%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR144^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 07:46:39 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 248 ( 0 equ; 0 cnn)
% Maximal formula atoms : 140 ( 7 avg)
% Number of connectives : 580 ( 93 ~; 100 |; 32 &; 352 @)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 ^; 39 !; 7 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_26,type,
believes_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_28,type,
considers_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_52,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_53,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_61,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(decl_85,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(decl_89,type,
lMax_THFTYPE_i: $i ).
thf(decl_154,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_155,type,
esk1_2: $o > $i > $i ).
thf(decl_158,type,
esk4_1: ( $i > $i > $o ) > $i ).
thf(con,conjecture,
? [X7: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',con) ).
thf(ax_088,axiom,
! [X5: $i] :
~ ? [X7: $i] : ( holdsDuring_THFTYPE_IiooI @ X7 @ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( wife_THFTYPE_IiioI @ X5 @ lMax_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',ax_088) ).
thf(ax_058,axiom,
! [X56: $o,X33: $i] :
( ( believes_THFTYPE_IiooI @ X33 @ X56 )
=> ? [X11: $i] : ( holdsDuring_THFTYPE_IiooI @ X11 @ ( considers_THFTYPE_IiooI @ X33 @ X56 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',ax_058) ).
thf(ax_029,axiom,
! [X1: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i )
<=> ! [X41: $i] :
~ ( X1 @ X41 @ X41 ) ),
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',ax_029) ).
thf(ax_267,axiom,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',ax_267) ).
thf(ax_162,axiom,
instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p',ax_162) ).
thf(c_0_6,negated_conjecture,
~ ? [X7: $i] :
~ ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,axiom,
! [X5: $i] :
~ ? [X7: $i] :
( ( ( ( ~ ( wife_THFTYPE_IiioI @ X5 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( wife_THFTYPE_IiioI @ X5 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) )
| ( holdsDuring_THFTYPE_IiooI @ X7 @ $true ) )
& ( ( ( ~ ( wife_THFTYPE_IiioI @ X5 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( wife_THFTYPE_IiioI @ X5 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) )
| ( holdsDuring_THFTYPE_IiooI @ X7 @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_088]) ).
thf(c_0_8,axiom,
! [X56: $o,X33: $i] :
( ( believes_THFTYPE_IiooI @ X33 @ X56 )
=> ? [X11: $i] :
( ( ~ ( considers_THFTYPE_IiooI @ X33 @ X56 )
| ( holdsDuring_THFTYPE_IiooI @ X11 @ $true ) )
& ( ( considers_THFTYPE_IiooI @ X33 @ X56 )
| ( holdsDuring_THFTYPE_IiooI @ X11 @ $false ) ) ) ),
inference(fool_unroll,[status(thm)],[ax_058]) ).
thf(c_0_9,plain,
! [X288: $i > $i > $o,X289: $i,X290: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ X288 @ lIrreflexiveRelation_THFTYPE_i )
| ~ ( X288 @ X289 @ X289 ) )
& ( ( X290 @ ( esk4_1 @ X290 ) @ ( esk4_1 @ X290 ) )
| ( instance_THFTYPE_IIiioIioI @ X290 @ lIrreflexiveRelation_THFTYPE_i ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_029])])])])])]) ).
thf(c_0_10,negated_conjecture,
~ ? [X7: $i] :
~ ( ( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X7 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_6]) ).
thf(c_0_11,plain,
! [X255: $i,X256: $i] :
( ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $false )
| ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $true ) )
& ( ~ ( wife_THFTYPE_IiioI @ X255 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $true ) )
& ( ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X256 @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
thf(c_0_12,plain,
! [X252: $o,X253: $i] :
( ( ~ ( considers_THFTYPE_IiooI @ X253 @ X252 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X252 @ X253 ) @ $true )
| ~ ( believes_THFTYPE_IiooI @ X253 @ X252 ) )
& ( ( considers_THFTYPE_IiooI @ X253 @ X252 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X252 @ X253 ) @ $false )
| ~ ( believes_THFTYPE_IiooI @ X253 @ X252 ) ) ),
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_8])])])])]) ).
