%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN367^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 08:41:23 AM UTC 2026
% Result : Theorem 20.35s 3.22s
% Output : CNFRefutation 20.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 14
% Syntax : Number of formulae : 90 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 347 ( 20 equ; 0 cnn)
% Maximal formula atoms : 45 ( 3 avg)
% Number of connectives : 1027 ( 144 ~; 160 |; 18 &; 696 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 34 ( 34 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 9 con; 0-3 aty)
% Number of variables : 171 ( 46 ^; 124 !; 1 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
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_37,type,
exists_in_world: mu > $i > $o ).
thf(decl_38,type,
mforall_ind: ( mu > $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,
p: $i > $o ).
thf(decl_59,type,
big_r: mu > $i > $o ).
thf(decl_60,type,
big_q: mu > $i > $o ).
thf(decl_61,type,
esk1_1: $i > mu ).
thf(decl_62,type,
esk2_0: $i ).
thf(decl_63,type,
esk3_0: $i ).
thf(decl_64,type,
esk4_3: $i > mu > $i > $i ).
thf(decl_65,type,
esk5_0: $i ).
thf(decl_66,type,
esk6_0: mu ).
thf(decl_67,type,
esk7_0: $i ).
thf(decl_68,type,
esk8_0: $i ).
thf(decl_69,type,
esk9_0: mu ).
thf(decl_70,type,
esk10_0: $i ).
thf(mand,axiom,
( mand
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mand) ).
thf(mnot,axiom,
( mnot
= ( ^ [X4: $i > $o,X3: $i] :
~ ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mor) ).
thf(mimplies,axiom,
( mimplies
= ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mimplies) ).
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/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mtransitive) ).
thf(x2118,conjecture,
( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X20: mu] : ( mor @ ( mand @ ( mbox_s4 @ p ) @ ( mbox_s4 @ ( big_q @ X20 ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ p ) ) ) @ ( mbox_s4 @ ( big_r @ X20 ) ) ) ) ) )
@ ( mor
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X21: mu] : ( mbox_s4 @ ( big_q @ X21 ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X22: mu] : ( mbox_s4 @ ( big_r @ X22 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',x2118) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X11: mu > $i > $o,X3: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ X3 )
=> ( X11 @ X12 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mforall_ind) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X4: $i > $o] :
! [X3: $i] : ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mvalid) ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X4: $i > $o,X3: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ X3 @ X7 )
| ( X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mbox_s4) ).
thf(a2,axiom,
mtransitive @ rel_s4,
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',a2) ).
thf(mreflexive,axiom,
( mreflexive
= ( ^ [X6: $i > $i > $o] :
! [X16: $i] : ( X6 @ X16 @ X16 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',mreflexive) ).
thf(a1,axiom,
mreflexive @ rel_s4,
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',a1) ).
thf(cumulative_ax,axiom,
! [X19: mu,X7: $i,X3: $i] :
( ( ( exists_in_world @ X19 @ X7 )
& ( rel_s4 @ X7 @ X3 ) )
=> ( exists_in_world @ X19 @ X3 ) ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',cumulative_ax) ).
thf(nonempty_ax,axiom,
! [X7: $i] :
? [X10: mu] : ( exists_in_world @ X10 @ X7 ),
file('/export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p',nonempty_ax) ).
thf(c_0_14,plain,
( mand
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
~ ( ~ ( Z0 @ Z2 )
| ~ ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand]) ).
thf(c_0_15,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_16,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_17,plain,
( mimplies
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies]) ).
thf(c_0_18,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_19,negated_conjecture,
~ ( mvalid
@ ( mbox_s4
@ ( mimplies
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X20: mu] : ( mor @ ( mand @ ( mbox_s4 @ p ) @ ( mbox_s4 @ ( big_q @ X20 ) ) ) @ ( mand @ ( mbox_s4 @ ( mnot @ ( mbox_s4 @ p ) ) ) @ ( mbox_s4 @ ( big_r @ X20 ) ) ) ) ) )
@ ( mor
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X21: mu] : ( mbox_s4 @ ( big_q @ X21 ) ) ) )
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X22: mu] : ( mbox_s4 @ ( big_r @ X22 ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[x2118]) ).
thf(c_0_20,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_14,c_0_15]),c_0_16]) ).
thf(c_0_21,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_17,c_0_15]),c_0_16]) ).
