%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM668^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n065.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 13:11:22 EST 2018 % Result : Theorem 0.44s % Output : Proof 0.44s % 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 : NUM668^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n065.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 12:13:34 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.24 Python 2.7.13 % 0.44/0.67 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.44/0.67 FOF formula (<kernel.Constant object at 0x2afad846dcb0>, <kernel.Type object at 0x2afad846d758>) of role type named nat_type % 0.44/0.67 Using role type % 0.44/0.67 Declaring nat:Type % 0.44/0.67 FOF formula (<kernel.Constant object at 0x2afad8114d40>, <kernel.Constant object at 0x2afad846dfc8>) of role type named x % 0.44/0.67 Using role type % 0.44/0.67 Declaring x:nat % 0.44/0.67 FOF formula (<kernel.Constant object at 0x2afad846d638>, <kernel.Constant object at 0x2afad846dfc8>) of role type named y % 0.44/0.67 Using role type % 0.44/0.67 Declaring y:nat % 0.44/0.67 FOF formula (<kernel.Constant object at 0x2afad846dcb0>, <kernel.DependentProduct object at 0x2afad846dcf8>) of role type named pl % 0.44/0.67 Using role type % 0.44/0.67 Declaring pl:(nat->(nat->nat)) % 0.44/0.67 FOF formula ((forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0))))->False) of role conjecture named satz18 % 0.44/0.67 Conjecture to prove = ((forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0))))->False):Prop % 0.44/0.67 We need to prove ['((forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0))))->False)'] % 0.44/0.67 Parameter nat:Type. % 0.44/0.67 Parameter x:nat. % 0.44/0.67 Parameter y:nat. % 0.44/0.67 Parameter pl:(nat->(nat->nat)). % 0.44/0.67 Trying to prove ((forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0))))->False) % 0.44/0.67 Found eq_ref00:=(eq_ref0 ((pl x) y)):(((eq nat) ((pl x) y)) ((pl x) y)) % 0.44/0.67 Found (eq_ref0 ((pl x) y)) as proof of (((eq nat) ((pl x) y)) ((pl x) Xx_0)) % 0.44/0.67 Found ((eq_ref nat) ((pl x) y)) as proof of (((eq nat) ((pl x) y)) ((pl x) Xx_0)) % 0.44/0.67 Found ((eq_ref nat) ((pl x) y)) as proof of (((eq nat) ((pl x) y)) ((pl x) Xx_0)) % 0.44/0.67 Found ((eq_ref nat) ((pl x) y)) as proof of (((eq nat) ((pl x) y)) ((pl x) Xx_0)) % 0.44/0.67 Found (x00 ((eq_ref nat) ((pl x) y))) as proof of False % 0.44/0.67 Found ((x0 y) ((eq_ref nat) ((pl x) y))) as proof of False % 0.44/0.67 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0)))))=> ((x0 y) ((eq_ref nat) ((pl x) y)))) as proof of False % 0.44/0.67 Found (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0)))))=> ((x0 y) ((eq_ref nat) ((pl x) y)))) as proof of ((forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0))))->False) % 0.44/0.67 Got proof (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0)))))=> ((x0 y) ((eq_ref nat) ((pl x) y)))) % 0.44/0.67 Time elapsed = 0.157441s % 0.44/0.67 node=21 cost=-56.000000 depth=7 % 0.44/0.67:::::::::::::::::::::: % 0.44/0.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.44/0.67 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.44/0.67 (fun (x0:(forall (Xx_0:nat), (not (((eq nat) ((pl x) y)) ((pl x) Xx_0)))))=> ((x0 y) ((eq_ref nat) ((pl x) y)))) % 0.44/0.67 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------