%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU705^2 : TPTP v9.3.1. Released v3.7.0.
% 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 08:25:17 AM UTC 2026
% Result : Theorem 0.23s 0.32s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 35 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 45 equ; 0 cnn)
% Maximal formula atoms : 29 ( 4 avg)
% Number of connectives : 539 ( 55 ~; 48 |; 44 &; 353 @)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 11 con; 0-4 aty)
% Number of variables : 134 ( 30 ^; 98 !; 6 ?; 134 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_24,type,
emptyset: $i ).
thf(decl_25,type,
setadjoin: $i > $i > $i ).
thf(decl_26,type,
setunion: $i > $i ).
thf(decl_27,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(decl_28,type,
subset: $i > $i > $o ).
thf(decl_29,type,
subsetE: $o ).
thf(decl_30,type,
sepSubset: $o ).
thf(decl_31,type,
singleton: $i > $o ).
thf(decl_32,type,
theprop: $o ).
thf(decl_33,type,
ifSingleton: $o ).
thf(decl_34,type,
if: $i > $o > $i > $i > $i ).
thf(decl_35,type,
esk1_4: $i > $o > $i > $i > $i ).
thf(decl_36,type,
esk2_0: $i ).
thf(decl_37,type,
epred1_0: $o ).
thf(decl_38,type,
esk3_0: $i ).
thf(decl_39,type,
esk4_0: $i ).
thf(singleton,axiom,
( singleton
= ( ^ [X1: $i] :
? [X3: $i] :
( ( in @ X3 @ X1 )
& ( X1
= ( setadjoin @ X3 @ emptyset ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',singleton) ).
thf(ifSingleton,axiom,
( ifSingleton
<=> ! [X1: $i,X6: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ( singleton
@ ( dsetconstr @ X1
@ ^ [X8: $i] :
( ( X6
& ( X8 = X3 ) )
| ( ~ X6
& ( X8 = X7 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',ifSingleton) ).
thf(ifp,conjecture,
( subsetE
=> ( sepSubset
=> ( theprop
=> ( ifSingleton
=> ! [X1: $i,X10: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ( in @ ( if @ X1 @ X10 @ X3 @ X7 ) @ X1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',ifp) ).
thf(sepSubset,axiom,
( sepSubset
<=> ! [X1: $i,X4: $i > $o] :
( subset
@ ( dsetconstr @ X1
@ ^ [X3: $i] : ( X4 @ X3 ) )
@ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',sepSubset) ).
thf(theprop,axiom,
( theprop
<=> ! [X5: $i] :
( ( singleton @ X5 )
=> ( in @ ( setunion @ X5 ) @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',theprop) ).
thf(subsetE,axiom,
( subsetE
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( subset @ X1 @ X2 )
=> ( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',subsetE) ).
thf(if,axiom,
( if
= ( ^ [X1: $i,X9: $o,X3: $i,X7: $i] :
( setunion
@ ( dsetconstr @ X1
@ ^ [X8: $i] :
( ( X9
& ( X8 = X3 ) )
| ( ~ X9
& ( X8 = X7 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Zhwdhv0lci/E---3.1_1115041.p',if) ).
thf(c_0_7,plain,
( singleton
= ( ^ [Z0: $i] :
? [X3: $i] :
( ( in @ X3 @ Z0 )
& ( Z0
= ( setadjoin @ X3 @ emptyset ) ) ) ) ),
inference(fof_simplification,[status(thm)],[singleton]) ).
thf(c_0_8,plain,
( ifSingleton
<=> ! [X1: $i,X6: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ( singleton
@ ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X3 ) )
| ( ~ X6
& ( Z0 = X7 ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[ifSingleton]) ).
thf(c_0_9,negated_conjecture,
~ ( subsetE
=> ( sepSubset
=> ( theprop
=> ( ifSingleton
=> ! [X1: $i,X10: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ( in @ ( if @ X1 @ X10 @ X3 @ X7 ) @ X1 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[ifp]) ).
