0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : eprover --auto -s --tableau=1 [--tableau-equality=1] --tableau-depth=10 %s 0.12/0.34 % Computer : n004.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Thu Jul 2 07:45:43 EDT 2020 0.12/0.34 % CPUTime : 0.12/0.35 % Running in FOF/CNF-non-UEQ mode 0.20/0.41 # No SInE strategy applied 0.20/0.41 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S4d 0.20/0.41 # and selection function SelectCQIPrecWNTNp. 0.20/0.41 # 0.20/0.41 # Presaturation interreduction done 0.20/0.41 # Number of axioms: 197 Number of unprocessed: 191 0.20/0.41 # Tableaux proof search. 0.20/0.41 # 191 beginning clauses after preprocessing and clausification 0.20/0.41 # Creating start rules for all conjectures. 0.20/0.41 # 22 unit axioms, 7 start rules, and 168 other extension candidates. 0.20/0.41 ######## Beginning tableaux proof search with 7 start rule applications. 3.35/3.53 # Beginning deep saturation check 3.35/3.53 # Saturate returned empty clause 0x481b0ad0. 3.35/3.53 # Success 3.35/3.53 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.35/3.53 # SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.35/3.53 # Begin clausification derivation 3.35/3.53 fof(co1, conjecture, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(X2!=X4|~(segmentP(X4,X3))|strictorderedP(X1)|(neq(X4,nil)&~(singletonP(X3)))|X1!=X3|~(ssList(X4)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)). 3.35/3.53 fof(ax9, axiom, ![X1]:((![X2]:(ssItem(X2)=>![X3]:(![X4]:(![X5]:(ssList(X5)=>![X6]:(((leq(X3,X2)|leq(X2,X3))<=app(app(X4,cons(X2,X5)),cons(X3,X6))=X1)<=ssList(X6)))<=ssList(X4))<=ssItem(X3)))<=>totalorderP(X1))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax9)). 3.35/3.53 fof(ax10, axiom, ![X1]:((strictorderP(X1)<=>![X2]:(![X3]:(![X4]:(ssList(X4)=>![X5]:(ssList(X5)=>![X6]:((X1=app(app(X4,cons(X2,X5)),cons(X3,X6))=>(lt(X3,X2)|lt(X2,X3)))<=ssList(X6))))<=ssItem(X3))<=ssItem(X2)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax10)). 3.35/3.53 fof(ax8, axiom, ![X1]:(ssList(X1)=>(cyclefreeP(X1)<=>![X2]:(ssItem(X2)=>![X3]:(![X4]:(![X5]:(ssList(X5)=>![X6]:(ssList(X6)=>(app(app(X4,cons(X2,X5)),cons(X3,X6))=X1=>~((leq(X2,X3)&leq(X3,X2))))))<=ssList(X4))<=ssItem(X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax8)). 3.35/3.53 fof(ax12, axiom, ![X1]:((![X2]:(![X3]:(ssItem(X3)=>![X4]:(![X5]:(![X6]:((lt(X2,X3)<=app(app(X4,cons(X2,X5)),cons(X3,X6))=X1)<=ssList(X6))<=ssList(X5))<=ssList(X4)))<=ssItem(X2))<=>strictorderedP(X1))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax12)). 3.35/3.53 fof(ax11, axiom, ![X1]:((![X2]:(![X3]:(![X4]:(![X5]:(ssList(X5)=>![X6]:(ssList(X6)=>(X1=app(app(X4,cons(X2,X5)),cons(X3,X6))=>leq(X2,X3))))<=ssList(X4))<=ssItem(X3))<=ssItem(X2))<=>totalorderedP(X1))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax11)). 3.35/3.53 fof(ax13, axiom, ![X1]:(ssList(X1)=>(duplicatefreeP(X1)<=>![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(ssList(X6)=>(X3!=X2<=app(app(X4,cons(X2,X5)),cons(X3,X6))=X1))<=ssList(X5))<=ssList(X4))<=ssItem(X3))<=ssItem(X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax13)). 3.35/3.53 fof(ax44, axiom, ![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>![X3]:(![X4]:((frontsegP(cons(X1,X3),cons(X2,X4))<=>(X1=X2&frontsegP(X3,X4)))<=ssList(X4))<=ssList(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax44)). 3.35/3.53 fof(ax14, axiom, ![X1]:(ssList(X1)=>(![X2]:(ssItem(X2)=>![X3]:(![X4]:(ssList(X4)=>![X5]:((X3=X2<=X1=app(X4,cons(X2,cons(X3,X5))))<=ssList(X5)))<=ssItem(X3)))<=>equalelemsP(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax14)). 3.35/3.53 fof(ax3, axiom, ![X1]:(![X2]:((memberP(X1,X2)<=>?[X3]:(?[X4]:(X1=app(X3,cons(X2,X4))&ssList(X4))&ssList(X3)))<=ssItem(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax3)). 3.35/3.53 fof(ax7, axiom, ![X1]:(![X2]:(ssList(X2)=>(?[X3]:(?[X4]:(ssList(X4)&app(app(X3,X2),X4)=X1)&ssList(X3))<=>segmentP(X1,X2)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax7)). 3.35/3.53 fof(ax37, axiom, ![X1]:(![X2]:(ssItem(X2)=>![X3]:(ssList(X3)=>((X1=X2|memberP(X3,X1))<=>memberP(cons(X2,X3),X1))))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax37)). 3.35/3.53 fof(ax6, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(?[X3]:(ssList(X3)&app(X3,X2)=X1)<=>rearsegP(X1,X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax6)). 3.35/3.53 fof(ax26, axiom, ![X1]:(![X2]:(ssList(app(X1,X2))<=ssList(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax26)). 3.35/3.53 fof(ax5, axiom, ![X1]:(ssList(X1)=>![X2]:((?[X3]:(X1=app(X2,X3)&ssList(X3))<=>frontsegP(X1,X2))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax5)). 3.35/3.53 fof(ax4, axiom, ![X1]:(ssList(X1)=>(?[X2]:(X1=cons(X2,nil)&ssItem(X2))<=>singletonP(X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax4)). 3.35/3.53 fof(ax1, axiom, ![X1]:(![X2]:(ssItem(X2)=>(X1!=X2<=>neq(X1,X2)))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax1)). 3.35/3.53 fof(ax15, axiom, ![X1]:(ssList(X1)=>![X2]:((X2!=X1<=>neq(X1,X2))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)). 3.35/3.53 fof(ax83, axiom, ![X1]:(![X2]:(ssList(X2)=>(nil=app(X1,X2)<=>(X1=nil&nil=X2)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax83)). 3.35/3.53 fof(ax52, axiom, ![X1]:((rearsegP(nil,X1)<=>nil=X1)<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax52)). 3.35/3.53 fof(ax46, axiom, ![X1]:((X1=nil<=>frontsegP(nil,X1))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax46)). 3.35/3.53 fof(ax58, axiom, ![X1]:(ssList(X1)=>(segmentP(nil,X1)<=>nil=X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax58)). 3.35/3.53 fof(ax27, axiom, ![X1]:(![X2]:(![X3]:(cons(X3,app(X2,X1))=app(cons(X3,X2),X1)<=ssItem(X3))<=ssList(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax27)). 3.35/3.53 fof(ax36, axiom, ![X1]:(ssItem(X1)=>![X2]:(![X3]:(ssList(X3)=>((memberP(X3,X1)|memberP(X2,X1))<=>memberP(app(X2,X3),X1)))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax36)). 3.35/3.53 fof(ax56, axiom, ![X1]:(![X2]:(![X3]:(ssList(X3)=>![X4]:((segmentP(app(app(X3,X1),X4),X2)<=segmentP(X1,X2))<=ssList(X4)))<=ssList(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax56)). 3.35/3.53 fof(ax82, axiom, ![X1]:(ssList(X1)=>![X2]:(![X3]:(ssList(X3)=>app(X1,app(X2,X3))=app(app(X1,X2),X3))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax82)). 3.35/3.53 fof(ax95, axiom, ![X1]:(![X2]:(ssItem(X2)=>![X3]:(((gt(X2,X3)>(X1,X2))=>gt(X1,X3))<=ssItem(X3)))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax95)). 3.35/3.53 fof(ax88, axiom, ![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>![X3]:(((geq(X2,X3)&geq(X1,X2))=>geq(X1,X3))<=ssItem(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax88)). 3.35/3.53 fof(ax34, axiom, ![X1]:(ssItem(X1)=>![X2]:(![X3]:(ssItem(X3)=>(lt(X1,X3)<=(lt(X2,X3)<(X1,X2))))<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax34)). 3.35/3.53 fof(ax91, axiom, ![X1]:(![X2]:(ssItem(X2)=>![X3]:(ssItem(X3)=>(lt(X1,X3)<=(leq(X1,X2)<(X2,X3)))))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax91)). 3.35/3.53 fof(ax67, axiom, ![X1]:(![X2]:((totalorderedP(cons(X1,X2))<=>(((nil!=X2&leq(X1,hd(X2)))&totalorderedP(X2))|X2=nil))<=ssList(X2))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax67)). 3.35/3.53 fof(ax40, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(((frontsegP(X1,X2)&frontsegP(X2,X3))=>frontsegP(X1,X3))<=ssList(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax40)). 3.35/3.53 fof(ax30, axiom, ![X1]:(ssItem(X1)=>![X2]:(![X3]:(ssItem(X3)=>((leq(X1,X2)&leq(X2,X3))=>leq(X1,X3)))<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax30)). 3.35/3.53 fof(ax47, axiom, ![X1]:(ssList(X1)=>![X2]:(![X3]:(((rearsegP(X2,X3)&rearsegP(X1,X2))=>rearsegP(X1,X3))<=ssList(X3))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax47)). 3.35/3.53 fof(ax77, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>(X2=X1<=(((X2!=nil&X1!=nil)&hd(X1)=hd(X2))&tl(X1)=tl(X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax77)). 3.35/3.53 fof(ax43, axiom, ![X1]:(![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>(frontsegP(app(X1,X3),X2)<=frontsegP(X1,X2))))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax43)). 3.35/3.53 fof(ax50, axiom, ![X1]:(![X2]:(![X3]:((rearsegP(app(X3,X1),X2)<=rearsegP(X1,X2))<=ssList(X3))<=ssList(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax50)). 3.35/3.53 fof(ax70, axiom, ![X1]:(![X2]:(ssList(X2)=>(strictorderedP(cons(X1,X2))<=>(((X2!=nil<(X1,hd(X2)))&strictorderedP(X2))|nil=X2)))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax70)). 3.35/3.53 fof(ax19, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(![X4]:(ssItem(X4)=>((X2=X1&X4=X3)<=cons(X4,X2)=cons(X3,X1)))<=ssItem(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax19)). 3.35/3.53 fof(ax86, axiom, ![X1]:(![X2]:(ssList(X2)=>(nil!=X1=>tl(app(X1,X2))=app(tl(X1),X2)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax86)). 3.35/3.53 fof(ax53, axiom, ![X1]:(![X2]:(ssList(X2)=>![X3]:((segmentP(X1,X3)<=(segmentP(X1,X2)&segmentP(X2,X3)))<=ssList(X3)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax53)). 3.35/3.53 fof(ax81, axiom, ![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>app(cons(X2,nil),X1)=cons(X2,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax81)). 3.35/3.53 fof(ax79, axiom, ![X1]:(![X2]:(ssList(X2)=>![X3]:((app(X3,X2)=app(X1,X2)=>X3=X1)<=ssList(X3)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax79)). 3.35/3.53 fof(ax80, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:((app(X2,X3)=app(X2,X1)=>X3=X1)<=ssList(X3)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax80)). 3.35/3.53 fof(ax92, axiom, ![X1]:(ssItem(X1)=>![X2]:(((lt(X1,X2)|X1=X2)<=leq(X1,X2))<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax92)). 3.35/3.53 fof(ax85, axiom, ![X1]:(![X2]:((hd(app(X1,X2))=hd(X1)<=X1!=nil)<=ssList(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax85)). 3.35/3.53 fof(ax87, axiom, ![X1]:(![X2]:((X2=X1<=(geq(X1,X2)&geq(X2,X1)))<=ssItem(X2))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax87)). 3.35/3.53 fof(ax78, axiom, ![X1]:((nil!=X1=>X1=cons(hd(X1),tl(X1)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax78)). 3.35/3.53 fof(ax20, axiom, ![X1]:(ssList(X1)=>(?[X2]:(ssList(X2)&?[X3]:(ssItem(X3)&cons(X3,X2)=X1))|X1=nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax20)). 3.35/3.53 fof(ax23, axiom, ![X1]:(![X2]:(hd(cons(X2,X1))=X2<=ssItem(X2))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax23)). 3.35/3.53 fof(ax29, axiom, ![X1]:(![X2]:((X1=X2<=(leq(X1,X2)&leq(X2,X1)))<=ssItem(X2))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax29)). 3.35/3.53 fof(ax54, axiom, ![X1]:(ssList(X1)=>![X2]:((X1=X2<=(segmentP(X1,X2)&segmentP(X2,X1)))<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax54)). 3.35/3.53 fof(ax41, axiom, ![X1]:(![X2]:(ssList(X2)=>(X1=X2<=(frontsegP(X2,X1)&frontsegP(X1,X2))))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax41)). 3.35/3.53 fof(ax48, axiom, ![X1]:(ssList(X1)=>![X2]:(((rearsegP(X1,X2)&rearsegP(X2,X1))=>X1=X2)<=ssList(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax48)). 