TSTP Solution File: NLP266^23 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : NLP266^23 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:55:48 EDT 2024
% Result : Theorem 0.19s 0.55s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 38
% Syntax : Number of formulae : 97 ( 21 unt; 25 typ; 0 def)
% Number of atoms : 446 ( 12 equ; 0 cnn)
% Maximal formula atoms : 57 ( 6 avg)
% Number of connectives : 2046 ( 272 ~; 268 |; 32 &;1450 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 10 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 24 usr; 6 con; 0-4 aty)
% Number of variables : 201 ( 38 ^ 154 !; 9 ?; 201 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_22,type,
mrel: mworld > mworld > $o ).
thf(decl_23,type,
mactual: mworld ).
thf(decl_24,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_26,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_28,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_30,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(decl_32,type,
eiw_di: $i > mworld > $o ).
thf(decl_33,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_34,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(decl_35,type,
u: $i ).
thf(decl_36,type,
one: $i ).
thf(decl_37,type,
number: $i > $i > mworld > $o ).
thf(decl_38,type,
string: $i > mworld > $o ).
thf(decl_39,type,
in: $i > $i > $i > mworld > $o ).
thf(decl_40,type,
do: $i > $i > $i > mworld > $o ).
thf(decl_41,type,
entry_box: $i > mworld > $o ).
thf(decl_42,type,
userid: $i > $i > mworld > $o ).
thf(decl_44,type,
esk2_1: mworld > $i ).
thf(decl_45,type,
esk3_0: $i ).
thf(decl_46,type,
esk4_4: mworld > $i > $i > $i > $i ).
thf(decl_47,type,
esk5_0: mworld ).
thf(decl_48,type,
esk6_4: $i > $i > $i > $i > mworld ).
thf(decl_49,type,
esk7_4: $i > $i > $i > $i > mworld ).
thf(decl_50,type,
esk8_4: $i > $i > $i > $i > $i ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mlocal_def) ).
thf(mand_def,axiom,
( mand
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
& ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X8: $i > mworld > $o,X3: mworld] :
! [X7: $i] :
( ( eiw_di @ X7 @ X3 )
=> ( X8 @ X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_di_def) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [X9: $i > mworld > $o,X3: mworld] :
? [X7: $i] :
( ( eiw_di @ X7 @ X3 )
& ( X9 @ X7 @ X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_di_def) ).
thf(mrel_euclidean,axiom,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( ( mrel @ X3 @ X6 )
& ( mrel @ X3 @ X5 ) )
=> ( mrel @ X6 @ X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(con,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [X10: $i] :
( mexists_di
@ ^ [X16: $i] :
( mexists_di
@ ^ [X17: $i] :
( mexists_di
@ ^ [X12: $i] :
( mand @ ( mbox @ ( mand @ ( userid @ u @ X10 ) @ ( mand @ ( entry_box @ X16 ) @ ( number @ X16 @ one ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [X15: $i] : ( mimplies @ ( do @ X12 @ X17 @ X15 ) @ ( in @ X10 @ X16 @ X15 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(ax3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X12: $i] :
( mforall_di
@ ^ [X10: $i] :
( mforall_di
@ ^ [X13: $i] :
( mimplies @ ( mand @ ( string @ X10 ) @ ( entry_box @ X13 ) )
@ ( mexists_di
@ ^ [X14: $i] :
( mbox
@ ( mforall_di
@ ^ [X15: $i] : ( mimplies @ ( do @ X12 @ X14 @ X15 ) @ ( in @ X10 @ X13 @ X15 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
thf(eiw_di_decr,axiom,
! [X3: mworld,X5: mworld,X7: $i] :
( ( ( eiw_di @ X7 @ X3 )
& ( mrel @ X5 @ X3 ) )
=> ( eiw_di @ X7 @ X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',eiw_di_decr) ).
