%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN045^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:41:11 AM UTC 2026
% Result : Theorem 19.54s 2.82s
% Output : CNFRefutation 19.54s
% 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_31,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_32,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_41,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(decl_44,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(decl_51,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_55,type,
rel_s4: $i > $i > $o ).
thf(decl_56,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(decl_58,type,
r: $i > $o ).
thf(decl_59,type,
q: $i > $o ).
thf(decl_60,type,
p: $i > $o ).
thf(decl_62,type,
esk2_0: $i ).
thf(decl_63,type,
esk3_0: $i ).
thf(decl_64,type,
esk4_0: $i ).
thf(decl_65,type,
esk5_0: $i ).
thf(decl_66,type,
esk6_0: $i ).
thf(decl_67,type,
esk7_0: $i ).
thf(decl_68,type,
esk8_0: $i ).
thf(decl_69,type,
esk9_0: $i ).
thf(decl_70,type,
esk10_0: $i ).
thf(decl_71,type,
esk11_0: $i ).
thf(mand,axiom,
( mand
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mand) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X3: $i] :
~ ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mor) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mimplies) ).
thf(pel13,conjecture,
mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',pel13) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X4: $i > $o] :
! [X3: $i] : ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mvalid) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X4: $i > $o,X3: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ X3 @ X7 )
| ( X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mbox_s4) ).
thf(mtransitive,axiom,
( mtransitive
= ( ^ [X6: $i > $i > $o] :
! [X16: $i,X17: $i,X18: $i] :
( ( ( X6 @ X16 @ X17 )
& ( X6 @ X17 @ X18 ) )
=> ( X6 @ X16 @ X18 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mtransitive) ).
thf(a2,axiom,
mtransitive @ rel_s4,
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',a2) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X6: $i > $i > $o] :
! [X16: $i] : ( X6 @ X16 @ X16 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',mreflexive) ).
thf(a1,axiom,
mreflexive @ rel_s4,
file('/export/starexec/sandbox2/tmp/tmp.rfyvUSXloJ/E---3.1_280641.p',a1) ).
thf(c_0_11,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_12,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
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,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_15,negated_conjecture,
~ ( mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[pel13]) ).
thf(c_0_16,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
thf(c_0_17,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_14,c_0_12]),c_0_13]) ).
thf(c_0_18,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_19,plain,
( mbox_s4
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ Z1 @ X7 )
| ( Z0 @ X7 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s4]) ).
thf(c_0_20,negated_conjecture,
~ ! [X49: $i] :
~ ( ~ ! [X40: $i] :
( ~ ( rel_s4 @ X49 @ X40 )
| ~ ( ! [X33: $i] :
( ~ ( rel_s4 @ X40 @ X33 )
| ( p @ X33 ) )
| ~ ( ~ ! [X34: $i] :
( ~ ( rel_s4 @ X40 @ X34 )
| ( q @ X34 ) )
| ~ ! [X35: $i] :
( ~ ( rel_s4 @ X40 @ X35 )
| ( r @ X35 ) ) ) )
| ~ ( ~ ( ! [X36: $i] :
( ~ ( rel_s4 @ X40 @ X36 )
| ( p @ X36 ) )
| ! [X37: $i] :
( ~ ( rel_s4 @ X40 @ X37 )
| ( q @ X37 ) ) )
| ~ ( ! [X38: $i] :
( ~ ( rel_s4 @ X40 @ X38 )
| ( p @ X38 ) )
| ! [X39: $i] :
( ~ ( rel_s4 @ X40 @ X39 )
| ( r @ X39 ) ) ) ) )
| ~ ! [X48: $i] :
( ~ ( rel_s4 @ X49 @ X48 )
| ~ ~ ( ~ ( ! [X41: $i] :
( ~ ( rel_s4 @ X48 @ X41 )
| ( p @ X41 ) )
| ! [X42: $i] :
( ~ ( rel_s4 @ X48 @ X42 )
| ( q @ X42 ) ) )
| ~ ( ! [X43: $i] :
( ~ ( rel_s4 @ X48 @ X43 )
| ( p @ X43 ) )
| ! [X44: $i] :
( ~ ( rel_s4 @ X48 @ X44 )
| ( r @ X44 ) ) ) )
| ! [X45: $i] :
( ~ ( rel_s4 @ X48 @ X45 )
| ( p @ X45 ) )
| ~ ( ~ ! [X46: $i] :
( ~ ( rel_s4 @ X48 @ X46 )
| ( q @ X46 ) )
| ~ ! [X47: $i] :
( ~ ( rel_s4 @ X48 @ X47 )
| ( r @ X47 ) ) ) ) ),
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)],[c_0_15,c_0_13]),c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
thf(c_0_21,negated_conjecture,
! [X61: $i,X62: $i,X63: $i,X69: $i,X70: $i,X71: $i,X72: $i] :
( ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk2_0 @ esk3_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X62 )
| ( q @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X63 )
| ( r @ X63 )
| ~ ( rel_s4 @ esk3_0 @ X61 )
| ( p @ X61 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk2_0 @ esk8_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X69 )
| ( p @ X69 )
| ~ ( rel_s4 @ esk8_0 @ X70 )
| ( q @ X70 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( rel_s4 @ esk8_0 @ X71 )
| ( p @ X71 )
| ~ ( rel_s4 @ esk8_0 @ X72 )
| ( r @ X72 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) )
& ( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ) ),
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,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_23,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_24,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
thf(c_0_27,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_28,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_29,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_30,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_31,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_32,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
thf(c_0_33,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_34,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk9_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
thf(c_0_35,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_36,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_38,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_39,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_40,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_41,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_42,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_43,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_44,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
thf(c_0_45,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_46,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_47,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_48,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
thf(c_0_49,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_37]),c_0_41]),c_0_42]) ).
