TSTP Solution File: SEU757^2 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SEU757^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 03:29:56 EDT 2024
% Result : Theorem 0.20s 0.53s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 23
% Syntax : Number of formulae : 57 ( 6 unt; 16 typ; 0 def)
% Number of atoms : 286 ( 36 equ; 0 cnn)
% Maximal formula atoms : 66 ( 6 avg)
% Number of connectives : 1736 ( 138 ~; 165 |; 16 &;1353 @)
% ( 6 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 155 ( 0 ^ 155 !; 0 ?; 155 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_22,type,
in: $i > $i > $o ).
thf(decl_23,type,
powerset: $i > $i ).
thf(decl_24,type,
binunion: $i > $i > $i ).
thf(decl_25,type,
binintersect: $i > $i > $i ).
thf(decl_26,type,
setminus: $i > $i > $i ).
thf(decl_27,type,
binintersectT_lem: $o ).
thf(decl_28,type,
binunionT_lem: $o ).
thf(decl_29,type,
complementT_lem: $o ).
thf(decl_30,type,
setextT: $o ).
thf(decl_31,type,
demorgan2a: $o ).
thf(decl_32,type,
demorgan2b: $o ).
thf(decl_33,type,
esk1_3: $i > $i > $i > $i ).
thf(decl_34,type,
esk2_3: $i > $i > $i > $i ).
thf(decl_35,type,
esk3_0: $i ).
thf(decl_36,type,
esk4_0: $i ).
thf(decl_37,type,
esk5_0: $i ).
thf(demorgan2,conjecture,
( binintersectT_lem
=> ( binunionT_lem
=> ( complementT_lem
=> ( setextT
=> ( demorgan2a
=> ( demorgan2b
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( ( setminus @ X1 @ ( binunion @ X2 @ X3 ) )
= ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan2) ).
thf(demorgan2b,axiom,
( demorgan2b
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( in @ X4 @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) )
=> ( in @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan2b) ).
thf(binintersectT_lem,axiom,
( binintersectT_lem
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( in @ ( binintersect @ X2 @ X3 ) @ ( powerset @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binintersectT_lem) ).
thf(binunionT_lem,axiom,
( binunionT_lem
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( in @ ( binunion @ X2 @ X3 ) @ ( powerset @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',binunionT_lem) ).
thf(complementT_lem,axiom,
( complementT_lem
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ( in @ ( setminus @ X1 @ X2 ) @ ( powerset @ X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complementT_lem) ).
thf(setextT,axiom,
( setextT
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( in @ X4 @ X2 )
=> ( in @ X4 @ X3 ) ) )
=> ( ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( in @ X4 @ X3 )
=> ( in @ X4 @ X2 ) ) )
=> ( X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setextT) ).
thf(demorgan2a,axiom,
( demorgan2a
<=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( in @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
=> ( in @ X4 @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',demorgan2a) ).
