%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : LCL872^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:13:48 AM UTC 2026
% Result : Theorem 1.33s 0.49s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
thf(decl_25,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_26,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_28,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_33,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(decl_38,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_39,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_54,type,
i: $i > $i > $o ).
thf(decl_55,type,
j: $i > $i > $o ).
thf(decl_56,type,
k: $i > $i > $o ).
thf(decl_57,type,
l: $i > $i > $o ).
thf(decl_58,type,
confluence: ( $i > $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_59,type,
esk1_0: $i ).
thf(decl_60,type,
epred1_0: $i > $o ).
thf(decl_61,type,
esk2_0: $i ).
thf(decl_62,type,
esk3_0: $i ).
thf(decl_63,type,
esk4_0: $i ).
thf(decl_64,type,
esk5_0: $i ).
thf(decl_65,type,
esk6_0: $i ).
thf(decl_66,type,
esk7_3: $i > ( $i > $o ) > $i > $i ).
thf(decl_67,type,
esk8_3: $i > ( $i > $o ) > $i > $i ).
thf(decl_68,type,
esk9_3: $i > $i > $i > $i ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mimplies) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mor) ).
thf(mdia,axiom,
( mdia
= ( ^ [X13: $i > $i > $o,X6: $i > $o] : ( mnot @ ( mbox @ X13 @ ( mnot @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mdia) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mbox) ).
thf(conj,conjecture,
( ( mvalid
@ ( mforall_prop
@ ^ [X10: $i > $o] : ( mimplies @ ( mdia @ i @ ( mbox @ j @ X10 ) ) @ ( mbox @ k @ ( mdia @ l @ X10 ) ) ) ) )
<=> ( confluence @ i @ j @ k @ l ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',conj) ).
thf(mforall_prop,axiom,
( mforall_prop
= ( ^ [X9: ( $i > $o ) > $i > $o,X3: $i] :
! [X10: $i > $o] : ( X9 @ X10 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mforall_prop) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',mvalid) ).
thf(confluence,axiom,
( confluence
= ( ^ [X18: $i > $i > $o,X19: $i > $i > $o,X20: $i > $i > $o,X21: $i > $i > $o] :
! [X22: $i,X23: $i,X24: $i] :
( ( ( X18 @ X22 @ X23 )
& ( X20 @ X22 @ X24 ) )
=> ? [X25: $i] :
( ( X19 @ X23 @ X25 )
& ( X21 @ X24 @ X25 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p',confluence) ).
thf(c_0_9,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_10,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_11,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_12,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X28: $i] :
( ~ ( Z0 @ Z2 @ X28 )
| ~ ( Z1 @ X28 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia]) ).
thf(c_0_13,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X14: $i] :
( ~ ( Z0 @ Z2 @ X14 )
| ( Z1 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_14,negated_conjecture,
~ ( ( mvalid
@ ( mforall_prop
@ ^ [X10: $i > $o] : ( mimplies @ ( mdia @ i @ ( mbox @ j @ X10 ) ) @ ( mbox @ k @ ( mdia @ l @ X10 ) ) ) ) )
<=> ( confluence @ i @ j @ k @ l ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(c_0_15,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_16,plain,
( mforall_prop
= ( ^ [Z0: ( $i > $o ) > $i > $o,Z1: $i] :
! [X10: $i > $o] : ( Z0 @ X10 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_prop]) ).
thf(c_0_17,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X28: $i] :
( ~ ( Z0 @ Z2 @ X28 )
| ~ ( Z1 @ X28 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12,c_0_10]),c_0_13]) ).
thf(c_0_18,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_19,plain,
( confluence
= ( ^ [Z0: $i > $i > $o,Z1: $i > $i > $o,Z2: $i > $i > $o,Z3: $i > $i > $o] :
! [X22: $i,X23: $i,X24: $i] :
( ( ( Z0 @ X22 @ X23 )
& ( Z2 @ X22 @ X24 ) )
=> ? [X25: $i] :
( ( Z1 @ X23 @ X25 )
& ( Z3 @ X24 @ X25 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[confluence]) ).
