0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule --cpu-limit=%d %s 0.03/0.23 % Computer : n018.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:46:39 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.23 # Version: 2.2pre001 0.07/0.26 # No SInE strategy applied 0.07/0.26 # Trying AutoSched0 for 151 seconds 14.51/14.70 # AutoSched0-Mode selected heuristic G_E___200_C41_F1_AE_CS_SP_PI_S0Y 14.51/14.70 # and selection function SelectMaxLComplexAvoidPosPred. 14.51/14.70 # 14.51/14.70 # Preprocessing time : 0.067 s 14.51/14.70 14.51/14.70 # Proof found! 14.51/14.70 # SZS status Theorem 14.51/14.70 # SZS output start CNFRefutation 14.51/14.70 fof(conj_0, conjecture, ?[X1, X80]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X80),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X80),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj_0)). 14.51/14.70 fof(fact_Suc__eq__plus1__left, axiom, ![X8]:c_Nat_OSuc(X8)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Suc__eq__plus1__left)). 14.51/14.70 fof(fact_Nat_Oadd__0__right, axiom, ![X10]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X10,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X10, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)). 14.51/14.70 fof(fact_power__one, axiom, ![X8, X3]:(c_Groups_Oone__class_Oone(X3)=hAPP(hAPP(c_Power_Opower__class_Opower(X3),c_Groups_Oone__class_Oone(X3)),X8)<=class_Groups_Omonoid__mult(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_power__one)). 14.51/14.70 fof(fact_mult__zero__left, axiom, ![X9, X3]:(class_Rings_Omult__zero(X3)=>c_Groups_Ozero__class_Ozero(X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),c_Groups_Ozero__class_Ozero(X3)),X9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_mult__zero__left)). 14.51/14.70 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom, ![X9, X3]:(X9=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),c_Groups_Oone__class_Oone(X3)),X9)<=class_Rings_Ocomm__semiring__1(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J)). 14.51/14.70 fof(arity_Complex__Ocomplex__Groups_Omonoid__mult, axiom, class_Groups_Omonoid__mult(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Omonoid__mult)). 14.51/14.70 fof(fact_zero__neq__one, axiom, ![X3]:(c_Groups_Oone__class_Oone(X3)!=c_Groups_Ozero__class_Ozero(X3)<=class_Rings_Ozero__neq__one(X3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fact_zero__neq__one)). 14.51/14.70 fof(arity_Complex__Ocomplex__Rings_Omult__zero, axiom, class_Rings_Omult__zero(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Omult__zero)). 14.51/14.70 fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1, axiom, class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__semiring__1)). 14.51/14.70 fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one, axiom, class_Rings_Ozero__neq__one(tc_Complex_Ocomplex), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ozero__neq__one)). 14.51/14.70 fof(c_0_11, negated_conjecture, ~(?[X1, X80]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X80),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X80),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))), inference(assume_negation,[status(cth)],[conj_0])). 14.51/14.70 fof(c_0_12, negated_conjecture, ![X2433, X2434]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2434),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2434),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2433),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2433),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])). 14.51/14.70 fof(c_0_13, plain, ![X963]:c_Nat_OSuc(X963)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X963), inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left])). 14.51/14.70 cnf(c_0_14, negated_conjecture, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))), inference(split_conjunct,[status(thm)],[c_0_12])). 14.51/14.70 cnf(c_0_15, plain, (c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[c_0_13])). 14.51/14.70 fof(c_0_16, plain, ![X2303]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2303,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2303, inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])). 14.51/14.70 fof(c_0_17, plain, ![X1628, X1629]:(~class_Groups_Omonoid__mult(X1629)|c_Groups_Oone__class_Oone(X1629)=hAPP(hAPP(c_Power_Opower__class_Opower(X1629),c_Groups_Oone__class_Oone(X1629)),X1628)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_power__one])])])). 14.51/14.70 fof(c_0_18, plain, ![X2632, X2633]:(~class_Rings_Omult__zero(X2633)|c_Groups_Ozero__class_Ozero(X2633)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2633),c_Groups_Ozero__class_Ozero(X2633)),X2632)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])])). 14.51/14.70 fof(c_0_19, plain, ![X1118, X1119]:(~class_Rings_Ocomm__semiring__1(X1119)|X1118=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1119),c_Groups_Oone__class_Oone(X1119)),X1118)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])])])). 14.51/14.70 cnf(c_0_20, negated_conjecture, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_15])). 14.51/14.70 cnf(c_0_21, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[c_0_16])). 