TSTP Solution File: SEU243+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Tue Jul 19 08:40:01 EDT 2022
% Result : Theorem 8.27s 2.51s
% Output : CNFRefutation 8.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 42 ( 7 unt; 25 nHn; 39 RR)
% Number of literals : 129 ( 22 equ; 61 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_154,plain,
( is_well_founded_in(X1,X2)
| subset(esk46_2(X1,X2),X2)
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_154) ).
cnf(i_0_580,negated_conjecture,
relation(esk118_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_580) ).
cnf(i_0_124,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk32_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_124) ).
cnf(i_0_125,plain,
( X1 = empty_set
| in(esk32_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_125) ).
cnf(i_0_578,negated_conjecture,
( well_founded_relation(esk118_0)
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_578) ).
cnf(i_0_152,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ in(X3,esk46_2(X1,X2))
| ~ disjoint(fiber(X1,X3),esk46_2(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_152) ).
cnf(i_0_153,plain,
( is_well_founded_in(X1,X2)
| esk46_2(X1,X2) != empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_153) ).
cnf(i_0_123,plain,
( well_founded_relation(X1)
| subset(esk33_1(X1),relation_field(X1))
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_123) ).
cnf(i_0_579,negated_conjecture,
( ~ well_founded_relation(esk118_0)
| ~ is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_579) ).
cnf(i_0_155,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk45_3(X2,X3,X1)),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_155) ).
cnf(i_0_156,plain,
( X1 = empty_set
| in(esk45_3(X2,X3,X1),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_156) ).
cnf(i_0_121,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk33_1(X1))
| ~ disjoint(fiber(X1,X2),esk33_1(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_121) ).
cnf(i_0_122,plain,
( well_founded_relation(X1)
| esk33_1(X1) != empty_set
| ~ relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8x0owg16/lgb.p',i_0_122) ).
cnf(c_0_594,plain,
( is_well_founded_in(X1,X2)
| subset(esk46_2(X1,X2),X2)
| ~ relation(X1) ),
i_0_154 ).
cnf(c_0_595,negated_conjecture,
relation(esk118_0),
i_0_580 ).
cnf(c_0_596,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk32_2(X2,X1)),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_124 ).
cnf(c_0_597,negated_conjecture,
( subset(esk46_2(esk118_0,X1),X1)
| is_well_founded_in(esk118_0,X1) ),
inference(spm,[status(thm)],[c_0_594,c_0_595]) ).
cnf(c_0_598,plain,
( X1 = empty_set
| in(esk32_2(X2,X1),X1)
| ~ relation(X2)
| ~ well_founded_relation(X2)
| ~ subset(X1,relation_field(X2)) ),
i_0_125 ).
cnf(c_0_599,plain,
( esk46_2(esk118_0,relation_field(X1)) = empty_set
| disjoint(fiber(X1,esk32_2(X1,esk46_2(esk118_0,relation_field(X1)))),esk46_2(esk118_0,relation_field(X1)))
| is_well_founded_in(esk118_0,relation_field(X1))
| ~ relation(X1)
| ~ well_founded_relation(X1) ),
inference(spm,[status(thm)],[c_0_596,c_0_597]) ).
cnf(c_0_600,negated_conjecture,
( well_founded_relation(esk118_0)
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
i_0_578 ).
cnf(c_0_601,plain,
( esk46_2(esk118_0,relation_field(X1)) = empty_set
| in(esk32_2(X1,esk46_2(esk118_0,relation_field(X1))),esk46_2(esk118_0,relation_field(X1)))
| is_well_founded_in(esk118_0,relation_field(X1))
| ~ relation(X1)
| ~ well_founded_relation(X1) ),
inference(spm,[status(thm)],[c_0_598,c_0_597]) ).
cnf(c_0_602,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ in(X3,esk46_2(X1,X2))
| ~ disjoint(fiber(X1,X3),esk46_2(X1,X2)) ),
i_0_152 ).
cnf(c_0_603,negated_conjecture,
( esk46_2(esk118_0,relation_field(esk118_0)) = empty_set
| disjoint(fiber(esk118_0,esk32_2(esk118_0,esk46_2(esk118_0,relation_field(esk118_0)))),esk46_2(esk118_0,relation_field(esk118_0)))
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_599,c_0_595]),c_0_600]) ).
cnf(c_0_604,negated_conjecture,
( esk46_2(esk118_0,relation_field(esk118_0)) = empty_set
| in(esk32_2(esk118_0,esk46_2(esk118_0,relation_field(esk118_0))),esk46_2(esk118_0,relation_field(esk118_0)))
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_601,c_0_595]),c_0_600]) ).
cnf(c_0_605,plain,
( is_well_founded_in(X1,X2)
| esk46_2(X1,X2) != empty_set
| ~ relation(X1) ),
i_0_153 ).