thf(c_0_20,negated_conjecture,
~ ( ! [X34: $i,X33: $i > $o] :
( ~ ~ ! [X30: $i] :
( ~ ( i @ X34 @ X30 )
| ~ ! [X29: $i] :
( ~ ( j @ X30 @ X29 )
| ( X33 @ X29 ) ) )
| ! [X32: $i] :
( ~ ( k @ X34 @ X32 )
| ~ ! [X31: $i] :
( ~ ( l @ X32 @ X31 )
| ~ ( X33 @ X31 ) ) ) )
<=> ! [X35: $i,X36: $i,X37: $i] :
( ( ( i @ X35 @ X36 )
& ( k @ X35 @ X37 ) )
=> ? [X38: $i] :
( ( j @ X36 @ X38 )
& ( l @ X37 @ X38 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14]),c_0_15]),c_0_16]),c_0_13]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_21,negated_conjecture,
! [X42: $i,X44: $i,X48: $i,X49: $i,X50: $i > $o,X51: $i,X53: $i,X55: $i,X56: $i,X57: $i] :
( ( ( i @ esk4_0 @ esk5_0 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ~ ( j @ esk5_0 @ X48 )
| ~ ( l @ esk6_0 @ X48 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ~ ( j @ esk2_0 @ X42 )
| ( epred1_0 @ X42 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ~ ( j @ esk2_0 @ X42 )
| ( epred1_0 @ X42 ) )
& ( ~ ( j @ esk5_0 @ X48 )
| ~ ( l @ esk6_0 @ X48 )
| ~ ( j @ esk2_0 @ X42 )
| ( epred1_0 @ X42 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ~ ( j @ esk5_0 @ X48 )
| ~ ( l @ esk6_0 @ X48 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ~ ( l @ esk3_0 @ X44 )
| ~ ( epred1_0 @ X44 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ~ ( l @ esk3_0 @ X44 )
| ~ ( epred1_0 @ X44 ) )
& ( ~ ( j @ esk5_0 @ X48 )
| ~ ( l @ esk6_0 @ X48 )
| ~ ( l @ esk3_0 @ X44 )
| ~ ( epred1_0 @ X44 ) )
& ( ( j @ X56 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( l @ X53 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ( j @ X51 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( l @ X57 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( l @ X53 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ( j @ X51 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( j @ X56 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( X50 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ( j @ X51 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( l @ X57 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( X50 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ( j @ X51 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( j @ X56 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( l @ X53 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ~ ( X50 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( l @ X57 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( l @ X53 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ~ ( X50 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( j @ X56 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( X50 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ~ ( X50 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) )
& ( ( l @ X57 @ ( esk9_3 @ X55 @ X56 @ X57 ) )
| ~ ( i @ X55 @ X56 )
| ~ ( k @ X55 @ X57 )
| ( X50 @ ( esk8_3 @ X49 @ X50 @ X53 ) )
| ~ ( k @ X49 @ X53 )
| ~ ( X50 @ ( esk7_3 @ X49 @ X50 @ X51 ) )
| ~ ( i @ X49 @ X51 ) ) ),
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_20])])])])])]) ).
thf(c_0_22,negated_conjecture,
! [X15: $i,X4: $i > $o,X3: $i,X14: $i,X16: $i,X17: $i,X22: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ X16 @ X4 @ X17 ) )
| ( j @ X22 @ ( esk7_3 @ X16 @ X4 @ X22 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 )
| ~ ( k @ X16 @ X17 )
| ~ ( i @ X16 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_23,negated_conjecture,
( ( i @ esk4_0 @ esk5_0 )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_24,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i,X16: $i,X17: $i,X22: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ X16 @ X4 @ X17 ) )
| ( j @ X22 @ ( esk7_3 @ X16 @ X4 @ X22 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 )
| ~ ( k @ X16 @ X17 )
| ~ ( i @ X16 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X4: $i > $o,X16: $i,X17: $i,X22: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ X16 @ X4 @ X17 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 )
| ~ ( k @ X16 @ X17 )
| ~ ( X4 @ ( esk7_3 @ X16 @ X4 @ X22 ) )
| ~ ( i @ X16 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_27,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
thf(c_0_28,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_23]) ).
thf(c_0_29,negated_conjecture,
( ( i @ esk4_0 @ esk5_0 )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_30,negated_conjecture,
! [X15: $i,X4: $i > $o,X3: $i,X14: $i,X16: $i,X17: $i,X22: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( l @ X16 @ ( esk8_3 @ X17 @ X4 @ X16 ) )
| ( j @ X22 @ ( esk7_3 @ X17 @ X4 @ X22 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 )
| ~ ( k @ X17 @ X16 )
| ~ ( i @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_31,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
thf(c_0_32,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_23]) ).