thf(c_0_22,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ Z1 )
=> ( Z0 @ X12 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_23,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_24,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_25,plain,
! [X33: $i,X34: $i,X35: $i] :
( ( ( rel_s4 @ X33 @ X34 )
& ( rel_s4 @ X34 @ X35 ) )
=> ( rel_s4 @ X33 @ X35 ) ),
inference(apply_def,[status(thm)],[a2,c_0_18]) ).
thf(c_0_26,negated_conjecture,
~ ! [X50: $i,X49: $i] :
( ~ ( rel_s4 @ X50 @ X49 )
| ~ ! [X42: $i] :
( ~ ( rel_s4 @ X49 @ X42 )
| ! [X41: mu] :
( ( exists_in_world @ X41 @ X42 )
=> ( ~ ( ~ ! [X36: $i] :
( ~ ( rel_s4 @ X42 @ X36 )
| ( p @ X36 ) )
| ~ ! [X37: $i] :
( ~ ( rel_s4 @ X42 @ X37 )
| ( big_q @ X41 @ X37 ) ) )
| ~ ( ~ ! [X39: $i] :
( ~ ( rel_s4 @ X42 @ X39 )
| ~ ! [X38: $i] :
( ~ ( rel_s4 @ X39 @ X38 )
| ( p @ X38 ) ) )
| ~ ! [X40: $i] :
( ~ ( rel_s4 @ X42 @ X40 )
| ( big_r @ X41 @ X40 ) ) ) ) ) )
| ! [X45: $i] :
( ~ ( rel_s4 @ X49 @ X45 )
| ! [X44: mu] :
( ( exists_in_world @ X44 @ X45 )
=> ! [X43: $i] :
( ~ ( rel_s4 @ X45 @ X43 )
| ( big_q @ X44 @ X43 ) ) ) )
| ! [X48: $i] :
( ~ ( rel_s4 @ X49 @ X48 )
| ! [X47: mu] :
( ( exists_in_world @ X47 @ X48 )
=> ! [X46: $i] :
( ~ ( rel_s4 @ X48 @ X46 )
| ( big_r @ X47 @ X46 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_19]),c_0_15]),c_0_16]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_24])]) ).
thf(c_0_27,plain,
! [X54: $i,X55: $i,X56: $i] :
( ~ ( rel_s4 @ X54 @ X55 )
| ~ ( rel_s4 @ X55 @ X56 )
| ( rel_s4 @ X54 @ X56 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
thf(c_0_28,negated_conjecture,
! [X62: $i,X63: mu,X64: $i,X65: $i,X66: $i,X68: $i] :
( ( rel_s4 @ esk2_0 @ esk3_0 )
& ( ( rel_s4 @ X66 @ ( esk4_3 @ X62 @ X63 @ X66 ) )
| ~ ( rel_s4 @ X62 @ X66 )
| ~ ( rel_s4 @ X62 @ X64 )
| ( p @ X64 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( ~ ( p @ ( esk4_3 @ X62 @ X63 @ X66 ) )
| ~ ( rel_s4 @ X62 @ X66 )
| ~ ( rel_s4 @ X62 @ X64 )
| ( p @ X64 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( ~ ( rel_s4 @ X62 @ X68 )
| ( big_r @ X63 @ X68 )
| ~ ( rel_s4 @ X62 @ X64 )
| ( p @ X64 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( ( rel_s4 @ X66 @ ( esk4_3 @ X62 @ X63 @ X66 ) )
| ~ ( rel_s4 @ X62 @ X66 )
| ~ ( rel_s4 @ X62 @ X65 )
| ( big_q @ X63 @ X65 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( ~ ( p @ ( esk4_3 @ X62 @ X63 @ X66 ) )
| ~ ( rel_s4 @ X62 @ X66 )
| ~ ( rel_s4 @ X62 @ X65 )
| ( big_q @ X63 @ X65 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( ~ ( rel_s4 @ X62 @ X68 )
| ( big_r @ X63 @ X68 )
| ~ ( rel_s4 @ X62 @ X65 )
| ( big_q @ X63 @ X65 )
| ~ ( exists_in_world @ X63 @ X62 )
| ~ ( rel_s4 @ esk3_0 @ X62 ) )
& ( rel_s4 @ esk3_0 @ esk5_0 )
& ( exists_in_world @ esk6_0 @ esk5_0 )
& ( rel_s4 @ esk5_0 @ esk7_0 )
& ~ ( big_q @ esk6_0 @ esk7_0 )
& ( rel_s4 @ esk3_0 @ esk8_0 )
& ( exists_in_world @ esk9_0 @ esk8_0 )
& ( rel_s4 @ esk8_0 @ esk10_0 )
& ~ ( big_r @ esk9_0 @ esk10_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_26])])])])])]) ).
