%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU600^2 : 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 : n003.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 08:24:40 AM UTC 2026
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 84 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 279 ( 9 equ; 0 cnn)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 3035 ( 126 ~; 135 |; 12 &;2700 @)
% ( 8 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 42 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 104 ( 0 ^; 104 !; 0 ?; 104 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
in: $i > $i > $o ).
thf(decl_24,type,
subset: $i > $i > $o ).
thf(decl_25,type,
subsetI1: $o ).
thf(decl_26,type,
setextsub: $o ).
thf(decl_27,type,
binunion: $i > $i > $i ).
thf(decl_28,type,
binunionIL: $o ).
thf(decl_29,type,
binunionIR: $o ).
thf(decl_30,type,
binunionEcases: $o ).
thf(decl_31,type,
binintersect: $i > $i > $i ).
thf(decl_32,type,
binintersectI: $o ).
thf(decl_33,type,
binintersectEL: $o ).
thf(decl_34,type,
binintersectER: $o ).
thf(decl_35,type,
esk1_2: $i > $i > $i ).
thf(decl_36,type,
esk2_0: $i ).
thf(decl_37,type,
esk3_0: $i ).
thf(decl_38,type,
esk4_0: $i ).
thf(bs114d,conjecture,
( subsetI1
=> ( setextsub
=> ( binunionIL
=> ( binunionIR
=> ( binunionEcases
=> ( binintersectI
=> ( binintersectEL
=> ( binintersectER
=> ! [X1: $i,X2: $i,X5: $i] :
( ( binintersect @ X1 @ ( binunion @ X2 @ X5 ) )
= ( binunion @ ( binintersect @ X1 @ X2 ) @ ( binintersect @ X1 @ X5 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',bs114d) ).
thf(binintersectI,axiom,
( binintersectI
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ X1 )
=> ( ( in @ X3 @ X2 )
=> ( in @ X3 @ ( binintersect @ X1 @ X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binintersectI) ).
thf(binintersectEL,axiom,
( binintersectEL
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
=> ( in @ X3 @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binintersectEL) ).
thf(binunionEcases,axiom,
( binunionEcases
<=> ! [X1: $i,X2: $i,X3: $i,X4: $o] :
( ( in @ X3 @ ( binunion @ X1 @ X2 ) )
=> ( ( ( in @ X3 @ X1 )
=> X4 )
=> ( ( ( in @ X3 @ X2 )
=> X4 )
=> X4 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binunionEcases) ).
thf(binunionIR,axiom,
( binunionIR
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ X2 )
=> ( in @ X3 @ ( binunion @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binunionIR) ).
thf(binunionIL,axiom,
( binunionIL
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ X3 @ ( binunion @ X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binunionIL) ).
thf(subsetI1,axiom,
( subsetI1
<=> ! [X1: $i,X2: $i] :
( ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ X3 @ X2 ) )
=> ( subset @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',subsetI1) ).
thf(setextsub,axiom,
( setextsub
<=> ! [X1: $i,X2: $i] :
( ( subset @ X1 @ X2 )
=> ( ( subset @ X2 @ X1 )
=> ( X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',setextsub) ).
thf(binintersectER,axiom,
( binintersectER
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( in @ X3 @ ( binintersect @ X1 @ X2 ) )
=> ( in @ X3 @ X2 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.7U17JIXnA9/E---3.1_2543617.p',binintersectER) ).
thf(c_0_9,negated_conjecture,
~ ( subsetI1
=> ( setextsub
=> ( binunionIL
=> ( binunionIR
=> ( binunionEcases
=> ( binintersectI
=> ( binintersectEL
=> ( binintersectER
=> ! [X1: $i,X2: $i,X5: $i] :
( ( binintersect @ X1 @ ( binunion @ X2 @ X5 ) )
= ( binunion @ ( binintersect @ X1 @ X2 ) @ ( binintersect @ X1 @ X5 ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[bs114d]) ).
