%------------------------------------------------------------------------------
% File : E---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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:12:39 AM UTC 2026
% Result : Theorem 0.95s 0.40s
% Output : CNFRefutation 0.95s
% 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(mdia,axiom,
( mdia
= ( ^ [X13: $i > $i > $o,X6: $i > $o] : ( mnot @ ( mbox @ X13 @ ( mnot @ X6 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nAK1CEcJx4/E---3.1_2962120.p',mdia) ).
thf(mnot,axiom,
( mnot
= ( ^ [X6: $i > $o,X3: $i] :
~ ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nAK1CEcJx4/E---3.1_2962120.p',mnot) ).
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.nAK1CEcJx4/E---3.1_2962120.p',mbox) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X6: $i > $o,X7: $i > $o] : ( mor @ ( mnot @ X6 ) @ X7 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nAK1CEcJx4/E---3.1_2962120.p',mimplies) ).
thf(mor,axiom,
( mor
= ( ^ [X6: $i > $o,X7: $i > $o,X3: $i] :
( ( X6 @ X3 )
| ( X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nAK1CEcJx4/E---3.1_2962120.p',mor) ).
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.nAK1CEcJx4/E---3.1_2962120.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.nAK1CEcJx4/E---3.1_2962120.p',mforall_prop) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nAK1CEcJx4/E---3.1_2962120.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.nAK1CEcJx4/E---3.1_2962120.p',confluence) ).
thf(c_0_9,plain,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X27: $i] :
( ~ ( Z0 @ Z2 @ X27 )
| ~ ( Z1 @ X27 ) ) ) ),
inference(fof_simplification,[status(thm)],[mdia]) ).
thf(c_0_10,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_11,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_12,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_13,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
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,
( mdia
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
~ ! [X27: $i] :
( ~ ( Z0 @ Z2 @ X27 )
| ~ ( Z1 @ X27 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
thf(c_0_16,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_12,c_0_13]),c_0_10]) ).
thf(c_0_17,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_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,
~ ( ! [X33: $i,X32: $i > $o] :
( ~ ~ ! [X29: $i] :
( ~ ( i @ X33 @ X29 )
| ~ ! [X28: $i] :
( ~ ( j @ X29 @ X28 )
| ( X32 @ X28 ) ) )
| ! [X31: $i] :
( ~ ( k @ X33 @ X31 )
| ~ ! [X30: $i] :
( ~ ( l @ X31 @ X30 )
| ~ ( X32 @ X30 ) ) ) )
<=> ! [X34: $i,X35: $i,X36: $i] :
( ( ( i @ X34 @ X35 )
& ( k @ X34 @ X36 ) )
=> ? [X37: $i] :
( ( j @ X35 @ X37 )
& ( l @ X36 @ X37 ) ) ) ),
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_11]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_21,negated_conjecture,
! [X41: $i,X43: $i,X47: $i,X48: $i,X49: $i > $o,X50: $i,X52: $i,X54: $i,X55: $i,X56: $i] :
( ( ( i @ esk4_0 @ esk5_0 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ~ ( j @ esk5_0 @ X47 )
| ~ ( l @ esk6_0 @ X47 )
| ( i @ esk1_0 @ esk2_0 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ~ ( j @ esk2_0 @ X41 )
| ( epred1_0 @ X41 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ~ ( j @ esk2_0 @ X41 )
| ( epred1_0 @ X41 ) )
& ( ~ ( j @ esk5_0 @ X47 )
| ~ ( l @ esk6_0 @ X47 )
| ~ ( j @ esk2_0 @ X41 )
| ( epred1_0 @ X41 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ~ ( j @ esk5_0 @ X47 )
| ~ ( l @ esk6_0 @ X47 )
| ( k @ esk1_0 @ esk3_0 ) )
& ( ( i @ esk4_0 @ esk5_0 )
| ~ ( l @ esk3_0 @ X43 )
| ~ ( epred1_0 @ X43 ) )
& ( ( k @ esk4_0 @ esk6_0 )
| ~ ( l @ esk3_0 @ X43 )
| ~ ( epred1_0 @ X43 ) )
& ( ~ ( j @ esk5_0 @ X47 )
| ~ ( l @ esk6_0 @ X47 )
| ~ ( l @ esk3_0 @ X43 )
| ~ ( epred1_0 @ X43 ) )
& ( ( j @ X55 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( l @ X52 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ( j @ X50 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( l @ X56 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( l @ X52 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ( j @ X50 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( j @ X55 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( X49 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ( j @ X50 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( l @ X56 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( X49 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ( j @ X50 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( j @ X55 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( l @ X52 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ~ ( X49 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( l @ X56 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( l @ X52 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ~ ( X49 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( j @ X55 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( X49 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ~ ( X49 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) )
& ( ( l @ X56 @ ( esk9_3 @ X54 @ X55 @ X56 ) )
| ~ ( i @ X54 @ X55 )
| ~ ( k @ X54 @ X56 )
| ( X49 @ ( esk8_3 @ X48 @ X49 @ X52 ) )
| ~ ( k @ X48 @ X52 )
| ~ ( X49 @ ( esk7_3 @ X48 @ X49 @ X50 ) )
| ~ ( i @ X48 @ X50 ) ) ),
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,
( ( i @ esk4_0 @ esk5_0 )
| ( k @ esk1_0 @ esk3_0 ) ),
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,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk1_0 @ X3 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
thf(c_0_31,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ X3 @ 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 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_26]) ).