thf(c_0_7,negated_conjecture,
~ ( ! [X29: $i,X30: $i] :
( ( in @ X30 @ ( powerset @ X29 ) )
=> ! [X31: $i] :
( ( in @ X31 @ ( powerset @ X29 ) )
=> ( in @ ( binintersect @ X30 @ X31 ) @ ( powerset @ X29 ) ) ) )
=> ( ! [X32: $i,X33: $i] :
( ( in @ X33 @ ( powerset @ X32 ) )
=> ! [X34: $i] :
( ( in @ X34 @ ( powerset @ X32 ) )
=> ( in @ ( binunion @ X33 @ X34 ) @ ( powerset @ X32 ) ) ) )
=> ( ! [X35: $i,X36: $i] :
( ( in @ X36 @ ( powerset @ X35 ) )
=> ( in @ ( setminus @ X35 @ X36 ) @ ( powerset @ X35 ) ) )
=> ( ! [X37: $i,X38: $i] :
( ( in @ X38 @ ( powerset @ X37 ) )
=> ! [X39: $i] :
( ( in @ X39 @ ( powerset @ X37 ) )
=> ( ! [X40: $i] :
( ( in @ X40 @ X37 )
=> ( ( in @ X40 @ X38 )
=> ( in @ X40 @ X39 ) ) )
=> ( ! [X41: $i] :
( ( in @ X41 @ X37 )
=> ( ( in @ X41 @ X39 )
=> ( in @ X41 @ X38 ) ) )
=> ( X38 = X39 ) ) ) ) )
=> ( ! [X42: $i,X43: $i] :
( ( in @ X43 @ ( powerset @ X42 ) )
=> ! [X44: $i] :
( ( in @ X44 @ ( powerset @ X42 ) )
=> ! [X45: $i] :
( ( in @ X45 @ X42 )
=> ( ( in @ X45 @ ( setminus @ X42 @ ( binunion @ X43 @ X44 ) ) )
=> ( in @ X45 @ ( binintersect @ ( setminus @ X42 @ X43 ) @ ( setminus @ X42 @ X44 ) ) ) ) ) ) )
=> ( ! [X46: $i,X47: $i] :
( ( in @ X47 @ ( powerset @ X46 ) )
=> ! [X48: $i] :
( ( in @ X48 @ ( powerset @ X46 ) )
=> ! [X49: $i] :
( ( in @ X49 @ X46 )
=> ( ( in @ X49 @ ( binintersect @ ( setminus @ X46 @ X47 ) @ ( setminus @ X46 @ X48 ) ) )
=> ( in @ X49 @ ( setminus @ X46 @ ( binunion @ X47 @ X48 ) ) ) ) ) ) )
=> ! [X1: $i,X2: $i] :
( ( in @ X2 @ ( powerset @ X1 ) )
=> ! [X3: $i] :
( ( in @ X3 @ ( powerset @ X1 ) )
=> ( ( setminus @ X1 @ ( binunion @ X2 @ X3 ) )
= ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) ) ) ) ) ) ) ) ),
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(assume_negation,[status(cth)],[demorgan2]),demorgan2b]),binintersectT_lem]),binunionT_lem]),complementT_lem]),setextT]),demorgan2a]) ).
thf(c_0_8,negated_conjecture,
! [X50: $i,X51: $i,X52: $i,X53: $i,X54: $i,X55: $i,X56: $i,X57: $i,X58: $i,X59: $i,X60: $i,X63: $i,X64: $i,X65: $i,X66: $i,X67: $i,X68: $i,X69: $i,X70: $i] :
( ( ~ ( in @ X51 @ ( powerset @ X50 ) )
| ~ ( in @ X52 @ ( powerset @ X50 ) )
| ( in @ ( binintersect @ X51 @ X52 ) @ ( powerset @ X50 ) ) )
& ( ~ ( in @ X54 @ ( powerset @ X53 ) )
| ~ ( in @ X55 @ ( powerset @ X53 ) )
| ( in @ ( binunion @ X54 @ X55 ) @ ( powerset @ X53 ) ) )
& ( ~ ( in @ X57 @ ( powerset @ X56 ) )
| ( in @ ( setminus @ X56 @ X57 ) @ ( powerset @ X56 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X58 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X58 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X60 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X58 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ~ ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X59 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X58 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X58 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X59 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X60 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X59 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ~ ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X59 )
| ( X59 = X60 )
| ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X59 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X58 )
| ( X59 = X60 )
| ~ ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X60 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X60 )
| ( X59 = X60 )
| ~ ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X60 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ~ ( in @ ( esk2_3 @ X58 @ X59 @ X60 ) @ X59 )
| ( X59 = X60 )
| ~ ( in @ ( esk1_3 @ X58 @ X59 @ X60 ) @ X60 )
| ~ ( in @ X60 @ ( powerset @ X58 ) )
| ~ ( in @ X59 @ ( powerset @ X58 ) ) )
& ( ~ ( in @ X64 @ ( powerset @ X63 ) )
| ~ ( in @ X65 @ ( powerset @ X63 ) )
| ~ ( in @ X66 @ X63 )
| ~ ( in @ X66 @ ( setminus @ X63 @ ( binunion @ X64 @ X65 ) ) )
| ( in @ X66 @ ( binintersect @ ( setminus @ X63 @ X64 ) @ ( setminus @ X63 @ X65 ) ) ) )
& ( ~ ( in @ X68 @ ( powerset @ X67 ) )
| ~ ( in @ X69 @ ( powerset @ X67 ) )
| ~ ( in @ X70 @ X67 )
| ~ ( in @ X70 @ ( binintersect @ ( setminus @ X67 @ X68 ) @ ( setminus @ X67 @ X69 ) ) )