thf(c_0_13,plain,
! [X1: $i > $i > $o,X2: $i] :
( ~ ( instance_THFTYPE_IIiioIioI @ X1 @ lIrreflexiveRelation_THFTYPE_i )
| ~ ( X1 @ X2 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_267]) ).
thf(c_0_15,negated_conjecture,
! [X249: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X249 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $true ) )
& ( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X249 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ $false ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
thf(c_0_16,plain,
! [X3: $i,X2: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X3 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X2 @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,plain,
! [X2: $i,X34: $o] :
( ( considers_THFTYPE_IiooI @ X2 @ X34 )
| ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X34 @ X2 ) @ ~ $true )
| ~ ( believes_THFTYPE_IiooI @ X2 @ X34 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X2: $i] :
~ ( husband_THFTYPE_IiioI @ X2 @ X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,negated_conjecture,
! [X2: $i] :
( ( husband_THFTYPE_IiioI @ lMax_THFTYPE_i @ X2 )
| ( believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
instance_THFTYPE_IIiioIioI @ wife_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_162]) ).
thf(c_0_21,plain,
! [X2: $i,X3: $i,X34: $o] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i )
| ( considers_THFTYPE_IiooI @ X3 @ X34 )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X34 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,negated_conjecture,
believes_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true,
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,plain,
! [X2: $i] :
~ ( wife_THFTYPE_IiioI @ X2 @ X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
thf(c_0_24,negated_conjecture,
! [X2: $i] :
( ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_25,plain,
! [X2: $i,X3: $i] :
( ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i )
| ~ ( considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_26,negated_conjecture,
considers_THFTYPE_IiooI @ lMax_THFTYPE_i @ ~ $true,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_27,plain,
! [X2: $i,X3: $i] :
( ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ X3 @ $true ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
thf(c_0_28,plain,
! [X2: $i,X34: $o] :
( ( holdsDuring_THFTYPE_IiooI @ ( esk1_2 @ X34 @ X2 ) @ $true )
| ~ ( considers_THFTYPE_IiooI @ X2 @ X34 )
| ~ ( believes_THFTYPE_IiooI @ X2 @ X34 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_29,plain,
! [X2: $i,X3: $i,X34: $o] :
( ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i )
| ~ ( believes_THFTYPE_IiooI @ X3 @ X34 )
| ~ ( considers_THFTYPE_IiooI @ X3 @ X34 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_30,negated_conjecture,
! [X2: $i] : ( wife_THFTYPE_IiioI @ X2 @ lMax_THFTYPE_i ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_22]),c_0_26])]) ).
thf(c_0_31,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_23,c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR144^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n020.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 17:57:49 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.20/0.27 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.VdMLIZFVDV/E---3.1_1392937.p
% 0.20/0.36 % Version: 3.5.1-ho
% 0.20/0.36 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_10 with 300s (1) cores
% 0.20/0.36 % Starting new_bool_6 with 300s (1) cores
% 0.20/0.36 % Starting lpo8_s with 300s (1) cores
% 0.20/0.36 % lpo8_s with pid 1392982 completed with status 0
% 0.20/0.36 % Result found by lpo8_s
% 0.20/0.36 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_10 with 300s (1) cores
% 0.20/0.36 % Starting new_bool_6 with 300s (1) cores
% 0.20/0.36 % Starting lpo8_s with 300s (1) cores
% 0.20/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.20/0.36 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.20/0.36 % Search class: HGHSF-FSLM21-SHFFFFBN
% 0.20/0.36 % partial match(2): HGHSF-FFMM21-SHFFFFBN
% 0.20/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.36 % SubtermCWHack with pid 1392993 completed with status 0
% 0.20/0.36 % Result found by SubtermCWHack
% 0.20/0.36 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_10 with 300s (1) cores
% 0.20/0.36 % Starting new_bool_6 with 300s (1) cores
% 0.20/0.36 % Starting lpo8_s with 300s (1) cores
% 0.20/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.20/0.36 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.20/0.36 % Search class: HGHSF-FSLM21-SHFFFFBN
% 0.20/0.36 % partial match(2): HGHSF-FFMM21-SHFFFFBN
% 0.20/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.36 % Preprocessing time : 0.002 s
% 0.20/0.36
% 0.20/0.36 % Proof found!
