TSTP Solution File: REL044+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL044+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n021.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 : Mon Jul 18 19:13:52 EDT 2022
% Result : Theorem 7.91s 2.59s
% Output : CNFRefutation 7.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of clauses : 78 ( 78 unt; 0 nHn; 21 RR)
% Number of literals : 78 ( 77 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 99 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_3) ).
cnf(i_0_5,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_5) ).
cnf(i_0_13,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_13) ).
cnf(i_0_14,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_14) ).
cnf(i_0_15,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_15) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_9) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_10) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_4) ).
cnf(i_0_12,negated_conjecture,
join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_12) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_2) ).
cnf(i_0_18,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_18) ).
cnf(i_0_11,negated_conjecture,
join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-i9j6jioh/input.p',i_0_11) ).
cnf(c_0_33,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_34,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_35,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_37,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_38,plain,
join(X1,X2) = join(X2,X1),
i_0_13 ).
cnf(c_0_39,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_34]) ).
cnf(c_0_40,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_14 ).
cnf(c_0_41,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_36,c_0_39]) ).
cnf(c_0_43,plain,
join(complement(X1),join(composition(converse(X2),complement(composition(X2,X1))),X3)) = join(complement(X1),X3),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_42]) ).
cnf(c_0_45,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_15 ).
cnf(c_0_46,plain,
join(complement(X1),join(complement(X1),X2)) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_42]),c_0_44]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_45,c_0_38]) ).
cnf(c_0_48,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_49,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_50,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_38]) ).
cnf(c_0_51,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_48,c_0_40]) ).
cnf(c_0_52,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_49,c_0_48]) ).
cnf(c_0_53,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_44]),c_0_42]),c_0_44]) ).
cnf(c_0_54,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_55,plain,
join(X1,complement(complement(X1))) = X1,
inference(spm,[status(thm)],[c_0_50,c_0_50]) ).
cnf(c_0_56,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_52]),c_0_53]),c_0_54]) ).
cnf(c_0_57,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_58,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_59,plain,
join(X1,top) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_57]),c_0_48]) ).
cnf(c_0_60,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_58,c_0_34]) ).
cnf(c_0_61,negated_conjecture,
join(composition(complement(esk1_0),esk2_0),complement(esk3_0)) = complement(esk3_0),
i_0_12 ).
cnf(c_0_62,plain,
join(zero,composition(converse(X1),complement(composition(X1,top)))) = zero,
inference(spm,[status(thm)],[c_0_41,c_0_52]) ).
cnf(c_0_63,plain,
join(zero,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_52]),c_0_56]),c_0_57]),c_0_56]) ).
cnf(c_0_64,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_38,c_0_59]) ).
cnf(c_0_65,plain,
join(X1,converse(top)) = converse(top),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_66,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_67,negated_conjecture,
join(complement(esk3_0),composition(complement(esk1_0),esk2_0)) = complement(esk3_0),
inference(rw,[status(thm)],[c_0_61,c_0_38]) ).
cnf(c_0_68,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_69,plain,
composition(converse(X1),complement(composition(X1,top))) = zero,
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3)))) = complement(join(complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)),complement(X3))),
i_0_18 ).
cnf(c_0_72,negated_conjecture,
join(complement(esk3_0),join(composition(complement(esk1_0),esk2_0),X1)) = join(X1,complement(esk3_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_66]) ).
cnf(c_0_73,plain,
join(X1,composition(X2,X1)) = composition(join(X2,one),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_38]) ).
cnf(c_0_74,plain,
composition(top,complement(composition(top,top))) = zero,
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,plain,
join(complement(join(complement(composition(X1,X2)),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,converse(X2))))),X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_38]),c_0_38]) ).
cnf(c_0_76,plain,
join(complement(esk3_0),complement(composition(complement(esk1_0),esk2_0))) = join(top,complement(esk3_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_48]),c_0_38]),c_0_38]) ).
cnf(c_0_77,plain,
complement(composition(top,top)) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_54]),c_0_64]),c_0_74]) ).
cnf(c_0_78,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_40,c_0_48]) ).
cnf(c_0_79,plain,
join(complement(join(complement(composition(X1,converse(X2))),complement(X3))),complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2)))))) = complement(join(complement(X3),complement(composition(complement(join(complement(X1),complement(composition(X3,X2)))),converse(X2))))),
inference(spm,[status(thm)],[c_0_75,c_0_34]) ).
cnf(c_0_80,plain,
join(complement(esk3_0),complement(composition(complement(esk1_0),esk2_0))) = top,
inference(rw,[status(thm)],[c_0_76,c_0_64]) ).
cnf(c_0_81,plain,
composition(top,zero) = zero,
inference(rw,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_82,plain,
join(X1,converse(zero)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_54]),c_0_34]) ).
cnf(c_0_83,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[c_0_78,c_0_64]) ).
cnf(c_0_84,plain,
join(complement(join(esk1_0,complement(composition(esk3_0,converse(esk2_0))))),complement(join(esk1_0,complement(composition(zero,converse(esk2_0)))))) = complement(join(esk1_0,complement(composition(zero,converse(esk2_0))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_56]),c_0_56]),c_0_52]),c_0_56]),c_0_52]),c_0_38]) ).
cnf(c_0_85,plain,
composition(X1,zero) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_81]),c_0_63]),c_0_64]),c_0_81]) ).
cnf(c_0_86,plain,
converse(zero) = zero,
inference(spm,[status(thm)],[c_0_63,c_0_82]) ).