thf(c_0_32,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_33,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_30,c_0_23]) ).
thf(c_0_34,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_31,c_0_23]) ).
thf(c_0_35,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( 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_32,c_0_33]) ).
thf(c_0_36,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_37,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( 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_32,c_0_34]) ).
thf(c_0_38,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( 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_32,c_0_35]) ).
thf(c_0_39,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_40,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_41,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
thf(c_0_42,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_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,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_39,c_0_23]) ).
thf(c_0_45,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_23]) ).
thf(c_0_46,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_41]),c_0_23]) ).
thf(c_0_47,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_48,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
thf(c_0_49,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
thf(c_0_50,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_26]) ).
thf(c_0_51,negated_conjecture,
! [X15: $i,X14: $i,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 @ X14 @ X15 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_26]) ).
thf(c_0_52,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk1_0 @ X3 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_26]) ).
thf(c_0_53,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ ( esk9_3 @ X3 @ X14 @ esk3_0 ) )
| ~ ( k @ X3 @ esk3_0 )
| ~ ( i @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_49]) ).
thf(c_0_54,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk9_3 @ X3 @ esk2_0 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X3 @ esk2_0 )
| ~ ( k @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_50]) ).
thf(c_0_55,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ X3 @ 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 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_26]) ).
thf(c_0_56,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_23]) ).
thf(c_0_57,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ X3 @ esk3_0 )
| ~ ( i @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
thf(c_0_58,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_23]) ).
thf(c_0_59,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_36,c_0_56]) ).
thf(c_0_60,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_57,c_0_26]),c_0_23]) ).
thf(c_0_61,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_36,c_0_58]) ).
thf(c_0_62,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_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_59,c_0_60]) ).
thf(c_0_63,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_61,c_0_60]) ).
thf(c_0_64,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_62]) ).
thf(c_0_65,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_36,c_0_63]),c_0_64]) ).
thf(c_0_66,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_67,negated_conjecture,
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_65]) ).
thf(c_0_68,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_23]) ).
thf(c_0_69,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_70,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_26]) ).
thf(c_0_71,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_23]) ).
thf(c_0_72,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk1_0 @ X3 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_70,c_0_26]) ).
thf(c_0_73,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_71,c_0_26]) ).
thf(c_0_74,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_23]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ X3 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_73,c_0_26]) ).
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_36,c_0_74]),c_0_60]) ).
thf(c_0_77,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ X3 @ esk3_0 ) )
| ~ ( i @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_75]) ).
thf(c_0_78,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( i @ esk4_0 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_32,c_0_76]) ).
thf(c_0_79,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_77,c_0_78]),c_0_23]) ).
thf(c_0_80,negated_conjecture,
i @ esk4_0 @ esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_79]),c_0_60]) ).
thf(c_0_81,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_80]) ).
thf(c_0_82,negated_conjecture,
( ( k @ esk4_0 @ esk6_0 )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_83,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_80]) ).
thf(c_0_84,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
thf(c_0_85,negated_conjecture,
! [X15: $i,X14: $i,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 @ X14 @ X15 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
thf(c_0_86,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_80]) ).
thf(c_0_87,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ X3 @ 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 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_84,c_0_82]) ).
thf(c_0_88,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_39,c_0_80]) ).
thf(c_0_89,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ X3 @ 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 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_85,c_0_82]) ).
thf(c_0_90,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_82]) ).
thf(c_0_91,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_92,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 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_87,c_0_80]) ).
thf(c_0_93,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_82]) ).
thf(c_0_94,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 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_89,c_0_80]) ).
thf(c_0_95,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_90,c_0_82]) ).
thf(c_0_96,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 )
| ~ ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
thf(c_0_97,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_93,c_0_82]) ).
thf(c_0_98,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 )
| ~ ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_91,c_0_94]) ).
