0.03/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.10/0.31 % Computer : n016.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 07:05:50 EDT 2020 0.16/0.31 % CPUTime : 0.16/0.32 % Running in FOF/CNF-non-UEQ mode 0.16/0.36 # No SInE strategy applied 0.16/0.36 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN 0.16/0.36 # and selection function PSelectComplexExceptUniqMaxHorn. 0.16/0.36 # 0.16/0.36 # Presaturation interreduction done 0.16/0.36 # Number of axioms: 89 Number of unprocessed: 89 0.16/0.36 # Tableaux proof search. 0.16/0.36 # 89 beginning clauses after preprocessing and clausification 0.16/0.36 # Creating start rules for all conjectures. 0.16/0.36 # 28 unit axioms, 3 start rules, and 60 other extension candidates. 0.16/0.36 #### Beginning tableaux proof search with 3 start rule applications. 0.16/0.38 # Beginning deep saturation check 0.16/0.38 # Saturate returned empty clause 0x2d73a80. 0.16/0.38 # Success 0.16/0.38 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.38 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.38 # Begin clausification derivation 0.16/0.38 fof(ax48, axiom, ![X1, X2, X3, X4]:(((create_slb!=X2&strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))))&contains_slb(X2,findmin_pqp_res(X1)))=>findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax48)). 0.16/0.38 fof(ax47, axiom, ![X1, X2, X3, X4]:((~(contains_slb(X2,findmin_pqp_res(X1)))&X2!=create_slb)=>findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax47)). 0.16/0.38 fof(ax35, axiom, ![X1, X2]:(succ_cpq(X1,removemin_cpq_eff(X2))<=succ_cpq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax35)). 0.16/0.38 fof(ax52, axiom, ![X1]:removemin_cpq_eff(X1)=remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax52)). 0.16/0.38 fof(stricly_smaller_definition, axiom, ![X1, X2]:((~(less_than(X2,X1))&less_than(X1,X2))<=>strictly_less_than(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', stricly_smaller_definition)). 0.16/0.38 fof(totality, axiom, ![X1, X2]:(less_than(X1,X2)|less_than(X2,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', totality)). 0.16/0.38 fof(co3, conjecture, ![X1, X2, X3, X4]:((phi(remove_cpq(triple(X1,X2,X3),X4))=>(pi_sharp_remove(i(triple(X1,X2,X3)),X4)&i(remove_cpq(triple(X1,X2,X3),X4))=remove_pq(i(triple(X1,X2,X3)),X4)))<=pi_remove(triple(X1,X2,X3),X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co3)). 0.16/0.38 fof(ax23, axiom, ![X1, X2, X3, X4, X5]:(pair_in_list(insert_slb(X1,pair(X2,X4)),X3,X5)<=>((X5=X4&X3=X2)|pair_in_list(X1,X3,X5))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax23)). 0.16/0.38 fof(ax21, axiom, ![X1, X2, X3, X4]:((X2=X3|contains_slb(X1,X3))<=>contains_slb(insert_slb(X1,pair(X2,X4)),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax21)). 0.16/0.38 fof(ax9, axiom, ![X1, X2, X3]:((X2=X3|contains_pq(X1,X3))<=>contains_pq(insert_pq(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax9)). 0.16/0.38 fof(ax49, axiom, ![X1, X2, X3, X4]:(((contains_slb(X2,findmin_pqp_res(X1))&less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)))&create_slb!=X2)=>findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax49)). 0.16/0.38 fof(ax45, axiom, ![X1, X2, X3, X4]:((contains_slb(X2,X4)&strictly_less_than(X4,lookup_slb(X2,X4)))=>remove_cpq(triple(X1,X2,X3),X4)=triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax45)). 0.16/0.38 fof(ax44, axiom, ![X1, X2, X3, X4]:(remove_cpq(triple(X1,X2,X3),X4)=triple(remove_pqp(X1,X4),remove_slb(X2,X4),X3)<=(contains_slb(X2,X4)&less_than(lookup_slb(X2,X4),X4))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax44)). 0.16/0.38 fof(ax25, axiom, ![X1, X2, X3, X4]:((X2!=X3&contains_slb(X1,X3))=>remove_slb(insert_slb(X1,pair(X2,X4)),X3)=insert_slb(remove_slb(X1,X3),pair(X2,X4))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax25)). 0.16/0.38 fof(ax30, axiom, ![X1, X2, X3, X4]:(less_than(X3,X4)=>update_slb(insert_slb(X1,pair(X2,X4)),X3)=insert_slb(update_slb(X1,X3),pair(X2,X4))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax30)). 0.16/0.38 fof(ax29, axiom, ![X1, X2, X3, X4]:(strictly_less_than(X4,X3)=>insert_slb(update_slb(X1,X3),pair(X2,X3))=update_slb(insert_slb(X1,pair(X2,X4)),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax29)). 0.16/0.38 fof(ax27, axiom, ![X1, X2, X3, X4]:(lookup_slb(insert_slb(X1,pair(X2,X4)),X3)=lookup_slb(X1,X3)<=(X2!=X3&contains_slb(X1,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax27)). 0.16/0.38 fof(ax37, axiom, ![X1, X2, X3, X4, X5]:((check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))<=>check_cpq(triple(X1,X2,X3)))<=less_than(X5,X4)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax37)). 0.16/0.38 fof(main3_li34, lemma, ![X1, X2, X3, X4]:(remove_pq(i(triple(X1,X2,X3)),X4)=i(remove_cpq(triple(X1,X2,X3),X4))<=contains_pq(i(triple(X1,X2,X3)),X4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main3_li34)). 0.16/0.38 fof(ax12, axiom, ![X1, X2, X3]:((contains_pq(X1,X3)&X2!=X3)=>insert_pq(remove_pq(X1,X3),X2)=remove_pq(insert_pq(X1,X2),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax12)). 0.16/0.38 fof(ax43, axiom, ![X1, X2, X3, X4]:(triple(X1,X2,bad)=remove_cpq(triple(X1,X2,X3),X4)<=~(contains_slb(X2,X4))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax43)). 0.16/0.38 fof(ax39, axiom, ![X1, X2, X3, X4]:(contains_cpq(triple(X1,X2,X3),X4)<=>contains_slb(X2,X4)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax39)). 0.16/0.38 fof(ax15, axiom, ![X1, X2]:((issmallestelement_pq(X1,X2)&contains_pq(X1,X2))=>removemin_pq_eff(X1,X2)=remove_pq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax15)). 0.16/0.38 fof(ax32, axiom, ![X1, X2, X3]:(succ_cpq(X1,insert_cpq(X2,X3))<=succ_cpq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax32)). 0.16/0.38 fof(ax14, axiom, ![X1, X2]:((contains_pq(X1,X2)&issmallestelement_pq(X1,X2))=>findmin_pq_res(X1,X2)=X2), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax14)). 0.16/0.38 fof(ax10, axiom, ![X1, X2]:(![X3]:(less_than(X2,X3)<=contains_pq(X1,X3))<=>issmallestelement_pq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax10)). 0.16/0.38 fof(ax13, axiom, ![X1, X2]:(X1=findmin_pq_eff(X1,X2)<=(contains_pq(X1,X2)&issmallestelement_pq(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax13)). 