%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYO932^9 : TPTP v9.3.1. Released v3.7.0.
% 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 08:44:59 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 58 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 177 ( 28 equ; 0 cnn)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 408 ( 43 ~; 47 |; 8 &; 285 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 63 ( 63 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 23 usr; 8 con; 0-3 aty)
% Number of variables : 149 ( 60 ^; 89 !; 0 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
individuals: $tType ).
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_36,type,
mall: ( individuals > $i > $o ) > $i > $o ).
thf(decl_38,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_42,type,
reli: $i > $i > $o ).
thf(decl_43,type,
relr: $i > $i > $o ).
thf(decl_44,type,
cs4_atom: ( $i > $o ) > $i > $o ).
thf(decl_47,type,
cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_50,type,
cs4_all: ( individuals > $i > $o ) > $i > $o ).
thf(decl_51,type,
cs4_box: ( $i > $o ) > $i > $o ).
thf(decl_52,type,
cs4_valid: ( $i > $o ) > $o ).
thf(decl_53,type,
esk1_2: ( $i > $o ) > $i > $i ).
thf(decl_55,type,
esk3_2: ( $i > $o ) > $i > $i ).
thf(decl_59,type,
epred1_0: individuals > $i > $o ).
thf(decl_60,type,
esk7_0: $i ).
thf(decl_61,type,
esk8_0: $i ).
thf(decl_62,type,
esk9_0: $i ).
thf(decl_63,type,
esk10_0: individuals ).
thf(decl_64,type,
esk11_0: $i ).
thf(decl_65,type,
esk12_0: $i ).
thf(decl_66,type,
esk13_0: $i ).
thf(mimpl,axiom,
( mimpl
= ( ^ [X7: $i > $o,X8: $i > $o] : ( mor @ ( mnot @ X7 ) @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',mimpl) ).
thf(mnot,axiom,
( mnot
= ( ^ [X2: $i > $o,X3: $i] :
~ ( X2 @ X3 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',mnot) ).
thf(mor,axiom,
( mor
= ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
( ( X4 @ X3 )
| ( X5 @ X3 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',mor) ).
thf(cs4_atom,axiom,
( cs4_atom
= ( ^ [X11: $i > $o] : ( mbox @ reli @ X11 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_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.PNWj6r9w5H/E---3.1_399586.p',mbox) ).
thf(cs4_impl,axiom,
( cs4_impl
= ( ^ [X19: $i > $o,X20: $i > $o] : ( mbox @ reli @ ( mimpl @ X19 @ X20 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_impl) ).
thf(cs4_all,axiom,
( cs4_all
= ( ^ [X21: individuals > $i > $o] : ( mbox @ reli @ ( mall @ X21 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_all) ).
thf(mall,axiom,
( mall
= ( ^ [X14: individuals > $i > $o,X15: $i] :
! [X16: individuals] : ( X14 @ X16 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',mall) ).
thf(cs4_box,axiom,
( cs4_box
= ( ^ [X19: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ X19 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_box) ).
thf(cs4_valid_def,axiom,
( cs4_valid
= ( ^ [X19: $i > $o] : ( mvalid @ X19 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_valid_def) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X11: $i > $o] :
! [X15: $i] : ( X11 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',mvalid) ).
thf(cs4_cbarcan,conjecture,
! [X22: individuals > $i > $o] :
( cs4_valid
@ ( cs4_impl
@ ( cs4_box
@ ( cs4_all
@ ^ [X23: individuals] : ( cs4_atom @ ( X22 @ X23 ) ) ) )
@ ( cs4_all
@ ^ [X23: individuals] : ( cs4_box @ ( cs4_atom @ ( X22 @ X23 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',cs4_cbarcan) ).
thf(trans_axiom_i,axiom,
! [X19: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X19 ) @ ( mbox @ reli @ ( mbox @ reli @ X19 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',trans_axiom_i) ).
thf(refl_axiom_i,axiom,
! [X19: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ X19 ) @ X19 ) ),
file('/export/starexec/sandbox/tmp/tmp.PNWj6r9w5H/E---3.1_399586.p',refl_axiom_i) ).
