%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LCL859^1 : 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 : n010.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 08:12:08 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 4
% Syntax : Number of formulae : 121 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 545 ( 6 equ; 0 cnn)
% Maximal formula atoms : 114 ( 4 avg)
% Number of connectives : 1800 ( 268 ~; 388 |; 36 &;1098 @)
% ( 3 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 174 ( 6 ^; 168 !; 0 ?; 174 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_40,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(decl_41,type,
msymmetric: ( $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] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mreflexive @ X13 )
& ( msymmetric @ X13 )
& ( meuclidean @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.H3A4x9p9qa/E---3.1_2661361.p',conj) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] : ( X13 @ X15 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.H3A4x9p9qa/E---3.1_2661361.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.H3A4x9p9qa/E---3.1_2661361.p',msymmetric) ).
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.H3A4x9p9qa/E---3.1_2661361.p',meuclidean) ).
thf(c_0_4,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ( mreflexive @ X13 )
& ( meuclidean @ X13 ) )
<=> ( ( mreflexive @ X13 )
& ( msymmetric @ X13 )
& ( meuclidean @ X13 ) ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_5,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] : ( Z0 @ X15 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_6,plain,
( msymmetric
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( Z0 @ X15 @ X16 )
=> ( Z0 @ X16 @ X15 ) ) ) ),
inference(fof_simplification,[status(thm)],[msymmetric]) ).
thf(c_0_7,plain,
( meuclidean
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i,X17: $i] :
( ( ( Z0 @ X15 @ X16 )
& ( Z0 @ X15 @ X17 ) )
=> ( Z0 @ X16 @ X17 ) ) ) ),
inference(fof_simplification,[status(thm)],[meuclidean]) ).
thf(c_0_8,negated_conjecture,
~ ! [X13: $i > $i > $o] :
( ( ! [X22: $i] : ( X13 @ X22 @ X22 )
& ! [X23: $i,X24: $i,X25: $i] :
( ( ( X13 @ X23 @ X24 )
& ( X13 @ X23 @ X25 ) )
=> ( X13 @ X24 @ X25 ) ) )
<=> ( ! [X26: $i] : ( X13 @ X26 @ X26 )
& ! [X27: $i,X28: $i] :
( ( X13 @ X27 @ X28 )
=> ( X13 @ X28 @ X27 ) )
& ! [X29: $i,X30: $i,X31: $i] :
( ( ( X13 @ X29 @ X30 )
& ( X13 @ X29 @ X31 ) )
=> ( X13 @ X30 @ X31 ) ) ) ),
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 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) )
& ( ( epred1_0 @ X47 @ X47 )
| ( epred1_0 @ X43 @ X43 ) )
& ( ~ ( epred1_0 @ X48 @ X49 )
| ( epred1_0 @ X49 @ X48 )
| ( epred1_0 @ X43 @ X43 ) )
& ( ~ ( epred1_0 @ X50 @ X51 )
| ~ ( epred1_0 @ X50 @ X52 )
| ( epred1_0 @ X51 @ X52 )
| ( epred1_0 @ X43 @ X43 ) )
& ( ( epred1_0 @ X47 @ X47 )
| ~ ( epred1_0 @ X44 @ X45 )
| ~ ( epred1_0 @ X44 @ X46 )
| ( epred1_0 @ X45 @ X46 ) )
& ( ~ ( epred1_0 @ X48 @ X49 )
| ( epred1_0 @ X49 @ X48 )
| ~ ( epred1_0 @ X44 @ X45 )
| ~ ( epred1_0 @ X44 @ X46 )
| ( epred1_0 @ X45 @ X46 ) )
& ( ~ ( epred1_0 @ X50 @ X51 )
| ~ ( epred1_0 @ X50 @ X52 )
| ( epred1_0 @ X51 @ X52 )
| ~ ( epred1_0 @ X44 @ X45 )
| ~ ( epred1_0 @ X44 @ X46 )
| ( epred1_0 @ X45 @ X46 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
thf(c_0_10,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ X3 )
| ( epred1_0 @ X14 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_11,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_12,negated_conjecture,
! [X3: $i] : ( epred1_0 @ X3 @ X3 ),
inference(ef,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i,X17: $i,X21: $i] :
( ( epred1_0 @ X14 @ X15 )
| ( epred1_0 @ X17 @ X21 )
| ~ ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X3 @ X15 )
| ~ ( epred1_0 @ X16 @ X17 )
| ~ ( epred1_0 @ X16 @ X21 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12])]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_18,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_12]),c_0_12])]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_12]),c_0_12])]) ).