0.16/0.38 fof(ax16, axiom, ![X1, X2]:((issmallestelement_pq(X1,X2)&contains_pq(X1,X2))=>X2=removemin_pq_res(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax16)). 0.16/0.38 fof(transitivity, axiom, ![X1, X2, X3]:((less_than(X1,X2)&less_than(X2,X3))=>less_than(X1,X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', transitivity)). 0.16/0.38 fof(ax51, axiom, ![X1, X2, X3, X4]:(X2!=create_slb=>findmin_cpq_res(triple(X1,X2,X3))=findmin_pqp_res(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax51)). 0.16/0.38 fof(ax33, axiom, ![X1, X2, X3]:(succ_cpq(X1,X2)=>succ_cpq(X1,remove_cpq(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax33)). 0.16/0.38 fof(ax38, axiom, ![X1, X2, X3, X4, X5]:((check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))<=>~$true)<=strictly_less_than(X4,X5)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax38)). 0.16/0.38 fof(ax62, axiom, ![X1]:(phi(X1)<=>?[X2]:((ok(X2)&check_cpq(X2))&succ_cpq(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax62)). 0.16/0.38 fof(ax58, axiom, ![X1, X2]:(pi_sharp_find_min(X1,X2)<=>(contains_pq(X1,X2)&issmallestelement_pq(X1,X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax58)). 0.16/0.38 fof(ax41, axiom, ![X1, X2, X3]:(~(ok(triple(X1,X2,X3)))=>X3=bad), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax41)). 0.16/0.38 fof(ax34, axiom, ![X1, X2]:(succ_cpq(X1,findmin_cpq_eff(X2))<=succ_cpq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax34)). 0.16/0.38 fof(ax61, axiom, ![X1]:(?[X2]:pi_sharp_find_min(i(X1),X2)<=>pi_removemin(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax61)). 0.16/0.38 fof(ax59, axiom, ![X1]:(?[X2]:pi_sharp_find_min(i(X1),X2)<=>pi_find_min(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax59)). 0.16/0.38 fof(ax60, axiom, ![X1, X2]:((contains_pq(X1,X2)&issmallestelement_pq(X1,X2))<=>pi_sharp_removemin(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax60)). 0.16/0.38 fof(ax56, axiom, ![X1, X2]:(contains_pq(X1,X2)<=>pi_sharp_remove(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax56)). 0.16/0.38 fof(ax57, axiom, ![X1, X2]:(pi_sharp_remove(i(X1),X2)<=>pi_remove(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax57)). 0.16/0.38 fof(ax40, axiom, ![X1, X2]:(~$true<=>ok(triple(X1,X2,bad))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax40)). 0.16/0.38 fof(ax22, axiom, ![X1, X2]:~(pair_in_list(create_slb,X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax22)). 0.16/0.38 fof(ax20, axiom, ![X1]:~(contains_slb(create_slb,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax20)). 0.16/0.38 fof(ax8, axiom, ![X1]:~(contains_pq(create_pq,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax8)). 0.16/0.38 fof(ax18, axiom, ~(isnonempty_slb(create_slb)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax18)). 0.16/0.38 fof(ax6, axiom, ~(isnonempty_pq(create_pq)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax6)). 0.16/0.38 fof(ax55, axiom, ![X1, X2, X3, X4, X5]:insert_pq(i(triple(X1,X2,X3)),X4)=i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax55)). 0.16/0.38 fof(ax17, axiom, ![X1, X2, X3]:insert_pq(insert_pq(X1,X3),X2)=insert_pq(insert_pq(X1,X2),X3), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax17)). 0.16/0.38 fof(main3_li12, lemma, ![X1, X2, X3, X4, X5]:i(triple(X1,X3,X4))=i(triple(X2,X3,X5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', main3_li12)). 0.16/0.38 fof(ax42, axiom, ![X1, X2, X3, X4]:triple(insert_pqp(X1,X4),insert_slb(X2,pair(X4,bottom)),X3)=insert_cpq(triple(X1,X2,X3),X4), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax42)). 0.16/0.38 fof(ax24, axiom, ![X1, X2, X3]:remove_slb(insert_slb(X1,pair(X2,X3)),X2)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax24)). 0.16/0.38 fof(ax26, axiom, ![X1, X2, X3]:lookup_slb(insert_slb(X1,pair(X2,X3)),X2)=X3, file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax26)). 0.16/0.38 fof(ax46, axiom, ![X1, X2]:triple(X1,create_slb,bad)=findmin_cpq_eff(triple(X1,create_slb,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax46)). 0.16/0.38 fof(ax19, axiom, ![X1, X2, X3]:isnonempty_slb(insert_slb(X1,pair(X2,X3))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax19)). 0.16/0.38 fof(ax50, axiom, ![X1, X2]:bottom=findmin_cpq_res(triple(X1,create_slb,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax50)). 0.16/0.38 fof(ax11, axiom, ![X1, X2]:remove_pq(insert_pq(X1,X2),X2)=X1, file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax11)). 0.16/0.38 fof(ax36, axiom, ![X1, X2]:check_cpq(triple(X1,create_slb,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax36)). 0.16/0.38 fof(ax54, axiom, ![X1, X2]:i(triple(X1,create_slb,X2))=create_pq, file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax', ax54)). 0.16/0.38 fof(ax7, axiom, ![X1, X2]:isnonempty_pq(insert_pq(X1,X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax', ax7)). 0.16/0.38 fof(ax31, axiom, ![X1]:succ_cpq(X1,X1), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax', ax31)). 0.16/0.38 fof(reflexivity, axiom, ![X1]:less_than(X1,X1), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', reflexivity)). 0.16/0.38 fof(bottom_smallest, axiom, ![X1]:less_than(bottom,X1), file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+0.ax', bottom_smallest)). 0.16/0.38 fof(ax28, axiom, ![X1]:update_slb(create_slb,X1)=create_slb, file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax', ax28)). 0.16/0.38 fof(c_0_64, plain, ![X122, X123, X124]:(create_slb=X123|~strictly_less_than(findmin_pqp_res(X122),lookup_slb(X123,findmin_pqp_res(X122)))|~contains_slb(X123,findmin_pqp_res(X122))|findmin_cpq_eff(triple(X122,X123,X124))=triple(X122,update_slb(X123,findmin_pqp_res(X122)),bad)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax48])])])). 0.16/0.38 fof(c_0_65, plain, ![X140, X141, X142]:(contains_slb(X141,findmin_pqp_res(X140))|X141=create_slb|findmin_cpq_eff(triple(X140,X141,X142))=triple(X140,update_slb(X141,findmin_pqp_res(X140)),bad)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax47])])])). 0.16/0.38 fof(c_0_66, plain, ![X134, X135]:(~succ_cpq(X134,X135)|succ_cpq(X134,removemin_cpq_eff(X135))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax35])])])). 0.16/0.38 fof(c_0_67, plain, ![X136]:removemin_cpq_eff(X136)=remove_cpq(findmin_cpq_eff(X136),findmin_cpq_res(X136)), inference(variable_rename,[status(thm)],[ax52])). 