14.51/14.70 cnf(c_0_22, plain, (c_Groups_Oone__class_Oone(X1)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2)|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 14.51/14.70 cnf(c_0_23, plain, (class_Groups_Omonoid__mult(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__mult])). 14.51/14.70 fof(c_0_24, plain, ![X2291]:(~class_Rings_Ozero__neq__one(X2291)|c_Groups_Oone__class_Oone(X2291)!=c_Groups_Ozero__class_Ozero(X2291)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_zero__neq__one])])])). 14.51/14.70 cnf(c_0_25, plain, (c_Groups_Ozero__class_Ozero(X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)|~class_Rings_Omult__zero(X1)), inference(split_conjunct,[status(thm)],[c_0_18])). 14.51/14.70 cnf(c_0_26, plain, (class_Rings_Omult__zero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Omult__zero])). 14.51/14.70 cnf(c_0_27, plain, (X2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[c_0_19])). 14.51/14.70 cnf(c_0_28, negated_conjecture, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_21])). 14.51/14.70 cnf(c_0_29, plain, (class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1])). 14.51/14.70 cnf(c_0_30, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)),X1)=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)), inference(spm,[status(thm)],[c_0_22, c_0_23])). 14.51/14.70 cnf(c_0_31, plain, (~class_Rings_Ozero__neq__one(X1)|c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[c_0_24])). 14.51/14.70 cnf(c_0_32, plain, (class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one])). 14.51/14.70 cnf(c_0_33, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(spm,[status(thm)],[c_0_25, c_0_26])). 14.51/14.70 cnf(c_0_34, negated_conjecture, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Complex_Ocomplex),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,v_k____,c_Groups_Oone__class_Oone(tc_Nat_Onat))))=c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)), inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), c_0_30])). 14.51/14.70 cnf(c_0_35, plain, (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 14.51/14.70 cnf(c_0_36, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_35]), ['proof']). 14.51/14.70 # SZS output end CNFRefutation 14.51/14.70 # Proof object total steps : 37 14.51/14.70 # Proof object clause steps : 18 14.51/14.70 # Proof object formula steps : 19 14.51/14.70 # Proof object conjectures : 8 14.51/14.70 # Proof object clause conjectures : 5 14.51/14.70 # Proof object formula conjectures : 3 14.51/14.70 # Proof object initial clauses used : 11 14.51/14.70 # Proof object initial formulas used : 11 14.51/14.70 # Proof object generating inferences : 5 14.51/14.70 # Proof object simplifying inferences : 8 14.51/14.70 # Training examples: 0 positive, 0 negative 14.51/14.70 # Parsed axioms : 1284 14.51/14.70 # Removed by relevancy pruning/SinE : 0 14.51/14.70 # Initial clauses : 1720 14.51/14.70 # Removed in clause preprocessing : 50 14.51/14.70 # Initial clauses in saturation : 1670 14.51/14.70 # Processed clauses : 55341 14.51/14.70 # ...of these trivial : 618 14.51/14.70 # ...subsumed : 48471 14.51/14.70 # ...remaining for further processing : 6252 14.51/14.70 # Other redundant clauses eliminated : 3117 14.51/14.70 # Clauses deleted for lack of memory : 0 14.51/14.70 # Backward-subsumed : 238 14.51/14.70 # Backward-rewritten : 115 14.51/14.70 # Generated clauses : 1006309 14.51/14.70 # ...of the previous two non-trivial : 948303 14.51/14.70 # Contextual simplify-reflections : 10204 14.51/14.70 # Paramodulations : 1002915 14.51/14.70 # Factorizations : 24 14.51/14.70 # Equation resolutions : 3370 14.51/14.70 # Propositional unsat checks : 0 14.51/14.70 # Propositional check models : 0 14.51/14.70 # Propositional check unsatisfiable : 0 14.51/14.70 # Propositional clauses : 0 14.51/14.70 # Propositional clauses after purity: 0 14.51/14.70 # Propositional unsat core size : 0 14.51/14.70 # Current number of processed clauses : 5863 14.51/14.70 # Positive orientable unit clauses : 578 14.51/14.70 # Positive unorientable unit clauses: 39 14.51/14.70 # Negative unit clauses : 520 14.51/14.70 # Non-unit-clauses : 4726 14.51/14.70 # Current number of unprocessed clauses: 851975 14.51/14.70 # ...number of literals in the above : 2772664 14.51/14.70 # Current number of archived formulas : 0 14.51/14.70 # Current number of archived clauses : 354 14.51/14.70 # Clause-clause subsumption calls (NU) : 7547604 14.51/14.70 # Rec. Clause-clause subsumption calls : 5415738 14.51/14.70 # Non-unit clause-clause subsumptions : 26494 14.51/14.70 # Unit Clause-clause subsumption calls : 96850 14.51/14.70 # Rewrite failures with RHS unbound : 2 14.51/14.70 # BW rewrite match attempts : 21070 14.51/14.70 # BW rewrite match successes : 721 14.51/14.70 # Condensation attempts : 0 14.51/14.70 # Condensation successes : 0 14.51/14.70 # Termbank termtop insertions : 21427033 14.55/14.75 14.55/14.75 # ------------------------------------------------- 14.55/14.75 # User time : 14.007 s 14.55/14.75 # System time : 0.507 s 14.55/14.75 # Total time : 14.514 s 14.55/14.75 # Maximum resident set size: 3176 pages 14.55/14.75 EOF