cnf(c_0_87,plain,
join(esk1_0,join(complement(composition(esk3_0,converse(esk2_0))),complement(join(esk1_0,complement(composition(zero,converse(esk2_0))))))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_40]) ).
cnf(c_0_88,plain,
composition(zero,X1) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_85]),c_0_86]),c_0_86]) ).
cnf(c_0_89,plain,
complement(zero) = top,
inference(spm,[status(thm)],[c_0_56,c_0_52]) ).
cnf(c_0_90,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_91,plain,
join(esk1_0,complement(composition(esk3_0,converse(esk2_0)))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_59]),c_0_52]),c_0_54]) ).
cnf(c_0_92,negated_conjecture,
join(composition(esk3_0,converse(esk2_0)),esk1_0) != esk1_0,
i_0_11 ).
cnf(c_0_93,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_50,c_0_56]) ).
cnf(c_0_94,plain,
complement(join(complement(esk1_0),complement(composition(esk3_0,converse(esk2_0))))) = composition(esk3_0,converse(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_52]),c_0_63]),c_0_38]) ).
cnf(c_0_95,negated_conjecture,
join(esk1_0,composition(esk3_0,converse(esk2_0))) != esk1_0,
inference(rw,[status(thm)],[c_0_92,c_0_38]) ).
cnf(c_0_96,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_56]),c_0_56]),c_0_95]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL044+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 10:18:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected SinE mode:
% 0.19/0.46 # Parsing /export/starexec/sandbox/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
% 7.91/2.59 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.91/2.59 # Version: 2.1pre011
% 7.91/2.59 # Preprocessing time : 0.017 s
% 7.91/2.59
% 7.91/2.59 # Proof found!
% 7.91/2.59 # SZS status Theorem
% 7.91/2.59 # SZS output start CNFRefutation
% See solution above
% 7.91/2.59 # Proof object total steps : 78
% 7.91/2.59 # Proof object clause steps : 64
% 7.91/2.59 # Proof object formula steps : 14
% 7.91/2.59 # Proof object conjectures : 7
% 7.91/2.59 # Proof object clause conjectures : 5
% 7.91/2.59 # Proof object formula conjectures : 2
% 7.91/2.59 # Proof object initial clauses used : 14
% 7.91/2.59 # Proof object initial formulas used : 14
% 7.91/2.59 # Proof object generating inferences : 37
% 7.91/2.59 # Proof object simplifying inferences : 59
% 7.91/2.59 # Training examples: 0 positive, 0 negative
% 7.91/2.59 # Parsed axioms : 17
% 7.91/2.59 # Removed by relevancy pruning/SinE : 0
% 7.91/2.59 # Initial clauses : 17
% 7.91/2.59 # Removed in clause preprocessing : 0
% 7.91/2.59 # Initial clauses in saturation : 17
% 7.91/2.59 # Processed clauses : 315
% 7.91/2.59 # ...of these trivial : 108
% 7.91/2.59 # ...subsumed : 43
% 7.91/2.59 # ...remaining for further processing : 164
% 7.91/2.59 # Other redundant clauses eliminated : 0
% 7.91/2.59 # Clauses deleted for lack of memory : 0
% 7.91/2.59 # Backward-subsumed : 0
% 7.91/2.59 # Backward-rewritten : 67
% 7.91/2.59 # Generated clauses : 5458
% 7.91/2.59 # ...of the previous two non-trivial : 4036
% 7.91/2.59 # Contextual simplify-reflections : 0
% 7.91/2.59 # Paramodulations : 5458
% 7.91/2.59 # Factorizations : 0
% 7.91/2.59 # Equation resolutions : 0
% 7.91/2.59 # Propositional unsat checks : 0
% 7.91/2.59 # Propositional unsat check successes : 0
% 7.91/2.59 # Current number of processed clauses : 97
% 7.91/2.59 # Positive orientable unit clauses : 92
% 7.91/2.59 # Positive unorientable unit clauses: 4
% 7.91/2.59 # Negative unit clauses : 1
% 7.91/2.59 # Non-unit-clauses : 0
% 7.91/2.59 # Current number of unprocessed clauses: 2626
% 7.91/2.59 # ...number of literals in the above : 2626
% 7.91/2.59 # Current number of archived formulas : 0
% 7.91/2.59 # Current number of archived clauses : 67
% 7.91/2.59 # Clause-clause subsumption calls (NU) : 0
% 7.91/2.59 # Rec. Clause-clause subsumption calls : 0
% 7.91/2.59 # Non-unit clause-clause subsumptions : 0
% 7.91/2.59 # Unit Clause-clause subsumption calls : 10
% 7.91/2.59 # Rewrite failures with RHS unbound : 0
% 7.91/2.59 # BW rewrite match attempts : 733
% 7.91/2.59 # BW rewrite match successes : 85
% 7.91/2.59 # Condensation attempts : 0
% 7.91/2.59 # Condensation successes : 0
% 7.91/2.59 # Termbank termtop insertions : 147571
% 7.91/2.59
% 7.91/2.59 # -------------------------------------------------
% 7.91/2.59 # User time : 0.081 s
% 7.91/2.59 # System time : 0.011 s
% 7.91/2.59 # Total time : 0.092 s
% 7.91/2.59 # ...preprocessing : 0.017 s
% 7.91/2.59 # ...main loop : 0.075 s
% 7.91/2.59 # Maximum resident set size: 9204 pages
% 7.91/2.59
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