%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:39:42 AM UTC 2026
% Result : Theorem 168.22s 24.82s
% Output : CNFRefutation 168.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 297 ( 25 equ; 0 cnn)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 860 ( 98 ~; 148 |; 9 &; 581 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 61 ( 61 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 22 usr; 3 con; 0-3 aty)
% Number of variables : 189 ( 52 ^; 137 !; 0 ?; 189 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_29,type,
mnot: ( $i > $o ) > $i > $o ).
thf(decl_30,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_32,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_34,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_38,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_42,type,
rel: $i > $i > $o ).
thf(decl_43,type,
icl_atom: ( $i > $o ) > $i > $o ).
thf(decl_44,type,
icl_princ: ( $i > $o ) > $i > $o ).
thf(decl_47,type,
icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_51,type,
iclval: ( $i > $o ) > $o ).
thf(decl_52,type,
admin: $i > $o ).
thf(decl_53,type,
bob: $i > $o ).
thf(decl_54,type,
deletefile1: $i > $o ).
thf(decl_55,type,
esk1_2: ( $i > $o ) > $i > $i ).
thf(decl_56,type,
esk2_2: ( $i > $o ) > $i > $i ).
thf(decl_57,type,
esk3_2: $i > $i > $i ).
thf(decl_58,type,
esk4_2: $i > $i > $i ).
thf(decl_59,type,
esk5_3: $i > $i > $i > $i ).
thf(decl_60,type,
esk6_3: $i > $i > $i > $i ).
thf(decl_61,type,
esk7_0: $i ).
thf(decl_62,type,
esk8_0: $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',mor) ).
thf(icl_atom,axiom,
( icl_atom
= ( ^ [X11: $i > $o] : ( mbox @ rel @ X11 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',icl_atom) ).
thf(mbox,axiom,
( mbox
= ( ^ [X10: $i > $i > $o,X11: $i > $o,X1: $i] :
! [X12: $i] :
( ( X10 @ X1 @ X12 )
=> ( X11 @ X12 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',mbox) ).
thf(icl_impl,axiom,
( icl_impl
= ( ^ [X19: $i > $o,X20: $i > $o] : ( mbox @ rel @ ( mimpl @ X19 @ X20 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',icl_impl) ).
thf(icl_says,axiom,
( icl_says
= ( ^ [X19: $i > $o,X21: $i > $o] : ( mbox @ rel @ ( mor @ X19 @ X21 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',icl_says) ).
thf(icl_s4_valid,axiom,
( iclval
= ( ^ [X22: $i > $o] : ( mvalid @ X22 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',icl_s4_valid) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',mvalid) ).
thf(icl_princ,axiom,
( icl_princ
= ( ^ [X11: $i > $o] : X11 ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',icl_princ) ).
thf(refl_axiom,axiom,
! [X19: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X19 ) @ X19 ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',refl_axiom) ).
thf(ax2,axiom,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_impl @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',ax2) ).
thf(trans_axiom,axiom,
! [X20: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X20 ) @ ( mbox @ rel @ ( mbox @ rel @ X20 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',trans_axiom) ).
thf(ax1,axiom,
iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_atom @ deletefile1 ) ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',ax1) ).
thf(ax3,axiom,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',ax3) ).
thf(ex1,conjecture,
iclval @ ( icl_atom @ deletefile1 ),
file('/export/starexec/sandbox/tmp/tmp.cbeJoUhp9E/E---3.1_263620.p',ex1) ).
thf(c_0_16,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_17,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_18,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_19,plain,
( icl_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X25: $i] :
( ( rel @ Z1 @ X25 )
=> ( Z0 @ X25 ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_atom]) ).
thf(c_0_20,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X12: $i] :
( ( Z0 @ Z2 @ X12 )
=> ( Z1 @ X12 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_21,plain,
( icl_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X26: $i] :
( ( rel @ Z2 @ X26 )
=> ( ~ ( Z0 @ X26 )
| ( Z1 @ X26 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_impl]) ).
