TSTP Solution File: SEU243+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n028.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 08:40:00 EDT 2022
% Result : Theorem 7.19s 2.37s
% Output : CNFRefutation 7.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 41 ( 6 unt; 25 nHn; 38 RR)
% Number of literals : 128 ( 22 equ; 59 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_15,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk3_3(X2,X3,X1)),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_15) ).
cnf(i_0_50,negated_conjecture,
( well_founded_relation(esk11_0)
| is_well_founded_in(esk11_0,relation_field(esk11_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_50) ).
cnf(i_0_52,negated_conjecture,
relation(esk11_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_52) ).
cnf(i_0_9,plain,
( well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_9) ).
cnf(i_0_16,plain,
( X1 = empty_set
| in(esk3_3(X2,X3,X1),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_16) ).
cnf(i_0_7,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk2_1(X1))
| ~ disjoint(fiber(X1,X2),esk2_1(X1)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_7) ).
cnf(i_0_14,plain,
( is_well_founded_in(X1,X2)
| subset(esk4_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_14) ).
cnf(i_0_8,plain,
( well_founded_relation(X1)
| esk2_1(X1) != empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_8) ).
cnf(i_0_10,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk1_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_10) ).
cnf(i_0_51,negated_conjecture,
( ~ well_founded_relation(esk11_0)
| ~ is_well_founded_in(esk11_0,relation_field(esk11_0)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_51) ).
cnf(i_0_11,plain,
( X1 = empty_set
| in(esk1_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_11) ).
cnf(i_0_12,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ in(X3,esk4_2(X1,X2))
| ~ disjoint(fiber(X1,X3),esk4_2(X1,X2)) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_12) ).
cnf(i_0_13,plain,
( is_well_founded_in(X1,X2)
| esk4_2(X1,X2) != empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-iqc21o7e/input.p',i_0_13) ).
cnf(c_0_66,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk3_3(X2,X3,X1)),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
i_0_15 ).
cnf(c_0_67,negated_conjecture,
( well_founded_relation(esk11_0)
| is_well_founded_in(esk11_0,relation_field(esk11_0)) ),
i_0_50 ).
cnf(c_0_68,negated_conjecture,
relation(esk11_0),
i_0_52 ).
cnf(c_0_69,plain,
( well_founded_relation(X1)
| subset(esk2_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_9 ).
cnf(c_0_70,plain,
( X1 = empty_set
| in(esk3_3(X2,X3,X1),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
i_0_16 ).
cnf(c_0_71,negated_conjecture,
( X1 = empty_set
| disjoint(fiber(esk11_0,esk3_3(esk11_0,relation_field(esk11_0),X1)),X1)
| well_founded_relation(esk11_0)
| ~ subset(X1,relation_field(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_72,negated_conjecture,
( well_founded_relation(esk11_0)
| subset(esk2_1(esk11_0),relation_field(esk11_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_68]) ).
cnf(c_0_73,negated_conjecture,
( X1 = empty_set
| in(esk3_3(esk11_0,relation_field(esk11_0),X1),X1)
| well_founded_relation(esk11_0)
| ~ subset(X1,relation_field(esk11_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_67]),c_0_68])]) ).
cnf(c_0_74,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk2_1(X1))
| ~ disjoint(fiber(X1,X2),esk2_1(X1)) ),
i_0_7 ).
cnf(c_0_75,negated_conjecture,
( esk2_1(esk11_0) = empty_set
| disjoint(fiber(esk11_0,esk3_3(esk11_0,relation_field(esk11_0),esk2_1(esk11_0))),esk2_1(esk11_0))
| well_founded_relation(esk11_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_76,negated_conjecture,
( esk2_1(esk11_0) = empty_set
| in(esk3_3(esk11_0,relation_field(esk11_0),esk2_1(esk11_0)),esk2_1(esk11_0))
| well_founded_relation(esk11_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_72]) ).
cnf(c_0_77,plain,
( is_well_founded_in(X1,X2)
| subset(esk4_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_14 ).
