%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NLP266^4 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 08:16:01 AM UTC 2026
% Result : Theorem 0.23s 0.30s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 245 ( 12 equ; 0 cnn)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1107 ( 93 ~; 89 |; 17 &; 892 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 6 con; 0-4 aty)
% Number of variables : 166 ( 43 ^; 114 !; 9 ?; 166 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mworld: $tType ).
thf(decl_23,type,
mrel: mworld > mworld > $o ).
thf(decl_24,type,
mactual: mworld ).
thf(decl_25,type,
mlocal: ( mworld > $o ) > $o ).
thf(decl_27,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_29,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(decl_31,type,
mbox: ( mworld > $o ) > 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_43,type,
esk1_1: mworld > $i ).
thf(decl_44,type,
esk2_0: $i ).
thf(decl_45,type,
esk3_4: mworld > $i > $i > $i > $i ).
thf(decl_46,type,
esk4_0: mworld ).
thf(decl_47,type,
esk5_4: $i > $i > $i > $i > mworld ).
thf(decl_48,type,
esk6_4: $i > $i > $i > $i > mworld ).
thf(decl_49,type,
esk7_4: $i > $i > $i > $i > $i ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mlocal_def) ).
thf(mand_def,axiom,
( mand
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
& ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mand_def) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [X2: mworld > $o,X4: mworld > $o,X3: mworld] :
( ( X2 @ X3 )
=> ( X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mimplies_def) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [X1: mworld > $o,X3: mworld] :
! [X5: mworld] :
( ( mrel @ X3 @ X5 )
=> ( X1 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mbox_def) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [X7: $i > mworld > $o,X3: mworld] :
! [X8: $i] : ( X7 @ X8 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mforall_di_def) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [X9: $i > mworld > $o,X3: mworld] :
? [X8: $i] : ( X9 @ X8 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mexists_di_def) ).
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/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.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/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',ax3) ).
thf(ax2,axiom,
( mlocal
@ ( mexists_di
@ ^ [X11: $i] : ( mbox @ ( mand @ ( entry_box @ X11 ) @ ( number @ X11 @ one ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',ax2) ).
thf(ax1,axiom,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [X10: $i] : ( mbox @ ( mand @ ( userid @ u @ X10 ) @ ( string @ X10 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',ax1) ).
thf(mrel_transitive,axiom,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( ( mrel @ X3 @ X5 )
& ( mrel @ X5 @ X6 ) )
=> ( mrel @ X3 @ X6 ) ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mrel_transitive) ).
thf(mrel_reflexive,axiom,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
file('/export/starexec/sandbox/tmp/tmp.DJ5YXTiTty/E---3.1_1148182.p',mrel_reflexive) ).
thf(c_0_12,plain,
( mlocal
= ( ^ [Z0: mworld > $o] : ( Z0 @ mactual ) ) ),
inference(fof_simplification,[status(thm)],[mlocal_def]) ).
thf(c_0_13,plain,
( mand
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
& ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mand_def]) ).
thf(c_0_14,plain,
( mimplies
= ( ^ [Z0: mworld > $o,Z1: mworld > $o,Z2: mworld] :
( ( Z0 @ Z2 )
=> ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimplies_def]) ).
thf(c_0_15,plain,
( mbox
= ( ^ [Z0: mworld > $o,Z1: mworld] :
! [X5: mworld] :
( ( mrel @ Z1 @ X5 )
=> ( Z0 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_def]) ).
thf(c_0_16,plain,
( mforall_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
! [X8: $i] : ( Z0 @ X8 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mforall_di_def]) ).
thf(c_0_17,plain,
( mexists_di
= ( ^ [Z0: $i > mworld > $o,Z1: mworld] :
? [X8: $i] : ( Z0 @ X8 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mexists_di_def]) ).