thf(c_0_33,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
thf(c_0_34,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_23]) ).
thf(c_0_35,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_23]) ).
thf(c_0_36,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X4: $i > $o,X16: $i,X17: $i,X22: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ X16 @ X4 @ X17 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 )
| ~ ( k @ X16 @ X17 )
| ~ ( X4 @ ( esk7_3 @ X16 @ X4 @ X22 ) )
| ~ ( i @ X16 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_37,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
thf(c_0_38,negated_conjecture,
! [X3: $i] :
( ( i @ esk4_0 @ esk5_0 )
| ( epred1_0 @ X3 )
| ~ ( j @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_39,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_33,c_0_29]) ).
thf(c_0_40,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X4: $i > $o,X16: $i,X17: $i,X22: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( l @ X16 @ ( esk8_3 @ X17 @ X4 @ X16 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 )
| ~ ( k @ X17 @ X16 )
| ~ ( X4 @ ( esk7_3 @ X17 @ X4 @ X22 ) )
| ~ ( i @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_41,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_34,c_0_23]) ).
thf(c_0_42,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_29]) ).
thf(c_0_43,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i,X16: $i,X17: $i,X22: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( l @ X16 @ ( esk8_3 @ X17 @ X4 @ X16 ) )
| ( j @ X22 @ ( esk7_3 @ X17 @ X4 @ X22 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 )
| ~ ( k @ X17 @ X16 )
| ~ ( i @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_44,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_23]) ).
thf(c_0_45,negated_conjecture,
! [X3: $i] :
( ( i @ esk4_0 @ esk5_0 )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_46,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
thf(c_0_47,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_48,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_23]) ).
thf(c_0_49,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
thf(c_0_50,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_42,c_0_29]) ).
thf(c_0_51,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
thf(c_0_52,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
thf(c_0_53,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
thf(c_0_54,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_23]) ).
thf(c_0_55,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
thf(c_0_56,negated_conjecture,
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_39]) ).
thf(c_0_57,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_23]) ).
thf(c_0_58,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_29]) ).
thf(c_0_59,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_53]) ).
thf(c_0_60,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_29]) ).
thf(c_0_61,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_45,c_0_55]) ).
thf(c_0_62,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
thf(c_0_63,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_29]) ).
thf(c_0_64,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_58,c_0_29]) ).
thf(c_0_65,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_59]) ).
thf(c_0_66,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_60,c_0_29]) ).
thf(c_0_67,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
thf(c_0_68,negated_conjecture,
! [X15: $i,X14: $i,X3: $i,X4: $i > $o,X16: $i,X17: $i,X22: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( l @ X16 @ ( esk8_3 @ X17 @ X4 @ X16 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 )
| ~ ( k @ X17 @ X16 )
| ~ ( X4 @ ( esk7_3 @ X17 @ X4 @ X22 ) )
| ~ ( i @ X17 @ X22 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_69,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_63,c_0_29]) ).
thf(c_0_70,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
thf(c_0_71,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_65]) ).
thf(c_0_72,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
thf(c_0_73,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_23]) ).
thf(c_0_74,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_45,c_0_69]) ).
thf(c_0_75,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_71]) ).
thf(c_0_76,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_72]),c_0_62]) ).
thf(c_0_77,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_23]) ).
thf(c_0_78,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
thf(c_0_79,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_76]) ).
thf(c_0_80,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_77,c_0_29]) ).
thf(c_0_81,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_78]),c_0_79]) ).
thf(c_0_82,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_80,c_0_29]) ).
thf(c_0_83,negated_conjecture,
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_81]) ).
thf(c_0_84,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
thf(c_0_85,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_84]),c_0_79]) ).
thf(c_0_86,negated_conjecture,
i @ esk4_0 @ esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_85]),c_0_75]) ).
thf(c_0_87,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X16 ) )
| ~ ( k @ esk4_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_86]) ).
thf(c_0_88,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
thf(c_0_89,negated_conjecture,
( ( k @ esk4_0 @ esk6_0 )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_90,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_86]) ).
thf(c_0_91,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X16 ) )
| ~ ( k @ esk4_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_86]) ).
thf(c_0_92,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
thf(c_0_93,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_86]) ).
thf(c_0_94,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_91,c_0_86]) ).
