%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM665^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n080.star.cs.uiowa.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz % Memory : 32218.625MB % OS : Linux 3.10.0-693.2.2.el7.x86_64 % CPULimit : 300s % DateTime : Mon Jan 8 13:11:21 EST 2018 % Result : Theorem 0.43s % Output : Proof 0.43s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : NUM665^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n080.star.cs.uiowa.edu % 0.02/0.23 % Model : x86_64 x86_64 % 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.23 % Memory : 32218.625MB % 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.23 % CPULimit : 300 % 0.02/0.23 % DateTime : Fri Jan 5 12:13:05 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.26 Python 2.7.13 % 0.34/0.79 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24856ef0>, <kernel.Type object at 0x2b9a24b43b00>) of role type named nat_type % 0.34/0.79 Using role type % 0.34/0.79 Declaring nat:Type % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a248566c8>, <kernel.Constant object at 0x2b9a24856d88>) of role type named x % 0.34/0.79 Using role type % 0.34/0.79 Declaring x:nat % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24856f38>, <kernel.Constant object at 0x2b9a24b43cf8>) of role type named y % 0.34/0.79 Using role type % 0.34/0.79 Declaring y:nat % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24856d88>, <kernel.Constant object at 0x2b9a24b43a28>) of role type named z % 0.34/0.79 Using role type % 0.34/0.79 Declaring z:nat % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24856f38>, <kernel.DependentProduct object at 0x2b9a24b43cb0>) of role type named moreis % 0.34/0.79 Using role type % 0.34/0.79 Declaring moreis:(nat->(nat->Prop)) % 0.34/0.79 FOF formula ((moreis x) y) of role axiom named m % 0.34/0.79 A new axiom: ((moreis x) y) % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24856ef0>, <kernel.DependentProduct object at 0x2b9a24b43ea8>) of role type named some % 0.34/0.79 Using role type % 0.34/0.79 Declaring some:((nat->Prop)->Prop) % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24b43a28>, <kernel.DependentProduct object at 0x2b9a24b439e0>) of role type named diffprop % 0.34/0.79 Using role type % 0.34/0.79 Declaring diffprop:(nat->(nat->(nat->Prop))) % 0.34/0.79 FOF formula (some (fun (Xu:nat)=> (((diffprop y) z) Xu))) of role axiom named n % 0.34/0.79 A new axiom: (some (fun (Xu:nat)=> (((diffprop y) z) Xu))) % 0.34/0.79 FOF formula (<kernel.Constant object at 0x2b9a24b43a28>, <kernel.DependentProduct object at 0x2b9a24b439e0>) of role type named lessis % 0.34/0.79 Using role type % 0.34/0.79 Declaring lessis:(nat->(nat->Prop)) % 0.34/0.79 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->(((lessis Xy) Xz)->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))) of role axiom named satz16b % 0.34/0.79 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->(((lessis Xy) Xz)->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))) % 0.34/0.79 FOF formula (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))) of role axiom named satz13 % 0.34/0.79 A new axiom: (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))) % 0.34/0.79 FOF formula (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) of role conjecture named satz16c % 0.34/0.79 Conjecture to prove = (some (fun (Xu:nat)=> (((diffprop x) z) Xu))):Prop % 0.34/0.79 We need to prove ['(some (fun (Xu:nat)=> (((diffprop x) z) Xu)))'] % 0.34/0.79 Parameter nat:Type. % 0.34/0.79 Parameter x:nat. % 0.34/0.79 Parameter y:nat. % 0.34/0.79 Parameter z:nat. % 0.34/0.79 Parameter moreis:(nat->(nat->Prop)). % 0.34/0.79 Axiom m:((moreis x) y). % 0.34/0.79 Parameter some:((nat->Prop)->Prop). % 0.34/0.79 Parameter diffprop:(nat->(nat->(nat->Prop))). % 0.34/0.79 Axiom n:(some (fun (Xu:nat)=> (((diffprop y) z) Xu))). % 0.34/0.79 Parameter lessis:(nat->(nat->Prop)). % 0.34/0.79 Axiom satz16b:(forall (Xx:nat) (Xy:nat) (Xz:nat), ((some (fun (Xv:nat)=> (((diffprop Xy) Xx) Xv)))->(((lessis Xy) Xz)->(some (fun (Xv:nat)=> (((diffprop Xz) Xx) Xv)))))). % 0.34/0.79 Axiom satz13:(forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))). % 0.34/0.79 Trying to prove (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Found n:(some (fun (Xu:nat)=> (((diffprop y) z) Xu))) % 0.34/0.79 Found n as proof of (some (fun (Xv:nat)=> (((diffprop y) z) Xv))) % 0.34/0.79 Found m:((moreis x) y) % 0.34/0.79 Found m as proof of ((moreis x) y) % 0.34/0.79 Found (satz1300 m) as proof of ((lessis y) x) % 0.34/0.79 Found ((satz130 y) m) as proof of ((lessis y) x) % 0.34/0.79 Found (((satz13 x) y) m) as proof of ((lessis y) x) % 0.34/0.79 Found (((satz13 x) y) m) as proof of ((lessis y) x) % 0.34/0.79 Found ((satz16b000 n) (((satz13 x) y) m)) as proof of (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Found (((satz16b00 y) n) (((satz13 x) y) m)) as proof of (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Found ((((fun (Xy:nat)=> ((satz16b0 Xy) x)) y) n) (((satz13 x) y) m)) as proof of (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Found ((((fun (Xy:nat)=> (((satz16b z) Xy) x)) y) n) (((satz13 x) y) m)) as proof of (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Found ((((fun (Xy:nat)=> (((satz16b z) Xy) x)) y) n) (((satz13 x) y) m)) as proof of (some (fun (Xu:nat)=> (((diffprop x) z) Xu))) % 0.34/0.79 Got proof ((((fun (Xy:nat)=> (((satz16b z) Xy) x)) y) n) (((satz13 x) y) m)) % 0.43/0.79 Time elapsed = 0.065128s % 0.43/0.79 node=17 cost=437.000000 depth=9 % 0.43/0.79:::::::::::::::::::::: % 0.43/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.43/0.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.43/0.79 ((((fun (Xy:nat)=> (((satz16b z) Xy) x)) y) n) (((satz13 x) y) m)) % 0.43/0.79 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------