%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET752^4 : 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 : n001.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 08:22:18 AM UTC 2026
% Result : Theorem 0.23s 0.27s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 176 ( 78 equ; 0 cnn)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 364 ( 56 ~; 106 |; 16 &; 185 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 46 ( 12 ^; 29 !; 5 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_28,type,
union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_37,type,
fun_image: ( $i > $i ) > ( $i > $o ) > $i > $o ).
thf(decl_45,type,
epred1_0: $i > $o ).
thf(decl_46,type,
epred2_0: $i > $o ).
thf(decl_47,type,
esk1_0: $i > $i ).
thf(decl_48,type,
esk2_0: $i ).
thf(decl_49,type,
esk3_0: $i ).
thf(decl_50,type,
esk4_0: $i ).
thf(decl_51,type,
esk5_0: $i ).
thf(thm,conjecture,
! [X27: $i > $o,X28: $i > $o,X22: $i > $i] :
( ( fun_image @ X22 @ ( union @ X27 @ X28 ) )
= ( union @ ( fun_image @ X22 @ X27 ) @ ( fun_image @ X22 @ X28 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YnvV2NU9la/E---3.1_1261846.p',thm) ).
thf(union,axiom,
( union
= ( ^ [X5: $i > $o,X6: $i > $o,X4: $i] :
( ( X5 @ X4 )
| ( X6 @ X4 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YnvV2NU9la/E---3.1_1261846.p',union) ).
thf(fun_image,axiom,
( fun_image
= ( ^ [X22: $i > $i,X23: $i > $o,X3: $i] :
? [X1: $i] :
( ( X23 @ X1 )
& ( X3
= ( X22 @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YnvV2NU9la/E---3.1_1261846.p',fun_image) ).
thf(c_0_3,negated_conjecture,
~ ! [X27: $i > $o,X28: $i > $o,X22: $i > $i] :
( ( fun_image @ X22 @ ( union @ X27 @ X28 ) )
= ( union @ ( fun_image @ X22 @ X27 ) @ ( fun_image @ X22 @ X28 ) ) ),
inference(assume_negation,[status(cth)],[thm]) ).
thf(c_0_4,plain,
( union
= ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
( ( Z0 @ Z2 )
| ( Z1 @ Z2 ) ) ) ),
inference(fof_simplification,[status(thm)],[union]) ).
thf(c_0_5,plain,
( fun_image
= ( ^ [Z0: $i > $i,Z1: $i > $o,Z2: $i] :
? [X1: $i] :
( ( Z1 @ X1 )
& ( Z2
= ( Z0 @ X1 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fun_image]) ).
thf(c_0_6,negated_conjecture,
~ ! [X27: $i > $o,X28: $i > $o,X22: $i > $i,X42: $i] :
( ? [X36: $i] :
( ( ( X27 @ X36 )
| ( X28 @ X36 ) )
& ( X42
= ( X22 @ X36 ) ) )
<=> ( ? [X37: $i] :
( ( X27 @ X37 )
& ( X42
= ( X22 @ X37 ) ) )
| ? [X38: $i] :
( ( X28 @ X38 )
& ( X42
= ( X22 @ X38 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
thf(c_0_7,negated_conjecture,
! [X50: $i,X51: $i,X52: $i] :
( ( ~ ( epred1_0 @ X51 )
| ( esk2_0
!= ( esk1_0 @ X51 ) )
| ~ ( epred1_0 @ X50 )
| ( esk2_0
!= ( esk1_0 @ X50 ) ) )
& ( ~ ( epred2_0 @ X52 )
| ( esk2_0
!= ( esk1_0 @ X52 ) )
| ~ ( epred1_0 @ X50 )
| ( esk2_0
!= ( esk1_0 @ X50 ) ) )
& ( ~ ( epred1_0 @ X51 )
| ( esk2_0
!= ( esk1_0 @ X51 ) )
| ~ ( epred2_0 @ X50 )
| ( esk2_0
!= ( esk1_0 @ X50 ) ) )
& ( ~ ( epred2_0 @ X52 )
| ( esk2_0
!= ( esk1_0 @ X52 ) )
| ~ ( epred2_0 @ X50 )
| ( esk2_0
!= ( esk1_0 @ X50 ) ) )
& ( ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) )
& ( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) )
& ( ( epred2_0 @ esk5_0 )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) )
& ( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) )
& ( ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk4_0 )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) )
& ( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( epred1_0 @ esk4_0 )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) )
& ( ( epred2_0 @ esk5_0 )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) )
& ( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) ) ),
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_6])])])])])]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X3: $i] :
( ~ ( epred1_0 @ X1 )
| ( esk2_0
!= ( esk1_0 @ X1 ) )
| ~ ( epred1_0 @ X3 )
| ( esk2_0
!= ( esk1_0 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk4_0 )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk3_0 )
= esk2_0 )
| ( epred2_0 @ esk5_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i,X3: $i] :
( ~ ( epred2_0 @ X1 )
| ( esk2_0
!= ( esk1_0 @ X1 ) )
| ~ ( epred2_0 @ X3 )
| ( esk2_0
!= ( esk1_0 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_13,negated_conjecture,
( ( ( esk1_0 @ esk3_0 )
= esk2_0 )
| ( epred2_0 @ esk5_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_9]),c_0_10]) ).