thf(c_0_29,plain,
( mreflexive
= ( ^ [Z0: $i > $i > $o] :
! [X16: $i] : ( Z0 @ X16 @ X16 ) ) ),
inference(fof_simplification,[status(thm)],[mreflexive]) ).
thf(c_0_30,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_27]) ).
thf(c_0_31,negated_conjecture,
rel_s4 @ esk5_0 @ esk7_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_32,plain,
! [X32: $i] : ( rel_s4 @ X32 @ X32 ),
inference(apply_def,[status(thm)],[a1,c_0_29]) ).
thf(c_0_33,negated_conjecture,
! [X3: $i,X16: $i,X10: mu,X7: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ X7 @ X10 @ X3 ) )
| ( big_q @ X10 @ X16 )
| ~ ( rel_s4 @ X7 @ X3 )
| ~ ( rel_s4 @ X7 @ X16 )
| ~ ( exists_in_world @ X10 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_34,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk7_0 )
| ~ ( rel_s4 @ X3 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_35,negated_conjecture,
rel_s4 @ esk3_0 @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_36,plain,
! [X53: $i] : ( rel_s4 @ X53 @ X53 ),
inference(variable_rename,[status(thm)],[c_0_32]) ).
thf(c_0_37,negated_conjecture,
! [X3: $i,X7: $i,X10: mu] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk7_0 @ X10 @ X3 ) )
| ( big_q @ X10 @ X7 )
| ~ ( rel_s4 @ esk7_0 @ X7 )
| ~ ( rel_s4 @ esk7_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk7_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
thf(c_0_38,plain,
! [X3: $i] : ( rel_s4 @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
thf(c_0_39,plain,
! [X57: mu,X58: $i,X59: $i] :
( ~ ( exists_in_world @ X57 @ X58 )
| ~ ( rel_s4 @ X58 @ X59 )
| ( exists_in_world @ X57 @ X59 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cumulative_ax])])]) ).
thf(c_0_40,negated_conjecture,
! [X3: $i,X10: mu] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk7_0 @ X10 @ X3 ) )
| ( big_q @ X10 @ esk7_0 )
| ~ ( rel_s4 @ esk7_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_41,plain,
! [X3: $i,X10: mu,X7: $i] :
( ( exists_in_world @ X10 @ X7 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk7_0 @ X10 @ esk7_0 ) )
| ( big_q @ X10 @ esk7_0 )
| ~ ( exists_in_world @ X10 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
thf(c_0_43,negated_conjecture,
! [X10: mu] :
( ( exists_in_world @ X10 @ esk7_0 )
| ~ ( exists_in_world @ X10 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
thf(c_0_44,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk7_0 @ X10 @ esk7_0 ) )
| ( big_q @ X10 @ esk7_0 )
| ~ ( exists_in_world @ X10 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
thf(c_0_45,negated_conjecture,
exists_in_world @ esk6_0 @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_46,negated_conjecture,
~ ( big_q @ esk6_0 @ esk7_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_47,negated_conjecture,
rel_s4 @ esk7_0 @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
thf(c_0_48,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ~ ( rel_s4 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_47]) ).
thf(c_0_49,negated_conjecture,
! [X3: $i,X16: $i,X10: mu,X7: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ X7 @ X10 @ X3 ) )
| ( p @ X16 )
| ~ ( rel_s4 @ X7 @ X3 )
| ~ ( rel_s4 @ X7 @ X16 )
| ~ ( exists_in_world @ X10 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_50,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ~ ( rel_s4 @ X7 @ esk7_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_48]) ).
thf(c_0_51,negated_conjecture,
! [X3: $i,X7: $i,X10: mu] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk3_0 @ X10 @ X3 ) )
| ( p @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X7 )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_38]) ).
thf(c_0_52,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ~ ( rel_s4 @ X3 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
thf(c_0_53,negated_conjecture,
rel_s4 @ esk3_0 @ esk8_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_54,negated_conjecture,
! [X3: $i,X10: mu] :
( ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ( rel_s4 @ X3 @ ( esk4_3 @ esk3_0 @ X10 @ X3 ) )
| ~ ( rel_s4 @ esk3_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_35])]) ).
thf(c_0_55,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk8_0 )
| ~ ( rel_s4 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_53]) ).
