%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET925^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 08:22:19 AM UTC 2026
% Result : Theorem 2.62s 0.66s
% Output : CNFRefutation 2.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 204 ( 6 equ; 0 cnn)
% Maximal formula atoms : 18 ( 9 avg)
% Number of connectives : 627 ( 71 ~; 67 |; 4 &; 479 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 13 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 143 ( 64 ^; 79 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_23,type,
qmltpeq: mu > mu > $i > $o ).
thf(decl_31,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_32,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_37,type,
exists_in_world: mu > $i > $o ).
thf(decl_38,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(decl_51,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_55,type,
rel_s4: $i > $i > $o ).
thf(decl_56,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(decl_59,type,
in: mu > mu > $i > $o ).
thf(decl_60,type,
empty_set: mu ).
thf(decl_61,type,
singleton: mu > mu ).
thf(decl_62,type,
set_difference: mu > mu > mu ).
thf(decl_63,type,
esk1_0: $i ).
thf(decl_64,type,
esk2_0: $i ).
thf(decl_65,type,
esk3_0: mu ).
thf(decl_66,type,
esk4_0: $i ).
thf(decl_67,type,
esk5_0: mu ).
thf(mbox_s4,axiom,
( mbox_s4
= ( ^ [X4: $i > $o,X3: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ X3 @ X7 )
| ( X4 @ X7 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6umDrMLcSW/E---3.1_3374803.p',mbox_s4) ).
thf(mforall_ind,axiom,
( mforall_ind
= ( ^ [X11: mu > $i > $o,X3: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ X3 )
=> ( X11 @ X12 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6umDrMLcSW/E---3.1_3374803.p',mforall_ind) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X4: $i > $o] :
! [X3: $i] : ( X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6umDrMLcSW/E---3.1_3374803.p',mvalid) ).
thf(t68_zfmisc_1,conjecture,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X28: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X29: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6umDrMLcSW/E---3.1_3374803.p',t68_zfmisc_1) ).
thf(l36_zfmisc_1,axiom,
( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X28: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X29: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.6umDrMLcSW/E---3.1_3374803.p',l36_zfmisc_1) ).
thf(c_0_5,plain,
( mbox_s4
= ( ^ [Z0: $i > $o,Z1: $i] :
! [X7: $i] :
( ~ ( rel_s4 @ Z1 @ X7 )
| ( Z0 @ X7 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox_s4]) ).
thf(c_0_6,plain,
( mforall_ind
= ( ^ [Z0: mu > $i > $o,Z1: $i] :
! [X12: mu] :
( ( exists_in_world @ X12 @ Z1 )
=> ( Z0 @ X12 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[mforall_ind]) ).
thf(c_0_7,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_8,negated_conjecture,
~ ( mvalid
@ ( mbox_s4
@ ( mforall_ind
@ ^ [X28: mu] :
( mbox_s4
@ ( mforall_ind
@ ^ [X29: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X28 @ X29 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X28 ) @ X29 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t68_zfmisc_1]) ).
thf(c_0_9,plain,
! [X89: $i,X88: $i] :
( ~ ( rel_s4 @ X89 @ X88 )
| ! [X87: mu] :
( ( exists_in_world @ X87 @ X88 )
=> ! [X86: $i] :
( ~ ( rel_s4 @ X88 @ X86 )
| ! [X85: mu] :
( ( exists_in_world @ X85 @ X86 )
=> ( mand
@ ^ [Z0: $i] :
! [X81: $i] :
( ~ ( rel_s4 @ Z0 @ X81 )
| ( mimplies
@ ^ [Z1: $i] :
! [X79: $i] :
( ~ ( rel_s4 @ Z1 @ X79 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X87 ) @ X85 ) @ empty_set @ X79 ) )
@ ^ [Z1: $i] :
! [X80: $i] :
( ~ ( rel_s4 @ Z1 @ X80 )
| ( in @ X87 @ X85 @ X80 ) )
@ X81 ) )
@ ^ [Z0: $i] :
! [X84: $i] :
( ~ ( rel_s4 @ Z0 @ X84 )
| ( mimplies
@ ^ [Z1: $i] :
! [X82: $i] :
( ~ ( rel_s4 @ Z1 @ X82 )
| ( in @ X87 @ X85 @ X82 ) )
@ ^ [Z1: $i] :
! [X83: $i] :
( ~ ( rel_s4 @ Z1 @ X83 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X87 ) @ X85 ) @ empty_set @ X83 ) )
@ X84 ) )
@ X86 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[l36_zfmisc_1]),c_0_5]),c_0_6]),c_0_7])]) ).