thf(c_0_95,negated_conjecture,
! [X3: $i] :
( ( i @ esk1_0 @ esk2_0 )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_96,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_92,c_0_89]) ).
thf(c_0_97,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_89]) ).
thf(c_0_98,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_89]) ).
thf(c_0_99,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
thf(c_0_100,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_86]) ).
thf(c_0_101,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_86]) ).
thf(c_0_102,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_97,c_0_89]) ).
thf(c_0_103,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_89]),c_0_99]) ).
thf(c_0_104,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_86]) ).
thf(c_0_105,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_86]) ).
thf(c_0_106,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_86]) ).
thf(c_0_107,negated_conjecture,
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
thf(c_0_108,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_89]) ).
thf(c_0_109,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_86]) ).
thf(c_0_110,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_89]) ).
thf(c_0_111,negated_conjecture,
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_107]) ).
thf(c_0_112,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_89]) ).
thf(c_0_113,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_109,c_0_89]) ).
thf(c_0_114,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_86]) ).
thf(c_0_115,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_110,c_0_89]) ).
thf(c_0_116,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
thf(c_0_117,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_86]) ).
thf(c_0_118,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_113,c_0_89]) ).
thf(c_0_119,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_114,c_0_86]) ).
thf(c_0_120,negated_conjecture,
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_111]) ).
thf(c_0_121,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_117,c_0_86]) ).
thf(c_0_122,negated_conjecture,
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_118,c_0_103]) ).
thf(c_0_123,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_89]) ).
thf(c_0_124,negated_conjecture,
( ( i @ esk1_0 @ esk2_0 )
| ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_120]) ).
thf(c_0_125,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_89]) ).
thf(c_0_126,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_95,c_0_122]) ).
thf(c_0_127,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_89]),c_0_124]) ).
thf(c_0_128,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_125,c_0_89]) ).
thf(c_0_129,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_124]) ).
thf(c_0_130,negated_conjecture,
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_124]) ).
thf(c_0_131,negated_conjecture,
i @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_130]),c_0_124]) ).
thf(c_0_132,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_131]) ).
thf(c_0_133,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_131]) ).
thf(c_0_134,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_131]) ).
thf(c_0_135,negated_conjecture,
( ( k @ esk4_0 @ esk6_0 )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_136,negated_conjecture,
! [X16: $i,X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_131]) ).
thf(c_0_137,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_131]) ).
thf(c_0_138,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
thf(c_0_139,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_131]) ).
thf(c_0_140,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_131]) ).
thf(c_0_141,negated_conjecture,
! [X15: $i,X14: $i,X16: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X16 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_131]) ).
thf(c_0_142,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_135]) ).
thf(c_0_143,negated_conjecture,
! [X3: $i] :
( ( k @ esk4_0 @ esk6_0 )
| ( epred1_0 @ X3 )
| ~ ( j @ esk2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_144,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_138,c_0_135]) ).
thf(c_0_145,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_131]) ).
thf(c_0_146,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_140,c_0_135]) ).
thf(c_0_147,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_131]) ).
thf(c_0_148,negated_conjecture,
! [X3: $i] :
( ( k @ esk4_0 @ esk6_0 )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_149,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_142,c_0_135]) ).
thf(c_0_150,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
thf(c_0_151,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_131]) ).
thf(c_0_152,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_135]) ).
thf(c_0_153,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_146,c_0_135]) ).
thf(c_0_154,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_131]) ).
thf(c_0_155,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_135]) ).
thf(c_0_156,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150]) ).
thf(c_0_157,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_131]) ).
thf(c_0_158,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_152,c_0_135]) ).
thf(c_0_159,negated_conjecture,
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_144]) ).
thf(c_0_160,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_154,c_0_131]) ).
thf(c_0_161,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_155,c_0_135]) ).
thf(c_0_162,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_156]) ).
thf(c_0_163,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_157,c_0_135]) ).
thf(c_0_164,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_148,c_0_158]) ).
thf(c_0_165,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_159]) ).
thf(c_0_166,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_160,c_0_135]) ).
thf(c_0_167,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
thf(c_0_168,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_163,c_0_135]) ).
thf(c_0_169,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
thf(c_0_170,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_166,c_0_135]) ).
thf(c_0_171,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_153,c_0_162]) ).
thf(c_0_172,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_148,c_0_167]) ).