thf(c_0_22,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_23,plain,
( icl_says
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X27: $i] :
( ( rel @ Z2 @ X27 )
=> ( ( Z0 @ X27 )
| ( Z1 @ X27 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[icl_says]) ).
thf(c_0_24,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(fof_simplification,[status(thm)],[icl_s4_valid]) ).
thf(c_0_25,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_26,plain,
( icl_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X25: $i] :
( ( rel @ Z1 @ X25 )
=> ( Z0 @ X25 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_27,plain,
( icl_princ
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[icl_princ]) ).
thf(c_0_28,plain,
( icl_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X26: $i] :
( ( rel @ Z2 @ X26 )
=> ( ~ ( Z0 @ X26 )
| ( Z1 @ X26 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_22]),c_0_20]) ).
thf(c_0_29,plain,
( icl_says
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X27: $i] :
( ( rel @ Z2 @ X27 )
=> ( ( Z0 @ X27 )
| ( Z1 @ X27 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23,c_0_18]),c_0_20]) ).
thf(c_0_30,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(apply_def,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_31,plain,
! [X19: $i > $o,X30: $i] :
( ~ ! [X29: $i] :
( ( rel @ X30 @ X29 )
=> ( X19 @ X29 ) )
| ( X19 @ X30 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom,c_0_22]),c_0_20]),c_0_25]) ).
thf(c_0_32,plain,
! [X45: $i,X44: $i] :
( ( rel @ X45 @ X44 )
=> ( ( admin @ X44 )
| ! [X43: $i] :
( ( rel @ X44 @ X43 )
=> ( ~ ! [X41: $i] :
( ( rel @ X43 @ X41 )
=> ( ( bob @ X41 )
| ! [X40: $i] :
( ( rel @ X41 @ X40 )
=> ( deletefile1 @ X40 ) ) ) )
| ! [X42: $i] :
( ( rel @ X43 @ X42 )
=> ( deletefile1 @ X42 ) ) ) ) ) ),
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)],[ax2,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
thf(c_0_33,plain,
! [X51: $i > $o,X52: $i] :
( ( ( rel @ X52 @ ( esk1_2 @ X51 @ X52 ) )
| ( X51 @ X52 ) )
& ( ~ ( X51 @ ( esk1_2 @ X51 @ X52 ) )
| ( X51 @ X52 ) ) ),
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_31])])])])]) ).
thf(c_0_34,plain,
! [X20: $i > $o,X34: $i] :
( ~ ! [X31: $i] :
( ( rel @ X34 @ X31 )
=> ( X20 @ X31 ) )
| ! [X33: $i] :
( ( rel @ X34 @ X33 )
=> ! [X32: $i] :
( ( rel @ X33 @ X32 )
=> ( X20 @ X32 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[trans_axiom,c_0_22]),c_0_20]),c_0_25]) ).
thf(c_0_35,plain,
! [X39: $i,X38: $i] :
( ( rel @ X39 @ X38 )
=> ( ~ ! [X36: $i] :
( ( rel @ X38 @ X36 )
=> ( ( admin @ X36 )
| ! [X35: $i] :
( ( rel @ X36 @ X35 )
=> ( deletefile1 @ X35 ) ) ) )
| ! [X37: $i] :
( ( rel @ X38 @ X37 )
=> ( deletefile1 @ X37 ) ) ) ),
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)],[ax1,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]) ).
thf(c_0_36,plain,
! [X48: $i,X47: $i] :
( ( rel @ X48 @ X47 )
=> ( ( bob @ X47 )
| ! [X46: $i] :
( ( rel @ X47 @ X46 )
=> ( deletefile1 @ X46 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ax3,c_0_26]),c_0_27]),c_0_29]),c_0_30]) ).
