%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM654^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n106.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 13:11:18 EST 2018 % Result : Theorem 1.42s % Output : Proof 1.42s % 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 : NUM654^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.03/0.23 % Computer : n106.star.cs.uiowa.edu % 0.03/0.23 % Model : x86_64 x86_64 % 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.03/0.23 % Memory : 32218.625MB % 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.03/0.23 % CPULimit : 300 % 0.03/0.23 % DateTime : Fri Jan 5 11:39:14 CST 2018 % 0.03/0.23 % CPUTime : % 0.03/0.24 Python 2.7.13 % 1.42/1.63 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f036a70>, <kernel.Type object at 0x2b759f0369e0>) of role type named nat_type % 1.42/1.63 Using role type % 1.42/1.63 Declaring nat:Type % 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759e99ec68>, <kernel.Constant object at 0x2b759f036050>) of role type named x % 1.42/1.63 Using role type % 1.42/1.63 Declaring x:nat % 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759e99ec68>, <kernel.Constant object at 0x2b759f036050>) of role type named y % 1.42/1.63 Using role type % 1.42/1.63 Declaring y:nat % 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f036a70>, <kernel.DependentProduct object at 0x2b759e913d40>) of role type named more % 1.42/1.63 Using role type % 1.42/1.63 Declaring more:(nat->(nat->Prop)) % 1.42/1.63 FOF formula (((more x) y)->False) of role axiom named n % 1.42/1.63 A new axiom: (((more x) y)->False) % 1.42/1.63 FOF formula (<kernel.Constant object at 0x2b759f0364d0>, <kernel.DependentProduct object at 0x2b759e913320>) of role type named less % 1.42/1.63 Using role type % 1.42/1.63 Declaring less:(nat->(nat->Prop)) % 1.42/1.63 FOF formula (forall (Xa:Prop), (((Xa->False)->False)->Xa)) of role axiom named et % 1.42/1.63 A new axiom: (forall (Xa:Prop), (((Xa->False)->False)->Xa)) % 1.42/1.63 FOF formula (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) of role axiom named satz10a % 1.42/1.63 A new axiom: (forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))) % 1.42/1.63 FOF formula ((((less x) y)->False)->(((eq nat) x) y)) of role conjecture named satz10e % 1.42/1.63 Conjecture to prove = ((((less x) y)->False)->(((eq nat) x) y)):Prop % 1.42/1.63 We need to prove ['((((less x) y)->False)->(((eq nat) x) y))'] % 1.42/1.63 Parameter nat:Type. % 1.42/1.63 Parameter x:nat. % 1.42/1.63 Parameter y:nat. % 1.42/1.63 Parameter more:(nat->(nat->Prop)). % 1.42/1.63 Axiom n:(((more x) y)->False). % 1.42/1.63 Parameter less:(nat->(nat->Prop)). % 1.42/1.63 Axiom et:(forall (Xa:Prop), (((Xa->False)->False)->Xa)). % 1.42/1.63 Axiom satz10a:(forall (Xx:nat) (Xy:nat), ((not (((eq nat) Xx) Xy))->((((more Xx) Xy)->False)->((less Xx) Xy)))). % 1.42/1.63 Trying to prove ((((less x) y)->False)->(((eq nat) x) y)) % 1.42/1.63 Found satz10a0000:=(satz10a000 n):((less x) y) % 1.42/1.63 Found (satz10a000 n) as proof of ((less x) y) % 1.42/1.63 Found ((satz10a00 x00) n) as proof of ((less x) y) % 1.42/1.63 Found (((satz10a0 y) x00) n) as proof of ((less x) y) % 1.42/1.63 Found ((((satz10a x) y) x00) n) as proof of ((less x) y) % 1.42/1.63 Found ((((satz10a x) y) x00) n) as proof of ((less x) y) % 1.42/1.63 Found (x0 ((((satz10a x) y) x00) n)) as proof of False % 1.42/1.63 Found (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))) as proof of False % 1.42/1.63 Found (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))) as proof of (((((eq nat) x) y)->False)->False) % 1.42/1.63 Found (et0 (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))) as proof of (((eq nat) x) y) % 1.42/1.63 Found ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n)))) as proof of (((eq nat) x) y) % 1.42/1.63 Found (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) as proof of (((eq nat) x) y) % 1.42/1.63 Found (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) as proof of ((((less x) y)->False)->(((eq nat) x) y)) % 1.42/1.63 Got proof (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) % 1.42/1.63 Time elapsed = 1.095243s % 1.42/1.63 node=202 cost=165.000000 depth=11 % 1.42/1.63:::::::::::::::::::::: % 1.42/1.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.42/1.63 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 1.42/1.63 (fun (x0:(((less x) y)->False))=> ((et (((eq nat) x) y)) (fun (x00:((((eq nat) x) y)->False))=> (x0 ((((satz10a x) y) x00) n))))) % 1.42/1.63 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p 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