thf(c_0_173,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
thf(c_0_174,negated_conjecture,
! [X15: $i,X3: $i,X4: $i > $o,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ X4 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_131]) ).
thf(c_0_175,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_148,c_0_170]) ).
thf(c_0_176,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_171]),c_0_172]) ).
thf(c_0_177,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_173]),c_0_165]) ).
thf(c_0_178,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_174,c_0_131]) ).
thf(c_0_179,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
thf(c_0_180,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_177]) ).
thf(c_0_181,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_135]) ).
thf(c_0_182,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_179]),c_0_180]) ).
thf(c_0_183,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_181,c_0_135]) ).
thf(c_0_184,negated_conjecture,
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_143,c_0_182]) ).
thf(c_0_185,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
thf(c_0_186,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_185]),c_0_180]) ).
thf(c_0_187,negated_conjecture,
k @ esk4_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_186]),c_0_176]) ).
thf(c_0_188,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_187]) ).
thf(c_0_189,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_187]) ).
thf(c_0_190,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_188,c_0_187]) ).
thf(c_0_191,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_189,c_0_187]) ).
thf(c_0_192,negated_conjecture,
! [X3: $i] :
( ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_193,negated_conjecture,
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
thf(c_0_194,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_187]) ).
thf(c_0_195,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_187]) ).
thf(c_0_196,negated_conjecture,
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_192,c_0_193]) ).
thf(c_0_197,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_194,c_0_187]) ).
thf(c_0_198,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_109,c_0_187]) ).
thf(c_0_199,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_94,c_0_187]) ).
thf(c_0_200,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_195,c_0_187]) ).
thf(c_0_201,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
thf(c_0_202,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_198,c_0_187]) ).
thf(c_0_203,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_199,c_0_187]) ).
thf(c_0_204,negated_conjecture,
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_196]) ).
thf(c_0_205,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_187]) ).
thf(c_0_206,negated_conjecture,
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_202,c_0_203]) ).
thf(c_0_207,negated_conjecture,
( ( k @ esk1_0 @ esk3_0 )
| ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_192,c_0_204]) ).
thf(c_0_208,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_205,c_0_187]) ).
thf(c_0_209,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_187]) ).
thf(c_0_210,negated_conjecture,
( ( k @ esk1_0 @ esk3_0 )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_206]),c_0_207]) ).
thf(c_0_211,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
thf(c_0_212,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_209,c_0_187]) ).
thf(c_0_213,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_210,c_0_211]) ).
thf(c_0_214,negated_conjecture,
k @ esk1_0 @ esk3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_207]),c_0_210]) ).
thf(c_0_215,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_131]) ).
thf(c_0_216,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_131]) ).
thf(c_0_217,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_140,c_0_214]) ).
thf(c_0_218,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_134,c_0_214]) ).
thf(c_0_219,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_86]) ).
thf(c_0_220,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_132,c_0_86]) ).
thf(c_0_221,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_215,c_0_187]) ).
thf(c_0_222,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_216,c_0_187]) ).
thf(c_0_223,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_217,c_0_214]) ).
thf(c_0_224,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_218,c_0_214]) ).
thf(c_0_225,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_219,c_0_214]) ).
thf(c_0_226,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_220,c_0_214]) ).
thf(c_0_227,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_221,c_0_214]) ).
thf(c_0_228,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_222,c_0_214]) ).
thf(c_0_229,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ X14 )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 )
| ~ ( j @ esk2_0 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_230,negated_conjecture,
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_223,c_0_224]) ).
thf(c_0_231,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_100,c_0_131]) ).
thf(c_0_232,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_225,c_0_187]) ).
thf(c_0_233,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_226,c_0_187]) ).
thf(c_0_234,negated_conjecture,
! [X3: $i,X14: $i] :
( ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 )
| ~ ( l @ esk3_0 @ X14 )
| ~ ( epred1_0 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_235,negated_conjecture,
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
thf(c_0_236,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_214]) ).
thf(c_0_237,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_131]) ).
thf(c_0_238,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_230]) ).
thf(c_0_239,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_231,c_0_187]) ).
thf(c_0_240,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_86]) ).
thf(c_0_241,negated_conjecture,
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_232,c_0_233]) ).
thf(c_0_242,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
thf(c_0_243,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_236,c_0_214]) ).
thf(c_0_244,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_187]) ).
thf(c_0_245,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_238,c_0_235]) ).