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 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_80]),c_0_96]) ).
thf(c_0_100,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 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_80]),c_0_98]) ).
thf(c_0_101,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_99]),c_0_80])]) ).
thf(c_0_102,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_99]),c_0_80])]) ).
thf(c_0_103,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_91,c_0_100]) ).
thf(c_0_104,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_101,c_0_82]) ).
thf(c_0_105,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_102,c_0_82]) ).
thf(c_0_106,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_103]),c_0_80])]),c_0_104]) ).
thf(c_0_107,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_103]),c_0_80])]),c_0_105]) ).
thf(c_0_108,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_106,c_0_82]) ).
thf(c_0_109,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_107,c_0_82]) ).
thf(c_0_110,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_82]) ).
thf(c_0_111,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_104,c_0_82]) ).
thf(c_0_112,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_109,c_0_82]) ).
thf(c_0_113,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ esk4_0 @ X3 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 )
| ~ ( i @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_105,c_0_82]) ).
thf(c_0_114,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 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_80]) ).
thf(c_0_115,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_111,c_0_80]) ).
thf(c_0_116,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 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_112,c_0_80]) ).
thf(c_0_117,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_113,c_0_80]) ).
thf(c_0_118,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( i @ esk1_0 @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_114]),c_0_115]) ).
thf(c_0_119,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_91,c_0_116]),c_0_117]) ).
thf(c_0_120,negated_conjecture,
i @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_118]),c_0_119]) ).
thf(c_0_121,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_120]) ).
thf(c_0_122,negated_conjecture,
( ( k @ esk4_0 @ esk6_0 )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_123,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_120]) ).
thf(c_0_124,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
thf(c_0_125,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_122]) ).
thf(c_0_126,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_124,c_0_120]) ).
thf(c_0_127,negated_conjecture,
! [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 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_125,c_0_120]) ).
thf(c_0_128,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_129,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_126,c_0_122]) ).
thf(c_0_130,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_127,c_0_122]) ).
thf(c_0_131,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_132,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( 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_128,c_0_129]) ).
thf(c_0_133,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( 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_128,c_0_130]) ).
thf(c_0_134,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 )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
thf(c_0_135,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_133]),c_0_134]) ).
thf(c_0_136,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_39,c_0_120]) ).
thf(c_0_137,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_135]),c_0_120])]) ).
thf(c_0_138,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_135]),c_0_120])]) ).
thf(c_0_139,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_120]) ).
thf(c_0_140,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_122]) ).
thf(c_0_141,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_137,c_0_122]) ).
thf(c_0_142,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_138,c_0_122]) ).
thf(c_0_143,negated_conjecture,
! [X15: $i,X14: $i,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 @ X14 @ X15 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_122]) ).
thf(c_0_144,negated_conjecture,
! [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 @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_140,c_0_120]) ).
thf(c_0_145,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( epred1_0 @ ( esk9_3 @ X3 @ X14 @ esk3_0 ) )
| ~ ( k @ X3 @ esk3_0 )
| ~ ( i @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_131,c_0_141]) ).
thf(c_0_146,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk9_3 @ X3 @ esk2_0 @ X14 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X3 @ esk2_0 )
| ~ ( k @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_142]) ).
thf(c_0_147,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_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_143,c_0_120]) ).
thf(c_0_148,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_144,c_0_122]) ).
thf(c_0_149,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ X3 @ esk3_0 )
| ~ ( i @ X3 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
thf(c_0_150,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_147,c_0_122]) ).
thf(c_0_151,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_131,c_0_148]) ).
thf(c_0_152,negated_conjecture,
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_122]),c_0_120])]) ).
thf(c_0_153,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_131,c_0_150]) ).
thf(c_0_154,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_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_151,c_0_152]) ).
thf(c_0_155,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_153,c_0_152]) ).
thf(c_0_156,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_154]) ).
thf(c_0_157,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_131,c_0_155]),c_0_156]) ).
thf(c_0_158,negated_conjecture,
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_157]) ).
thf(c_0_159,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_158]),c_0_120])]) ).
thf(c_0_160,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_159,c_0_122]) ).
thf(c_0_161,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_158]),c_0_120])]) ).
thf(c_0_162,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_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_160,c_0_120]) ).
thf(c_0_163,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( k @ esk4_0 @ esk6_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_161,c_0_122]) ).
thf(c_0_164,negated_conjecture,
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_122]) ).
thf(c_0_165,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_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_163,c_0_120]) ).
thf(c_0_166,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_131,c_0_164]),c_0_152]) ).
thf(c_0_167,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_165,c_0_122]) ).
thf(c_0_168,negated_conjecture,
( ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( k @ esk4_0 @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_128,c_0_166]) ).
thf(c_0_169,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_131,c_0_167]),c_0_168]) ).
thf(c_0_170,negated_conjecture,
k @ esk4_0 @ esk6_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_169]),c_0_152]) ).
thf(c_0_171,negated_conjecture,
! [X15: $i,X14: $i,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 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_170]) ).
thf(c_0_172,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_81,c_0_170]) ).
thf(c_0_173,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_171,c_0_80]) ).
thf(c_0_174,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_172,c_0_80]) ).
thf(c_0_175,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_86,c_0_170]) ).
thf(c_0_176,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_88,c_0_170]) ).
thf(c_0_177,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_178,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 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_173,c_0_170]) ).
thf(c_0_179,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_174,c_0_170]) ).
thf(c_0_180,negated_conjecture,
! [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 @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_80]) ).
thf(c_0_181,negated_conjecture,
! [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 @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_80]) ).
thf(c_0_182,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 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_177,c_0_178]) ).
