0.00/0.04 % 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 0.03/0.26 % Computer : n064.star.cs.uiowa.edu 0.03/0.26 % Model : x86_64 x86_64 0.03/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.26 % Memory : 32218.625MB 0.03/0.26 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.26 % CPULimit : 300 0.03/0.26 % DateTime : Sat Jul 14 04:16:56 CDT 2018 0.03/0.26 % CPUTime : 0.03/0.26 # Version: 2.2pre001 0.03/0.26 # No SInE strategy applied 0.03/0.26 # Trying AutoSched0 for 151 seconds 2.98/3.21 # AutoSched0-Mode selected heuristic H_____047_B31_F1_PI_AE_R4_CS_SP_S2S 2.98/3.21 # and selection function SelectNewComplexAHP. 2.98/3.21 # 2.98/3.21 # Preprocessing time : 0.008 s 2.98/3.21 2.98/3.21 # Proof found! 2.98/3.21 # SZS status Theorem 2.98/3.21 # SZS output start CNFRefutation 2.98/3.21 fof(converse_multiplicativity, axiom, ![X1, X2]:converse(composition(X1,X2))=composition(converse(X2),converse(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_multiplicativity)). 2.98/3.21 fof(composition_identity, axiom, ![X1]:composition(X1,one)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', composition_identity)). 2.98/3.21 fof(converse_idempotence, axiom, ![X1]:converse(converse(X1))=X1, file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_idempotence)). 2.98/3.21 fof(converse_cancellativity, axiom, ![X1, X2]:join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_cancellativity)). 2.98/3.21 fof(maddux1_join_commutativity, axiom, ![X1, X2]:join(X1,X2)=join(X2,X1), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', maddux1_join_commutativity)). 2.98/3.21 fof(def_zero, axiom, ![X1]:zero=meet(X1,complement(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', def_zero)). 2.98/3.21 fof(maddux4_definiton_of_meet, axiom, ![X1, X2]:meet(X1,X2)=complement(join(complement(X1),complement(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', maddux4_definiton_of_meet)). 2.98/3.21 fof(def_top, axiom, ![X1]:top=join(X1,complement(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', def_top)). 2.98/3.21 fof(maddux3_a_kind_of_de_Morgan, axiom, ![X1, X2]:X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', maddux3_a_kind_of_de_Morgan)). 2.98/3.21 fof(maddux2_join_associativity, axiom, ![X1, X2, X3]:join(X1,join(X2,X3))=join(join(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', maddux2_join_associativity)). 2.98/3.21 fof(converse_additivity, axiom, ![X1, X2]:join(converse(X1),converse(X2))=converse(join(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', converse_additivity)). 2.98/3.21 fof(goals, conjecture, ![X1, X2]:(composition(X1,X2)=meet(X1,X2)<=(one=join(X1,one)&join(X2,one)=one)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)). 2.98/3.21 fof(composition_distributivity, axiom, ![X1, X2, X3]:composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', composition_distributivity)). 2.98/3.21 fof(modular_law_2, axiom, ![X1, X2, X3]:join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3))=meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+1.ax', modular_law_2)). 2.98/3.21 fof(composition_associativity, axiom, ![X1, X2, X3]:composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax', composition_associativity)). 2.98/3.21 fof(c_0_15, plain, ![X8, X9]:converse(composition(X8,X9))=composition(converse(X9),converse(X8)), inference(variable_rename,[status(thm)],[converse_multiplicativity])). 2.98/3.21 fof(c_0_16, plain, ![X20]:composition(X20,one)=X20, inference(variable_rename,[status(thm)],[composition_identity])). 2.98/3.21 cnf(c_0_17, plain, (converse(composition(X1,X2))=composition(converse(X2),converse(X1))), inference(split_conjunct,[status(thm)],[c_0_15])). 