thf(c_0_10,negated_conjecture,
~ ( ! [X33: $i,X34: $i] :
( ! [X35: $i] :
( ( in @ X35 @ X33 )
=> ( in @ X35 @ X34 ) )
=> ( subset @ X33 @ X34 ) )
=> ( ! [X36: $i,X37: $i] :
( ( subset @ X36 @ X37 )
=> ( ( subset @ X37 @ X36 )
=> ( X36 = X37 ) ) )
=> ( ! [X38: $i,X39: $i,X40: $i] :
( ( in @ X40 @ X38 )
=> ( in @ X40 @ ( binunion @ X38 @ X39 ) ) )
=> ( ! [X41: $i,X42: $i,X43: $i] :
( ( in @ X43 @ X42 )
=> ( in @ X43 @ ( binunion @ X41 @ X42 ) ) )
=> ( ! [X44: $i,X45: $i,X46: $i,X47: $o] :
( ( in @ X46 @ ( binunion @ X44 @ X45 ) )
=> ( ( ( in @ X46 @ X44 )
=> X47 )
=> ( ( ( in @ X46 @ X45 )
=> X47 )
=> X47 ) ) )
=> ( ! [X48: $i,X49: $i,X50: $i] :
( ( in @ X50 @ X48 )
=> ( ( in @ X50 @ X49 )
=> ( in @ X50 @ ( binintersect @ X48 @ X49 ) ) ) )
=> ( ! [X51: $i,X52: $i,X53: $i] :
( ( in @ X53 @ ( binintersect @ X51 @ X52 ) )
=> ( in @ X53 @ X51 ) )
=> ( ! [X54: $i,X55: $i,X56: $i] :
( ( in @ X56 @ ( binintersect @ X54 @ X55 ) )
=> ( in @ X56 @ X55 ) )
=> ! [X1: $i,X2: $i,X5: $i] :
( ( binintersect @ X1 @ ( binunion @ X2 @ X5 ) )
= ( binunion @ ( binintersect @ X1 @ X2 ) @ ( binintersect @ X1 @ X5 ) ) ) ) ) ) ) ) ) ) ),
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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_9,binintersectI]),binintersectEL]),binunionEcases]),binunionIR]),binunionIL]),subsetI1]),setextsub]),binintersectER]) ).
thf(c_0_11,negated_conjecture,
! [X57: $i,X58: $i,X60: $i,X61: $i,X62: $i,X63: $i,X64: $i,X65: $i,X66: $i,X67: $i,X68: $i,X69: $i,X70: $i,X71: $o,X72: $i,X73: $i,X74: $i,X75: $i,X76: $i,X77: $i,X78: $i,X79: $i,X80: $i] :
( ( ( in @ ( esk1_2 @ X57 @ X58 ) @ X57 )
| ( subset @ X57 @ X58 ) )
& ( ~ ( in @ ( esk1_2 @ X57 @ X58 ) @ X58 )
| ( subset @ X57 @ X58 ) )
& ( ~ ( subset @ X60 @ X61 )
| ~ ( subset @ X61 @ X60 )
| ( X60 = X61 ) )
& ( ~ ( in @ X64 @ X62 )
| ( in @ X64 @ ( binunion @ X62 @ X63 ) ) )
& ( ~ ( in @ X67 @ X66 )
| ( in @ X67 @ ( binunion @ X65 @ X66 ) ) )
& ( ( in @ X70 @ X69 )
| X71
| ( in @ X70 @ X68 )
| ~ ( in @ X70 @ ( binunion @ X68 @ X69 ) ) )
& ( ~ X71
| X71
| ( in @ X70 @ X68 )
| ~ ( in @ X70 @ ( binunion @ X68 @ X69 ) ) )
& ( ( in @ X70 @ X69 )
| X71
| ~ X71
| ~ ( in @ X70 @ ( binunion @ X68 @ X69 ) ) )
& ( ~ X71
| X71
| ~ X71
| ~ ( in @ X70 @ ( binunion @ X68 @ X69 ) ) )
& ( ~ ( in @ X74 @ X72 )
| ~ ( in @ X74 @ X73 )
| ( in @ X74 @ ( binintersect @ X72 @ X73 ) ) )
& ( ~ ( in @ X77 @ ( binintersect @ X75 @ X76 ) )
| ( in @ X77 @ X75 ) )
& ( ~ ( in @ X80 @ ( binintersect @ X78 @ X79 ) )
| ( in @ X80 @ X79 ) )
& ( ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) )
!= ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_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_10])])])])])]) ).
