])]) ).
thf(c_0_419,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_417,c_0_415]) ).
thf(c_0_420,negated_conjecture,
! [X3: $i] :
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_418,c_0_391])]) ).
thf(c_0_421,negated_conjecture,
epred1_0 @ esk4_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_294]),c_0_39]) ).
thf(c_0_422,negated_conjecture,
! [X3: $i] :
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_412])]) ).
thf(c_0_423,negated_conjecture,
epred1_0 @ esk3_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_39,c_0_421]) ).
thf(c_0_424,negated_conjecture,
! [X3: $i] :
~ ( epred1_0 @ esk5_0 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_422,c_0_423])]) ).
thf(c_0_425,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_424,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL864^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.26 % Computer : n005.cluster.edu
% 0.13/0.26 % Model : x86_64 x86_64
% 0.13/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.26 % Memory : 8046.5625MB
% 0.13/0.26 % OS : Linux 6.8.0-71-generic
% 0.13/0.26 % CPULimit : 300
% 0.13/0.26 % WCLimit : 300
% 0.13/0.26 % DateTime : Tue Sep 29 10:15:16 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.33 Running higher-order theorem proving
% 0.25/0.34 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.g8GhGCmMVu/E---3.1_1476338.p
% 6.02/1.16 % Version: 3.5.1-ho
% 6.02/1.16 % Preprocessing class: HSMSSMSSMLMNHSN.
% 6.02/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.02/1.16 % Starting ho_unfolding_3 with 1500s (5) cores
% 6.02/1.16 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 6.02/1.16 % Starting almost_fo_3_lam with 300s (1) cores
% 6.02/1.16 % Starting post_as_ho1 with 300s (1) cores
% 6.02/1.16 % ho_unfolding_3 with pid 1476351 completed with status 0
% 6.02/1.16 % Result found by ho_unfolding_3
% 6.02/1.16 % Preprocessing class: HSMSSMSSMLMNHSN.
% 6.02/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.02/1.16 % Starting ho_unfolding_3 with 1500s (5) cores
% 6.02/1.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.02/1.16 % No SInE strategy applied
% 6.02/1.16 % Search class: HGHNF-FFMF11-SHSSMFNN
% 6.02/1.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.02/1.16 % Starting SubtermCWHack with 136s (1) cores
% 6.02/1.16 % Starting ho_unfolding_3 with 151s (1) cores
% 6.02/1.16 % Starting post_as_ho11 with 136s (1) cores
% 6.02/1.16 % Starting new_ho_9 with 136s (1) cores
% 6.02/1.16 % Starting post_as_ho4 with 136s (1) cores
% 6.02/1.16 % ho_unfolding_3 with pid 1476357 completed with status 0
% 6.02/1.16 % Result found by ho_unfolding_3
% 6.02/1.16 % Preprocessing class: HSMSSMSSMLMNHSN.
% 6.02/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 6.02/1.16 % Starting ho_unfolding_3 with 1500s (5) cores
% 6.02/1.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 6.02/1.16 % No SInE strategy applied
% 6.02/1.16 % Search class: HGHNF-FFMF11-SHSSMFNN
% 6.02/1.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 6.02/1.16 % Starting SubtermCWHack with 136s (1) cores
% 6.02/1.16 % Starting ho_unfolding_3 with 151s (1) cores
% 6.02/1.16 % Preprocessing time : 0.004 s
% 6.02/1.16 % Presaturation interreduction done
% 6.02/1.16
% 6.02/1.16 % Proof found!