3.35/3.53 fof(ax25, axiom, ![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>tl(cons(X2,X1))=X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax25)). 3.35/3.53 fof(ax16, axiom, ![X1]:(ssList(X1)=>![X2]:(ssList(cons(X2,X1))<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax16)). 3.35/3.53 fof(ax35, axiom, ![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(lt(X2,X1)<=>gt(X1,X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax35)). 3.35/3.53 fof(ax32, axiom, ![X1]:(![X2]:((leq(X2,X1)<=>geq(X1,X2))<=ssItem(X2))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax32)). 3.35/3.53 fof(ax71, axiom, ![X1]:(ssItem(X1)=>duplicatefreeP(cons(X1,nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax71)). 3.35/3.53 fof(ax59, axiom, ![X1]:(ssItem(X1)=>cyclefreeP(cons(X1,nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax59)). 3.35/3.53 fof(ax75, axiom, ![X1]:((?[X2]:(ssItem(X2)&hd(X1)=X2)<=nil!=X1)<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax75)). 3.35/3.53 fof(ax65, axiom, ![X1]:(totalorderedP(cons(X1,nil))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax65)). 3.35/3.53 fof(ax93, axiom, ![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(lt(X1,X2)<=>(X1!=X2&leq(X1,X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax93)). 3.35/3.53 fof(ax63, axiom, ![X1]:(ssItem(X1)=>strictorderP(cons(X1,nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax63)). 3.35/3.53 fof(ax61, axiom, ![X1]:(ssItem(X1)=>totalorderP(cons(X1,nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax61)). 3.35/3.53 fof(ax94, axiom, ![X1]:(ssItem(X1)=>![X2]:((~(gt(X2,X1))<=gt(X1,X2))<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax94)). 3.35/3.53 fof(ax33, axiom, ![X1]:(ssItem(X1)=>![X2]:(ssItem(X2)=>(~(lt(X2,X1))<=lt(X1,X2)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax33)). 3.35/3.53 fof(ax73, axiom, ![X1]:(equalelemsP(cons(X1,nil))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax73)). 3.35/3.53 fof(ax22, axiom, ![X1]:(ssList(X1)=>(X1!=nil=>ssItem(hd(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax22)). 3.35/3.53 fof(ax24, axiom, ![X1]:(ssList(X1)=>(nil!=X1=>ssList(tl(X1)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax24)). 3.35/3.53 fof(ax76, axiom, ![X1]:((X1!=nil=>?[X2]:(tl(X1)=X2&ssList(X2)))<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax76)). 3.35/3.53 fof(ax68, axiom, ![X1]:(strictorderedP(cons(X1,nil))<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax68)). 3.35/3.53 fof(ax28, axiom, ![X1]:(ssList(X1)=>X1=app(nil,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax28)). 3.35/3.53 fof(ax89, axiom, ![X1]:(ssItem(X1)=>geq(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax89)). 3.35/3.53 fof(ax42, axiom, ![X1]:(ssList(X1)=>frontsegP(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax42)). 3.35/3.53 fof(ax84, axiom, ![X1]:(ssList(X1)=>X1=app(X1,nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax84)). 3.35/3.53 fof(ax55, axiom, ![X1]:(ssList(X1)=>segmentP(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax55)). 3.35/3.53 fof(ax45, axiom, ![X1]:(ssList(X1)=>frontsegP(X1,nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax45)). 3.35/3.53 fof(ax31, axiom, ![X1]:(leq(X1,X1)<=ssItem(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax31)). 3.35/3.53 fof(ax49, axiom, ![X1]:(ssList(X1)=>rearsegP(X1,X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax49)). 3.35/3.53 fof(ax21, axiom, ![X1]:(ssList(X1)=>![X2]:(nil!=cons(X2,X1)<=ssItem(X2))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax21)). 3.35/3.53 fof(ax18, axiom, ![X1]:(ssList(X1)=>![X2]:(ssItem(X2)=>X1!=cons(X2,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax18)). 3.35/3.53 fof(ax51, axiom, ![X1]:(rearsegP(X1,nil)<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax51)). 3.35/3.53 fof(ax57, axiom, ![X1]:(segmentP(X1,nil)<=ssList(X1)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax57)). 3.35/3.53 fof(ax38, axiom, ![X1]:(ssItem(X1)=>~(memberP(nil,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax38)). 3.35/3.53 fof(ax90, axiom, ![X1]:(ssItem(X1)=>~(lt(X1,X1))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax90)). 3.35/3.53 fof(ax2, axiom, ?[X1]:(ssItem(X1)&?[X2]:(ssItem(X2)&X1!=X2)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax2)). 3.35/3.53 fof(ax39, axiom, ~(singletonP(nil)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax39)). 3.35/3.53 fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)). 3.35/3.53 fof(ax72, axiom, duplicatefreeP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax72)). 3.35/3.53 fof(ax60, axiom, cyclefreeP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax60)). 3.35/3.53 fof(ax66, axiom, totalorderedP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax66)). 3.35/3.53 fof(ax64, axiom, strictorderP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax64)). 3.35/3.53 fof(ax62, axiom, totalorderP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax62)). 3.35/3.53 fof(ax74, axiom, equalelemsP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax74)). 3.35/3.53 fof(ax69, axiom, strictorderedP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax69)). 3.35/3.53 fof(c_0_96, negated_conjecture, ~(![X1]:(ssList(X1)=>![X2]:(ssList(X2)=>![X3]:(ssList(X3)=>![X4]:(X2!=X4|~(segmentP(X4,X3))|strictorderedP(X1)|(neq(X4,nil)&~(singletonP(X3)))|X1!=X3|~(ssList(X4))))))), inference(assume_negation,[status(cth)],[co1])). 3.35/3.53 fof(c_0_97, plain, ![X204, X210, X211, X212, X213, X214]:(((ssItem(esk37_1(X204))|totalorderP(X204)|~ssList(X204))&((ssItem(esk38_1(X204))|totalorderP(X204)|~ssList(X204))&((ssList(esk39_1(X204))|totalorderP(X204)|~ssList(X204))&((ssList(esk40_1(X204))|totalorderP(X204)|~ssList(X204))&((ssList(esk41_1(X204))|totalorderP(X204)|~ssList(X204))&((app(app(esk39_1(X204),cons(esk37_1(X204),esk40_1(X204))),cons(esk38_1(X204),esk41_1(X204)))=X204|totalorderP(X204)|~ssList(X204))&((~leq(esk38_1(X204),esk37_1(X204))|totalorderP(X204)|~ssList(X204))&(~leq(esk37_1(X204),esk38_1(X204))|totalorderP(X204)|~ssList(X204)))))))))&(~totalorderP(X204)|(~ssItem(X210)|(~ssItem(X211)|(~ssList(X212)|(~ssList(X213)|(~ssList(X214)|(app(app(X212,cons(X210,X213)),cons(X211,X214))!=X204|(leq(X211,X210)|leq(X210,X211))))))))|~ssList(X204))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax9])])])])])])). 3.35/3.53 fof(c_0_98, plain, ![X29, X30, X31, X32, X33, X34]:((~strictorderP(X29)|(~ssItem(X30)|(~ssItem(X31)|(~ssList(X32)|(~ssList(X33)|(~ssList(X34)|(X29!=app(app(X32,cons(X30,X33)),cons(X31,X34))|(lt(X31,X30)|lt(X30,X31))))))))|~ssList(X29))&((ssItem(esk4_1(X29))|strictorderP(X29)|~ssList(X29))&((ssItem(esk5_1(X29))|strictorderP(X29)|~ssList(X29))&((ssList(esk6_1(X29))|strictorderP(X29)|~ssList(X29))&((ssList(esk7_1(X29))|strictorderP(X29)|~ssList(X29))&((ssList(esk8_1(X29))|strictorderP(X29)|~ssList(X29))&((X29=app(app(esk6_1(X29),cons(esk4_1(X29),esk7_1(X29))),cons(esk5_1(X29),esk8_1(X29)))|strictorderP(X29)|~ssList(X29))&((~lt(esk5_1(X29),esk4_1(X29))|strictorderP(X29)|~ssList(X29))&(~lt(esk4_1(X29),esk5_1(X29))|strictorderP(X29)|~ssList(X29)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax10])])])])])])). 3.35/3.53 fof(c_0_99, plain, ![X86, X87, X88, X89, X90, X91]:((~cyclefreeP(X86)|(~ssItem(X87)|(~ssItem(X88)|(~ssList(X89)|(~ssList(X90)|(~ssList(X91)|(app(app(X89,cons(X87,X90)),cons(X88,X91))!=X86|(~leq(X87,X88)|~leq(X88,X87))))))))|~ssList(X86))&((ssItem(esk15_1(X86))|cyclefreeP(X86)|~ssList(X86))&((ssItem(esk16_1(X86))|cyclefreeP(X86)|~ssList(X86))&((ssList(esk17_1(X86))|cyclefreeP(X86)|~ssList(X86))&((ssList(esk18_1(X86))|cyclefreeP(X86)|~ssList(X86))&((ssList(esk19_1(X86))|cyclefreeP(X86)|~ssList(X86))&((app(app(esk17_1(X86),cons(esk15_1(X86),esk18_1(X86))),cons(esk16_1(X86),esk19_1(X86)))=X86|cyclefreeP(X86)|~ssList(X86))&((leq(esk15_1(X86),esk16_1(X86))|cyclefreeP(X86)|~ssList(X86))&(leq(esk16_1(X86),esk15_1(X86))|cyclefreeP(X86)|~ssList(X86)))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax8])])])])])])). 3.35/3.53 fof(c_0_100, plain, ![X223, X229, X230, X231, X232, X233]:(((ssItem(esk42_1(X223))|strictorderedP(X223)|~ssList(X223))&((ssItem(esk43_1(X223))|strictorderedP(X223)|~ssList(X223))&((ssList(esk44_1(X223))|strictorderedP(X223)|~ssList(X223))&((ssList(esk45_1(X223))|strictorderedP(X223)|~ssList(X223))&((ssList(esk46_1(X223))|strictorderedP(X223)|~ssList(X223))&((app(app(esk44_1(X223),cons(esk42_1(X223),esk45_1(X223))),cons(esk43_1(X223),esk46_1(X223)))=X223|strictorderedP(X223)|~ssList(X223))&(~lt(esk42_1(X223),esk43_1(X223))|strictorderedP(X223)|~ssList(X223))))))))&(~strictorderedP(X223)|(~ssItem(X229)|(~ssItem(X230)|(~ssList(X231)|(~ssList(X232)|(~ssList(X233)|(app(app(X231,cons(X229,X232)),cons(X230,X233))!=X223|lt(X229,X230)))))))|~ssList(X223))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax12])])])])])])). 3.35/3.53 fof(c_0_101, plain, ![X115, X121, X122, X123, X124, X125]:(((ssItem(esk22_1(X115))|totalorderedP(X115)|~ssList(X115))&((ssItem(esk23_1(X115))|totalorderedP(X115)|~ssList(X115))&((ssList(esk24_1(X115))|totalorderedP(X115)|~ssList(X115))&((ssList(esk25_1(X115))|totalorderedP(X115)|~ssList(X115))&((ssList(esk26_1(X115))|totalorderedP(X115)|~ssList(X115))&((X115=app(app(esk24_1(X115),cons(esk22_1(X115),esk25_1(X115))),cons(esk23_1(X115),esk26_1(X115)))|totalorderedP(X115)|~ssList(X115))&(~leq(esk22_1(X115),esk23_1(X115))|totalorderedP(X115)|~ssList(X115))))))))&(~totalorderedP(X115)|(~ssItem(X121)|(~ssItem(X122)|(~ssList(X123)|(~ssList(X124)|(~ssList(X125)|(X115!=app(app(X123,cons(X121,X124)),cons(X122,X125))|leq(X121,X122)))))))|~ssList(X115))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax11])])])])])])). 3.35/3.53 fof(c_0_102, plain, ![X174, X175, X176, X177, X178, X179]:((~duplicatefreeP(X174)|(~ssItem(X175)|(~ssItem(X176)|(~ssList(X177)|(~ssList(X178)|(~ssList(X179)|(app(app(X177,cons(X175,X178)),cons(X176,X179))!=X174|X176!=X175))))))|~ssList(X174))&((ssItem(esk31_1(X174))|duplicatefreeP(X174)|~ssList(X174))&((ssItem(esk32_1(X174))|duplicatefreeP(X174)|~ssList(X174))&((ssList(esk33_1(X174))|duplicatefreeP(X174)|~ssList(X174))&((ssList(esk34_1(X174))|duplicatefreeP(X174)|~ssList(X174))&((ssList(esk35_1(X174))|duplicatefreeP(X174)|~ssList(X174))&((app(app(esk33_1(X174),cons(esk31_1(X174),esk34_1(X174))),cons(esk32_1(X174),esk35_1(X174)))=X174|duplicatefreeP(X174)|~ssList(X174))&(esk32_1(X174)=esk31_1(X174)|duplicatefreeP(X174)|~ssList(X174))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])])])])). 3.35/3.53 fof(c_0_103, plain, ![X53, X54, X55, X56]:(((X53=X54|~frontsegP(cons(X53,X55),cons(X54,X56))|~ssList(X56)|~ssList(X55)|~ssItem(X54)|~ssItem(X53))&(frontsegP(X55,X56)|~frontsegP(cons(X53,X55),cons(X54,X56))|~ssList(X56)|~ssList(X55)|~ssItem(X54)|~ssItem(X53)))&(X53!=X54|~frontsegP(X55,X56)|frontsegP(cons(X53,X55),cons(X54,X56))|~ssList(X56)|~ssList(X55)|~ssItem(X54)|~ssItem(X53))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax44])])])])])). 