thf(c_0_183,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_177,c_0_179]) ).
thf(c_0_184,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_180,c_0_170]) ).
thf(c_0_185,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 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_181,c_0_170]) ).
thf(c_0_186,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_177,c_0_182]) ).
thf(c_0_187,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X5 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( X5 @ ( esk8_3 @ esk4_0 @ X5 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_183,c_0_184]) ).
thf(c_0_188,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_185]),c_0_186]) ).
thf(c_0_189,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(ef,[status(thm)],[c_0_187]) ).
thf(c_0_190,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_188]),c_0_80])]) ).
thf(c_0_191,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_188]),c_0_80])]) ).
thf(c_0_192,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_189]),c_0_80])]),c_0_190]) ).
thf(c_0_193,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_189]),c_0_80])]),c_0_191]) ).
thf(c_0_194,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_188]),c_0_80])]) ).
thf(c_0_195,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_192,c_0_170]) ).
thf(c_0_196,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_188]),c_0_80])]) ).
thf(c_0_197,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_170]) ).
thf(c_0_198,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_189]),c_0_80])]),c_0_194]) ).
thf(c_0_199,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_80]) ).
thf(c_0_200,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_189]),c_0_80])]),c_0_196]) ).
thf(c_0_201,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_197,c_0_80]) ).
thf(c_0_202,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_198,c_0_170]) ).
thf(c_0_203,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 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_199,c_0_170]) ).
thf(c_0_204,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_200,c_0_170]) ).
thf(c_0_205,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 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_201,c_0_170]) ).
thf(c_0_206,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_202,c_0_80]) ).
thf(c_0_207,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_177,c_0_203]) ).
thf(c_0_208,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_204,c_0_80]) ).
thf(c_0_209,negated_conjecture,
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_177,c_0_205]) ).
thf(c_0_210,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( k @ esk1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_170]),c_0_207]) ).
thf(c_0_211,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_208,c_0_170]),c_0_209]) ).
thf(c_0_212,negated_conjecture,
k @ esk1_0 @ esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_210]),c_0_211]) ).
thf(c_0_213,negated_conjecture,
! [X15: $i,X14: $i,X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_121,c_0_212]) ).
thf(c_0_214,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_212]) ).
thf(c_0_215,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_213,c_0_120]) ).
thf(c_0_216,negated_conjecture,
! [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 @ esk3_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_214,c_0_120]) ).
thf(c_0_217,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_218,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_215,c_0_212]) ).
thf(c_0_219,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_220,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_216,c_0_212]) ).
thf(c_0_221,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
thf(c_0_222,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_213,c_0_80]) ).
thf(c_0_223,negated_conjecture,
! [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 @ esk3_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_214,c_0_80]) ).
thf(c_0_224,negated_conjecture,
! [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 @ esk6_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_175,c_0_120]) ).
thf(c_0_225,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
thf(c_0_226,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_222,c_0_170]) ).
thf(c_0_227,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_223,c_0_170]) ).
thf(c_0_228,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ X3 @ ( 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_172,c_0_120]) ).
thf(c_0_229,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_224,c_0_212]) ).
thf(c_0_230,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X5 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( X5 @ ( esk8_3 @ esk1_0 @ X5 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]) ).
thf(c_0_231,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 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_228,c_0_212]) ).
thf(c_0_232,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_219,c_0_229]) ).
thf(c_0_233,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(ef,[status(thm)],[c_0_230]) ).
thf(c_0_234,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_231]),c_0_232]) ).
thf(c_0_235,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_233]),c_0_120])]) ).
thf(c_0_236,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X5 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( X5 @ ( esk8_3 @ esk4_0 @ X5 @ esk6_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_179]),c_0_184]) ).
thf(c_0_237,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_235,c_0_212]) ).
thf(c_0_238,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( X4 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(ef,[status(thm)],[c_0_236]) ).
thf(c_0_239,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_120]) ).
thf(c_0_240,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_238]),c_0_80])]) ).
thf(c_0_241,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_239,c_0_212]) ).
thf(c_0_242,negated_conjecture,
! [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 @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_176,c_0_120]) ).
thf(c_0_243,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_240,c_0_170]) ).
thf(c_0_244,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_219,c_0_241]) ).
thf(c_0_245,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 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_242,c_0_212]) ).
thf(c_0_246,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_243,c_0_120]) ).
thf(c_0_247,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_237,c_0_80]) ).
thf(c_0_248,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_244,c_0_245]) ).
thf(c_0_249,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_246,c_0_212]) ).
thf(c_0_250,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_247,c_0_170]) ).
thf(c_0_251,negated_conjecture,
! [X4: $i > $o,X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_136,c_0_212]) ).
thf(c_0_252,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_248,c_0_249]) ).
thf(c_0_253,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_219,c_0_250]) ).
thf(c_0_254,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_243,c_0_80]) ).
thf(c_0_255,negated_conjecture,
! [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 @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_120]) ).
thf(c_0_256,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_252]),c_0_80])]) ).