0.16/0.38 fof(c_0_68, plain, ![X9, X10]:((less_than(X10,X9)|~less_than(X9,X10)|strictly_less_than(X9,X10))&((~less_than(X10,X9)|~strictly_less_than(X9,X10))&(less_than(X9,X10)|~strictly_less_than(X9,X10)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[stricly_smaller_definition])])])])). 0.16/0.38 fof(c_0_69, plain, ![X6, X7]:(less_than(X6,X7)|less_than(X7,X6)), inference(variable_rename,[status(thm)],[totality])). 0.16/0.38 fof(c_0_70, negated_conjecture, ~(![X1, X2, X3, X4]:((phi(remove_cpq(triple(X1,X2,X3),X4))=>(pi_sharp_remove(i(triple(X1,X2,X3)),X4)&i(remove_cpq(triple(X1,X2,X3),X4))=remove_pq(i(triple(X1,X2,X3)),X4)))<=pi_remove(triple(X1,X2,X3),X4))), inference(assume_negation,[status(cth)],[co3])). 0.16/0.38 fof(c_0_71, plain, ![X46, X47, X48, X49, X50]:(((X50=X49|pair_in_list(X46,X48,X50)|~pair_in_list(insert_slb(X46,pair(X47,X49)),X48,X50))&(X48=X47|pair_in_list(X46,X48,X50)|~pair_in_list(insert_slb(X46,pair(X47,X49)),X48,X50)))&((X50!=X49|X48!=X47|pair_in_list(insert_slb(X46,pair(X47,X49)),X48,X50))&(~pair_in_list(X46,X48,X50)|pair_in_list(insert_slb(X46,pair(X47,X49)),X48,X50)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])). 0.16/0.38 fof(c_0_72, plain, ![X51, X52, X53, X54]:(((X52!=X53|contains_slb(insert_slb(X51,pair(X52,X54)),X53))&(~contains_slb(X51,X53)|contains_slb(insert_slb(X51,pair(X52,X54)),X53)))&(~contains_slb(insert_slb(X51,pair(X52,X54)),X53)|(X52=X53|contains_slb(X51,X53)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])])])). 0.16/0.38 fof(c_0_73, plain, ![X28, X29, X30]:(((X29!=X30|contains_pq(insert_pq(X28,X29),X30))&(~contains_pq(X28,X30)|contains_pq(insert_pq(X28,X29),X30)))&(~contains_pq(insert_pq(X28,X29),X30)|(X29=X30|contains_pq(X28,X30)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax9])])])). 0.16/0.38 cnf(c_0_74, plain, (create_slb=X1|findmin_cpq_eff(triple(X2,X1,X3))=triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)|~strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2)))|~contains_slb(X1,findmin_pqp_res(X2))), inference(split_conjunct,[status(thm)],[c_0_64])). 0.16/0.38 cnf(c_0_75, plain, (contains_slb(X1,findmin_pqp_res(X2))|X1=create_slb|findmin_cpq_eff(triple(X2,X1,X3))=triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)), inference(split_conjunct,[status(thm)],[c_0_65]), ['final']). 0.16/0.38 fof(c_0_76, plain, ![X93, X94, X95]:(~contains_slb(X94,findmin_pqp_res(X93))|~less_than(lookup_slb(X94,findmin_pqp_res(X93)),findmin_pqp_res(X93))|create_slb=X94|findmin_cpq_eff(triple(X93,X94,X95))=triple(X93,update_slb(X94,findmin_pqp_res(X93)),X95)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax49])])])). 0.16/0.38 fof(c_0_77, plain, ![X143, X144, X145, X146]:(~contains_slb(X144,X146)|~strictly_less_than(X146,lookup_slb(X144,X146))|remove_cpq(triple(X143,X144,X145),X146)=triple(remove_pqp(X143,X146),remove_slb(X144,X146),bad)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])])). 0.16/0.38 fof(c_0_78, plain, ![X98, X99, X100, X101]:(~contains_slb(X99,X101)|~less_than(lookup_slb(X99,X101),X101)|remove_cpq(triple(X98,X99,X100),X101)=triple(remove_pqp(X98,X101),remove_slb(X99,X101),X100)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax44])])])). 0.16/0.38 fof(c_0_79, plain, ![X66, X67, X68, X69]:(X67=X68|~contains_slb(X66,X68)|remove_slb(insert_slb(X66,pair(X67,X69)),X68)=insert_slb(remove_slb(X66,X68),pair(X67,X69))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])). 0.16/0.38 fof(c_0_80, plain, ![X70, X71, X72, X73]:(~less_than(X72,X73)|update_slb(insert_slb(X70,pair(X71,X73)),X72)=insert_slb(update_slb(X70,X72),pair(X71,X73))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])). 0.16/0.38 fof(c_0_81, plain, ![X61, X62, X63, X64]:(~strictly_less_than(X64,X63)|insert_slb(update_slb(X61,X63),pair(X62,X63))=update_slb(insert_slb(X61,pair(X62,X64)),X63)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])])). 0.16/0.38 fof(c_0_82, plain, ![X77, X78, X79, X80]:(X78=X79|~contains_slb(X77,X79)|lookup_slb(insert_slb(X77,pair(X78,X80)),X79)=lookup_slb(X77,X79)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax27])])])). 0.16/0.38 fof(c_0_83, plain, ![X105, X106, X107, X108, X109]:((~check_cpq(triple(X105,insert_slb(X106,pair(X108,X109)),X107))|check_cpq(triple(X105,X106,X107))|~less_than(X109,X108))&(~check_cpq(triple(X105,X106,X107))|check_cpq(triple(X105,insert_slb(X106,pair(X108,X109)),X107))|~less_than(X109,X108))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax37])])])])). 0.16/0.38 fof(c_0_84, lemma, ![X183, X184, X185, X186]:(~contains_pq(i(triple(X183,X184,X185)),X186)|remove_pq(i(triple(X183,X184,X185)),X186)=i(remove_cpq(triple(X183,X184,X185),X186))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[main3_li34])])])). 0.16/0.38 fof(c_0_85, plain, ![X35, X36, X37]:(~contains_pq(X35,X37)|X36=X37|insert_pq(remove_pq(X35,X37),X36)=remove_pq(insert_pq(X35,X36),X37)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax12])])). 0.16/0.38 fof(c_0_86, plain, ![X114, X115, X116, X117]:(contains_slb(X115,X117)|triple(X114,X115,bad)=remove_cpq(triple(X114,X115,X116),X117)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax43])])])). 0.16/0.38 cnf(c_0_87, plain, (succ_cpq(X1,removemin_cpq_eff(X2))|~succ_cpq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_66])). 0.16/0.38 cnf(c_0_88, plain, (removemin_cpq_eff(X1)=remove_cpq(findmin_cpq_eff(X1),findmin_cpq_res(X1))), inference(split_conjunct,[status(thm)],[c_0_67])). 0.16/0.38 fof(c_0_89, plain, ![X83, X84, X85, X86]:((~contains_cpq(triple(X83,X84,X85),X86)|contains_slb(X84,X86))&(~contains_slb(X84,X86)|contains_cpq(triple(X83,X84,X85),X86))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])])). 0.16/0.38 fof(c_0_90, plain, ![X33, X34]:(~issmallestelement_pq(X33,X34)|~contains_pq(X33,X34)|removemin_pq_eff(X33,X34)=remove_pq(X33,X34)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax15])])). 0.16/0.38 fof(c_0_91, plain, ![X89, X90, X91]:(~succ_cpq(X89,X90)|succ_cpq(X89,insert_cpq(X90,X91))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax32])])])). 0.16/0.38 fof(c_0_92, plain, ![X31, X32]:(~contains_pq(X31,X32)|~issmallestelement_pq(X31,X32)|findmin_pq_res(X31,X32)=X32), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax14])])). 