TSTP Solution File: REL008+4 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : REL008+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 19:12:57 EDT 2022
% Result : Theorem 7.99s 2.38s
% Output : CNFRefutation 7.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of clauses : 67 ( 63 unt; 0 nHn; 20 RR)
% Number of literals : 71 ( 70 equ; 8 neg)
% Maximal clause size : 2 ( 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 : 86 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_7) ).
cnf(i_0_6,plain,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_6) ).
cnf(i_0_3,plain,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/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/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_5) ).
cnf(i_0_12,plain,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_12) ).
cnf(i_0_10,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_10) ).
cnf(i_0_9,plain,
join(X1,complement(X1)) = top,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_9) ).
cnf(i_0_14,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_14) ).
cnf(i_0_13,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_13) ).
cnf(i_0_2,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_2) ).
cnf(i_0_4,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_4) ).
cnf(i_0_11,negated_conjecture,
( join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-k0ofsksd/input.p',i_0_11) ).
cnf(c_0_27,plain,
composition(converse(X1),converse(X2)) = converse(composition(X2,X1)),
i_0_7 ).
cnf(c_0_28,plain,
converse(converse(X1)) = X1,
i_0_6 ).
cnf(c_0_29,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_30,plain,
composition(X1,one) = X1,
i_0_3 ).
cnf(c_0_31,plain,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
i_0_5 ).
cnf(c_0_32,plain,
join(X1,X2) = join(X2,X1),
i_0_12 ).
cnf(c_0_33,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]) ).
cnf(c_0_34,plain,
complement(join(complement(X1),complement(complement(X1)))) = zero,
i_0_10 ).
cnf(c_0_35,plain,
join(X1,complement(X1)) = top,
i_0_9 ).
cnf(c_0_36,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_38,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,plain,
join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))) = X1,
i_0_14 ).
cnf(c_0_40,plain,
join(complement(one),composition(converse(X1),complement(X1))) = complement(one),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_41,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_33,c_0_37]) ).
cnf(c_0_42,plain,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
i_0_13 ).
cnf(c_0_43,plain,
join(top,zero) = top,
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_44,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_39,c_0_32]) ).
cnf(c_0_45,plain,
join(complement(one),complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_37]),c_0_41]) ).
cnf(c_0_46,plain,
join(X1,join(X2,X3)) = join(X2,join(X1,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_42]) ).
cnf(c_0_47,plain,
join(top,join(zero,X1)) = join(top,X1),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,plain,
join(zero,complement(complement(one))) = one,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_35]),c_0_38]),c_0_32]) ).
cnf(c_0_49,plain,
join(complement(X1),complement(join(complement(X1),join(complement(X2),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_44,c_0_44]),c_0_46]),c_0_32]),c_0_32]) ).
cnf(c_0_50,plain,
join(X1,join(complement(X1),X2)) = join(top,X2),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_51,plain,
join(top,complement(complement(one))) = join(one,top),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_32]) ).
cnf(c_0_52,plain,
join(complement(one),complement(join(one,top))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_45]),c_0_50]),c_0_51]) ).
cnf(c_0_53,plain,
join(X1,join(X2,complement(join(X1,X2)))) = top,
inference(spm,[status(thm)],[c_0_35,c_0_42]) ).
cnf(c_0_54,plain,
join(top,complement(join(one,top))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_52]),c_0_35]) ).
cnf(c_0_55,plain,
join(one,top) = top,
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,plain,
join(complement(join(zero,X1)),complement(join(zero,complement(X1)))) = top,
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_57,plain,
join(zero,complement(one)) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_55]),c_0_38]),c_0_32]) ).
cnf(c_0_58,plain,
join(composition(X1,X2),composition(X3,X2)) = composition(join(X1,X3),X2),
i_0_2 ).
cnf(c_0_59,plain,
join(complement(join(X1,complement(X2))),complement(join(complement(X2),complement(X1)))) = X2,
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_60,plain,
join(complement(complement(one)),complement(join(one,zero))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_32]),c_0_32]) ).
cnf(c_0_61,plain,
join(X1,composition(X2,X1)) = composition(join(one,X2),X1),
inference(spm,[status(thm)],[c_0_58,c_0_41]) ).
cnf(c_0_62,plain,
join(converse(X1),converse(X2)) = converse(join(X1,X2)),
i_0_4 ).
cnf(c_0_63,plain,
join(zero,complement(join(one,one))) = complement(one),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_42]),c_0_48]),c_0_38]),c_0_32]) ).
cnf(c_0_64,plain,
join(top,complement(one)) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_45]),c_0_35]),c_0_32]) ).
cnf(c_0_65,plain,
converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_66,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(spm,[status(thm)],[c_0_61,c_0_41]) ).
cnf(c_0_67,plain,
converse(join(one,X1)) = join(one,converse(X1)),
inference(spm,[status(thm)],[c_0_62,c_0_37]) ).
cnf(c_0_68,plain,
join(top,complement(join(one,one))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_63]),c_0_64]) ).
cnf(c_0_69,plain,
join(X1,X1) = composition(X1,join(one,one)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_62]),c_0_28]),c_0_67]),c_0_37]) ).
cnf(c_0_70,plain,
join(one,one) = one,
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_59,c_0_68]),c_0_38]),c_0_38]),c_0_32]),c_0_63]),c_0_48]) ).
cnf(c_0_71,negated_conjecture,
( join(join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)),composition(esk1_0,join(esk2_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0))
| join(join(composition(esk1_0,join(esk2_0,esk3_0)),composition(esk1_0,esk2_0)),composition(esk1_0,esk3_0)) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0)) ),
i_0_11 ).
cnf(c_0_72,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_30]) ).
