%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM658^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n063.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 13:11:20 EST 2018 % Result : Theorem 1.28s % Output : Proof 1.28s % 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 : NUM658^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.23 % Computer : n063.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 11:43:00 CST 2018 % 0.02/0.23 % CPUTime : % 0.06/0.25 Python 2.7.13 % 1.28/1.49 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 1.28/1.49 FOF formula (<kernel.Constant object at 0x2b6613056830>, <kernel.Type object at 0x2b66130567e8>) of role type named nat_type % 1.28/1.49 Using role type % 1.28/1.49 Declaring nat:Type % 1.28/1.49 FOF formula (<kernel.Constant object at 0x2b6613107128>, <kernel.Constant object at 0x2b6613056e60>) of role type named x % 1.28/1.49 Using role type % 1.28/1.49 Declaring x:nat % 1.28/1.49 FOF formula (<kernel.Constant object at 0x2b66130567a0>, <kernel.Constant object at 0x2b6613056830>) of role type named y % 1.28/1.49 Using role type % 1.28/1.49 Declaring y:nat % 1.28/1.49 FOF formula (<kernel.Constant object at 0x2b6613056b00>, <kernel.DependentProduct object at 0x2b6612c87cb0>) of role type named more % 1.28/1.49 Using role type % 1.28/1.49 Declaring more:(nat->(nat->Prop)) % 1.28/1.49 FOF formula (((((more x) y)->False)->(((eq nat) x) y))->False) of role axiom named n % 1.28/1.49 A new axiom: (((((more x) y)->False)->(((eq nat) x) y))->False) % 1.28/1.49 FOF formula (<kernel.Constant object at 0x2b6613056830>, <kernel.DependentProduct object at 0x2b6612c87680>) of role type named less % 1.28/1.49 Using role type % 1.28/1.49 Declaring less:(nat->(nat->Prop)) % 1.28/1.49 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) of role axiom named satz10a % 1.28/1.49 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) % 1.28/1.49 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 1.28/1.49 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 1.28/1.49 FOF formula ((less x) y) of role conjecture named satz10j % 1.28/1.49 Conjecture to prove = ((less x) y):Prop % 1.28/1.49 We need to prove ['((less x) y)'] % 1.28/1.49 Parameter nat:Type. % 1.28/1.49 Parameter x:nat. % 1.28/1.49 Parameter y:nat. % 1.28/1.49 Parameter more:(nat->(nat->Prop)). % 1.28/1.49 Axiom n:(((((more x) y)->False)->(((eq nat) x) y))->False). % 1.28/1.49 Parameter less:(nat->(nat->Prop)). % 1.28/1.49 Axiom satz10a:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))). % 1.28/1.49 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 1.28/1.49 Trying to prove ((less x) y) % 1.28/1.49 Found x0:(((eq nat) x) y) % 1.28/1.49 Found (fun (x00:(((more x) y)->False))=> x0) as proof of (((eq nat) x) y) % 1.28/1.49 Found (fun (x00:(((more x) y)->False))=> x0) as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 1.28/1.49 Found (n (fun (x00:(((more x) y)->False))=> x0)) as proof of False % 1.28/1.49 Found (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0))) as proof of False % 1.28/1.49 Found (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0))) as proof of (not (((eq nat) x) y)) % 1.28/1.49 Found x000:=(x00 x0):False % 1.28/1.49 Found (x00 x0) as proof of False % 1.28/1.49 Found (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)) as proof of False % 1.28/1.49 Found (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)) as proof of (((((eq nat) x) y)->False)->False) % 1.28/1.49 Found (et0 (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))) as proof of (((eq nat) x) y) % 1.28/1.49 Found ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))) as proof of (((eq nat) x) y) % 1.28/1.49 Found (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)))) as proof of (((eq nat) x) y) % 1.28/1.49 Found (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)))) as proof of ((((more x) y)->False)->(((eq nat) x) y)) % 1.28/1.49 Found (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))) as proof of False % 1.28/1.49 Found (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)))))) as proof of False % 1.28/1.49 Found (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0)))))) as proof of (((more x) y)->False) % 1.28/1.49 Found ((satz10a00 (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) as proof of ((less x) y) % 1.28/1.49 Found (((satz10a0 y) (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) as proof of ((less x) y) % 1.28/1.50 Found ((((satz10a x) y) (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) as proof of ((less x) y) % 1.28/1.50 Found ((((satz10a x) y) (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) as proof of ((less x) y) % 1.28/1.50 Got proof ((((satz10a x) y) (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) % 1.28/1.50 Time elapsed = 0.966947s % 1.28/1.50 node=152 cost=177.000000 depth=13 % 1.28/1.50:::::::::::::::::::::: % 1.28/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.28/1.50 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 1.28/1.50 ((((satz10a x) y) (fun (x0:(((eq nat) x) y))=> (n (fun (x00:(((more x) y)->False))=> x0)))) (fun (x0:((more x) y))=> (n (fun (x00:(((more x) y)->False))=> ((et (((eq nat) x) y)) (fun (x01:((((eq nat) x) y)->False))=> (x00 x0))))))) % 1.28/1.50 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------