thf(c_0_246,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_239,c_0_214]) ).
thf(c_0_247,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_240,c_0_214]) ).
thf(c_0_248,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_241]) ).
thf(c_0_249,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
thf(c_0_250,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_244,c_0_214]) ).
thf(c_0_251,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_245,c_0_246]) ).
thf(c_0_252,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_193]) ).
thf(c_0_253,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_247,c_0_187]) ).
thf(c_0_254,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_248,c_0_193]) ).
thf(c_0_255,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_157,c_0_214]) ).
thf(c_0_256,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_249,c_0_246]) ).
thf(c_0_257,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_245]) ).
thf(c_0_258,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_86]) ).
thf(c_0_259,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_252,c_0_253]) ).
thf(c_0_260,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_254,c_0_197]) ).
thf(c_0_261,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_255,c_0_214]) ).
thf(c_0_262,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_256,c_0_257]) ).
thf(c_0_263,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_258,c_0_214]) ).
thf(c_0_264,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_259,c_0_197]) ).
thf(c_0_265,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_260]),c_0_254]) ).
thf(c_0_266,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_261,c_0_262]) ).
thf(c_0_267,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_263,c_0_187]) ).
thf(c_0_268,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_264,c_0_265]) ).
thf(c_0_269,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_266]),c_0_257]),c_0_246]) ).
thf(c_0_270,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_267,c_0_268]) ).
thf(c_0_271,negated_conjecture,
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_250,c_0_269]) ).
thf(c_0_272,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_270]),c_0_265]),c_0_197]) ).
thf(c_0_273,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_249,c_0_271]) ).
thf(c_0_274,negated_conjecture,
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_200,c_0_272]) ).
thf(c_0_275,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_273,c_0_257]) ).
thf(c_0_276,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_259,c_0_274]) ).
thf(c_0_277,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_261,c_0_275]) ).
thf(c_0_278,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_276,c_0_265]) ).
thf(c_0_279,negated_conjecture,
j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_277]),c_0_257]),c_0_271]) ).
thf(c_0_280,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_267,c_0_278]) ).
thf(c_0_281,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_86]) ).
thf(c_0_282,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_133,c_0_86]) ).
thf(c_0_283,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_279]) ).
thf(c_0_284,negated_conjecture,
j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_280]),c_0_265]),c_0_274]) ).
thf(c_0_285,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_281,c_0_214]) ).
thf(c_0_286,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_282,c_0_214]) ).
thf(c_0_287,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk4_0 @ X4 @ X14 ) )
| ~ ( k @ esk4_0 @ X14 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_114,c_0_131]) ).
thf(c_0_288,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_283,c_0_284]) ).
thf(c_0_289,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_285,c_0_187]) ).
thf(c_0_290,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_286,c_0_187]) ).
thf(c_0_291,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_287,c_0_187]) ).
thf(c_0_292,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_206]),c_0_288]) ).
thf(c_0_293,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_154,c_0_86]) ).
thf(c_0_294,negated_conjecture,
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_289,c_0_290]) ).
thf(c_0_295,negated_conjecture,
! [X3: $i] :
( ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_284]) ).
thf(c_0_296,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_291,c_0_214]) ).
thf(c_0_297,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_208]),c_0_288]) ).
thf(c_0_298,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_293,c_0_214]) ).
thf(c_0_299,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_294]) ).
thf(c_0_300,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_208]) ).
thf(c_0_301,negated_conjecture,
epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_297]),c_0_288]),c_0_292]) ).
thf(c_0_302,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_234,c_0_206]) ).
thf(c_0_303,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_298,c_0_187]) ).
thf(c_0_304,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_299,c_0_206]) ).
thf(c_0_305,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_300,c_0_301])]) ).
thf(c_0_306,negated_conjecture,
! [X14: $i,X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( l @ X14 @ ( esk8_3 @ esk1_0 @ X4 @ X14 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X14 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_174,c_0_86]) ).
thf(c_0_307,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_302,c_0_303]) ).
thf(c_0_308,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_304,c_0_305]) ).
thf(c_0_309,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_306,c_0_214]) ).
thf(c_0_310,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_307,c_0_208]) ).
thf(c_0_311,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_308]),c_0_304]) ).
thf(c_0_312,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_160,c_0_214]) ).
thf(c_0_313,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_309,c_0_187]) ).
thf(c_0_314,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_310,c_0_311]) ).