thf(c_0_257,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_253,c_0_185]) ).
thf(c_0_258,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_254,c_0_170]) ).
thf(c_0_259,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_255,c_0_212]) ).
thf(c_0_260,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_256,c_0_170]) ).
thf(c_0_261,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_257,c_0_258]) ).
thf(c_0_262,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( 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 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_259]) ).
thf(c_0_263,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_260,c_0_120]) ).
thf(c_0_264,negated_conjecture,
! [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 @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_80]) ).
thf(c_0_265,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_261]),c_0_80])]) ).
thf(c_0_266,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X5 @ esk2_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X5 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_262,c_0_245]) ).
thf(c_0_267,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 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_263,c_0_212]) ).
thf(c_0_268,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_264,c_0_170]) ).
thf(c_0_269,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_265,c_0_170]) ).
thf(c_0_270,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_266,c_0_249]) ).
thf(c_0_271,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_244,c_0_267]),c_0_249]) ).
thf(c_0_272,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( 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 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_268]) ).
thf(c_0_273,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_269,c_0_80]) ).
thf(c_0_274,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_270,c_0_271]) ).
thf(c_0_275,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X5 @ esk2_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X5 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_272,c_0_185]) ).
thf(c_0_276,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 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_273,c_0_170]) ).
thf(c_0_277,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_274]),c_0_120])]) ).
thf(c_0_278,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_275,c_0_258]) ).
thf(c_0_279,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_253,c_0_276]),c_0_258]) ).
thf(c_0_280,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_277,c_0_212]) ).
thf(c_0_281,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_278,c_0_279]) ).
thf(c_0_282,negated_conjecture,
! [X3: $i] :
( ( 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 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_120]) ).
thf(c_0_283,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_281]),c_0_120])]) ).
thf(c_0_284,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_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_282,c_0_212]) ).
thf(c_0_285,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_283,c_0_212]) ).
thf(c_0_286,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_284]),c_0_271]) ).
thf(c_0_287,negated_conjecture,
! [X3: $i] :
( ( 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 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_285,c_0_80]) ).
thf(c_0_288,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 @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_286,c_0_245]) ).
thf(c_0_289,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_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_287,c_0_170]) ).
thf(c_0_290,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(spm,[status(thm)],[c_0_288,c_0_249]) ).
thf(c_0_291,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_289]),c_0_279]) ).
thf(c_0_292,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_290]),c_0_80])]) ).
thf(c_0_293,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 @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_291,c_0_185]) ).
thf(c_0_294,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_292,c_0_170]) ).
thf(c_0_295,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(spm,[status(thm)],[c_0_293,c_0_258]) ).
thf(c_0_296,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_294,c_0_120]) ).
thf(c_0_297,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_295]),c_0_80])]) ).
thf(c_0_298,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_296,c_0_212]) ).
thf(c_0_299,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_297,c_0_170]) ).
thf(c_0_300,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_298]),c_0_249]) ).
thf(c_0_301,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_299,c_0_80]) ).
thf(c_0_302,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_233]),c_0_120])]) ).
thf(c_0_303,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_300,c_0_271]) ).
thf(c_0_304,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_301,c_0_170]) ).
thf(c_0_305,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_302,c_0_212]) ).
thf(c_0_306,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_303]),c_0_120])]) ).
thf(c_0_307,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(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_304]),c_0_258]) ).
thf(c_0_308,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_305,c_0_80]) ).
thf(c_0_309,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_179]),c_0_80])]) ).
thf(c_0_310,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_306,c_0_212]) ).
thf(c_0_311,negated_conjecture,
! [X15: $i,X3: $i,X14: $i,X16: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( j @ X14 @ ( esk9_3 @ X15 @ X14 @ X16 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X14 )
| ~ ( k @ X15 @ X16 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_307]),c_0_120])]),c_0_279]) ).
thf(c_0_312,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_308,c_0_170]) ).
thf(c_0_313,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_309,c_0_170]) ).
thf(c_0_314,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_310,c_0_120]) ).
thf(c_0_315,negated_conjecture,
! [X3: $i,X14: $i,X15: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ X3 @ ( esk9_3 @ X14 @ X3 @ X15 ) )
| ~ ( i @ X14 @ X3 )
| ~ ( k @ X14 @ X15 ) ),
inference(spm,[status(thm)],[c_0_311,c_0_212]) ).
thf(c_0_316,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_219,c_0_312]) ).
thf(c_0_317,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_313,c_0_80]) ).
thf(c_0_318,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_314,c_0_212]) ).
thf(c_0_319,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_315,c_0_80]) ).
thf(c_0_320,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_316,c_0_178]) ).
thf(c_0_321,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_317,c_0_170]) ).
thf(c_0_322,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_318]),c_0_271]) ).
thf(c_0_323,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_319,c_0_170]) ).
thf(c_0_324,negated_conjecture,
! [X15: $i,X14: $i,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 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_139,c_0_212]) ).
thf(c_0_325,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_320,c_0_321]) ).