thf(c_0_12,negated_conjecture,
( ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) )
!= ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_13,negated_conjecture,
! [X2: $i,X1: $i] :
( ( X1 = X2 )
| ~ ( subset @ X1 @ X2 )
| ~ ( subset @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_14,negated_conjecture,
( ~ ( subset @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) )
| ~ ( subset @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13])]) ).
thf(c_0_15,negated_conjecture,
! [X1: $i,X2: $i] :
( ( in @ ( esk1_2 @ X1 @ X2 ) @ X1 )
| ( subset @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X2: $i] :
( ( subset @ X1 @ X2 )
| ~ ( in @ ( esk1_2 @ X1 @ X2 ) @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) )
| ~ ( subset @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ~ ( subset @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_16]) ).
thf(c_0_19,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ X1 @ X2 )
| ( in @ X1 @ X3 )
| ~ ( in @ X1 @ ( binunion @ X3 @ X2 ) ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])]) ).
thf(c_0_20,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
thf(c_0_21,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
thf(c_0_22,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
thf(c_0_23,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ X1 @ ( binunion @ X2 @ X3 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_24,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_25,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
thf(c_0_26,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ ( binintersect @ X2 @ X3 ) )
| ~ ( in @ X1 @ X2 )
| ~ ( in @ X1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_27,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ X2 )
| ~ ( in @ X1 @ ( binintersect @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_28,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
thf(c_0_29,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ X1 @ ( binunion @ X3 @ X2 ) )
| ~ ( in @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_30,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i,X2: $i,X3: $i] :
( ( in @ X1 @ X3 )
| ~ ( in @ X1 @ ( binintersect @ X2 @ X3 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_32,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_24,c_0_23]) ).
thf(c_0_33,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_34,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
thf(c_0_35,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
thf(c_0_36,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
thf(c_0_37,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
thf(c_0_38,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
thf(c_0_39,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_27,c_0_33]) ).
thf(c_0_40,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_34]) ).
thf(c_0_41,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
thf(c_0_42,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
thf(c_0_43,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
thf(c_0_44,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_38]) ).
thf(c_0_45,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_32]),c_0_27]) ).
thf(c_0_46,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
thf(c_0_47,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_40]) ).
thf(c_0_48,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_39,c_0_23]) ).
thf(c_0_49,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
thf(c_0_50,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_42]) ).
thf(c_0_51,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_36]),c_0_27]) ).
thf(c_0_52,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_23]) ).
thf(c_0_53,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_43,c_0_26]) ).
thf(c_0_54,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
thf(c_0_55,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_45,c_0_26]) ).
thf(c_0_56,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
thf(c_0_57,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_41,c_0_23]) ).
thf(c_0_58,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_49,c_0_26]) ).
thf(c_0_59,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_50,c_0_26]) ).
thf(c_0_60,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_51,c_0_26]) ).
thf(c_0_61,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_52,c_0_26]) ).
thf(c_0_62,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
thf(c_0_63,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_34]),c_0_56]) ).
thf(c_0_64,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_57,c_0_26]) ).
thf(c_0_65,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
thf(c_0_66,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_55]) ).
thf(c_0_67,negated_conjecture,
in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_63]),c_0_56]) ).
thf(c_0_68,negated_conjecture,
( ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_60]) ).
thf(c_0_69,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) ) ),
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
thf(c_0_70,negated_conjecture,
~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
thf(c_0_71,negated_conjecture,
~ ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_67])]) ).