thf(c_0_18,negated_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 ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_19,plain,
! [X33: mworld] :
( ( mrel @ mactual @ X33 )
=> ! [X32: $i,X31: $i,X30: $i] :
( ( ( string @ X31 @ X33 )
& ( entry_box @ X30 @ X33 ) )
=> ? [X29: $i] :
! [X28: mworld] :
( ( mrel @ X33 @ X28 )
=> ! [X27: $i] :
( ( do @ X32 @ X29 @ X27 @ X28 )
=> ( in @ X31 @ X30 @ X27 @ X28 ) ) ) ) ),
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_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]) ).
thf(c_0_20,negated_conjecture,
~ ! [X41: mworld] :
( ( mrel @ mactual @ X41 )
=> ? [X40: $i,X39: $i,X38: $i,X37: $i] :
( ! [X34: mworld] :
( ( mrel @ X41 @ X34 )
=> ( ( userid @ u @ X40 @ X34 )
& ( entry_box @ X39 @ X34 )
& ( number @ X39 @ one @ X34 ) ) )
& ! [X36: mworld] :
( ( mrel @ X41 @ X36 )
=> ! [X35: $i] :
( ( do @ X37 @ X38 @ X35 @ X36 )
=> ( in @ X40 @ X39 @ X35 @ X36 ) ) ) ) ),
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_18]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]) ).
thf(c_0_21,plain,
! [X51: mworld,X52: $i,X53: $i,X54: $i,X56: mworld,X57: $i] :
( ~ ( mrel @ mactual @ X51 )
| ~ ( string @ X53 @ X51 )
| ~ ( entry_box @ X54 @ X51 )
| ~ ( mrel @ X51 @ X56 )
| ~ ( do @ X52 @ ( esk3_4 @ X51 @ X52 @ X53 @ X54 ) @ X57 @ X56 )
| ( in @ X53 @ X54 @ X57 @ X56 ) ),
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_19])])])])]) ).
thf(c_0_22,negated_conjecture,
! [X59: $i,X60: $i,X61: $i,X62: $i] :
( ( mrel @ mactual @ esk4_0 )
& ( ( mrel @ esk4_0 @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) )
& ( ( do @ X62 @ X61 @ ( esk7_4 @ X59 @ X60 @ X61 @ X62 ) @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) )
& ( ~ ( in @ X59 @ X60 @ ( esk7_4 @ X59 @ X60 @ X61 @ X62 ) @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) )
& ( ( mrel @ esk4_0 @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( userid @ u @ X59 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( entry_box @ X60 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( number @ X60 @ one @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) )
& ( ( do @ X62 @ X61 @ ( esk7_4 @ X59 @ X60 @ X61 @ X62 ) @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( userid @ u @ X59 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( entry_box @ X60 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( number @ X60 @ one @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) )
& ( ~ ( in @ X59 @ X60 @ ( esk7_4 @ X59 @ X60 @ X61 @ X62 ) @ ( esk6_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( userid @ u @ X59 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( entry_box @ X60 @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) )
| ~ ( number @ X60 @ one @ ( esk5_4 @ X59 @ X60 @ X61 @ X62 ) ) ) ),
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_23,plain,
? [X26: $i] :
! [X25: mworld] :
( ( mrel @ mactual @ X25 )
=> ( ( entry_box @ X26 @ X25 )
& ( number @ X26 @ one @ X25 ) ) ),
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_12]),c_0_13]),c_0_15]),c_0_17]) ).
thf(c_0_24,plain,
! [X10: $i,X3: mworld,X8: $i,X11: $i,X12: $i,X5: mworld] :
( ( in @ X8 @ X10 @ X12 @ X5 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X8 @ X3 )
| ~ ( entry_box @ X10 @ X3 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( do @ X11 @ ( esk3_4 @ X3 @ X11 @ X8 @ X10 ) @ X12 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X10: $i,X12: $i,X11: $i,X8: $i] :
( ( do @ X8 @ X10 @ ( esk7_4 @ X11 @ X12 @ X10 @ X8 ) @ ( esk6_4 @ X11 @ X12 @ X10 @ X8 ) )
| ~ ( userid @ u @ X11 @ ( esk5_4 @ X11 @ X12 @ X10 @ X8 ) )
| ~ ( entry_box @ X12 @ ( esk5_4 @ X11 @ X12 @ X10 @ X8 ) )
| ~ ( number @ X12 @ one @ ( esk5_4 @ X11 @ X12 @ X10 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_26,plain,
! [X50: mworld] :
( ( ( entry_box @ esk2_0 @ X50 )
| ~ ( mrel @ mactual @ X50 ) )
& ( ( number @ esk2_0 @ one @ X50 )
| ~ ( mrel @ mactual @ X50 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).