3.35/3.53 fof(c_0_104, plain, ![X58, X63, X64, X65, X66]:(((ssItem(esk9_1(X58))|equalelemsP(X58)|~ssList(X58))&((ssItem(esk10_1(X58))|equalelemsP(X58)|~ssList(X58))&((ssList(esk11_1(X58))|equalelemsP(X58)|~ssList(X58))&((ssList(esk12_1(X58))|equalelemsP(X58)|~ssList(X58))&((X58=app(esk11_1(X58),cons(esk9_1(X58),cons(esk10_1(X58),esk12_1(X58))))|equalelemsP(X58)|~ssList(X58))&(esk10_1(X58)!=esk9_1(X58)|equalelemsP(X58)|~ssList(X58)))))))&(~equalelemsP(X58)|(~ssItem(X63)|(~ssItem(X64)|(~ssList(X65)|(~ssList(X66)|(X58!=app(X65,cons(X63,cons(X64,X66)))|X64=X63)))))|~ssList(X58))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])])])])])). 3.35/3.53 fof(c_0_105, plain, ![X103, X104, X107, X108]:((((X103=app(esk20_2(X103,X104),cons(X104,esk21_2(X103,X104)))|~memberP(X103,X104)|~ssItem(X104)|~ssList(X103))&(ssList(esk21_2(X103,X104))|~memberP(X103,X104)|~ssItem(X104)|~ssList(X103)))&(ssList(esk20_2(X103,X104))|~memberP(X103,X104)|~ssItem(X104)|~ssList(X103)))&(X103!=app(X107,cons(X104,X108))|~ssList(X108)|~ssList(X107)|memberP(X103,X104)|~ssItem(X104)|~ssList(X103))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3])])])])])])). 3.35/3.53 fof(c_0_106, plain, ![X21, X22, X23, X24]:((~ssList(X24)|app(app(X23,X22),X24)!=X21|~ssList(X23)|segmentP(X21,X22)|~ssList(X22)|~ssList(X21))&(((ssList(esk3_2(X21,X22))|~segmentP(X21,X22)|~ssList(X22)|~ssList(X21))&(app(app(esk2_2(X21,X22),X22),esk3_2(X21,X22))=X21|~segmentP(X21,X22)|~ssList(X22)|~ssList(X21)))&(ssList(esk2_2(X21,X22))|~segmentP(X21,X22)|~ssList(X22)|~ssList(X21)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax7])])])])])])). 3.35/3.53 fof(c_0_107, plain, ![X246, X247, X248]:(((X246!=X247|memberP(cons(X247,X248),X246)|~ssList(X248)|~ssItem(X247)|~ssItem(X246))&(~memberP(X248,X246)|memberP(cons(X247,X248),X246)|~ssList(X248)|~ssItem(X247)|~ssItem(X246)))&(~memberP(cons(X247,X248),X246)|(X246=X247|memberP(X248,X246))|~ssList(X248)|~ssItem(X247)|~ssItem(X246))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax37])])])])])). 3.35/3.53 fof(c_0_108, plain, ![X191, X192, X193]:((~ssList(X193)|app(X193,X192)!=X191|rearsegP(X191,X192)|~ssList(X192)|~ssList(X191))&((ssList(esk36_2(X191,X192))|~rearsegP(X191,X192)|~ssList(X192)|~ssList(X191))&(app(esk36_2(X191,X192),X192)=X191|~rearsegP(X191,X192)|~ssList(X192)|~ssList(X191)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax6])])])])])). 3.35/3.53 fof(c_0_109, plain, ![X19, X20]:(~ssList(X19)|(~ssList(X20)|ssList(app(X19,X20)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax26])])])])). 3.35/3.53 fof(c_0_110, plain, ![X165, X166, X167]:((X165!=app(X166,X167)|~ssList(X167)|frontsegP(X165,X166)|~ssList(X166)|~ssList(X165))&((X165=app(X166,esk30_2(X165,X166))|~frontsegP(X165,X166)|~ssList(X166)|~ssList(X165))&(ssList(esk30_2(X165,X166))|~frontsegP(X165,X166)|~ssList(X166)|~ssList(X165)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax5])])])])])])). 3.35/3.53 fof(c_0_111, plain, ![X16, X17]:((X16!=cons(X17,nil)|~ssItem(X17)|singletonP(X16)|~ssList(X16))&((X16=cons(esk1_1(X16),nil)|~singletonP(X16)|~ssList(X16))&(ssItem(esk1_1(X16))|~singletonP(X16)|~ssList(X16)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])])])])). 3.35/3.53 fof(c_0_112, plain, ![X196, X197]:((X196=X197|neq(X196,X197)|~ssItem(X197)|~ssItem(X196))&(~neq(X196,X197)|X196!=X197|~ssItem(X197)|~ssItem(X196))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1])])])])])). 3.35/3.53 fof(c_0_113, plain, ![X10, X11]:((X11=X10|neq(X10,X11)|~ssList(X11)|~ssList(X10))&(~neq(X10,X11)|X11!=X10|~ssList(X11)|~ssList(X10))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax15])])])])])). 3.35/3.53 fof(c_0_114, negated_conjecture, (ssList(esk48_0)&(ssList(esk49_0)&(ssList(esk50_0)&(((((esk49_0=esk51_0&segmentP(esk51_0,esk50_0))&~strictorderedP(esk48_0))&(~neq(esk51_0,nil)|singletonP(esk50_0)))&esk48_0=esk50_0)&ssList(esk51_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_96])])])])). 3.35/3.53 fof(c_0_115, plain, ![X199, X200]:(((X199=nil|nil!=app(X199,X200)|~ssList(X200)|~ssList(X199))&(nil=X200|nil!=app(X199,X200)|~ssList(X200)|~ssList(X199)))&(X199!=nil|nil!=X200|nil=app(X199,X200)|~ssList(X200)|~ssList(X199))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax83])])])])])). 3.35/3.53 fof(c_0_116, plain, ![X7]:((~rearsegP(nil,X7)|nil=X7|~ssList(X7))&(nil!=X7|rearsegP(nil,X7)|~ssList(X7))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax52])])])])). 3.35/3.53 fof(c_0_117, plain, ![X109]:((X109!=nil|frontsegP(nil,X109)|~ssList(X109))&(~frontsegP(nil,X109)|X109=nil|~ssList(X109))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax46])])])])). 3.35/3.53 fof(c_0_118, plain, ![X150]:((~segmentP(nil,X150)|nil=X150|~ssList(X150))&(nil!=X150|segmentP(nil,X150)|~ssList(X150))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax58])])])). 3.35/3.53 cnf(c_0_119, plain, (leq(X3,X2)|leq(X2,X3)|~totalorderP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97])). 3.35/3.53 cnf(c_0_120, plain, (lt(X3,X2)|lt(X2,X3)|~strictorderP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|X1!=app(app(X4,cons(X2,X5)),cons(X3,X6))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98])). 3.35/3.53 cnf(c_0_121, plain, (~cyclefreeP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|~leq(X2,X3)|~leq(X3,X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99])). 3.35/3.53 cnf(c_0_122, plain, (lt(X2,X3)|~strictorderedP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100])). 3.35/3.53 cnf(c_0_123, plain, (leq(X2,X3)|~totalorderedP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|X1!=app(app(X4,cons(X2,X5)),cons(X3,X6))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101])). 3.35/3.53 cnf(c_0_124, plain, (~duplicatefreeP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|~ssList(X6)|app(app(X4,cons(X2,X5)),cons(X3,X6))!=X1|X3!=X2|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102])). 3.35/3.53 cnf(c_0_125, plain, (frontsegP(cons(X1,X3),cons(X2,X4))|X1!=X2|~frontsegP(X3,X4)|~ssList(X4)|~ssList(X3)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_103])). 3.35/3.53 cnf(c_0_126, plain, (X3=X2|~equalelemsP(X1)|~ssItem(X2)|~ssItem(X3)|~ssList(X4)|~ssList(X5)|X1!=app(X4,cons(X2,cons(X3,X5)))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104])). 3.35/3.53 fof(c_0_127, plain, ![X82, X83, X84]:(~ssList(X82)|(~ssList(X83)|(~ssItem(X84)|cons(X84,app(X83,X82))=app(cons(X84,X83),X82)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax27])])])])). 3.35/3.53 cnf(c_0_128, plain, (memberP(X1,X3)|X1!=app(X2,cons(X3,X4))|~ssList(X4)|~ssList(X2)|~ssItem(X3)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_105])). 3.35/3.53 fof(c_0_129, plain, ![X237, X238, X239]:(((~memberP(X239,X237)|memberP(app(X238,X239),X237)|~ssList(X239)|~ssList(X238)|~ssItem(X237))&(~memberP(X238,X237)|memberP(app(X238,X239),X237)|~ssList(X239)|~ssList(X238)|~ssItem(X237)))&(~memberP(app(X238,X239),X237)|(memberP(X239,X237)|memberP(X238,X237))|~ssList(X239)|~ssList(X238)|~ssItem(X237))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax36])])])])])). 3.35/3.53 fof(c_0_130, plain, ![X49, X50, X51, X52]:(~ssList(X49)|(~ssList(X50)|(~ssList(X51)|(~ssList(X52)|(~segmentP(X49,X50)|segmentP(app(app(X51,X49),X52),X50)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax56])])])])). 3.35/3.53 fof(c_0_131, plain, ![X147, X148, X149]:(~ssList(X147)|(~ssList(X148)|(~ssList(X149)|app(X147,app(X148,X149))=app(app(X147,X148),X149)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax82])])])])). 3.35/3.53 fof(c_0_132, plain, ![X169, X170, X171]:(~ssItem(X169)|(~ssItem(X170)|(~ssItem(X171)|(~gt(X170,X171)|~gt(X169,X170)|gt(X169,X171))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax95])])])])). 3.35/3.53 fof(c_0_133, plain, ![X72, X73, X74]:(~ssItem(X72)|(~ssItem(X73)|(~ssItem(X74)|(~geq(X73,X74)|~geq(X72,X73)|geq(X72,X74))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax88])])])])). 3.35/3.53 fof(c_0_134, plain, ![X136, X137, X138]:(~ssItem(X136)|(~ssItem(X137)|(~ssItem(X138)|(~lt(X137,X138)|~lt(X136,X137)|lt(X136,X138))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax34])])])])). 3.35/3.53 fof(c_0_135, plain, ![X218, X219, X220]:(~ssItem(X218)|(~ssItem(X219)|(~ssItem(X220)|(~leq(X218,X219)|~lt(X219,X220)|lt(X218,X220))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax91])])])])). 3.35/3.53 cnf(c_0_136, plain, (segmentP(X4,X3)|~ssList(X1)|app(app(X2,X3),X1)!=X4|~ssList(X2)|~ssList(X3)|~ssList(X4)), inference(split_conjunct,[status(thm)],[c_0_106])). 3.35/3.53 fof(c_0_137, plain, ![X126, X127]:((((nil!=X127|X127=nil|~totalorderedP(cons(X126,X127))|~ssList(X127)|~ssItem(X126))&(leq(X126,hd(X127))|X127=nil|~totalorderedP(cons(X126,X127))|~ssList(X127)|~ssItem(X126)))&(totalorderedP(X127)|X127=nil|~totalorderedP(cons(X126,X127))|~ssList(X127)|~ssItem(X126)))&((nil=X127|~leq(X126,hd(X127))|~totalorderedP(X127)|totalorderedP(cons(X126,X127))|~ssList(X127)|~ssItem(X126))&(X127!=nil|totalorderedP(cons(X126,X127))|~ssList(X127)|~ssItem(X126)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax67])])])])])). 3.35/3.53 fof(c_0_138, plain, ![X185, X186, X187]:(~ssList(X185)|(~ssList(X186)|(~ssList(X187)|(~frontsegP(X185,X186)|~frontsegP(X186,X187)|frontsegP(X185,X187))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax40])])])])). 3.35/3.53 fof(c_0_139, plain, ![X162, X163, X164]:(~ssItem(X162)|(~ssItem(X163)|(~ssItem(X164)|(~leq(X162,X163)|~leq(X163,X164)|leq(X162,X164))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax30])])])])). 3.35/3.53 fof(c_0_140, plain, ![X42, X43, X44]:(~ssList(X42)|(~ssList(X43)|(~ssList(X44)|(~rearsegP(X43,X44)|~rearsegP(X42,X43)|rearsegP(X42,X44))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax47])])])])). 3.35/3.53 fof(c_0_141, plain, ![X151, X152]:(~ssList(X151)|(~ssList(X152)|(X152=nil|X151=nil|hd(X151)!=hd(X152)|tl(X151)!=tl(X152)|X152=X151))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax77])])])])). 3.35/3.53 fof(c_0_142, plain, ![X69, X70, X71]:(~ssList(X69)|(~ssList(X70)|(~ssList(X71)|(~frontsegP(X69,X70)|frontsegP(app(X69,X71),X70))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax43])])])])). 3.35/3.53 fof(c_0_143, plain, ![X97, X98, X99]:(~ssList(X97)|(~ssList(X98)|(~ssList(X99)|(~rearsegP(X97,X98)|rearsegP(app(X99,X97),X98))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax50])])])])). 3.35/3.53 fof(c_0_144, plain, ![X221, X222]:((((X222!=nil|nil=X222|~strictorderedP(cons(X221,X222))|~ssList(X222)|~ssItem(X221))&(lt(X221,hd(X222))|nil=X222|~strictorderedP(cons(X221,X222))|~ssList(X222)|~ssItem(X221)))&(strictorderedP(X222)|nil=X222|~strictorderedP(cons(X221,X222))|~ssList(X222)|~ssItem(X221)))&((X222=nil|~lt(X221,hd(X222))|~strictorderedP(X222)|strictorderedP(cons(X221,X222))|~ssList(X222)|~ssItem(X221))&(nil!=X222|strictorderedP(cons(X221,X222))|~ssList(X222)|~ssItem(X221)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax70])])])])])). 3.35/3.53 cnf(c_0_145, plain, (memberP(cons(X2,X3),X1)|X1!=X2|~ssList(X3)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_107])). 