thf(c_0_10,negated_conjecture,
~ ! [X53: $i,X52: $i] :
( ~ ( rel_s4 @ X53 @ X52 )
| ! [X51: mu] :
( ( exists_in_world @ X51 @ X52 )
=> ! [X50: $i] :
( ~ ( rel_s4 @ X52 @ X50 )
| ! [X49: mu] :
( ( exists_in_world @ X49 @ X50 )
=> ( mand
@ ^ [Z0: $i] :
! [X45: $i] :
( ~ ( rel_s4 @ Z0 @ X45 )
| ( mimplies
@ ^ [Z1: $i] :
! [X43: $i] :
( ~ ( rel_s4 @ Z1 @ X43 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X51 ) @ X49 ) @ empty_set @ X43 ) )
@ ^ [Z1: $i] :
! [X44: $i] :
( ~ ( rel_s4 @ Z1 @ X44 )
| ( in @ X51 @ X49 @ X44 ) )
@ X45 ) )
@ ^ [Z0: $i] :
! [X48: $i] :
( ~ ( rel_s4 @ Z0 @ X48 )
| ( mimplies
@ ^ [Z1: $i] :
! [X46: $i] :
( ~ ( rel_s4 @ Z1 @ X46 )
| ( in @ X51 @ X49 @ X46 ) )
@ ^ [Z1: $i] :
! [X47: $i] :
( ~ ( rel_s4 @ Z1 @ X47 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X51 ) @ X49 ) @ empty_set @ X47 ) )
@ X48 ) )
@ X50 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_8]),c_0_5]),c_0_6]),c_0_7])]) ).
thf(c_0_11,plain,
! [X191: $i,X192: $i,X193: mu,X194: $i,X195: mu] :
( ~ ( rel_s4 @ X191 @ X192 )
| ~ ( exists_in_world @ X193 @ X192 )
| ~ ( rel_s4 @ X192 @ X194 )
| ~ ( exists_in_world @ X195 @ X194 )
| ( mand
@ ^ [Z0: $i] :
! [X81: $i] :
( ~ ( rel_s4 @ Z0 @ X81 )
| ( mimplies
@ ^ [Z1: $i] :
! [X79: $i] :
( ~ ( rel_s4 @ Z1 @ X79 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X193 ) @ X195 ) @ empty_set @ X79 ) )
@ ^ [Z1: $i] :
! [X80: $i] :
( ~ ( rel_s4 @ Z1 @ X80 )
| ( in @ X193 @ X195 @ X80 ) )
@ X81 ) )
@ ^ [Z0: $i] :
! [X84: $i] :
( ~ ( rel_s4 @ Z0 @ X84 )
| ( mimplies
@ ^ [Z1: $i] :
! [X82: $i] :
( ~ ( rel_s4 @ Z1 @ X82 )
| ( in @ X193 @ X195 @ X82 ) )
@ ^ [Z1: $i] :
! [X83: $i] :
( ~ ( rel_s4 @ Z1 @ X83 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X193 ) @ X195 ) @ empty_set @ X83 ) )
@ X84 ) )
@ X194 ) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
thf(c_0_12,negated_conjecture,
( ( rel_s4 @ esk1_0 @ esk2_0 )
& ( exists_in_world @ esk3_0 @ esk2_0 )
& ( rel_s4 @ esk2_0 @ esk4_0 )
& ( exists_in_world @ esk5_0 @ esk4_0 )
& ~ ( mand
@ ^ [Z0: $i] :
! [X45: $i] :
( ~ ( rel_s4 @ Z0 @ X45 )
| ( mimplies
@ ^ [Z1: $i] :
! [X43: $i] :
( ~ ( rel_s4 @ Z1 @ X43 )
| ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X43 ) )
@ ^ [Z1: $i] :
! [X44: $i] :
( ~ ( rel_s4 @ Z1 @ X44 )
| ( in @ esk3_0 @ esk5_0 @ X44 ) )
@ X45 ) )
@ ^ [Z0: $i] :
! [X48: $i] :
( ~ ( rel_s4 @ Z0 @ X48 )
| ( mimplies
@ ^ [Z1: $i] :
! [X46: $i] :
( ~ ( rel_s4 @ Z1 @ X46 )
| ( in @ esk3_0 @ esk5_0 @ X46 ) )
@ ^ [Z1: $i] :
! [X47: $i] :
( ~ ( rel_s4 @ Z1 @ X47 )
| ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X47 ) )
@ X48 ) )
@ esk4_0 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
thf(c_0_13,plain,
! [X3: $i,X7: $i,X10: mu,X12: mu,X16: $i] :
( ( mand
@ ^ [Z0: $i] :
! [X263: $i] :
( ~ ( rel_s4 @ Z0 @ X263 )
| ( mimplies
