%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU170+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n013.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 08:39:09 EDT 2022
% Result : Theorem 11.37s 2.80s
% Output : CNFRefutation 11.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 11 unt; 16 nHn; 43 RR)
% Number of literals : 110 ( 11 equ; 51 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_11,plain,
( subset_complement(X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_11) ).
cnf(i_0_36,negated_conjecture,
element(esk11_0,powerset(esk9_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_36) ).
cnf(i_0_9,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_9) ).
cnf(i_0_14,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_14) ).
cnf(i_0_20,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_20) ).
cnf(i_0_32,plain,
( disjoint(X1,X2)
| in(esk8_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_32) ).
cnf(i_0_4,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_4) ).
cnf(i_0_33,plain,
( disjoint(X1,X2)
| in(esk8_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_33) ).
cnf(i_0_34,negated_conjecture,
( disjoint(esk10_0,esk11_0)
| subset(esk10_0,subset_complement(esk9_0,esk11_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_34) ).
cnf(i_0_8,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_8) ).
cnf(i_0_21,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_21) ).
cnf(i_0_37,negated_conjecture,
element(esk10_0,powerset(esk9_0)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_37) ).
cnf(i_0_31,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X3,X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_31) ).
cnf(i_0_2,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_2) ).
cnf(i_0_3,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_3) ).
cnf(i_0_35,negated_conjecture,
( ~ disjoint(esk10_0,esk11_0)
| ~ subset(esk10_0,subset_complement(esk9_0,esk11_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-vsqx58or/input.p',i_0_35) ).
cnf(c_0_54,plain,
( subset_complement(X1,X2) = set_difference(X1,X2)
| ~ element(X2,powerset(X1)) ),
i_0_11 ).
cnf(c_0_55,negated_conjecture,
element(esk11_0,powerset(esk9_0)),
i_0_36 ).
cnf(c_0_56,plain,
( X1 != set_difference(X2,X3)
| ~ in(X4,X1)
| ~ in(X4,X3) ),
i_0_9 ).
cnf(c_0_57,plain,
( element(subset_complement(X1,X2),powerset(X1))
| ~ element(X2,powerset(X1)) ),
i_0_14 ).
cnf(c_0_58,negated_conjecture,
subset_complement(esk9_0,esk11_0) = set_difference(esk9_0,esk11_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_59,plain,
( subset_complement(X1,subset_complement(X1,X2)) = X2
| ~ element(X2,powerset(X1)) ),
i_0_20 ).
cnf(c_0_60,plain,
( ~ in(X1,set_difference(X2,X3))
| ~ in(X1,X3) ),
inference(er,[status(thm)],[c_0_56]) ).
cnf(c_0_61,plain,
( disjoint(X1,X2)
| in(esk8_2(X1,X2),X2) ),
i_0_32 ).
cnf(c_0_62,negated_conjecture,
element(set_difference(esk9_0,esk11_0),powerset(esk9_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_55]),c_0_58]) ).
cnf(c_0_63,negated_conjecture,
subset_complement(esk9_0,set_difference(esk9_0,esk11_0)) = esk11_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_55]),c_0_58]) ).
cnf(c_0_64,plain,
( disjoint(X1,set_difference(X2,X3))
| ~ in(esk8_2(X1,set_difference(X2,X3)),X3) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_65,plain,
set_difference(esk9_0,set_difference(esk9_0,esk11_0)) = esk11_0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_62]),c_0_63]) ).
cnf(c_0_66,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ subset(X3,X2) ),
i_0_4 ).
cnf(c_0_67,plain,
( disjoint(X1,X2)
| in(esk8_2(X1,X2),X1) ),
i_0_33 ).
cnf(c_0_68,plain,
( disjoint(X1,esk11_0)
| ~ in(esk8_2(X1,esk11_0),set_difference(esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,plain,
( disjoint(X1,X2)
| in(esk8_2(X1,X2),X3)
| ~ subset(X1,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_70,negated_conjecture,
( disjoint(esk10_0,esk11_0)
| subset(esk10_0,subset_complement(esk9_0,esk11_0)) ),
i_0_34 ).