thf(c_0_14,plain,
( mimpl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ~ ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mimpl]) ).
thf(c_0_15,plain,
( mnot
= ( ^ [Z0: $i > $o,Z1: $i] :
~ ( Z0 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mnot]) ).
thf(c_0_16,plain,
( mor
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[mor]) ).
thf(c_0_17,plain,
( cs4_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X30: $i] :
( ( reli @ Z1 @ X30 )
=> ( Z0 @ X30 ) ) ) ),
inference(fof_simplification,[status(thm)],[cs4_atom]) ).
thf(c_0_18,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_19,plain,
( cs4_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X31: $i] :
( ( reli @ Z2 @ X31 )
=> ( ~ ( Z0 @ X31 )
| ( Z1 @ X31 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[cs4_impl]) ).
thf(c_0_20,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_14,c_0_15]),c_0_16]) ).
thf(c_0_21,plain,
( cs4_all
= ( ^ [Z0: individuals > $i > $o,Z1: $i] :
! [X33: $i] :
( ( reli @ Z1 @ X33 )
=> ! [X32: individuals] : ( Z0 @ X32 @ X33 ) ) ) ),
inference(fof_simplification,[status(thm)],[cs4_all]) ).
thf(c_0_22,plain,
( mall
= ( ^ [Z0: individuals > $i > $o,Z1: $i] :
! [X16: individuals] : ( Z0 @ X16 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[mall]) ).
thf(c_0_23,plain,
( cs4_box
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X35: $i] :
( ( reli @ Z1 @ X35 )
=> ! [X34: $i] :
( ( relr @ X35 @ X34 )
=> ( Z0 @ X34 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[cs4_box]) ).
thf(c_0_24,plain,
( cs4_valid
= ( ^ [Z0: $i > $o] :
! [X36: $i] : ( Z0 @ X36 ) ) ),
inference(fof_simplification,[status(thm)],[cs4_valid_def]) ).
thf(c_0_25,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X15: $i] : ( Z0 @ X15 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_26,negated_conjecture,
~ ! [X22: individuals > $i > $o] :
( cs4_valid
@ ( cs4_impl
@ ( cs4_box
@ ( cs4_all
@ ^ [X23: individuals] : ( cs4_atom @ ( X22 @ X23 ) ) ) )
@ ( cs4_all
@ ^ [X23: individuals] : ( cs4_box @ ( cs4_atom @ ( X22 @ X23 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cs4_cbarcan]) ).
thf(c_0_27,plain,
( cs4_atom
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X30: $i] :
( ( reli @ Z1 @ X30 )
=> ( Z0 @ X30 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_28,plain,
( cs4_impl
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
! [X31: $i] :
( ( reli @ Z2 @ X31 )
=> ( ~ ( Z0 @ X31 )
| ( Z1 @ X31 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19,c_0_20]),c_0_18]) ).
thf(c_0_29,plain,
( cs4_all
= ( ^ [Z0: individuals > $i > $o,Z1: $i] :
! [X33: $i] :
( ( reli @ Z1 @ X33 )
=> ! [X32: individuals] : ( Z0 @ X32 @ X33 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21,c_0_18]),c_0_22]) ).
thf(c_0_30,plain,
( cs4_box
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X35: $i] :
( ( reli @ Z1 @ X35 )
=> ! [X34: $i] :
( ( relr @ X35 @ X34 )
=> ( Z0 @ X34 ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_23,c_0_18]) ).
thf(c_0_31,plain,
( cs4_valid
= ( ^ [Z0: $i > $o] :
! [X36: $i] : ( Z0 @ X36 ) ) ),
inference(apply_def,[status(thm)],[c_0_24,c_0_25]) ).
thf(c_0_32,plain,
! [X19: $i > $o,X44: $i] :
( ~ ! [X41: $i] :
( ( reli @ X44 @ X41 )
=> ( X19 @ X41 ) )
| ! [X43: $i] :
( ( reli @ X44 @ X43 )
=> ! [X42: $i] :
( ( reli @ X43 @ X42 )
=> ( X19 @ X42 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[trans_axiom_i,c_0_20]),c_0_18]),c_0_25]) ).
