%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWV436^4 : 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 : n017.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 08:39:44 AM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 63 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 209 ( 29 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 401 ( 66 ~; 69 |; 2 &; 245 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% Number of symbols : 22 ( 19 usr; 4 con; 0-3 aty)
% Number of variables : 136 ( 56 ^; 80 !; 0 ?; 136 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_27,type,
mfalse: $i > $o ).
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_49,type,
icl_false: $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_57,type,
esk3_0: $i ).
thf(decl_58,type,
esk4_0: $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',mor) ).
thf(icl_atom,axiom,
( icl_atom
= ( ^ [X11: $i > $o] : ( mbox @ rel @ X11 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.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.2F4xSBbEQF/E---3.1_510211.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.2F4xSBbEQF/E---3.1_510211.p',icl_impl) ).
thf(mfalse,axiom,
( mfalse
= ( ^ [X1: $i] : ~ $true ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',mfalse) ).
thf(icl_says,axiom,
( icl_says
= ( ^ [X19: $i > $o,X21: $i > $o] : ( mbox @ rel @ ( mor @ X19 @ X21 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',icl_says) ).
thf(icl_s4_valid,axiom,
( iclval
= ( ^ [X22: $i > $o] : ( mvalid @ X22 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',icl_s4_valid) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',mvalid) ).
thf(icl_princ,axiom,
( icl_princ
= ( ^ [X11: $i > $o] : X11 ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',icl_princ) ).
thf(icl_false,axiom,
( icl_false
= ( ^ [Z0: $i] : ~ $true ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',icl_false) ).
thf(ax1,axiom,
iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',ax1) ).
thf(ex3,conjecture,
iclval @ ( icl_atom @ deletefile1 ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',ex3) ).
thf(ax2,axiom,
iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',ax2) ).
thf(ax3,axiom,
iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',ax3) ).
thf(refl_axiom,axiom,
! [X19: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ X19 ) @ X19 ) ),
file('/export/starexec/sandbox/tmp/tmp.2F4xSBbEQF/E---3.1_510211.p',refl_axiom) ).
thf(c_0_17,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_18,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_19,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_20,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_21,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_22,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_23,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_17,c_0_18]),c_0_19]) ).
thf(c_0_24,plain,
( mfalse
= ( ^ [Z0: $i] : ~ $true ) ),
inference(fof_simplification,[status(thm)],[mfalse]) ).
thf(c_0_25,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_26,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(fof_simplification,[status(thm)],[icl_s4_valid]) ).
thf(c_0_27,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_28,plain,
( icl_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X25: $i] :
( ( rel @ Z1 @ X25 )
=> ( Z0 @ X25 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_29,plain,
( icl_princ
= ( ^ [Z0: $i > $o] : Z0 ) ),
inference(fof_simplification,[status(thm)],[icl_princ]) ).
thf(c_0_30,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_22,c_0_23]),c_0_21]) ).
thf(c_0_31,axiom,
( icl_false
= ( ^ [Z0: $i] : ~ $true ) ),
inference(apply_def,[status(thm)],[icl_false,c_0_24]) ).
thf(c_0_32,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_25,c_0_19]),c_0_21]) ).
thf(c_0_33,plain,
( iclval
= ( ^ [Z0: $i > $o] :
! [X28: $i] : ( Z0 @ X28 ) ) ),
inference(apply_def,[status(thm)],[c_0_26,c_0_27]) ).
thf(c_0_34,plain,
! [X38: $i,X37: $i] :
( ( rel @ X38 @ X37 )
=> ( ! [X35: $i] :
( ( rel @ X37 @ X35 )
=> ( ~ ( admin @ X35 )
| ~ $true ) )
| ! [X36: $i] :
( ( rel @ X37 @ X36 )
=> ( deletefile1 @ X36 ) ) ) ),
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)],[ax1,c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33])]) ).
thf(c_0_35,negated_conjecture,
~ ( iclval @ ( icl_atom @ deletefile1 ) ),
inference(assume_negation,[status(cth)],[ex3]) ).