thf(c_0_10,plain,
( sepSubset
<=> ! [X1: $i,X4: $i > $o] :
( subset
@ ( dsetconstr @ X1
@ ^ [Z0: $i] : ( X4 @ Z0 ) )
@ X1 ) ),
inference(fof_simplification,[status(thm)],[sepSubset]) ).
thf(c_0_11,axiom,
( theprop
= ( ! [X5: $i] :
( ? [X25: $i] :
( ( in @ X25 @ X5 )
& ( X5
= ( setadjoin @ X25 @ emptyset ) ) )
=> ( in @ ( setunion @ X5 ) @ X5 ) ) ) ),
inference(apply_def,[status(thm)],[theprop,c_0_7]) ).
thf(c_0_12,plain,
( ifSingleton
= ( ! [X1: $i,X6: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ? [X26: $i] :
( ( in @ X26
@ ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X3 ) )
| ( ~ X6
& ( Z0 = X7 ) ) ) ) )
& ( ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X3 ) )
| ( ~ X6
& ( Z0 = X7 ) ) ) )
= ( setadjoin @ X26 @ emptyset ) ) ) ) ) ) ),
inference(apply_def,[status(thm)],[c_0_8,c_0_7]) ).
thf(c_0_13,negated_conjecture,
~ ( ! [X27: $i,X28: $i,X29: $i] :
( ( subset @ X27 @ X28 )
=> ( ( in @ X29 @ X27 )
=> ( in @ X29 @ X28 ) ) )
=> ( ! [X30: $i,X31: $i > $o] : ( subset @ ( dsetconstr @ X30 @ X31 ) @ X30 )
=> ( ! [X32: $i] :
( ? [X33: $i] :
( ( in @ X33 @ X32 )
& ( X32
= ( setadjoin @ X33 @ emptyset ) ) )
=> ( in @ ( setunion @ X32 ) @ X32 ) )
=> ( ! [X34: $i,X35: $o,X36: $i] :
( ( in @ X36 @ X34 )
=> ! [X37: $i] :
( ( in @ X37 @ X34 )
=> ? [X38: $i] :
( ( in @ X38
@ ( dsetconstr @ X34
@ ^ [Z0: $i] :
( ( X35
& ( Z0 = X36 ) )
| ( ~ X35
& ( Z0 = X37 ) ) ) ) )
& ( ( dsetconstr @ X34
@ ^ [Z0: $i] :
( ( X35
& ( Z0 = X36 ) )
| ( ~ X35
& ( Z0 = X37 ) ) ) )
= ( setadjoin @ X38 @ emptyset ) ) ) ) )
=> ! [X1: $i,X10: $o,X3: $i] :
( ( in @ X3 @ X1 )
=> ! [X7: $i] :
( ( in @ X7 @ X1 )
=> ( in @ ( if @ X1 @ X10 @ X3 @ X7 ) @ X1 ) ) ) ) ) ) ),
inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,subsetE]),c_0_10]),c_0_11]),c_0_12])]) ).
