%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM671^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n144.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 13:11:23 EST 2018 % Result : Theorem 0.39s % Output : Proof 0.39s % 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 : NUM671^1 : TPTP v7.0.0. Released v3.7.0. % 0.02/0.03 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n144.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 12:14:19 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.25 Python 2.7.13 % 0.39/0.59 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e78288c0>, <kernel.Type object at 0x2b41e78286c8>) of role type named nat_type % 0.39/0.59 Using role type % 0.39/0.59 Declaring nat:Type % 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7903dd0>, <kernel.Constant object at 0x2b41e78284d0>) of role type named x % 0.39/0.59 Using role type % 0.39/0.59 Declaring x:nat % 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7828680>, <kernel.Constant object at 0x2b41e78284d0>) of role type named y % 0.39/0.59 Using role type % 0.39/0.59 Declaring y:nat % 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e78288c0>, <kernel.Constant object at 0x2b41e78284d0>) of role type named z % 0.39/0.59 Using role type % 0.39/0.59 Declaring z:nat % 0.39/0.59 FOF formula (((eq nat) x) y) of role axiom named i % 0.39/0.59 A new axiom: (((eq nat) x) y) % 0.39/0.59 FOF formula (<kernel.Constant object at 0x2b41e7828368>, <kernel.DependentProduct object at 0x2b41e78288c0>) of role type named pl % 0.39/0.59 Using role type % 0.39/0.59 Declaring pl:(nat->(nat->nat)) % 0.39/0.59 FOF formula (((eq nat) ((pl x) z)) ((pl y) z)) of role conjecture named satz19b % 0.39/0.59 Conjecture to prove = (((eq nat) ((pl x) z)) ((pl y) z)):Prop % 0.39/0.59 We need to prove ['(((eq nat) ((pl x) z)) ((pl y) z))'] % 0.39/0.59 Parameter nat:Type. % 0.39/0.59 Parameter x:nat. % 0.39/0.59 Parameter y:nat. % 0.39/0.59 Parameter z:nat. % 0.39/0.59 Axiom i:(((eq nat) x) y). % 0.39/0.59 Parameter pl:(nat->(nat->nat)). % 0.39/0.59 Trying to prove (((eq nat) ((pl x) z)) ((pl y) z)) % 0.39/0.59 Found i0:=(i (fun (x0:nat)=> (P ((pl x0) z)))):((P ((pl x) z))->(P ((pl y) z))) % 0.39/0.59 Found (i (fun (x0:nat)=> (P ((pl x0) z)))) as proof of ((P ((pl x) z))->(P ((pl y) z))) % 0.39/0.59 Found (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) as proof of ((P ((pl x) z))->(P ((pl y) z))) % 0.39/0.59 Found (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) as proof of (((eq nat) ((pl x) z)) ((pl y) z)) % 0.39/0.59 Got proof (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) % 0.39/0.59 Time elapsed = 0.081612s % 0.39/0.59 node=7 cost=-87.000000 depth=2 % 0.39/0.59:::::::::::::::::::::: % 0.39/0.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.39/0.59 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.39/0.59 (fun (P:(nat->Prop))=> (i (fun (x0:nat)=> (P ((pl x0) z))))) % 0.39/0.59 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------