thf(ax2,axiom,
( mlocal
@ ( mexists_di
@ ^ [X11: $i] : ( mbox @ ( mand @ ( entry_box @ X11 ) @ ( number @ X11 @ one ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(ax1,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [X10: $i] : ( mbox @ ( mand @ ( userid @ u @ X10 ) @ ( string @ X10 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(c_0_13,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_14,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_15,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_16,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_17,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X7: $i] :
( ( eiw_di @ X7 @ Z1 )
=> ( Z0 @ X7 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_18,plain,
( mexists_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
? [X7: $i] :
( ( eiw_di @ X7 @ Z1 )
& ( Z0 @ X7 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mexists_di_def]) ).
thf(c_0_19,plain,
! [X48: mworld,X49: mworld,X50: mworld] :
( ~ ( mrel @ X48 @ X50 )
| ~ ( mrel @ X48 @ X49 )
| ( mrel @ X50 @ X49 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_euclidean])])]) ).
thf(c_0_20,plain,
! [X47: mworld] : ( mrel @ X47 @ X47 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_21,negated_conjecture,
~ ! [X46: mworld] :
( ( mrel @ mactual @ X46 )
=> ? [X45: $i] :
( ( eiw_di @ X45 @ X46 )
& ? [X44: $i] :
( ( eiw_di @ X44 @ X46 )
& ? [X43: $i] :
( ( eiw_di @ X43 @ X46 )
& ? [X42: $i] :
( ( eiw_di @ X42 @ X46 )
& ! [X39: mworld] :
( ( mrel @ X46 @ X39 )
=> ( ( userid @ u @ X45 @ X39 )
& ( entry_box @ X44 @ X39 )
& ( number @ X44 @ one @ X39 ) ) )
& ! [X41: mworld] :
( ( mrel @ X46 @ X41 )
=> ! [X40: $i] :
( ( eiw_di @ X40 @ X41 )
=> ( ( do @ X42 @ X43 @ X40 @ X41 )
=> ( in @ X45 @ X44 @ X40 @ X41 ) ) ) ) ) ) ) ) ),
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)],[inference(assume_negation,[status(cth)],[con])]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
thf(c_0_22,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ X5 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X3 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
thf(c_0_23,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X69: $i,X70: $i,X71: $i,X72: $i] :
( ( mrel @ mactual @ esk5_0 )
& ( ( mrel @ esk5_0 @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ( eiw_di @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ( do @ X72 @ X71 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ~ ( in @ X69 @ X70 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ( mrel @ esk5_0 @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ( eiw_di @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ( do @ X72 @ X71 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ esk5_0 ) )
& ( ~ ( in @ X69 @ X70 @ ( esk8_4 @ X69 @ X70 @ X71 @ X72 ) @ ( esk7_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( userid @ u @ X69 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( entry_box @ X70 @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( number @ X70 @ one @ ( esk6_4 @ X69 @ X70 @ X71 @ X72 ) )
| ~ ( eiw_di @ X72 @ esk5_0 )
| ~ ( eiw_di @ X71 @ esk5_0 )
| ~ ( eiw_di @ X70 @ esk5_0 )
| ~ ( eiw_di @ X69 @ 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_21])])])])])]) ).
thf(c_0_25,plain,
! [X38: mworld] :
( ( mrel @ mactual @ X38 )
=> ! [X37: $i] :
( ( eiw_di @ X37 @ X38 )
=> ! [X36: $i] :
( ( eiw_di @ X36 @ X38 )
=> ! [X35: $i] :
( ( eiw_di @ X35 @ X38 )
=> ( ( ( string @ X36 @ X38 )
& ( entry_box @ X35 @ X38 ) )
=> ? [X34: $i] :
( ( eiw_di @ X34 @ X38 )
& ! [X33: mworld] :
( ( mrel @ X38 @ X33 )
=> ! [X32: $i] :
( ( eiw_di @ X32 @ X33 )
=> ( ( do @ X37 @ X34 @ X32 @ X33 )
=> ( in @ X36 @ X35 @ X32 @ X33 ) ) ) ) ) ) ) ) ) ),
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)],[ax3]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]) ).