thf(c_0_33,negated_conjecture,
~ ! [X22: individuals > $i > $o,X65: $i,X64: $i] :
( ( reli @ X65 @ X64 )
=> ( ~ ! [X57: $i] :
( ( reli @ X64 @ X57 )
=> ! [X58: $i] :
( ( relr @ X57 @ X58 )
=> ! [X55: $i] :
( ( reli @ X58 @ X55 )
=> ! [X56: individuals,X54: $i] :
( ( reli @ X55 @ X54 )
=> ( X22 @ X56 @ X54 ) ) ) ) )
| ! [X62: $i] :
( ( reli @ X64 @ X62 )
=> ! [X63: individuals,X60: $i] :
( ( reli @ X62 @ X60 )
=> ! [X61: $i] :
( ( relr @ X60 @ X61 )
=> ! [X59: $i] :
( ( reli @ X61 @ X59 )
=> ( X22 @ X63 @ X59 ) ) ) ) ) ) ),
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_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).
thf(c_0_34,plain,
! [X72: $i > $o,X73: $i,X75: $i,X76: $i] :
( ( ( reli @ X73 @ ( esk3_2 @ X72 @ X73 ) )
| ~ ( reli @ X73 @ X75 )
| ~ ( reli @ X75 @ X76 )
| ( X72 @ X76 ) )
& ( ~ ( X72 @ ( esk3_2 @ X72 @ X73 ) )
| ~ ( reli @ X73 @ X75 )
| ~ ( reli @ X75 @ X76 )
| ( X72 @ X76 ) ) ),
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_35,negated_conjecture,
! [X91: $i,X92: $i,X93: $i,X94: individuals,X95: $i] :
( ( reli @ esk7_0 @ esk8_0 )
& ( ~ ( reli @ esk8_0 @ X91 )
| ~ ( relr @ X91 @ X92 )
| ~ ( reli @ X92 @ X93 )
| ~ ( reli @ X93 @ X95 )
| ( epred1_0 @ X94 @ X95 ) )
& ( reli @ esk8_0 @ esk9_0 )
& ( reli @ esk9_0 @ esk11_0 )
& ( relr @ esk11_0 @ esk12_0 )
& ( reli @ esk12_0 @ esk13_0 )
& ~ ( epred1_0 @ esk10_0 @ esk13_0 ) ),
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_33])])])])]) ).
thf(c_0_36,plain,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
( ( reli @ X1 @ ( esk3_2 @ X2 @ X1 ) )
| ( X2 @ X12 )
| ~ ( reli @ X1 @ X3 )
| ~ ( reli @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_37,negated_conjecture,
reli @ esk9_0 @ esk11_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_38,negated_conjecture,
! [X2: $i > $o,X1: $i] :
( ( reli @ X1 @ ( esk3_2 @ X2 @ X1 ) )
| ( X2 @ esk11_0 )
| ~ ( reli @ X1 @ esk9_0 ) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
thf(c_0_39,negated_conjecture,
reli @ esk8_0 @ esk9_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_40,plain,
! [X1: $i,X2: $i > $o,X3: $i,X12: $i] :
( ( X2 @ X12 )
| ~ ( X2 @ ( esk3_2 @ X2 @ X1 ) )
| ~ ( reli @ X1 @ X3 )
| ~ ( reli @ X3 @ X12 ) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_41,negated_conjecture,
! [X2: $i > $o] :
( ( reli @ esk8_0 @ ( esk3_2 @ X2 @ esk8_0 ) )
| ( X2 @ esk11_0 ) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
thf(c_0_42,negated_conjecture,
! [X3: $i,X1: $i] :
( ( reli @ esk8_0 @ esk11_0 )
| ( reli @ esk8_0 @ X1 )
| ~ ( reli @ esk8_0 @ X3 )
| ~ ( reli @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i] :
( ( reli @ esk8_0 @ esk11_0 )
| ( reli @ esk8_0 @ X1 )
| ~ ( reli @ esk9_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_42,c_0_39]) ).