2.98/3.21 cnf(c_0_18, plain, (composition(X1,one)=X1), inference(split_conjunct,[status(thm)],[c_0_16])). 2.98/3.21 fof(c_0_19, plain, ![X13]:converse(converse(X13))=X13, inference(variable_rename,[status(thm)],[converse_idempotence])). 2.98/3.21 cnf(c_0_20, plain, (composition(converse(one),converse(X1))=converse(X1)), inference(spm,[status(thm)],[c_0_17, c_0_18])). 2.98/3.21 cnf(c_0_21, plain, (converse(converse(X1))=X1), inference(split_conjunct,[status(thm)],[c_0_19])). 2.98/3.21 fof(c_0_22, plain, ![X16, X17]:join(composition(converse(X16),complement(composition(X16,X17))),complement(X17))=complement(X17), inference(variable_rename,[status(thm)],[converse_cancellativity])). 2.98/3.21 fof(c_0_23, plain, ![X18, X19]:join(X18,X19)=join(X19,X18), inference(variable_rename,[status(thm)],[maddux1_join_commutativity])). 2.98/3.21 cnf(c_0_24, plain, (composition(converse(one),X1)=X1), inference(spm,[status(thm)],[c_0_20, c_0_21])). 2.98/3.21 fof(c_0_25, plain, ![X6]:zero=meet(X6,complement(X6)), inference(variable_rename,[status(thm)],[def_zero])). 2.98/3.21 fof(c_0_26, plain, ![X21, X22]:meet(X21,X22)=complement(join(complement(X21),complement(X22))), inference(variable_rename,[status(thm)],[maddux4_definiton_of_meet])). 2.98/3.21 cnf(c_0_27, plain, (join(composition(converse(X1),complement(composition(X1,X2))),complement(X2))=complement(X2)), inference(split_conjunct,[status(thm)],[c_0_22])). 2.98/3.21 cnf(c_0_28, plain, (join(X1,X2)=join(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_23])). 2.98/3.21 cnf(c_0_29, plain, (converse(one)=one), inference(spm,[status(thm)],[c_0_18, c_0_24])). 2.98/3.21 cnf(c_0_30, plain, (zero=meet(X1,complement(X1))), inference(split_conjunct,[status(thm)],[c_0_25])). 2.98/3.21 cnf(c_0_31, plain, (meet(X1,X2)=complement(join(complement(X1),complement(X2)))), inference(split_conjunct,[status(thm)],[c_0_26])). 2.98/3.21 fof(c_0_32, plain, ![X7]:top=join(X7,complement(X7)), inference(variable_rename,[status(thm)],[def_top])). 2.98/3.21 cnf(c_0_33, plain, (join(complement(X1),composition(converse(X2),complement(composition(X2,X1))))=complement(X1)), inference(rw,[status(thm)],[c_0_27, c_0_28])). 2.98/3.21 cnf(c_0_34, plain, (composition(one,X1)=X1), inference(rw,[status(thm)],[c_0_24, c_0_29])). 2.98/3.21 cnf(c_0_35, plain, (zero=complement(join(complement(X1),complement(complement(X1))))), inference(rw,[status(thm)],[c_0_30, c_0_31])). 2.98/3.21 cnf(c_0_36, plain, (top=join(X1,complement(X1))), inference(split_conjunct,[status(thm)],[c_0_32])). 2.98/3.21 fof(c_0_37, plain, ![X4, X5]:X4=join(complement(join(complement(X4),complement(X5))),complement(join(complement(X4),X5))), inference(variable_rename,[status(thm)],[maddux3_a_kind_of_de_Morgan])). 2.98/3.21 fof(c_0_38, plain, ![X26, X27, X28]:join(X26,join(X27,X28))=join(join(X26,X27),X28), inference(variable_rename,[status(thm)],[maddux2_join_associativity])). 2.98/3.21 cnf(c_0_39, plain, (join(complement(X1),complement(X1))=complement(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_34]), c_0_29]), c_0_34])). 2.98/3.21 cnf(c_0_40, plain, (complement(top)=zero), inference(rw,[status(thm)],[c_0_35, c_0_36])). 2.98/3.21 cnf(c_0_41, plain, (X1=join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2)))), inference(split_conjunct,[status(thm)],[c_0_37])). 2.98/3.21 cnf(c_0_42, plain, (join(X1,join(X2,X3))=join(join(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_38])). 2.98/3.21 cnf(c_0_43, plain, (join(zero,zero)=zero), inference(spm,[status(thm)],[c_0_39, c_0_40])). 