thf(c_0_72,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_33]) ).
thf(c_0_73,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk4_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_69]),c_0_70]),c_0_71]) ).
thf(c_0_74,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_29]) ).
thf(c_0_75,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ) )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_73]) ).
thf(c_0_76,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ ( binunion @ esk3_0 @ esk4_0 ) )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_72,c_0_23]) ).
thf(c_0_77,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_74]) ).
thf(c_0_78,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_31,c_0_75]) ).
thf(c_0_79,negated_conjecture,
( ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk4_0 )
| ( in @ ( esk1_2 @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_19,c_0_76]) ).
thf(c_0_80,negated_conjecture,
( ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk3_0 )
| ~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_71]),c_0_70]) ).
thf(c_0_81,negated_conjecture,
~ ( in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ esk2_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_71]),c_0_70]) ).
thf(c_0_82,negated_conjecture,
in @ ( esk1_2 @ ( binunion @ ( binintersect @ esk2_0 @ esk3_0 ) @ ( binintersect @ esk2_0 @ esk4_0 ) ) @ ( binintersect @ esk2_0 @ ( binunion @ esk3_0 @ esk4_0 ) ) ) @ ( binintersect @ esk2_0 @ esk3_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_73]),c_0_81]) ).
thf(c_0_83,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_82]),c_0_81]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU600^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n003.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:58:28 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 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.7U17JIXnA9/E---3.1_2543617.p
% 0.19/0.36 % Version: 3.5.1-ho
% 0.19/0.36 % Preprocessing class: HSSSSLSSMLSNFFN.
% 0.19/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting new_ho_14 with 1200s (4) cores
% 0.19/0.36 % Starting new_bool_3 with 600s (2) cores
% 0.19/0.36 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.36 % Starting ho_unfolding_6 with 300s (1) cores
% 0.19/0.36 % new_ho_14 with pid 2543630 completed with status 0
% 0.19/0.36 % Result found by new_ho_14
% 0.19/0.36 % Preprocessing class: HSSSSLSSMLSNFFN.
% 0.19/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting new_ho_14 with 1200s (4) cores
% 0.19/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.36 % Search class: HGUSF-FFSF22-SFFSMFNN
% 0.19/0.36 % partial match(1): HGUSF-FFSF22-SFFFMFNN
% 0.19/0.36 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.19/0.36 % Starting SubtermCWHack with 109s (1) cores
% 0.19/0.36 % Starting new_ho_14 with 121s (1) cores
% 0.19/0.36 % Starting sh5l with 109s (1) cores
% 0.19/0.36 % Starting ehoh_best_sine_rwall with 109s (1) cores
% 0.19/0.36 % new_ho_14 with pid 2543637 completed with status 0
% 0.19/0.36 % Result found by new_ho_14
% 0.19/0.36 % Preprocessing class: HSSSSLSSMLSNFFN.
% 0.19/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.36 % Starting new_ho_14 with 1200s (4) cores
% 0.19/0.36 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = gf500_gu_R04_F100_L20000)
% 0.19/0.36 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.36 % Search class: HGUSF-FFSF22-SFFSMFNN
% 0.19/0.36 % partial match(1): HGUSF-FFSF22-SFFFMFNN
% 0.19/0.36 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.19/0.36 % Starting SubtermCWHack with 109s (1) cores
% 0.19/0.36 % Starting new_ho_14 with 121s (1) cores
% 0.19/0.36 % Preprocessing time : 0.001 s
% 0.19/0.36 % Presaturation interreduction done
% 0.19/0.36
% 0.19/0.36 % Proof found!