thf(c_0_315,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_312,c_0_214]) ).
thf(c_0_316,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_313,c_0_314]) ).
thf(c_0_317,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_315]),c_0_303]) ).
thf(c_0_318,negated_conjecture,
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_316]),c_0_311]),c_0_305]) ).
thf(c_0_319,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_317,c_0_301])]) ).
thf(c_0_320,negated_conjecture,
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_212,c_0_318]) ).
thf(c_0_321,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_295,c_0_319]) ).
thf(c_0_322,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_320]),c_0_321]) ).
thf(c_0_323,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk2_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_322,c_0_311]) ).
thf(c_0_324,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_313,c_0_323]) ).
thf(c_0_325,negated_conjecture,
l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_324]),c_0_311]),c_0_320]) ).
thf(c_0_326,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_214]) ).
thf(c_0_327,negated_conjecture,
! [X3: $i] :
( ~ ( l @ esk3_0 @ X3 )
| ~ ( epred1_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_325])]) ).
thf(c_0_328,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_326,c_0_214]) ).
thf(c_0_329,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_328]),c_0_301])]) ).
thf(c_0_330,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_214]) ).
thf(c_0_331,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_329]) ).
thf(c_0_332,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_330,c_0_214]) ).
thf(c_0_333,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_331,c_0_284]),c_0_325])]) ).
thf(c_0_334,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_332,c_0_333]) ).
thf(c_0_335,negated_conjecture,
epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_334]),c_0_301])]) ).
thf(c_0_336,negated_conjecture,
j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ),
inference(spm,[status(thm)],[c_0_322,c_0_335]) ).
thf(c_0_337,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_214]) ).
thf(c_0_338,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_229,c_0_336]) ).
thf(c_0_339,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( X4 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_337,c_0_214]) ).
thf(c_0_340,negated_conjecture,
epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_284]),c_0_325])]) ).
thf(c_0_341,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_339,c_0_340]) ).
thf(c_0_342,negated_conjecture,
l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_341]),c_0_301])]) ).
thf(c_0_343,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_342]),c_0_335])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL872^1 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 10:21:27 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.AUtglfcrp2/E---3.1_403784.p
% 1.33/0.49 % Version: 3.5.1-ho
% 1.33/0.49 % Preprocessing class: HSMSSMSSMLMNHHN.
% 1.33/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.49 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 1.33/0.49 % Starting lpo9_lambda_fix with 300s (1) cores
% 1.33/0.49 % Starting sh5l with 300s (1) cores
% 1.33/0.49 % Starting ho_unfolding_6 with 300s (1) cores
% 1.33/0.49 % ehoh_best2_full_lfho with pid 403797 completed with status 0
% 1.33/0.49 % Result found by ehoh_best2_full_lfho
% 1.33/0.49 % Preprocessing class: HSMSSMSSMLMNHHN.
% 1.33/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.49 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 1.33/0.49 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.33/0.49 % No SInE strategy applied
% 1.33/0.49 % Search class: HGHNF-FFMS33-SHHSMSBN
% 1.33/0.49 % partial match(1): HGHNF-FFSS33-SHHSMSBN
% 1.33/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.33/0.49 % Starting SubtermCWHack with 136s (1) cores
% 1.33/0.49 % Starting ehoh_best2_full_lfho with 151s (1) cores
% 1.33/0.49 % Starting sh5l with 136s (1) cores
% 1.33/0.49 % Starting new_bool_2 with 136s (1) cores
% 1.33/0.49 % Starting new_bool_9 with 136s (1) cores
% 1.33/0.49 % ehoh_best2_full_lfho with pid 403802 completed with status 0
% 1.33/0.49 % Result found by ehoh_best2_full_lfho
% 1.33/0.49 % Preprocessing class: HSMSSMSSMLMNHHN.
% 1.33/0.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.33/0.49 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 1.33/0.49 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.33/0.49 % No SInE strategy applied
% 1.33/0.49 % Search class: HGHNF-FFMS33-SHHSMSBN
% 1.33/0.49 % partial match(1): HGHNF-FFSS33-SHHSMSBN
% 1.33/0.49 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.33/0.49 % Starting SubtermCWHack with 136s (1) cores
% 1.33/0.49 % Starting ehoh_best2_full_lfho with 151s (1) cores
% 1.33/0.49 % Preprocessing time : 0.001 s
% 1.33/0.49
% 1.33/0.49 % Proof found!