thf(c_0_50,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_51,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( p @ esk4_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
thf(c_0_52,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_53,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_54,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_55,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_56,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_57,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_37]),c_0_46]),c_0_47]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_48]),c_0_49]) ).
thf(c_0_59,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
thf(c_0_60,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_55]),c_0_56]) ).
thf(c_0_61,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_62,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_48]),c_0_49]) ).
thf(c_0_63,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_64,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
thf(c_0_65,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_66,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_67,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_68,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_69,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_59]),c_0_60]) ).
thf(c_0_70,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_71,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_72,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]),c_0_64]) ).
thf(c_0_73,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_74,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ~ ( r @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_51]),c_0_66]),c_0_67]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk9_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_59]),c_0_60]) ).
thf(c_0_76,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
thf(c_0_77,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_78,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
thf(c_0_79,negated_conjecture,
rel_s4 @ esk8_0 @ esk9_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
thf(c_0_80,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_81,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_82,plain,
( mtransitive
= ( ^ [Z0: $i > $i > $o] :
! [X16: $i,X17: $i,X18: $i] :
( ( ( Z0 @ X16 @ X17 )
& ( Z0 @ X17 @ X18 ) )
=> ( Z0 @ X16 @ X18 ) ) ) ),
inference(fof_simplification,[status(thm)],[mtransitive]) ).
thf(c_0_83,negated_conjecture,
! [X3: $i,X7: $i,X16: $i,X17: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( r @ X16 )
| ( p @ X17 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_84,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
thf(c_0_85,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_86,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_87,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_81]) ).
thf(c_0_88,plain,
! [X30: $i,X31: $i,X32: $i] :
( ( ( rel_s4 @ X30 @ X31 )
& ( rel_s4 @ X31 @ X32 ) )
=> ( rel_s4 @ X30 @ X32 ) ),
inference(apply_def,[status(thm)],[a2,c_0_82]) ).
thf(c_0_89,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X16: $i] : ( Z0 @ X16 @ X16 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_90,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
thf(c_0_91,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_79])]) ).
thf(c_0_92,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_93,plain,
! [X53: $i,X54: $i,X55: $i] :
( ~ ( rel_s4 @ X53 @ X54 )
| ~ ( rel_s4 @ X54 @ X55 )
| ( rel_s4 @ X53 @ X55 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
thf(c_0_94,plain,
! [X29: $i] : ( rel_s4 @ X29 @ X29 ),
inference(apply_def,[status(thm)],[a1,c_0_89]) ).
thf(c_0_95,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).
thf(c_0_96,plain,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ X3 @ X16 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X7 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
thf(c_0_97,plain,
! [X52: $i] : ( rel_s4 @ X52 @ X52 ),
inference(variable_rename,[status(thm)],[c_0_94]) ).
thf(c_0_98,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_95,c_0_72]) ).
thf(c_0_99,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk9_0 )
| ~ ( rel_s4 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_79]) ).
thf(c_0_100,plain,
! [X3: $i] : ( rel_s4 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
thf(c_0_101,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( r @ esk11_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_102,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
thf(c_0_103,negated_conjecture,
! [X3: $i,X7: $i] :
( ( r @ X3 )
| ( p @ X7 )
| ~ ( p @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_104,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_105,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_106,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
thf(c_0_107,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_102]),c_0_105]) ).
thf(c_0_108,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_109,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_84]),c_0_107]) ).
thf(c_0_110,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_91]) ).
thf(c_0_111,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_112,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_110,c_0_102]) ).
thf(c_0_113,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_114,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_115,negated_conjecture,
! [X3: $i,X7: $i,X16: $i,X17: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( q @ X16 )
| ( p @ X17 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_116,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_109]),c_0_112]),c_0_91]) ).
thf(c_0_117,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_118,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_72]),c_0_114]) ).
thf(c_0_119,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
thf(c_0_120,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_79])]) ).
thf(c_0_121,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_122,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_123,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),c_0_122]) ).
thf(c_0_124,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_123,c_0_72]) ).
thf(c_0_125,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( r @ esk11_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_126,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_99]),c_0_100])]) ).
thf(c_0_127,negated_conjecture,
! [X3: $i,X7: $i] :
( ( q @ X3 )
| ( p @ X7 )
| ~ ( p @ esk9_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_128,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_129,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk9_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_130,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_131,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_132,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_127]) ).
thf(c_0_133,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_126]),c_0_129]) ).
thf(c_0_134,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_135,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_72]),c_0_131]) ).
thf(c_0_136,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_137,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_116]),c_0_133]) ).
thf(c_0_138,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_79])]) ).
thf(c_0_139,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_140,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_141,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_120]) ).