thf(c_0_27,plain,
! [X24: mworld] :
( ( mrel @ mactual @ X24 )
=> ? [X23: $i] :
! [X22: mworld] :
( ( mrel @ X24 @ X22 )
=> ( ( userid @ u @ X23 @ X22 )
& ( string @ X23 @ X22 ) ) ) ),
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_12]),c_0_13]),c_0_15]),c_0_17]) ).
thf(c_0_28,negated_conjecture,
! [X10: $i,X12: $i,X11: $i,X8: $i] :
( ( do @ X8 @ X10 @ ( esk7_4 @ X11 @ X12 @ X10 @ X8 ) @ ( esk6_4 @ X11 @ X12 @ X10 @ X8 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X11 @ X12 @ X10 @ X8 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_29,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X12: $i] :
( ~ ( in @ X8 @ X10 @ ( esk7_4 @ X8 @ X10 @ X11 @ X12 ) @ ( esk6_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( userid @ u @ X8 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( entry_box @ X10 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( number @ X10 @ one @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_30,negated_conjecture,
! [X10: $i,X8: $i,X12: $i,X11: $i,X13: $i,X3: mworld] :
( ( in @ X8 @ X10 @ ( esk7_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) @ ( esk6_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( number @ X12 @ one @ ( esk5_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( userid @ u @ X11 @ ( esk5_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( mrel @ X3 @ ( esk6_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( entry_box @ X12 @ ( esk5_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X8 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_31,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X12: $i] :
( ( mrel @ esk4_0 @ ( esk6_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( userid @ u @ X8 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( entry_box @ X10 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( number @ X10 @ one @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_32,plain,
! [X3: mworld] :
( ( number @ esk2_0 @ one @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_33,plain,
! [X3: mworld] :
( ( entry_box @ esk2_0 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
thf(c_0_34,plain,
! [X46: mworld,X48: mworld] :
( ( ( userid @ u @ ( esk1_1 @ X46 ) @ X48 )
| ~ ( mrel @ X46 @ X48 )
| ~ ( mrel @ mactual @ X46 ) )
& ( ( string @ ( esk1_1 @ X46 ) @ X48 )
| ~ ( mrel @ X46 @ X48 )
| ~ ( mrel @ mactual @ X46 ) ) ),
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_27])])])])])]) ).
thf(c_0_35,plain,
! [X43: mworld,X44: mworld,X45: mworld] :
( ~ ( mrel @ X43 @ X44 )
| ~ ( mrel @ X44 @ X45 )
| ( mrel @ X43 @ X45 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mrel_transitive])])]) ).
