TSTP Solution File: REL037+2 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL037+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n020.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 19:13:42 EDT 2022
% Result : Theorem 189.42s 25.22s
% Output : CNFRefutation 189.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 9 RR)
% Number of literals : 69 ( 68 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 108 ( 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-yx2o5rul/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/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-yx2o5rul/input.p',i_0_5) ).
cnf(i_0_13,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_13) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_9) ).
cnf(i_0_14,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/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-yx2o5rul/input.p',i_0_15) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_10) ).
cnf(i_0_12,negated_conjecture,
composition(esk1_0,top) = esk1_0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_12) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_4) ).
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-yx2o5rul/input.p',i_0_2) ).
cnf(i_0_11,negated_conjecture,
composition(complement(join(complement(esk2_0),complement(converse(esk1_0)))),complement(join(complement(esk1_0),complement(esk3_0)))) != composition(complement(join(complement(esk2_0),complement(converse(esk1_0)))),esk3_0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-yx2o5rul/input.p',i_0_11) ).
cnf(c_0_29,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_30,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_31,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_33,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_30]) ).
cnf(c_0_34,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_35,plain,
join(X1,X2) = join(X2,X1),
i_0_13 ).
cnf(c_0_36,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_38,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_14 ).
cnf(c_0_39,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_41,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36]),c_0_40]) ).
cnf(c_0_43,plain,
join(top,complement(X1)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_37]),c_0_35]) ).
cnf(c_0_44,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_15 ).
cnf(c_0_45,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_46,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_41,c_0_43]) ).
cnf(c_0_47,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_48,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_49,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_45,c_0_37]) ).
cnf(c_0_50,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_35,c_0_46]) ).
cnf(c_0_51,plain,
join(complement(X1),complement(join(complement(X2),join(complement(X1),complement(join(complement(X1),X2)))))) = join(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_47]),c_0_48]),c_0_35]),c_0_35]) ).
cnf(c_0_52,plain,
join(zero,complement(join(zero,complement(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_49]),c_0_35]),c_0_50]),c_0_49]),c_0_35]) ).
cnf(c_0_53,plain,
join(zero,complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_42]),c_0_37]),c_0_46]),c_0_49]),c_0_35]) ).
cnf(c_0_54,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53]),c_0_53]) ).
cnf(c_0_55,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_38]) ).
cnf(c_0_56,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_54]) ).
cnf(c_0_57,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_38]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
composition(esk1_0,top) = esk1_0,
i_0_12 ).
cnf(c_0_59,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_47]),c_0_35]) ).
cnf(c_0_60,negated_conjecture,
join(zero,composition(converse(esk1_0),complement(esk1_0))) = zero,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_58]),c_0_49]),c_0_49]) ).
cnf(c_0_61,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_59,c_0_54]) ).
cnf(c_0_63,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_48,c_0_56]) ).
cnf(c_0_64,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_65,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_66,negated_conjecture,
composition(converse(esk1_0),complement(esk1_0)) = zero,
inference(rw,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_67,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_68,plain,
join(complement(join(complement(X1),X2)),join(X3,complement(join(complement(X1),complement(X2))))) = join(X3,X1),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_69,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_64,c_0_31]) ).
cnf(c_0_71,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_65,c_0_29]) ).
cnf(c_0_72,plain,
composition(join(converse(esk1_0),X1),complement(esk1_0)) = composition(X1,complement(esk1_0)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_61]) ).
cnf(c_0_73,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_67]),c_0_35]) ).
cnf(c_0_74,plain,
join(X1,complement(join(complement(X2),X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_54]),c_0_54]),c_0_35]) ).
cnf(c_0_75,plain,
join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
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_70,c_0_71]),c_0_64]),c_0_29]),c_0_30]),c_0_30]),c_0_30]) ).
cnf(c_0_76,plain,
composition(complement(join(X1,complement(converse(esk1_0)))),complement(esk1_0)) = zero,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_66]) ).
cnf(c_0_77,plain,
join(X1,complement(join(X2,X1))) = join(X1,complement(X2)),
inference(spm,[status(thm)],[c_0_74,c_0_54]) ).
cnf(c_0_78,plain,
join(X1,join(X2,complement(join(X2,X1)))) = top,
inference(spm,[status(thm)],[c_0_41,c_0_35]) ).
cnf(c_0_79,plain,
join(X1,zero) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_37]),c_0_49]),c_0_42]),c_0_54]) ).
cnf(c_0_80,plain,
composition(complement(join(X1,complement(converse(esk1_0)))),join(complement(esk1_0),X2)) = composition(complement(join(X1,complement(converse(esk1_0)))),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_61]) ).
cnf(c_0_81,plain,
join(X1,complement(join(X1,X2))) = join(X1,complement(X2)),
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_77,c_0_78]),c_0_49]),c_0_38]),c_0_79]),c_0_38]),c_0_35]),c_0_69]) ).