thf(c_0_142,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_138]),c_0_139]),c_0_140]) ).
thf(c_0_143,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk9_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_144,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_141,c_0_126]) ).
thf(c_0_145,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_142,c_0_72]) ).
thf(c_0_146,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_116]) ).
thf(c_0_147,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_137]),c_0_144]),c_0_120]) ).
thf(c_0_148,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_99]),c_0_100])]) ).
thf(c_0_149,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_150,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk9_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_151,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
thf(c_0_152,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_148]),c_0_127]) ).
thf(c_0_153,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_148]),c_0_150]) ).
thf(c_0_154,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_151,c_0_72]) ).
thf(c_0_155,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_156,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_116]),c_0_153]) ).
thf(c_0_157,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk9_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_158,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_159,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_99]),c_0_100])]) ).
thf(c_0_160,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_138]) ).
thf(c_0_161,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_156]),c_0_134]) ).
thf(c_0_162,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( r @ esk11_0 )
| ( p @ esk4_0 )
| ( p @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
thf(c_0_163,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_148]),c_0_161]) ).
thf(c_0_164,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( p @ esk4_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_162,c_0_72]) ).
thf(c_0_165,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk6_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_163]) ).
thf(c_0_166,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( r @ esk11_0 )
| ( p @ esk4_0 )
| ( p @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_99]),c_0_100])]) ).
thf(c_0_167,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_165,c_0_147]) ).
thf(c_0_168,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_166]),c_0_103]) ).
thf(c_0_169,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_167,c_0_72]) ).
thf(c_0_170,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_171,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_168,c_0_116]) ).
thf(c_0_172,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_173,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_174,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_99]),c_0_100])]) ).
thf(c_0_175,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_176,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk4_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_147]) ).
thf(c_0_177,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_171]),c_0_117]) ).
thf(c_0_178,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
thf(c_0_179,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_166]),c_0_177]) ).
thf(c_0_180,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
thf(c_0_181,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_180,c_0_72]) ).
thf(c_0_182,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_99]),c_0_100])]) ).
thf(c_0_183,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_184,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_185,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_182]),c_0_103]) ).
thf(c_0_186,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_182]),c_0_184]) ).
thf(c_0_187,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_163]),c_0_186]) ).
thf(c_0_188,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_187]),c_0_147]) ).
thf(c_0_189,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_187]),c_0_117]) ).
thf(c_0_190,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_182]),c_0_189]) ).
thf(c_0_191,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ esk5_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_119,c_0_190]) ).
thf(c_0_192,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk4_0 )
| ( q @ esk5_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_191,c_0_72]) ).
thf(c_0_193,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_194,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( q @ esk5_0 )
| ( p @ esk4_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_99]),c_0_100])]) ).
thf(c_0_195,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_194]),c_0_159]),c_0_178]) ).
thf(c_0_196,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_195,c_0_72]) ).
thf(c_0_197,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ esk11_0 )
| ( p @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_99]),c_0_100])]) ).
thf(c_0_198,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_197]),c_0_103]) ).
thf(c_0_199,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_200,negated_conjecture,
( ~ ( p @ esk9_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_201,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_202,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk6_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_198,c_0_163]) ).
thf(c_0_203,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk4_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_197]),c_0_200]) ).
thf(c_0_204,negated_conjecture,
( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_205,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_147]),c_0_203]) ).
thf(c_0_206,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_202]),c_0_129]),c_0_200]) ).
thf(c_0_207,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_197]),c_0_127]) ).
thf(c_0_208,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_197]),c_0_206]) ).
thf(c_0_209,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_210,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_116]),c_0_208]) ).
thf(c_0_211,negated_conjecture,
( ~ ( p @ esk9_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_212,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_190]) ).
thf(c_0_213,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_198,c_0_116]) ).
thf(c_0_214,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_210]),c_0_190]) ).
thf(c_0_215,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_213]),c_0_147]),c_0_208]) ).
thf(c_0_216,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk10_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_213]),c_0_147]),c_0_208]) ).
thf(c_0_217,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_218,negated_conjecture,
rel_s4 @ esk8_0 @ esk10_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_197]),c_0_216]) ).
thf(c_0_219,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_217,c_0_218]) ).
thf(c_0_220,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_221,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_222,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_99]),c_0_100])]),c_0_77]) ).
thf(c_0_223,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_220,c_0_218]) ).
thf(c_0_224,negated_conjecture,
! [X3: $i,X7: $i,X16: $i,X17: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( r @ X16 )
| ( p @ X17 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_225,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_221,c_0_222]) ).
thf(c_0_226,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_227,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_228,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_99]),c_0_100])]),c_0_86]) ).
thf(c_0_229,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]) ).
thf(c_0_230,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_227,c_0_228]) ).
thf(c_0_231,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_232,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]) ).
thf(c_0_233,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk10_0 )
| ~ ( rel_s4 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_218]) ).
thf(c_0_234,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_100])]) ).
thf(c_0_235,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_236,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_99]),c_0_100])]) ).
thf(c_0_237,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_238,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_239,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_103]) ).
thf(c_0_240,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_236]),c_0_105]) ).
thf(c_0_241,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_242,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_243,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_236]),c_0_111]) ).
thf(c_0_244,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_225]),c_0_240]) ).