thf(c_0_26,plain,
! [X53: mworld,X54: mworld,X55: $i] :
( ~ ( eiw_di @ X55 @ X53 )
| ~ ( mrel @ X54 @ X53 )
| ( eiw_di @ X55 @ X54 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[eiw_di_decr])])]) ).
thf(c_0_27,plain,
! [X5: mworld,X3: mworld] :
( ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_28,negated_conjecture,
mrel @ mactual @ esk5_0,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_29,plain,
? [X31: $i] :
( ( eiw_di @ X31 @ mactual )
& ! [X30: mworld] :
( ( mrel @ mactual @ X30 )
=> ( ( entry_box @ X31 @ X30 )
& ( number @ X31 @ one @ X30 ) ) ) ),
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)],[ax2]),c_0_13]),c_0_14]),c_0_16]),c_0_18]) ).
thf(c_0_30,plain,
! [X61: mworld,X62: $i,X63: $i,X64: $i,X66: mworld,X67: $i] :
( ( ( eiw_di @ ( esk4_4 @ X61 @ X62 @ X63 @ X64 ) @ X61 )
| ~ ( string @ X63 @ X61 )
| ~ ( entry_box @ X64 @ X61 )
| ~ ( eiw_di @ X64 @ X61 )
| ~ ( eiw_di @ X63 @ X61 )
| ~ ( eiw_di @ X62 @ X61 )
| ~ ( mrel @ mactual @ X61 ) )
& ( ~ ( mrel @ X61 @ X66 )
| ~ ( eiw_di @ X67 @ X66 )
| ~ ( do @ X62 @ ( esk4_4 @ X61 @ X62 @ X63 @ X64 ) @ X67 @ X66 )
| ( in @ X63 @ X64 @ X67 @ X66 )
| ~ ( string @ X63 @ X61 )
| ~ ( entry_box @ X64 @ X61 )
| ~ ( eiw_di @ X64 @ X61 )
| ~ ( eiw_di @ X63 @ X61 )
| ~ ( eiw_di @ X62 @ X61 )
| ~ ( mrel @ mactual @ X61 ) ) ),
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_25])])])])])]) ).
thf(c_0_31,plain,
! [X7: $i,X5: mworld,X3: mworld] :
( ( eiw_di @ X7 @ X5 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( mrel @ X5 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_32,negated_conjecture,
mrel @ esk5_0 @ mactual,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_33,plain,
! [X60: mworld] :
( ( eiw_di @ esk3_0 @ mactual )
& ( ( entry_box @ esk3_0 @ X60 )
| ~ ( mrel @ mactual @ X60 ) )
& ( ( number @ esk3_0 @ one @ X60 )
| ~ ( mrel @ mactual @ X60 ) ) ),
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_29])])])])])]) ).
thf(c_0_34,plain,
! [X5: mworld,X12: $i,X11: $i,X10: $i,X7: $i,X3: mworld] :
( ( in @ X11 @ X12 @ X7 @ X5 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( eiw_di @ X7 @ X5 )
| ~ ( do @ X10 @ ( esk4_4 @ X3 @ X10 @ X11 @ X12 ) @ X7 @ X5 )
| ~ ( string @ X11 @ X3 )
| ~ ( entry_box @ X12 @ X3 )
| ~ ( eiw_di @ X12 @ X3 )
| ~ ( eiw_di @ X11 @ X3 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_35,negated_conjecture,
! [X7: $i,X10: $i,X12: $i,X11: $i] :
( ( do @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ X10 @ X7 ) @ ( esk7_4 @ X11 @ X12 @ X10 @ X7 ) )
| ~ ( userid @ u @ X11 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
| ~ ( entry_box @ X12 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
| ~ ( number @ X12 @ one @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_36,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ( eiw_di @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_37,negated_conjecture,
! [X7: $i] :
( ( eiw_di @ X7 @ esk5_0 )
| ~ ( eiw_di @ X7 @ mactual ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_38,plain,
eiw_di @ esk3_0 @ mactual,
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_39,plain,
! [X29: mworld] :
( ( mrel @ mactual @ X29 )
=> ? [X28: $i] :
( ( eiw_di @ X28 @ X29 )
& ! [X27: mworld] :
( ( mrel @ X29 @ X27 )
=> ( ( userid @ u @ X28 @ X27 )
& ( string @ X28 @ X27 ) ) ) ) ),
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)],[ax1]),c_0_13]),c_0_14]),c_0_16]),c_0_18]) ).