3.35/3.53 cnf(c_0_146, plain, (rearsegP(X3,X2)|~ssList(X1)|app(X1,X2)!=X3|~ssList(X2)|~ssList(X3)), inference(split_conjunct,[status(thm)],[c_0_108])). 3.35/3.53 cnf(c_0_147, plain, (ssList(app(X1,X2))|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_109]), ['final']). 3.35/3.53 fof(c_0_148, plain, ![X110, X111, X112, X113]:((X111=X110|cons(X113,X111)!=cons(X112,X110)|~ssItem(X113)|~ssItem(X112)|~ssList(X111)|~ssList(X110))&(X113=X112|cons(X113,X111)!=cons(X112,X110)|~ssItem(X113)|~ssItem(X112)|~ssList(X111)|~ssList(X110))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax19])])])])])). 3.35/3.53 fof(c_0_149, plain, ![X201, X202]:(~ssList(X201)|(~ssList(X202)|(nil=X201|tl(app(X201,X202))=app(tl(X201),X202)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax86])])])])). 3.35/3.53 cnf(c_0_150, plain, (frontsegP(X1,X2)|X1!=app(X2,X3)|~ssList(X3)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_110])). 3.35/3.53 fof(c_0_151, plain, ![X129, X130, X131]:(~ssList(X129)|(~ssList(X130)|(~ssList(X131)|(~segmentP(X129,X130)|~segmentP(X130,X131)|segmentP(X129,X131))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax53])])])])). 3.35/3.53 fof(c_0_152, plain, ![X100, X101]:(~ssList(X100)|(~ssItem(X101)|app(cons(X101,nil),X100)=cons(X101,X100))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])). 3.35/3.53 fof(c_0_153, plain, ![X79, X80, X81]:(~ssList(X79)|(~ssList(X80)|(~ssList(X81)|(app(X81,X80)!=app(X79,X80)|X81=X79)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax79])])])])). 3.35/3.53 fof(c_0_154, plain, ![X188, X189, X190]:(~ssList(X188)|(~ssList(X189)|(~ssList(X190)|(app(X189,X190)!=app(X189,X188)|X190=X188)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax80])])])])). 3.35/3.53 fof(c_0_155, plain, ![X142, X143]:(~ssItem(X142)|(~ssItem(X143)|(~leq(X142,X143)|(lt(X142,X143)|X142=X143)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax92])])])])). 3.35/3.53 fof(c_0_156, plain, ![X172, X173]:(~ssList(X172)|(~ssList(X173)|(X172=nil|hd(app(X172,X173))=hd(X172)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax85])])])])). 3.35/3.53 fof(c_0_157, plain, ![X45, X46]:(~ssItem(X45)|(~ssItem(X46)|(~geq(X45,X46)|~geq(X46,X45)|X46=X45))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax87])])])])). 3.35/3.53 fof(c_0_158, plain, ![X216]:(~ssList(X216)|(nil=X216|X216=cons(hd(X216),tl(X216)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax78])])])). 3.35/3.53 fof(c_0_159, plain, ![X132]:((ssList(esk27_1(X132))|X132=nil|~ssList(X132))&((ssItem(esk28_1(X132))|X132=nil|~ssList(X132))&(cons(esk28_1(X132),esk27_1(X132))=X132|X132=nil|~ssList(X132)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])])])])). 3.35/3.53 fof(c_0_160, plain, ![X155, X156]:(~ssList(X155)|(~ssItem(X156)|hd(cons(X156,X155))=X156)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax23])])])])). 3.35/3.53 fof(c_0_161, plain, ![X240, X241]:(~ssItem(X240)|(~ssItem(X241)|(~leq(X240,X241)|~leq(X241,X240)|X240=X241))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax29])])])])). 3.35/3.53 fof(c_0_162, plain, ![X47, X48]:(~ssList(X47)|(~ssList(X48)|(~segmentP(X47,X48)|~segmentP(X48,X47)|X47=X48))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax54])])])])). 3.35/3.53 fof(c_0_163, plain, ![X14, X15]:(~ssList(X14)|(~ssList(X15)|(~frontsegP(X15,X14)|~frontsegP(X14,X15)|X14=X15))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax41])])])])). 3.35/3.53 fof(c_0_164, plain, ![X139, X140]:(~ssList(X139)|(~ssList(X140)|(~rearsegP(X139,X140)|~rearsegP(X140,X139)|X139=X140))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax48])])])])). 3.35/3.53 fof(c_0_165, plain, ![X12, X13]:(~ssList(X12)|(~ssItem(X13)|tl(cons(X13,X12))=X12)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])). 3.35/3.53 cnf(c_0_166, plain, (singletonP(X1)|X1!=cons(X2,nil)|~ssItem(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_111])). 3.35/3.53 fof(c_0_167, plain, ![X27, X28]:(~ssList(X27)|(~ssItem(X28)|ssList(cons(X28,X27)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax16])])])])). 3.35/3.53 fof(c_0_168, plain, ![X75, X76]:((~lt(X76,X75)|gt(X75,X76)|~ssItem(X76)|~ssItem(X75))&(~gt(X75,X76)|lt(X76,X75)|~ssItem(X76)|~ssItem(X75))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax35])])])])). 3.35/3.53 fof(c_0_169, plain, ![X145, X146]:((~leq(X146,X145)|geq(X145,X146)|~ssItem(X146)|~ssItem(X145))&(~geq(X145,X146)|leq(X146,X145)|~ssItem(X146)|~ssItem(X145))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax32])])])])])). 3.35/3.53 fof(c_0_170, plain, ![X141]:(~ssItem(X141)|duplicatefreeP(cons(X141,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax71])])). 3.35/3.53 fof(c_0_171, plain, ![X135]:(~ssItem(X135)|cyclefreeP(cons(X135,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])])). 3.35/3.53 fof(c_0_172, plain, ![X159]:((ssItem(esk29_1(X159))|nil=X159|~ssList(X159))&(hd(X159)=esk29_1(X159)|nil=X159|~ssList(X159))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax75])])])])])). 3.35/3.53 fof(c_0_173, plain, ![X41]:(~ssItem(X41)|totalorderedP(cons(X41,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax65])])])). 3.35/3.53 fof(c_0_174, plain, ![X234, X235]:(((X234!=X235|~lt(X234,X235)|~ssItem(X235)|~ssItem(X234))&(leq(X234,X235)|~lt(X234,X235)|~ssItem(X235)|~ssItem(X234)))&(X234=X235|~leq(X234,X235)|lt(X234,X235)|~ssItem(X235)|~ssItem(X234))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax93])])])])). 3.35/3.53 fof(c_0_175, plain, ![X102]:(~ssItem(X102)|strictorderP(cons(X102,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax63])])). 3.35/3.53 fof(c_0_176, plain, ![X195]:(~ssItem(X195)|totalorderP(cons(X195,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax61])])). 3.35/3.53 fof(c_0_177, plain, ![X153, X154]:(~ssItem(X153)|(~ssItem(X154)|(~gt(X153,X154)|~gt(X154,X153)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax94])])])])). 3.35/3.53 fof(c_0_178, plain, ![X249, X250]:(~ssItem(X249)|(~ssItem(X250)|(~lt(X249,X250)|~lt(X250,X249)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax33])])])])). 3.35/3.53 fof(c_0_179, plain, ![X57]:(~ssItem(X57)|equalelemsP(cons(X57,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax73])])])). 3.35/3.53 fof(c_0_180, plain, ![X77]:(~ssList(X77)|(X77=nil|ssItem(hd(X77)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax22])])). 3.35/3.53 fof(c_0_181, plain, ![X161]:(~ssList(X161)|(nil=X161|ssList(tl(X161)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax24])])). 3.35/3.53 cnf(c_0_182, plain, (~neq(X1,X2)|X1!=X2|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_112])). 3.35/3.53 fof(c_0_183, plain, ![X244]:((tl(X244)=esk47_1(X244)|X244=nil|~ssList(X244))&(ssList(esk47_1(X244))|X244=nil|~ssList(X244))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax76])])])])])). 3.35/3.53 fof(c_0_184, plain, ![X144]:(~ssItem(X144)|strictorderedP(cons(X144,nil))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax68])])])). 3.35/3.53 fof(c_0_185, plain, ![X78]:(~ssList(X78)|X78=app(nil,X78)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])). 3.35/3.53 cnf(c_0_186, plain, (~neq(X1,X2)|X2!=X1|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_113])). 3.35/3.53 fof(c_0_187, plain, ![X215]:(~ssItem(X215)|geq(X215,X215)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax89])])). 3.35/3.53 fof(c_0_188, plain, ![X203]:(~ssList(X203)|frontsegP(X203,X203)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax42])])). 3.35/3.53 fof(c_0_189, plain, ![X198]:(~ssList(X198)|X198=app(X198,nil)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax84])])). 3.35/3.53 fof(c_0_190, plain, ![X114]:(~ssList(X114)|segmentP(X114,X114)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax55])])). 3.35/3.53 fof(c_0_191, plain, ![X9]:(~ssList(X9)|frontsegP(X9,nil)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax45])])). 3.35/3.53 fof(c_0_192, plain, ![X8]:(~ssItem(X8)|leq(X8,X8)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax31])])])). 3.35/3.53 fof(c_0_193, plain, ![X40]:(~ssList(X40)|rearsegP(X40,X40)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])])). 3.35/3.53 fof(c_0_194, plain, ![X242, X243]:(~ssList(X242)|(~ssItem(X243)|nil!=cons(X243,X242))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax21])])])])). 3.35/3.53 fof(c_0_195, plain, ![X157, X158]:(~ssList(X157)|(~ssItem(X158)|X157!=cons(X158,X157))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax18])])])). 3.35/3.53 fof(c_0_196, plain, ![X217]:(~ssList(X217)|rearsegP(X217,nil)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax51])])])). 3.35/3.53 fof(c_0_197, plain, ![X128]:(~ssList(X128)|segmentP(X128,nil)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax57])])])). 3.35/3.53 fof(c_0_198, plain, ![X236]:(~ssItem(X236)|~memberP(nil,X236)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax38])])])). 3.35/3.53 fof(c_0_199, plain, ![X85]:(~ssItem(X85)|~lt(X85,X85)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[ax90])])])). 3.35/3.53 fof(c_0_200, plain, (ssItem(esk13_0)&(ssItem(esk14_0)&esk13_0!=esk14_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[ax2])])). 3.35/3.53 cnf(c_0_201, negated_conjecture, (~strictorderedP(esk48_0)), inference(split_conjunct,[status(thm)],[c_0_114])). 3.35/3.53 cnf(c_0_202, negated_conjecture, (esk48_0=esk50_0), inference(split_conjunct,[status(thm)],[c_0_114]), ['final']). 3.35/3.53 fof(c_0_203, plain, ~singletonP(nil), inference(fof_simplification,[status(thm)],[ax39])). 3.35/3.53 cnf(c_0_204, plain, (nil=app(X1,X2)|X1!=nil|nil!=X2|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_115])). 3.35/3.53 cnf(c_0_205, plain, (ssList(nil)), inference(split_conjunct,[status(thm)],[ax17]), ['final']). 3.35/3.53 cnf(c_0_206, plain, (rearsegP(nil,X1)|nil!=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_116])). 3.35/3.53 cnf(c_0_207, plain, (frontsegP(nil,X1)|X1!=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_117])). 3.35/3.53 cnf(c_0_208, plain, (segmentP(nil,X1)|nil!=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_118])). 3.35/3.53 cnf(c_0_209, negated_conjecture, (ssList(esk49_0)), inference(split_conjunct,[status(thm)],[c_0_114])). 3.35/3.53 cnf(c_0_210, negated_conjecture, (esk49_0=esk51_0), inference(split_conjunct,[status(thm)],[c_0_114]), ['final']). 3.35/3.53 cnf(c_0_211, negated_conjecture, (ssList(esk48_0)), inference(split_conjunct,[status(thm)],[c_0_114])). 3.35/3.53 cnf(c_0_212, plain, (app(app(esk39_1(X1),cons(esk37_1(X1),esk40_1(X1))),cons(esk38_1(X1),esk41_1(X1)))=X1|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_213, plain, (app(app(esk33_1(X1),cons(esk31_1(X1),esk34_1(X1))),cons(esk32_1(X1),esk35_1(X1)))=X1|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_214, plain, (leq(X1,X2)|leq(X2,X1)|~totalorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssItem(X1)|~ssItem(X2)|~ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3)), inference(er,[status(thm)],[c_0_119]), ['final']). 3.35/3.53 cnf(c_0_215, plain, (lt(X1,X2)|lt(X2,X1)|~strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssItem(X1)|~ssItem(X2)|~ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3)), inference(er,[status(thm)],[c_0_120]), ['final']). 