cnf(c_0_73,negated_conjecture,
( join(composition(esk1_0,esk3_0),join(composition(esk1_0,esk2_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
| join(composition(esk1_0,join(esk2_0,esk3_0)),join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_32]),c_0_32]),c_0_32]) ).
cnf(c_0_74,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(spm,[status(thm)],[c_0_32,c_0_42]) ).
cnf(c_0_75,plain,
converse(join(composition(converse(X1),X2),X3)) = join(composition(converse(X2),X1),converse(X3)),
inference(spm,[status(thm)],[c_0_62,c_0_29]) ).
cnf(c_0_76,plain,
join(composition(X1,converse(X2)),converse(composition(X2,X3))) = composition(join(X1,converse(X3)),converse(X2)),
inference(spm,[status(thm)],[c_0_58,c_0_27]) ).
cnf(c_0_77,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_72]),c_0_42]),c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != join(composition(esk1_0,esk2_0),composition(esk1_0,esk3_0))
| join(composition(esk1_0,esk2_0),join(composition(esk1_0,esk3_0),composition(esk1_0,join(esk2_0,esk3_0)))) != composition(esk1_0,join(esk2_0,esk3_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_74]),c_0_32]),c_0_74]) ).
cnf(c_0_79,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_75,c_0_76]),c_0_62]),c_0_27]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_80,plain,
join(X1,join(X2,X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_74,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_32]),c_0_79]),c_0_77]),c_0_79]),c_0_79]),c_0_80]),c_0_32]),c_0_79]),c_0_77])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : REL008+4 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % 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 : Fri Jul 8 11:24:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 # ENIGMATIC: Selected SinE mode:
% 0.18/0.45 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.18/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.18/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 7.99/2.38 # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.99/2.38 # Version: 2.1pre011
% 7.99/2.38 # Preprocessing time : 0.015 s
% 7.99/2.38
% 7.99/2.38 # Proof found!
% 7.99/2.38 # SZS status Theorem
% 7.99/2.38 # SZS output start CNFRefutation
% See solution above
% 7.99/2.38 # Proof object total steps : 67
% 7.99/2.38 # Proof object clause steps : 55
% 7.99/2.38 # Proof object formula steps : 12
% 7.99/2.38 # Proof object conjectures : 5
% 7.99/2.38 # Proof object clause conjectures : 4
% 7.99/2.38 # Proof object formula conjectures : 1
% 7.99/2.38 # Proof object initial clauses used : 12
% 7.99/2.38 # Proof object initial formulas used : 12
% 7.99/2.38 # Proof object generating inferences : 34
% 7.99/2.38 # Proof object simplifying inferences : 65
% 7.99/2.38 # Training examples: 0 positive, 0 negative
% 7.99/2.38 # Parsed axioms : 16
% 7.99/2.38 # Removed by relevancy pruning/SinE : 0
% 7.99/2.38 # Initial clauses : 16
% 7.99/2.38 # Removed in clause preprocessing : 0
% 7.99/2.38 # Initial clauses in saturation : 16
% 7.99/2.38 # Processed clauses : 549
% 7.99/2.38 # ...of these trivial : 153
% 7.99/2.38 # ...subsumed : 160
% 7.99/2.38 # ...remaining for further processing : 236
% 7.99/2.38 # Other redundant clauses eliminated : 0
% 7.99/2.38 # Clauses deleted for lack of memory : 0
% 7.99/2.38 # Backward-subsumed : 1
% 7.99/2.38 # Backward-rewritten : 109
% 7.99/2.38 # Generated clauses : 10947
% 7.99/2.38 # ...of the previous two non-trivial : 9056
% 7.99/2.38 # Contextual simplify-reflections : 0
% 7.99/2.38 # Paramodulations : 10947
% 7.99/2.38 # Factorizations : 0
% 7.99/2.38 # Equation resolutions : 0
% 7.99/2.38 # Propositional unsat checks : 0
% 7.99/2.38 # Propositional unsat check successes : 0
% 7.99/2.38 # Current number of processed clauses : 126
% 7.99/2.38 # Positive orientable unit clauses : 117
% 7.99/2.38 # Positive unorientable unit clauses: 9
% 7.99/2.38 # Negative unit clauses : 0
% 7.99/2.38 # Non-unit-clauses : 0
% 7.99/2.38 # Current number of unprocessed clauses: 5657
% 7.99/2.38 # ...number of literals in the above : 5657
% 7.99/2.38 # Current number of archived formulas : 0
% 7.99/2.38 # Current number of archived clauses : 110
% 7.99/2.38 # Clause-clause subsumption calls (NU) : 0
% 7.99/2.38 # Rec. Clause-clause subsumption calls : 0
% 7.99/2.38 # Non-unit clause-clause subsumptions : 0
% 7.99/2.38 # Unit Clause-clause subsumption calls : 39
% 7.99/2.38 # Rewrite failures with RHS unbound : 0
% 7.99/2.38 # BW rewrite match attempts : 1393
% 7.99/2.38 # BW rewrite match successes : 133
% 7.99/2.38 # Condensation attempts : 0
% 7.99/2.38 # Condensation successes : 0
% 7.99/2.38 # Termbank termtop insertions : 339113
% 7.99/2.38
% 7.99/2.38 # -------------------------------------------------
% 7.99/2.38 # User time : 0.162 s
% 7.99/2.38 # System time : 0.010 s
% 7.99/2.38 # Total time : 0.172 s
% 7.99/2.38 # ...preprocessing : 0.015 s
% 7.99/2.38 # ...main loop : 0.157 s
% 7.99/2.38 # Maximum resident set size: 15804 pages
% 7.99/2.38
%------------------------------------------------------------------------------