thf(c_0_245,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_241,c_0_218]) ).
thf(c_0_246,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_242,c_0_218]) ).
thf(c_0_247,negated_conjecture,
! [X3: $i,X7: $i,X16: $i,X17: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( q @ X16 )
| ( p @ X17 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_248,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_230]) ).
thf(c_0_249,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_250,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_99]),c_0_100])]),c_0_117]) ).
thf(c_0_251,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_252,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_99]),c_0_100])]),c_0_134]) ).
thf(c_0_253,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 )
| ( q @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
thf(c_0_254,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
thf(c_0_255,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_256,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_257,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_251,c_0_252]) ).
thf(c_0_258,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_259,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_260,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255]),c_0_256]) ).
thf(c_0_261,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_257]),c_0_258]),c_0_259]) ).
thf(c_0_262,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_233]),c_0_100])]) ).
thf(c_0_263,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_233]),c_0_100])]) ).
thf(c_0_264,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_265,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_99]),c_0_100])]) ).
thf(c_0_266,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_267,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_99]),c_0_100])]) ).
thf(c_0_268,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_269,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_127]) ).
thf(c_0_270,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_265]),c_0_129]) ).
thf(c_0_271,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_267]),c_0_127]) ).
thf(c_0_272,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_267]),c_0_150]) ).
thf(c_0_273,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( q @ esk10_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_274,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_248]),c_0_270]) ).
thf(c_0_275,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( q @ esk10_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_276,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_248]),c_0_272]) ).
thf(c_0_277,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_254]) ).
thf(c_0_278,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_274]),c_0_117]) ).
thf(c_0_279,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_257]) ).
thf(c_0_280,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_224,c_0_248]) ).
thf(c_0_281,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_265]),c_0_278]) ).
thf(c_0_282,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_279,c_0_267]) ).
thf(c_0_283,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_280,c_0_281]) ).
thf(c_0_284,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_276]),c_0_282]),c_0_257]) ).
thf(c_0_285,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_233]),c_0_100])]) ).
thf(c_0_286,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk6_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_224,c_0_284]) ).
thf(c_0_287,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_99]),c_0_100])]) ).
thf(c_0_288,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_286,c_0_281]) ).
thf(c_0_289,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_287]),c_0_103]) ).
thf(c_0_290,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_233]),c_0_100])]) ).
thf(c_0_291,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_289,c_0_248]) ).
thf(c_0_292,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_99]),c_0_100])]) ).
thf(c_0_293,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_294,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_291,c_0_281]) ).
thf(c_0_295,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_292]),c_0_103]) ).
thf(c_0_296,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_293,c_0_294]) ).
thf(c_0_297,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_295,c_0_284]) ).
thf(c_0_298,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_233]),c_0_100])]) ).
thf(c_0_299,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_172,c_0_294]) ).
thf(c_0_300,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_301,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_297,c_0_281]) ).
thf(c_0_302,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_303,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_304,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_99]),c_0_100])]),c_0_299]) ).
thf(c_0_305,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_302]) ).
thf(c_0_306,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_294]) ).
thf(c_0_307,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_305,c_0_306]) ).
thf(c_0_308,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_233]),c_0_100])]) ).
thf(c_0_309,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_301]),c_0_184]) ).
thf(c_0_310,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_99]),c_0_100])]),c_0_309]) ).
thf(c_0_311,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_312,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_303,c_0_310]) ).
thf(c_0_313,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_311,c_0_310]) ).
thf(c_0_314,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_301]),c_0_313]) ).
thf(c_0_315,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk5_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_314]),c_0_305]) ).
thf(c_0_316,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( q @ esk5_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_233]),c_0_100])]) ).
thf(c_0_317,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_318,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk5_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_99]),c_0_100])]) ).
thf(c_0_319,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_320,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk9_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_318]) ).
thf(c_0_321,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk9_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_319,c_0_318]) ).
thf(c_0_322,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_301]),c_0_321]) ).
thf(c_0_323,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ esk10_0 )
| ( p @ esk9_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_233]),c_0_100])]) ).
thf(c_0_324,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_325,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_99]),c_0_100])]) ).
thf(c_0_326,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_301]),c_0_200]) ).
thf(c_0_327,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_326]) ).
thf(c_0_328,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_329,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_327,c_0_301]) ).
thf(c_0_330,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_325]),c_0_127]) ).
thf(c_0_331,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_325]),c_0_329]),c_0_326]) ).
thf(c_0_332,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_248]),c_0_331]) ).
thf(c_0_333,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_334,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_332]),c_0_314]) ).
thf(c_0_335,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_336,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_332]),c_0_314]) ).
thf(c_0_337,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_294]),c_0_331]) ).
thf(c_0_338,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_332]),c_0_314]) ).
thf(c_0_339,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( r @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_325]),c_0_337]) ).
thf(c_0_340,negated_conjecture,
( ( rel_s4 @ esk8_0 @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_325]),c_0_337]) ).
thf(c_0_341,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_342,negated_conjecture,
rel_s4 @ esk8_0 @ esk11_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_301]),c_0_340]) ).
thf(c_0_343,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_341,c_0_222]) ).
thf(c_0_344,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_345,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_342]),c_0_343]) ).