cnf(c_0_71,plain,
( disjoint(X1,esk11_0)
| ~ subset(X1,set_difference(esk9_0,esk11_0)) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( disjoint(esk10_0,esk11_0)
| subset(esk10_0,set_difference(esk9_0,esk11_0)) ),
inference(rw,[status(thm)],[c_0_70,c_0_58]) ).
cnf(c_0_73,plain,
( in(X1,X2)
| in(X1,X3)
| X2 != set_difference(X4,X3)
| ~ in(X1,X4) ),
i_0_8 ).
cnf(c_0_74,plain,
( in(X1,X2)
| ~ in(X1,X3)
| ~ element(X3,powerset(X2)) ),
i_0_21 ).
cnf(c_0_75,negated_conjecture,
element(esk10_0,powerset(esk9_0)),
i_0_37 ).
cnf(c_0_76,plain,
( ~ in(X1,X2)
| ~ in(X1,X3)
| ~ disjoint(X3,X2) ),
i_0_31 ).
cnf(c_0_77,negated_conjecture,
disjoint(esk10_0,esk11_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_78,plain,
( subset(X1,X2)
| ~ in(esk1_2(X1,X2),X2) ),
i_0_2 ).
cnf(c_0_79,plain,
( in(X1,set_difference(X2,X3))
| in(X1,X3)
| ~ in(X1,X2) ),
inference(er,[status(thm)],[c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( in(X1,esk9_0)
| ~ in(X1,esk10_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_81,plain,
( subset(X1,X2)
| in(esk1_2(X1,X2),X1) ),
i_0_3 ).
cnf(c_0_82,negated_conjecture,
( ~ disjoint(esk10_0,esk11_0)
| ~ subset(esk10_0,subset_complement(esk9_0,esk11_0)) ),
i_0_35 ).
cnf(c_0_83,plain,
( ~ in(X1,esk10_0)
| ~ in(X1,esk11_0) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,plain,
( in(esk1_2(X1,set_difference(X2,X3)),X3)
| subset(X1,set_difference(X2,X3))
| ~ in(esk1_2(X1,set_difference(X2,X3)),X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,plain,
( in(esk1_2(esk10_0,X1),esk9_0)
| subset(esk10_0,X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( ~ disjoint(esk10_0,esk11_0)
| ~ subset(esk10_0,set_difference(esk9_0,esk11_0)) ),
inference(rw,[status(thm)],[c_0_82,c_0_58]) ).
cnf(c_0_87,plain,
( subset(esk10_0,X1)
| ~ in(esk1_2(esk10_0,X1),esk11_0) ),
inference(spm,[status(thm)],[c_0_83,c_0_81]) ).
cnf(c_0_88,plain,
( in(esk1_2(esk10_0,set_difference(esk9_0,X1)),X1)
| subset(esk10_0,set_difference(esk9_0,X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
~ subset(esk10_0,set_difference(esk9_0,esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_77])]) ).
cnf(c_0_90,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU170+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 05:21:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 11.37/2.80 # ENIGMATIC: Solved by autoschedule:
% 11.37/2.80 # No SInE strategy applied
% 11.37/2.80 # Trying AutoSched0 for 150 seconds
% 11.37/2.80 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S02CN
% 11.37/2.80 # and selection function SelectAntiRROptimalLit.
% 11.37/2.80 #
% 11.37/2.80 # Preprocessing time : 0.020 s
% 11.37/2.80 # Presaturation interreduction done
% 11.37/2.80
% 11.37/2.80 # Proof found!
% 11.37/2.80 # SZS status Theorem
% 11.37/2.80 # SZS output start CNFRefutation
% See solution above
% 11.37/2.80 # Training examples: 0 positive, 0 negative
% 11.37/2.80
% 11.37/2.80 # -------------------------------------------------
% 11.37/2.80 # User time : 0.156 s
% 11.37/2.80 # System time : 0.013 s
% 11.37/2.80 # Total time : 0.169 s
% 11.37/2.80 # Maximum resident set size: 7124 pages
% 11.37/2.80
%------------------------------------------------------------------------------