thf(c_0_36,plain,
! [X43: $i,X42: $i] :
( ( rel @ X43 @ X42 )
=> ( ( admin @ X42 )
| ! [X41: $i] :
( ( rel @ X42 @ X41 )
=> ( ! [X39: $i] :
( ( rel @ X41 @ X39 )
=> ( ~ ( bob @ X39 )
| ( admin @ X39 ) ) )
| ! [X40: $i] :
( ( rel @ X41 @ X40 )
=> ( deletefile1 @ X40 ) ) ) ) ) ),
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)],[ax2,c_0_28]),c_0_29]),c_0_30]),c_0_32]),c_0_33])]) ).
thf(c_0_37,plain,
! [X57: $i,X58: $i,X59: $i,X60: $i] :
( ~ ( rel @ X57 @ X58 )
| ~ ( rel @ X58 @ X59 )
| ~ ( admin @ X59 )
| ~ $true
| ~ ( rel @ X58 @ X60 )
| ( deletefile1 @ X60 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
thf(c_0_38,plain,
! [X46: $i,X45: $i] :
( ( rel @ X46 @ X45 )
=> ( ( bob @ X45 )
| ! [X44: $i] :
( ( rel @ X45 @ X44 )
=> ( deletefile1 @ X44 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[ax3,c_0_28]),c_0_29]),c_0_32]),c_0_33]) ).
thf(c_0_39,negated_conjecture,
~ ! [X48: $i,X47: $i] :
( ( rel @ X48 @ X47 )
=> ( deletefile1 @ X47 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35,c_0_28]),c_0_33]) ).
thf(c_0_40,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_23]),c_0_21]),c_0_27]) ).
thf(c_0_41,plain,
! [X61: $i,X62: $i,X63: $i,X64: $i,X65: $i] :
( ~ ( rel @ X61 @ X62 )
| ( admin @ X62 )
| ~ ( rel @ X62 @ X63 )
| ~ ( rel @ X63 @ X64 )
| ~ ( bob @ X64 )
| ( admin @ X64 )
| ~ ( rel @ X63 @ X65 )
| ( deletefile1 @ X65 ) ),
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_42,plain,
! [X1: $i,X3: $i,X12: $i,X13: $i] :
( ( deletefile1 @ X13 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 )
| ~ ( admin @ X12 )
| ~ $true
| ~ ( rel @ X3 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
thf(c_0_43,plain,
! [X66: $i,X67: $i,X68: $i] :
( ~ ( rel @ X66 @ X67 )
| ( bob @ X67 )
| ~ ( rel @ X67 @ X68 )
| ( deletefile1 @ X68 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
thf(c_0_44,negated_conjecture,
( ( rel @ esk3_0 @ esk4_0 )
& ~ ( deletefile1 @ esk4_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
thf(c_0_45,plain,
! [X49: $i > $o,X50: $i] :
( ( ( rel @ X50 @ ( esk1_2 @ X49 @ X50 ) )
| ( X49 @ X50 ) )
& ( ~ ( X49 @ ( esk1_2 @ X49 @ X50 ) )
| ( X49 @ 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_40])])])])]) ).
thf(c_0_46,plain,
! [X1: $i,X3: $i,X13: $i,X12: $i,X15: $i] :
( ( admin @ X3 )
| ( admin @ X13 )
| ( deletefile1 @ X15 )
| ~ ( rel @ X1 @ X3 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X12 @ X13 )
| ~ ( bob @ X13 )
| ~ ( rel @ X12 @ X15 ) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
thf(c_0_47,plain,
! [X1: $i,X13: $i,X12: $i,X3: $i] :
( ( deletefile1 @ X13 )
| ~ ( admin @ X12 )
| ~ ( rel @ X3 @ X13 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X1 @ X3 ) ),
inference(cn,[status(thm)],[c_0_42]) ).