0.16/0.38 fof(c_0_93, plain, ![X20, X21, X23, X24, X25]:(((contains_pq(X20,esk1_2(X20,X21))|issmallestelement_pq(X20,X21))&(~less_than(X21,esk1_2(X20,X21))|issmallestelement_pq(X20,X21)))&(~issmallestelement_pq(X23,X24)|(~contains_pq(X23,X25)|less_than(X24,X25)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10])])])])])])])). 0.16/0.38 fof(c_0_94, plain, ![X15, X16]:(~contains_pq(X15,X16)|~issmallestelement_pq(X15,X16)|X15=findmin_pq_eff(X15,X16)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 0.16/0.38 fof(c_0_95, plain, ![X39, X40]:(~issmallestelement_pq(X39,X40)|~contains_pq(X39,X40)|X40=removemin_pq_res(X39,X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])). 0.16/0.38 fof(c_0_96, plain, ![X12, X13, X14]:(~less_than(X12,X13)|~less_than(X13,X14)|less_than(X12,X14)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitivity])])). 0.16/0.38 fof(c_0_97, plain, ![X137, X138, X139]:(X138=create_slb|findmin_cpq_res(triple(X137,X138,X139))=findmin_pqp_res(X137)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax51])])])). 0.16/0.38 cnf(c_0_98, plain, (less_than(X1,X2)|strictly_less_than(X2,X1)|~less_than(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68])). 0.16/0.38 cnf(c_0_99, plain, (less_than(X1,X2)|less_than(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_69]), ['final']). 0.16/0.38 fof(c_0_100, plain, ![X102, X103, X104]:(~succ_cpq(X102,X103)|succ_cpq(X102,remove_cpq(X103,X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax33])])). 0.16/0.38 fof(c_0_101, plain, ![X129, X130, X131, X132, X133]:(~strictly_less_than(X132,X133)|~check_cpq(triple(X129,insert_slb(X130,pair(X132,X133)),X131))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])])). 0.16/0.38 fof(c_0_102, plain, ![X168, X170, X171]:((((ok(esk4_1(X168))|~phi(X168))&(check_cpq(esk4_1(X168))|~phi(X168)))&(succ_cpq(X168,esk4_1(X168))|~phi(X168)))&(~ok(X171)|~check_cpq(X171)|~succ_cpq(X170,X171)|phi(X170))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax62])])])])])])). 0.16/0.38 fof(c_0_103, plain, ![X155, X156]:(((contains_pq(X155,X156)|~pi_sharp_find_min(X155,X156))&(issmallestelement_pq(X155,X156)|~pi_sharp_find_min(X155,X156)))&(~contains_pq(X155,X156)|~issmallestelement_pq(X155,X156)|pi_sharp_find_min(X155,X156))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])). 0.16/0.38 fof(c_0_104, plain, ![X110, X111, X112]:(ok(triple(X110,X111,X112))|X112=bad), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax41])])])). 0.16/0.38 fof(c_0_105, plain, ![X87, X88]:(~succ_cpq(X87,X88)|succ_cpq(X87,findmin_cpq_eff(X88))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax34])])])). 0.16/0.38 fof(c_0_106, plain, ![X162, X163, X164]:((~pi_sharp_find_min(i(X162),X163)|pi_removemin(X162))&(~pi_removemin(X164)|pi_sharp_find_min(i(X164),esk3_1(X164)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])])])])])). 0.16/0.38 fof(c_0_107, plain, ![X151, X152, X153]:((~pi_sharp_find_min(i(X151),X152)|pi_find_min(X151))&(~pi_find_min(X153)|pi_sharp_find_min(i(X153),esk2_1(X153)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])])])])])). 0.16/0.38 fof(c_0_108, plain, ![X147, X148]:((~contains_pq(X147,X148)|~issmallestelement_pq(X147,X148)|pi_sharp_removemin(X147,X148))&((contains_pq(X147,X148)|~pi_sharp_removemin(X147,X148))&(issmallestelement_pq(X147,X148)|~pi_sharp_removemin(X147,X148)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax60])])])). 0.16/0.38 fof(c_0_109, plain, ![X166, X167]:((~contains_pq(X166,X167)|pi_sharp_remove(X166,X167))&(~pi_sharp_remove(X166,X167)|contains_pq(X166,X167))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax56])])). 0.16/0.38 fof(c_0_110, plain, ![X149, X150]:((~pi_sharp_remove(i(X149),X150)|pi_remove(X149,X150))&(~pi_remove(X149,X150)|pi_sharp_remove(i(X149),X150))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax57])])). 0.16/0.38 fof(c_0_111, negated_conjecture, (pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0)&(phi(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))&(~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)|i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))!=remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_70])])])])). 0.16/0.38 fof(c_0_112, plain, ![X96, X97]:~ok(triple(X96,X97,bad)), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])])). 0.16/0.38 fof(c_0_113, plain, ![X44, X45]:~pair_in_list(create_slb,X44,X45), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax22])])). 0.16/0.38 fof(c_0_114, plain, ![X43]:~contains_slb(create_slb,X43), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax20])])). 0.16/0.38 fof(c_0_115, plain, ![X38]:~contains_pq(create_pq,X38), inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax8])])). 0.16/0.38 fof(c_0_116, plain, ~isnonempty_slb(create_slb), inference(fof_simplification,[status(thm)],[ax18])). 0.16/0.38 fof(c_0_117, plain, ~isnonempty_pq(create_pq), inference(fof_simplification,[status(thm)],[ax6])). 0.16/0.38 fof(c_0_118, plain, ![X157, X158, X159, X160, X161]:insert_pq(i(triple(X157,X158,X159)),X160)=i(triple(X157,insert_slb(X158,pair(X160,X161)),X159)), inference(variable_rename,[status(thm)],[ax55])). 0.16/0.38 fof(c_0_119, plain, ![X17, X18, X19]:insert_pq(insert_pq(X17,X19),X18)=insert_pq(insert_pq(X17,X18),X19), inference(variable_rename,[status(thm)],[ax17])). 0.16/0.38 fof(c_0_120, lemma, ![X178, X179, X180, X181, X182]:i(triple(X178,X180,X181))=i(triple(X179,X180,X182)), inference(variable_rename,[status(thm)],[main3_li12])). 0.16/0.38 fof(c_0_121, plain, ![X118, X119, X120, X121]:triple(insert_pqp(X118,X121),insert_slb(X119,pair(X121,bottom)),X120)=insert_cpq(triple(X118,X119,X120),X121), inference(variable_rename,[status(thm)],[ax42])). 0.16/0.38 cnf(c_0_122, plain, (pair_in_list(insert_slb(X5,pair(X4,X2)),X3,X1)|X1!=X2|X3!=X4), inference(split_conjunct,[status(thm)],[c_0_71])). 0.16/0.38 fof(c_0_123, plain, ![X74, X75, X76]:remove_slb(insert_slb(X74,pair(X75,X76)),X75)=X74, inference(variable_rename,[status(thm)],[ax24])). 0.16/0.38 cnf(c_0_124, plain, (contains_slb(insert_slb(X3,pair(X1,X4)),X2)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_72])). 0.16/0.38 fof(c_0_125, plain, ![X55, X56, X57]:lookup_slb(insert_slb(X55,pair(X56,X57)),X56)=X57, inference(variable_rename,[status(thm)],[ax26])). 