%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM698^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n046.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 13:11:29 EST 2018 % Result : Theorem 0.32s % Output : Proof 0.32s % Verified : % SZS Type : None (Parsing solution fails) % Syntax : Number of formulae : 0 % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.04 % Problem : NUM698^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.24 % Computer : n046.star.cs.uiowa.edu % 0.02/0.24 % Model : x86_64 x86_64 % 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.24 % Memory : 32218.625MB % 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.24 % CPULimit : 300 % 0.02/0.24 % DateTime : Fri Jan 5 13:03:33 CST 2018 % 0.02/0.24 % CPUTime : % 0.02/0.26 Python 2.7.13 % 0.32/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252f80>, <kernel.Type object at 0x2b69e8252128>) of role type named nat_type % 0.32/0.58 Using role type % 0.32/0.58 Declaring nat:Type % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e77d7f38>, <kernel.Constant object at 0x2b69e82523f8>) of role type named x % 0.32/0.58 Using role type % 0.32/0.58 Declaring x:nat % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252b48>, <kernel.Constant object at 0x2b69e82523f8>) of role type named y % 0.32/0.58 Using role type % 0.32/0.58 Declaring y:nat % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252f80>, <kernel.DependentProduct object at 0x2b69e8252830>) of role type named some % 0.32/0.58 Using role type % 0.32/0.58 Declaring some:((nat->Prop)->Prop) % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252518>, <kernel.DependentProduct object at 0x2b69e82522d8>) of role type named diffprop % 0.32/0.58 Using role type % 0.32/0.58 Declaring diffprop:(nat->(nat->(nat->Prop))) % 0.32/0.58 FOF formula (some (fun (Xv:nat)=> (((diffprop x) y) Xv))) of role axiom named l % 0.32/0.58 A new axiom: (some (fun (Xv:nat)=> (((diffprop x) y) Xv))) % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252518>, <kernel.DependentProduct object at 0x2b69e82522d8>) of role type named lessis % 0.32/0.58 Using role type % 0.32/0.58 Declaring lessis:(nat->(nat->Prop)) % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252638>, <kernel.DependentProduct object at 0x2b69e8252f80>) of role type named pl % 0.32/0.58 Using role type % 0.32/0.58 Declaring pl:(nat->(nat->nat)) % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252908>, <kernel.Constant object at 0x2b69e8252f80>) of role type named n_1 % 0.32/0.58 Using role type % 0.32/0.58 Declaring n_1:nat % 0.32/0.58 FOF formula (<kernel.Constant object at 0x2b69e8252518>, <kernel.DependentProduct object at 0x2b69e82522d8>) of role type named moreis % 0.32/0.58 Using role type % 0.32/0.58 Declaring moreis:(nat->(nat->Prop)) % 0.32/0.58 FOF formula (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))) of role axiom named satz13 % 0.32/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))) % 0.32/0.58 FOF formula (forall (Xx:nat) (Xy:nat), ((some (fun (Xu:nat)=> (((diffprop Xy) Xx) Xu)))->((moreis Xy) ((pl Xx) n_1)))) of role axiom named satz25 % 0.32/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), ((some (fun (Xu:nat)=> (((diffprop Xy) Xx) Xu)))->((moreis Xy) ((pl Xx) n_1)))) % 0.32/0.58 FOF formula ((lessis ((pl y) n_1)) x) of role conjecture named satz25b % 0.32/0.58 Conjecture to prove = ((lessis ((pl y) n_1)) x):Prop % 0.32/0.58 We need to prove ['((lessis ((pl y) n_1)) x)'] % 0.32/0.58 Parameter nat:Type. % 0.32/0.58 Parameter x:nat. % 0.32/0.58 Parameter y:nat. % 0.32/0.58 Parameter some:((nat->Prop)->Prop). % 0.32/0.58 Parameter diffprop:(nat->(nat->(nat->Prop))). % 0.32/0.58 Axiom l:(some (fun (Xv:nat)=> (((diffprop x) y) Xv))). % 0.32/0.58 Parameter lessis:(nat->(nat->Prop)). % 0.32/0.58 Parameter pl:(nat->(nat->nat)). % 0.32/0.58 Parameter n_1:nat. % 0.32/0.58 Parameter moreis:(nat->(nat->Prop)). % 0.32/0.58 Axiom satz13:(forall (Xx:nat) (Xy:nat), (((moreis Xx) Xy)->((lessis Xy) Xx))). % 0.32/0.58 Axiom satz25:(forall (Xx:nat) (Xy:nat), ((some (fun (Xu:nat)=> (((diffprop Xy) Xx) Xu)))->((moreis Xy) ((pl Xx) n_1)))). % 0.32/0.58 Trying to prove ((lessis ((pl y) n_1)) x) % 0.32/0.58 Found l:(some (fun (Xv:nat)=> (((diffprop x) y) Xv))) % 0.32/0.58 Found l as proof of (some (fun (Xu:nat)=> (((diffprop x) y) Xu))) % 0.32/0.58 Found (satz2500 l) as proof of ((moreis x) ((pl y) n_1)) % 0.32/0.58 Found ((satz250 x) l) as proof of ((moreis x) ((pl y) n_1)) % 0.32/0.58 Found (((satz25 y) x) l) as proof of ((moreis x) ((pl y) n_1)) % 0.32/0.58 Found (((satz25 y) x) l) as proof of ((moreis x) ((pl y) n_1)) % 0.32/0.58 Found (satz1300 (((satz25 y) x) l)) as proof of ((lessis ((pl y) n_1)) x) % 0.32/0.58 Found ((satz130 ((pl y) n_1)) (((satz25 y) x) l)) as proof of ((lessis ((pl y) n_1)) x) % 0.32/0.58 Found (((satz13 x) ((pl y) n_1)) (((satz25 y) x) l)) as proof of ((lessis ((pl y) n_1)) x) % 0.32/0.58 Found (((satz13 x) ((pl y) n_1)) (((satz25 y) x) l)) as proof of ((lessis ((pl y) n_1)) x) % 0.32/0.58 Got proof (((satz13 x) ((pl y) n_1)) (((satz25 y) x) l)) % 0.32/0.58 Time elapsed = 0.035134s % 0.32/0.58 node=9 cost=97.000000 depth=8 % 0.32/0.58:::::::::::::::::::::: % 0.32/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.32/0.58 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.32/0.58 (((satz13 x) ((pl y) n_1)) (((satz25 y) x) l)) % 0.32/0.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------