TSTP Solution File: SEU244+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU244+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 08:40:01 EDT 2022
% Result : Theorem 7.21s 2.30s
% Output : CNFRefutation 7.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of clauses : 65 ( 5 unt; 2 nHn; 65 RR)
% Number of literals : 217 ( 0 equ; 153 neg)
% Maximal clause size : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 68 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_14,plain,
( well_orders(X1,X2)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_reflexive_in(X1,X2)
| ~ is_well_founded_in(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_14) ).
cnf(i_0_29,plain,
( is_well_founded_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ well_founded_relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_29) ).
cnf(i_0_22,plain,
( is_reflexive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ reflexive(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_22) ).
cnf(i_0_28,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_28) ).
cnf(i_0_15,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_15) ).
cnf(i_0_2,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_2) ).
cnf(i_0_17,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_17) ).
cnf(i_0_4,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_4) ).
cnf(i_0_16,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_16) ).
cnf(i_0_6,plain,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_6) ).
cnf(i_0_18,plain,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_18) ).
cnf(i_0_21,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_21) ).
cnf(i_0_19,plain,
( is_reflexive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_19) ).
cnf(i_0_7,plain,
( is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ transitive(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_7) ).
cnf(i_0_8,plain,
( well_ordering(X1)
| ~ relation(X1)
| ~ antisymmetric(X1)
| ~ connected(X1)
| ~ transitive(X1)
| ~ reflexive(X1)
| ~ well_founded_relation(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_8) ).
cnf(i_0_5,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_5) ).
cnf(i_0_30,negated_conjecture,
( well_ordering(esk1_0)
| well_orders(esk1_0,relation_field(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_30) ).
cnf(i_0_32,negated_conjecture,
relation(esk1_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_32) ).
cnf(i_0_3,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_3) ).
cnf(i_0_31,negated_conjecture,
( ~ well_ordering(esk1_0)
| ~ well_orders(esk1_0,relation_field(esk1_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_31) ).
cnf(i_0_9,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_9) ).
cnf(i_0_11,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_11) ).
cnf(i_0_10,plain,
( connected(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_10) ).
cnf(i_0_12,plain,
( transitive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_12) ).
cnf(i_0_13,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ho49mwee/input.p',i_0_13) ).
cnf(c_0_58,plain,
( well_orders(X1,X2)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_reflexive_in(X1,X2)
| ~ is_well_founded_in(X1,X2) ),
i_0_14 ).
cnf(c_0_59,plain,
( is_well_founded_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ well_founded_relation(X1) ),
i_0_29 ).
cnf(c_0_60,plain,
( well_orders(X1,relation_field(X1))
| ~ is_reflexive_in(X1,relation_field(X1))
| ~ is_transitive_in(X1,relation_field(X1))
| ~ is_connected_in(X1,relation_field(X1))
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_61,plain,
( is_reflexive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ reflexive(X1) ),
i_0_22 ).
cnf(c_0_62,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
i_0_28 ).
cnf(c_0_63,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
i_0_15 ).
cnf(c_0_64,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
i_0_2 ).
cnf(c_0_65,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
i_0_17 ).
cnf(c_0_66,plain,
( connected(X1)
| ~ relation(X1)
| ~ is_connected_in(X1,relation_field(X1)) ),
i_0_4 ).
cnf(c_0_67,plain,
( is_connected_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
i_0_16 ).
cnf(c_0_68,plain,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
i_0_6 ).
cnf(c_0_69,plain,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
i_0_18 ).
cnf(c_0_70,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
i_0_21 ).
cnf(c_0_71,plain,
( is_reflexive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
i_0_19 ).
cnf(c_0_72,plain,
( well_orders(X1,relation_field(X1))
| ~ is_transitive_in(X1,relation_field(X1))
| ~ is_connected_in(X1,relation_field(X1))
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ reflexive(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_73,plain,
( is_transitive_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ transitive(X1) ),
i_0_7 ).
cnf(c_0_74,plain,
( well_ordering(X1)
| ~ relation(X1)
| ~ antisymmetric(X1)
| ~ connected(X1)
| ~ transitive(X1)
| ~ reflexive(X1)
| ~ well_founded_relation(X1) ),
i_0_8 ).
cnf(c_0_75,plain,
( well_founded_relation(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_76,plain,
( antisymmetric(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_77,plain,
( connected(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_78,plain,
( transitive(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_79,plain,
( reflexive(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,plain,
( well_orders(X1,relation_field(X1))
| ~ is_connected_in(X1,relation_field(X1))
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ reflexive(X1)
| ~ transitive(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_81,plain,
( is_connected_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ connected(X1) ),
i_0_5 ).
cnf(c_0_82,plain,
( well_ordering(X1)
| ~ well_orders(X1,relation_field(X1))
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_77]),c_0_78]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( well_ordering(esk1_0)
| well_orders(esk1_0,relation_field(esk1_0)) ),
i_0_30 ).
cnf(c_0_84,negated_conjecture,
relation(esk1_0),
i_0_32 ).
cnf(c_0_85,plain,
( well_orders(X1,relation_field(X1))
| ~ is_antisymmetric_in(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ reflexive(X1)
| ~ transitive(X1)
| ~ connected(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,plain,
( is_antisymmetric_in(X1,relation_field(X1))
| ~ relation(X1)
| ~ antisymmetric(X1) ),
i_0_3 ).
cnf(c_0_87,negated_conjecture,
( ~ well_ordering(esk1_0)
| ~ well_orders(esk1_0,relation_field(esk1_0)) ),
i_0_31 ).
cnf(c_0_88,negated_conjecture,
well_ordering(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_89,plain,
( well_orders(X1,relation_field(X1))
| ~ well_founded_relation(X1)
| ~ reflexive(X1)
| ~ transitive(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ relation(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_9 ).
cnf(c_0_91,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_11 ).
cnf(c_0_92,plain,
( connected(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_10 ).
cnf(c_0_93,plain,
( transitive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_12 ).
cnf(c_0_94,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
i_0_13 ).
cnf(c_0_95,negated_conjecture,
~ well_orders(esk1_0,relation_field(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88])]) ).
cnf(c_0_96,plain,
( well_orders(X1,relation_field(X1))
| ~ well_ordering(X1)
| ~ relation(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),c_0_93]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_88]),c_0_84])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU244+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % 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 : Mon Jun 20 10:08:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 # ENIGMATIC: Selected complete mode:
% 7.21/2.30 # ENIGMATIC: Solved by autoschedule:
% 7.21/2.30 # No SInE strategy applied
% 7.21/2.30 # Trying AutoSched0 for 150 seconds
% 7.21/2.30 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S043I
% 7.21/2.30 # and selection function PSelectMaxLComplexNoTypePred.
% 7.21/2.30 #
% 7.21/2.30 # Preprocessing time : 0.019 s
% 7.21/2.30 # Presaturation interreduction done
% 7.21/2.30
% 7.21/2.30 # Proof found!
% 7.21/2.30 # SZS status Theorem
% 7.21/2.30 # SZS output start CNFRefutation
% See solution above
% 7.21/2.30 # Training examples: 0 positive, 0 negative
% 7.21/2.30
% 7.21/2.30 # -------------------------------------------------
% 7.21/2.30 # User time : 0.021 s
% 7.21/2.30 # System time : 0.005 s
% 7.21/2.30 # Total time : 0.026 s
% 7.21/2.30 # Maximum resident set size: 7120 pages
% 7.21/2.30
%------------------------------------------------------------------------------