thf(c_0_346,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_344,c_0_228]) ).
thf(c_0_347,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_345]),c_0_79])]) ).
thf(c_0_348,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_342]),c_0_346]) ).
thf(c_0_349,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_347]),c_0_226]) ).
thf(c_0_350,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_348]),c_0_79])]) ).
thf(c_0_351,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_347]),c_0_85]) ).
thf(c_0_352,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_350]),c_0_231]) ).
thf(c_0_353,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_350]),c_0_92]) ).
thf(c_0_354,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk11_0 )
| ~ ( rel_s4 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_342]) ).
thf(c_0_355,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_233]),c_0_100])]) ).
thf(c_0_356,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_354]),c_0_100])]) ).
thf(c_0_357,negated_conjecture,
! [X3: $i,X7: $i] :
( ( r @ X3 )
| ( p @ X7 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_358,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_99]),c_0_100])]) ).
thf(c_0_359,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_99]),c_0_100])]) ).
thf(c_0_360,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_361,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_362,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_359]),c_0_103]) ).
thf(c_0_363,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_358]),c_0_359]),c_0_105]) ).
thf(c_0_364,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_365,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ~ ( r @ esk7_0 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_358]),c_0_359]),c_0_111]) ).
thf(c_0_366,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_347]),c_0_363]) ).
thf(c_0_367,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_364,c_0_250]) ).
thf(c_0_368,negated_conjecture,
rel_s4 @ esk3_0 @ esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_350]) ).
thf(c_0_369,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_342]),c_0_367]) ).
thf(c_0_370,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk4_0 )
| ( q @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_247,c_0_368]) ).
thf(c_0_371,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_369]),c_0_79])]) ).
thf(c_0_372,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_373,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_115,c_0_368]) ).
thf(c_0_374,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_371]),c_0_255]),c_0_256]) ).
thf(c_0_375,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_372,c_0_252]) ).
thf(c_0_376,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_371]),c_0_121]),c_0_122]) ).
thf(c_0_377,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_233]),c_0_100])]) ).
thf(c_0_378,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_342]),c_0_375]) ).
thf(c_0_379,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_354]),c_0_100])]) ).
thf(c_0_380,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_381,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_99]),c_0_100])]) ).
thf(c_0_382,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( rel_s4 @ esk3_0 @ esk6_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_378]),c_0_79])]) ).
thf(c_0_383,negated_conjecture,
! [X3: $i,X7: $i] :
( ( q @ X3 )
| ( p @ X7 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_384,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_99]),c_0_100])]) ).
thf(c_0_385,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_129]) ).
thf(c_0_386,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_382]),c_0_258]),c_0_259]) ).
thf(c_0_387,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_381]),c_0_384]),c_0_127]) ).
thf(c_0_388,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk4_0 )
| ~ ( rel_s4 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_368]) ).
thf(c_0_389,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_384]),c_0_129]) ).
thf(c_0_390,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_382]),c_0_139]),c_0_140]) ).
thf(c_0_391,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_386,c_0_233]),c_0_100])]) ).
thf(c_0_392,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_393,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_387,c_0_388]),c_0_100])]),c_0_389]) ).
thf(c_0_394,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_354]),c_0_100])]) ).
thf(c_0_395,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_396,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_99]),c_0_100])]) ).
thf(c_0_397,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_392,c_0_393]),c_0_371]) ).
thf(c_0_398,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_393]),c_0_371]) ).
thf(c_0_399,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_99]),c_0_100])]) ).
thf(c_0_400,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_150]) ).
thf(c_0_401,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk4_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_224,c_0_368]) ).
thf(c_0_402,negated_conjecture,
rel_s4 @ esk3_0 @ esk7_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_381]),c_0_384]),c_0_398]) ).
thf(c_0_403,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk4_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_368]) ).
thf(c_0_404,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_396]),c_0_399]),c_0_127]) ).
thf(c_0_405,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_400,c_0_399]),c_0_150]) ).
thf(c_0_406,negated_conjecture,
! [X7: $i,X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_401,c_0_402]) ).
thf(c_0_407,negated_conjecture,
! [X7: $i,X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_403,c_0_402]) ).
thf(c_0_408,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_409,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_388]),c_0_100])]),c_0_405]) ).
thf(c_0_410,negated_conjecture,
! [X3: $i] :
( ( q @ esk10_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_233]),c_0_100])]) ).
thf(c_0_411,negated_conjecture,
! [X3: $i] :
( ( r @ esk11_0 )
| ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_354]),c_0_100])]) ).
thf(c_0_412,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_408,c_0_409]),c_0_382]) ).
thf(c_0_413,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk6_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_409]),c_0_382]) ).
thf(c_0_414,negated_conjecture,
( ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_99]),c_0_100])]) ).
thf(c_0_415,negated_conjecture,
( ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_99]),c_0_100])]) ).
thf(c_0_416,negated_conjecture,
rel_s4 @ esk3_0 @ esk6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_412,c_0_396]),c_0_399]),c_0_413]) ).
thf(c_0_417,negated_conjecture,
! [X7: $i,X3: $i] :
( ( p @ esk4_0 )
| ( r @ esk7_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_414]),c_0_415]),c_0_103]) ).
