TSTP Solution File: SET807+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET807+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n027.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 : 600s
% DateTime : Tue Jul 19 00:14:18 EDT 2022
% Result : Theorem 8.20s 2.49s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 46 ( 3 avg)
% Number of connectives : 168 ( 65 ~; 74 |; 21 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 69 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV18a,conjecture,
! [X4] : pre_order(subset_predicate,power_set(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV18a) ).
fof(power_set,axiom,
! [X3,X1] :
( member(X3,power_set(X1))
<=> subset(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).
fof(rel_subset,hypothesis,
! [X3,X5] :
( apply(subset_predicate,X3,X5)
<=> subset(X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rel_subset) ).
fof(pre_order,axiom,
! [X7,X4] :
( pre_order(X7,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X7,X3,X3) )
& ! [X3,X5,X6] :
( ( member(X3,X4)
& member(X5,X4)
& member(X6,X4) )
=> ( ( apply(X7,X3,X5)
& apply(X7,X5,X6) )
=> apply(X7,X3,X6) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+2.ax',pre_order) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_5,negated_conjecture,
~ ! [X4] : pre_order(subset_predicate,power_set(X4)),
inference(assume_negation,[status(cth)],[thIV18a]) ).
fof(c_0_6,plain,
! [X16,X17] :
( ( ~ member(X16,power_set(X17))
| subset(X16,X17) )
& ( ~ subset(X16,X17)
| member(X16,power_set(X17)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[power_set])]) ).
fof(c_0_7,hypothesis,
! [X85,X86] :
( ( ~ apply(subset_predicate,X85,X86)
| subset(X85,X86) )
& ( ~ subset(X85,X86)
| apply(subset_predicate,X85,X86) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rel_subset])]) ).
fof(c_0_8,negated_conjecture,
~ pre_order(subset_predicate,power_set(esk15_0)),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X73,X74,X75,X76,X77,X78,X79,X80] :
( ( ~ member(X75,X74)
| apply(X73,X75,X75)
| ~ pre_order(X73,X74) )
& ( ~ member(X76,X74)
| ~ member(X77,X74)
| ~ member(X78,X74)
| ~ apply(X73,X76,X77)
| ~ apply(X73,X77,X78)
| apply(X73,X76,X78)
| ~ pre_order(X73,X74) )
& ( member(esk12_2(X79,X80),X80)
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( member(esk13_2(X79,X80),X80)
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( member(esk14_2(X79,X80),X80)
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( apply(X79,esk12_2(X79,X80),esk13_2(X79,X80))
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( apply(X79,esk13_2(X79,X80),esk14_2(X79,X80))
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( ~ apply(X79,esk12_2(X79,X80),esk14_2(X79,X80))
| member(esk11_2(X79,X80),X80)
| pre_order(X79,X80) )
& ( member(esk12_2(X79,X80),X80)
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) )
& ( member(esk13_2(X79,X80),X80)
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) )
& ( member(esk14_2(X79,X80),X80)
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) )
& ( apply(X79,esk12_2(X79,X80),esk13_2(X79,X80))
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) )
& ( apply(X79,esk13_2(X79,X80),esk14_2(X79,X80))
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) )
& ( ~ apply(X79,esk12_2(X79,X80),esk14_2(X79,X80))
| ~ apply(X79,esk11_2(X79,X80),esk11_2(X79,X80))
| pre_order(X79,X80) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[pre_order])])])])])]) ).
fof(c_0_10,plain,
! [X8,X9,X10,X11,X12] :
( ( ~ subset(X8,X9)
| ~ member(X10,X8)
| member(X10,X9) )
& ( member(esk1_2(X11,X12),X11)
| subset(X11,X12) )
& ( ~ member(esk1_2(X11,X12),X12)
| subset(X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])]) ).
cnf(c_0_11,plain,
( member(X1,power_set(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,hypothesis,
( subset(X1,X2)
| ~ apply(subset_predicate,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
~ pre_order(subset_predicate,power_set(esk15_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( apply(X1,esk13_2(X1,X2),esk14_2(X1,X2))
| pre_order(X1,X2)
| ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( pre_order(X1,X2)
| ~ apply(X1,esk12_2(X1,X2),esk14_2(X1,X2))
| ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,hypothesis,
( apply(subset_predicate,X1,X2)
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( subset(X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,hypothesis,
( member(X1,power_set(X2))
| ~ apply(subset_predicate,X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( apply(subset_predicate,esk13_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0)))
| ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( subset(X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,plain,
( member(esk1_2(X1,X2),X1)
| subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
( apply(X1,esk12_2(X1,X2),esk13_2(X1,X2))
| pre_order(X1,X2)
| ~ apply(X1,esk11_2(X1,X2),esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_23,negated_conjecture,
( ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0)))
| ~ apply(subset_predicate,esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_24,hypothesis,
( apply(subset_predicate,X1,X2)
| ~ member(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,hypothesis,
( member(esk13_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0))))
| ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,hypothesis,
( apply(subset_predicate,X1,X2)
| ~ member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_16,c_0_20]) ).