thf(c_0_48,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_49,negated_conjecture,
rel @ esk3_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_50,negated_conjecture,
~ ( deletefile1 @ esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
thf(c_0_51,plain,
! [X2: $i > $o,X1: $i] :
( ( X2 @ X1 )
| ~ ( X2 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_52,plain,
! [X2: $i > $o,X1: $i] :
( ( rel @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
thf(c_0_53,plain,
! [X1: $i,X3: $i,X12: $i,X15: $i,X13: $i] :
( ( deletefile1 @ X1 )
| ( admin @ X3 )
| ~ ( rel @ X12 @ X1 )
| ~ ( rel @ X12 @ X13 )
| ~ ( rel @ X3 @ X12 )
| ~ ( rel @ X15 @ X3 )
| ~ ( bob @ X13 ) ),
inference(csr,[status(thm)],[c_0_46,c_0_47]) ).
thf(c_0_54,negated_conjecture,
! [X1: $i] :
( ( bob @ esk3_0 )
| ~ ( rel @ X1 @ esk3_0 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
thf(c_0_55,plain,
! [X1: $i] : ( rel @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
thf(c_0_56,negated_conjecture,
! [X1: $i,X12: $i,X3: $i] :
( ( admin @ X1 )
| ~ ( rel @ esk3_0 @ X3 )
| ~ ( rel @ X1 @ esk3_0 )
| ~ ( rel @ X12 @ X1 )
| ~ ( bob @ X3 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_49]),c_0_50]) ).
thf(c_0_57,negated_conjecture,
bob @ esk3_0,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
thf(c_0_58,negated_conjecture,
! [X3: $i,X1: $i] :
( ~ ( rel @ esk3_0 @ X1 )
| ~ ( rel @ X3 @ esk3_0 )
| ~ ( admin @ X1 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_49]),c_0_50]) ).
thf(c_0_59,negated_conjecture,
! [X3: $i,X1: $i] :
( ( admin @ X1 )
| ~ ( rel @ X1 @ esk3_0 )
| ~ ( rel @ X3 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_55]),c_0_57])]) ).
thf(c_0_60,negated_conjecture,
! [X1: $i] :
( ~ ( rel @ X1 @ esk3_0 )
| ~ ( admin @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_58,c_0_55]) ).
thf(c_0_61,negated_conjecture,
! [X1: $i] :
~ ( rel @ X1 @ esk3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_60]) ).
thf(c_0_62,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_61,c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV436^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n017.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 15:59:22 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.22 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.2F4xSBbEQF/E---3.1_510211.p
% 0.08/0.24 % Version: 3.5.1-ho
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % Starting post_as_ho3 with 300s (1) cores
% 0.08/0.24 % Starting post_as_ho11 with 300s (1) cores
% 0.08/0.24 % Starting full_lambda_8 with 300s (1) cores
% 0.08/0.24 % new_ho_10_cnf2 with pid 510224 completed with status 0
% 0.08/0.24 % Result found by new_ho_10_cnf2
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGUNF-FFSF22-SHSSMSBN
% 0.08/0.24 % partial match(1): HGUNF-FFSS22-SHSSMSBN
% 0.08/0.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.24 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.24 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.08/0.24 % Starting sh5l with 136s (1) cores
% 0.08/0.24 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.08/0.24 % Starting lpo1_def_fix with 136s (1) cores
% 0.08/0.24 % lpo1_def_fix with pid 510232 completed with status 0
% 0.08/0.24 % Result found by lpo1_def_fix
% 0.08/0.24 % Preprocessing class: HSMSSMSSMLSNHSN.
% 0.08/0.24 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.24 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.08/0.24 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.24 % No SInE strategy applied
% 0.08/0.24 % Search class: HGUNF-FFSF22-SHSSMSBN
% 0.08/0.24 % partial match(1): HGUNF-FFSS22-SHSSMSBN
% 0.08/0.24 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.24 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.24 % Starting new_ho_10_cnf2 with 151s (1) cores
% 0.08/0.24 % Starting sh5l with 136s (1) cores
% 0.08/0.24 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.08/0.24 % Starting lpo1_def_fix with 136s (1) cores
% 0.08/0.24 % Preprocessing time : 0.001 s
% 0.08/0.24 % Presaturation interreduction done
% 0.08/0.24
% 0.08/0.24 % Proof found!