thf(c_0_56,plain,
! [X51: $i] : ( exists_in_world @ ( esk1_1 @ X51 ) @ X51 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[nonempty_ax])]) ).
thf(c_0_57,negated_conjecture,
! [X16: $i,X10: mu,X7: $i,X3: $i] :
( ( big_r @ X10 @ X7 )
| ( p @ X16 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X3 @ X16 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_58,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk8_0 @ ( esk4_3 @ esk3_0 @ X10 @ esk8_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ~ ( exists_in_world @ X10 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_38])]) ).
thf(c_0_59,plain,
! [X3: $i] : ( exists_in_world @ ( esk1_1 @ X3 ) @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
thf(c_0_60,negated_conjecture,
! [X3: $i,X7: $i,X10: mu] :
( ( big_r @ X10 @ X3 )
| ( p @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X7 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_53]) ).
thf(c_0_61,negated_conjecture,
( ( rel_s4 @ esk8_0 @ ( esk4_3 @ esk3_0 @ ( esk1_1 @ esk3_0 ) @ esk8_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) ) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
thf(c_0_62,negated_conjecture,
rel_s4 @ esk8_0 @ esk10_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_63,negated_conjecture,
! [X3: $i,X7: $i,X10: mu] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk5_0 @ X10 @ X3 ) )
| ( p @ X7 )
| ~ ( rel_s4 @ esk5_0 @ X7 )
| ~ ( rel_s4 @ esk5_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
thf(c_0_64,negated_conjecture,
! [X3: $i,X10: mu] :
( ( p @ ( esk4_3 @ esk3_0 @ ( esk1_1 @ esk3_0 ) @ esk8_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ( big_r @ X10 @ X3 )
| ~ ( rel_s4 @ esk8_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
thf(c_0_65,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk10_0 )
| ~ ( rel_s4 @ X3 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_62]) ).
thf(c_0_66,negated_conjecture,
! [X3: $i,X10: mu] :
( ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ( rel_s4 @ X3 @ ( esk4_3 @ esk5_0 @ X10 @ X3 ) )
| ~ ( rel_s4 @ esk5_0 @ X3 )
| ~ ( exists_in_world @ X10 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_48]),c_0_31])]) ).
thf(c_0_67,negated_conjecture,
! [X10: mu] :
( ( p @ ( esk4_3 @ esk3_0 @ ( esk1_1 @ esk3_0 ) @ esk8_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ( big_r @ X10 @ esk10_0 )
| ~ ( exists_in_world @ X10 @ esk8_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_38])]) ).
thf(c_0_68,negated_conjecture,
exists_in_world @ esk9_0 @ esk8_0,
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_69,negated_conjecture,
~ ( big_r @ esk9_0 @ esk10_0 ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_70,negated_conjecture,
! [X10: mu] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ X10 @ esk7_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ~ ( exists_in_world @ X10 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_34]),c_0_38])]) ).
thf(c_0_71,negated_conjecture,
! [X16: $i,X10: mu,X7: $i,X3: $i] :
( ( p @ X16 )
| ~ ( p @ ( esk4_3 @ X3 @ X10 @ X7 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X3 @ X16 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_72,negated_conjecture,
( ( p @ ( esk4_3 @ esk3_0 @ ( esk1_1 @ esk3_0 ) @ esk8_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
thf(c_0_73,negated_conjecture,
! [X16: $i,X10: mu,X7: $i,X3: $i] :
( ( big_q @ X10 @ X16 )
| ~ ( p @ ( esk4_3 @ X3 @ X10 @ X7 ) )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( rel_s4 @ X3 @ X16 )
| ~ ( exists_in_world @ X10 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_74,negated_conjecture,
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ) )
| ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) ) ),
inference(spm,[status(thm)],[c_0_70,c_0_45]) ).
thf(c_0_75,negated_conjecture,
! [X3: $i,X7: $i] :
( ( rel_s4 @ X3 @ esk7_0 )
| ~ ( rel_s4 @ X7 @ esk5_0 )
| ~ ( rel_s4 @ X3 @ X7 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_34]) ).
thf(c_0_76,negated_conjecture,
! [X3: $i] :
( ( p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ) )
| ( p @ X3 )
| ~ ( rel_s4 @ esk3_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_38]),c_0_53]),c_0_59])]) ).
thf(c_0_77,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ) )
| ( big_q @ esk6_0 @ X3 )
| ~ ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( exists_in_world @ esk6_0 @ esk7_0 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_38])]) ).