thf(c_0_37,plain,
! [X64: $i,X65: $i,X66: $i,X69: $i] :
( ( ( rel @ X66 @ ( esk5_3 @ X64 @ X65 @ X66 ) )
| ~ ( rel @ X66 @ X69 )
| ( deletefile1 @ X69 )
| ~ ( rel @ X65 @ X66 )
| ( admin @ X65 )
| ~ ( rel @ X64 @ X65 ) )
& ( ~ ( bob @ ( esk5_3 @ X64 @ X65 @ X66 ) )
| ~ ( rel @ X66 @ X69 )
| ( deletefile1 @ X69 )
| ~ ( rel @ X65 @ X66 )
| ( admin @ X65 )
| ~ ( rel @ X64 @ X65 ) )
& ( ( rel @ ( esk5_3 @ X64 @ X65 @ X66 ) @ ( esk6_3 @ X64 @ X65 @ X66 ) )
| ~ ( rel @ X66 @ X69 )
| ( deletefile1 @ X69 )
| ~ ( rel @ X65 @ X66 )
| ( admin @ X65 )
| ~ ( rel @ X64 @ X65 ) )
& ( ~ ( deletefile1 @ ( esk6_3 @ X64 @ X65 @ X66 ) )
| ~ ( rel @ X66 @ X69 )
| ( deletefile1 @ X69 )
| ~ ( rel @ X65 @ X66 )
| ( admin @ X65 )
| ~ ( rel @ X64 @ X65 ) ) ),
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_32])])])])])]) ).
thf(c_0_38,plain,
! [X2: $i > $o,X1: $i] :
( ( X2 @ X1 )
| ~ ( X2 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_39,plain,
! [X2: $i > $o,X1: $i] :
( ( rel @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
thf(c_0_40,plain,
! [X54: $i > $o,X55: $i,X57: $i,X58: $i] :
( ( ( rel @ X55 @ ( esk2_2 @ X54 @ X55 ) )
| ~ ( rel @ X55 @ X57 )
| ~ ( rel @ X57 @ X58 )
| ( X54 @ X58 ) )
& ( ~ ( X54 @ ( esk2_2 @ X54 @ X55 ) )
| ~ ( rel @ X55 @ X57 )
| ~ ( rel @ X57 @ X58 )
| ( X54 @ X58 ) ) ),
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_34])])])])])]) ).
thf(c_0_41,plain,
! [X59: $i,X60: $i,X63: $i] :
( ( ( rel @ X60 @ ( esk3_2 @ X59 @ X60 ) )
| ~ ( rel @ X60 @ X63 )
| ( deletefile1 @ X63 )
| ~ ( rel @ X59 @ X60 ) )
& ( ~ ( admin @ ( esk3_2 @ X59 @ X60 ) )
| ~ ( rel @ X60 @ X63 )
| ( deletefile1 @ X63 )
| ~ ( rel @ X59 @ X60 ) )
& ( ( rel @ ( esk3_2 @ X59 @ X60 ) @ ( esk4_2 @ X59 @ X60 ) )
| ~ ( rel @ X60 @ X63 )
| ( deletefile1 @ X63 )
| ~ ( rel @ X59 @ X60 ) )
& ( ~ ( deletefile1 @ ( esk4_2 @ X59 @ X60 ) )
| ~ ( rel @ X60 @ X63 )
| ( deletefile1 @ X63 )
| ~ ( rel @ X59 @ 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_35])])])])])]) ).
thf(c_0_42,negated_conjecture,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(assume_negation,[status(cth)],[ex1]) ).
thf(c_0_43,plain,
! [X70: $i,X71: $i,X72: $i] :
( ~ ( rel @ X70 @ X71 )
| ( bob @ X71 )
| ~ ( rel @ X71 @ X72 )
| ( deletefile1 @ X72 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).