cnf(c_0_82,negated_conjecture,
composition(complement(join(complement(esk2_0),complement(converse(esk1_0)))),complement(join(complement(esk1_0),complement(esk3_0)))) != composition(complement(join(complement(esk2_0),complement(converse(esk1_0)))),esk3_0),
i_0_11 ).
cnf(c_0_83,plain,
composition(complement(join(X1,complement(converse(esk1_0)))),complement(join(complement(esk1_0),X2))) = composition(complement(join(X1,complement(converse(esk1_0)))),complement(X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_80]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83]),c_0_54])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL037+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 8 12:31:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 # ENIGMATIC: Selected SinE mode:
% 0.20/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.20/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.20/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 189.42/25.22 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 189.42/25.22 # Version: 2.1pre011
% 189.42/25.22 # Preprocessing time : 0.017 s
% 189.42/25.22
% 189.42/25.22 # Proof found!
% 189.42/25.22 # SZS status Theorem
% 189.42/25.22 # SZS output start CNFRefutation
% See solution above
% 189.42/25.22 # Proof object total steps : 69
% 189.42/25.22 # Proof object clause steps : 56
% 189.42/25.22 # Proof object formula steps : 13
% 189.42/25.22 # Proof object conjectures : 7
% 189.42/25.22 # Proof object clause conjectures : 5
% 189.42/25.22 # Proof object formula conjectures : 2
% 189.42/25.22 # Proof object initial clauses used : 13
% 189.42/25.22 # Proof object initial formulas used : 13
% 189.42/25.22 # Proof object generating inferences : 36
% 189.42/25.22 # Proof object simplifying inferences : 54
% 189.42/25.22 # Training examples: 0 positive, 0 negative
% 189.42/25.22 # Parsed axioms : 17
% 189.42/25.22 # Removed by relevancy pruning/SinE : 0
% 189.42/25.22 # Initial clauses : 17
% 189.42/25.22 # Removed in clause preprocessing : 0
% 189.42/25.22 # Initial clauses in saturation : 17
% 189.42/25.22 # Processed clauses : 6494
% 189.42/25.22 # ...of these trivial : 3818
% 189.42/25.22 # ...subsumed : 634
% 189.42/25.22 # ...remaining for further processing : 2042
% 189.42/25.22 # Other redundant clauses eliminated : 0
% 189.42/25.22 # Clauses deleted for lack of memory : 0
% 189.42/25.22 # Backward-subsumed : 0
% 189.42/25.22 # Backward-rewritten : 578
% 189.42/25.22 # Generated clauses : 684150
% 189.42/25.22 # ...of the previous two non-trivial : 538146
% 189.42/25.22 # Contextual simplify-reflections : 0
% 189.42/25.22 # Paramodulations : 684150
% 189.42/25.22 # Factorizations : 0
% 189.42/25.22 # Equation resolutions : 0
% 189.42/25.22 # Propositional unsat checks : 0
% 189.42/25.22 # Propositional unsat check successes : 0
% 189.42/25.22 # Current number of processed clauses : 1464
% 189.42/25.22 # Positive orientable unit clauses : 1452
% 189.42/25.22 # Positive unorientable unit clauses: 12
% 189.42/25.22 # Negative unit clauses : 0
% 189.42/25.22 # Non-unit-clauses : 0
% 189.42/25.22 # Current number of unprocessed clauses: 439375
% 189.42/25.22 # ...number of literals in the above : 439375
% 189.42/25.22 # Current number of archived formulas : 0
% 189.42/25.22 # Current number of archived clauses : 578
% 189.42/25.22 # Clause-clause subsumption calls (NU) : 0
% 189.42/25.22 # Rec. Clause-clause subsumption calls : 0
% 189.42/25.22 # Non-unit clause-clause subsumptions : 0
% 189.42/25.22 # Unit Clause-clause subsumption calls : 176
% 189.42/25.22 # Rewrite failures with RHS unbound : 0
% 189.42/25.22 # BW rewrite match attempts : 47947
% 189.42/25.22 # BW rewrite match successes : 530
% 189.42/25.22 # Condensation attempts : 0
% 189.42/25.22 # Condensation successes : 0
% 189.42/25.22 # Termbank termtop insertions : 33572744
% 189.42/25.22
% 189.42/25.22 # -------------------------------------------------
% 189.42/25.22 # User time : 21.794 s
% 189.42/25.22 # System time : 0.591 s
% 189.42/25.22 # Total time : 22.385 s
% 189.42/25.22 # ...preprocessing : 0.017 s
% 189.42/25.22 # ...main loop : 22.368 s
% 189.42/25.22 # Maximum resident set size: 904176 pages
% 189.42/25.22
%------------------------------------------------------------------------------