thf(c_0_78,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ esk7_0 )
| ~ ( rel_s4 @ X3 @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_75,c_0_35]) ).
thf(c_0_79,negated_conjecture,
p @ ( esk4_3 @ esk7_0 @ esk6_0 @ esk7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_52]),c_0_35])]) ).
thf(c_0_80,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ) )
| ( big_q @ esk6_0 @ X3 )
| ~ ( exists_in_world @ esk6_0 @ esk7_0 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_38])]) ).
thf(c_0_81,negated_conjecture,
! [X3: $i] :
( ( p @ X3 )
| ~ ( rel_s4 @ esk3_0 @ esk7_0 )
| ~ ( exists_in_world @ esk6_0 @ esk7_0 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_79]),c_0_38])]) ).
thf(c_0_82,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ) )
| ( big_q @ esk6_0 @ X3 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_43]),c_0_45])]) ).
thf(c_0_83,negated_conjecture,
! [X3: $i] :
( ( p @ X3 )
| ~ ( exists_in_world @ esk6_0 @ esk7_0 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_78]),c_0_38])]) ).
thf(c_0_84,negated_conjecture,
rel_s4 @ esk7_0 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_38]),c_0_46]) ).
thf(c_0_85,negated_conjecture,
! [X3: $i] :
( ( p @ X3 )
| ~ ( rel_s4 @ esk7_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_43]),c_0_45])]) ).
thf(c_0_86,negated_conjecture,
! [X3: $i] :
( ( rel_s4 @ X3 @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ) )
| ~ ( rel_s4 @ X3 @ esk7_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_84]) ).
thf(c_0_87,negated_conjecture,
p @ ( esk4_3 @ esk5_0 @ esk6_0 @ esk7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_38])]) ).
thf(c_0_88,negated_conjecture,
! [X3: $i] :
( ( big_q @ esk6_0 @ X3 )
| ~ ( rel_s4 @ esk5_0 @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_87]),c_0_35]),c_0_31]),c_0_45])]) ).
thf(c_0_89,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_88]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN367^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 16:15:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.26 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.cGcnquE1Jb/E---3.1_1734.p
% 20.35/3.22 % Version: 3.5.1-ho
% 20.35/3.22 % Preprocessing class: HSMSSMSSMLMNHSN.
% 20.35/3.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.35/3.22 % Starting ho_unfolding_3 with 1500s (5) cores
% 20.35/3.22 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 20.35/3.22 % Starting almost_fo_3_lam with 300s (1) cores
% 20.35/3.22 % Starting post_as_ho1 with 300s (1) cores
% 20.35/3.22 % ho_unfolding_3 with pid 1750 completed with status 0
% 20.35/3.22 % Result found by ho_unfolding_3
% 20.35/3.22 % Preprocessing class: HSMSSMSSMLMNHSN.
% 20.35/3.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.35/3.22 % Starting ho_unfolding_3 with 1500s (5) cores
% 20.35/3.22 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.35/3.22 % No SInE strategy applied
% 20.35/3.22 % Search class: HGUNS-FFSM32-SHSSMFNN
% 20.35/3.22 % partial match(2): HGHNS-FFMM32-SHSSMFNN
% 20.35/3.22 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 20.35/3.22 % Starting SubtermCWHack with 136s (1) cores
% 20.35/3.22 % Starting ho_unfolding_3 with 151s (1) cores
% 20.35/3.22 % Starting ho_unfolding_6 with 136s (1) cores
% 20.35/3.22 % Starting sh4l with 136s (1) cores
% 20.35/3.22 % Starting lpo8_s with 136s (1) cores
% 20.35/3.22 % ho_unfolding_3 with pid 1756 completed with status 0
% 20.35/3.22 % Result found by ho_unfolding_3
% 20.35/3.22 % Preprocessing class: HSMSSMSSMLMNHSN.
% 20.35/3.22 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 20.35/3.22 % Starting ho_unfolding_3 with 1500s (5) cores
% 20.35/3.22 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 20.35/3.22 % No SInE strategy applied
% 20.35/3.22 % Search class: HGUNS-FFSM32-SHSSMFNN
% 20.35/3.22 % partial match(2): HGHNS-FFMM32-SHSSMFNN
% 20.35/3.22 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 20.35/3.22 % Starting SubtermCWHack with 136s (1) cores
% 20.35/3.22 % Starting ho_unfolding_3 with 151s (1) cores
% 20.35/3.22 % Preprocessing time : 0.002 s
% 20.35/3.22 % Presaturation interreduction done
% 20.35/3.22
% 20.35/3.22 % Proof found!