thf(c_0_21,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_12]),c_0_12])]) ).
thf(c_0_22,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_24,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_21]) ).
thf(c_0_26,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_12]),c_0_12])]) ).
thf(c_0_27,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_12]),c_0_12])]) ).
thf(c_0_28,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_14]) ).
thf(c_0_29,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
thf(c_0_30,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_31,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_19]),c_0_20]) ).
thf(c_0_32,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_21]) ).
thf(c_0_33,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_9]) ).
thf(c_0_34,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_12]),c_0_12])]) ).
thf(c_0_35,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_36,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_37,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_31]) ).
thf(c_0_38,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_26]),c_0_27]) ).
thf(c_0_39,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_12]),c_0_12])]) ).
thf(c_0_41,negated_conjecture,
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_12]),c_0_12])]) ).
thf(c_0_42,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_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_37,c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_38]) ).
thf(c_0_44,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
thf(c_0_45,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
thf(c_0_46,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_44]) ).
thf(c_0_47,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_34]) ).
thf(c_0_48,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_31]),c_0_46]) ).
thf(c_0_49,negated_conjecture,
! [X14: $i,X16: $i,X3: $i,X15: $i] :
( ( epred1_0 @ X3 @ X14 )
| ( epred1_0 @ X15 @ X16 )
| ~ ( epred1_0 @ X14 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_12]) ).
thf(c_0_50,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_40]),c_0_41]) ).
thf(c_0_51,negated_conjecture,
( ( epred1_0 @ esk3_0 @ esk4_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_48]) ).
thf(c_0_52,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ esk10_0 @ esk8_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
thf(c_0_53,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_54,negated_conjecture,
( ( epred1_0 @ esk10_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_34]) ).
thf(c_0_55,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk8_0 )
| ~ ( epred1_0 @ esk10_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_51]) ).
thf(c_0_56,negated_conjecture,
( ( epred1_0 @ esk10_0 @ esk8_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_12]) ).
thf(c_0_57,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk6_0 @ esk7_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_57]) ).
thf(c_0_59,negated_conjecture,
( ( epred1_0 @ esk9_0 @ esk10_0 )
| ( epred1_0 @ esk6_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_40]),c_0_51]) ).
thf(c_0_60,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_61,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_62,negated_conjecture,
epred1_0 @ esk6_0 @ esk7_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_59]),c_0_51]) ).
thf(c_0_63,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_12]),c_0_12])]) ).
thf(c_0_64,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_65,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_66,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_12]),c_0_12])]) ).
thf(c_0_67,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk7_0 @ esk6_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_62]) ).
thf(c_0_68,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_69,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_63]) ).
thf(c_0_70,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_12]),c_0_12])]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_12]),c_0_12])]) ).
thf(c_0_72,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_66]) ).
thf(c_0_73,negated_conjecture,
epred1_0 @ esk7_0 @ esk6_0,
inference(spm,[status(thm)],[c_0_67,c_0_62]) ).
thf(c_0_74,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_12]),c_0_12])]) ).
thf(c_0_75,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
thf(c_0_76,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_77,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk9_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_73])]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_73])]) ).
thf(c_0_79,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_63]) ).
thf(c_0_80,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_74]) ).
thf(c_0_81,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_12]),c_0_12])]) ).
thf(c_0_82,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
thf(c_0_83,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_84,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk3_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_70]),c_0_71]) ).
thf(c_0_85,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_66]),c_0_81]) ).
thf(c_0_86,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_78]) ).
thf(c_0_87,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ esk8_0 @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_73])]) ).
thf(c_0_88,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_73])]) ).
thf(c_0_89,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_12]),c_0_12])]) ).
thf(c_0_90,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_91,negated_conjecture,
( ~ ( epred1_0 @ esk9_0 @ esk10_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk5_0 @ esk5_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk1_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_92,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_84]) ).