2.98/3.21 cnf(c_0_44, plain, (join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2))))=X1), inference(rw,[status(thm)],[c_0_41, c_0_28])). 2.98/3.21 cnf(c_0_45, plain, (join(zero,join(zero,X1))=join(zero,X1)), inference(spm,[status(thm)],[c_0_42, c_0_43])). 2.98/3.21 cnf(c_0_46, plain, (join(zero,complement(complement(X1)))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_39]), c_0_36]), c_0_40]), c_0_28])). 2.98/3.21 cnf(c_0_47, plain, (join(zero,X1)=X1), inference(spm,[status(thm)],[c_0_45, c_0_46])). 2.98/3.21 cnf(c_0_48, plain, (complement(complement(X1))=X1), inference(rw,[status(thm)],[c_0_46, c_0_47])). 2.98/3.21 cnf(c_0_49, plain, (join(X1,X1)=X1), inference(spm,[status(thm)],[c_0_39, c_0_48])). 2.98/3.21 cnf(c_0_50, plain, (join(X1,join(X1,X2))=join(X1,X2)), inference(spm,[status(thm)],[c_0_42, c_0_49])). 2.98/3.21 cnf(c_0_51, plain, (join(top,zero)=top), inference(spm,[status(thm)],[c_0_36, c_0_40])). 2.98/3.21 cnf(c_0_52, plain, (join(X1,join(complement(X1),X2))=join(top,X2)), inference(spm,[status(thm)],[c_0_42, c_0_36])). 2.98/3.21 cnf(c_0_53, plain, (join(X1,complement(join(complement(X1),X2)))=X1), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_44]), c_0_28])). 2.98/3.21 cnf(c_0_54, plain, (join(X1,join(X2,X1))=join(X2,X1)), inference(spm,[status(thm)],[c_0_50, c_0_28])). 2.98/3.21 fof(c_0_55, plain, ![X14, X15]:join(converse(X14),converse(X15))=converse(join(X14,X15)), inference(variable_rename,[status(thm)],[converse_additivity])). 2.98/3.21 cnf(c_0_56, plain, (join(top,join(zero,X1))=join(top,X1)), inference(spm,[status(thm)],[c_0_42, c_0_51])). 2.98/3.21 cnf(c_0_57, plain, (join(top,complement(X1))=top), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_39]), c_0_36])). 2.98/3.21 fof(c_0_58, negated_conjecture, ~(![X1, X2]:(composition(X1,X2)=meet(X1,X2)<=(one=join(X1,one)&join(X2,one)=one))), inference(assume_negation,[status(cth)],[goals])). 2.98/3.21 cnf(c_0_59, plain, (join(X1,complement(join(X2,complement(X1))))=X1), inference(spm,[status(thm)],[c_0_53, c_0_54])). 2.98/3.21 cnf(c_0_60, plain, (join(converse(X1),converse(X2))=converse(join(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_55])). 2.98/3.21 cnf(c_0_61, plain, (join(top,X1)=top), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_46]), c_0_57])). 2.98/3.21 fof(c_0_62, negated_conjecture, ((one=join(esk1_0,one)&join(esk2_0,one)=one)&composition(esk1_0,esk2_0)!=meet(esk1_0,esk2_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_58])])])])). 2.98/3.22 cnf(c_0_63, plain, (join(X1,join(X2,X3))=join(X2,join(X1,X3))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_28]), c_0_42])). 2.98/3.22 cnf(c_0_64, plain, (join(complement(X1),complement(join(X2,X1)))=complement(X1)), inference(spm,[status(thm)],[c_0_59, c_0_48])). 2.98/3.22 cnf(c_0_65, plain, (join(converse(top),converse(X1))=converse(top)), inference(spm,[status(thm)],[c_0_60, c_0_61])). 2.98/3.22 fof(c_0_66, plain, ![X23, X24, X25]:composition(join(X23,X24),X25)=join(composition(X23,X25),composition(X24,X25)), inference(variable_rename,[status(thm)],[composition_distributivity])). 2.98/3.22 cnf(c_0_67, negated_conjecture, (join(esk2_0,one)=one), inference(split_conjunct,[status(thm)],[c_0_62])). 2.98/3.22 cnf(c_0_68, negated_conjecture, (one=join(esk1_0,one)), inference(split_conjunct,[status(thm)],[c_0_62])). 2.98/3.22 cnf(c_0_69, plain, (join(complement(X1),complement(join(complement(X1),complement(X2))))=join(complement(X1),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_44]), c_0_48]), c_0_63]), c_0_28]), c_0_64])). 2.98/3.22 cnf(c_0_70, plain, (join(X1,top)=top), inference(spm,[status(thm)],[c_0_28, c_0_61])). 