thf(c_0_36,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X12: $i] :
( ( mrel @ esk4_0 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) )
| ~ ( in @ X8 @ X10 @ ( esk7_4 @ X8 @ X10 @ X11 @ X12 ) @ ( esk6_4 @ X8 @ X10 @ X11 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_37,negated_conjecture,
! [X10: $i,X8: $i,X12: $i,X11: $i,X13: $i,X3: mworld] :
( ( in @ X8 @ X10 @ ( esk7_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) @ ( esk6_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( mrel @ X3 @ ( esk6_4 @ X11 @ X12 @ ( esk3_4 @ X3 @ X13 @ X8 @ X10 ) @ X13 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X8 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
thf(c_0_38,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X3: mworld] :
( ~ ( number @ X8 @ one @ ( esk5_4 @ X10 @ X8 @ ( esk3_4 @ X3 @ X11 @ X10 @ X8 ) @ X11 ) )
| ~ ( userid @ u @ X10 @ ( esk5_4 @ X10 @ X8 @ ( esk3_4 @ X3 @ X11 @ X10 @ X8 ) @ X11 ) )
| ~ ( entry_box @ X8 @ ( esk5_4 @ X10 @ X8 @ ( esk3_4 @ X3 @ X11 @ X10 @ X8 ) @ X11 ) )
| ~ ( mrel @ X3 @ ( esk6_4 @ X10 @ X8 @ ( esk3_4 @ X3 @ X11 @ X10 @ X8 ) @ X11 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X10 @ X3 )
| ~ ( entry_box @ X8 @ X3 ) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
thf(c_0_39,negated_conjecture,
! [X10: $i,X8: $i,X11: $i] :
( ( mrel @ esk4_0 @ ( esk6_4 @ X8 @ esk2_0 @ X10 @ X11 ) )
| ~ ( userid @ u @ X8 @ ( esk5_4 @ X8 @ esk2_0 @ X10 @ X11 ) )
| ~ ( mrel @ mactual @ ( esk5_4 @ X8 @ esk2_0 @ X10 @ X11 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
thf(c_0_40,plain,
! [X5: mworld,X3: mworld] :
( ( userid @ u @ ( esk1_1 @ X3 ) @ X5 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_41,plain,
! [X3: mworld,X5: mworld,X6: mworld] :
( ( mrel @ X3 @ X6 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ X5 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_42,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X3: mworld] :
( ( mrel @ esk4_0 @ ( esk5_4 @ X8 @ X10 @ ( esk3_4 @ X3 @ X11 @ X8 @ X10 ) @ X11 ) )
| ~ ( mrel @ X3 @ ( esk6_4 @ X8 @ X10 @ ( esk3_4 @ X3 @ X11 @ X8 @ X10 ) @ X11 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X8 @ X3 )
| ~ ( entry_box @ X10 @ X3 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_43,negated_conjecture,
! [X10: $i,X8: $i,X11: $i,X12: $i] :
( ( mrel @ esk4_0 @ ( esk6_4 @ X8 @ X10 @ X11 @ X12 ) )
| ( mrel @ esk4_0 @ ( esk5_4 @ X8 @ X10 @ X11 @ X12 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_44,negated_conjecture,
mrel @ mactual @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
thf(c_0_45,negated_conjecture,
! [X10: $i,X8: $i,X3: mworld] :
( ~ ( userid @ u @ X8 @ ( esk5_4 @ X8 @ esk2_0 @ ( esk3_4 @ X3 @ X10 @ X8 @ esk2_0 ) @ X10 ) )
| ~ ( mrel @ mactual @ ( esk5_4 @ X8 @ esk2_0 @ ( esk3_4 @ X3 @ X10 @ X8 @ esk2_0 ) @ X10 ) )
| ~ ( mrel @ X3 @ ( esk6_4 @ X8 @ esk2_0 @ ( esk3_4 @ X3 @ X10 @ X8 @ esk2_0 ) @ X10 ) )
| ~ ( mrel @ mactual @ X3 )
| ~ ( string @ X8 @ X3 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_32]),c_0_33]),c_0_33]) ).
thf(c_0_46,negated_conjecture,
! [X10: $i,X8: $i,X3: mworld] :
( ( mrel @ esk4_0 @ ( esk6_4 @ ( esk1_1 @ X3 ) @ esk2_0 @ X8 @ X10 ) )
| ~ ( mrel @ X3 @ ( esk5_4 @ ( esk1_1 @ X3 ) @ esk2_0 @ X8 @ X10 ) )
| ~ ( mrel @ mactual @ X3 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
thf(c_0_47,negated_conjecture,
! [X11: $i,X8: $i,X10: $i] :
( ( mrel @ esk4_0 @ ( esk5_4 @ X8 @ X10 @ ( esk3_4 @ esk4_0 @ X11 @ X8 @ X10 ) @ X11 ) )
| ~ ( string @ X8 @ esk4_0 )
| ~ ( entry_box @ X10 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
thf(c_0_48,negated_conjecture,
! [X8: $i,X3: mworld,X5: mworld] :
( ~ ( mrel @ X3 @ ( esk6_4 @ ( esk1_1 @ X5 ) @ esk2_0 @ ( esk3_4 @ X3 @ X8 @ ( esk1_1 @ X5 ) @ esk2_0 ) @ X8 ) )
| ~ ( mrel @ X5 @ ( esk5_4 @ ( esk1_1 @ X5 ) @ esk2_0 @ ( esk3_4 @ X3 @ X8 @ ( esk1_1 @ X5 ) @ esk2_0 ) @ X8 ) )
| ~ ( string @ ( esk1_1 @ X5 ) @ X3 )
| ~ ( mrel @ mactual @ X3 )
| ~ ( mrel @ mactual @ X5 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_41]) ).