thf(c_0_326,negated_conjecture,
j @ esk2_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_298]),c_0_249]) ).
thf(c_0_327,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_323]),c_0_279]) ).
thf(c_0_328,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_324,c_0_80]) ).
thf(c_0_329,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_325]),c_0_80])]) ).
thf(c_0_330,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_219,c_0_326]) ).
thf(c_0_331,negated_conjecture,
j @ esk5_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_304]),c_0_258]) ).
thf(c_0_332,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_328,c_0_170]) ).
thf(c_0_333,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_329,c_0_170]) ).
thf(c_0_334,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 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_178]),c_0_331])]) ).
thf(c_0_335,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_238]),c_0_80])]) ).
thf(c_0_336,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( 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 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_332]) ).
thf(c_0_337,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_333,c_0_80]) ).
thf(c_0_338,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_330,c_0_334]) ).
thf(c_0_339,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_335,c_0_170]) ).
thf(c_0_340,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X5 @ esk2_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X5 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_336,c_0_178]) ).
thf(c_0_341,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 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_337,c_0_170]) ).
thf(c_0_342,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_338]),c_0_80])]),c_0_339]) ).
thf(c_0_343,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_340,c_0_321]) ).
thf(c_0_344,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_316,c_0_341]),c_0_321]) ).
thf(c_0_345,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_342,c_0_170]) ).
thf(c_0_346,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_343,c_0_344]) ).
thf(c_0_347,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_171,c_0_120]) ).
thf(c_0_348,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_345,c_0_80]) ).
thf(c_0_349,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_346]),c_0_120])]) ).
thf(c_0_350,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) ) ),
inference(spm,[status(thm)],[c_0_347,c_0_212]) ).
thf(c_0_351,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 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_348,c_0_170]) ).
thf(c_0_352,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_349,c_0_212]) ).
thf(c_0_353,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_350]) ).
thf(c_0_354,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_351]),c_0_321]) ).
thf(c_0_355,negated_conjecture,
! [X3: $i] :
( ( 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 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_352,c_0_80]) ).
thf(c_0_356,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X5 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X5 @ esk5_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_178]),c_0_185]) ).
thf(c_0_357,negated_conjecture,
epred1_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_354]),c_0_331])]) ).
thf(c_0_358,negated_conjecture,
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ ( j @ esk2_0 ) @ esk3_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_355,c_0_170]) ).
thf(c_0_359,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ X5 @ esk6_0 ) )
| ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ X5 @ esk5_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_357])]) ).
thf(c_0_360,negated_conjecture,
! [X3: $i] :
( ( j @ esk5_0 @ ( esk7_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk5_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_358]),c_0_344]) ).
thf(c_0_361,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 ) ) ),
inference(ef,[status(thm)],[c_0_359]) ).
thf(c_0_362,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 @ esk5_0 @ ( esk7_3 @ esk4_0 @ X4 @ esk5_0 ) )
| ~ ( j @ esk5_0 @ ( esk8_3 @ esk4_0 @ X4 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_360,c_0_361]) ).
thf(c_0_363,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(spm,[status(thm)],[c_0_362,c_0_321]) ).
thf(c_0_364,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk4_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_363]),c_0_80])]) ).
thf(c_0_365,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_364,c_0_170]) ).
thf(c_0_366,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk8_3 @ esk4_0 @ ( j @ esk5_0 ) @ esk6_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_365,c_0_80]) ).
thf(c_0_367,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_219,c_0_233]) ).
thf(c_0_368,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_366,c_0_170]) ).
thf(c_0_369,negated_conjecture,
! [X4: $i > $o] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_368]),c_0_321]) ).
thf(c_0_370,negated_conjecture,
! [X4: $i > $o,X5: $i > $o] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( epred1_0 @ ( esk7_3 @ esk1_0 @ X5 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( X5 @ ( esk8_3 @ esk1_0 @ X5 @ esk3_0 ) ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_369]),c_0_331])]) ).
thf(c_0_371,negated_conjecture,
! [X4: $i > $o] :
( ( epred1_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( X4 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(ef,[status(thm)],[c_0_370]) ).
thf(c_0_372,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_371]),c_0_120])]) ).
thf(c_0_373,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_372,c_0_212]) ).
thf(c_0_374,negated_conjecture,
! [X15: $i,X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ~ ( epred1_0 @ ( esk9_3 @ X3 @ X14 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X15 )
| ~ ( l @ esk6_0 @ X15 )
| ~ ( k @ X3 @ esk3_0 )
| ~ ( i @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_373]) ).
thf(c_0_375,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_357]),c_0_212]),c_0_120])]) ).
thf(c_0_376,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_324,c_0_120]) ).
thf(c_0_377,negated_conjecture,
! [X3: $i,X14: $i] :
( ( epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ ( esk9_3 @ X3 @ X14 @ esk6_0 ) )
| ~ ( k @ X3 @ esk6_0 )
| ~ ( i @ X3 @ X14 ) ),
inference(spm,[status(thm)],[c_0_375,c_0_373]) ).