cnf(c_0_27,plain,
( member(X1,power_set(X2))
| ~ member(esk1_2(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_28,plain,
( member(esk1_2(X1,X2),X1)
| member(X1,power_set(X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( apply(subset_predicate,esk12_2(subset_predicate,power_set(esk15_0)),esk13_2(subset_predicate,power_set(esk15_0)))
| ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
cnf(c_0_30,hypothesis,
( ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0)))
| ~ member(esk1_2(esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))),esk14_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,hypothesis,
( member(esk13_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0))))
| ~ member(esk11_2(subset_predicate,power_set(esk15_0)),power_set(esk11_2(subset_predicate,power_set(esk15_0)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
member(X1,power_set(X1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,hypothesis,
( member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk13_2(subset_predicate,power_set(esk15_0))))
| ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_35,hypothesis,
( ~ member(esk1_2(esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))),esk14_2(subset_predicate,power_set(esk15_0)))
| ~ member(esk11_2(subset_predicate,power_set(esk15_0)),power_set(esk11_2(subset_predicate,power_set(esk15_0)))) ),
inference(spm,[status(thm)],[c_0_30,c_0_26]) ).
cnf(c_0_36,plain,
( member(X1,X2)
| ~ member(X3,power_set(X2))
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_20]) ).
cnf(c_0_37,hypothesis,
member(esk13_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]) ).
cnf(c_0_38,hypothesis,
( member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk13_2(subset_predicate,power_set(esk15_0))))
| ~ member(esk11_2(subset_predicate,power_set(esk15_0)),power_set(esk11_2(subset_predicate,power_set(esk15_0)))) ),
inference(spm,[status(thm)],[c_0_34,c_0_26]) ).
cnf(c_0_39,hypothesis,
~ member(esk1_2(esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))),esk14_2(subset_predicate,power_set(esk15_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_33])]) ).
cnf(c_0_40,hypothesis,
( member(X1,esk14_2(subset_predicate,power_set(esk15_0)))
| ~ member(X1,esk13_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,hypothesis,
member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk13_2(subset_predicate,power_set(esk15_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_33])]) ).
cnf(c_0_42,hypothesis,
( ~ apply(subset_predicate,esk11_2(subset_predicate,power_set(esk15_0)),esk11_2(subset_predicate,power_set(esk15_0)))
| ~ member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0)))) ),
inference(spm,[status(thm)],[c_0_23,c_0_26]) ).
cnf(c_0_43,hypothesis,
~ member(esk1_2(esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))),esk13_2(subset_predicate,power_set(esk15_0))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,hypothesis,
( member(X1,esk13_2(subset_predicate,power_set(esk15_0)))
| ~ member(X1,esk12_2(subset_predicate,power_set(esk15_0))) ),
inference(spm,[status(thm)],[c_0_36,c_0_41]) ).
cnf(c_0_45,hypothesis,
( ~ member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0))))
| ~ member(esk11_2(subset_predicate,power_set(esk15_0)),power_set(esk11_2(subset_predicate,power_set(esk15_0)))) ),
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_46,hypothesis,
~ member(esk1_2(esk12_2(subset_predicate,power_set(esk15_0)),esk14_2(subset_predicate,power_set(esk15_0))),esk12_2(subset_predicate,power_set(esk15_0))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_47,hypothesis,
~ member(esk12_2(subset_predicate,power_set(esk15_0)),power_set(esk14_2(subset_predicate,power_set(esk15_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_33])]) ).
cnf(c_0_48,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_28]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET807+4 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n027.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 : 600
% 0.13/0.34 % DateTime : Mon Jul 11 11:04:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.19/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.19/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.20/2.49 # ENIGMATIC: Solved by autoschedule:
% 8.20/2.49 # No SInE strategy applied
% 8.20/2.49 # Trying AutoSched0 for 150 seconds
% 8.20/2.49 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S045I
% 8.20/2.49 # and selection function PSelectMaxLComplexNoXTypePred.
% 8.20/2.49 #
% 8.20/2.49 # Preprocessing time : 0.031 s
% 8.20/2.49 # Presaturation interreduction done
% 8.20/2.49
% 8.20/2.49 # Proof found!
% 8.20/2.49 # SZS status Theorem
% 8.20/2.49 # SZS output start CNFRefutation
% See solution above
% 8.20/2.49 # Training examples: 0 positive, 0 negative
% 8.20/2.49
% 8.20/2.49 # -------------------------------------------------
% 8.20/2.49 # User time : 0.076 s
% 8.20/2.49 # System time : 0.013 s
% 8.20/2.49 # Total time : 0.089 s
% 8.20/2.49 # Maximum resident set size: 7120 pages
% 8.20/2.49
%------------------------------------------------------------------------------