% 0.20/0.36 % SZS status Theorem
% 0.20/0.36 % SZS output start CNFRefutation
% See solution above
% 0.20/0.36 % Parsed axioms : 457
% 0.20/0.36 % Removed by relevancy pruning/SinE : 144
% 0.20/0.36 % Initial clauses : 414
% 0.20/0.36 % Removed in clause preprocessing : 50
% 0.20/0.36 % Initial clauses in saturation : 364
% 0.20/0.36 % Processed clauses : 845
% 0.20/0.36 % ...of these trivial : 0
% 0.20/0.36 % ...subsumed : 50
% 0.20/0.36 % ...remaining for further processing : 795
% 0.20/0.36 % Other redundant clauses eliminated : 2
% 0.20/0.36 % Clauses deleted for lack of memory : 0
% 0.20/0.36 % Backward-subsumed : 3
% 0.20/0.36 % Backward-rewritten : 10
% 0.20/0.36 % Generated clauses : 877
% 0.20/0.36 % ...of the previous two non-redundant : 792
% 0.20/0.36 % ...aggressively subsumed : 0
% 0.20/0.36 % Contextual simplify-reflections : 2
% 0.20/0.36 % Paramodulations : 874
% 0.20/0.36 % Factorizations : 0
% 0.20/0.36 % NegExts : 0
% 0.20/0.36 % Equation resolutions : 3
% 0.20/0.36 % Disequality decompositions : 0
% 0.20/0.36 % Total rewrite steps : 72
% 0.20/0.36 % ...of those cached : 40
% 0.20/0.36 % Propositional unsat checks : 0
% 0.20/0.36 % Propositional check models : 0
% 0.20/0.36 % Propositional check unsatisfiable : 0
% 0.20/0.36 % Propositional clauses : 0
% 0.20/0.36 % Propositional clauses after purity: 0
% 0.20/0.36 % Propositional unsat core size : 0
% 0.20/0.36 % Propositional preprocessing time : 0.000
% 0.20/0.36 % Propositional encoding time : 0.000
% 0.20/0.36 % Propositional solver time : 0.000
% 0.20/0.36 % Success case prop preproc time : 0.000
% 0.20/0.36 % Success case prop encoding time : 0.000
% 0.20/0.36 % Success case prop solver time : 0.000
% 0.20/0.36 % Current number of processed clauses : 780
% 0.20/0.36 % Positive orientable unit clauses : 272
% 0.20/0.36 % Positive unorientable unit clauses: 0
% 0.20/0.36 % Negative unit clauses : 10
% 0.20/0.36 % Non-unit-clauses : 498
% 0.20/0.36 % Current number of unprocessed clauses: 307
% 0.20/0.36 % ...number of literals in the above : 1484
% 0.20/0.36 % Current number of archived formulas : 0
% 0.20/0.36 % Current number of archived clauses : 13
% 0.20/0.36 % Clause-clause subsumption calls (NU) : 26012
% 0.20/0.36 % Rec. Clause-clause subsumption calls : 22285
% 0.20/0.36 % Non-unit clause-clause subsumptions : 52
% 0.20/0.36 % Unit Clause-clause subsumption calls : 649
% 0.20/0.36 % Rewrite failures with RHS unbound : 0
% 0.20/0.36 % BW rewrite match attempts : 5
% 0.20/0.36 % BW rewrite match successes : 5
% 0.20/0.36 % Condensation attempts : 0
% 0.20/0.36 % Condensation successes : 0
% 0.20/0.36 % Termbank termtop insertions : 34851
% 0.20/0.36 % Search garbage collected termcells : 3041
% 0.20/0.36
% 0.20/0.36 % -------------------------------------------------
% 0.20/0.36 % User time : 0.053 s
% 0.20/0.36 % System time : 0.004 s
% 0.20/0.36 % Total time : 0.057 s
% 0.20/0.36 % Maximum resident set size: 4760 pages
% 0.20/0.36
% 0.20/0.36 % -------------------------------------------------
% 0.20/0.36 % User time : 0.061 s
% 0.20/0.36 % System time : 0.008 s
% 0.20/0.36 % Total time : 0.069 s
% 0.20/0.36 % Maximum resident set size: 5120 pages
% 0.20/0.36 % E exiting
%------------------------------------------------------------------------------