thf(c_0_378,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 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ X4 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_376,c_0_212]) ).
thf(c_0_379,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 ) )
| ~ ( epred1_0 @ ( esk8_3 @ esk1_0 @ X4 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_368]),c_0_321]) ).
thf(c_0_380,negated_conjecture,
epred1_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_331]),c_0_170]),c_0_80])]) ).
thf(c_0_381,negated_conjecture,
! [X4: $i > $o,X3: $i] :
( ( l @ esk3_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 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_378]) ).
thf(c_0_382,negated_conjecture,
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) ) ),
inference(spm,[status(thm)],[c_0_379,c_0_380]) ).
thf(c_0_383,negated_conjecture,
! [X4: $i > $o] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ( l @ esk3_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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_381,c_0_382]),c_0_331])]) ).
thf(c_0_384,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) ) ),
inference(spm,[status(thm)],[c_0_383,c_0_380]) ).
thf(c_0_385,negated_conjecture,
! [X3: $i] :
( ( j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_384]),c_0_357])]) ).
thf(c_0_386,negated_conjecture,
j @ esk2_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_382]),c_0_331])]) ).
thf(c_0_387,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_219,c_0_386]) ).
thf(c_0_388,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( epred1_0 @ ( esk7_3 @ esk1_0 @ epred1_0 @ esk2_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_368]),c_0_321]) ).
thf(c_0_389,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_387,c_0_388]),c_0_331])]) ).
thf(c_0_390,negated_conjecture,
! [X15: $i,X3: $i,X16: $i,X14: $i] :
( ( l @ X3 @ ( esk8_3 @ esk1_0 @ epred1_0 @ X3 ) )
| ( l @ X14 @ ( esk9_3 @ X15 @ X16 @ X14 ) )
| ~ ( k @ esk1_0 @ X3 )
| ~ ( i @ X15 @ X16 )
| ~ ( k @ X15 @ X14 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_389]),c_0_120])]) ).
thf(c_0_391,negated_conjecture,
! [X15: $i,X14: $i,X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ X14 @ X15 @ X3 ) )
| ~ ( i @ X14 @ X15 )
| ~ ( k @ X14 @ X3 ) ),
inference(spm,[status(thm)],[c_0_390,c_0_212]) ).
thf(c_0_392,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk4_0 @ esk5_0 @ X3 ) )
| ~ ( k @ esk4_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_391,c_0_80]) ).
thf(c_0_393,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ( l @ X3 @ ( esk9_3 @ esk1_0 @ esk2_0 @ X3 ) )
| ~ ( k @ esk1_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_391,c_0_120]) ).
thf(c_0_394,negated_conjecture,
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_392,c_0_170]) ).
thf(c_0_395,negated_conjecture,
( ( l @ esk3_0 @ ( esk9_3 @ esk1_0 @ esk2_0 @ esk3_0 ) )
| ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_393,c_0_212]) ).
thf(c_0_396,negated_conjecture,
! [X3: $i] :
( ( l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_394]),c_0_380])]) ).
thf(c_0_397,negated_conjecture,
! [X3: $i] :
( ( l @ esk3_0 @ ( esk8_3 @ esk1_0 @ epred1_0 @ esk3_0 ) )
| ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_395]),c_0_357])]) ).
thf(c_0_398,negated_conjecture,
l @ esk6_0 @ ( esk9_3 @ esk4_0 @ esk5_0 @ esk6_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_396,c_0_368]),c_0_321]) ).
thf(c_0_399,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_397,c_0_398]),c_0_331])]) ).
thf(c_0_400,negated_conjecture,
! [X3: $i] :
( ~ ( j @ esk5_0 @ X3 )
| ~ ( l @ esk6_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_399]),c_0_380])]) ).
thf(c_0_401,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_398]),c_0_331])]),
[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
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 10:19:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.07/0.24 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.nAK1CEcJx4/E---3.1_2962120.p
% 0.95/0.40 % Version: 3.5.1-ho
% 0.95/0.40 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.95/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.40 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.95/0.40 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.95/0.40 % Starting sh5l with 300s (1) cores
% 0.95/0.40 % Starting ho_unfolding_6 with 300s (1) cores
% 0.95/0.40 % sh5l with pid 2962157 completed with status 0
% 0.95/0.40 % Result found by sh5l
% 0.95/0.40 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.95/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.40 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.95/0.40 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.95/0.40 % Starting sh5l with 300s (1) cores
% 0.95/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.95/0.40 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.95/0.40 % Search class: HGHNF-FFMS33-SHHSMSBN
% 0.95/0.40 % partial match(1): HGHNF-FFSS33-SHHSMSBN
% 0.95/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.95/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.95/0.40 % SubtermCWHack with pid 2962162 completed with status 0
% 0.95/0.40 % Result found by SubtermCWHack
% 0.95/0.40 % Preprocessing class: HSMSSMSSMLMNHHN.
