%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM700^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n066.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 13:11:29 EST 2018 % Result : Theorem 0.37s % Output : Proof 0.37s % 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 : NUM700^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.04 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.02/0.22 % Computer : n066.star.cs.uiowa.edu % 0.02/0.22 % Model : x86_64 x86_64 % 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.22 % Memory : 32218.625MB % 0.02/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.22 % CPULimit : 300 % 0.02/0.22 % DateTime : Fri Jan 5 13:04:20 CST 2018 % 0.02/0.23 % CPUTime : % 0.02/0.25 Python 2.7.13 % 0.37/0.76 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41b320>, <kernel.Type object at 0x2add6a41b200>) of role type named nat_type % 0.37/0.76 Using role type % 0.37/0.76 Declaring nat:Type % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a4a9098>, <kernel.Constant object at 0x2add6a41be18>) of role type named x % 0.37/0.76 Using role type % 0.37/0.76 Declaring x:nat % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41bc68>, <kernel.Constant object at 0x2add6a41be18>) of role type named y % 0.37/0.76 Using role type % 0.37/0.76 Declaring y:nat % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41b320>, <kernel.DependentProduct object at 0x2add6a41bbd8>) of role type named less % 0.37/0.76 Using role type % 0.37/0.76 Declaring less:(nat->(nat->Prop)) % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41b878>, <kernel.DependentProduct object at 0x2add6a41b128>) of role type named pl % 0.37/0.76 Using role type % 0.37/0.76 Declaring pl:(nat->(nat->nat)) % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a4a3e60>, <kernel.Constant object at 0x2add6a41b878>) of role type named n_1 % 0.37/0.76 Using role type % 0.37/0.76 Declaring n_1:nat % 0.37/0.76 FOF formula ((less y) ((pl x) n_1)) of role axiom named l % 0.37/0.76 A new axiom: ((less y) ((pl x) n_1)) % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41bc20>, <kernel.DependentProduct object at 0x2add6a04c638>) of role type named lessis % 0.37/0.76 Using role type % 0.37/0.76 Declaring lessis:(nat->(nat->Prop)) % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41b128>, <kernel.DependentProduct object at 0x2add6a04c488>) of role type named more % 0.37/0.76 Using role type % 0.37/0.76 Declaring more:(nat->(nat->Prop)) % 0.37/0.76 FOF formula (forall (Xx:nat) (Xy:nat), ((((more Xx) Xy)->False)->((lessis Xx) Xy))) of role axiom named satz10e % 0.37/0.76 A new axiom: (forall (Xx:nat) (Xy:nat), ((((more Xx) Xy)->False)->((lessis Xx) Xy))) % 0.37/0.76 FOF formula (<kernel.Constant object at 0x2add6a41b638>, <kernel.DependentProduct object at 0x2add6a04c758>) of role type named moreis % 0.37/0.76 Using role type % 0.37/0.76 Declaring moreis:(nat->(nat->Prop)) % 0.37/0.76 FOF formula (forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->(((moreis Xx) Xy)->False))) of role axiom named satz10h % 0.37/0.76 A new axiom: (forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->(((moreis Xx) Xy)->False))) % 0.37/0.76 FOF formula (forall (Xx:nat) (Xy:nat), (((more Xy) Xx)->((moreis Xy) ((pl Xx) n_1)))) of role axiom named satz25 % 0.37/0.76 A new axiom: (forall (Xx:nat) (Xy:nat), (((more Xy) Xx)->((moreis Xy) ((pl Xx) n_1)))) % 0.37/0.76 FOF formula ((lessis y) x) of role conjecture named satz26 % 0.37/0.76 Conjecture to prove = ((lessis y) x):Prop % 0.37/0.76 We need to prove ['((lessis y) x)'] % 0.37/0.76 Parameter nat:Type. % 0.37/0.76 Parameter x:nat. % 0.37/0.76 Parameter y:nat. % 0.37/0.76 Parameter less:(nat->(nat->Prop)). % 0.37/0.76 Parameter pl:(nat->(nat->nat)). % 0.37/0.76 Parameter n_1:nat. % 0.37/0.76 Axiom l:((less y) ((pl x) n_1)). % 0.37/0.76 Parameter lessis:(nat->(nat->Prop)). % 0.37/0.76 Parameter more:(nat->(nat->Prop)). % 0.37/0.76 Axiom satz10e:(forall (Xx:nat) (Xy:nat), ((((more Xx) Xy)->False)->((lessis Xx) Xy))). % 0.37/0.76 Parameter moreis:(nat->(nat->Prop)). % 0.37/0.76 Axiom satz10h:(forall (Xx:nat) (Xy:nat), (((less Xx) Xy)->(((moreis Xx) Xy)->False))). % 0.37/0.76 Axiom satz25:(forall (Xx:nat) (Xy:nat), (((more Xy) Xx)->((moreis Xy) ((pl Xx) n_1)))). % 0.37/0.76 Trying to prove ((lessis y) x) % 0.37/0.76 Found l:((less y) ((pl x) n_1)) % 0.37/0.76 Found l as proof of ((less y) ((pl x) n_1)) % 0.37/0.76 Found satz25000:=(satz2500 x0):((moreis y) ((pl x) n_1)) % 0.37/0.76 Found (satz2500 x0) as proof of ((moreis y) ((pl x) n_1)) % 0.37/0.76 Found ((satz250 y) x0) as proof of ((moreis y) ((pl x) n_1)) % 0.37/0.76 Found (((satz25 x) y) x0) as proof of ((moreis y) ((pl x) n_1)) % 0.37/0.76 Found (((satz25 x) y) x0) as proof of ((moreis y) ((pl x) n_1)) % 0.37/0.76 Found ((satz10h0 l) (((satz25 x) y) x0)) as proof of False % 0.37/0.76 Found ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)) as proof of False % 0.37/0.76 Found (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0))) as proof of False % 0.37/0.76 Found (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0))) as proof of (((more y) x)->False) % 0.37/0.76 Found (satz10e00 (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) as proof of ((lessis y) x) % 0.37/0.76 Found ((satz10e0 x) (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) as proof of ((lessis y) x) % 0.37/0.76 Found (((satz10e y) x) (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) as proof of ((lessis y) x) % 0.37/0.77 Found (((satz10e y) x) (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) as proof of ((lessis y) x) % 0.37/0.77 Got proof (((satz10e y) x) (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) % 0.37/0.77 Time elapsed = 0.069008s % 0.37/0.77 node=21 cost=397.000000 depth=11 % 0.37/0.77:::::::::::::::::::::: % 0.37/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.37/0.77 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.37/0.77 (((satz10e y) x) (fun (x0:((more y) x))=> ((((satz10h y) ((pl x) n_1)) l) (((satz25 x) y) x0)))) % 0.37/0.77 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------