%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL867^1 : 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 : n018.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 08:12:29 AM UTC 2026
% Result : Theorem 1.16s 0.41s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_41,type,
msymmetric: ( $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(conj,conjecture,
! [X13: $i > $i > $o] :
( ( ( msymmetric @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mtransitive @ X13 )
& ( msymmetric @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.BWv2Ux7EMy/E---3.1_4087612.p',conj) ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( X13 @ X15 @ X16 )
=> ( X13 @ X16 @ X15 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.BWv2Ux7EMy/E---3.1_4087612.p',msymmetric) ).
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.BWv2Ux7EMy/E---3.1_4087612.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.BWv2Ux7EMy/E---3.1_4087612.p',meuclidean) ).
thf(c_0_4,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ( msymmetric @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mtransitive @ X13 )
& ( msymmetric @ X13 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_5,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_6,plain,
( mtransitive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X16 @ X17 ) )
=> ( Z0 @ X15 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[mtransitive]) ).
thf(c_0_7,plain,
( meuclidean
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X15 @ X17 ) )
=> ( Z0 @ X16 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[meuclidean]) ).
thf(c_0_8,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ! [X22: $i,X23: $i] :
( ( X13 @ X22 @ X23 )
=> ( X13 @ X23 @ X22 ) )
& ! [X24: $i,X25: $i,X26: $i] :
( ( ( X13 @ X24 @ X25 )
& ( X13 @ X24 @ X26 ) )
=> ( X13 @ X25 @ X26 ) ) )
<=> ( ! [X27: $i,X28: $i,X29: $i] :
( ( ( X13 @ X27 @ X28 )
& ( X13 @ X28 @ X29 ) )
=> ( X13 @ X27 @ X29 ) )
& ! [X30: $i,X31: $i] :
( ( X13 @ X30 @ X31 )
=> ( X13 @ X31 @ X30 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).
thf(c_0_9,negated_conjecture,
! [X43: $i,X44: $i,X45: $i,X46: $i,X47: $i,X48: $i,X49: $i,X50: $i,X51: $i,X52: $i] :
( ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ X48 @ X49 )
| ~ ( epred1_0 @ X49 @ X50 )
| ( epred1_0 @ X48 @ X50 )
| ~ ( epred1_0 @ X43 @ X44 )
| ( epred1_0 @ X44 @ X43 ) )
& ( ~ ( epred1_0 @ X51 @ X52 )
| ( epred1_0 @ X52 @ X51 )
| ~ ( epred1_0 @ X43 @ X44 )
| ( epred1_0 @ X44 @ X43 ) )
& ( ~ ( epred1_0 @ X48 @ X49 )
| ~ ( epred1_0 @ X49 @ X50 )
| ( epred1_0 @ X48 @ X50 )
| ~ ( epred1_0 @ X45 @ X46 )
| ~ ( epred1_0 @ X45 @ X47 )
| ( epred1_0 @ X46 @ X47 ) )
& ( ~ ( epred1_0 @ X51 @ X52 )
| ( epred1_0 @ X52 @ X51 )
| ~ ( epred1_0 @ X45 @ X46 )
| ~ ( epred1_0 @ X45 @ X47 )
| ( epred1_0 @ X46 @ X47 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
thf(c_0_10,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( epred1_0 @ X14 @ X3 )
| ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i,X17: $i,X21: $i] :
( ( epred1_0 @ X3 @ X15 )
| ( epred1_0 @ X17 @ X21 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X16 @ X21 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(condense,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_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_11,c_0_12]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_19,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_12]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_17]) ).
thf(c_0_21,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_24,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_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_21,c_0_22]) ).
thf(c_0_25,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_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_21,c_0_23]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_22]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
thf(c_0_28,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
thf(c_0_29,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_13]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_13]) ).
thf(c_0_32,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_33,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_29]),c_0_30]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_31]),c_0_32]) ).
thf(c_0_35,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_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_11,c_0_33]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_38,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_33]) ).
thf(c_0_39,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_34]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
thf(c_0_42,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_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_21,c_0_41]) ).
thf(c_0_43,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
thf(c_0_44,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_27]),c_0_13]) ).
thf(c_0_45,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_46,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_44]) ).
thf(c_0_47,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40]) ).
thf(c_0_48,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_49,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_47]) ).
thf(c_0_50,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_51,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_48,c_0_49]) ).
thf(c_0_52,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_50,c_0_49]) ).
thf(c_0_53,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_54,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_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_11,c_0_51]) ).
thf(c_0_55,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_52]) ).