3.35/3.53 cnf(c_0_216, plain, (app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1)))=X1|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_217, plain, (~cyclefreeP(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssItem(X4)|~ssItem(X2)|~leq(X4,X2)|~leq(X2,X4)|~ssList(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssList(X5)|~ssList(X3)|~ssList(X1)), inference(er,[status(thm)],[c_0_121]), ['final']). 3.35/3.53 cnf(c_0_218, plain, (X1=app(app(esk24_1(X1),cons(esk22_1(X1),esk25_1(X1))),cons(esk23_1(X1),esk26_1(X1)))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_219, plain, (lt(X1,X2)|~strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssItem(X2)|~ssItem(X1)|~ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3)), inference(er,[status(thm)],[c_0_122]), ['final']). 3.35/3.53 cnf(c_0_220, plain, (X1=app(app(esk6_1(X1),cons(esk4_1(X1),esk7_1(X1))),cons(esk5_1(X1),esk8_1(X1)))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_221, plain, (leq(X1,X2)|~totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssItem(X2)|~ssItem(X1)|~ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3)), inference(er,[status(thm)],[c_0_123]), ['final']). 3.35/3.53 cnf(c_0_222, plain, (app(app(esk44_1(X1),cons(esk42_1(X1),esk45_1(X1))),cons(esk43_1(X1),esk46_1(X1)))=X1|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_223, plain, (X1=app(esk11_1(X1),cons(esk9_1(X1),cons(esk10_1(X1),esk12_1(X1))))|equalelemsP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_224, plain, (~duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))|~ssItem(X2)|~ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))|~ssList(X4)|~ssList(X3)|~ssList(X1)), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_124])]), ['final']). 3.35/3.53 cnf(c_0_225, plain, (X1=app(esk20_2(X1,X2),cons(X2,esk21_2(X1,X2)))|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_105]), ['final']). 3.35/3.53 cnf(c_0_226, plain, (frontsegP(cons(X1,X2),cons(X1,X3))|~frontsegP(X2,X3)|~ssItem(X1)|~ssList(X3)|~ssList(X2)), inference(er,[status(thm)],[c_0_125]), ['final']). 3.35/3.53 cnf(c_0_227, plain, (app(app(esk2_2(X1,X2),X2),esk3_2(X1,X2))=X1|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_106]), ['final']). 3.35/3.53 cnf(c_0_228, plain, (X1=X2|~equalelemsP(app(X3,cons(X1,cons(X2,X4))))|~ssItem(X2)|~ssItem(X1)|~ssList(app(X3,cons(X1,cons(X2,X4))))|~ssList(X4)|~ssList(X3)), inference(er,[status(thm)],[c_0_126]), ['final']). 3.35/3.53 cnf(c_0_229, plain, (frontsegP(X1,X2)|~frontsegP(cons(X3,X1),cons(X4,X2))|~ssList(X2)|~ssList(X1)|~ssItem(X4)|~ssItem(X3)), inference(split_conjunct,[status(thm)],[c_0_103]), ['final']). 3.35/3.53 cnf(c_0_230, plain, (cons(X3,app(X2,X1))=app(cons(X3,X2),X1)|~ssList(X1)|~ssList(X2)|~ssItem(X3)), inference(split_conjunct,[status(thm)],[c_0_127]), ['final']). 3.35/3.53 cnf(c_0_231, plain, (memberP(app(X1,cons(X2,X3)),X2)|~ssItem(X2)|~ssList(app(X1,cons(X2,X3)))|~ssList(X3)|~ssList(X1)), inference(er,[status(thm)],[c_0_128]), ['final']). 3.35/3.53 cnf(c_0_232, plain, (memberP(X2,X3)|memberP(X1,X3)|~memberP(app(X1,X2),X3)|~ssList(X2)|~ssList(X1)|~ssItem(X3)), inference(split_conjunct,[status(thm)],[c_0_129]), ['final']). 3.35/3.53 cnf(c_0_233, plain, (segmentP(app(app(X3,X1),X4),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~ssList(X4)|~segmentP(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_130]), ['final']). 3.35/3.53 cnf(c_0_234, plain, (X3=X1|memberP(X2,X3)|~memberP(cons(X1,X2),X3)|~ssList(X2)|~ssItem(X1)|~ssItem(X3)), inference(split_conjunct,[status(thm)],[c_0_107]), ['final']). 3.35/3.53 cnf(c_0_235, plain, (app(X1,app(X2,X3))=app(app(X1,X2),X3)|~ssList(X1)|~ssList(X2)|~ssList(X3)), inference(split_conjunct,[status(thm)],[c_0_131]), ['final']). 3.35/3.53 cnf(c_0_236, plain, (gt(X1,X3)|~ssItem(X1)|~ssItem(X2)|~ssItem(X3)|~gt(X2,X3)|~gt(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_132]), ['final']). 3.35/3.53 cnf(c_0_237, plain, (geq(X1,X3)|~ssItem(X1)|~ssItem(X2)|~ssItem(X3)|~geq(X2,X3)|~geq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_133]), ['final']). 3.35/3.53 cnf(c_0_238, plain, (lt(X1,X3)|~ssItem(X1)|~ssItem(X2)|~ssItem(X3)|~lt(X2,X3)|~lt(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_134]), ['final']). 3.35/3.53 cnf(c_0_239, plain, (lt(X1,X3)|~ssItem(X1)|~ssItem(X2)|~ssItem(X3)|~leq(X1,X2)|~lt(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_135]), ['final']). 3.35/3.53 cnf(c_0_240, plain, (memberP(cons(X3,X1),X2)|~memberP(X1,X2)|~ssList(X1)|~ssItem(X3)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_107]), ['final']). 3.35/3.53 cnf(c_0_241, plain, (segmentP(app(app(X1,X2),X3),X2)|~ssList(app(app(X1,X2),X3))|~ssList(X2)|~ssList(X1)|~ssList(X3)), inference(er,[status(thm)],[c_0_136]), ['final']). 3.35/3.53 cnf(c_0_242, plain, (nil=X1|totalorderedP(cons(X2,X1))|~leq(X2,hd(X1))|~totalorderedP(X1)|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_137]), ['final']). 3.35/3.53 cnf(c_0_243, plain, (memberP(app(X1,X3),X2)|~memberP(X1,X2)|~ssList(X3)|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_129]), ['final']). 3.35/3.53 cnf(c_0_244, plain, (memberP(app(X3,X1),X2)|~memberP(X1,X2)|~ssList(X1)|~ssList(X3)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_129]), ['final']). 3.35/3.53 cnf(c_0_245, plain, (app(esk36_2(X1,X2),X2)=X1|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_108]), ['final']). 3.35/3.53 cnf(c_0_246, plain, (frontsegP(X1,X3)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~frontsegP(X1,X2)|~frontsegP(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_138]), ['final']). 3.35/3.53 cnf(c_0_247, plain, (leq(X1,X3)|~ssItem(X1)|~ssItem(X2)|~ssItem(X3)|~leq(X1,X2)|~leq(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_139]), ['final']). 3.35/3.53 cnf(c_0_248, plain, (rearsegP(X1,X3)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~rearsegP(X2,X3)|~rearsegP(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_140]), ['final']). 3.35/3.53 cnf(c_0_249, plain, (X1=X2|~frontsegP(cons(X1,X3),cons(X2,X4))|~ssList(X4)|~ssList(X3)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_103]), ['final']). 3.35/3.53 cnf(c_0_250, plain, (X1=app(X2,esk30_2(X1,X2))|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_110]), ['final']). 3.35/3.53 cnf(c_0_251, plain, (X2=nil|X1=nil|X2=X1|~ssList(X1)|~ssList(X2)|hd(X1)!=hd(X2)|tl(X1)!=tl(X2)), inference(split_conjunct,[status(thm)],[c_0_141]), ['final']). 3.35/3.53 cnf(c_0_252, plain, (leq(X1,hd(X2))|X2=nil|~totalorderedP(cons(X1,X2))|~ssList(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_137]), ['final']). 3.35/3.53 cnf(c_0_253, plain, (frontsegP(app(X1,X3),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~frontsegP(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_142]), ['final']). 3.35/3.53 cnf(c_0_254, plain, (rearsegP(app(X3,X1),X2)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~rearsegP(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_143]), ['final']). 3.35/3.53 cnf(c_0_255, plain, (lt(X1,hd(X2))|nil=X2|~strictorderedP(cons(X1,X2))|~ssList(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_144]), ['final']). 3.35/3.53 cnf(c_0_256, plain, (memberP(cons(X1,X2),X1)|~ssItem(X1)|~ssList(X2)), inference(er,[status(thm)],[c_0_145]), ['final']). 3.35/3.53 cnf(c_0_257, plain, (rearsegP(app(X1,X2),X2)|~ssList(X2)|~ssList(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_146]), c_0_147]), ['final']). 3.35/3.53 cnf(c_0_258, plain, (X1=X2|cons(X1,X3)!=cons(X2,X4)|~ssItem(X1)|~ssItem(X2)|~ssList(X3)|~ssList(X4)), inference(split_conjunct,[status(thm)],[c_0_148]), ['final']). 3.35/3.53 cnf(c_0_259, plain, (X1=X2|cons(X3,X1)!=cons(X4,X2)|~ssItem(X3)|~ssItem(X4)|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_148]), ['final']). 3.35/3.53 cnf(c_0_260, plain, (nil=X1|tl(app(X1,X2))=app(tl(X1),X2)|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_149]), ['final']). 3.35/3.53 cnf(c_0_261, plain, (frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1)), inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_150]), c_0_147]), ['final']). 3.35/3.53 cnf(c_0_262, plain, (X1=nil|strictorderedP(cons(X2,X1))|~lt(X2,hd(X1))|~strictorderedP(X1)|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_144]), ['final']). 3.35/3.53 cnf(c_0_263, plain, (segmentP(X1,X3)|~ssList(X1)|~ssList(X2)|~ssList(X3)|~segmentP(X1,X2)|~segmentP(X2,X3)), inference(split_conjunct,[status(thm)],[c_0_151]), ['final']). 3.35/3.53 cnf(c_0_264, plain, (app(cons(X2,nil),X1)=cons(X2,X1)|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_152]), ['final']). 3.35/3.53 cnf(c_0_265, plain, (X3=X1|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(X3,X2)!=app(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_153]), ['final']). 3.35/3.53 cnf(c_0_266, plain, (X3=X1|~ssList(X1)|~ssList(X2)|~ssList(X3)|app(X2,X3)!=app(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_154]), ['final']). 3.35/3.53 cnf(c_0_267, plain, (lt(X1,X2)|X1=X2|~ssItem(X1)|~ssItem(X2)|~leq(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_155]), ['final']). 3.35/3.53 cnf(c_0_268, plain, (X1=nil|hd(app(X1,X2))=hd(X1)|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_156]), ['final']). 3.35/3.53 cnf(c_0_269, plain, (leq(esk16_1(X1),esk15_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_270, plain, (totalorderedP(X1)|X1=nil|~totalorderedP(cons(X2,X1))|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_137]), ['final']). 3.35/3.53 cnf(c_0_271, plain, (ssList(esk36_2(X1,X2))|~rearsegP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_108]), ['final']). 3.35/3.53 cnf(c_0_272, plain, (ssList(esk30_2(X1,X2))|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_110]), ['final']). 3.35/3.53 cnf(c_0_273, plain, (leq(esk15_1(X1),esk16_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_274, plain, (ssList(esk21_2(X1,X2))|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_105]), ['final']). 3.35/3.53 cnf(c_0_275, plain, (ssList(esk20_2(X1,X2))|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_105]), ['final']). 3.35/3.53 cnf(c_0_276, plain, (X2=X1|~ssItem(X1)|~ssItem(X2)|~geq(X1,X2)|~geq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_157]), ['final']). 3.35/3.53 cnf(c_0_277, plain, (nil=X1|X1=cons(hd(X1),tl(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_158]), ['final']). 3.35/3.53 cnf(c_0_278, plain, (cons(esk28_1(X1),esk27_1(X1))=X1|X1=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_159]), ['final']). 3.35/3.53 cnf(c_0_279, plain, (ssList(esk3_2(X1,X2))|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_106]), ['final']). 3.35/3.53 cnf(c_0_280, plain, (ssList(esk2_2(X1,X2))|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_106]), ['final']). 3.35/3.53 cnf(c_0_281, plain, (hd(cons(X2,X1))=X2|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_160]), ['final']). 3.35/3.53 cnf(c_0_282, plain, (X1=X2|~ssItem(X1)|~ssItem(X2)|~leq(X1,X2)|~leq(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_161]), ['final']). 