thf(c_0_14,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk3_0 )
= esk2_0 )
| ( ( esk1_0 @ esk5_0 )
!= esk2_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_15,negated_conjecture,
( ( ( esk1_0 @ esk3_0 )
= esk2_0 )
| ( ( esk1_0 @ esk5_0 )
!= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_13]) ).
thf(c_0_16,negated_conjecture,
( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_17,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_19,negated_conjecture,
( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( epred1_0 @ esk4_0 )
| ( esk2_0
= ( esk1_0 @ esk3_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_20,negated_conjecture,
( ( ( esk1_0 @ esk4_0 )
= esk2_0 )
| ( ( esk1_0 @ esk3_0 )
= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i] :
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 )
| ( epred2_0 @ esk5_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17]),c_0_18]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk3_0 )
= esk2_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_20]),c_0_15]) ).
thf(c_0_23,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_18]) ).
thf(c_0_24,negated_conjecture,
( ( esk1_0 @ esk3_0 )
= esk2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_19]),c_0_20]),c_0_15]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk3_0 )
| ( epred2_0 @ esk5_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_23]),c_0_24])]) ).
thf(c_0_26,negated_conjecture,
( ( epred2_0 @ esk5_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24])]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk3_0 )
| ( ( esk1_0 @ esk5_0 )
!= esk2_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(spm,[status(thm)],[c_0_12,c_0_26]) ).
thf(c_0_28,negated_conjecture,
( ( epred2_0 @ esk3_0 )
| ( ( esk1_0 @ esk5_0 )
!= esk2_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk5_0 )
!= esk2_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_28]),c_0_24])]) ).
thf(c_0_30,negated_conjecture,
( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( esk2_0
= ( esk1_0 @ esk4_0 ) )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_31,negated_conjecture,
( ( esk1_0 @ esk5_0 )
!= esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_24])]) ).
thf(c_0_32,negated_conjecture,
( ( ( esk1_0 @ esk4_0 )
= esk2_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(sr,[status(thm)],[c_0_30,c_0_31]) ).
thf(c_0_33,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk4_0 )
= esk2_0 )
| ( epred2_0 @ esk3_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_32]),c_0_24])]) ).
thf(c_0_34,negated_conjecture,
( ( ( esk1_0 @ esk4_0 )
= esk2_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_24])]) ).
thf(c_0_35,negated_conjecture,
( ( esk2_0
= ( esk1_0 @ esk5_0 ) )
| ( epred1_0 @ esk4_0 )
| ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_36,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ esk4_0 )
= esk2_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_34]),c_0_24])]) ).
thf(c_0_37,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred1_0 @ esk4_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(sr,[status(thm)],[c_0_35,c_0_31]) ).
thf(c_0_38,negated_conjecture,
( ( esk1_0 @ esk4_0 )
= esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_34]),c_0_24])]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk3_0 )
| ( epred1_0 @ esk3_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_37]),c_0_38])]) ).
thf(c_0_40,negated_conjecture,
( ( epred1_0 @ esk3_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_38])]) ).
thf(c_0_41,negated_conjecture,
! [X1: $i] :
( ( epred2_0 @ esk3_0 )
| ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred1_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_40]),c_0_24])]) ).
thf(c_0_42,negated_conjecture,
epred2_0 @ esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_40]),c_0_24])]) ).
thf(c_0_43,negated_conjecture,
! [X1: $i] :
( ( ( esk1_0 @ X1 )
!= esk2_0 )
| ~ ( epred2_0 @ X1 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_42]),c_0_24])]) ).
thf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_42]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET752^4 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n001.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 13:46:50 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.09/0.25 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.YnvV2NU9la/E---3.1_1261846.p
% 0.23/0.27 % Version: 3.5.1-ho
% 0.23/0.27 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % Starting sh1l with 300s (1) cores
% 0.23/0.27 % Starting post_as_ho10 with 300s (1) cores
% 0.23/0.27 % post_as_ho1 with pid 1261883 completed with status 0
% 0.23/0.27 % Result found by post_as_ho1
% 0.23/0.27 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HGHSF-FFSM33-SHSSMFNN
% 0.23/0.27 % partial match(3): HGHNF-FFSM00-SHSSMFNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % SubtermCWHack with pid 1261889 completed with status 0
% 0.23/0.27 % Result found by SubtermCWHack
% 0.23/0.27 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.23/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.27 % Starting new_ho_9 with 1500s (5) cores
% 0.23/0.27 % Starting post_as_ho1 with 300s (1) cores
% 0.23/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.27 % No SInE strategy applied
% 0.23/0.27 % Search class: HGHSF-FFSM33-SHSSMFNN
% 0.23/0.27 % partial match(3): HGHNF-FFSM00-SHSSMFNN
% 0.23/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.23/0.27 % Preprocessing time : 0.001 s
% 0.23/0.27
% 0.23/0.27 % Proof found!