thf(c_0_14,negated_conjecture,
! [X39: $i,X40: $i,X41: $i,X42: $i,X43: $i > $o,X44: $i,X45: $i,X46: $i,X47: $o,X48: $i,X49: $i] :
( ( ~ ( subset @ X39 @ X40 )
| ~ ( in @ X41 @ X39 )
| ( in @ X41 @ X40 ) )
& ( subset @ ( dsetconstr @ X42 @ X43 ) @ X42 )
& ( ~ ( in @ X45 @ X44 )
| ( X44
!= ( setadjoin @ X45 @ emptyset ) )
| ( in @ ( setunion @ X44 ) @ X44 ) )
& ( ( in @ ( esk1_4 @ X46 @ X47 @ X48 @ X49 )
@ ( dsetconstr @ X46
@ ^ [Z0: $i] :
( ( X47
& ( Z0 = X48 ) )
| ( ~ X47
& ( Z0 = X49 ) ) ) ) )
| ~ ( in @ X49 @ X46 )
| ~ ( in @ X48 @ X46 ) )
& ( ( ( dsetconstr @ X46
@ ^ [Z0: $i] :
( ( X47
& ( Z0 = X48 ) )
| ( ~ X47
& ( Z0 = X49 ) ) ) )
= ( setadjoin @ ( esk1_4 @ X46 @ X47 @ X48 @ X49 ) @ emptyset ) )
| ~ ( in @ X49 @ X46 )
| ~ ( in @ X48 @ X46 ) )
& ( in @ esk3_0 @ esk2_0 )
& ( in @ esk4_0 @ esk2_0 )
& ( ~ epred1_0
| epred1_0 )
& ( ~ ( in @ ( if @ esk2_0 @ $false @ esk3_0 @ esk4_0 ) @ esk2_0 )
| epred1_0 )
& ( ~ epred1_0
| ~ ( in @ ( if @ esk2_0 @ $true @ esk3_0 @ esk4_0 ) @ esk2_0 ) )
& ( ~ ( in @ ( if @ esk2_0 @ $false @ esk3_0 @ esk4_0 ) @ esk2_0 )
| ~ ( in @ ( if @ esk2_0 @ $true @ esk3_0 @ esk4_0 ) @ esk2_0 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])])]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ X3 @ X2 )
| ~ ( subset @ X1 @ X2 )
| ~ ( in @ X3 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_16,negated_conjecture,
! [X4: $i > $o,X1: $i] : ( subset @ ( dsetconstr @ X1 @ X4 ) @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_17,plain,
( if
= ( ^ [Z0: $i,Z1: $o,Z2: $i,Z3: $i] :
( setunion
@ ( dsetconstr @ Z0
@ ^ [Z4: $i] :
( ( Z1
& ( Z4 = Z2 ) )
| ( ~ Z1
& Z4 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[if]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i,X4: $i > $o] :
( ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( dsetconstr @ X2 @ X4 ) ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_19,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X2 ) )
| ( ~ X6
& ( Z0 = X3 ) ) ) )
= ( setadjoin @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 ) @ emptyset ) )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_20,negated_conjecture,
! [X2: $i,X1: $i] :
( ( in @ ( setunion @ X2 ) @ X2 )
| ~ ( in @ X1 @ X2 )
| ( X2
!= ( setadjoin @ X1 @ emptyset ) ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_21,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 )
@ ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X2 ) )
| ( ~ X6
& ( Z0 = X3 ) ) ) ) )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_22,plain,
( if
= ( ^ [Z0: $i,Z1: $o,Z2: $i,Z3: $i] :
( setunion
@ ( dsetconstr @ Z0
@ ^ [Z4: $i] :
( ( Z1
& ( Z4 = Z2 ) )
| ( ~ Z1
& Z4 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i,X6: $o,X5: $i,X3: $i,X2: $i] :
( ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( setadjoin @ ( esk1_4 @ X2 @ X6 @ X3 @ X5 ) @ emptyset ) )
| ~ ( in @ X5 @ X2 )
| ~ ( in @ X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,negated_conjecture,
! [X1: $i] :
( ( in @ ( setunion @ ( setadjoin @ X1 @ emptyset ) ) @ ( setadjoin @ X1 @ emptyset ) )
| ~ ( in @ X1 @ ( setadjoin @ X1 @ emptyset ) ) ),
inference(er,[status(thm)],[c_0_20]) ).
thf(c_0_25,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 ) @ ( setadjoin @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 ) @ emptyset ) )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_21,c_0_19]) ).
thf(c_0_26,plain,
! [X1: $i,X2: $i,X6: $o,X3: $i] :
( ( setunion
@ ( dsetconstr @ X1
@ ^ [Z0: $i] :
( ( X6
& ( Z0 = X2 ) )
| ( ~ X6
& ( Z0 = X3 ) ) ) ) )
= ( if @ X1 @ X6 @ X2 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_22]) ).