% 6.02/1.16 % SZS status Theorem
% 6.02/1.16 % SZS output start CNFRefutation
% See solution above
% 6.02/1.16 % Parsed axioms : 64
% 6.02/1.16 % Removed by relevancy pruning/SinE : 0
% 6.02/1.16 % Initial clauses : 94
% 6.02/1.16 % Removed in clause preprocessing : 32
% 6.02/1.16 % Initial clauses in saturation : 62
% 6.02/1.16 % Processed clauses : 2675
% 6.02/1.16 % ...of these trivial : 4
% 6.02/1.16 % ...subsumed : 1182
% 6.02/1.16 % ...remaining for further processing : 1489
% 6.02/1.16 % Other redundant clauses eliminated : 0
% 6.02/1.16 % Clauses deleted for lack of memory : 0
% 6.02/1.16 % Backward-subsumed : 994
% 6.02/1.16 % Backward-rewritten : 357
% 6.02/1.16 % Generated clauses : 11060
% 6.02/1.16 % ...of the previous two non-redundant : 10027
% 6.02/1.16 % ...aggressively subsumed : 0
% 6.02/1.16 % Contextual simplify-reflections : 33
% 6.02/1.16 % Paramodulations : 11060
% 6.02/1.16 % Factorizations : 0
% 6.02/1.16 % NegExts : 0
% 6.02/1.16 % Equation resolutions : 0
% 6.02/1.16 % Disequality decompositions : 0
% 6.02/1.16 % Total rewrite steps : 1449
% 6.02/1.16 % ...of those cached : 1414
% 6.02/1.16 % Propositional unsat checks : 0
% 6.02/1.16 % Propositional check models : 0
% 6.02/1.16 % Propositional check unsatisfiable : 0
% 6.02/1.16 % Propositional clauses : 0
% 6.02/1.16 % Propositional clauses after purity: 0
% 6.02/1.16 % Propositional unsat core size : 0
% 6.02/1.16 % Propositional preprocessing time : 0.000
% 6.02/1.16 % Propositional encoding time : 0.000
% 6.02/1.16 % Propositional solver time : 0.000
% 6.02/1.16 % Success case prop preproc time : 0.000
% 6.02/1.16 % Success case prop encoding time : 0.000
% 6.02/1.16 % Success case prop solver time : 0.000
% 6.02/1.16 % Current number of processed clauses : 76
% 6.02/1.16 % Positive orientable unit clauses : 21
% 6.02/1.16 % Positive unorientable unit clauses: 0
% 6.02/1.16 % Negative unit clauses : 1
% 6.02/1.16 % Non-unit-clauses : 54
% 6.02/1.16 % Current number of unprocessed clauses: 223
% 6.02/1.16 % ...number of literals in the above : 968
% 6.02/1.16 % Current number of archived formulas : 0
% 6.02/1.16 % Current number of archived clauses : 1413
% 6.02/1.16 % Clause-clause subsumption calls (NU) : 74060
% 6.02/1.16 % Rec. Clause-clause subsumption calls : 17247
% 6.02/1.16 % Non-unit clause-clause subsumptions : 2215
% 6.02/1.16 % Unit Clause-clause subsumption calls : 247
% 6.02/1.16 % Rewrite failures with RHS unbound : 0
% 6.02/1.16 % BW rewrite match attempts : 47
% 6.02/1.16 % BW rewrite match successes : 18
% 6.02/1.16 % Condensation attempts : 2675
% 6.02/1.16 % Condensation successes : 8
% 6.02/1.16 % Termbank termtop insertions : 245529
% 6.02/1.16 % Search garbage collected termcells : 1023
% 6.02/1.16
% 6.02/1.16 % -------------------------------------------------
% 6.02/1.16 % User time : 0.768 s
% 6.02/1.16 % System time : 0.013 s
% 6.02/1.16 % Total time : 0.781 s
% 6.02/1.16 % Maximum resident set size: 3900 pages
% 6.02/1.16
% 6.02/1.16 % -------------------------------------------------
% 6.02/1.16 % User time : 3.668 s
% 6.02/1.16 % System time : 0.062 s
% 6.02/1.16 % Total time : 3.730 s
% 6.02/1.16 % Maximum resident set size: 4864 pages
% 6.02/1.16 % E exiting
%------------------------------------------------------------------------------