2.98/3.22 cnf(c_0_71, plain, (join(converse(top),X1)=converse(top)), inference(spm,[status(thm)],[c_0_65, c_0_21])). 2.98/3.22 cnf(c_0_72, plain, (composition(join(X1,X2),X3)=join(composition(X1,X3),composition(X2,X3))), inference(split_conjunct,[status(thm)],[c_0_66])). 2.98/3.22 cnf(c_0_73, negated_conjecture, (join(one,converse(esk2_0))=one), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_67]), c_0_29]), c_0_28]), c_0_29])). 2.98/3.22 cnf(c_0_74, plain, (join(X1,join(complement(X1),X2))=top), inference(rw,[status(thm)],[c_0_52, c_0_61])). 2.98/3.22 cnf(c_0_75, negated_conjecture, (join(one,converse(esk1_0))=one), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_68]), c_0_29]), c_0_28]), c_0_29])). 2.98/3.22 cnf(c_0_76, plain, (join(X1,complement(join(X1,complement(X2))))=join(X1,X2)), inference(spm,[status(thm)],[c_0_69, c_0_48])). 2.98/3.22 cnf(c_0_77, plain, (join(converse(X1),converse(complement(X1)))=converse(top)), inference(spm,[status(thm)],[c_0_60, c_0_36])). 2.98/3.22 cnf(c_0_78, plain, (converse(top)=top), inference(spm,[status(thm)],[c_0_70, c_0_71])). 2.98/3.22 cnf(c_0_79, negated_conjecture, (join(X1,composition(converse(esk2_0),X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_34]), c_0_34])). 2.98/3.22 cnf(c_0_80, plain, (join(complement(X1),join(X1,X2))=top), inference(spm,[status(thm)],[c_0_74, c_0_48])). 2.98/3.22 cnf(c_0_81, negated_conjecture, (join(X1,composition(converse(esk1_0),X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_75]), c_0_34]), c_0_34])). 2.98/3.22 cnf(c_0_82, plain, (join(X1,complement(join(X1,X2)))=join(X1,complement(X2))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_76]), c_0_50])). 2.98/3.22 cnf(c_0_83, plain, (join(converse(X1),converse(complement(X1)))=top), inference(rw,[status(thm)],[c_0_77, c_0_78])). 2.98/3.22 cnf(c_0_84, plain, (join(X1,zero)=X1), inference(spm,[status(thm)],[c_0_28, c_0_47])). 2.98/3.22 cnf(c_0_85, negated_conjecture, (join(converse(X1),composition(converse(X1),esk2_0))=converse(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_79]), c_0_17]), c_0_21])). 2.98/3.22 cnf(c_0_86, negated_conjecture, (join(one,complement(esk2_0))=top), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_67]), c_0_28])). 2.98/3.22 fof(c_0_87, plain, ![X32, X33, X34]:join(meet(composition(X32,X33),X34),meet(composition(meet(X32,composition(X34,converse(X33))),X33),X34))=meet(composition(meet(X32,composition(X34,converse(X33))),X33),X34), inference(variable_rename,[status(thm)],[modular_law_2])). 2.98/3.22 cnf(c_0_88, negated_conjecture, (join(converse(X1),composition(converse(X1),esk1_0))=converse(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_81]), c_0_17]), c_0_21])). 2.98/3.22 cnf(c_0_89, plain, (join(converse(X1),complement(converse(complement(X1))))=converse(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_40]), c_0_84])). 2.98/3.22 cnf(c_0_90, plain, (join(complement(X1),complement(join(X1,X2)))=complement(X1)), inference(spm,[status(thm)],[c_0_53, c_0_48])). 2.98/3.22 cnf(c_0_91, negated_conjecture, (join(X1,composition(X1,esk2_0))=X1), inference(spm,[status(thm)],[c_0_85, c_0_21])). 2.98/3.22 fof(c_0_92, plain, ![X10, X11, X12]:composition(X10,composition(X11,X12))=composition(composition(X10,X11),X12), inference(variable_rename,[status(thm)],[composition_associativity])). 2.98/3.22 cnf(c_0_93, negated_conjecture, (join(X1,composition(complement(esk2_0),X1))=composition(top,X1)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_86]), c_0_34])). 