thf(c_0_40,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ~ ( in @ X7 @ X10 @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_41,negated_conjecture,
! [X11: $i,X13: $i,X12: $i,X10: $i,X7: $i,X3: mworld] :
( ( in @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( number @ X12 @ one @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( userid @ u @ X11 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( mrel @ X3 @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( entry_box @ X12 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( eiw_di @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X13 @ esk5_0 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( eiw_di @ X13 @ X3 )
| ~ ( string @ X7 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
thf(c_0_42,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( entry_box @ X10 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( number @ X10 @ one @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_43,plain,
! [X3: mworld] :
( ( number @ esk3_0 @ one @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_44,negated_conjecture,
eiw_di @ esk3_0 @ esk5_0,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
thf(c_0_45,plain,
! [X3: mworld] :
( ( entry_box @ esk3_0 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_46,plain,
! [X56: mworld,X58: mworld] :
( ( ( eiw_di @ ( esk2_1 @ X56 ) @ X56 )
| ~ ( mrel @ mactual @ X56 ) )
& ( ( userid @ u @ ( esk2_1 @ X56 ) @ X58 )
| ~ ( mrel @ X56 @ X58 )
| ~ ( mrel @ mactual @ X56 ) )
& ( ( string @ ( esk2_1 @ X56 ) @ X58 )
| ~ ( mrel @ X56 @ X58 )
| ~ ( mrel @ mactual @ X56 ) ) ),
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_39])])])])])]) ).
thf(c_0_47,negated_conjecture,
! [X7: $i,X10: $i,X12: $i,X11: $i] :
( ( do @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ X10 @ X7 ) @ ( esk7_4 @ X11 @ X12 @ X10 @ X7 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X11 @ X12 @ X10 @ X7 ) )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_48,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ( eiw_di @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_49,negated_conjecture,
! [X11: $i,X10: $i,X7: $i,X3: mworld] :
( ~ ( number @ X7 @ one @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
| ~ ( userid @ u @ X10 @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
| ~ ( entry_box @ X7 @ ( esk6_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
| ~ ( mrel @ X3 @ ( esk7_4 @ X10 @ X7 @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ X11 ) )
| ~ ( eiw_di @ ( esk4_4 @ X3 @ X11 @ X10 @ X7 ) @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( eiw_di @ X11 @ X3 )
| ~ ( string @ X10 @ X3 )
| ~ ( entry_box @ X7 @ X3 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_50,negated_conjecture,
! [X11: $i,X10: $i,X7: $i] :
( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
| ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
| ~ ( mrel @ mactual @ ( esk6_4 @ X7 @ esk3_0 @ X10 @ X11 ) )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]),c_0_45]) ).
thf(c_0_51,plain,
! [X5: mworld,X3: mworld] :
( ( userid @ u @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_52,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( in @ X7 @ X10 @ ( esk8_4 @ X7 @ X10 @ X11 @ X12 ) @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_53,negated_conjecture,
! [X11: $i,X13: $i,X12: $i,X10: $i,X7: $i,X3: mworld] :
( ( in @ X7 @ X10 @ ( esk8_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( mrel @ X3 @ ( esk7_4 @ X11 @ X12 @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ X13 ) )
| ~ ( eiw_di @ ( esk4_4 @ X3 @ X13 @ X7 @ X10 ) @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X13 @ esk5_0 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( eiw_di @ X13 @ X3 )
| ~ ( string @ X7 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_47]),c_0_48]) ).