% 0.19/0.36 % SZS status Theorem
% 0.19/0.36 % SZS output start CNFRefutation
% See solution above
% 0.19/0.36 % Parsed axioms : 21
% 0.19/0.36 % Removed by relevancy pruning/SinE : 12
% 0.19/0.36 % Initial clauses : 13
% 0.19/0.36 % Removed in clause preprocessing : 3
% 0.19/0.36 % Initial clauses in saturation : 10
% 0.19/0.36 % Processed clauses : 764
% 0.19/0.36 % ...of these trivial : 0
% 0.19/0.36 % ...subsumed : 318
% 0.19/0.36 % ...remaining for further processing : 446
% 0.19/0.36 % Other redundant clauses eliminated : 40
% 0.19/0.36 % Clauses deleted for lack of memory : 0
% 0.19/0.36 % Backward-subsumed : 66
% 0.19/0.36 % Backward-rewritten : 8
% 0.19/0.36 % Generated clauses : 5831
% 0.19/0.36 % ...of the previous two non-redundant : 5747
% 0.19/0.36 % ...aggressively subsumed : 0
% 0.19/0.36 % Contextual simplify-reflections : 10
% 0.19/0.36 % Paramodulations : 5790
% 0.19/0.36 % Factorizations : 0
% 0.19/0.36 % NegExts : 0
% 0.19/0.36 % Equation resolutions : 40
% 0.19/0.36 % Disequality decompositions : 0
% 0.19/0.36 % Total rewrite steps : 8
% 0.19/0.36 % ...of those cached : 5
% 0.19/0.36 % Propositional unsat checks : 0
% 0.19/0.36 % Propositional check models : 0
% 0.19/0.36 % Propositional check unsatisfiable : 0
% 0.19/0.36 % Propositional clauses : 0
% 0.19/0.36 % Propositional clauses after purity: 0
% 0.19/0.36 % Propositional unsat core size : 0
% 0.19/0.36 % Propositional preprocessing time : 0.000
% 0.19/0.36 % Propositional encoding time : 0.000
% 0.19/0.36 % Propositional solver time : 0.000
% 0.19/0.36 % Success case prop preproc time : 0.000
% 0.19/0.36 % Success case prop encoding time : 0.000
% 0.19/0.36 % Success case prop solver time : 0.000
% 0.19/0.36 % Current number of processed clauses : 361
% 0.19/0.36 % Positive orientable unit clauses : 3
% 0.19/0.36 % Positive unorientable unit clauses: 0
% 0.19/0.36 % Negative unit clauses : 4
% 0.19/0.36 % Non-unit-clauses : 354
% 0.19/0.36 % Current number of unprocessed clauses: 4989
% 0.19/0.36 % ...number of literals in the above : 25965
% 0.19/0.36 % Current number of archived formulas : 0
% 0.19/0.36 % Current number of archived clauses : 85
% 0.19/0.36 % Clause-clause subsumption calls (NU) : 17081
% 0.19/0.36 % Rec. Clause-clause subsumption calls : 5588
% 0.19/0.36 % Non-unit clause-clause subsumptions : 380
% 0.19/0.36 % Unit Clause-clause subsumption calls : 311
% 0.19/0.36 % Rewrite failures with RHS unbound : 0
% 0.19/0.36 % BW rewrite match attempts : 8
% 0.19/0.36 % BW rewrite match successes : 3
% 0.19/0.36 % Condensation attempts : 0
% 0.19/0.36 % Condensation successes : 0
% 0.19/0.36 % Termbank termtop insertions : 191496
% 0.19/0.36 % Search garbage collected termcells : 682
% 0.19/0.36
% 0.19/0.36 % -------------------------------------------------
% 0.19/0.36 % User time : 0.114 s
% 0.19/0.36 % System time : 0.005 s
% 0.19/0.36 % Total time : 0.120 s
% 0.19/0.36 % Maximum resident set size: 3596 pages
% 0.19/0.36
% 0.19/0.36 % -------------------------------------------------
% 0.19/0.36 % User time : 0.407 s
% 0.19/0.36 % System time : 0.026 s
% 0.19/0.36 % Total time : 0.433 s
% 0.19/0.36 % Maximum resident set size: 4608 pages
% 0.19/0.36 % E exiting
%------------------------------------------------------------------------------