% 20.35/3.22 % SZS status Theorem
% 20.35/3.22 % SZS output start CNFRefutation
% See solution above
% 20.35/3.22 % Parsed axioms : 76
% 20.35/3.22 % Removed by relevancy pruning/SinE : 0
% 20.35/3.22 % Initial clauses : 58
% 20.35/3.22 % Removed in clause preprocessing : 39
% 20.35/3.22 % Initial clauses in saturation : 19
% 20.35/3.22 % Processed clauses : 13538
% 20.35/3.22 % ...of these trivial : 26
% 20.35/3.22 % ...subsumed : 6912
% 20.35/3.22 % ...remaining for further processing : 6600
% 20.35/3.22 % Other redundant clauses eliminated : 0
% 20.35/3.22 % Clauses deleted for lack of memory : 0
% 20.35/3.22 % Backward-subsumed : 586
% 20.35/3.22 % Backward-rewritten : 3167
% 20.35/3.22 % Generated clauses : 51500
% 20.35/3.22 % ...of the previous two non-redundant : 51086
% 20.35/3.22 % ...aggressively subsumed : 0
% 20.35/3.22 % Contextual simplify-reflections : 0
% 20.35/3.22 % Paramodulations : 51500
% 20.35/3.22 % Factorizations : 0
% 20.35/3.22 % NegExts : 0
% 20.35/3.22 % Equation resolutions : 0
% 20.35/3.22 % Disequality decompositions : 0
% 20.35/3.22 % Total rewrite steps : 5778
% 20.35/3.22 % ...of those cached : 5730
% 20.35/3.22 % Propositional unsat checks : 0
% 20.35/3.22 % Propositional check models : 0
% 20.35/3.22 % Propositional check unsatisfiable : 0
% 20.35/3.22 % Propositional clauses : 0
% 20.35/3.22 % Propositional clauses after purity: 0
% 20.35/3.22 % Propositional unsat core size : 0
% 20.35/3.22 % Propositional preprocessing time : 0.000
% 20.35/3.22 % Propositional encoding time : 0.000
% 20.35/3.22 % Propositional solver time : 0.000
% 20.35/3.22 % Success case prop preproc time : 0.000
% 20.35/3.22 % Success case prop encoding time : 0.000
% 20.35/3.22 % Success case prop solver time : 0.000
% 20.35/3.22 % Current number of processed clauses : 2828
% 20.35/3.22 % Positive orientable unit clauses : 52
% 20.35/3.22 % Positive unorientable unit clauses: 0
% 20.35/3.22 % Negative unit clauses : 2
% 20.35/3.22 % Non-unit-clauses : 2774
% 20.35/3.22 % Current number of unprocessed clauses: 35831
% 20.35/3.22 % ...number of literals in the above : 158207
% 20.35/3.22 % Current number of archived formulas : 0
% 20.35/3.22 % Current number of archived clauses : 3772
% 20.35/3.22 % Clause-clause subsumption calls (NU) : 2821390
% 20.35/3.22 % Rec. Clause-clause subsumption calls : 1463338
% 20.35/3.22 % Non-unit clause-clause subsumptions : 7429
% 20.35/3.22 % Unit Clause-clause subsumption calls : 12794
% 20.35/3.22 % Rewrite failures with RHS unbound : 0
% 20.35/3.22 % BW rewrite match attempts : 84
% 20.35/3.22 % BW rewrite match successes : 32
% 20.35/3.22 % Condensation attempts : 13538
% 20.35/3.22 % Condensation successes : 0
% 20.35/3.22 % Termbank termtop insertions : 1202290
% 20.35/3.22 % Search garbage collected termcells : 1130
% 20.35/3.22
% 20.35/3.22 % -------------------------------------------------
% 20.35/3.22 % User time : 2.862 s
% 20.35/3.22 % System time : 0.047 s
% 20.35/3.22 % Total time : 2.909 s
% 20.35/3.22 % Maximum resident set size: 3964 pages
% 20.35/3.22
% 20.35/3.22 % -------------------------------------------------
% 20.35/3.22 % User time : 14.053 s
% 20.35/3.22 % System time : 0.247 s
% 20.35/3.22 % Total time : 14.300 s
% 20.35/3.22 % Maximum resident set size: 4864 pages
% 20.35/3.22 % E exiting
%------------------------------------------------------------------------------