% 0.08/0.24 % SZS status Theorem
% 0.08/0.24 % SZS output start CNFRefutation
% See solution above
% 0.08/0.24 % Parsed axioms : 63
% 0.08/0.24 % Removed by relevancy pruning/SinE : 0
% 0.08/0.24 % Initial clauses : 42
% 0.08/0.24 % Removed in clause preprocessing : 33
% 0.08/0.24 % Initial clauses in saturation : 9
% 0.08/0.24 % Processed clauses : 44
% 0.08/0.24 % ...of these trivial : 0
% 0.08/0.24 % ...subsumed : 3
% 0.08/0.24 % ...remaining for further processing : 41
% 0.08/0.24 % Other redundant clauses eliminated : 0
% 0.08/0.24 % Clauses deleted for lack of memory : 0
% 0.08/0.24 % Backward-subsumed : 11
% 0.08/0.24 % Backward-rewritten : 1
% 0.08/0.24 % Generated clauses : 62
% 0.08/0.24 % ...of the previous two non-redundant : 53
% 0.08/0.24 % ...aggressively subsumed : 0
% 0.08/0.24 % Contextual simplify-reflections : 2
% 0.08/0.24 % Paramodulations : 52
% 0.08/0.24 % Factorizations : 0
% 0.08/0.24 % NegExts : 0
% 0.08/0.24 % Equation resolutions : 0
% 0.08/0.24 % Disequality decompositions : 0
% 0.08/0.24 % Total rewrite steps : 5
% 0.08/0.24 % ...of those cached : 2
% 0.08/0.24 % Propositional unsat checks : 0
% 0.08/0.24 % Propositional check models : 0
% 0.08/0.24 % Propositional check unsatisfiable : 0
% 0.08/0.24 % Propositional clauses : 0
% 0.08/0.24 % Propositional clauses after purity: 0
% 0.08/0.24 % Propositional unsat core size : 0
% 0.08/0.24 % Propositional preprocessing time : 0.000
% 0.08/0.24 % Propositional encoding time : 0.000
% 0.08/0.24 % Propositional solver time : 0.000
% 0.08/0.24 % Success case prop preproc time : 0.000
% 0.08/0.24 % Success case prop encoding time : 0.000
% 0.08/0.24 % Success case prop solver time : 0.000
% 0.08/0.24 % Current number of processed clauses : 20
% 0.08/0.24 % Positive orientable unit clauses : 5
% 0.08/0.24 % Positive unorientable unit clauses: 0
% 0.08/0.24 % Negative unit clauses : 3
% 0.08/0.24 % Non-unit-clauses : 12
% 0.08/0.24 % Current number of unprocessed clauses: 27
% 0.08/0.24 % ...number of literals in the above : 108
% 0.08/0.24 % Current number of archived formulas : 0
% 0.08/0.24 % Current number of archived clauses : 21
% 0.08/0.24 % Clause-clause subsumption calls (NU) : 98
% 0.08/0.24 % Rec. Clause-clause subsumption calls : 40
% 0.08/0.24 % Non-unit clause-clause subsumptions : 6
% 0.08/0.24 % Unit Clause-clause subsumption calls : 15
% 0.08/0.24 % Rewrite failures with RHS unbound : 0
% 0.08/0.24 % BW rewrite match attempts : 6
% 0.08/0.24 % BW rewrite match successes : 1
% 0.08/0.24 % Condensation attempts : 0
% 0.08/0.24 % Condensation successes : 0
% 0.08/0.24 % Termbank termtop insertions : 4228
% 0.08/0.24 % Search garbage collected termcells : 833
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.006 s
% 0.08/0.24 % System time : 0.001 s
% 0.08/0.24 % Total time : 0.007 s
% 0.08/0.24 % Maximum resident set size: 3684 pages
% 0.08/0.24
% 0.08/0.24 % -------------------------------------------------
% 0.08/0.24 % User time : 0.026 s
% 0.08/0.24 % System time : 0.012 s
% 0.08/0.24 % Total time : 0.038 s
% 0.08/0.24 % Maximum resident set size: 4864 pages
% 0.08/0.24 % E exiting
%------------------------------------------------------------------------------