3.35/3.53 cnf(c_0_283, plain, (X1=X2|~ssList(X1)|~ssList(X2)|~segmentP(X1,X2)|~segmentP(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_162]), ['final']). 3.35/3.53 cnf(c_0_284, plain, (X1=X2|~ssList(X1)|~ssList(X2)|~frontsegP(X2,X1)|~frontsegP(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_163]), ['final']). 3.35/3.53 cnf(c_0_285, plain, (X1=X2|~ssList(X1)|~ssList(X2)|~rearsegP(X1,X2)|~rearsegP(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_164]), ['final']). 3.35/3.53 cnf(c_0_286, plain, (tl(cons(X2,X1))=X1|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_165]), ['final']). 3.35/3.53 cnf(c_0_287, plain, (X1=X2|neq(X1,X2)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_112]), ['final']). 3.35/3.53 cnf(c_0_288, plain, (strictorderedP(X1)|nil=X1|~strictorderedP(cons(X2,X1))|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_144]), ['final']). 3.35/3.53 cnf(c_0_289, plain, (X1=cons(esk1_1(X1),nil)|~singletonP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_111]), ['final']). 3.35/3.53 cnf(c_0_290, plain, (ssItem(esk32_1(X1))|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_291, plain, (ssItem(esk31_1(X1))|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_292, plain, (ssItem(esk16_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_293, plain, (ssItem(esk15_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_294, plain, (ssItem(esk23_1(X1))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_295, plain, (ssItem(esk22_1(X1))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_296, plain, (singletonP(cons(X1,nil))|~ssItem(X1)|~ssList(cons(X1,nil))), inference(er,[status(thm)],[c_0_166]), ['final']). 3.35/3.53 cnf(c_0_297, plain, (ssList(cons(X2,X1))|~ssList(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_167]), ['final']). 3.35/3.53 cnf(c_0_298, plain, (X1=X2|neq(X2,X1)|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_113]), ['final']). 3.35/3.53 cnf(c_0_299, plain, (ssItem(esk43_1(X1))|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_300, plain, (ssItem(esk5_1(X1))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_301, plain, (ssItem(esk4_1(X1))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_302, plain, (ssItem(esk38_1(X1))|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_303, plain, (ssItem(esk37_1(X1))|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_304, plain, (ssItem(esk42_1(X1))|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_305, plain, (ssItem(esk10_1(X1))|equalelemsP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_306, plain, (ssList(esk35_1(X1))|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_307, plain, (ssList(esk34_1(X1))|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_308, plain, (ssList(esk33_1(X1))|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_309, plain, (ssList(esk19_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_310, plain, (ssList(esk18_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_311, plain, (ssItem(esk9_1(X1))|equalelemsP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_312, plain, (gt(X2,X1)|~lt(X1,X2)|~ssItem(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_168]), ['final']). 3.35/3.53 cnf(c_0_313, plain, (geq(X2,X1)|~leq(X1,X2)|~ssItem(X1)|~ssItem(X2)), inference(split_conjunct,[status(thm)],[c_0_169]), ['final']). 3.35/3.53 cnf(c_0_314, plain, (strictorderedP(X1)|~lt(esk42_1(X1),esk43_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_315, plain, (ssList(esk17_1(X1))|cyclefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_99]), ['final']). 3.35/3.53 cnf(c_0_316, plain, (esk32_1(X1)=esk31_1(X1)|duplicatefreeP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_102]), ['final']). 3.35/3.53 cnf(c_0_317, plain, (ssList(esk26_1(X1))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_318, plain, (ssList(esk25_1(X1))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_319, plain, (ssList(esk24_1(X1))|totalorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_320, plain, (ssList(esk8_1(X1))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_321, plain, (duplicatefreeP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_170]), ['final']). 3.35/3.53 cnf(c_0_322, plain, (totalorderedP(X1)|~leq(esk22_1(X1),esk23_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_101]), ['final']). 3.35/3.53 cnf(c_0_323, plain, (strictorderP(X1)|~lt(esk5_1(X1),esk4_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_324, plain, (strictorderP(X1)|~lt(esk4_1(X1),esk5_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_325, plain, (totalorderP(X1)|~leq(esk38_1(X1),esk37_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_326, plain, (cyclefreeP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_171]), ['final']). 3.35/3.53 cnf(c_0_327, plain, (ssItem(esk29_1(X1))|nil=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_172]), ['final']). 3.35/3.53 cnf(c_0_328, plain, (ssList(esk7_1(X1))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_329, plain, (ssList(esk6_1(X1))|strictorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_98]), ['final']). 3.35/3.53 cnf(c_0_330, plain, (ssList(esk41_1(X1))|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_331, plain, (ssList(esk40_1(X1))|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_332, plain, (totalorderedP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_173]), ['final']). 3.35/3.53 cnf(c_0_333, plain, (totalorderP(X1)|~leq(esk37_1(X1),esk38_1(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_334, plain, (lt(X2,X1)|~gt(X1,X2)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_168]), ['final']). 3.35/3.53 cnf(c_0_335, plain, (leq(X1,X2)|~lt(X1,X2)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_174]), ['final']). 3.35/3.53 cnf(c_0_336, plain, (leq(X2,X1)|~geq(X1,X2)|~ssItem(X2)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_169]), ['final']). 3.35/3.53 cnf(c_0_337, plain, (strictorderP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_175]), ['final']). 3.35/3.53 cnf(c_0_338, plain, (ssItem(esk28_1(X1))|X1=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_159]), ['final']). 3.35/3.53 cnf(c_0_339, plain, (ssList(esk39_1(X1))|totalorderP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_97]), ['final']). 3.35/3.53 cnf(c_0_340, plain, (ssList(esk12_1(X1))|equalelemsP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_341, plain, (ssList(esk11_1(X1))|equalelemsP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_342, plain, (nil=X1|nil!=app(X2,X1)|~ssList(X1)|~ssList(X2)), inference(split_conjunct,[status(thm)],[c_0_115]), ['final']). 3.35/3.53 cnf(c_0_343, plain, (totalorderP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_176]), ['final']). 3.35/3.53 cnf(c_0_344, plain, (ssItem(esk1_1(X1))|~singletonP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_111]), ['final']). 3.35/3.53 cnf(c_0_345, plain, (~ssItem(X1)|~ssItem(X2)|~gt(X1,X2)|~gt(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_177]), ['final']). 3.35/3.53 cnf(c_0_346, plain, (~ssItem(X1)|~ssItem(X2)|~lt(X1,X2)|~lt(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_178]), ['final']). 3.35/3.53 cnf(c_0_347, plain, (equalelemsP(X1)|esk10_1(X1)!=esk9_1(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_104]), ['final']). 3.35/3.53 cnf(c_0_348, plain, (equalelemsP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_179]), ['final']). 3.35/3.53 cnf(c_0_349, plain, (X1=nil|ssItem(hd(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_180]), ['final']). 3.35/3.53 cnf(c_0_350, plain, (X1=nil|nil!=app(X1,X2)|~ssList(X2)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_115]), ['final']). 3.35/3.53 cnf(c_0_351, plain, (ssList(esk46_1(X1))|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_352, plain, (ssList(esk45_1(X1))|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_353, plain, (ssList(esk44_1(X1))|strictorderedP(X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_100]), ['final']). 3.35/3.53 cnf(c_0_354, plain, (nil=X1|ssList(tl(X1))|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_181]), ['final']). 3.35/3.53 cnf(c_0_355, plain, (~neq(X1,X1)|~ssItem(X1)), inference(er,[status(thm)],[c_0_182]), ['final']). 3.35/3.53 cnf(c_0_356, plain, (ssList(esk47_1(X1))|X1=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_183]), ['final']). 3.35/3.53 cnf(c_0_357, plain, (hd(X1)=esk29_1(X1)|nil=X1|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_172]), ['final']). 3.35/3.53 cnf(c_0_358, plain, (ssList(esk27_1(X1))|X1=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_159]), ['final']). 3.35/3.53 cnf(c_0_359, plain, (strictorderedP(cons(X1,nil))|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_184]), ['final']). 3.35/3.53 cnf(c_0_360, plain, (X1=app(nil,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_185]), ['final']). 3.35/3.53 cnf(c_0_361, plain, (~neq(X1,X1)|~ssList(X1)), inference(er,[status(thm)],[c_0_186]), ['final']). 3.35/3.53 cnf(c_0_362, plain, (geq(X1,X1)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_187]), ['final']). 3.35/3.53 cnf(c_0_363, plain, (frontsegP(X1,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_188]), ['final']). 3.35/3.53 cnf(c_0_364, plain, (X1=app(X1,nil)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_189]), ['final']). 3.35/3.53 cnf(c_0_365, plain, (nil=X1|~rearsegP(nil,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_116]), ['final']). 3.35/3.53 cnf(c_0_366, plain, (X1=nil|~frontsegP(nil,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_117]), ['final']). 3.35/3.53 cnf(c_0_367, plain, (segmentP(X1,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_190]), ['final']). 3.35/3.53 cnf(c_0_368, plain, (frontsegP(X1,nil)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_191]), ['final']). 3.35/3.53 cnf(c_0_369, plain, (leq(X1,X1)|~ssItem(X1)), inference(split_conjunct,[status(thm)],[c_0_192]), ['final']). 3.35/3.53 cnf(c_0_370, plain, (rearsegP(X1,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_193]), ['final']). 3.35/3.53 cnf(c_0_371, plain, (~ssList(X1)|~ssItem(X2)|nil!=cons(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_194]), ['final']). 3.35/3.53 cnf(c_0_372, plain, (~ssList(X1)|~ssItem(X2)|X1!=cons(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_195]), ['final']). 3.35/3.53 cnf(c_0_373, plain, (rearsegP(X1,nil)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_196]), ['final']). 3.35/3.53 cnf(c_0_374, plain, (tl(X1)=esk47_1(X1)|X1=nil|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_183]), ['final']). 3.35/3.53 cnf(c_0_375, plain, (nil=X1|~segmentP(nil,X1)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_118]), ['final']). 3.35/3.53 cnf(c_0_376, plain, (segmentP(X1,nil)|~ssList(X1)), inference(split_conjunct,[status(thm)],[c_0_197]), ['final']). 3.35/3.53 cnf(c_0_377, negated_conjecture, (singletonP(esk50_0)|~neq(esk51_0,nil)), inference(split_conjunct,[status(thm)],[c_0_114]), ['final']). 