thf(c_0_49,negated_conjecture,
! [X8: $i] :
( ( mrel @ esk4_0 @ ( esk6_4 @ ( esk1_1 @ esk4_0 ) @ esk2_0 @ ( esk3_4 @ esk4_0 @ X8 @ ( esk1_1 @ esk4_0 ) @ esk2_0 ) @ X8 ) )
| ~ ( string @ ( esk1_1 @ esk4_0 ) @ esk4_0 )
| ~ ( entry_box @ esk2_0 @ esk4_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_44])]) ).
thf(c_0_50,plain,
! [X42: mworld] : ( mrel @ X42 @ X42 ),
inference(variable_rename,[status(thm)],[mrel_reflexive]) ).
thf(c_0_51,negated_conjecture,
( ~ ( string @ ( esk1_1 @ esk4_0 ) @ esk4_0 )
| ~ ( entry_box @ esk2_0 @ esk4_0 ) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_44])]),c_0_47]) ).
thf(c_0_52,plain,
! [X5: mworld,X3: mworld] :
( ( string @ ( esk1_1 @ X3 ) @ X5 )
| ~ ( mrel @ X3 @ X5 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_53,plain,
! [X3: mworld] : ( mrel @ X3 @ X3 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_54,negated_conjecture,
~ ( entry_box @ esk2_0 @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_44]),c_0_53])]) ).
thf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_33]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP266^4 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 % Computer : n001.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Sep 29 11:53:05 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.26 Running higher-order theorem proving
% 0.23/0.27 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.DJ5YXTiTty/E---3.1_1148182.p
% 0.23/0.30 % Version: 3.5.1-ho
% 0.23/0.30 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.30 % Starting post_as_ho3 with 300s (1) cores
% 0.23/0.30 % Starting new_ho_12 with 300s (1) cores
% 0.23/0.30 % Starting new_bool_2 with 300s (1) cores
% 0.23/0.30 % new_ho_10_cnf2 with pid 1148195 completed with status 0
% 0.23/0.30 % Result found by new_ho_10_cnf2
% 0.23/0.30 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHNF-FFMF33-SHSSMFNN
% 0.23/0.30 % partial match(2): HGHNF-FFMF11-SHSSMFNN
% 0.23/0.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 151s (1) cores
% 0.23/0.30 % Starting new_ho_10_cnf2 with 901s (1) cores
% 0.23/0.30 % Starting post_as_ho11 with 151s (1) cores
% 0.23/0.30 % Starting new_ho_9 with 151s (1) cores
% 0.23/0.30 % Starting post_as_ho4 with 146s (1) cores
% 0.23/0.30 % new_ho_10_cnf2 with pid 1148200 completed with status 0
% 0.23/0.30 % Result found by new_ho_10_cnf2
% 0.23/0.30 % Preprocessing class: HSMSSMSSMLLNHSN.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHNF-FFMF33-SHSSMFNN
% 0.23/0.30 % partial match(2): HGHNF-FFMF11-SHSSMFNN
% 0.23/0.30 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 151s (1) cores
% 0.23/0.30 % Starting new_ho_10_cnf2 with 901s (1) cores
% 0.23/0.30 % Preprocessing time : 0.001 s
% 0.23/0.30 % Presaturation interreduction done
% 0.23/0.30
% 0.23/0.30 % Proof found!