| ( in @ X70 @ ( setminus @ X67 @ ( binunion @ X68 @ X69 ) ) ) )
& ( in @ esk4_0 @ ( powerset @ esk3_0 ) )
& ( in @ esk5_0 @ ( powerset @ esk3_0 ) )
& ( ( setminus @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) )
!= ( binintersect @ ( setminus @ esk3_0 @ esk4_0 ) @ ( setminus @ esk3_0 @ esk5_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_7])])])])])]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X3: $i] :
( ( in @ X4 @ ( setminus @ X2 @ ( binunion @ X1 @ X3 ) ) )
| ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ X2 )
| ~ ( in @ X4 @ ( binintersect @ ( setminus @ X2 @ X1 ) @ ( setminus @ X2 @ X3 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_10,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X3 )
| ( X2 = X3 )
| ~ ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X3 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( X2 = X3 )
| ~ ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X3 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
! [X1: $i,X3: $i,X4: $i,X2: $i,X5: $i] :
( ( X1
= ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) )
| ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ ( setminus @ X2 @ ( binunion @ X3 @ X4 ) ) )
| ~ ( in @ ( esk1_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) )
| ~ ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ X2 )
| ~ ( in @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) @ ( powerset @ X5 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X3 )
| ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_14,negated_conjecture,
! [X4: $i,X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk1_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) )
| ~ ( in @ ( esk2_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X1 )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X1 )
| ( X2 = X3 )
| ~ ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X3 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_16,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i,X3: $i,X4: $i,X2: $i,X5: $i] :
( ( X1
= ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) )
| ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ ( setminus @ X2 @ ( binunion @ X3 @ X4 ) ) )
| ( in @ ( esk1_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ X1 )
| ~ ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ X2 )
| ~ ( in @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) @ ( powerset @ X5 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X3 )
| ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X1 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_19,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk1_3 @ X1 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i,X2: $i,X4: $i,X3: $i] :
( ( in @ X4 @ ( binintersect @ ( setminus @ X2 @ X1 ) @ ( setminus @ X2 @ X3 ) ) )
| ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X4 @ X2 )
| ~ ( in @ X4 @ ( setminus @ X2 @ ( binunion @ X1 @ X3 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_21,negated_conjecture,
! [X4: $i,X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ( in @ ( esk1_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk2_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X1 )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_22,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X1 )
| ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_23,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X1 )
| ~ ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X2 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_24,negated_conjecture,
! [X1: $i,X3: $i,X4: $i,X2: $i,X5: $i] :
( ( X1
= ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) )
| ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ ( setminus @ X2 @ ( binunion @ X3 @ X4 ) ) )
| ( in @ ( esk1_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ X5 )
| ~ ( in @ ( esk2_3 @ X5 @ X1 @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) ) @ X2 )
| ~ ( in @ ( binintersect @ ( setminus @ X2 @ X3 ) @ ( setminus @ X2 @ X4 ) ) @ ( powerset @ X5 ) )
| ~ ( in @ X4 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X5 ) ) ),
inference(spm,[status(thm)],[c_0_9,c_0_18]) ).