2.98/3.22 cnf(c_0_94, plain, (join(meet(composition(X1,X2),X3),meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3))=meet(composition(meet(X1,composition(X3,converse(X2))),X2),X3)), inference(split_conjunct,[status(thm)],[c_0_87])). 2.98/3.22 cnf(c_0_95, negated_conjecture, (join(X1,composition(X1,esk1_0))=X1), inference(spm,[status(thm)],[c_0_88, c_0_21])). 2.98/3.22 cnf(c_0_96, plain, (join(composition(X1,X2),composition(complement(X1),X2))=composition(top,X2)), inference(spm,[status(thm)],[c_0_72, c_0_36])). 2.98/3.22 cnf(c_0_97, plain, (join(X1,converse(complement(converse(complement(X1)))))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_89]), c_0_21]), c_0_21])). 2.98/3.22 cnf(c_0_98, plain, (join(X1,converse(complement(converse(X1))))=top), inference(spm,[status(thm)],[c_0_83, c_0_21])). 2.98/3.22 cnf(c_0_99, negated_conjecture, (join(complement(esk2_0),complement(one))=complement(esk2_0)), inference(spm,[status(thm)],[c_0_90, c_0_67])). 2.98/3.22 cnf(c_0_100, negated_conjecture, (join(X1,join(composition(X1,esk2_0),X2))=join(X1,X2)), inference(spm,[status(thm)],[c_0_42, c_0_91])). 2.98/3.22 cnf(c_0_101, plain, (composition(X1,composition(X2,X3))=composition(composition(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_92])). 2.98/3.22 cnf(c_0_102, negated_conjecture, (join(complement(X1),composition(top,X1))=top), inference(spm,[status(thm)],[c_0_80, c_0_93])). 2.98/3.22 cnf(c_0_103, 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)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94, c_0_31]), c_0_31]), c_0_31]), c_0_31]), c_0_31])). 2.98/3.22 cnf(c_0_104, negated_conjecture, (join(X1,join(X2,composition(X1,esk1_0)))=join(X2,X1)), inference(spm,[status(thm)],[c_0_63, c_0_95])). 2.98/3.22 cnf(c_0_105, plain, (join(X1,composition(complement(one),X1))=composition(top,X1)), inference(spm,[status(thm)],[c_0_96, c_0_34])). 2.98/3.22 cnf(c_0_106, negated_conjecture, (join(X1,join(X2,composition(X1,esk2_0)))=join(X2,X1)), inference(spm,[status(thm)],[c_0_63, c_0_91])). 2.98/3.22 cnf(c_0_107, plain, (join(complement(X1),converse(complement(converse(X1))))=complement(X1)), inference(spm,[status(thm)],[c_0_97, c_0_48])). 2.98/3.22 cnf(c_0_108, plain, (join(X1,complement(converse(complement(converse(X1)))))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_98]), c_0_40]), c_0_84])). 2.98/3.22 cnf(c_0_109, negated_conjecture, (join(complement(esk2_0),join(complement(one),X1))=join(complement(esk2_0),X1)), inference(spm,[status(thm)],[c_0_42, c_0_99])). 2.98/3.22 cnf(c_0_110, negated_conjecture, (join(X1,composition(X1,composition(esk2_0,esk1_0)))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_95]), c_0_91]), c_0_101])). 2.98/3.22 cnf(c_0_111, negated_conjecture, (join(composition(top,composition(X1,X2)),composition(complement(X1),X2))=composition(top,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_102]), c_0_101]), c_0_28])). 2.98/3.22 cnf(c_0_112, 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_103, c_0_28]), c_0_28])). 2.98/3.22 cnf(c_0_113, negated_conjecture, (join(complement(one),composition(top,esk1_0))=join(esk1_0,complement(one))), inference(spm,[status(thm)],[c_0_104, c_0_105])). 2.98/3.22 cnf(c_0_114, plain, (join(X1,complement(join(X2,X1)))=join(X1,complement(X2))), inference(spm,[status(thm)],[c_0_82, c_0_28])). 2.98/3.22 cnf(c_0_115, negated_conjecture, (join(complement(esk1_0),complement(one))=complement(esk1_0)), inference(spm,[status(thm)],[c_0_90, c_0_68])). 2.98/3.22 cnf(c_0_116, negated_conjecture, (join(complement(one),composition(top,esk2_0))=join(esk2_0,complement(one))), inference(spm,[status(thm)],[c_0_106, c_0_105])). 