thf(c_0_418,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk6_0 )
| ( r @ X3 )
| ( q @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_224,c_0_416]) ).
thf(c_0_419,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk7_0 )
| ~ ( rel_s4 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_402]) ).
thf(c_0_420,negated_conjecture,
! [X3: $i,X7: $i,X16: $i] :
( ( p @ esk6_0 )
| ( r @ X3 )
| ( r @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X16 ) ),
inference(spm,[status(thm)],[c_0_83,c_0_416]) ).
thf(c_0_421,negated_conjecture,
! [X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_388]),c_0_100])]) ).
thf(c_0_422,negated_conjecture,
! [X7: $i,X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_418,c_0_419]),c_0_100])]) ).
thf(c_0_423,negated_conjecture,
! [X7: $i,X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_419]),c_0_100])]) ).
thf(c_0_424,negated_conjecture,
( ( p @ esk4_0 )
| ( r @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_421,c_0_419]),c_0_100])]) ).
thf(c_0_425,negated_conjecture,
! [X3: $i] :
( ( q @ esk10_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_233]),c_0_100])]) ).
thf(c_0_426,negated_conjecture,
! [X3: $i] :
( ( r @ esk11_0 )
| ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_354]),c_0_100])]) ).
thf(c_0_427,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_293,c_0_424]) ).
thf(c_0_428,negated_conjecture,
( ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_99]),c_0_100])]) ).
thf(c_0_429,negated_conjecture,
( ( p @ esk9_0 )
| ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_99]),c_0_100])]) ).
thf(c_0_430,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_427,c_0_233]),c_0_100])]) ).
thf(c_0_431,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_172,c_0_424]) ).
thf(c_0_432,negated_conjecture,
! [X7: $i,X3: $i] :
( ( p @ esk6_0 )
| ( r @ esk7_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_428]),c_0_429]),c_0_103]) ).
thf(c_0_433,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk6_0 )
| ~ ( rel_s4 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_96,c_0_416]) ).
thf(c_0_434,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_435,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_430,c_0_99]),c_0_100])]),c_0_431]) ).
thf(c_0_436,negated_conjecture,
! [X3: $i] :
( ( r @ esk7_0 )
| ( p @ esk6_0 )
| ( r @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_432,c_0_433]),c_0_100])]) ).
thf(c_0_437,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(spm,[status(thm)],[c_0_158,c_0_424]) ).
thf(c_0_438,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_435]),c_0_424]) ).
thf(c_0_439,negated_conjecture,
( ( p @ esk6_0 )
| ( r @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_419]),c_0_100])]) ).
thf(c_0_440,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_441,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_354]),c_0_100])]),c_0_438]) ).
thf(c_0_442,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_439]),c_0_440]) ).
thf(c_0_443,negated_conjecture,
! [X3: $i,X7: $i] :
( ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_429]),c_0_175]) ).
thf(c_0_444,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_441,c_0_99]),c_0_100])]),c_0_431]) ).
thf(c_0_445,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_233]),c_0_100])]) ).
thf(c_0_446,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_439]),c_0_184]) ).
thf(c_0_447,negated_conjecture,
! [X7: $i,X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(spm,[status(thm)],[c_0_443,c_0_444]) ).
thf(c_0_448,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_449,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( q @ esk10_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_445,c_0_99]),c_0_100])]),c_0_446]) ).
thf(c_0_450,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_354]),c_0_100])]) ).
thf(c_0_451,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk6_0 ) ),
inference(spm,[status(thm)],[c_0_448,c_0_449]) ).
thf(c_0_452,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_450,c_0_99]),c_0_100])]) ).
thf(c_0_453,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk7_0 )
| ~ ( r @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_434,c_0_449]) ).
thf(c_0_454,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_452]),c_0_446]) ).
thf(c_0_455,negated_conjecture,
( ( rel_s4 @ esk3_0 @ esk5_0 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_439]),c_0_454]) ).
thf(c_0_456,negated_conjecture,
rel_s4 @ esk3_0 @ esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_452]),c_0_446]) ).
thf(c_0_457,negated_conjecture,
! [X3: $i,X7: $i] :
( ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_439]),c_0_302]) ).
thf(c_0_458,negated_conjecture,
! [X7: $i,X3: $i] :
( ( q @ esk5_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_456]),c_0_457]) ).
thf(c_0_459,negated_conjecture,
! [X3: $i] :
( ( q @ esk10_0 )
| ( q @ esk5_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_233]),c_0_100])]) ).
thf(c_0_460,negated_conjecture,
! [X3: $i,X7: $i] :
( ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_439]),c_0_175]) ).
thf(c_0_461,negated_conjecture,
( ( p @ esk9_0 )
| ( q @ esk5_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_459,c_0_99]),c_0_100])]) ).
thf(c_0_462,negated_conjecture,
! [X7: $i,X3: $i] :
( ( q @ esk5_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_456]),c_0_460]) ).
thf(c_0_463,negated_conjecture,
! [X3: $i,X7: $i] :
( ( q @ esk10_0 )
| ( p @ esk9_0 )
| ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_317,c_0_461]) ).
thf(c_0_464,negated_conjecture,
! [X3: $i] :
( ( r @ esk11_0 )
| ( q @ esk5_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_462,c_0_354]),c_0_100])]) ).