0.16/0.38 fof(c_0_126, plain, ![X127, X128]:triple(X127,create_slb,bad)=findmin_cpq_eff(triple(X127,create_slb,X128)), inference(variable_rename,[status(thm)],[ax46])). 0.16/0.38 cnf(c_0_127, plain, (contains_pq(insert_pq(X3,X1),X2)|X1!=X2), inference(split_conjunct,[status(thm)],[c_0_73])). 0.16/0.38 fof(c_0_128, plain, ![X58, X59, X60]:isnonempty_slb(insert_slb(X58,pair(X59,X60))), inference(variable_rename,[status(thm)],[ax19])). 0.16/0.38 fof(c_0_129, plain, ![X125, X126]:bottom=findmin_cpq_res(triple(X125,create_slb,X126)), inference(variable_rename,[status(thm)],[ax50])). 0.16/0.38 fof(c_0_130, plain, ![X41, X42]:remove_pq(insert_pq(X41,X42),X42)=X41, inference(variable_rename,[status(thm)],[ax11])). 0.16/0.38 fof(c_0_131, plain, ![X81, X82]:check_cpq(triple(X81,create_slb,X82)), inference(variable_rename,[status(thm)],[ax36])). 0.16/0.38 fof(c_0_132, plain, ![X172, X173]:i(triple(X172,create_slb,X173))=create_pq, inference(variable_rename,[status(thm)],[ax54])). 0.16/0.38 fof(c_0_133, plain, ![X26, X27]:isnonempty_pq(insert_pq(X26,X27)), inference(variable_rename,[status(thm)],[ax7])). 0.16/0.38 fof(c_0_134, plain, ![X113]:succ_cpq(X113,X113), inference(variable_rename,[status(thm)],[ax31])). 0.16/0.38 fof(c_0_135, plain, ![X11]:less_than(X11,X11), inference(variable_rename,[status(thm)],[reflexivity])). 0.16/0.38 fof(c_0_136, plain, ![X8]:less_than(bottom,X8), inference(variable_rename,[status(thm)],[bottom_smallest])). 0.16/0.38 fof(c_0_137, plain, ![X65]:update_slb(create_slb,X65)=create_slb, inference(variable_rename,[status(thm)],[ax28])). 0.16/0.38 cnf(c_0_138, plain, (findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)|create_slb=X2|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1)))), inference(csr,[status(thm)],[c_0_74, c_0_75]), ['final']). 0.16/0.38 cnf(c_0_139, plain, (create_slb=X1|findmin_cpq_eff(triple(X2,X1,X3))=triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3)|~contains_slb(X1,findmin_pqp_res(X2))|~less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2))), inference(split_conjunct,[status(thm)],[c_0_76]), ['final']). 0.16/0.38 cnf(c_0_140, plain, (remove_cpq(triple(X3,X1,X4),X2)=triple(remove_pqp(X3,X2),remove_slb(X1,X2),bad)|~contains_slb(X1,X2)|~strictly_less_than(X2,lookup_slb(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_77]), ['final']). 0.16/0.38 cnf(c_0_141, plain, (remove_cpq(triple(X3,X1,X4),X2)=triple(remove_pqp(X3,X2),remove_slb(X1,X2),X4)|~contains_slb(X1,X2)|~less_than(lookup_slb(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_78]), ['final']). 0.16/0.38 cnf(c_0_142, plain, (X1=X2|remove_slb(insert_slb(X3,pair(X1,X4)),X2)=insert_slb(remove_slb(X3,X2),pair(X1,X4))|~contains_slb(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_79]), ['final']). 0.16/0.38 cnf(c_0_143, plain, (update_slb(insert_slb(X3,pair(X4,X2)),X1)=insert_slb(update_slb(X3,X1),pair(X4,X2))|~less_than(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_80]), ['final']). 0.16/0.38 cnf(c_0_144, plain, (insert_slb(update_slb(X3,X2),pair(X4,X2))=update_slb(insert_slb(X3,pair(X4,X1)),X2)|~strictly_less_than(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_81]), ['final']). 0.16/0.38 cnf(c_0_145, plain, (X1=X2|lookup_slb(insert_slb(X3,pair(X1,X4)),X2)=lookup_slb(X3,X2)|~contains_slb(X3,X2)), inference(split_conjunct,[status(thm)],[c_0_82]), ['final']). 0.16/0.38 cnf(c_0_146, plain, (check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))|~check_cpq(triple(X1,X2,X3))|~less_than(X5,X4)), inference(split_conjunct,[status(thm)],[c_0_83]), ['final']). 0.16/0.38 cnf(c_0_147, plain, (pair_in_list(insert_slb(X1,pair(X4,X5)),X2,X3)|~pair_in_list(X1,X2,X3)), inference(split_conjunct,[status(thm)],[c_0_71]), ['final']). 0.16/0.38 cnf(c_0_148, lemma, (remove_pq(i(triple(X1,X2,X3)),X4)=i(remove_cpq(triple(X1,X2,X3),X4))|~contains_pq(i(triple(X1,X2,X3)),X4)), inference(split_conjunct,[status(thm)],[c_0_84]), ['final']). 0.16/0.38 cnf(c_0_149, plain, (X3=X2|insert_pq(remove_pq(X1,X2),X3)=remove_pq(insert_pq(X1,X3),X2)|~contains_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_85]), ['final']). 0.16/0.38 cnf(c_0_150, plain, (check_cpq(triple(X1,X2,X5))|~check_cpq(triple(X1,insert_slb(X2,pair(X3,X4)),X5))|~less_than(X4,X3)), inference(split_conjunct,[status(thm)],[c_0_83]), ['final']). 0.16/0.38 cnf(c_0_151, plain, (X1=X2|pair_in_list(X3,X1,X4)|~pair_in_list(insert_slb(X3,pair(X2,X5)),X1,X4)), inference(split_conjunct,[status(thm)],[c_0_71]), ['final']). 0.16/0.38 cnf(c_0_152, plain, (X1=X2|pair_in_list(X3,X4,X1)|~pair_in_list(insert_slb(X3,pair(X5,X2)),X4,X1)), inference(split_conjunct,[status(thm)],[c_0_71]), ['final']). 0.16/0.38 cnf(c_0_153, plain, (contains_slb(insert_slb(X1,pair(X3,X4)),X2)|~contains_slb(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_72]), ['final']). 0.16/0.38 cnf(c_0_154, plain, (contains_slb(X1,X2)|triple(X3,X1,bad)=remove_cpq(triple(X3,X1,X4),X2)), inference(split_conjunct,[status(thm)],[c_0_86]), ['final']). 0.16/0.38 cnf(c_0_155, plain, (succ_cpq(X1,remove_cpq(findmin_cpq_eff(X2),findmin_cpq_res(X2)))|~succ_cpq(X1,X2)), inference(rw,[status(thm)],[c_0_87, c_0_88]), ['final']). 0.16/0.38 cnf(c_0_156, plain, (X2=X4|contains_slb(X1,X4)|~contains_slb(insert_slb(X1,pair(X2,X3)),X4)), inference(split_conjunct,[status(thm)],[c_0_72]), ['final']). 0.16/0.38 cnf(c_0_157, plain, (contains_cpq(triple(X3,X1,X4),X2)|~contains_slb(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_89]), ['final']). 0.16/0.38 cnf(c_0_158, plain, (X2=X3|contains_pq(X1,X3)|~contains_pq(insert_pq(X1,X2),X3)), inference(split_conjunct,[status(thm)],[c_0_73]), ['final']). 0.16/0.38 cnf(c_0_159, plain, (removemin_pq_eff(X1,X2)=remove_pq(X1,X2)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_90]), ['final']). 0.16/0.38 cnf(c_0_160, plain, (contains_pq(insert_pq(X1,X3),X2)|~contains_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_73]), ['final']). 0.16/0.38 cnf(c_0_161, plain, (succ_cpq(X1,insert_cpq(X2,X3))|~succ_cpq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_91]), ['final']). 0.16/0.38 cnf(c_0_162, plain, (findmin_pq_res(X1,X2)=X2|~contains_pq(X1,X2)|~issmallestelement_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_92]), ['final']). 0.16/0.38 cnf(c_0_163, plain, (contains_pq(X1,esk1_2(X1,X2))|issmallestelement_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_93]), ['final']). 