2.98/3.22 cnf(c_0_117, plain, (complement(converse(complement(converse(X1))))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_107]), c_0_48]), c_0_28]), c_0_108])). 2.98/3.22 cnf(c_0_118, plain, (join(composition(X1,X2),join(X3,composition(complement(X1),X2)))=join(X3,composition(top,X2))), inference(spm,[status(thm)],[c_0_63, c_0_96])). 2.98/3.22 cnf(c_0_119, negated_conjecture, (join(complement(esk2_0),composition(complement(one),composition(esk2_0,esk1_0)))=complement(esk2_0)), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_99])). 2.98/3.22 cnf(c_0_120, negated_conjecture, (join(complement(X1),composition(top,composition(X1,esk1_0)))=join(complement(X1),composition(top,esk1_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_111]), c_0_28])). 2.98/3.22 cnf(c_0_121, negated_conjecture, (join(complement(esk2_0),composition(top,esk1_0))=join(esk1_0,complement(esk2_0))), inference(spm,[status(thm)],[c_0_104, c_0_93])). 2.98/3.22 cnf(c_0_122, 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_112, c_0_21])). 2.98/3.22 cnf(c_0_123, negated_conjecture, (join(complement(one),complement(composition(top,esk1_0)))=complement(esk1_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_113]), c_0_114]), c_0_28]), c_0_115])). 2.98/3.22 cnf(c_0_124, negated_conjecture, (join(X1,composition(esk1_0,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_68]), c_0_34]), c_0_28]), c_0_34])). 2.98/3.22 cnf(c_0_125, negated_conjecture, (join(complement(one),complement(composition(top,esk2_0)))=complement(esk2_0)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_116]), c_0_114]), c_0_28]), c_0_99])). 2.98/3.22 cnf(c_0_126, negated_conjecture, (join(X1,composition(esk2_0,X1))=X1), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_67]), c_0_34]), c_0_28]), c_0_34])). 2.98/3.22 cnf(c_0_127, plain, (converse(complement(converse(X1)))=complement(X1)), inference(spm,[status(thm)],[c_0_48, c_0_117])). 2.98/3.22 cnf(c_0_128, negated_conjecture, (join(complement(esk2_0),composition(esk2_0,esk1_0))=join(esk1_0,complement(esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118, c_0_119]), c_0_34]), c_0_120]), c_0_121]), c_0_28])). 2.98/3.22 cnf(c_0_129, negated_conjecture, (join(complement(X1),complement(composition(X1,esk1_0)))=complement(composition(X1,esk1_0))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_95]), c_0_28])). 2.98/3.22 cnf(c_0_130, negated_conjecture, (composition(esk1_0,converse(esk1_0))=converse(esk1_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(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(spm,[status(thm)],[c_0_122, c_0_123]), c_0_34]), c_0_40]), c_0_84]), c_0_48]), c_0_40]), c_0_48]), c_0_47]), c_0_48]), c_0_124]), c_0_40]), c_0_48]), c_0_47]), c_0_48])). 2.98/3.22 cnf(c_0_131, negated_conjecture, (composition(esk2_0,converse(esk2_0))=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(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(spm,[status(thm)],[c_0_122, c_0_125]), c_0_34]), c_0_40]), c_0_84]), c_0_48]), c_0_40]), c_0_48]), c_0_47]), c_0_48]), c_0_126]), c_0_40]), c_0_48]), c_0_47]), c_0_48])). 2.98/3.22 cnf(c_0_132, plain, (converse(complement(X1))=complement(converse(X1))), inference(spm,[status(thm)],[c_0_21, c_0_127])). 2.98/3.22 cnf(c_0_133, negated_conjecture, (complement(composition(esk2_0,esk1_0))=join(complement(esk1_0),complement(esk2_0))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_128]), c_0_114]), c_0_28]), c_0_129])). 2.98/3.22 cnf(c_0_134, negated_conjecture, (converse(esk1_0)=esk1_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_130]), c_0_21]), c_0_21]), c_0_130])). 