thf(c_0_25,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk1_3 @ X1 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk1_3 @ X1 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X1 )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_26,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ( in @ ( esk1_3 @ X1 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_27,negated_conjecture,
! [X4: $i,X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ( in @ ( esk1_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X4 )
| ~ ( in @ ( esk2_3 @ X4 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X1 )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X4 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_28,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( in @ ( esk2_3 @ X1 @ X2 @ X3 ) @ X1 )
| ( X2 = X3 )
| ( in @ ( esk1_3 @ X1 @ X2 @ X3 ) @ X1 )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_29,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( esk1_3 @ X1 @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) ) @ X1 )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
thf(c_0_30,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
thf(c_0_31,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ ( binintersect @ X1 @ X3 ) @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_32,negated_conjecture,
! [X1: $i,X2: $i] :
( ( in @ ( setminus @ X2 @ X1 ) @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_33,negated_conjecture,
( ( setminus @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) )
!= ( binintersect @ ( setminus @ esk3_0 @ esk4_0 ) @ ( setminus @ esk3_0 @ esk5_0 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_34,negated_conjecture,
! [X3: $i,X2: $i,X1: $i] :
( ( ( binintersect @ ( setminus @ X1 @ X2 ) @ ( setminus @ X1 @ X3 ) )
= ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) )
| ~ ( in @ ( setminus @ X1 @ ( binunion @ X2 @ X3 ) ) @ ( powerset @ X1 ) )
| ~ ( in @ X3 @ ( powerset @ X1 ) )
| ~ ( in @ X2 @ ( powerset @ X1 ) ) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_32]) ).
thf(c_0_35,negated_conjecture,
in @ esk5_0 @ ( powerset @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_36,negated_conjecture,
in @ esk4_0 @ ( powerset @ esk3_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_37,negated_conjecture,
~ ( in @ ( setminus @ esk3_0 @ ( binunion @ esk4_0 @ esk5_0 ) ) @ ( powerset @ esk3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).
thf(c_0_38,negated_conjecture,
~ ( in @ ( binunion @ esk4_0 @ esk5_0 ) @ ( powerset @ esk3_0 ) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
thf(c_0_39,negated_conjecture,
! [X1: $i,X3: $i,X2: $i] :
( ( in @ ( binunion @ X1 @ X3 ) @ ( powerset @ X2 ) )
| ~ ( in @ X1 @ ( powerset @ X2 ) )
| ~ ( in @ X3 @ ( powerset @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU757^2 : TPTP v8.2.0. Released v3.7.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 17:35:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.50 Running higher-order theorem proving
% 0.20/0.50 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/benchmark/theBenchmark.p
% 0.20/0.53 # Version: 3.1.0-ho
% 0.20/0.53 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.20/0.53 # Starting post_as_ho8 with 300s (1) cores
% 0.20/0.53 # Starting post_as_ho3 with 300s (1) cores
% 0.20/0.53 # Starting post_as_ho2 with 300s (1) cores
% 0.20/0.53 # post_as_ho8 with pid 1902 completed with status 0
% 0.20/0.53 # Result found by post_as_ho8
% 0.20/0.53 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.20/0.53 # Starting post_as_ho8 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.20/0.53 # Search class: HGUSF-FFMF32-SFFFMFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting full_lambda_5 with 163s (1) cores
% 0.20/0.53 # full_lambda_5 with pid 1905 completed with status 0
% 0.20/0.53 # Result found by full_lambda_5
% 0.20/0.53 # Preprocessing class: HSSSSLSSSLSNFFN.
% 0.20/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53 # Starting lpo6_lambda_fix with 1500s (5) cores
% 0.20/0.53 # Starting post_as_ho8 with 300s (1) cores
% 0.20/0.53 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
% 0.20/0.53 # Search class: HGUSF-FFMF32-SFFFMFNN
% 0.20/0.53 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.53 # Starting full_lambda_5 with 163s (1) cores
% 0.20/0.53 # Preprocessing time : 0.001 s
% 0.20/0.53 # Presaturation interreduction done
% 0.20/0.53
% 0.20/0.53 # Proof found!