0.16/0.38 cnf(c_0_164, plain, (X1=findmin_pq_eff(X1,X2)|~contains_pq(X1,X2)|~issmallestelement_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_94]), ['final']). 0.16/0.38 cnf(c_0_165, plain, (X2=removemin_pq_res(X1,X2)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_95]), ['final']). 0.16/0.38 cnf(c_0_166, plain, (less_than(X1,X3)|~less_than(X1,X2)|~less_than(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_96]), ['final']). 0.16/0.38 cnf(c_0_167, plain, (less_than(X2,X3)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X3)), inference(split_conjunct,[status(thm)],[c_0_93]), ['final']). 0.16/0.38 cnf(c_0_168, plain, (X1=create_slb|findmin_cpq_res(triple(X2,X1,X3))=findmin_pqp_res(X2)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 0.16/0.38 cnf(c_0_169, plain, (strictly_less_than(X1,X2)|less_than(X2,X1)), inference(csr,[status(thm)],[c_0_98, c_0_99]), ['final']). 0.16/0.38 cnf(c_0_170, plain, (succ_cpq(X1,remove_cpq(X2,X3))|~succ_cpq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 0.16/0.38 cnf(c_0_171, plain, (~strictly_less_than(X1,X2)|~check_cpq(triple(X3,insert_slb(X4,pair(X1,X2)),X5))), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 0.16/0.38 cnf(c_0_172, plain, (phi(X2)|~ok(X1)|~check_cpq(X1)|~succ_cpq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 0.16/0.38 cnf(c_0_173, plain, (contains_slb(X2,X4)|~contains_cpq(triple(X1,X2,X3),X4)), inference(split_conjunct,[status(thm)],[c_0_89]), ['final']). 0.16/0.38 cnf(c_0_174, plain, (pi_sharp_find_min(X1,X2)|~contains_pq(X1,X2)|~issmallestelement_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_103]), ['final']). 0.16/0.38 cnf(c_0_175, plain, (ok(triple(X1,X2,X3))|X3=bad), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 0.16/0.38 cnf(c_0_176, plain, (succ_cpq(X1,findmin_cpq_eff(X2))|~succ_cpq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_105]), ['final']). 0.16/0.38 cnf(c_0_177, plain, (pi_sharp_find_min(i(X1),esk3_1(X1))|~pi_removemin(X1)), inference(split_conjunct,[status(thm)],[c_0_106]), ['final']). 0.16/0.38 cnf(c_0_178, plain, (pi_sharp_find_min(i(X1),esk2_1(X1))|~pi_find_min(X1)), inference(split_conjunct,[status(thm)],[c_0_107]), ['final']). 0.16/0.38 cnf(c_0_179, plain, (pi_sharp_removemin(X1,X2)|~contains_pq(X1,X2)|~issmallestelement_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_108]), ['final']). 0.16/0.38 cnf(c_0_180, plain, (issmallestelement_pq(X2,X1)|~less_than(X1,esk1_2(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_93]), ['final']). 0.16/0.38 cnf(c_0_181, plain, (issmallestelement_pq(X1,X2)|~pi_sharp_find_min(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_103]), ['final']). 0.16/0.38 cnf(c_0_182, plain, (issmallestelement_pq(X1,X2)|~pi_sharp_removemin(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_108]), ['final']). 0.16/0.38 cnf(c_0_183, plain, (succ_cpq(X1,esk4_1(X1))|~phi(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 0.16/0.38 cnf(c_0_184, plain, (pi_sharp_remove(X1,X2)|~contains_pq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_109]), ['final']). 0.16/0.38 cnf(c_0_185, plain, (pi_removemin(X1)|~pi_sharp_find_min(i(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_106]), ['final']). 0.16/0.38 cnf(c_0_186, plain, (pi_find_min(X1)|~pi_sharp_find_min(i(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_107]), ['final']). 0.16/0.38 cnf(c_0_187, plain, (ok(esk4_1(X1))|~phi(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 0.16/0.38 cnf(c_0_188, plain, (contains_pq(X1,X2)|~pi_sharp_find_min(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_103]), ['final']). 0.16/0.38 cnf(c_0_189, plain, (contains_pq(X1,X2)|~pi_sharp_remove(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_109]), ['final']). 0.16/0.38 cnf(c_0_190, plain, (contains_pq(X1,X2)|~pi_sharp_removemin(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_108]), ['final']). 0.16/0.38 cnf(c_0_191, plain, (less_than(X1,X2)|~strictly_less_than(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_68]), ['final']). 0.16/0.38 cnf(c_0_192, plain, (check_cpq(esk4_1(X1))|~phi(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 0.16/0.38 cnf(c_0_193, plain, (pi_sharp_remove(i(X1),X2)|~pi_remove(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_110]), ['final']). 0.16/0.38 cnf(c_0_194, plain, (pi_remove(X1,X2)|~pi_sharp_remove(i(X1),X2)), inference(split_conjunct,[status(thm)],[c_0_110]), ['final']). 0.16/0.38 cnf(c_0_195, plain, (~less_than(X1,X2)|~strictly_less_than(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_68]), ['final']). 0.16/0.38 cnf(c_0_196, negated_conjecture, (~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)|i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))!=remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)), inference(split_conjunct,[status(thm)],[c_0_111]), ['final']). 0.16/0.38 cnf(c_0_197, plain, (~ok(triple(X1,X2,bad))), inference(split_conjunct,[status(thm)],[c_0_112]), ['final']). 0.16/0.38 cnf(c_0_198, plain, (~pair_in_list(create_slb,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_113]), ['final']). 0.16/0.38 cnf(c_0_199, plain, (~contains_slb(create_slb,X1)), inference(split_conjunct,[status(thm)],[c_0_114]), ['final']). 0.16/0.38 cnf(c_0_200, plain, (~contains_pq(create_pq,X1)), inference(split_conjunct,[status(thm)],[c_0_115]), ['final']). 0.16/0.38 cnf(c_0_201, plain, (~isnonempty_slb(create_slb)), inference(split_conjunct,[status(thm)],[c_0_116]), ['final']). 0.16/0.38 cnf(c_0_202, plain, (~isnonempty_pq(create_pq)), inference(split_conjunct,[status(thm)],[c_0_117]), ['final']). 0.16/0.38 cnf(c_0_203, plain, (insert_pq(i(triple(X1,X2,X3)),X4)=i(triple(X1,insert_slb(X2,pair(X4,X5)),X3))), inference(split_conjunct,[status(thm)],[c_0_118]), ['final']). 0.16/0.38 cnf(c_0_204, plain, (insert_pq(insert_pq(X1,X2),X3)=insert_pq(insert_pq(X1,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_119]), ['final']). 0.16/0.38 cnf(c_0_205, lemma, (i(triple(X1,X2,X3))=i(triple(X4,X2,X5))), inference(split_conjunct,[status(thm)],[c_0_120]), ['final']). 0.16/0.38 cnf(c_0_206, plain, (triple(insert_pqp(X1,X2),insert_slb(X3,pair(X2,bottom)),X4)=insert_cpq(triple(X1,X3,X4),X2)), inference(split_conjunct,[status(thm)],[c_0_121]), ['final']). 