2.98/3.22 cnf(c_0_135, negated_conjecture, (converse(esk2_0)=esk2_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17, c_0_131]), c_0_21]), c_0_21]), c_0_131])). 2.98/3.22 cnf(c_0_136, negated_conjecture, (composition(esk1_0,esk2_0)!=meet(esk1_0,esk2_0)), inference(split_conjunct,[status(thm)],[c_0_62])). 2.98/3.22 cnf(c_0_137, negated_conjecture, (complement(composition(esk1_0,esk2_0))=join(complement(esk1_0),complement(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132, c_0_133]), c_0_60]), c_0_132]), c_0_134]), c_0_132]), c_0_135]), c_0_17]), c_0_134]), c_0_135])). 2.98/3.22 cnf(c_0_138, negated_conjecture, (composition(esk1_0,esk2_0)!=complement(join(complement(esk1_0),complement(esk2_0)))), inference(rw,[status(thm)],[c_0_136, c_0_31])). 2.98/3.22 cnf(c_0_139, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_137]), c_0_138]), ['proof']). 2.98/3.22 # SZS output end CNFRefutation 2.98/3.22 # Proof object total steps : 140 2.98/3.22 # Proof object clause steps : 109 2.98/3.22 # Proof object formula steps : 31 2.98/3.22 # Proof object conjectures : 44 2.98/3.22 # Proof object clause conjectures : 41 2.98/3.22 # Proof object formula conjectures : 3 2.98/3.22 # Proof object initial clauses used : 17 2.98/3.22 # Proof object initial formulas used : 15 2.98/3.22 # Proof object generating inferences : 81 2.98/3.22 # Proof object simplifying inferences : 122 2.98/3.22 # Training examples: 0 positive, 0 negative 2.98/3.22 # Parsed axioms : 17 2.98/3.22 # Removed by relevancy pruning/SinE : 0 2.98/3.22 # Initial clauses : 19 2.98/3.22 # Removed in clause preprocessing : 1 2.98/3.22 # Initial clauses in saturation : 18 2.98/3.22 # Processed clauses : 9982 2.98/3.22 # ...of these trivial : 5966 2.98/3.22 # ...subsumed : 2701 2.98/3.22 # ...remaining for further processing : 1315 2.98/3.22 # Other redundant clauses eliminated : 0 2.98/3.22 # Clauses deleted for lack of memory : 0 2.98/3.22 # Backward-subsumed : 0 2.98/3.22 # Backward-rewritten : 394 2.98/3.22 # Generated clauses : 305311 2.98/3.22 # ...of the previous two non-trivial : 150985 2.98/3.22 # Contextual simplify-reflections : 0 2.98/3.22 # Paramodulations : 305311 2.98/3.22 # Factorizations : 0 2.98/3.22 # Equation resolutions : 0 2.98/3.22 # Propositional unsat checks : 0 2.98/3.22 # Propositional check models : 0 2.98/3.22 # Propositional check unsatisfiable : 0 2.98/3.22 # Propositional clauses : 0 2.98/3.22 # Propositional clauses after purity: 0 2.98/3.22 # Propositional unsat core size : 0 2.98/3.22 # Current number of processed clauses : 921 2.98/3.22 # Positive orientable unit clauses : 916 2.98/3.22 # Positive unorientable unit clauses: 4 2.98/3.22 # Negative unit clauses : 1 2.98/3.22 # Non-unit-clauses : 0 2.98/3.22 # Current number of unprocessed clauses: 108505 2.98/3.22 # ...number of literals in the above : 108505 2.98/3.22 # Current number of archived formulas : 0 2.98/3.22 # Current number of archived clauses : 395 2.98/3.22 # Clause-clause subsumption calls (NU) : 0 2.98/3.22 # Rec. Clause-clause subsumption calls : 0 2.98/3.22 # Non-unit clause-clause subsumptions : 0 2.98/3.22 # Unit Clause-clause subsumption calls : 26 2.98/3.22 # Rewrite failures with RHS unbound : 0 2.98/3.22 # BW rewrite match attempts : 18739 2.98/3.22 # BW rewrite match successes : 433 2.98/3.22 # Condensation attempts : 0 2.98/3.22 # Condensation successes : 0 2.98/3.22 # Termbank termtop insertions : 6666035 2.98/3.23 2.98/3.23 # ------------------------------------------------- 2.98/3.23 # User time : 2.845 s 2.98/3.23 # System time : 0.124 s 2.98/3.23 # Total time : 2.970 s 2.98/3.23 # Maximum resident set size: 1536 pages 2.98/3.24 EOF