cnf(c_0_78,plain,
( well_founded_relation(X1)
| esk2_1(X1) != empty_set
| ~ relation(X1) ),
i_0_8 ).
cnf(c_0_79,plain,
( esk2_1(esk11_0) = empty_set
| well_founded_relation(esk11_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_68])]),c_0_76]) ).
cnf(c_0_80,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk1_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_10 ).
cnf(c_0_81,negated_conjecture,
( is_well_founded_in(esk11_0,X1)
| subset(esk4_2(esk11_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_68]) ).
cnf(c_0_82,negated_conjecture,
( ~ well_founded_relation(esk11_0)
| ~ is_well_founded_in(esk11_0,relation_field(esk11_0)) ),
i_0_51 ).
cnf(c_0_83,plain,
well_founded_relation(esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_68])]) ).
cnf(c_0_84,plain,
( X1 = empty_set
| in(esk1_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_11 ).
cnf(c_0_85,plain,
( esk4_2(esk11_0,relation_field(X1)) = empty_set
| disjoint(fiber(X1,esk1_2(X1,esk4_2(esk11_0,relation_field(X1)))),esk4_2(esk11_0,relation_field(X1)))
| is_well_founded_in(esk11_0,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
~ is_well_founded_in(esk11_0,relation_field(esk11_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_87,plain,
( esk4_2(esk11_0,relation_field(X1)) = empty_set
| in(esk1_2(X1,esk4_2(esk11_0,relation_field(X1))),esk4_2(esk11_0,relation_field(X1)))
| is_well_founded_in(esk11_0,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_81]) ).
cnf(c_0_88,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ in(X3,esk4_2(X1,X2))
| ~ disjoint(fiber(X1,X3),esk4_2(X1,X2)) ),
i_0_12 ).
cnf(c_0_89,plain,
( esk4_2(esk11_0,relation_field(esk11_0)) = empty_set
| disjoint(fiber(esk11_0,esk1_2(esk11_0,esk4_2(esk11_0,relation_field(esk11_0)))),esk4_2(esk11_0,relation_field(esk11_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_83]),c_0_68])]),c_0_86]) ).
cnf(c_0_90,plain,
( esk4_2(esk11_0,relation_field(esk11_0)) = empty_set
| in(esk1_2(esk11_0,esk4_2(esk11_0,relation_field(esk11_0))),esk4_2(esk11_0,relation_field(esk11_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_83]),c_0_68])]),c_0_86]) ).
cnf(c_0_91,plain,
( is_well_founded_in(X1,X2)
| esk4_2(X1,X2) != empty_set
| ~ relation(X1) ),
i_0_13 ).
cnf(c_0_92,plain,
esk4_2(esk11_0,relation_field(esk11_0)) = empty_set,
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_68])]),c_0_86]),c_0_90]) ).
cnf(c_0_93,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_68])]),c_0_86]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEU243+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 20:25:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43 # ENIGMATIC: Selected complete mode:
% 7.19/2.37 # ENIGMATIC: Solved by autoschedule:
% 7.19/2.37 # No SInE strategy applied
% 7.19/2.37 # Trying AutoSched0 for 150 seconds
% 7.19/2.37 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 7.19/2.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 7.19/2.37 #
% 7.19/2.37 # Preprocessing time : 0.013 s
% 7.19/2.37 # Presaturation interreduction done
% 7.19/2.37
% 7.19/2.37 # Proof found!
% 7.19/2.37 # SZS status Theorem
% 7.19/2.37 # SZS output start CNFRefutation
% See solution above
% 7.19/2.37 # Training examples: 0 positive, 0 negative
% 7.19/2.37
% 7.19/2.37 # -------------------------------------------------
% 7.19/2.37 # User time : 0.028 s
% 7.19/2.37 # System time : 0.008 s
% 7.19/2.37 # Total time : 0.035 s
% 7.19/2.37 # Maximum resident set size: 7124 pages
% 7.19/2.37
%------------------------------------------------------------------------------