@ ^ [Z1: $i] :
! [X264: $i] :
( ~ ( rel_s4 @ Z1 @ X264 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X264 ) )
@ ^ [Z1: $i] :
! [X265: $i] :
( ~ ( rel_s4 @ Z1 @ X265 )
| ( in @ X10 @ X12 @ X265 ) )
@ X263 ) )
@ ^ [Z0: $i] :
! [X266: $i] :
( ~ ( rel_s4 @ Z0 @ X266 )
| ( mimplies
@ ^ [Z1: $i] :
! [X267: $i] :
( ~ ( rel_s4 @ Z1 @ X267 )
| ( in @ X10 @ X12 @ X267 ) )
@ ^ [Z1: $i] :
! [X268: $i] :
( ~ ( rel_s4 @ Z1 @ X268 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X268 ) )
@ X266 ) )
@ X16 )
| ~ ( rel_s4 @ X3 @ X7 )
| ~ ( exists_in_world @ X10 @ X7 )
| ~ ( rel_s4 @ X7 @ X16 )
| ~ ( exists_in_world @ X12 @ X16 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
rel_s4 @ esk2_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X12: mu,X10: mu] :
( ( mand
@ ^ [Z0: $i] :
! [X269: $i] :
( ~ ( rel_s4 @ Z0 @ X269 )
| ( mimplies
@ ^ [Z1: $i] :
! [X270: $i] :
( ~ ( rel_s4 @ Z1 @ X270 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X270 ) )
@ ^ [Z1: $i] :
! [X271: $i] :
( ~ ( rel_s4 @ Z1 @ X271 )
| ( in @ X10 @ X12 @ X271 ) )
@ X269 ) )
@ ^ [Z0: $i] :
! [X272: $i] :
( ~ ( rel_s4 @ Z0 @ X272 )
| ( mimplies
@ ^ [Z1: $i] :
! [X273: $i] :
( ~ ( rel_s4 @ Z1 @ X273 )
| ( in @ X10 @ X12 @ X273 ) )
@ ^ [Z1: $i] :
! [X274: $i] :
( ~ ( rel_s4 @ Z1 @ X274 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X274 ) )
@ X272 ) )
@ esk4_0 )
| ~ ( rel_s4 @ X3 @ esk2_0 )
| ~ ( exists_in_world @ X12 @ esk4_0 )
| ~ ( exists_in_world @ X10 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_16,negated_conjecture,
rel_s4 @ esk1_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
~ ( mand
@ ^ [Z0: $i] :
! [X275: $i] :
( ~ ( rel_s4 @ Z0 @ X275 )
| ( mimplies
@ ^ [Z1: $i] :
! [X276: $i] :
( ~ ( rel_s4 @ Z1 @ X276 )
| ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X276 ) )
@ ^ [Z1: $i] :
! [X277: $i] :
( ~ ( rel_s4 @ Z1 @ X277 )
| ( in @ esk3_0 @ esk5_0 @ X277 ) )
@ X275 ) )
@ ^ [Z0: $i] :
! [X278: $i] :
( ~ ( rel_s4 @ Z0 @ X278 )
| ( mimplies
@ ^ [Z1: $i] :
! [X279: $i] :
( ~ ( rel_s4 @ Z1 @ X279 )
| ( in @ esk3_0 @ esk5_0 @ X279 ) )
@ ^ [Z1: $i] :
! [X280: $i] :
( ~ ( rel_s4 @ Z1 @ X280 )
| ( qmltpeq @ ( set_difference @ ( singleton @ esk3_0 ) @ esk5_0 ) @ empty_set @ X280 ) )
@ X278 ) )
@ esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,negated_conjecture,
! [X12: mu,X10: mu] :
( ( mand
@ ^ [Z0: $i] :
! [X281: $i] :
( ~ ( rel_s4 @ Z0 @ X281 )
| ( mimplies
@ ^ [Z1: $i] :
! [X282: $i] :
( ~ ( rel_s4 @ Z1 @ X282 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X282 ) )
@ ^ [Z1: $i] :
! [X283: $i] :
( ~ ( rel_s4 @ Z1 @ X283 )
| ( in @ X10 @ X12 @ X283 ) )
@ X281 ) )
@ ^ [Z0: $i] :
! [X284: $i] :
( ~ ( rel_s4 @ Z0 @ X284 )
| ( mimplies
@ ^ [Z1: $i] :
! [X285: $i] :
( ~ ( rel_s4 @ Z1 @ X285 )
| ( in @ X10 @ X12 @ X285 ) )
@ ^ [Z1: $i] :
! [X286: $i] :