thf(c_0_44,plain,
! [X1: $i,X13: $i,X12: $i,X3: $i] :
( ( rel @ ( esk5_3 @ X1 @ X3 @ X12 ) @ ( esk6_3 @ X1 @ X3 @ X12 ) )
| ( deletefile1 @ X13 )
| ( admin @ X3 )
| ~ ( rel @ X12 @ X13 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_45,plain,
! [X1: $i] : ( rel @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_46,plain,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
( ( rel @ X1 @ ( esk2_2 @ X2 @ X1 ) )
| ( X2 @ X12 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_47,plain,
! [X1: $i,X12: $i,X3: $i] :
( ( rel @ ( esk3_2 @ X1 @ X3 ) @ ( esk4_2 @ X1 @ X3 ) )
| ( deletefile1 @ X12 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_48,negated_conjecture,
~ ! [X50: $i,X49: $i] :
( ( rel @ X50 @ X49 )
=> ( deletefile1 @ X49 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_42,c_0_26]),c_0_30]) ).
thf(c_0_49,plain,
! [X1: $i,X3: $i,X12: $i] :
( ( bob @ X3 )
| ( deletefile1 @ X12 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
thf(c_0_50,plain,
! [X1: $i,X12: $i,X3: $i] :
( ( rel @ ( esk5_3 @ X1 @ X3 @ X12 ) @ ( esk6_3 @ X1 @ X3 @ X12 ) )
| ( deletefile1 @ X12 )
| ( admin @ X3 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
thf(c_0_51,plain,
! [X1: $i,X2: $i > $o,X4: $i > $o,X3: $i] :
( ( rel @ X1 @ ( esk2_2 @ X2 @ X1 ) )
| ( X2 @ ( esk1_2 @ X4 @ X3 ) )
| ( X4 @ X3 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
thf(c_0_52,plain,
! [X1: $i,X3: $i] :
( ( rel @ ( esk3_2 @ X1 @ X3 ) @ ( esk4_2 @ X1 @ X3 ) )
| ( deletefile1 @ X3 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
thf(c_0_53,negated_conjecture,
( ( rel @ esk7_0 @ esk8_0 )
& ~ ( deletefile1 @ esk8_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
thf(c_0_54,plain,
! [X1: $i,X13: $i,X12: $i,X3: $i] :
( ( deletefile1 @ ( esk6_3 @ X1 @ X3 @ X12 ) )
| ( bob @ ( esk5_3 @ X1 @ X3 @ X12 ) )
| ( admin @ X3 )
| ( deletefile1 @ X12 )
| ~ ( rel @ X13 @ ( esk5_3 @ X1 @ X3 @ X12 ) )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
thf(c_0_55,plain,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
( ( X2 @ X12 )
| ~ ( X2 @ ( esk2_2 @ X2 @ X1 ) )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_56,plain,
! [X2: $i > $o,X1: $i,X4: $i > $o,X3: $i] :
( ( rel @ ( esk3_2 @ X1 @ X3 ) @ ( esk2_2 @ X2 @ ( esk3_2 @ X1 @ X3 ) ) )
| ( X2 @ ( esk1_2 @ X4 @ ( esk4_2 @ X1 @ X3 ) ) )
| ( X4 @ ( esk4_2 @ X1 @ X3 ) )
| ( deletefile1 @ X3 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_57,negated_conjecture,
rel @ esk7_0 @ esk8_0,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
thf(c_0_58,negated_conjecture,
~ ( deletefile1 @ esk8_0 ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
thf(c_0_59,plain,
! [X1: $i,X13: $i,X12: $i,X3: $i] :
( ( deletefile1 @ X13 )
| ( admin @ X3 )
| ~ ( bob @ ( esk5_3 @ X1 @ X3 @ X12 ) )
| ~ ( rel @ X12 @ X13 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_60,plain,
! [X1: $i,X12: $i,X3: $i] :
( ( bob @ ( esk5_3 @ X1 @ X3 @ X12 ) )
| ( deletefile1 @ ( esk6_3 @ X1 @ X3 @ X12 ) )
| ( deletefile1 @ X12 )
| ( admin @ X3 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_54,c_0_45]) ).