thf(c_0_44,plain,
! [X19: $i > $o,X38: $i] :
( ~ ! [X37: $i] :
( ( reli @ X38 @ X37 )
=> ( X19 @ X37 ) )
| ( X19 @ X38 ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[refl_axiom_i,c_0_20]),c_0_18]),c_0_25]) ).
thf(c_0_45,negated_conjecture,
! [X1: $i,X3: $i,X12: $i,X16: individuals,X13: $i] :
( ( epred1_0 @ X16 @ X13 )
| ~ ( reli @ esk8_0 @ X1 )
| ~ ( relr @ X1 @ X3 )
| ~ ( reli @ X3 @ X12 )
| ~ ( reli @ X12 @ X13 ) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_46,negated_conjecture,
reli @ esk8_0 @ esk11_0,
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
thf(c_0_47,plain,
! [X66: $i > $o,X67: $i] :
( ( ( reli @ X67 @ ( esk1_2 @ X66 @ X67 ) )
| ( X66 @ X67 ) )
& ( ~ ( X66 @ ( esk1_2 @ X66 @ X67 ) )
| ( X66 @ X67 ) ) ),
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_44])])])])]) ).
thf(c_0_48,negated_conjecture,
! [X1: $i,X3: $i,X16: individuals,X12: $i] :
( ( epred1_0 @ X16 @ X1 )
| ~ ( relr @ esk11_0 @ X3 )
| ~ ( reli @ X12 @ X1 )
| ~ ( reli @ X3 @ X12 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_49,negated_conjecture,
relr @ esk11_0 @ esk12_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_50,plain,
! [X2: $i > $o,X1: $i] :
( ( X2 @ X1 )
| ~ ( X2 @ ( esk1_2 @ X2 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_51,plain,
! [X2: $i > $o,X1: $i] :
( ( reli @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ( X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
thf(c_0_52,negated_conjecture,
! [X16: individuals,X3: $i,X1: $i] :
( ( epred1_0 @ X16 @ X1 )
| ~ ( reli @ esk12_0 @ X3 )
| ~ ( reli @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
thf(c_0_53,plain,
! [X1: $i] : ( reli @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
thf(c_0_54,negated_conjecture,
~ ( epred1_0 @ esk10_0 @ esk13_0 ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_55,negated_conjecture,
! [X16: individuals,X1: $i] :
( ( epred1_0 @ X16 @ X1 )
| ~ ( reli @ esk12_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_56,negated_conjecture,
reli @ esk12_0 @ esk13_0,
inference(split_conjunct,[status(thm)],[c_0_35]) ).
thf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO932^9 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n011.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 17:28:31 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.08/0.24 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.PNWj6r9w5H/E---3.1_399586.p
% 0.21/0.28 % Version: 3.5.1-ho
% 0.21/0.28 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.28 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.21/0.28 % Starting almost_fo_3_lam with 300s (1) cores
% 0.21/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.21/0.28 % ho_unfolding_3 with pid 399617 completed with status 0
% 0.21/0.28 % Result found by ho_unfolding_3
% 0.21/0.28 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.28 % No SInE strategy applied
% 0.21/0.28 % Search class: HGUNF-FFSS22-SHSSMMBN
% 0.21/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.28 % Starting ho_unfolding_3 with 151s (1) cores
% 0.21/0.28 % Starting sh5l with 136s (1) cores
% 0.21/0.28 % Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.21/0.28 % Starting lpo1_def_fix with 136s (1) cores
% 0.21/0.28 % ho_unfolding_3 with pid 399627 completed with status 0
% 0.21/0.28 % Result found by ho_unfolding_3
% 0.21/0.28 % Preprocessing class: HSMSSMSSMLMNHSN.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.21/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.28 % No SInE strategy applied
% 0.21/0.28 % Search class: HGUNF-FFSS22-SHSSMMBN
% 0.21/0.28 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.28 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.28 % Starting ho_unfolding_3 with 151s (1) cores
% 0.21/0.28 % Preprocessing time : 0.002 s
% 0.21/0.28 % Presaturation interreduction done
% 0.21/0.28
% 0.21/0.28 % Proof found!