thf(c_0_54,negated_conjecture,
! [X10: $i,X7: $i,X3: mworld] :
( ~ ( userid @ u @ X7 @ ( esk6_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
| ~ ( mrel @ mactual @ ( esk6_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
| ~ ( mrel @ X3 @ ( esk7_4 @ X7 @ esk3_0 @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ X10 ) )
| ~ ( eiw_di @ ( esk4_4 @ X3 @ X10 @ X7 @ esk3_0 ) @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ esk3_0 @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( string @ X7 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_43]),c_0_44])]),c_0_45]),c_0_45]) ).
thf(c_0_55,negated_conjecture,
! [X10: $i,X7: $i,X3: mworld] :
( ( mrel @ esk5_0 @ ( esk7_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ X7 @ X10 ) )
| ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ X7 @ X10 ) )
| ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_22]) ).
thf(c_0_56,negated_conjecture,
! [X11: $i,X10: $i,X7: $i,X3: mworld] :
( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ X11 ) )
| ~ ( mrel @ X3 @ ( esk7_4 @ X7 @ X10 @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ X11 ) )
| ~ ( eiw_di @ ( esk4_4 @ X3 @ X11 @ X7 @ X10 ) @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( eiw_di @ X11 @ X3 )
| ~ ( string @ X7 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_57,negated_conjecture,
! [X12: $i,X11: $i,X10: $i,X7: $i] :
( ( mrel @ esk5_0 @ ( esk7_4 @ X7 @ X10 @ X11 @ X12 ) )
| ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ X11 @ X12 ) )
| ~ ( eiw_di @ X12 @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
thf(c_0_58,negated_conjecture,
! [X3: mworld,X7: $i,X5: mworld] :
( ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
| ~ ( mrel @ X5 @ ( esk7_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
| ~ ( eiw_di @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
| ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( eiw_di @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( string @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( eiw_di @ esk3_0 @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X7 @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_51]),c_0_22]) ).
thf(c_0_59,negated_conjecture,
! [X3: mworld,X10: $i,X7: $i,X5: mworld] :
( ( mrel @ X3 @ ( esk7_4 @ ( esk2_1 @ X5 ) @ esk3_0 @ X7 @ X10 ) )
| ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X5 ) @ esk3_0 @ X7 @ X10 ) )
| ~ ( eiw_di @ ( esk2_1 @ X5 ) @ esk5_0 )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_55]) ).
thf(c_0_60,negated_conjecture,
! [X7: $i,X11: $i,X10: $i] :
( ( mrel @ esk5_0 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ X11 ) )
| ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ esk5_0 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( string @ X7 @ esk5_0 )
| ~ ( entry_box @ X10 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_28])]) ).
thf(c_0_61,negated_conjecture,
! [X3: mworld,X7: $i,X5: mworld] :
( ~ ( mrel @ mactual @ ( esk6_4 @ ( esk2_1 @ X3 ) @ esk3_0 @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ X7 ) )
| ~ ( eiw_di @ ( esk4_4 @ X5 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
| ~ ( eiw_di @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( string @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( mrel @ mactual @ X5 )
| ~ ( eiw_di @ esk3_0 @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ esk5_0 @ X5 )
| ~ ( eiw_di @ X7 @ X5 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_31]),c_0_31]) ).
thf(c_0_62,negated_conjecture,
! [X3: mworld,X7: $i,X11: $i,X10: $i] :
( ( mrel @ X3 @ ( esk6_4 @ X7 @ X10 @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ X11 ) )
| ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X11 @ X7 @ X10 ) @ esk5_0 )
| ~ ( mrel @ esk5_0 @ X3 )
| ~ ( eiw_di @ X11 @ esk5_0 )
| ~ ( eiw_di @ X10 @ esk5_0 )
| ~ ( eiw_di @ X7 @ esk5_0 )
| ~ ( string @ X7 @ esk5_0 )
| ~ ( entry_box @ X10 @ esk5_0 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_60]) ).