% 0.95/0.40 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.95/0.40 % Starting ehoh_best2_full_lfho with 1500s (5) cores
% 0.95/0.40 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.95/0.40 % Starting sh5l with 300s (1) cores
% 0.95/0.40 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.95/0.40 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.95/0.40 % Search class: HGHNF-FFMS33-SHHSMSBN
% 0.95/0.40 % partial match(1): HGHNF-FFSS33-SHHSMSBN
% 0.95/0.40 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.95/0.40 % Starting SubtermCWHack with 31s (1) cores
% 0.95/0.40 % Preprocessing time : 0.001 s
% 0.95/0.40
% 0.95/0.40 % Proof found!
% 0.95/0.40 % SZS status Theorem
% 0.95/0.40 % SZS output start CNFRefutation
% See solution above
% 0.95/0.40 % Parsed axioms : 70
% 0.95/0.40 % Removed by relevancy pruning/SinE : 56
% 0.95/0.40 % Initial clauses : 20
% 0.95/0.40 % Removed in clause preprocessing : 0
% 0.95/0.40 % Initial clauses in saturation : 20
% 0.95/0.40 % Processed clauses : 1165
% 0.95/0.40 % ...of these trivial : 0
% 0.95/0.40 % ...subsumed : 363
% 0.95/0.40 % ...remaining for further processing : 802
% 0.95/0.40 % Other redundant clauses eliminated : 0
% 0.95/0.40 % Clauses deleted for lack of memory : 0
% 0.95/0.40 % Backward-subsumed : 495
% 0.95/0.40 % Backward-rewritten : 224
% 0.95/0.40 % Generated clauses : 4878
% 0.95/0.40 % ...of the previous two non-redundant : 4799
% 0.95/0.40 % ...aggressively subsumed : 0
% 0.95/0.40 % Contextual simplify-reflections : 89
% 0.95/0.40 % Paramodulations : 4860
% 0.95/0.40 % Factorizations : 18
% 0.95/0.40 % NegExts : 0
% 0.95/0.40 % Equation resolutions : 0
% 0.95/0.40 % Disequality decompositions : 0
% 0.95/0.40 % Total rewrite steps : 575
% 0.95/0.40 % ...of those cached : 563
% 0.95/0.40 % Propositional unsat checks : 0
% 0.95/0.40 % Propositional check models : 0
% 0.95/0.40 % Propositional check unsatisfiable : 0
% 0.95/0.40 % Propositional clauses : 0
% 0.95/0.40 % Propositional clauses after purity: 0
% 0.95/0.40 % Propositional unsat core size : 0
% 0.95/0.40 % Propositional preprocessing time : 0.000
% 0.95/0.40 % Propositional encoding time : 0.000
% 0.95/0.40 % Propositional solver time : 0.000
% 0.95/0.40 % Success case prop preproc time : 0.000
% 0.95/0.40 % Success case prop encoding time : 0.000
% 0.95/0.40 % Success case prop solver time : 0.000
% 0.95/0.40 % Current number of processed clauses : 83
% 0.95/0.40 % Positive orientable unit clauses : 12
% 0.95/0.40 % Positive unorientable unit clauses: 0
% 0.95/0.40 % Negative unit clauses : 0
% 0.95/0.40 % Non-unit-clauses : 71
% 0.95/0.40 % Current number of unprocessed clauses: 2088
% 0.95/0.40 % ...number of literals in the above : 14161
% 0.95/0.40 % Current number of archived formulas : 0
% 0.95/0.40 % Current number of archived clauses : 719
% 0.95/0.40 % Clause-clause subsumption calls (NU) : 21690
% 0.95/0.40 % Rec. Clause-clause subsumption calls : 1897
% 0.95/0.40 % Non-unit clause-clause subsumptions : 945
% 0.95/0.40 % Unit Clause-clause subsumption calls : 531
% 0.95/0.40 % Rewrite failures with RHS unbound : 0
% 0.95/0.40 % BW rewrite match attempts : 16
% 0.95/0.40 % BW rewrite match successes : 12
% 0.95/0.40 % Condensation attempts : 0
% 0.95/0.40 % Condensation successes : 0
% 0.95/0.40 % Termbank termtop insertions : 180833
% 0.95/0.40 % Search garbage collected termcells : 982
% 0.95/0.40
% 0.95/0.40 % -------------------------------------------------
% 0.95/0.40 % User time : 0.134 s
% 0.95/0.40 % System time : 0.006 s
% 0.95/0.40 % Total time : 0.140 s
% 0.95/0.40 % Maximum resident set size: 3704 pages
% 0.95/0.40
% 0.95/0.40 % -------------------------------------------------
% 0.95/0.40 % User time : 0.137 s
% 0.95/0.40 % System time : 0.010 s
% 0.95/0.40 % Total time : 0.147 s
% 0.95/0.40 % Maximum resident set size: 4864 pages
% 0.95/0.40 % E exiting
%------------------------------------------------------------------------------