thf(c_0_56,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_49]) ).
thf(c_0_57,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
thf(c_0_59,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_49]) ).
thf(c_0_60,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_51]) ).
thf(c_0_61,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_62,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_59]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_52]),c_0_56]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_49]) ).
thf(c_0_65,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_66,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
thf(c_0_67,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_49]) ).
thf(c_0_68,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_69,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_63]) ).
thf(c_0_71,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_67]) ).
thf(c_0_72,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
thf(c_0_73,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_64]) ).
thf(c_0_74,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_63]),c_0_72]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_73]) ).
thf(c_0_76,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_67]) ).
thf(c_0_77,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $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 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_75]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_70]),c_0_72]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk8_0 @ esk6_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_77,c_0_78]) ).
thf(c_0_80,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_79,c_0_78]) ).
thf(c_0_81,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_82,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk6_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_73]),c_0_13]) ).
thf(c_0_83,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_49]) ).
thf(c_0_84,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_82]) ).
thf(c_0_85,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_63]) ).
thf(c_0_86,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
thf(c_0_87,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk5_0 @ esk4_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_85,c_0_86]) ).
thf(c_0_88,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
thf(c_0_89,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_70]),c_0_13]) ).
thf(c_0_90,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_91,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_89]) ).
thf(c_0_92,negated_conjecture,
epred1_0 @ esk9_0 @ esk10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_84]),c_0_49]) ).
thf(c_0_93,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_94,negated_conjecture,
epred1_0 @ esk10_0 @ esk9_0,
inference(spm,[status(thm)],[c_0_13,c_0_92]) ).
thf(c_0_95,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_96,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
thf(c_0_97,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_94])]) ).
thf(c_0_98,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_99,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_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_11,c_0_96]) ).
thf(c_0_100,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_97]) ).
thf(c_0_101,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_94])]) ).
thf(c_0_102,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_103,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
thf(c_0_104,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_105,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_94])]) ).
thf(c_0_106,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_96]) ).
thf(c_0_107,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_108,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_94])]) ).
thf(c_0_109,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_110,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_105]) ).
thf(c_0_111,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_97]),c_0_101]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_94])]) ).
thf(c_0_113,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_108]) ).
thf(c_0_114,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_94])]) ).
thf(c_0_115,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]) ).
thf(c_0_116,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_111]),c_0_114]) ).
thf(c_0_117,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_115,c_0_105]) ).
thf(c_0_118,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_111]) ).
thf(c_0_119,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_116,c_0_108]) ).
thf(c_0_120,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_112]) ).
thf(c_0_121,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_118]),c_0_114]) ).
thf(c_0_122,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_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_11,c_0_120]) ).
thf(c_0_123,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_121]) ).
thf(c_0_124,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
thf(c_0_125,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_126,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_124,c_0_120]) ).
thf(c_0_127,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_94])]) ).
thf(c_0_128,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_126,c_0_121]) ).
thf(c_0_129,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_111]) ).
thf(c_0_130,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
thf(c_0_131,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
thf(c_0_132,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_131,c_0_130]) ).
thf(c_0_133,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_134,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_118]),c_0_13]) ).
thf(c_0_135,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_94])]) ).
thf(c_0_136,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_134]) ).
thf(c_0_137,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_138,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_128]) ).
thf(c_0_139,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_140,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_94])]) ).
thf(c_0_141,negated_conjecture,
epred1_0 @ esk2_0 @ esk1_0,
inference(spm,[status(thm)],[c_0_13,c_0_138]) ).
thf(c_0_142,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_94])]) ).
thf(c_0_143,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_144,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
thf(c_0_145,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_141])]) ).
thf(c_0_146,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_94])]) ).
thf(c_0_147,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_148,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk3_0 @ esk4_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_11,c_0_144]) ).
thf(c_0_149,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_145]) ).
thf(c_0_150,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_141])]) ).
thf(c_0_151,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_152,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_94])]) ).
thf(c_0_153,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
thf(c_0_154,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_155,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_94])]) ).
thf(c_0_156,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_157,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk7_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_141])]) ).
thf(c_0_158,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_144]) ).
thf(c_0_159,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_94])]) ).
thf(c_0_160,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_141])]) ).
thf(c_0_161,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_94])]) ).
thf(c_0_162,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_157]) ).
thf(c_0_163,negated_conjecture,
epred1_0 @ esk3_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_145]),c_0_150]) ).
thf(c_0_164,negated_conjecture,
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_141])]) ).