% 0.23/0.30 % SZS status Theorem
% 0.23/0.30 % SZS output start CNFRefutation
% See solution above
% 0.23/0.30 % Parsed axioms : 37
% 0.23/0.30 % Removed by relevancy pruning/SinE : 0
% 0.23/0.30 % Initial clauses : 35
% 0.23/0.30 % Removed in clause preprocessing : 21
% 0.23/0.30 % Initial clauses in saturation : 14
% 0.23/0.30 % Processed clauses : 61
% 0.23/0.30 % ...of these trivial : 0
% 0.23/0.30 % ...subsumed : 7
% 0.23/0.30 % ...remaining for further processing : 54
% 0.23/0.30 % Other redundant clauses eliminated : 0
% 0.23/0.30 % Clauses deleted for lack of memory : 0
% 0.23/0.30 % Backward-subsumed : 2
% 0.23/0.30 % Backward-rewritten : 2
% 0.23/0.30 % Generated clauses : 50
% 0.23/0.30 % ...of the previous two non-redundant : 47
% 0.23/0.30 % ...aggressively subsumed : 0
% 0.23/0.30 % Contextual simplify-reflections : 6
% 0.23/0.30 % Paramodulations : 50
% 0.23/0.30 % Factorizations : 0
% 0.23/0.30 % NegExts : 0
% 0.23/0.30 % Equation resolutions : 0
% 0.23/0.30 % Disequality decompositions : 0
% 0.23/0.30 % Total rewrite steps : 19
% 0.23/0.30 % ...of those cached : 14
% 0.23/0.30 % Propositional unsat checks : 0
% 0.23/0.30 % Propositional check models : 0
% 0.23/0.30 % Propositional check unsatisfiable : 0
% 0.23/0.30 % Propositional clauses : 0
% 0.23/0.30 % Propositional clauses after purity: 0
% 0.23/0.30 % Propositional unsat core size : 0
% 0.23/0.30 % Propositional preprocessing time : 0.000
% 0.23/0.30 % Propositional encoding time : 0.000
% 0.23/0.30 % Propositional solver time : 0.000
% 0.23/0.30 % Success case prop preproc time : 0.000
% 0.23/0.30 % Success case prop encoding time : 0.000
% 0.23/0.30 % Success case prop solver time : 0.000
% 0.23/0.30 % Current number of processed clauses : 36
% 0.23/0.30 % Positive orientable unit clauses : 3
% 0.23/0.30 % Positive unorientable unit clauses: 0
% 0.23/0.30 % Negative unit clauses : 1
% 0.23/0.30 % Non-unit-clauses : 32
% 0.23/0.30 % Current number of unprocessed clauses: 14
% 0.23/0.30 % ...number of literals in the above : 48
% 0.23/0.30 % Current number of archived formulas : 0
% 0.23/0.30 % Current number of archived clauses : 18
% 0.23/0.30 % Clause-clause subsumption calls (NU) : 269
% 0.23/0.30 % Rec. Clause-clause subsumption calls : 132
% 0.23/0.30 % Non-unit clause-clause subsumptions : 14
% 0.23/0.30 % Unit Clause-clause subsumption calls : 25
% 0.23/0.30 % Rewrite failures with RHS unbound : 0
% 0.23/0.30 % BW rewrite match attempts : 3
% 0.23/0.30 % BW rewrite match successes : 1
% 0.23/0.30 % Condensation attempts : 61
% 0.23/0.30 % Condensation successes : 0
% 0.23/0.30 % Termbank termtop insertions : 5020
% 0.23/0.30 % Search garbage collected termcells : 1249
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.007 s
% 0.23/0.30 % System time : 0.003 s
% 0.23/0.30 % Total time : 0.009 s
% 0.23/0.30 % Maximum resident set size: 3672 pages
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.029 s
% 0.23/0.30 % System time : 0.016 s
% 0.23/0.30 % Total time : 0.044 s
% 0.23/0.30 % Maximum resident set size: 4864 pages
% 0.23/0.30 % E exiting
%------------------------------------------------------------------------------