thf(c_0_61,plain,
! [X1: $i,X13: $i,X12: $i,X3: $i] :
( ( deletefile1 @ X13 )
| ( admin @ X3 )
| ~ ( deletefile1 @ ( esk6_3 @ X1 @ X3 @ X12 ) )
| ~ ( rel @ X12 @ X13 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_62,plain,
! [X3: $i,X2: $i > $o,X1: $i] :
( ( X2 @ X1 )
| ~ ( X2 @ ( esk2_2 @ X2 @ X3 ) )
| ~ ( rel @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_45]) ).
thf(c_0_63,negated_conjecture,
! [X2: $i > $o,X4: $i > $o] :
( ( rel @ ( esk3_2 @ esk7_0 @ esk8_0 ) @ ( esk2_2 @ X2 @ ( esk3_2 @ esk7_0 @ esk8_0 ) ) )
| ( X2 @ ( esk1_2 @ X4 @ ( esk4_2 @ esk7_0 @ esk8_0 ) ) )
| ( X4 @ ( esk4_2 @ esk7_0 @ esk8_0 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
thf(c_0_64,plain,
! [X12: $i,X3: $i,X1: $i] :
( ( rel @ X1 @ ( esk3_2 @ X3 @ X1 ) )
| ( deletefile1 @ X12 )
| ~ ( rel @ X1 @ X12 )
| ~ ( rel @ X3 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_65,plain,
! [X1: $i,X3: $i,X13: $i,X12: $i] :
( ( deletefile1 @ X1 )
| ( deletefile1 @ X3 )
| ( admin @ X12 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X12 @ X1 )
| ~ ( rel @ X13 @ X12 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
thf(c_0_66,plain,
! [X1: $i,X2: $i > $o,X3: $i] :
( ( X2 @ ( esk4_2 @ X1 @ X3 ) )
| ( deletefile1 @ X3 )
| ~ ( X2 @ ( esk2_2 @ X2 @ ( esk3_2 @ X1 @ X3 ) ) )
| ~ ( rel @ X1 @ X3 ) ),
inference(spm,[status(thm)],[c_0_62,c_0_52]) ).
thf(c_0_67,negated_conjecture,
! [X2: $i > $o] :
( ( rel @ ( esk3_2 @ esk7_0 @ esk8_0 ) @ ( esk2_2 @ X2 @ ( esk3_2 @ esk7_0 @ esk8_0 ) ) )
| ( X2 @ ( esk4_2 @ esk7_0 @ esk8_0 ) ) ),
inference(spm,[status(thm)],[c_0_38,c_0_63]) ).
thf(c_0_68,plain,
! [X3: $i,X2: $i > $o,X1: $i] :
( ( rel @ X1 @ ( esk3_2 @ X3 @ X1 ) )
| ( deletefile1 @ ( esk1_2 @ X2 @ X1 ) )
| ( X2 @ X1 )
| ~ ( rel @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_64,c_0_39]) ).
thf(c_0_69,plain,
! [X12: $i,X3: $i,X1: $i] :
( ( admin @ X1 )
| ( deletefile1 @ X3 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X12 @ X1 ) ),
inference(spm,[status(thm)],[c_0_65,c_0_45]) ).
thf(c_0_70,negated_conjecture,
rel @ ( esk3_2 @ esk7_0 @ esk8_0 ) @ ( esk4_2 @ esk7_0 @ esk8_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_57])]),c_0_58]) ).
thf(c_0_71,negated_conjecture,
! [X2: $i > $o] :
( ( rel @ esk8_0 @ ( esk3_2 @ esk7_0 @ esk8_0 ) )
| ( deletefile1 @ ( esk1_2 @ X2 @ esk8_0 ) )
| ( X2 @ esk8_0 ) ),
inference(spm,[status(thm)],[c_0_68,c_0_57]) ).
thf(c_0_72,negated_conjecture,
! [X1: $i] :
( ( deletefile1 @ ( esk4_2 @ esk7_0 @ esk8_0 ) )
| ( admin @ ( esk3_2 @ esk7_0 @ esk8_0 ) )
| ~ ( rel @ X1 @ ( esk3_2 @ esk7_0 @ esk8_0 ) ) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
thf(c_0_73,negated_conjecture,
rel @ esk8_0 @ ( esk3_2 @ esk7_0 @ esk8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_71]),c_0_58]) ).