thf(c_0_165,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_160]) ).
thf(c_0_166,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_141])]) ).
thf(c_0_167,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_164]) ).
thf(c_0_168,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_163]),c_0_166]) ).
thf(c_0_169,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk7_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_167,c_0_157]) ).
thf(c_0_170,negated_conjecture,
epred1_0 @ esk4_0 @ esk3_0,
inference(spm,[status(thm)],[c_0_13,c_0_163]) ).
thf(c_0_171,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_160]) ).
thf(c_0_172,negated_conjecture,
epred1_0 @ esk7_0 @ esk8_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_164]) ).
thf(c_0_173,negated_conjecture,
epred1_0 @ esk6_0 @ esk7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_170]),c_0_166]) ).
thf(c_0_174,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_175,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( 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_11,c_0_172]) ).
thf(c_0_176,negated_conjecture,
epred1_0 @ esk7_0 @ esk6_0,
inference(spm,[status(thm)],[c_0_13,c_0_173]) ).
thf(c_0_177,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_94])]) ).
thf(c_0_178,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
thf(c_0_179,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X16: $i] :
( ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X14 @ X16 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_163]) ).
thf(c_0_180,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_141])]) ).
thf(c_0_181,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk8_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_172]) ).
thf(c_0_182,negated_conjecture,
( ~ ( epred1_0 @ esk10_0 @ esk9_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_183,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
thf(c_0_184,negated_conjecture,
epred1_0 @ esk6_0 @ esk8_0,
inference(spm,[status(thm)],[c_0_181,c_0_173]) ).
thf(c_0_185,negated_conjecture,
( ~ ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_94])]) ).
thf(c_0_186,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).
thf(c_0_187,negated_conjecture,
epred1_0 @ esk3_0 @ esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_184])]) ).
thf(c_0_188,negated_conjecture,
( ~ ( epred1_0 @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ esk6_0 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_141])]) ).
thf(c_0_189,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk5_0 )
| ~ ( epred1_0 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
thf(c_0_190,negated_conjecture,
~ ( epred1_0 @ esk4_0 @ esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_188,c_0_184])]) ).
thf(c_0_191,negated_conjecture,
epred1_0 @ esk5_0 @ esk4_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_170]),c_0_190]) ).
thf(c_0_192,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_191]),c_0_190]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL867^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 10:18:25 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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.BWv2Ux7EMy/E---3.1_4087612.p
% 1.16/0.41 % Version: 3.5.1-ho
% 1.16/0.41 % Preprocessing class: HSMSSMSSMLMNHSN.
% 1.16/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.41 % Starting ho_unfolding_3 with 1500s (5) cores
% 1.16/0.41 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 1.16/0.41 % Starting almost_fo_3_lam with 300s (1) cores
% 1.16/0.41 % Starting post_as_ho1 with 300s (1) cores
% 1.16/0.41 % ho_unfolding_3 with pid 4087646 completed with status 0
% 1.16/0.41 % Result found by ho_unfolding_3
% 1.16/0.41 % Preprocessing class: HSMSSMSSMLMNHSN.
% 1.16/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.41 % Starting ho_unfolding_3 with 1500s (5) cores
% 1.16/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.16/0.41 % No SInE strategy applied
% 1.16/0.41 % Search class: HGHNF-FFMS00-SHSSMFNN
% 1.16/0.41 % partial match(1): HGHNF-FFSS00-SHSSMFNN
% 1.16/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.16/0.41 % Starting SubtermCWHack with 136s (1) cores
% 1.16/0.41 % Starting ho_unfolding_3 with 151s (1) cores
% 1.16/0.41 % Starting sh5l with 136s (1) cores
% 1.16/0.41 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 1.16/0.41 % Starting lpo1_def_fix with 136s (1) cores
% 1.16/0.41 % ho_unfolding_3 with pid 4087652 completed with status 0
% 1.16/0.41 % Result found by ho_unfolding_3
% 1.16/0.41 % Preprocessing class: HSMSSMSSMLMNHSN.
% 1.16/0.41 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.16/0.41 % Starting ho_unfolding_3 with 1500s (5) cores
% 1.16/0.41 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.16/0.41 % No SInE strategy applied
% 1.16/0.41 % Search class: HGHNF-FFMS00-SHSSMFNN
% 1.16/0.41 % partial match(1): HGHNF-FFSS00-SHSSMFNN
% 1.16/0.41 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.16/0.41 % Starting SubtermCWHack with 136s (1) cores
% 1.16/0.41 % Starting ho_unfolding_3 with 151s (1) cores
% 1.16/0.41 % Preprocessing time : 0.002 s
% 1.16/0.41 % Presaturation interreduction done
% 1.16/0.41
% 1.16/0.41 % Proof found!