% 0.20/0.53 # SZS status Theorem
% 0.20/0.53 # SZS output start CNFRefutation
% See solution above
% 0.20/0.53 # Parsed axioms : 18
% 0.20/0.53 # Removed by relevancy pruning/SinE : 11
% 0.20/0.53 # Initial clauses : 17
% 0.20/0.53 # Removed in clause preprocessing : 0
% 0.20/0.53 # Initial clauses in saturation : 17
% 0.20/0.53 # Processed clauses : 78
% 0.20/0.53 # ...of these trivial : 0
% 0.20/0.53 # ...subsumed : 10
% 0.20/0.53 # ...remaining for further processing : 68
% 0.20/0.53 # Other redundant clauses eliminated : 0
% 0.20/0.53 # Clauses deleted for lack of memory : 0
% 0.20/0.53 # Backward-subsumed : 7
% 0.20/0.53 # Backward-rewritten : 0
% 0.20/0.53 # Generated clauses : 141
% 0.20/0.53 # ...of the previous two non-redundant : 137
% 0.20/0.53 # ...aggressively subsumed : 0
% 0.20/0.53 # Contextual simplify-reflections : 3
% 0.20/0.53 # Paramodulations : 141
% 0.20/0.53 # Factorizations : 0
% 0.20/0.53 # NegExts : 0
% 0.20/0.53 # Equation resolutions : 0
% 0.20/0.53 # Disequality decompositions : 0
% 0.20/0.53 # Total rewrite steps : 4
% 0.20/0.53 # ...of those cached : 2
% 0.20/0.53 # Propositional unsat checks : 0
% 0.20/0.53 # Propositional check models : 0
% 0.20/0.53 # Propositional check unsatisfiable : 0
% 0.20/0.53 # Propositional clauses : 0
% 0.20/0.53 # Propositional clauses after purity: 0
% 0.20/0.53 # Propositional unsat core size : 0
% 0.20/0.53 # Propositional preprocessing time : 0.000
% 0.20/0.53 # Propositional encoding time : 0.000
% 0.20/0.53 # Propositional solver time : 0.000
% 0.20/0.53 # Success case prop preproc time : 0.000
% 0.20/0.53 # Success case prop encoding time : 0.000
% 0.20/0.53 # Success case prop solver time : 0.000
% 0.20/0.53 # Current number of processed clauses : 44
% 0.20/0.53 # Positive orientable unit clauses : 2
% 0.20/0.53 # Positive unorientable unit clauses: 0
% 0.20/0.53 # Negative unit clauses : 3
% 0.20/0.53 # Non-unit-clauses : 39
% 0.20/0.53 # Current number of unprocessed clauses: 93
% 0.20/0.53 # ...number of literals in the above : 787
% 0.20/0.53 # Current number of archived formulas : 0
% 0.20/0.53 # Current number of archived clauses : 24
% 0.20/0.53 # Clause-clause subsumption calls (NU) : 1468
% 0.20/0.53 # Rec. Clause-clause subsumption calls : 62
% 0.20/0.53 # Non-unit clause-clause subsumptions : 20
% 0.20/0.53 # Unit Clause-clause subsumption calls : 1
% 0.20/0.53 # Rewrite failures with RHS unbound : 0
% 0.20/0.53 # BW rewrite match attempts : 0
% 0.20/0.53 # BW rewrite match successes : 0
% 0.20/0.53 # Condensation attempts : 0
% 0.20/0.53 # Condensation successes : 0
% 0.20/0.53 # Termbank termtop insertions : 15245
% 0.20/0.53 # Search garbage collected termcells : 842
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.024 s
% 0.20/0.53 # System time : 0.003 s
% 0.20/0.53 # Total time : 0.026 s
% 0.20/0.53 # Maximum resident set size: 2068 pages
% 0.20/0.53
% 0.20/0.53 # -------------------------------------------------
% 0.20/0.53 # User time : 0.026 s
% 0.20/0.53 # System time : 0.004 s
% 0.20/0.53 # Total time : 0.030 s
% 0.20/0.53 # Maximum resident set size: 1708 pages
% 0.20/0.53 % E---3.1 exiting
% 0.20/0.54 % E exiting
%------------------------------------------------------------------------------