%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM690^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n151.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 13:11:27 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 : NUM690^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n151.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 12:52:33 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.24 Python 2.7.13 % 0.43/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11ea8>, <kernel.Type object at 0x2af6b6f72fc8>) of role type named nat_type % 0.43/0.68 Using role type % 0.43/0.68 Declaring nat:Type % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11200>, <kernel.Constant object at 0x2af6b6c11998>) of role type named x % 0.43/0.68 Using role type % 0.43/0.68 Declaring x:nat % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11098>, <kernel.Constant object at 0x2af6b6f723f8>) of role type named y % 0.43/0.68 Using role type % 0.43/0.68 Declaring y:nat % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11998>, <kernel.Constant object at 0x2af6b6f72f80>) of role type named z % 0.43/0.68 Using role type % 0.43/0.68 Declaring z:nat % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11098>, <kernel.Constant object at 0x2af6b6f729e0>) of role type named u % 0.43/0.68 Using role type % 0.43/0.68 Declaring u:nat % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11ea8>, <kernel.DependentProduct object at 0x2af6b6f72638>) of role type named some % 0.43/0.68 Using role type % 0.43/0.68 Declaring some:((nat->Prop)->Prop) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6c11ea8>, <kernel.DependentProduct object at 0x2af6b6f723b0>) of role type named diffprop % 0.43/0.68 Using role type % 0.43/0.68 Declaring diffprop:(nat->(nat->(nat->Prop))) % 0.43/0.68 FOF formula (some (fun (Xv:nat)=> (((diffprop y) x) Xv))) of role axiom named l % 0.43/0.68 A new axiom: (some (fun (Xv:nat)=> (((diffprop y) x) Xv))) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6f72ea8>, <kernel.DependentProduct object at 0x2af6b6f723b0>) of role type named lessis % 0.43/0.68 Using role type % 0.43/0.68 Declaring lessis:(nat->(nat->Prop)) % 0.43/0.68 FOF formula ((lessis z) u) of role axiom named k % 0.43/0.68 A new axiom: ((lessis z) u) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6f72b00>, <kernel.DependentProduct object at 0x2af6b6f72e60>) of role type named pl % 0.43/0.68 Using role type % 0.43/0.68 Declaring pl:(nat->(nat->nat)) % 0.43/0.68 FOF formula (<kernel.Constant object at 0x2af6b6f72638>, <kernel.DependentProduct object at 0x2af6b6f72440>) of role type named moreis % 0.43/0.68 Using role type % 0.43/0.68 Declaring moreis:(nat->(nat->Prop)) % 0.43/0.68 FOF formula (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(((moreis Xz) Xu)->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0)))))) of role axiom named satz22b % 0.43/0.68 A new axiom: (forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(((moreis Xz) Xu)->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0)))))) % 0.43/0.68 FOF formula (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) of role axiom named satz14 % 0.43/0.68 A new axiom: (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) % 0.43/0.68 FOF formula (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) of role conjecture named satz22d % 0.43/0.68 Conjecture to prove = (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))):Prop % 0.43/0.68 We need to prove ['(some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv)))'] % 0.43/0.68 Parameter nat:Type. % 0.43/0.68 Parameter x:nat. % 0.43/0.68 Parameter y:nat. % 0.43/0.68 Parameter z:nat. % 0.43/0.68 Parameter u:nat. % 0.43/0.68 Parameter some:((nat->Prop)->Prop). % 0.43/0.68 Parameter diffprop:(nat->(nat->(nat->Prop))). % 0.43/0.68 Axiom l:(some (fun (Xv:nat)=> (((diffprop y) x) Xv))). % 0.43/0.68 Parameter lessis:(nat->(nat->Prop)). % 0.43/0.68 Axiom k:((lessis z) u). % 0.43/0.68 Parameter pl:(nat->(nat->nat)). % 0.43/0.68 Parameter moreis:(nat->(nat->Prop)). % 0.43/0.68 Axiom satz22b:(forall (Xx:nat) (Xy:nat) (Xz:nat) (Xu:nat), ((some (fun (Xu:nat)=> (((diffprop Xx) Xy) Xu)))->(((moreis Xz) Xu)->(some (fun (Xu_0:nat)=> (((diffprop ((pl Xx) Xz)) ((pl Xy) Xu)) Xu_0)))))). % 0.43/0.68 Axiom satz14:(forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))). % 0.43/0.68 Trying to prove (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found l:(some (fun (Xv:nat)=> (((diffprop y) x) Xv))) % 0.43/0.68 Found l as proof of (some (fun (Xu:nat)=> (((diffprop y) x) Xu))) % 0.43/0.68 Found k:((lessis z) u) % 0.43/0.68 Found k as proof of ((lessis z) u) % 0.43/0.68 Found (satz1400 k) as proof of ((moreis u) z) % 0.43/0.68 Found ((satz140 u) k) as proof of ((moreis u) z) % 0.43/0.68 Found (((satz14 z) u) k) as proof of ((moreis u) z) % 0.43/0.68 Found (((satz14 z) u) k) as proof of ((moreis u) z) % 0.43/0.68 Found ((satz22b0000 l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found (((satz22b000 z) l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found ((((satz22b00 u) z) l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found (((((satz22b0 x) u) z) l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found ((((((satz22b y) x) u) z) l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Found ((((((satz22b y) x) u) z) l) (((satz14 z) u) k)) as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) u)) ((pl x) z)) Xv))) % 0.43/0.68 Got proof ((((((satz22b y) x) u) z) l) (((satz14 z) u) k)) % 0.43/0.68 Time elapsed = 0.147149s % 0.43/0.68 node=36 cost=148.000000 depth=10 % 0.43/0.68:::::::::::::::::::::: % 0.43/0.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.43/0.68 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.43/0.68 ((((((satz22b y) x) u) z) l) (((satz14 z) u) k)) % 0.43/0.69 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------