thf(c_0_465,negated_conjecture,
! [X7: $i,X3: $i] :
( ( p @ esk9_0 )
| ( q @ esk10_0 )
| ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_463,c_0_424]),c_0_457]) ).
thf(c_0_466,negated_conjecture,
( ( p @ esk9_0 )
| ( q @ esk5_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_464,c_0_99]),c_0_100])]) ).
thf(c_0_467,negated_conjecture,
! [X3: $i] :
( ( q @ esk10_0 )
| ( p @ esk9_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_465,c_0_233]),c_0_100])]) ).
thf(c_0_468,negated_conjecture,
! [X3: $i,X7: $i] :
( ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( r @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( r @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_193,c_0_466]) ).
thf(c_0_469,negated_conjecture,
( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_470,negated_conjecture,
( ( p @ esk9_0 )
| ( q @ esk10_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_467,c_0_99]),c_0_100])]) ).
thf(c_0_471,negated_conjecture,
( ~ ( p @ esk4_0 )
| ~ ( p @ esk9_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_439]),c_0_200]) ).
thf(c_0_472,negated_conjecture,
( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( p @ esk6_0 )
| ~ ( p @ esk4_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_473,negated_conjecture,
! [X7: $i,X3: $i] :
( ( p @ esk9_0 )
| ( r @ esk11_0 )
| ( p @ X3 )
| ( r @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_468,c_0_424]),c_0_460]) ).
thf(c_0_474,negated_conjecture,
( ~ ( r @ esk7_0 )
| ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_470]),c_0_471]) ).
thf(c_0_475,negated_conjecture,
( ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 )
| ~ ( p @ esk6_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_472,c_0_470]),c_0_471]) ).
thf(c_0_476,negated_conjecture,
! [X3: $i] :
( ( r @ esk11_0 )
| ( p @ esk9_0 )
| ( p @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_473,c_0_354]),c_0_100])]) ).
thf(c_0_477,negated_conjecture,
( ~ ( r @ esk11_0 )
| ~ ( p @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_474,c_0_439]),c_0_475]) ).
thf(c_0_478,negated_conjecture,
( ( p @ esk9_0 )
| ( r @ esk11_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_476,c_0_99]),c_0_100])]) ).
thf(c_0_479,negated_conjecture,
~ ( p @ esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_477,c_0_478]),c_0_471]) ).
thf(c_0_480,negated_conjecture,
! [X7: $i,X3: $i] :
( ( q @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( r @ esk11_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_470]),c_0_127]) ).
thf(c_0_481,negated_conjecture,
r @ esk7_0,
inference(sr,[status(thm)],[c_0_424,c_0_479]) ).
thf(c_0_482,negated_conjecture,
! [X3: $i,X7: $i] :
( ( p @ X3 )
| ( q @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_480,c_0_478]),c_0_127]) ).
thf(c_0_483,negated_conjecture,
( ~ ( q @ esk5_0 )
| ~ ( p @ esk9_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_481])]) ).
thf(c_0_484,negated_conjecture,
! [X3: $i] :
( ( q @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_482,c_0_388]),c_0_100])]),c_0_479]) ).
thf(c_0_485,negated_conjecture,
~ ( p @ esk9_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_483,c_0_484]),c_0_456])]) ).
thf(c_0_486,negated_conjecture,
( ~ ( r @ esk11_0 )
| ~ ( q @ esk10_0 )
| ~ ( r @ esk7_0 )
| ~ ( q @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_487,negated_conjecture,
r @ esk11_0,
inference(sr,[status(thm)],[c_0_478,c_0_485]) ).
thf(c_0_488,negated_conjecture,
q @ esk10_0,
inference(sr,[status(thm)],[c_0_470,c_0_485]) ).
thf(c_0_489,negated_conjecture,
~ ( q @ esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_486,c_0_481])]),c_0_487]),c_0_488])]) ).
thf(c_0_490,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_489,c_0_484]),c_0_456])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN045^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n018.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 16:16:41 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.25 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.rfyvUSXloJ/E---3.1_280641.p
% 19.54/2.82 % Version: 3.5.1-ho
% 19.54/2.82 % Preprocessing class: HSMSSMSSMLMNHSN.
% 19.54/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.54/2.82 % Starting ho_unfolding_3 with 1500s (5) cores
% 19.54/2.82 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 19.54/2.82 % Starting almost_fo_3_lam with 300s (1) cores
% 19.54/2.82 % Starting post_as_ho1 with 300s (1) cores
% 19.54/2.82 % ho_unfolding_3 with pid 280657 completed with status 0
% 19.54/2.82 % Result found by ho_unfolding_3
% 19.54/2.82 % Preprocessing class: HSMSSMSSMLMNHSN.
% 19.54/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.54/2.82 % Starting ho_unfolding_3 with 1500s (5) cores
% 19.54/2.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.54/2.82 % No SInE strategy applied
% 19.54/2.82 % Search class: HGHNS-FSLM11-SHSSMFNN
% 19.54/2.82 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.54/2.82 % Starting SubtermCWHack with 136s (1) cores
% 19.54/2.82 % Starting ho_unfolding_3 with 151s (1) cores
% 19.54/2.82 % Starting sh5l with 136s (1) cores
% 19.54/2.82 % Starting new_bool_1 with 136s (1) cores
% 19.54/2.82 % Starting new_bool_2 with 136s (1) cores
% 19.54/2.82 % SubtermCWHack with pid 280661 completed with status 0
% 19.54/2.82 % Result found by SubtermCWHack
% 19.54/2.82 % Preprocessing class: HSMSSMSSMLMNHSN.