0.16/0.38 cnf(c_0_207, plain, (pair_in_list(insert_slb(X1,pair(X2,X3)),X2,X3)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_122])]), ['final']). 0.16/0.38 cnf(c_0_208, plain, (remove_slb(insert_slb(X1,pair(X2,X3)),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_123]), ['final']). 0.16/0.38 cnf(c_0_209, plain, (contains_slb(insert_slb(X1,pair(X2,X3)),X2)), inference(er,[status(thm)],[c_0_124]), ['final']). 0.16/0.38 cnf(c_0_210, plain, (lookup_slb(insert_slb(X1,pair(X2,X3)),X2)=X3), inference(split_conjunct,[status(thm)],[c_0_125]), ['final']). 0.16/0.38 cnf(c_0_211, plain, (triple(X1,create_slb,bad)=findmin_cpq_eff(triple(X1,create_slb,X2))), inference(split_conjunct,[status(thm)],[c_0_126]), ['final']). 0.16/0.38 cnf(c_0_212, plain, (contains_pq(insert_pq(X1,X2),X2)), inference(er,[status(thm)],[c_0_127]), ['final']). 0.16/0.38 cnf(c_0_213, plain, (isnonempty_slb(insert_slb(X1,pair(X2,X3)))), inference(split_conjunct,[status(thm)],[c_0_128]), ['final']). 0.16/0.38 cnf(c_0_214, plain, (bottom=findmin_cpq_res(triple(X1,create_slb,X2))), inference(split_conjunct,[status(thm)],[c_0_129]), ['final']). 0.16/0.38 cnf(c_0_215, plain, (remove_pq(insert_pq(X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[c_0_130]), ['final']). 0.16/0.38 cnf(c_0_216, plain, (check_cpq(triple(X1,create_slb,X2))), inference(split_conjunct,[status(thm)],[c_0_131]), ['final']). 0.16/0.38 cnf(c_0_217, plain, (i(triple(X1,create_slb,X2))=create_pq), inference(split_conjunct,[status(thm)],[c_0_132]), ['final']). 0.16/0.38 cnf(c_0_218, plain, (isnonempty_pq(insert_pq(X1,X2))), inference(split_conjunct,[status(thm)],[c_0_133]), ['final']). 0.16/0.38 cnf(c_0_219, plain, (succ_cpq(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_134]), ['final']). 0.16/0.38 cnf(c_0_220, plain, (less_than(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_135]), ['final']). 0.16/0.38 cnf(c_0_221, plain, (less_than(bottom,X1)), inference(split_conjunct,[status(thm)],[c_0_136]), ['final']). 0.16/0.38 cnf(c_0_222, plain, (update_slb(create_slb,X1)=create_slb), inference(split_conjunct,[status(thm)],[c_0_137]), ['final']). 0.16/0.38 cnf(c_0_223, negated_conjecture, (phi(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))), inference(split_conjunct,[status(thm)],[c_0_111]), ['final']). 0.16/0.38 cnf(c_0_224, negated_conjecture, (pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0)), inference(split_conjunct,[status(thm)],[c_0_111]), ['final']). 0.16/0.38 0.16/0.38 # End clausification derivation 0.16/0.38 # Begin listing active clauses obtained from FOF to CNF conversion 0.16/0.38 cnf(i_0_89, negated_conjecture, (pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0))). 0.16/0.38 cnf(i_0_88, negated_conjecture, (phi(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)))). 0.16/0.38 cnf(i_0_36, plain, (update_slb(create_slb,X1)=create_slb)). 0.16/0.38 cnf(i_0_2, plain, (less_than(bottom,X1))). 0.16/0.38 cnf(i_0_6, plain, (less_than(X1,X1))). 0.16/0.38 cnf(i_0_55, plain, (succ_cpq(X1,X1))). 0.16/0.38 cnf(i_0_14, plain, (isnonempty_pq(insert_pq(X1,X2)))). 0.16/0.38 cnf(i_0_86, plain, (i(triple(X1,create_slb,X2))=create_pq)). 0.16/0.38 cnf(i_0_42, plain, (check_cpq(triple(X1,create_slb,X2)))). 0.16/0.38 cnf(i_0_23, plain, (remove_pq(insert_pq(X1,X2),X2)=X1)). 0.16/0.38 cnf(i_0_59, plain, (findmin_cpq_res(triple(X1,create_slb,X2))=bottom)). 0.16/0.38 cnf(i_0_34, plain, (isnonempty_slb(insert_slb(X1,pair(X2,X3))))). 0.16/0.38 cnf(i_0_17, plain, (contains_pq(insert_pq(X1,X2),X2))). 0.16/0.38 cnf(i_0_60, plain, (findmin_cpq_eff(triple(X1,create_slb,X2))=triple(X1,create_slb,bad))). 0.16/0.38 cnf(i_0_33, plain, (lookup_slb(insert_slb(X1,pair(X2,X3)),X2)=X3)). 0.16/0.38 cnf(i_0_32, plain, (contains_slb(insert_slb(X1,pair(X2,X3)),X2))). 0.16/0.38 cnf(i_0_40, plain, (remove_slb(insert_slb(X1,pair(X2,X3)),X2)=X1)). 0.16/0.38 cnf(i_0_27, plain, (pair_in_list(insert_slb(X1,pair(X2,X3)),X2,X3))). 0.16/0.38 cnf(i_0_57, plain, (triple(insert_pqp(X1,X2),insert_slb(X3,pair(X2,bottom)),X4)=insert_cpq(triple(X1,X3,X4),X2))). 0.16/0.38 cnf(i_0_90, lemma, (i(triple(X1,X2,X3))=i(triple(X4,X2,X5)))). 0.16/0.38 cnf(i_0_9, plain, (insert_pq(insert_pq(X1,X2),X3)=insert_pq(insert_pq(X1,X3),X2))). 0.16/0.38 cnf(i_0_77, plain, (insert_pq(i(triple(X1,X2,X3)),X4)=i(triple(X1,insert_slb(X2,pair(X4,X5)),X3)))). 0.16/0.38 cnf(i_0_10, plain, (~isnonempty_pq(create_pq))). 0.16/0.38 cnf(i_0_38, plain, (~isnonempty_slb(create_slb))). 0.16/0.38 cnf(i_0_21, plain, (~contains_pq(create_pq,X1))). 0.16/0.38 cnf(i_0_24, plain, (~contains_slb(create_slb,X1))). 0.16/0.38 cnf(i_0_25, plain, (~pair_in_list(create_slb,X1,X2))). 0.16/0.38 cnf(i_0_49, plain, (~ok(triple(X1,X2,bad)))). 0.16/0.38 cnf(i_0_87, negated_conjecture, (remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)!=i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))|~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 cnf(i_0_4, plain, (~strictly_less_than(X1,X2)|~less_than(X2,X1))). 0.16/0.38 cnf(i_0_71, plain, (pi_remove(X1,X2)|~pi_sharp_remove(i(X1),X2))). 0.16/0.38 cnf(i_0_70, plain, (pi_sharp_remove(i(X1),X2)|~pi_remove(X1,X2))). 0.16/0.38 cnf(i_0_84, plain, (check_cpq(esk4_1(X1))|~phi(X1))). 0.16/0.38 cnf(i_0_3, plain, (less_than(X1,X2)|~strictly_less_than(X1,X2))). 0.16/0.38 cnf(i_0_68, plain, (contains_pq(X1,X2)|~pi_sharp_removemin(X1,X2))). 0.16/0.38 cnf(i_0_80, plain, (contains_pq(X1,X2)|~pi_sharp_remove(X1,X2))). 0.16/0.38 cnf(i_0_76, plain, (contains_pq(X1,X2)|~pi_sharp_find_min(X1,X2))). 0.16/0.38 cnf(i_0_85, plain, (ok(esk4_1(X1))|~phi(X1))). 0.16/0.38 cnf(i_0_73, plain, (pi_find_min(X1)|~pi_sharp_find_min(i(X1),X2))). 0.16/0.38 cnf(i_0_79, plain, (pi_removemin(X1)|~pi_sharp_find_min(i(X1),X2))). 0.16/0.38 cnf(i_0_81, plain, (pi_sharp_remove(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_83, plain, (succ_cpq(X1,esk4_1(X1))|~phi(X1))). 0.16/0.38 cnf(i_0_67, plain, (issmallestelement_pq(X1,X2)|~pi_sharp_removemin(X1,X2))). 0.16/0.38 cnf(i_0_75, plain, (issmallestelement_pq(X1,X2)|~pi_sharp_find_min(X1,X2))). 0.16/0.38 cnf(i_0_12, plain, (issmallestelement_pq(X1,X2)|~less_than(X2,esk1_2(X1,X2)))). 0.16/0.38 cnf(i_0_69, plain, (pi_sharp_removemin(X1,X2)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_72, plain, (pi_sharp_find_min(i(X1),esk2_1(X1))|~pi_find_min(X1))). 