% 0.21/0.28 % SZS status Theorem
% 0.21/0.28 % SZS output start CNFRefutation
% See solution above
% 0.21/0.28 % Parsed axioms : 61
% 0.21/0.28 % Removed by relevancy pruning/SinE : 0
% 0.21/0.28 % Initial clauses : 49
% 0.21/0.28 % Removed in clause preprocessing : 31
% 0.21/0.28 % Initial clauses in saturation : 18
% 0.21/0.28 % Processed clauses : 91
% 0.21/0.28 % ...of these trivial : 0
% 0.21/0.28 % ...subsumed : 7
% 0.21/0.28 % ...remaining for further processing : 84
% 0.21/0.28 % Other redundant clauses eliminated : 0
% 0.21/0.28 % Clauses deleted for lack of memory : 0
% 0.21/0.28 % Backward-subsumed : 0
% 0.21/0.28 % Backward-rewritten : 2
% 0.21/0.28 % Generated clauses : 197
% 0.21/0.28 % ...of the previous two non-redundant : 179
% 0.21/0.28 % ...aggressively subsumed : 0
% 0.21/0.28 % Contextual simplify-reflections : 0
% 0.21/0.28 % Paramodulations : 190
% 0.21/0.28 % Factorizations : 0
% 0.21/0.28 % NegExts : 0
% 0.21/0.28 % Equation resolutions : 0
% 0.21/0.28 % Disequality decompositions : 0
% 0.21/0.28 % Total rewrite steps : 19
% 0.21/0.28 % ...of those cached : 10
% 0.21/0.28 % Propositional unsat checks : 0
% 0.21/0.28 % Propositional check models : 0
% 0.21/0.28 % Propositional check unsatisfiable : 0
% 0.21/0.28 % Propositional clauses : 0
% 0.21/0.28 % Propositional clauses after purity: 0
% 0.21/0.28 % Propositional unsat core size : 0
% 0.21/0.28 % Propositional preprocessing time : 0.000
% 0.21/0.28 % Propositional encoding time : 0.000
% 0.21/0.28 % Propositional solver time : 0.000
% 0.21/0.28 % Success case prop preproc time : 0.000
% 0.21/0.28 % Success case prop encoding time : 0.000
% 0.21/0.28 % Success case prop solver time : 0.000
% 0.21/0.28 % Current number of processed clauses : 64
% 0.21/0.28 % Positive orientable unit clauses : 13
% 0.21/0.28 % Positive unorientable unit clauses: 0
% 0.21/0.28 % Negative unit clauses : 4
% 0.21/0.28 % Non-unit-clauses : 47
% 0.21/0.28 % Current number of unprocessed clauses: 119
% 0.21/0.28 % ...number of literals in the above : 403
% 0.21/0.28 % Current number of archived formulas : 0
% 0.21/0.28 % Current number of archived clauses : 20
% 0.21/0.28 % Clause-clause subsumption calls (NU) : 846
% 0.21/0.28 % Rec. Clause-clause subsumption calls : 555
% 0.21/0.28 % Non-unit clause-clause subsumptions : 7
% 0.21/0.28 % Unit Clause-clause subsumption calls : 44
% 0.21/0.28 % Rewrite failures with RHS unbound : 0
% 0.21/0.28 % BW rewrite match attempts : 13
% 0.21/0.28 % BW rewrite match successes : 1
% 0.21/0.28 % Condensation attempts : 91
% 0.21/0.28 % Condensation successes : 0
% 0.21/0.28 % Termbank termtop insertions : 9020
% 0.21/0.28 % Search garbage collected termcells : 1385
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.015 s
% 0.21/0.28 % System time : 0.006 s
% 0.21/0.28 % Total time : 0.021 s
% 0.21/0.28 % Maximum resident set size: 3940 pages
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.054 s
% 0.21/0.28 % System time : 0.020 s
% 0.21/0.28 % Total time : 0.074 s
% 0.21/0.28 % Maximum resident set size: 4864 pages
% 0.21/0.28 % E exiting
%------------------------------------------------------------------------------