thf(c_0_27,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( in @ ( setunion @ ( setadjoin @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 ) @ emptyset ) ) @ X1 )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
thf(c_0_28,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( ( setunion @ ( setadjoin @ ( esk1_4 @ X1 @ X6 @ X2 @ X3 ) @ emptyset ) )
= ( if @ X1 @ X6 @ X2 @ X3 ) )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_26,c_0_19]) ).
thf(c_0_29,negated_conjecture,
( ~ ( in @ ( if @ esk2_0 @ ~ $true @ esk3_0 @ esk4_0 ) @ esk2_0 )
| ~ ( in @ ( if @ esk2_0 @ $true @ esk3_0 @ esk4_0 ) @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_30,negated_conjecture,
! [X6: $o,X3: $i,X2: $i,X1: $i] :
( ( in @ ( if @ X1 @ X6 @ X2 @ X3 ) @ X1 )
| ~ ( in @ X3 @ X1 )
| ~ ( in @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_31,negated_conjecture,
in @ esk4_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_32,negated_conjecture,
in @ esk3_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_33,negated_conjecture,
~ ( in @ ( if @ esk2_0 @ $true @ esk3_0 @ esk4_0 ) @ esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32])]) ).
thf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_30]),c_0_31]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU705^2 : TPTP v9.3.1. Released v3.7.0.
% 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 14:13:34 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 Running higher-order theorem proving
% 0.23/0.29 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.Zhwdhv0lci/E---3.1_1115041.p
% 0.23/0.32 % Version: 3.5.1-ho
% 0.23/0.32 % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.23/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.32 % Starting ho_unfolding_6 with 1500s (5) cores
% 0.23/0.32 % Starting pre_casc_5 with 300s (1) cores
% 0.23/0.32 % Starting sh4l with 300s (1) cores
% 0.23/0.32 % Starting full_lambda_3 with 300s (1) cores
% 0.23/0.32 % sh4l with pid 1115056 completed with status 0
% 0.23/0.32 % Result found by sh4l
% 0.23/0.32 % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.23/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.32 % Starting ho_unfolding_6 with 1500s (5) cores
% 0.23/0.32 % Starting pre_casc_5 with 300s (1) cores
% 0.23/0.32 % Starting sh4l with 300s (1) cores
% 0.23/0.32 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.32 % No SInE strategy applied
% 0.23/0.32 % Search class: HHHSF-FFSS32-DSFFMFBN
% 0.23/0.32 % partial match(3): HHUSF-FFSS32-SSFFMSBN
% 0.23/0.32 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.32 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.32 % SubtermCWHack with pid 1115063 completed with status 0
% 0.23/0.32 % Result found by SubtermCWHack
% 0.23/0.32 % Preprocessing class: HSSSSLSSSLMNSFN.
% 0.23/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.32 % Starting ho_unfolding_6 with 1500s (5) cores
% 0.23/0.32 % Starting pre_casc_5 with 300s (1) cores
% 0.23/0.32 % Starting sh4l with 300s (1) cores
% 0.23/0.32 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.32 % No SInE strategy applied
% 0.23/0.32 % Search class: HHHSF-FFSS32-DSFFMFBN
% 0.23/0.32 % partial match(3): HHUSF-FFSS32-SSFFMSBN
% 0.23/0.32 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.32 % Starting SubtermCWHack with 31s (1) cores
% 0.23/0.32 % Preprocessing time : 0.002 s
% 0.23/0.32
% 0.23/0.32 % Proof found!