thf(c_0_93,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ esk2_0 @ esk4_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_73])]) ).
thf(c_0_94,negated_conjecture,
( ( epred1_0 @ esk10_0 @ esk9_0 )
| ( epred1_0 @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
thf(c_0_95,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_89]) ).
thf(c_0_96,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_12]),c_0_12])]) ).
thf(c_0_97,negated_conjecture,
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_12]),c_0_12])]) ).
thf(c_0_98,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk3_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_73])]) ).
thf(c_0_99,negated_conjecture,
epred1_0 @ esk2_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_88]) ).
thf(c_0_100,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
thf(c_0_101,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
thf(c_0_102,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk4_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk2_0 @ X3 )
| ~ ( epred1_0 @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_99]) ).
thf(c_0_103,negated_conjecture,
epred1_0 @ esk2_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_73])]) ).
thf(c_0_104,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_73])]) ).
thf(c_0_105,negated_conjecture,
! [X15: $i,X16: $i,X3: $i,X14: $i] :
( ( epred1_0 @ X3 @ esk10_0 )
| ( epred1_0 @ X14 @ X15 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 )
| ~ ( epred1_0 @ X16 @ X15 )
| ~ ( epred1_0 @ X16 @ X14 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_89]) ).
thf(c_0_106,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ X3 @ esk4_0 )
| ~ ( epred1_0 @ esk2_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_99]) ).
thf(c_0_107,negated_conjecture,
! [X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X14 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
thf(c_0_108,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk7_0 @ esk6_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_96]),c_0_97]) ).
thf(c_0_109,negated_conjecture,
epred1_0 @ esk4_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_103]),c_0_107]) ).
thf(c_0_110,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_73])]) ).
thf(c_0_111,negated_conjecture,
epred1_0 @ esk3_0 @ esk4_0,
inference(spm,[status(thm)],[c_0_107,c_0_109]) ).
thf(c_0_112,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk10_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_73])]) ).
thf(c_0_113,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ X3 @ X14 )
| ~ ( epred1_0 @ X15 @ X14 )
| ~ ( epred1_0 @ X15 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
thf(c_0_114,negated_conjecture,
epred1_0 @ esk8_0 @ esk10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_111])]) ).
thf(c_0_115,negated_conjecture,
( ( epred1_0 @ esk8_0 @ esk9_0 )
| ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_73])]) ).
thf(c_0_116,negated_conjecture,
( ~ ( epred1_0 @ esk3_0 @ esk4_0 )
| ~ ( epred1_0 @ esk9_0 @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_73])]) ).
thf(c_0_117,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ X3 @ esk10_0 )
| ~ ( epred1_0 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
thf(c_0_118,negated_conjecture,
epred1_0 @ esk8_0 @ esk9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_111])]) ).
thf(c_0_119,negated_conjecture,
~ ( epred1_0 @ esk9_0 @ esk10_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_111])]) ).
thf(c_0_120,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL859^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 10:12:19 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 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.H3A4x9p9qa/E---3.1_2661361.p
% 0.20/0.29 % Version: 3.5.1-ho
% 0.20/0.29 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.29 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.29 % Starting almost_fo_3_lam with 300s (1) cores
% 0.20/0.29 % Starting post_as_ho1 with 300s (1) cores
% 0.20/0.29 % ehoh_best2_full_lfho with pid 2661375 completed with status 0
% 0.20/0.29 % Result found by ehoh_best2_full_lfho
% 0.20/0.29 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.29 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.29 % No SInE strategy applied
% 0.20/0.29 % Search class: HGHNF-FFMF00-SHSSMFNN
% 0.20/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.29 % SubtermCWHack with pid 2661379 completed with status 0
% 0.20/0.29 % Result found by SubtermCWHack
% 0.20/0.29 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.20/0.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.29 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.29 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.20/0.29 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.29 % No SInE strategy applied
% 0.20/0.29 % Search class: HGHNF-FFMF00-SHSSMFNN
% 0.20/0.29 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.29 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.29 % Preprocessing time : 0.001 s
% 0.20/0.29
% 0.20/0.29 % Proof found!