( ~ ( rel_s4 @ Z1 @ X286 )
| ( qmltpeq @ ( set_difference @ ( singleton @ X10 ) @ X12 ) @ empty_set @ X286 ) )
@ X284 ) )
@ esk4_0 )
| ~ ( exists_in_world @ X12 @ esk4_0 )
| ~ ( exists_in_world @ X10 @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_19,negated_conjecture,
exists_in_world @ esk5_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_20,negated_conjecture,
exists_in_world @ esk3_0 @ esk2_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET925^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n007.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 13:39:26 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24 Running higher-order theorem proving
% 0.07/0.26 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.6umDrMLcSW/E---3.1_3374803.p
% 2.62/0.66 % Version: 3.5.1-ho
% 2.62/0.66 % Preprocessing class: HSMSSMSSMLLNHSN.
% 2.62/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.62/0.66 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 2.62/0.66 % Starting post_as_ho3 with 300s (1) cores
% 2.62/0.66 % Starting new_ho_12 with 300s (1) cores
% 2.62/0.66 % Starting new_bool_2 with 300s (1) cores
% 2.62/0.66 % new_bool_2 with pid 3374836 completed with status 0
% 2.62/0.66 % Result found by new_bool_2
% 2.62/0.66 % Preprocessing class: HSMSSMSSMLLNHSN.
% 2.62/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.62/0.66 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 2.62/0.66 % Starting post_as_ho3 with 300s (1) cores
% 2.62/0.66 % Starting new_ho_12 with 300s (1) cores
% 2.62/0.66 % Starting new_bool_2 with 300s (1) cores
% 2.62/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.62/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.62/0.66 % Search class: HHHNM-FFMS21-DHSSMFNN
% 2.62/0.66 % partial match(3): HHHNM-FFSF21-SHSSMFNN
% 2.62/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.62/0.66 % Starting SubtermCWHack with 31s (1) cores
% 2.62/0.66 % SubtermCWHack with pid 3374841 completed with status 0
% 2.62/0.66 % Result found by SubtermCWHack
% 2.62/0.66 % Preprocessing class: HSMSSMSSMLLNHSN.
% 2.62/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.62/0.66 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 2.62/0.66 % Starting post_as_ho3 with 300s (1) cores
% 2.62/0.66 % Starting new_ho_12 with 300s (1) cores
% 2.62/0.66 % Starting new_bool_2 with 300s (1) cores
% 2.62/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 2.62/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 2.62/0.66 % Search class: HHHNM-FFMS21-DHSSMFNN
% 2.62/0.66 % partial match(3): HHHNM-FFSF21-SHSSMFNN
% 2.62/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 2.62/0.66 % Starting SubtermCWHack with 31s (1) cores
% 2.62/0.66 % Preprocessing time : 0.002 s
% 2.62/0.66
% 2.62/0.66 % Proof found!