thf(c_0_63,negated_conjecture,
! [X3: mworld,X7: $i] :
( ~ ( eiw_di @ ( esk4_4 @ esk5_0 @ X7 @ ( esk2_1 @ X3 ) @ esk3_0 ) @ esk5_0 )
| ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( string @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( entry_box @ esk3_0 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( eiw_di @ X7 @ esk5_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_28]),c_0_44]),c_0_23]),c_0_32])]) ).
thf(c_0_64,plain,
! [X11: $i,X10: $i,X7: $i,X3: mworld] :
( ( eiw_di @ ( esk4_4 @ X3 @ X7 @ X10 @ X11 ) @ X3 )
| ~ ( string @ X10 @ X3 )
| ~ ( entry_box @ X11 @ X3 )
| ~ ( eiw_di @ X11 @ X3 )
| ~ ( eiw_di @ X10 @ X3 )
| ~ ( eiw_di @ X7 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
thf(c_0_65,negated_conjecture,
! [X3: mworld] :
( ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( string @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( entry_box @ esk3_0 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_28]),c_0_44])])]) ).
thf(c_0_66,plain,
! [X5: mworld,X3: mworld] :
( ( string @ ( esk2_1 @ X3 ) @ X5 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_67,negated_conjecture,
! [X3: mworld] :
( ( mrel @ X3 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
thf(c_0_68,negated_conjecture,
! [X3: mworld] :
( ~ ( eiw_di @ ( esk2_1 @ X3 ) @ esk5_0 )
| ~ ( entry_box @ esk3_0 @ esk5_0 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
thf(c_0_69,plain,
! [X3: mworld] :
( ( eiw_di @ ( esk2_1 @ X3 ) @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
thf(c_0_70,negated_conjecture,
~ ( entry_box @ esk3_0 @ esk5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_28])]) ).
thf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_45]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP266^23 : TPTP v8.2.0. Released v8.1.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 21:38:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running higher-order theorem proving
% 0.19/0.47 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/benchmark/theBenchmark.p
% 0.19/0.55 # Version: 3.1.0-ho
% 0.19/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55 # Starting post_as_ho3 with 300s (1) cores
% 0.19/0.55 # Starting new_ho_12 with 300s (1) cores
% 0.19/0.55 # Starting new_bool_2 with 300s (1) cores
% 0.19/0.55 # new_ho_10_cnf2 with pid 25414 completed with status 0
% 0.19/0.55 # Result found by new_ho_10_cnf2
% 0.19/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55 # No SInE strategy applied
% 0.19/0.55 # Search class: HGHNS-FFMF33-SHSSMFNN
% 0.19/0.55 # partial match(2): HGHNS-FSLF33-SHSSMFNN
% 0.19/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55 # Starting new_ho_15 with 811s (1) cores
% 0.19/0.55 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.55 # Starting sh5l with 136s (1) cores
% 0.19/0.55 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.19/0.55 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.55 # new_ho_10_cnf2 with pid 25420 completed with status 0
% 0.19/0.55 # Result found by new_ho_10_cnf2
% 0.19/0.55 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.19/0.55 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.55 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.19/0.55 # No SInE strategy applied
% 0.19/0.55 # Search class: HGHNS-FFMF33-SHSSMFNN
% 0.19/0.55 # partial match(2): HGHNS-FSLF33-SHSSMFNN
% 0.19/0.55 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.55 # Starting new_ho_15 with 811s (1) cores
% 0.19/0.55 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.19/0.55 # Preprocessing time : 0.002 s
% 0.19/0.55 # Presaturation interreduction done
% 0.19/0.55
% 0.19/0.55 # Proof found!