% 0.23/0.27 % SZS status Theorem
% 0.23/0.27 % SZS output start CNFRefutation
% See solution above
% 0.23/0.27 % Parsed axioms : 45
% 0.23/0.27 % Removed by relevancy pruning/SinE : 0
% 0.23/0.27 % Initial clauses : 35
% 0.23/0.27 % Removed in clause preprocessing : 22
% 0.23/0.27 % Initial clauses in saturation : 13
% 0.23/0.27 % Processed clauses : 48
% 0.23/0.27 % ...of these trivial : 0
% 0.23/0.27 % ...subsumed : 6
% 0.23/0.27 % ...remaining for further processing : 42
% 0.23/0.27 % Other redundant clauses eliminated : 0
% 0.23/0.27 % Clauses deleted for lack of memory : 0
% 0.23/0.27 % Backward-subsumed : 22
% 0.23/0.27 % Backward-rewritten : 11
% 0.23/0.27 % Generated clauses : 63
% 0.23/0.27 % ...of the previous two non-redundant : 57
% 0.23/0.27 % ...aggressively subsumed : 0
% 0.23/0.27 % Contextual simplify-reflections : 10
% 0.23/0.27 % Paramodulations : 61
% 0.23/0.27 % Factorizations : 0
% 0.23/0.27 % NegExts : 0
% 0.23/0.27 % Equation resolutions : 0
% 0.23/0.27 % Disequality decompositions : 0
% 0.23/0.27 % Total rewrite steps : 29
% 0.23/0.27 % ...of those cached : 26
% 0.23/0.27 % Propositional unsat checks : 0
% 0.23/0.27 % Propositional check models : 0
% 0.23/0.27 % Propositional check unsatisfiable : 0
% 0.23/0.27 % Propositional clauses : 0
% 0.23/0.27 % Propositional clauses after purity: 0
% 0.23/0.27 % Propositional unsat core size : 0
% 0.23/0.27 % Propositional preprocessing time : 0.000
% 0.23/0.27 % Propositional encoding time : 0.000
% 0.23/0.27 % Propositional solver time : 0.000
% 0.23/0.27 % Success case prop preproc time : 0.000
% 0.23/0.27 % Success case prop encoding time : 0.000
% 0.23/0.27 % Success case prop solver time : 0.000
% 0.23/0.27 % Current number of processed clauses : 7
% 0.23/0.27 % Positive orientable unit clauses : 4
% 0.23/0.27 % Positive unorientable unit clauses: 0
% 0.23/0.27 % Negative unit clauses : 1
% 0.23/0.27 % Non-unit-clauses : 2
% 0.23/0.27 % Current number of unprocessed clauses: 0
% 0.23/0.27 % ...number of literals in the above : 0
% 0.23/0.27 % Current number of archived formulas : 0
% 0.23/0.27 % Current number of archived clauses : 35
% 0.23/0.27 % Clause-clause subsumption calls (NU) : 64
% 0.23/0.27 % Rec. Clause-clause subsumption calls : 36
% 0.23/0.27 % Non-unit clause-clause subsumptions : 33
% 0.23/0.27 % Unit Clause-clause subsumption calls : 7
% 0.23/0.27 % Rewrite failures with RHS unbound : 0
% 0.23/0.27 % BW rewrite match attempts : 3
% 0.23/0.27 % BW rewrite match successes : 3
% 0.23/0.27 % Condensation attempts : 0
% 0.23/0.27 % Condensation successes : 0
% 0.23/0.27 % Termbank termtop insertions : 2867
% 0.23/0.27 % Search garbage collected termcells : 379
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.004 s
% 0.23/0.27 % System time : 0.003 s
% 0.23/0.27 % Total time : 0.007 s
% 0.23/0.27 % Maximum resident set size: 3680 pages
% 0.23/0.27
% 0.23/0.27 % -------------------------------------------------
% 0.23/0.27 % User time : 0.005 s
% 0.23/0.27 % System time : 0.007 s
% 0.23/0.27 % Total time : 0.013 s
% 0.23/0.27 % Maximum resident set size: 4864 pages
% 0.23/0.27 % E exiting
%------------------------------------------------------------------------------