0.16/0.38 cnf(i_0_78, plain, (pi_sharp_find_min(i(X1),esk3_1(X1))|~pi_removemin(X1))). 0.16/0.38 cnf(i_0_45, plain, (succ_cpq(X1,findmin_cpq_eff(X2))|~succ_cpq(X1,X2))). 0.16/0.38 cnf(i_0_1, plain, (less_than(X1,X2)|less_than(X2,X1))). 0.16/0.38 cnf(i_0_54, plain, (X1=bad|ok(triple(X2,X3,X1)))). 0.16/0.38 cnf(i_0_74, plain, (pi_sharp_find_min(X1,X2)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_44, plain, (contains_slb(X1,X2)|~contains_cpq(triple(X3,X1,X4),X2))). 0.16/0.38 cnf(i_0_82, plain, (phi(X1)|~ok(X2)|~succ_cpq(X1,X2)|~check_cpq(X2))). 0.16/0.38 cnf(i_0_61, plain, (~check_cpq(triple(X1,insert_slb(X2,pair(X3,X4)),X5))|~strictly_less_than(X3,X4))). 0.16/0.38 cnf(i_0_51, plain, (succ_cpq(X1,remove_cpq(X2,X3))|~succ_cpq(X1,X2))). 0.16/0.38 cnf(i_0_5, plain, (strictly_less_than(X1,X2)|less_than(X2,X1))). 0.16/0.38 cnf(i_0_64, plain, (findmin_cpq_res(triple(X1,X2,X3))=findmin_pqp_res(X1)|X2=create_slb)). 0.16/0.38 cnf(i_0_11, plain, (less_than(X1,X2)|~issmallestelement_pq(X3,X1)|~contains_pq(X3,X2))). 0.16/0.38 cnf(i_0_7, plain, (less_than(X1,X2)|~less_than(X3,X2)|~less_than(X1,X3))). 0.16/0.38 cnf(i_0_22, plain, (removemin_pq_res(X1,X2)=X2|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_8, plain, (findmin_pq_eff(X1,X2)=X1|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_13, plain, (issmallestelement_pq(X1,X2)|contains_pq(X1,esk1_2(X1,X2)))). 0.16/0.38 cnf(i_0_18, plain, (findmin_pq_res(X1,X2)=X2|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_46, plain, (succ_cpq(X1,insert_cpq(X2,X3))|~succ_cpq(X1,X2))). 0.16/0.38 cnf(i_0_16, plain, (contains_pq(insert_pq(X1,X2),X3)|~contains_pq(X1,X3))). 0.16/0.38 cnf(i_0_19, plain, (removemin_pq_eff(X1,X2)=remove_pq(X1,X2)|~issmallestelement_pq(X1,X2)|~contains_pq(X1,X2))). 0.16/0.38 cnf(i_0_15, plain, (X1=X2|contains_pq(X3,X2)|~contains_pq(insert_pq(X3,X1),X2))). 0.16/0.38 cnf(i_0_43, plain, (contains_cpq(triple(X1,X2,X3),X4)|~contains_slb(X2,X4))). 0.16/0.38 cnf(i_0_30, plain, (X1=X2|contains_slb(X3,X2)|~contains_slb(insert_slb(X3,pair(X1,X4)),X2))). 0.16/0.38 cnf(i_0_62, plain, (succ_cpq(X1,remove_cpq(findmin_cpq_eff(X2),findmin_cpq_res(X2)))|~succ_cpq(X1,X2))). 0.16/0.38 cnf(i_0_56, plain, (remove_cpq(triple(X1,X2,X3),X4)=triple(X1,X2,bad)|contains_slb(X2,X4))). 0.16/0.38 cnf(i_0_31, plain, (contains_slb(insert_slb(X1,pair(X2,X3)),X4)|~contains_slb(X1,X4))). 0.16/0.38 cnf(i_0_29, plain, (X1=X2|pair_in_list(X3,X4,X1)|~pair_in_list(insert_slb(X3,pair(X5,X2)),X4,X1))). 0.16/0.38 cnf(i_0_28, plain, (X1=X2|pair_in_list(X3,X1,X4)|~pair_in_list(insert_slb(X3,pair(X2,X5)),X1,X4))). 0.16/0.38 cnf(i_0_53, plain, (check_cpq(triple(X1,X2,X3))|~check_cpq(triple(X1,insert_slb(X2,pair(X4,X5)),X3))|~less_than(X5,X4))). 0.16/0.38 cnf(i_0_20, plain, (remove_pq(insert_pq(X1,X2),X3)=insert_pq(remove_pq(X1,X3),X2)|X3=X2|~contains_pq(X1,X3))). 0.16/0.38 cnf(i_0_91, lemma, (remove_pq(i(triple(X1,X2,X3)),X4)=i(remove_cpq(triple(X1,X2,X3),X4))|~contains_pq(i(triple(X1,X2,X3)),X4))). 0.16/0.38 cnf(i_0_26, plain, (pair_in_list(insert_slb(X1,pair(X2,X3)),X4,X5)|~pair_in_list(X1,X4,X5))). 0.16/0.38 cnf(i_0_52, plain, (check_cpq(triple(X1,insert_slb(X2,pair(X3,X4)),X5))|~check_cpq(triple(X1,X2,X5))|~less_than(X4,X3))). 0.16/0.38 cnf(i_0_41, plain, (lookup_slb(insert_slb(X1,pair(X2,X3)),X4)=lookup_slb(X1,X4)|X2=X4|~contains_slb(X1,X4))). 0.16/0.38 cnf(i_0_35, plain, (insert_slb(update_slb(X1,X2),pair(X3,X2))=update_slb(insert_slb(X1,pair(X3,X4)),X2)|~strictly_less_than(X4,X2))). 0.16/0.38 cnf(i_0_39, plain, (update_slb(insert_slb(X1,pair(X2,X3)),X4)=insert_slb(update_slb(X1,X4),pair(X2,X3))|~less_than(X4,X3))). 0.16/0.38 cnf(i_0_37, plain, (remove_slb(insert_slb(X1,pair(X2,X3)),X4)=insert_slb(remove_slb(X1,X4),pair(X2,X3))|X2=X4|~contains_slb(X1,X4))). 0.16/0.38 cnf(i_0_50, plain, (triple(remove_pqp(X1,X2),remove_slb(X3,X2),X4)=remove_cpq(triple(X1,X3,X4),X2)|~contains_slb(X3,X2)|~less_than(lookup_slb(X3,X2),X2))). 0.16/0.38 cnf(i_0_65, plain, (findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)|X2=create_slb|contains_slb(X2,findmin_pqp_res(X1)))). 0.16/0.38 cnf(i_0_66, plain, (remove_cpq(triple(X1,X2,X3),X4)=triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)|~contains_slb(X2,X4)|~strictly_less_than(X4,lookup_slb(X2,X4)))). 0.16/0.38 cnf(i_0_48, plain, (triple(X1,update_slb(X2,findmin_pqp_res(X1)),X3)=findmin_cpq_eff(triple(X1,X2,X3))|create_slb=X2|~contains_slb(X2,findmin_pqp_res(X1))|~less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)))). 0.16/0.38 cnf(i_0_58, plain, (findmin_cpq_eff(triple(X1,X2,X3))=triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)|create_slb=X2|~strictly_less_than(findmin_pqp_res(X1),lookup_slb(X2,findmin_pqp_res(X1))))). 0.16/0.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 0.16/0.38 # Begin printing tableau 0.16/0.38 # 1,0,0,0 c s 0.16/0.38 cnf(i_0_96, plain, (remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)!=i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0)))). 0.16/0.38 # 0,2,87,0 0.16/0.38 cnf(i_0_87, watchlist, (remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)!=i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))|~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 0.16/0.38 # 2,0,0,1 x c 0.16/0.38 cnf(i_0_249, plain, (pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 # 1,2,70,0 c 0.16/0.38 cnf(i_0_97, plain, (~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 # 0,2,87,0 0.16/0.38 cnf(i_0_87, watchlist, (remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)!=i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))|~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 0.16/0.38 # 2,0,0,0 c 0.16/0.38 cnf(i_0_250, plain, (~pi_remove(triple(esk5_0,esk6_0,esk7_0),esk8_0))). 0.16/0.38 # 1,2,70,0 c 0.16/0.38 cnf(i_0_97, plain, (~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 # 0,2,87,0 0.16/0.38 cnf(i_0_87, watchlist, (remove_pq(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0)!=i(remove_cpq(triple(esk5_0,esk6_0,esk7_0),esk8_0))|~pi_sharp_remove(i(triple(esk5_0,esk6_0,esk7_0)),esk8_0))). 0.16/0.38 0.16/0.38 # End printing tableau 0.16/0.38 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.38 # Branches closed with saturation will be marked with an "s" 0.16/0.38 # Proof search success! 0.16/0.38 # Exiting... 0.16/0.38 EOF