thf(c_0_74,plain,
! [X1: $i,X12: $i,X3: $i] :
( ( deletefile1 @ X12 )
| ~ ( deletefile1 @ ( esk4_2 @ X1 @ X3 ) )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_75,negated_conjecture,
( ( admin @ ( esk3_2 @ esk7_0 @ esk8_0 ) )
| ( deletefile1 @ ( esk4_2 @ esk7_0 @ esk8_0 ) ) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
thf(c_0_76,negated_conjecture,
! [X1: $i] :
( ( admin @ ( esk3_2 @ esk7_0 @ esk8_0 ) )
| ( deletefile1 @ X1 )
| ~ ( rel @ esk8_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_57])]) ).
thf(c_0_77,plain,
! [X1: $i,X12: $i,X3: $i] :
( ( deletefile1 @ X12 )
| ~ ( admin @ ( esk3_2 @ X1 @ X3 ) )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_78,negated_conjecture,
admin @ ( esk3_2 @ esk7_0 @ esk8_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_45]),c_0_58]) ).
thf(c_0_79,negated_conjecture,
! [X1: $i] :
( ( deletefile1 @ X1 )
| ~ ( rel @ esk8_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_57])]) ).
thf(c_0_80,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_45]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV428^2 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n011.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 16:02:53 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.09/0.22 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.cbeJoUhp9E/E---3.1_263620.p
% 168.22/24.82 % Version: 3.5.1-ho
% 168.22/24.82 % Preprocessing class: HSMSSMSSMLSNHSN.
% 168.22/24.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.22/24.82 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 168.22/24.82 % Starting post_as_ho3 with 300s (1) cores
% 168.22/24.82 % Starting post_as_ho11 with 300s (1) cores
% 168.22/24.82 % Starting full_lambda_8 with 300s (1) cores
% 168.22/24.82 % new_ho_10_cnf2 with pid 263633 completed with status 0
% 168.22/24.82 % Result found by new_ho_10_cnf2
% 168.22/24.82 % Preprocessing class: HSMSSMSSMLSNHSN.
% 168.22/24.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.22/24.82 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 168.22/24.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.22/24.82 % No SInE strategy applied
% 168.22/24.82 % Search class: HGUNF-FFSF32-SHSSMSBN
% 168.22/24.82 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 168.22/24.82 % Starting SubtermCWHack with 151s (1) cores
% 168.22/24.82 % Starting new_ho_10_cnf2 with 901s (1) cores
% 168.22/24.82 % Starting post_as_ho11 with 151s (1) cores
% 168.22/24.82 % Starting full_lambda_5 with 151s (1) cores
% 168.22/24.82 % Starting post_as_ho4 with 146s (1) cores
% 168.22/24.82 % new_ho_10_cnf2 with pid 263640 completed with status 0
% 168.22/24.82 % Result found by new_ho_10_cnf2
% 168.22/24.82 % Preprocessing class: HSMSSMSSMLSNHSN.
% 168.22/24.82 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.22/24.82 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 168.22/24.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.22/24.82 % No SInE strategy applied
% 168.22/24.82 % Search class: HGUNF-FFSF32-SHSSMSBN
% 168.22/24.82 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 168.22/24.82 % Starting SubtermCWHack with 151s (1) cores
% 168.22/24.82 % Starting new_ho_10_cnf2 with 901s (1) cores
% 168.22/24.82 % Preprocessing time : 0.002 s
% 168.22/24.82 % Presaturation interreduction done
% 168.22/24.82
% 168.22/24.82 % Proof found!