% 2.62/0.66 % SZS status Theorem
% 2.62/0.66 % SZS output start CNFRefutation
% See solution above
% 2.62/0.66 % Parsed axioms : 95
% 2.62/0.66 % Removed by relevancy pruning/SinE : 70
% 2.62/0.66 % Initial clauses : 27
% 2.62/0.66 % Removed in clause preprocessing : 0
% 2.62/0.66 % Initial clauses in saturation : 27
% 2.62/0.66 % Processed clauses : 495
% 2.62/0.66 % ...of these trivial : 0
% 2.62/0.66 % ...subsumed : 0
% 2.62/0.66 % ...remaining for further processing : 495
% 2.62/0.66 % Other redundant clauses eliminated : 0
% 2.62/0.66 % Clauses deleted for lack of memory : 0
% 2.62/0.66 % Backward-subsumed : 21
% 2.62/0.66 % Backward-rewritten : 0
% 2.62/0.66 % Generated clauses : 500
% 2.62/0.66 % ...of the previous two non-redundant : 496
% 2.62/0.66 % ...aggressively subsumed : 0
% 2.62/0.66 % Contextual simplify-reflections : 0
% 2.62/0.66 % Paramodulations : 500
% 2.62/0.66 % Factorizations : 0
% 2.62/0.66 % NegExts : 0
% 2.62/0.66 % Equation resolutions : 0
% 2.62/0.66 % Disequality decompositions : 0
% 2.62/0.66 % Total rewrite steps : 5
% 2.62/0.66 % ...of those cached : 0
% 2.62/0.66 % Propositional unsat checks : 0
% 2.62/0.66 % Propositional check models : 0
% 2.62/0.66 % Propositional check unsatisfiable : 0
% 2.62/0.66 % Propositional clauses : 0
% 2.62/0.66 % Propositional clauses after purity: 0
% 2.62/0.66 % Propositional unsat core size : 0
% 2.62/0.66 % Propositional preprocessing time : 0.000
% 2.62/0.66 % Propositional encoding time : 0.000
% 2.62/0.66 % Propositional solver time : 0.000
% 2.62/0.66 % Success case prop preproc time : 0.000
% 2.62/0.66 % Success case prop encoding time : 0.000
% 2.62/0.66 % Success case prop solver time : 0.000
% 2.62/0.66 % Current number of processed clauses : 474
% 2.62/0.66 % Positive orientable unit clauses : 15
% 2.62/0.66 % Positive unorientable unit clauses: 0
% 2.62/0.66 % Negative unit clauses : 1
% 2.62/0.66 % Non-unit-clauses : 458
% 2.62/0.66 % Current number of unprocessed clauses: 28
% 2.62/0.66 % ...number of literals in the above : 175
% 2.62/0.66 % Current number of archived formulas : 0
% 2.62/0.66 % Current number of archived clauses : 21
% 2.62/0.66 % Clause-clause subsumption calls (NU) : 134334
% 2.62/0.66 % Rec. Clause-clause subsumption calls : 3641
% 2.62/0.66 % Non-unit clause-clause subsumptions : 21
% 2.62/0.66 % Unit Clause-clause subsumption calls : 10
% 2.62/0.66 % Rewrite failures with RHS unbound : 0
% 2.62/0.66 % BW rewrite match attempts : 0
% 2.62/0.66 % BW rewrite match successes : 0
% 2.62/0.66 % Condensation attempts : 0
% 2.62/0.66 % Condensation successes : 0
% 2.62/0.66 % Termbank termtop insertions : 265352
% 2.62/0.66 % Search garbage collected termcells : 5044
% 2.62/0.66
% 2.62/0.66 % -------------------------------------------------
% 2.62/0.66 % User time : 0.287 s
% 2.62/0.66 % System time : 0.007 s
% 2.62/0.66 % Total time : 0.294 s
% 2.62/0.66 % Maximum resident set size: 4508 pages
% 2.62/0.66
% 2.62/0.66 % -------------------------------------------------
% 2.62/0.66 % User time : 0.291 s
% 2.62/0.66 % System time : 0.011 s
% 2.62/0.66 % Total time : 0.302 s
% 2.62/0.66 % Maximum resident set size: 4864 pages
% 2.62/0.66 % E exiting
%------------------------------------------------------------------------------