% 0.19/0.55 # SZS status Theorem
% 0.19/0.55 # SZS output start CNFRefutation
% See solution above
% 0.19/0.55 # Parsed axioms : 40
% 0.19/0.55 # Removed by relevancy pruning/SinE : 0
% 0.19/0.55 # Initial clauses : 43
% 0.19/0.55 # Removed in clause preprocessing : 22
% 0.19/0.55 # Initial clauses in saturation : 21
% 0.19/0.55 # Processed clauses : 194
% 0.19/0.55 # ...of these trivial : 0
% 0.19/0.55 # ...subsumed : 37
% 0.19/0.55 # ...remaining for further processing : 157
% 0.19/0.55 # Other redundant clauses eliminated : 0
% 0.19/0.55 # Clauses deleted for lack of memory : 0
% 0.19/0.55 # Backward-subsumed : 5
% 0.19/0.55 # Backward-rewritten : 0
% 0.19/0.55 # Generated clauses : 803
% 0.19/0.55 # ...of the previous two non-redundant : 719
% 0.19/0.55 # ...aggressively subsumed : 0
% 0.19/0.55 # Contextual simplify-reflections : 27
% 0.19/0.55 # Paramodulations : 803
% 0.19/0.55 # Factorizations : 0
% 0.19/0.55 # NegExts : 0
% 0.19/0.55 # Equation resolutions : 0
% 0.19/0.55 # Disequality decompositions : 0
% 0.19/0.55 # Total rewrite steps : 354
% 0.19/0.55 # ...of those cached : 347
% 0.19/0.55 # Propositional unsat checks : 0
% 0.19/0.55 # Propositional check models : 0
% 0.19/0.55 # Propositional check unsatisfiable : 0
% 0.19/0.55 # Propositional clauses : 0
% 0.19/0.55 # Propositional clauses after purity: 0
% 0.19/0.55 # Propositional unsat core size : 0
% 0.19/0.55 # Propositional preprocessing time : 0.000
% 0.19/0.55 # Propositional encoding time : 0.000
% 0.19/0.55 # Propositional solver time : 0.000
% 0.19/0.55 # Success case prop preproc time : 0.000
% 0.19/0.55 # Success case prop encoding time : 0.000
% 0.19/0.55 # Success case prop solver time : 0.000
% 0.19/0.55 # Current number of processed clauses : 131
% 0.19/0.55 # Positive orientable unit clauses : 8
% 0.19/0.55 # Positive unorientable unit clauses: 0
% 0.19/0.55 # Negative unit clauses : 1
% 0.19/0.55 # Non-unit-clauses : 122
% 0.19/0.55 # Current number of unprocessed clauses: 567
% 0.19/0.55 # ...number of literals in the above : 5253
% 0.19/0.55 # Current number of archived formulas : 0
% 0.19/0.55 # Current number of archived clauses : 26
% 0.19/0.55 # Clause-clause subsumption calls (NU) : 7099
% 0.19/0.55 # Rec. Clause-clause subsumption calls : 2194
% 0.19/0.55 # Non-unit clause-clause subsumptions : 73
% 0.19/0.55 # Unit Clause-clause subsumption calls : 26
% 0.19/0.55 # Rewrite failures with RHS unbound : 0
% 0.19/0.55 # BW rewrite match attempts : 2
% 0.19/0.55 # BW rewrite match successes : 0
% 0.19/0.55 # Condensation attempts : 194
% 0.19/0.55 # Condensation successes : 5
% 0.19/0.55 # Termbank termtop insertions : 64084
% 0.19/0.55 # Search garbage collected termcells : 1620
% 0.19/0.55
% 0.19/0.55 # -------------------------------------------------
% 0.19/0.55 # User time : 0.073 s
% 0.19/0.55 # System time : 0.003 s
% 0.19/0.55 # Total time : 0.076 s
% 0.19/0.55 # Maximum resident set size: 2068 pages
% 0.19/0.55
% 0.19/0.55 # -------------------------------------------------
% 0.19/0.55 # User time : 0.346 s
% 0.19/0.55 # System time : 0.018 s
% 0.19/0.55 # Total time : 0.364 s
% 0.19/0.55 # Maximum resident set size: 1776 pages
% 0.19/0.55 % E---3.1 exiting
% 0.19/0.56 % E exiting
%------------------------------------------------------------------------------