% 168.22/24.82 % SZS status Theorem
% 168.22/24.82 % SZS output start CNFRefutation
% See solution above
% 168.22/24.83 % Parsed axioms : 63
% 168.22/24.83 % Removed by relevancy pruning/SinE : 0
% 168.22/24.83 % Initial clauses : 48
% 168.22/24.83 % Removed in clause preprocessing : 33
% 168.22/24.83 % Initial clauses in saturation : 15
% 168.22/24.83 % Processed clauses : 5724
% 168.22/24.83 % ...of these trivial : 271
% 168.22/24.83 % ...subsumed : 2591
% 168.22/24.83 % ...remaining for further processing : 2862
% 168.22/24.83 % Other redundant clauses eliminated : 0
% 168.22/24.83 % Clauses deleted for lack of memory : 0
% 168.22/24.83 % Backward-subsumed : 501
% 168.22/24.83 % Backward-rewritten : 273
% 168.22/24.83 % Generated clauses : 433184
% 168.22/24.83 % ...of the previous two non-redundant : 405280
% 168.22/24.83 % ...aggressively subsumed : 0
% 168.22/24.83 % Contextual simplify-reflections : 7
% 168.22/24.83 % Paramodulations : 433066
% 168.22/24.83 % Factorizations : 118
% 168.22/24.83 % NegExts : 0
% 168.22/24.83 % Equation resolutions : 0
% 168.22/24.83 % Disequality decompositions : 0
% 168.22/24.83 % Total rewrite steps : 41208
% 168.22/24.83 % ...of those cached : 41117
% 168.22/24.83 % Propositional unsat checks : 0
% 168.22/24.83 % Propositional check models : 0
% 168.22/24.83 % Propositional check unsatisfiable : 0
% 168.22/24.83 % Propositional clauses : 0
% 168.22/24.83 % Propositional clauses after purity: 0
% 168.22/24.83 % Propositional unsat core size : 0
% 168.22/24.83 % Propositional preprocessing time : 0.000
% 168.22/24.83 % Propositional encoding time : 0.000
% 168.22/24.83 % Propositional solver time : 0.000
% 168.22/24.83 % Success case prop preproc time : 0.000
% 168.22/24.83 % Success case prop encoding time : 0.000
% 168.22/24.83 % Success case prop solver time : 0.000
% 168.22/24.83 % Current number of processed clauses : 2073
% 168.22/24.83 % Positive orientable unit clauses : 20
% 168.22/24.83 % Positive unorientable unit clauses: 0
% 168.22/24.83 % Negative unit clauses : 1
% 168.22/24.83 % Non-unit-clauses : 2052
% 168.22/24.83 % Current number of unprocessed clauses: 397911
% 168.22/24.83 % ...number of literals in the above : 3445196
% 168.22/24.83 % Current number of archived formulas : 0
% 168.22/24.83 % Current number of archived clauses : 789
% 168.22/24.83 % Clause-clause subsumption calls (NU) : 861689
% 168.22/24.83 % Rec. Clause-clause subsumption calls : 154348
% 168.22/24.83 % Non-unit clause-clause subsumptions : 3138
% 168.22/24.83 % Unit Clause-clause subsumption calls : 2600
% 168.22/24.83 % Rewrite failures with RHS unbound : 0
% 168.22/24.83 % BW rewrite match attempts : 19
% 168.22/24.83 % BW rewrite match successes : 14
% 168.22/24.83 % Condensation attempts : 5724
% 168.22/24.83 % Condensation successes : 48
% 168.22/24.83 % Termbank termtop insertions : 19667761
% 168.22/24.83 % Search garbage collected termcells : 986
% 168.22/24.83
% 168.22/24.83 % -------------------------------------------------
% 168.22/24.83 % User time : 23.561 s
% 168.22/24.83 % System time : 0.415 s
% 168.22/24.83 % Total time : 23.976 s
% 168.22/24.83 % Maximum resident set size: 3684 pages
% 168.22/24.83
% 168.22/24.83 % -------------------------------------------------
% 168.22/24.83 % User time : 116.320 s
% 168.22/24.83 % System time : 2.949 s
% 168.22/24.83 % Total time : 119.269 s
% 168.22/24.83 % Maximum resident set size: 4608 pages
% 168.22/24.83 % E exiting
%------------------------------------------------------------------------------