3.35/3.53 cnf(c_0_378, plain, (~ssItem(X1)|~memberP(nil,X1)), inference(split_conjunct,[status(thm)],[c_0_198]), ['final']). 3.35/3.53 cnf(c_0_379, plain, (~ssItem(X1)|~lt(X1,X1)), inference(split_conjunct,[status(thm)],[c_0_199]), ['final']). 3.35/3.53 cnf(c_0_380, plain, (esk13_0!=esk14_0), inference(split_conjunct,[status(thm)],[c_0_200]), ['final']). 3.35/3.53 cnf(c_0_381, negated_conjecture, (~strictorderedP(esk50_0)), inference(rw,[status(thm)],[c_0_201, c_0_202]), ['final']). 3.35/3.53 cnf(c_0_382, plain, (~singletonP(nil)), inference(split_conjunct,[status(thm)],[c_0_203]), ['final']). 3.35/3.53 cnf(c_0_383, plain, (app(nil,nil)=nil), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_204])]), c_0_205])]), ['final']). 3.35/3.53 cnf(c_0_384, plain, (rearsegP(nil,nil)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_206]), c_0_205])]), ['final']). 3.35/3.53 cnf(c_0_385, plain, (frontsegP(nil,nil)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_207]), c_0_205])]), ['final']). 3.35/3.53 cnf(c_0_386, plain, (segmentP(nil,nil)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_208]), c_0_205])]), ['final']). 3.35/3.53 cnf(c_0_387, plain, (duplicatefreeP(nil)), inference(split_conjunct,[status(thm)],[ax72]), ['final']). 3.35/3.53 cnf(c_0_388, plain, (cyclefreeP(nil)), inference(split_conjunct,[status(thm)],[ax60]), ['final']). 3.35/3.53 cnf(c_0_389, plain, (totalorderedP(nil)), inference(split_conjunct,[status(thm)],[ax66]), ['final']). 3.35/3.53 cnf(c_0_390, plain, (strictorderP(nil)), inference(split_conjunct,[status(thm)],[ax64]), ['final']). 3.35/3.53 cnf(c_0_391, plain, (ssItem(esk14_0)), inference(split_conjunct,[status(thm)],[c_0_200]), ['final']). 3.35/3.53 cnf(c_0_392, plain, (totalorderP(nil)), inference(split_conjunct,[status(thm)],[ax62]), ['final']). 3.35/3.53 cnf(c_0_393, plain, (ssItem(esk13_0)), inference(split_conjunct,[status(thm)],[c_0_200]), ['final']). 3.35/3.53 cnf(c_0_394, plain, (equalelemsP(nil)), inference(split_conjunct,[status(thm)],[ax74]), ['final']). 3.35/3.53 cnf(c_0_395, negated_conjecture, (segmentP(esk51_0,esk50_0)), inference(split_conjunct,[status(thm)],[c_0_114]), ['final']). 3.35/3.53 cnf(c_0_396, plain, (strictorderedP(nil)), inference(split_conjunct,[status(thm)],[ax69]), ['final']). 3.35/3.53 cnf(c_0_397, negated_conjecture, (ssList(esk51_0)), inference(rw,[status(thm)],[c_0_209, c_0_210]), ['final']). 3.35/3.53 cnf(c_0_398, negated_conjecture, (ssList(esk50_0)), inference(rw,[status(thm)],[c_0_211, c_0_202]), ['final']). 3.35/3.53 3.35/3.53 # End clausification derivation 3.35/3.53 # Begin listing active clauses obtained from FOF to CNF conversion 3.35/3.53 cnf(i_0_192, negated_conjecture, (esk48_0=esk50_0)). 3.35/3.53 cnf(i_0_196, negated_conjecture, (esk49_0=esk51_0)). 3.35/3.53 cnf(i_0_34, plain, (ssList(nil))). 3.35/3.53 cnf(i_0_199, negated_conjecture, (ssList(esk50_0))). 3.35/3.53 cnf(i_0_198, negated_conjecture, (ssList(esk51_0))). 3.35/3.53 cnf(i_0_134, plain, (strictorderedP(nil))). 3.35/3.53 cnf(i_0_195, negated_conjecture, (segmentP(esk51_0,esk50_0))). 3.35/3.53 cnf(i_0_8, plain, (equalelemsP(nil))). 3.35/3.53 cnf(i_0_50, plain, (ssItem(esk13_0))). 3.35/3.53 cnf(i_0_19, plain, (totalorderP(nil))). 3.35/3.53 cnf(i_0_49, plain, (ssItem(esk14_0))). 3.35/3.53 cnf(i_0_104, plain, (strictorderP(nil))). 3.35/3.53 cnf(i_0_47, plain, (totalorderedP(nil))). 3.35/3.53 cnf(i_0_60, plain, (cyclefreeP(nil))). 3.35/3.53 cnf(i_0_162, plain, (duplicatefreeP(nil))). 3.35/3.53 cnf(i_0_111, plain, (segmentP(nil,nil))). 3.35/3.53 cnf(i_0_78, plain, (frontsegP(nil,nil))). 3.35/3.53 cnf(i_0_1, plain, (rearsegP(nil,nil))). 3.35/3.53 cnf(i_0_144, plain, (app(nil,nil)=nil)). 3.35/3.53 cnf(i_0_105, plain, (~singletonP(nil))). 3.35/3.53 cnf(i_0_194, negated_conjecture, (~strictorderedP(esk50_0))). 3.35/3.53 cnf(i_0_48, plain, (esk14_0!=esk13_0)). 3.35/3.53 cnf(i_0_59, plain, (~lt(X1,X1)|~ssItem(X1))). 3.35/3.53 cnf(i_0_179, plain, (~memberP(nil,X1)|~ssItem(X1))). 3.35/3.53 cnf(i_0_193, negated_conjecture, (singletonP(esk50_0)|~neq(esk51_0,nil))). 3.35/3.53 cnf(i_0_95, plain, (segmentP(X1,nil)|~ssList(X1))). 3.35/3.53 cnf(i_0_112, plain, (nil=X1|~segmentP(nil,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_186, plain, (esk47_1(X1)=tl(X1)|X1=nil|~ssList(X1))). 3.35/3.53 cnf(i_0_160, plain, (rearsegP(X1,nil)|~ssList(X1))). 3.35/3.53 cnf(i_0_116, plain, (cons(X1,X2)!=X2|~ssItem(X1)|~ssList(X2))). 3.35/3.53 cnf(i_0_184, plain, (cons(X1,X2)!=nil|~ssItem(X1)|~ssList(X2))). 3.35/3.53 cnf(i_0_29, plain, (rearsegP(X1,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_3, plain, (leq(X1,X1)|~ssItem(X1))). 3.35/3.53 cnf(i_0_4, plain, (frontsegP(X1,nil)|~ssList(X1))). 3.35/3.53 cnf(i_0_81, plain, (segmentP(X1,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_77, plain, (X1=nil|~frontsegP(nil,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_2, plain, (nil=X1|~ssList(X1)|~rearsegP(nil,X1))). 3.35/3.53 cnf(i_0_143, plain, (app(X1,nil)=X1|~ssList(X1))). 3.35/3.53 cnf(i_0_148, plain, (frontsegP(X1,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_158, plain, (geq(X1,X1)|~ssItem(X1))). 3.35/3.53 cnf(i_0_5, plain, (~neq(X1,X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_56, plain, (app(nil,X1)=X1|~ssList(X1))). 3.35/3.53 cnf(i_0_107, plain, (strictorderedP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_99, plain, (X1=nil|ssList(esk27_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_117, plain, (esk29_1(X1)=hd(X1)|nil=X1|~ssList(X1))). 3.35/3.53 cnf(i_0_185, plain, (X1=nil|ssList(esk47_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_141, plain, (~neq(X1,X1)|~ssItem(X1))). 3.35/3.53 cnf(i_0_119, plain, (nil=X1|ssList(tl(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_173, plain, (strictorderedP(X1)|ssList(esk44_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_172, plain, (strictorderedP(X1)|ssList(esk45_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_171, plain, (strictorderedP(X1)|ssList(esk46_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_146, plain, (X1=nil|app(X1,X2)!=nil|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_55, plain, (X1=nil|ssItem(hd(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_39, plain, (equalelemsP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_41, plain, (equalelemsP(X1)|esk10_1(X1)!=esk9_1(X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_190, plain, (~lt(X1,X2)|~lt(X2,X1)|~ssItem(X1)|~ssItem(X2))). 3.35/3.53 cnf(i_0_114, plain, (~gt(X1,X2)|~gt(X2,X1)|~ssItem(X1)|~ssItem(X2))). 3.35/3.53 cnf(i_0_10, plain, (ssItem(esk1_1(X1))|~singletonP(X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_140, plain, (totalorderP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_145, plain, (nil=X1|app(X2,X1)!=nil|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_44, plain, (equalelemsP(X1)|ssList(esk11_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_43, plain, (equalelemsP(X1)|ssList(esk12_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_155, plain, (totalorderP(X1)|ssList(esk39_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_98, plain, (X1=nil|ssItem(esk28_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_72, plain, (strictorderP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_108, plain, (leq(X1,X2)|~geq(X2,X1)|~ssItem(X1)|~ssItem(X2))). 3.35/3.53 cnf(i_0_177, plain, (leq(X1,X2)|~lt(X1,X2)|~ssItem(X2)|~ssItem(X1))). 3.35/3.53 cnf(i_0_53, plain, (lt(X1,X2)|~gt(X2,X1)|~ssItem(X1)|~ssItem(X2))). 3.35/3.53 cnf(i_0_150, plain, (totalorderP(X1)|~leq(esk37_1(X1),esk38_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_30, plain, (totalorderedP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_154, plain, (totalorderP(X1)|ssList(esk40_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_153, plain, (totalorderP(X1)|ssList(esk41_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_25, plain, (strictorderP(X1)|ssList(esk6_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_24, plain, (strictorderP(X1)|ssList(esk7_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_118, plain, (nil=X1|ssItem(esk29_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_100, plain, (cyclefreeP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_151, plain, (totalorderP(X1)|~leq(esk38_1(X1),esk37_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_20, plain, (strictorderP(X1)|~lt(esk4_1(X1),esk5_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_21, plain, (strictorderP(X1)|~lt(esk5_1(X1),esk4_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_83, plain, (totalorderedP(X1)|~leq(esk22_1(X1),esk23_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_103, plain, (duplicatefreeP(cons(X1,nil))|~ssItem(X1))). 3.35/3.53 cnf(i_0_23, plain, (strictorderP(X1)|ssList(esk8_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_87, plain, (totalorderedP(X1)|ssList(esk24_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_86, plain, (totalorderedP(X1)|ssList(esk25_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_85, plain, (totalorderedP(X1)|ssList(esk26_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_126, plain, (esk31_1(X1)=esk32_1(X1)|duplicatefreeP(X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_66, plain, (cyclefreeP(X1)|ssList(esk17_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_169, plain, (strictorderedP(X1)|~lt(esk42_1(X1),esk43_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_109, plain, (geq(X1,X2)|~ssItem(X1)|~ssItem(X2)|~leq(X2,X1))). 3.35/3.53 cnf(i_0_54, plain, (gt(X1,X2)|~lt(X2,X1)|~ssItem(X1)|~ssItem(X2))). 3.35/3.53 cnf(i_0_46, plain, (equalelemsP(X1)|ssItem(esk9_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_65, plain, (cyclefreeP(X1)|ssList(esk18_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_64, plain, (cyclefreeP(X1)|ssList(esk19_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_130, plain, (duplicatefreeP(X1)|ssList(esk33_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_129, plain, (duplicatefreeP(X1)|ssList(esk34_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_128, plain, (duplicatefreeP(X1)|ssList(esk35_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_45, plain, (equalelemsP(X1)|ssItem(esk10_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_175, plain, (strictorderedP(X1)|ssItem(esk42_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_157, plain, (totalorderP(X1)|ssItem(esk37_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_156, plain, (totalorderP(X1)|ssItem(esk38_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_27, plain, (strictorderP(X1)|ssItem(esk4_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_26, plain, (strictorderP(X1)|ssItem(esk5_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_174, plain, (strictorderedP(X1)|ssItem(esk43_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_13, plain, (ssList(app(X1,X2))|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_6, plain, (X1=X2|neq(X2,X1)|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_18, plain, (ssList(cons(X1,X2))|~ssItem(X1)|~ssList(X2))). 