%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : NUM702^1 : TPTP v7.0.0. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % Computer : n163.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 13:11:30 EST 2018 % Result : Theorem 0.38s % Output : Proof 0.38s % 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 : NUM702^1 : TPTP v7.0.0. Released v3.7.0. % 0.00/0.03 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p % 0.02/0.24 % Computer : n163.star.cs.uiowa.edu % 0.02/0.24 % Model : x86_64 x86_64 % 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz % 0.02/0.24 % Memory : 32218.625MB % 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 % 0.02/0.25 % CPULimit : 300 % 0.02/0.25 % DateTime : Fri Jan 5 13:25:49 CST 2018 % 0.02/0.25 % CPUTime : % 0.08/0.26 Python 2.7.13 % 0.38/0.58 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/'] % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b1c68>, <kernel.Type object at 0x2ade33327128>) of role type named nat_type % 0.38/0.58 Using role type % 0.38/0.58 Declaring nat:Type % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b10e0>, <kernel.Constant object at 0x2ade33327908>) of role type named x % 0.38/0.58 Using role type % 0.38/0.58 Declaring x:nat % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b1c68>, <kernel.Constant object at 0x2ade333277a0>) of role type named y % 0.38/0.58 Using role type % 0.38/0.58 Declaring y:nat % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b10e0>, <kernel.DependentProduct object at 0x2ade333275a8>) of role type named some % 0.38/0.58 Using role type % 0.38/0.58 Declaring some:((nat->Prop)->Prop) % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b1c68>, <kernel.DependentProduct object at 0x2ade33327518>) of role type named diffprop % 0.38/0.58 Using role type % 0.38/0.58 Declaring diffprop:(nat->(nat->(nat->Prop))) % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade328b1c68>, <kernel.DependentProduct object at 0x2ade333277a0>) of role type named pl % 0.38/0.58 Using role type % 0.38/0.58 Declaring pl:(nat->(nat->nat)) % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade333275a8>, <kernel.Constant object at 0x2ade333277a0>) of role type named n_1 % 0.38/0.58 Using role type % 0.38/0.58 Declaring n_1:nat % 0.38/0.58 FOF formula (some (fun (Xu:nat)=> (((diffprop ((pl y) n_1)) x) Xu))) of role axiom named m % 0.38/0.58 A new axiom: (some (fun (Xu:nat)=> (((diffprop ((pl y) n_1)) x) Xu))) % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade333275a8>, <kernel.DependentProduct object at 0x2ade333277a0>) of role type named moreis % 0.38/0.58 Using role type % 0.38/0.58 Declaring moreis:(nat->(nat->Prop)) % 0.38/0.58 FOF formula (<kernel.Constant object at 0x2ade33327128>, <kernel.DependentProduct object at 0x2ade333270e0>) of role type named lessis % 0.38/0.58 Using role type % 0.38/0.58 Declaring lessis:(nat->(nat->Prop)) % 0.38/0.58 FOF formula (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) of role axiom named satz14 % 0.38/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))) % 0.38/0.58 FOF formula (forall (Xx:nat) (Xy:nat), ((some (fun (Xv:nat)=> (((diffprop ((pl Xx) n_1)) Xy) Xv)))->((lessis Xy) Xx))) of role axiom named satz26 % 0.38/0.58 A new axiom: (forall (Xx:nat) (Xy:nat), ((some (fun (Xv:nat)=> (((diffprop ((pl Xx) n_1)) Xy) Xv)))->((lessis Xy) Xx))) % 0.38/0.58 FOF formula ((moreis y) x) of role conjecture named satz26b % 0.38/0.58 Conjecture to prove = ((moreis y) x):Prop % 0.38/0.58 We need to prove ['((moreis y) x)'] % 0.38/0.58 Parameter nat:Type. % 0.38/0.58 Parameter x:nat. % 0.38/0.58 Parameter y:nat. % 0.38/0.58 Parameter some:((nat->Prop)->Prop). % 0.38/0.58 Parameter diffprop:(nat->(nat->(nat->Prop))). % 0.38/0.58 Parameter pl:(nat->(nat->nat)). % 0.38/0.58 Parameter n_1:nat. % 0.38/0.58 Axiom m:(some (fun (Xu:nat)=> (((diffprop ((pl y) n_1)) x) Xu))). % 0.38/0.58 Parameter moreis:(nat->(nat->Prop)). % 0.38/0.58 Parameter lessis:(nat->(nat->Prop)). % 0.38/0.58 Axiom satz14:(forall (Xx:nat) (Xy:nat), (((lessis Xx) Xy)->((moreis Xy) Xx))). % 0.38/0.58 Axiom satz26:(forall (Xx:nat) (Xy:nat), ((some (fun (Xv:nat)=> (((diffprop ((pl Xx) n_1)) Xy) Xv)))->((lessis Xy) Xx))). % 0.38/0.58 Trying to prove ((moreis y) x) % 0.38/0.58 Found m:(some (fun (Xu:nat)=> (((diffprop ((pl y) n_1)) x) Xu))) % 0.38/0.58 Found m as proof of (some (fun (Xv:nat)=> (((diffprop ((pl y) n_1)) x) Xv))) % 0.38/0.58 Found (satz2600 m) as proof of ((lessis x) y) % 0.38/0.58 Found ((satz260 x) m) as proof of ((lessis x) y) % 0.38/0.58 Found (((satz26 y) x) m) as proof of ((lessis x) y) % 0.38/0.58 Found (((satz26 y) x) m) as proof of ((lessis x) y) % 0.38/0.58 Found (satz1400 (((satz26 y) x) m)) as proof of ((moreis y) x) % 0.38/0.58 Found ((satz140 y) (((satz26 y) x) m)) as proof of ((moreis y) x) % 0.38/0.58 Found (((satz14 x) y) (((satz26 y) x) m)) as proof of ((moreis y) x) % 0.38/0.58 Found (((satz14 x) y) (((satz26 y) x) m)) as proof of ((moreis y) x) % 0.38/0.58 Got proof (((satz14 x) y) (((satz26 y) x) m)) % 0.38/0.58 Time elapsed = 0.029500s % 0.38/0.58 node=9 cost=97.000000 depth=8 % 0.38/0.58:::::::::::::::::::::: % 0.38/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.38/0.58 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.38/0.58 (((satz14 x) y) (((satz26 y) x) m)) % 0.38/0.58 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p %------------------------------------------------------------------------------