%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM701^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n095.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 13:11:30 EST 2018 % Result : Theorem 0.08s % Output : Proof 0.08s % 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 : NUM701^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.03/0.24 % Computer : n095.star.cs.uiowa.edu % 0.03/0.24 % Model : x86_64 x86_64 % 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.24 % Memory : 32218.625MB % 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.03/0.24 % CPULimit : 300 % 0.03/0.24 % DateTime : Fri Jan 5 13:28:19 CST 2018 % 0.03/0.24 % CPUTime : % 0.03/0.26 Python 2.7.13 % 0.08/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.Type object at 0x2b13cd9c0950>) of role type named nat_type % 0.08/0.58 Using role type % 0.08/0.58 Declaring nat:Type % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0440>, <kernel.Constant object at 0x2b13cd9c0710>) of role type named x % 0.08/0.58 Using role type % 0.08/0.58 Declaring x:nat % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cdaa4b00>, <kernel.Constant object at 0x2b13cd9c0710>) of role type named y % 0.08/0.58 Using role type % 0.08/0.58 Declaring y:nat % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.DependentProduct object at 0x2b13cdd8b170>) of role type named less % 0.08/0.58 Using role type % 0.08/0.58 Declaring less:(nat->(nat->Prop)) % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0440>, <kernel.DependentProduct object at 0x2b13cdd8ba70>) of role type named suc % 0.08/0.58 Using role type % 0.08/0.58 Declaring suc:(nat->nat) % 0.08/0.58 FOF formula ((less y) (suc x)) of role axiom named l % 0.08/0.58 A new axiom: ((less y) (suc x)) % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0710>, <kernel.DependentProduct object at 0x2b13cdd8bab8>) of role type named lessis % 0.08/0.58 Using role type % 0.08/0.58 Declaring lessis:(nat->(nat->Prop)) % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.DependentProduct object at 0x2b13cdd8b560>) of role type named pl % 0.08/0.58 Using role type % 0.08/0.58 Declaring pl:(nat->(nat->nat)) % 0.08/0.58 FOF formula (<kernel.Constant object at 0x2b13cd9c0f80>, <kernel.Constant object at 0x2b13cdd8b560>) of role type named n_1 % 0.08/0.58 Using role type % 0.08/0.58 Declaring n_1:nat % 0.08/0.58 FOF formula (forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx))) of role axiom named satz26 % 0.08/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx))) % 0.08/0.58 FOF formula (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) of role axiom named satz4e % 0.08/0.58 A new axiom: (forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))) % 0.08/0.58 FOF formula ((lessis y) x) of role conjecture named satz26a % 0.08/0.58 Conjecture to prove = ((lessis y) x):Prop % 0.08/0.58 We need to prove ['((lessis y) x)'] % 0.08/0.58 Parameter nat:Type. % 0.08/0.58 Parameter x:nat. % 0.08/0.58 Parameter y:nat. % 0.08/0.58 Parameter less:(nat->(nat->Prop)). % 0.08/0.58 Parameter suc:(nat->nat). % 0.08/0.58 Axiom l:((less y) (suc x)). % 0.08/0.58 Parameter lessis:(nat->(nat->Prop)). % 0.08/0.58 Parameter pl:(nat->(nat->nat)). % 0.08/0.58 Parameter n_1:nat. % 0.08/0.58 Axiom satz26:(forall (Xx:nat) (Xy:nat), (((less Xy) ((pl Xx) n_1))->((lessis Xy) Xx))). % 0.08/0.58 Axiom satz4e:(forall (Xx:nat), (((eq nat) (suc Xx)) ((pl Xx) n_1))). % 0.08/0.58 Trying to prove ((lessis y) x) % 0.08/0.58 Found l:((less y) (suc x)) % 0.08/0.58 Found l as proof of ((less y) (suc x)) % 0.08/0.58 Found (satz4e00 l) as proof of ((less y) ((pl x) n_1)) % 0.08/0.58 Found ((satz4e0 (less y)) l) as proof of ((less y) ((pl x) n_1)) % 0.08/0.58 Found (((satz4e x) (less y)) l) as proof of ((less y) ((pl x) n_1)) % 0.08/0.58 Found (((satz4e x) (less y)) l) as proof of ((less y) ((pl x) n_1)) % 0.08/0.58 Found (satz2600 (((satz4e x) (less y)) l)) as proof of ((lessis y) x) % 0.08/0.58 Found ((satz260 y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x) % 0.08/0.58 Found (((satz26 x) y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x) % 0.08/0.58 Found (((satz26 x) y) (((satz4e x) (less y)) l)) as proof of ((lessis y) x) % 0.08/0.58 Got proof (((satz26 x) y) (((satz4e x) (less y)) l)) % 0.08/0.58 Time elapsed = 0.045859s % 0.08/0.58 node=14 cost=108.000000 depth=8 % 0.08/0.58:::::::::::::::::::::: % 0.08/0.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.58 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.08/0.58 (((satz26 x) y) (((satz4e x) (less y)) l)) % 0.08/0.58 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------