3.35/3.53 cnf(i_0_12, plain, (singletonP(cons(X1,nil))|~ssItem(X1)|~ssList(cons(X1,nil)))). 3.35/3.53 cnf(i_0_89, plain, (totalorderedP(X1)|ssItem(esk22_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_88, plain, (totalorderedP(X1)|ssItem(esk23_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_68, plain, (cyclefreeP(X1)|ssItem(esk15_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_67, plain, (cyclefreeP(X1)|ssItem(esk16_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_132, plain, (duplicatefreeP(X1)|ssItem(esk31_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_131, plain, (duplicatefreeP(X1)|ssItem(esk32_1(X1))|~ssList(X1))). 3.35/3.53 cnf(i_0_11, plain, (cons(esk1_1(X1),nil)=X1|~singletonP(X1)|~ssList(X1))). 3.35/3.53 cnf(i_0_165, plain, (nil=X1|strictorderedP(X1)|~strictorderedP(cons(X2,X1))|~ssItem(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_142, plain, (X1=X2|neq(X1,X2)|~ssItem(X2)|~ssItem(X1))). 3.35/3.53 cnf(i_0_7, plain, (tl(cons(X1,X2))=X2|~ssItem(X1)|~ssList(X2))). 3.35/3.53 cnf(i_0_102, plain, (X1=X2|~ssList(X2)|~ssList(X1)|~rearsegP(X2,X1)|~rearsegP(X1,X2))). 3.35/3.53 cnf(i_0_9, plain, (X1=X2|~frontsegP(X2,X1)|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_33, plain, (X1=X2|~segmentP(X2,X1)|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_183, plain, (X1=X2|~ssItem(X2)|~ssItem(X1)|~leq(X2,X1)|~leq(X1,X2))). 3.35/3.53 cnf(i_0_115, plain, (hd(cons(X1,X2))=X1|~ssItem(X1)|~ssList(X2))). 3.35/3.53 cnf(i_0_14, plain, (ssList(esk2_2(X1,X2))|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_16, plain, (ssList(esk3_2(X1,X2))|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.53 cnf(i_0_97, plain, (cons(esk28_1(X1),esk27_1(X1))=X1|X1=nil|~ssList(X1))). 3.35/3.53 cnf(i_0_159, plain, (cons(hd(X1),tl(X1))=X1|nil=X1|~ssList(X1))). 3.35/3.53 cnf(i_0_32, plain, (X1=X2|~geq(X2,X1)|~geq(X1,X2)|~ssItem(X2)|~ssItem(X1))). 3.35/3.53 cnf(i_0_74, plain, (ssList(esk20_2(X1,X2))|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_75, plain, (ssList(esk21_2(X1,X2))|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_62, plain, (cyclefreeP(X1)|leq(esk15_1(X1),esk16_1(X1))|~ssList(X1))). 3.35/3.54 cnf(i_0_121, plain, (ssList(esk30_2(X1,X2))|~frontsegP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_138, plain, (ssList(esk36_2(X1,X2))|~ssList(X2)|~ssList(X1)|~rearsegP(X1,X2))). 3.35/3.54 cnf(i_0_92, plain, (X1=nil|totalorderedP(X1)|~totalorderedP(cons(X2,X1))|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_61, plain, (cyclefreeP(X1)|leq(esk16_1(X1),esk15_1(X1))|~ssList(X1))). 3.35/3.54 cnf(i_0_125, plain, (hd(app(X1,X2))=hd(X1)|X1=nil|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_106, plain, (X1=X2|lt(X1,X2)|~ssItem(X2)|~ssItem(X1)|~leq(X1,X2))). 3.35/3.54 cnf(i_0_136, plain, (X1=X2|app(X3,X1)!=app(X3,X2)|~ssList(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_57, plain, (X1=X2|app(X1,X3)!=app(X2,X3)|~ssList(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_71, plain, (app(cons(X1,nil),X2)=cons(X1,X2)|~ssItem(X1)|~ssList(X2))). 3.35/3.54 cnf(i_0_96, plain, (segmentP(X1,X2)|~segmentP(X3,X2)|~segmentP(X1,X3)|~ssList(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_164, plain, (X1=nil|strictorderedP(cons(X2,X1))|~strictorderedP(X1)|~lt(X2,hd(X1))|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_123, plain, (frontsegP(app(X1,X2),X1)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_147, plain, (tl(app(X1,X2))=app(tl(X1),X2)|nil=X1|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_80, plain, (X1=X2|cons(X3,X1)!=cons(X4,X2)|~ssItem(X4)|~ssItem(X3)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_79, plain, (X1=X2|cons(X1,X3)!=cons(X2,X4)|~ssItem(X2)|~ssItem(X1)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_139, plain, (rearsegP(app(X1,X2),X2)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_189, plain, (memberP(cons(X1,X2),X1)|~ssItem(X1)|~ssList(X2))). 3.35/3.54 cnf(i_0_166, plain, (nil=X1|lt(X2,hd(X1))|~strictorderedP(cons(X2,X1))|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_70, plain, (rearsegP(app(X1,X2),X3)|~ssList(X1)|~ssList(X3)|~ssList(X2)|~rearsegP(X2,X3))). 3.35/3.54 cnf(i_0_51, plain, (frontsegP(app(X1,X2),X3)|~frontsegP(X1,X3)|~ssList(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_93, plain, (X1=nil|leq(X2,hd(X1))|~totalorderedP(cons(X2,X1))|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_113, plain, (X1=nil|X2=nil|X1=X2|tl(X1)!=tl(X2)|hd(X1)!=hd(X2)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_122, plain, (app(X1,esk30_2(X2,X1))=X2|~frontsegP(X2,X1)|~ssList(X1)|~ssList(X2))). 3.35/3.54 cnf(i_0_38, plain, (X1=X2|~frontsegP(cons(X1,X3),cons(X2,X4))|~ssItem(X2)|~ssItem(X1)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_31, plain, (rearsegP(X1,X2)|~ssList(X2)|~ssList(X3)|~ssList(X1)|~rearsegP(X3,X2)|~rearsegP(X1,X3))). 3.35/3.54 cnf(i_0_120, plain, (leq(X1,X2)|~ssItem(X2)|~ssItem(X3)|~ssItem(X1)|~leq(X3,X2)|~leq(X1,X3))). 3.35/3.54 cnf(i_0_135, plain, (frontsegP(X1,X2)|~frontsegP(X3,X2)|~frontsegP(X1,X3)|~ssList(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_137, plain, (app(esk36_2(X1,X2),X2)=X1|~ssList(X2)|~ssList(X1)|~rearsegP(X1,X2))). 3.35/3.54 cnf(i_0_182, plain, (memberP(app(X1,X2),X3)|~memberP(X2,X3)|~ssItem(X3)|~ssList(X1)|~ssList(X2))). 3.35/3.54 cnf(i_0_181, plain, (memberP(app(X1,X2),X3)|~memberP(X1,X3)|~ssItem(X3)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_91, plain, (nil=X1|totalorderedP(cons(X2,X1))|~totalorderedP(X1)|~ssItem(X2)|~leq(X2,hd(X1))|~ssList(X1))). 3.35/3.54 cnf(i_0_17, plain, (segmentP(app(app(X1,X2),X3),X2)|~ssList(app(app(X1,X2),X3))|~ssList(X2)|~ssList(X1)|~ssList(X3))). 3.35/3.54 cnf(i_0_188, plain, (memberP(cons(X1,X2),X3)|~memberP(X2,X3)|~ssItem(X1)|~ssItem(X3)|~ssList(X2))). 3.35/3.54 cnf(i_0_161, plain, (lt(X1,X2)|~lt(X3,X2)|~ssItem(X2)|~ssItem(X3)|~ssItem(X1)|~leq(X1,X3))). 3.35/3.54 cnf(i_0_101, plain, (lt(X1,X2)|~lt(X3,X2)|~lt(X1,X3)|~ssItem(X2)|~ssItem(X3)|~ssItem(X1))). 3.35/3.54 cnf(i_0_52, plain, (geq(X1,X2)|~geq(X3,X2)|~geq(X1,X3)|~ssItem(X2)|~ssItem(X3)|~ssItem(X1))). 3.35/3.54 cnf(i_0_124, plain, (gt(X1,X2)|~gt(X3,X2)|~gt(X1,X3)|~ssItem(X2)|~ssItem(X3)|~ssItem(X1))). 3.35/3.54 cnf(i_0_110, plain, (app(app(X1,X2),X3)=app(X1,app(X2,X3))|~ssList(X3)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_187, plain, (X1=X2|memberP(X3,X2)|~memberP(cons(X1,X3),X2)|~ssItem(X2)|~ssItem(X1)|~ssList(X3))). 3.35/3.54 cnf(i_0_35, plain, (segmentP(app(app(X1,X2),X3),X4)|~segmentP(X2,X4)|~ssList(X3)|~ssList(X1)|~ssList(X4)|~ssList(X2))). 3.35/3.54 cnf(i_0_180, plain, (memberP(X1,X2)|memberP(X3,X2)|~memberP(app(X1,X3),X2)|~ssItem(X2)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_73, plain, (memberP(app(X1,cons(X2,X3)),X2)|~ssItem(X2)|~ssList(app(X1,cons(X2,X3)))|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_58, plain, (app(cons(X1,X2),X3)=cons(X1,app(X2,X3))|~ssItem(X1)|~ssList(X2)|~ssList(X3))). 3.35/3.54 cnf(i_0_37, plain, (frontsegP(X1,X2)|~frontsegP(cons(X3,X1),cons(X4,X2))|~ssItem(X4)|~ssItem(X3)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_40, plain, (X1=X2|~equalelemsP(app(X3,cons(X1,cons(X2,X4))))|~ssItem(X2)|~ssItem(X1)|~ssList(app(X3,cons(X1,cons(X2,X4))))|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_15, plain, (app(app(esk2_2(X1,X2),X2),esk3_2(X1,X2))=X1|~segmentP(X1,X2)|~ssList(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_36, plain, (frontsegP(cons(X1,X2),cons(X1,X3))|~frontsegP(X2,X3)|~ssItem(X1)|~ssList(X3)|~ssList(X2))). 3.35/3.54 cnf(i_0_76, plain, (app(esk20_2(X1,X2),cons(X2,esk21_2(X1,X2)))=X1|~memberP(X1,X2)|~ssItem(X2)|~ssList(X1))). 3.35/3.54 cnf(i_0_133, plain, (~duplicatefreeP(app(app(X1,cons(X2,X3)),cons(X2,X4)))|~ssItem(X2)|~ssList(app(app(X1,cons(X2,X3)),cons(X2,X4)))|~ssList(X4)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_42, plain, (app(esk11_1(X1),cons(esk9_1(X1),cons(esk10_1(X1),esk12_1(X1))))=X1|equalelemsP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_170, plain, (app(app(esk44_1(X1),cons(esk42_1(X1),esk45_1(X1))),cons(esk43_1(X1),esk46_1(X1)))=X1|strictorderedP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_82, plain, (leq(X1,X2)|~totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssItem(X2)|~ssItem(X1)|~ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_22, plain, (app(app(esk6_1(X1),cons(esk4_1(X1),esk7_1(X1))),cons(esk5_1(X1),esk8_1(X1)))=X1|strictorderP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_168, plain, (lt(X1,X2)|~strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssItem(X2)|~ssItem(X1)|~ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_84, plain, (app(app(esk24_1(X1),cons(esk22_1(X1),esk25_1(X1))),cons(esk23_1(X1),esk26_1(X1)))=X1|totalorderedP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_69, plain, (~cyclefreeP(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssItem(X4)|~ssItem(X2)|~leq(X4,X2)|~leq(X2,X4)|~ssList(app(app(X1,cons(X2,X3)),cons(X4,X5)))|~ssList(X5)|~ssList(X3)|~ssList(X1))). 3.35/3.54 cnf(i_0_63, plain, (app(app(esk17_1(X1),cons(esk15_1(X1),esk18_1(X1))),cons(esk16_1(X1),esk19_1(X1)))=X1|cyclefreeP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_28, plain, (lt(X1,X2)|lt(X2,X1)|~strictorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssItem(X1)|~ssItem(X2)|~ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_149, plain, (leq(X1,X2)|leq(X2,X1)|~totalorderP(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssItem(X1)|~ssItem(X2)|~ssList(app(app(X3,cons(X2,X4)),cons(X1,X5)))|~ssList(X5)|~ssList(X4)|~ssList(X3))). 3.35/3.54 cnf(i_0_127, plain, (app(app(esk33_1(X1),cons(esk31_1(X1),esk34_1(X1))),cons(esk32_1(X1),esk35_1(X1)))=X1|duplicatefreeP(X1)|~ssList(X1))). 3.35/3.54 cnf(i_0_152, plain, (app(app(esk39_1(X1),cons(esk37_1(X1),esk40_1(X1))),cons(esk38_1(X1),esk41_1(X1)))=X1|totalorderP(X1)|~ssList(X1))). 3.35/3.54 # End listing active clauses. There is an equivalent clause to each of these in the clausification! 3.35/3.54 # Begin printing tableau 3.35/3.54 # 2,0,0,1 x c 3.35/3.54 cnf(i_0_825401, plain, (strictorderedP(esk50_0))). 3.35/3.54 # 1,3,173,0 3.35/3.54 cnf(i_0_227, plain, (~strictorderedP(esk50_0))). 3.35/3.54 # 0,1,194,0 3.35/3.54 cnf(i_0_194, watchlist, (~strictorderedP(esk50_0))). 3.35/3.54 3.35/3.54 # 2,0,0,0 c s 3.35/3.54 cnf(i_0_825402, plain, (ssList(esk44_1(esk50_0)))). 3.35/3.54 # 1,3,173,0 3.35/3.54 cnf(i_0_227, plain, (~strictorderedP(esk50_0))). 3.35/3.54 # 0,1,194,0 3.35/3.54 cnf(i_0_194, watchlist, (~strictorderedP(esk50_0))). 3.35/3.54 3.35/3.54 # 2,0,0,0 c 3.35/3.54 cnf(i_0_825403, plain, (~ssList(esk50_0))). 3.35/3.54 # 1,3,173,0 3.35/3.54 cnf(i_0_227, plain, (~strictorderedP(esk50_0))). 3.35/3.54 # 0,1,194,0 3.35/3.54 cnf(i_0_194, watchlist, (~strictorderedP(esk50_0))). 3.35/3.54 3.35/3.54 # End printing tableau 3.35/3.54 # SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 3.35/3.54 # Branches closed with saturation will be marked with an "s" 3.35/3.54 # Proof search success! 3.35/3.54 # Exiting... 3.35/3.59 EOF