% 1.33/0.49 % SZS status Theorem
% 1.33/0.49 % SZS output start CNFRefutation
% See solution above
% 1.33/0.49 % Parsed axioms : 70
% 1.33/0.49 % Removed by relevancy pruning/SinE : 0
% 1.33/0.49 % Initial clauses : 57
% 1.33/0.49 % Removed in clause preprocessing : 37
% 1.33/0.49 % Initial clauses in saturation : 20
% 1.33/0.49 % Processed clauses : 1701
% 1.33/0.49 % ...of these trivial : 21
% 1.33/0.49 % ...subsumed : 646
% 1.33/0.49 % ...remaining for further processing : 1034
% 1.33/0.49 % Other redundant clauses eliminated : 0
% 1.33/0.49 % Clauses deleted for lack of memory : 0
% 1.33/0.49 % Backward-subsumed : 392
% 1.33/0.49 % Backward-rewritten : 332
% 1.33/0.49 % Generated clauses : 4826
% 1.33/0.49 % ...of the previous two non-redundant : 4748
% 1.33/0.49 % ...aggressively subsumed : 0
% 1.33/0.49 % Contextual simplify-reflections : 74
% 1.33/0.49 % Paramodulations : 4434
% 1.33/0.49 % Factorizations : 0
% 1.33/0.49 % NegExts : 0
% 1.33/0.50 % Equation resolutions : 0
% 1.33/0.50 % Disequality decompositions : 0
% 1.33/0.50 % Total rewrite steps : 360
% 1.33/0.50 % ...of those cached : 349
% 1.33/0.50 % Propositional unsat checks : 0
% 1.33/0.50 % Propositional check models : 0
% 1.33/0.50 % Propositional check unsatisfiable : 0
% 1.33/0.50 % Propositional clauses : 0
% 1.33/0.50 % Propositional clauses after purity: 0
% 1.33/0.50 % Propositional unsat core size : 0
% 1.33/0.50 % Propositional preprocessing time : 0.000
% 1.33/0.50 % Propositional encoding time : 0.000
% 1.33/0.50 % Propositional solver time : 0.000
% 1.33/0.50 % Success case prop preproc time : 0.000
% 1.33/0.50 % Success case prop encoding time : 0.000
% 1.33/0.50 % Success case prop solver time : 0.000
% 1.33/0.50 % Current number of processed clauses : 265
% 1.33/0.50 % Positive orientable unit clauses : 12
% 1.33/0.50 % Positive unorientable unit clauses: 0
% 1.33/0.50 % Negative unit clauses : 0
% 1.33/0.50 % Non-unit-clauses : 253
% 1.33/0.50 % Current number of unprocessed clauses: 2199
% 1.33/0.50 % ...number of literals in the above : 15638
% 1.33/0.50 % Current number of archived formulas : 0
% 1.33/0.50 % Current number of archived clauses : 769
% 1.33/0.50 % Clause-clause subsumption calls (NU) : 34055
% 1.33/0.50 % Rec. Clause-clause subsumption calls : 3424
% 1.33/0.50 % Non-unit clause-clause subsumptions : 1109
% 1.33/0.50 % Unit Clause-clause subsumption calls : 863
% 1.33/0.50 % Rewrite failures with RHS unbound : 0
% 1.33/0.50 % BW rewrite match attempts : 15
% 1.33/0.50 % BW rewrite match successes : 11
% 1.33/0.50 % Condensation attempts : 0
% 1.33/0.50 % Condensation successes : 0
% 1.33/0.50 % Termbank termtop insertions : 213141
% 1.33/0.50 % Search garbage collected termcells : 889
% 1.33/0.50
% 1.33/0.50 % -------------------------------------------------
% 1.33/0.50 % User time : 0.213 s
% 1.33/0.50 % System time : 0.009 s
% 1.33/0.50 % Total time : 0.223 s
% 1.33/0.50 % Maximum resident set size: 3960 pages
% 1.33/0.50
% 1.33/0.50 % -------------------------------------------------
% 1.33/0.50 % User time : 0.974 s
% 1.33/0.50 % System time : 0.028 s
% 1.33/0.50 % Total time : 1.002 s
% 1.33/0.50 % Maximum resident set size: 4608 pages
% 1.33/0.50 % E exiting
%------------------------------------------------------------------------------