% 0.20/0.29 % SZS status Theorem
% 0.20/0.29 % SZS output start CNFRefutation
% See solution above
% 0.20/0.29 % Parsed axioms : 64
% 0.20/0.29 % Removed by relevancy pruning/SinE : 0
% 0.20/0.29 % Initial clauses : 56
% 0.20/0.29 % Removed in clause preprocessing : 32
% 0.20/0.29 % Initial clauses in saturation : 24
% 0.20/0.29 % Processed clauses : 472
% 0.20/0.29 % ...of these trivial : 6
% 0.20/0.29 % ...subsumed : 280
% 0.20/0.29 % ...remaining for further processing : 186
% 0.20/0.29 % Other redundant clauses eliminated : 0
% 0.20/0.29 % Clauses deleted for lack of memory : 0
% 0.20/0.29 % Backward-subsumed : 96
% 0.20/0.29 % Backward-rewritten : 71
% 0.20/0.29 % Generated clauses : 1258
% 0.20/0.29 % ...of the previous two non-redundant : 987
% 0.20/0.29 % ...aggressively subsumed : 0
% 0.20/0.29 % Contextual simplify-reflections : 23
% 0.20/0.29 % Paramodulations : 1256
% 0.20/0.29 % Factorizations : 2
% 0.20/0.29 % NegExts : 0
% 0.20/0.29 % Equation resolutions : 0
% 0.20/0.29 % Disequality decompositions : 0
% 0.20/0.29 % Total rewrite steps : 401
% 0.20/0.29 % ...of those cached : 375
% 0.20/0.29 % Propositional unsat checks : 0
% 0.20/0.29 % Propositional check models : 0
% 0.20/0.29 % Propositional check unsatisfiable : 0
% 0.20/0.29 % Propositional clauses : 0
% 0.20/0.29 % Propositional clauses after purity: 0
% 0.20/0.29 % Propositional unsat core size : 0
% 0.20/0.29 % Propositional preprocessing time : 0.000
% 0.20/0.29 % Propositional encoding time : 0.000
% 0.20/0.29 % Propositional solver time : 0.000
% 0.20/0.29 % Success case prop preproc time : 0.000
% 0.20/0.29 % Success case prop encoding time : 0.000
% 0.20/0.29 % Success case prop solver time : 0.000
% 0.20/0.29 % Current number of processed clauses : 19
% 0.20/0.29 % Positive orientable unit clauses : 13
% 0.20/0.29 % Positive unorientable unit clauses: 0
% 0.20/0.29 % Negative unit clauses : 1
% 0.20/0.29 % Non-unit-clauses : 5
% 0.20/0.29 % Current number of unprocessed clauses: 22
% 0.20/0.29 % ...number of literals in the above : 75
% 0.20/0.29 % Current number of archived formulas : 0
% 0.20/0.29 % Current number of archived clauses : 167
% 0.20/0.29 % Clause-clause subsumption calls (NU) : 4529
% 0.20/0.29 % Rec. Clause-clause subsumption calls : 2135
% 0.20/0.29 % Non-unit clause-clause subsumptions : 398
% 0.20/0.29 % Unit Clause-clause subsumption calls : 8
% 0.20/0.29 % Rewrite failures with RHS unbound : 0
% 0.20/0.29 % BW rewrite match attempts : 8
% 0.20/0.29 % BW rewrite match successes : 8
% 0.20/0.29 % Condensation attempts : 0
% 0.20/0.29 % Condensation successes : 0
% 0.20/0.29 % Termbank termtop insertions : 24976
% 0.20/0.29 % Search garbage collected termcells : 749
% 0.20/0.29
% 0.20/0.29 % -------------------------------------------------
% 0.20/0.29 % User time : 0.025 s
% 0.20/0.29 % System time : 0.002 s
% 0.20/0.29 % Total time : 0.028 s
% 0.20/0.29 % Maximum resident set size: 3692 pages
% 0.20/0.29
% 0.20/0.29 % -------------------------------------------------
% 0.20/0.29 % User time : 0.027 s
% 0.20/0.29 % System time : 0.007 s
% 0.20/0.29 % Total time : 0.034 s
% 0.20/0.29 % Maximum resident set size: 4608 pages
% 0.20/0.29 % E exiting
%------------------------------------------------------------------------------