% 19.54/2.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 19.54/2.82 % Starting ho_unfolding_3 with 1500s (5) cores
% 19.54/2.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 19.54/2.82 % No SInE strategy applied
% 19.54/2.82 % Search class: HGHNS-FSLM11-SHSSMFNN
% 19.54/2.82 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 19.54/2.82 % Starting SubtermCWHack with 136s (1) cores
% 19.54/2.82 % Preprocessing time : 0.003 s
% 19.54/2.82
% 19.54/2.82 % Proof found!
% 19.54/2.82 % SZS status Theorem
% 19.54/2.82 % SZS output start CNFRefutation
% See solution above
% 19.54/2.83 % Parsed axioms : 76
% 19.54/2.83 % Removed by relevancy pruning/SinE : 0
% 19.54/2.83 % Initial clauses : 214
% 19.54/2.83 % Removed in clause preprocessing : 39
% 19.54/2.83 % Initial clauses in saturation : 175
% 19.54/2.83 % Processed clauses : 23796
% 19.54/2.83 % ...of these trivial : 44
% 19.54/2.83 % ...subsumed : 13194
% 19.54/2.83 % ...remaining for further processing : 10558
% 19.54/2.83 % Other redundant clauses eliminated : 0
% 19.54/2.83 % Clauses deleted for lack of memory : 0
% 19.54/2.83 % Backward-subsumed : 8310
% 19.54/2.83 % Backward-rewritten : 1961
% 19.54/2.83 % Generated clauses : 44615
% 19.54/2.83 % ...of the previous two non-redundant : 42026
% 19.54/2.83 % ...aggressively subsumed : 0
% 19.54/2.83 % Contextual simplify-reflections : 1935
% 19.54/2.83 % Paramodulations : 44552
% 19.54/2.83 % Factorizations : 0
% 19.54/2.83 % NegExts : 0
% 19.54/2.83 % Equation resolutions : 0
% 19.54/2.83 % Disequality decompositions : 0
% 19.54/2.83 % Total rewrite steps : 7057
% 19.54/2.83 % ...of those cached : 7023
% 19.54/2.83 % Propositional unsat checks : 0
% 19.54/2.83 % Propositional check models : 0
% 19.54/2.83 % Propositional check unsatisfiable : 0
% 19.54/2.83 % Propositional clauses : 0
% 19.54/2.83 % Propositional clauses after purity: 0
% 19.54/2.83 % Propositional unsat core size : 0
% 19.54/2.83 % Propositional preprocessing time : 0.000
% 19.54/2.83 % Propositional encoding time : 0.000
% 19.54/2.83 % Propositional solver time : 0.000
% 19.54/2.83 % Success case prop preproc time : 0.000
% 19.54/2.83 % Success case prop encoding time : 0.000
% 19.54/2.83 % Success case prop solver time : 0.000
% 19.54/2.83 % Current number of processed clauses : 224
% 19.54/2.83 % Positive orientable unit clauses : 42
% 19.54/2.83 % Positive unorientable unit clauses: 0
% 19.54/2.83 % Negative unit clauses : 3
% 19.54/2.83 % Non-unit-clauses : 179
% 19.54/2.83 % Current number of unprocessed clauses: 102
% 19.54/2.83 % ...number of literals in the above : 396
% 19.54/2.83 % Current number of archived formulas : 0
% 19.54/2.83 % Current number of archived clauses : 10334
% 19.54/2.83 % Clause-clause subsumption calls (NU) : 3159521
% 19.54/2.83 % Rec. Clause-clause subsumption calls : 128250
% 19.54/2.83 % Non-unit clause-clause subsumptions : 23335
% 19.54/2.83 % Unit Clause-clause subsumption calls : 5508
% 19.54/2.83 % Rewrite failures with RHS unbound : 0
% 19.54/2.83 % BW rewrite match attempts : 28
% 19.54/2.83 % BW rewrite match successes : 28
% 19.54/2.83 % Condensation attempts : 0
% 19.54/2.83 % Condensation successes : 0
% 19.54/2.83 % Termbank termtop insertions : 765082
% 19.54/2.83 % Search garbage collected termcells : 1582
% 19.54/2.83
% 19.54/2.83 % -------------------------------------------------
% 19.54/2.83 % User time : 2.280 s
% 19.54/2.83 % System time : 0.014 s
% 19.54/2.83 % Total time : 2.294 s
% 19.54/2.83 % Maximum resident set size: 4216 pages
% 19.54/2.83
% 19.54/2.83 % -------------------------------------------------
% 19.54/2.83 % User time : 12.255 s
% 19.54/2.83 % System time : 0.086 s
% 19.54/2.83 % Total time : 12.341 s
% 19.54/2.83 % Maximum resident set size: 4864 pages
% 19.54/2.83 % E exiting
%------------------------------------------------------------------------------