cnf(c_0_606,plain,
( esk46_2(esk118_0,relation_field(esk118_0)) = empty_set
| is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_602,c_0_603]),c_0_595])]),c_0_604]) ).
cnf(c_0_607,plain,
( well_founded_relation(X1)
| subset(esk33_1(X1),relation_field(X1))
| ~ relation(X1) ),
i_0_123 ).
cnf(c_0_608,negated_conjecture,
( ~ well_founded_relation(esk118_0)
| ~ is_well_founded_in(esk118_0,relation_field(esk118_0)) ),
i_0_579 ).
cnf(c_0_609,plain,
is_well_founded_in(esk118_0,relation_field(esk118_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_605,c_0_606]),c_0_595])]) ).
cnf(c_0_610,negated_conjecture,
( subset(esk33_1(esk118_0),relation_field(esk118_0))
| well_founded_relation(esk118_0) ),
inference(spm,[status(thm)],[c_0_607,c_0_595]) ).
cnf(c_0_611,negated_conjecture,
~ well_founded_relation(esk118_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_608,c_0_609])]) ).
cnf(c_0_612,plain,
( X1 = empty_set
| disjoint(fiber(X2,esk45_3(X2,X3,X1)),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
i_0_155 ).
cnf(c_0_613,negated_conjecture,
subset(esk33_1(esk118_0),relation_field(esk118_0)),
inference(sr,[status(thm)],[c_0_610,c_0_611]) ).
cnf(c_0_614,plain,
( X1 = empty_set
| in(esk45_3(X2,X3,X1),X1)
| ~ relation(X2)
| ~ subset(X1,X3)
| ~ is_well_founded_in(X2,X3) ),
i_0_156 ).
cnf(c_0_615,plain,
( esk33_1(esk118_0) = empty_set
| disjoint(fiber(X1,esk45_3(X1,relation_field(esk118_0),esk33_1(esk118_0))),esk33_1(esk118_0))
| ~ relation(X1)
| ~ is_well_founded_in(X1,relation_field(esk118_0)) ),
inference(spm,[status(thm)],[c_0_612,c_0_613]) ).
cnf(c_0_616,plain,
( esk33_1(esk118_0) = empty_set
| in(esk45_3(X1,relation_field(esk118_0),esk33_1(esk118_0)),esk33_1(esk118_0))
| ~ relation(X1)
| ~ is_well_founded_in(X1,relation_field(esk118_0)) ),
inference(spm,[status(thm)],[c_0_614,c_0_613]) ).
cnf(c_0_617,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ in(X2,esk33_1(X1))
| ~ disjoint(fiber(X1,X2),esk33_1(X1)) ),
i_0_121 ).
cnf(c_0_618,plain,
( esk33_1(esk118_0) = empty_set
| disjoint(fiber(esk118_0,esk45_3(esk118_0,relation_field(esk118_0),esk33_1(esk118_0))),esk33_1(esk118_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_615,c_0_609]),c_0_595])]) ).
cnf(c_0_619,plain,
( esk33_1(esk118_0) = empty_set
| in(esk45_3(esk118_0,relation_field(esk118_0),esk33_1(esk118_0)),esk33_1(esk118_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_616,c_0_609]),c_0_595])]) ).
cnf(c_0_620,plain,
( well_founded_relation(X1)
| esk33_1(X1) != empty_set
| ~ relation(X1) ),
i_0_122 ).
cnf(c_0_621,plain,
esk33_1(esk118_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_617,c_0_618]),c_0_595])]),c_0_611]),c_0_619]) ).
cnf(c_0_622,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_620,c_0_621]),c_0_595])]),c_0_611]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU243+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.33 % Computer : n029.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 : Mon Jun 20 13:57:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected complete mode:
% 8.27/2.51 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.27/2.51 # No SInE strategy applied
% 8.27/2.51 # Trying AutoSched0 for 150 seconds
% 8.27/2.51 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 8.27/2.51 # and selection function PSelectComplexExceptUniqMaxHorn.
% 8.27/2.51 #
% 8.27/2.51 # Preprocessing time : 0.024 s
% 8.27/2.51
% 8.27/2.51 # Proof found!
% 8.27/2.51 # SZS status Theorem
% 8.27/2.51 # SZS output start CNFRefutation
% See solution above
% 8.27/2.51 # Training examples: 0 positive, 0 negative
% 8.27/2.51
% 8.27/2.51 # -------------------------------------------------
% 8.27/2.51 # User time : 0.066 s
% 8.27/2.51 # System time : 0.006 s
% 8.27/2.51 # Total time : 0.071 s
% 8.27/2.51 # Maximum resident set size: 7124 pages
% 8.27/2.51
%------------------------------------------------------------------------------