% 1.16/0.41 % SZS status Theorem
% 1.16/0.41 % SZS output start CNFRefutation
% See solution above
% 1.16/0.41 % Parsed axioms : 64
% 1.16/0.41 % Removed by relevancy pruning/SinE : 0
% 1.16/0.41 % Initial clauses : 72
% 1.16/0.41 % Removed in clause preprocessing : 32
% 1.16/0.41 % Initial clauses in saturation : 40
% 1.16/0.41 % Processed clauses : 1038
% 1.16/0.41 % ...of these trivial : 2
% 1.16/0.41 % ...subsumed : 385
% 1.16/0.41 % ...remaining for further processing : 651
% 1.16/0.41 % Other redundant clauses eliminated : 0
% 1.16/0.41 % Clauses deleted for lack of memory : 0
% 1.16/0.41 % Backward-subsumed : 385
% 1.16/0.41 % Backward-rewritten : 191
% 1.16/0.41 % Generated clauses : 2582
% 1.16/0.41 % ...of the previous two non-redundant : 2093
% 1.16/0.41 % ...aggressively subsumed : 0
% 1.16/0.41 % Contextual simplify-reflections : 39
% 1.16/0.41 % Paramodulations : 2582
% 1.16/0.41 % Factorizations : 0
% 1.16/0.41 % NegExts : 0
% 1.16/0.41 % Equation resolutions : 0
% 1.16/0.41 % Disequality decompositions : 0
% 1.16/0.41 % Total rewrite steps : 391
% 1.16/0.41 % ...of those cached : 367
% 1.16/0.41 % Propositional unsat checks : 0
% 1.16/0.41 % Propositional check models : 0
% 1.16/0.41 % Propositional check unsatisfiable : 0
% 1.16/0.41 % Propositional clauses : 0
% 1.16/0.41 % Propositional clauses after purity: 0
% 1.16/0.41 % Propositional unsat core size : 0
% 1.16/0.41 % Propositional preprocessing time : 0.000
% 1.16/0.41 % Propositional encoding time : 0.000
% 1.16/0.41 % Propositional solver time : 0.000
% 1.16/0.41 % Success case prop preproc time : 0.000
% 1.16/0.41 % Success case prop encoding time : 0.000
% 1.16/0.41 % Success case prop solver time : 0.000
% 1.16/0.41 % Current number of processed clauses : 37
% 1.16/0.41 % Positive orientable unit clauses : 24
% 1.16/0.41 % Positive unorientable unit clauses: 0
% 1.16/0.41 % Negative unit clauses : 1
% 1.16/0.41 % Non-unit-clauses : 12
% 1.16/0.41 % Current number of unprocessed clauses: 22
% 1.16/0.41 % ...number of literals in the above : 104
% 1.16/0.41 % Current number of archived formulas : 0
% 1.16/0.41 % Current number of archived clauses : 614
% 1.16/0.41 % Clause-clause subsumption calls (NU) : 15894
% 1.16/0.41 % Rec. Clause-clause subsumption calls : 5878
% 1.16/0.41 % Non-unit clause-clause subsumptions : 801
% 1.16/0.41 % Unit Clause-clause subsumption calls : 90
% 1.16/0.41 % Rewrite failures with RHS unbound : 0
% 1.16/0.41 % BW rewrite match attempts : 19
% 1.16/0.41 % BW rewrite match successes : 19
% 1.16/0.41 % Condensation attempts : 1038
% 1.16/0.41 % Condensation successes : 1
% 1.16/0.41 % Termbank termtop insertions : 73109
% 1.16/0.41 % Search garbage collected termcells : 767
% 1.16/0.41
% 1.16/0.41 % -------------------------------------------------
% 1.16/0.41 % User time : 0.146 s
% 1.16/0.41 % System time : 0.006 s
% 1.16/0.41 % Total time : 0.152 s
% 1.16/0.41 % Maximum resident set size: 3692 pages
% 1.16/0.41
% 1.16/0.41 % -------------------------------------------------
% 1.16/0.41 % User time : 0.688 s
% 1.16/0.41 % System time : 0.020 s
% 1.16/0.41 % Total time : 0.708 s
% 1.16/0.41 % Maximum resident set size: 4864 pages
% 1.16/0.41 % E exiting
%------------------------------------------------------------------------------