% 0.23/0.32 % SZS status Theorem
% 0.23/0.32 % SZS output start CNFRefutation
% See solution above
% 0.23/0.32 % Parsed axioms : 19
% 0.23/0.32 % Removed by relevancy pruning/SinE : 0
% 0.23/0.32 % Initial clauses : 24
% 0.23/0.32 % Removed in clause preprocessing : 13
% 0.23/0.32 % Initial clauses in saturation : 11
% 0.23/0.32 % Processed clauses : 36
% 0.23/0.32 % ...of these trivial : 6
% 0.23/0.32 % ...subsumed : 2
% 0.23/0.32 % ...remaining for further processing : 28
% 0.23/0.32 % Other redundant clauses eliminated : 1
% 0.23/0.32 % Clauses deleted for lack of memory : 0
% 0.23/0.32 % Backward-subsumed : 1
% 0.23/0.32 % Backward-rewritten : 2
% 0.23/0.32 % Generated clauses : 39
% 0.23/0.32 % ...of the previous two non-redundant : 39
% 0.23/0.32 % ...aggressively subsumed : 0
% 0.23/0.32 % Contextual simplify-reflections : 1
% 0.23/0.32 % Paramodulations : 28
% 0.23/0.32 % Factorizations : 0
% 0.23/0.32 % NegExts : 0
% 0.23/0.32 % Equation resolutions : 1
% 0.23/0.32 % Disequality decompositions : 0
% 0.23/0.32 % Total rewrite steps : 16
% 0.23/0.32 % ...of those cached : 7
% 0.23/0.32 % Propositional unsat checks : 0
% 0.23/0.32 % Propositional check models : 0
% 0.23/0.32 % Propositional check unsatisfiable : 0
% 0.23/0.32 % Propositional clauses : 0
% 0.23/0.32 % Propositional clauses after purity: 0
% 0.23/0.32 % Propositional unsat core size : 0
% 0.23/0.32 % Propositional preprocessing time : 0.000
% 0.23/0.32 % Propositional encoding time : 0.000
% 0.23/0.32 % Propositional solver time : 0.000
% 0.23/0.32 % Success case prop preproc time : 0.000
% 0.23/0.32 % Success case prop encoding time : 0.000
% 0.23/0.32 % Success case prop solver time : 0.000
% 0.23/0.32 % Current number of processed clauses : 24
% 0.23/0.32 % Positive orientable unit clauses : 9
% 0.23/0.32 % Positive unorientable unit clauses: 0
% 0.23/0.32 % Negative unit clauses : 1
% 0.23/0.32 % Non-unit-clauses : 14
% 0.23/0.32 % Current number of unprocessed clauses: 13
% 0.23/0.32 % ...number of literals in the above : 54
% 0.23/0.32 % Current number of archived formulas : 0
% 0.23/0.32 % Current number of archived clauses : 3
% 0.23/0.32 % Clause-clause subsumption calls (NU) : 83
% 0.23/0.32 % Rec. Clause-clause subsumption calls : 75
% 0.23/0.32 % Non-unit clause-clause subsumptions : 3
% 0.23/0.32 % Unit Clause-clause subsumption calls : 3
% 0.23/0.32 % Rewrite failures with RHS unbound : 0
% 0.23/0.32 % BW rewrite match attempts : 7
% 0.23/0.32 % BW rewrite match successes : 1
% 0.23/0.32 % Condensation attempts : 0
% 0.23/0.32 % Condensation successes : 0
% 0.23/0.32 % Termbank termtop insertions : 2674
% 0.23/0.32 % Search garbage collected termcells : 513
% 0.23/0.32
% 0.23/0.32 % -------------------------------------------------
% 0.23/0.32 % User time : 0.008 s
% 0.23/0.32 % System time : 0.002 s
% 0.23/0.32 % Total time : 0.010 s
% 0.23/0.32 % Maximum resident set size: 3904 pages
% 0.23/0.32
% 0.23/0.32 % -------------------------------------------------
% 0.23/0.32 % User time : 0.012 s
% 0.23/0.32 % System time : 0.004 s
% 0.23/0.32 % Total time : 0.016 s
% 0.23/0.32 % Maximum resident set size: 4864 pages
% 0.23/0.32 % E exiting
%------------------------------------------------------------------------------