%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO512^1 : TPTP v7.5.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 0s % DateTime : Tue Mar 29 00:51:59 EDT 2022 % Result : Theorem 0.47s 0.68s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYO512^1 : TPTP v7.5.0. Released v4.1.0. % 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.13/0.33 % Computer : n013.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % RAMPerCPU : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % DateTime : Sun Mar 13 13:27:37 EDT 2022 % 0.13/0.33 % CPUTime : % 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.13/0.34 Python 2.7.5 % 0.47/0.68 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.47/0.68 FOF formula (<kernel.Constant object at 0x13311b8>, <kernel.DependentProduct object at 0x130a5f0>) of role type named eps % 0.47/0.68 Using role type % 0.47/0.68 Declaring eps:((fofType->Prop)->fofType) % 0.47/0.68 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named epschoice % 0.47/0.68 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) % 0.47/0.68 FOF formula (<kernel.Constant object at 0x1327c68>, <kernel.DependentProduct object at 0x130a950>) of role type named r % 0.47/0.68 Using role type % 0.47/0.68 Declaring r:(fofType->(fofType->Prop)) % 0.47/0.68 FOF formula (forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y)))) of role axiom named rtotal % 0.47/0.68 A new axiom: (forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y)))) % 0.47/0.68 FOF formula (forall (X:fofType), ((r X) (eps (r X)))) of role conjecture named claim % 0.47/0.68 Conjecture to prove = (forall (X:fofType), ((r X) (eps (r X)))):Prop % 0.47/0.68 Parameter fofType_DUMMY:fofType. % 0.47/0.68 We need to prove ['(forall (X:fofType), ((r X) (eps (r X))))'] % 0.47/0.68 Parameter fofType:Type. % 0.47/0.68 Parameter eps:((fofType->Prop)->fofType). % 0.47/0.68 Axiom epschoice:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))). % 0.47/0.68 Parameter r:(fofType->(fofType->Prop)). % 0.47/0.68 Axiom rtotal:(forall (X:fofType), ((ex fofType) (fun (Y:fofType)=> ((r X) Y)))). % 0.47/0.68 Trying to prove (forall (X:fofType), ((r X) (eps (r X)))) % 0.47/0.68 Found rtotal0:=(rtotal X):((ex fofType) (fun (Y:fofType)=> ((r X) Y))) % 0.47/0.68 Found (rtotal X) as proof of ((ex fofType) (fun (X0:fofType)=> ((r X) X0))) % 0.47/0.68 Found (rtotal X) as proof of ((ex fofType) (fun (X0:fofType)=> ((r X) X0))) % 0.47/0.68 Found (epschoice0 (rtotal X)) as proof of ((r X) (eps (r X))) % 0.47/0.68 Found ((epschoice (r X)) (rtotal X)) as proof of ((r X) (eps (r X))) % 0.47/0.68 Found (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) as proof of ((r X) (eps (r X))) % 0.47/0.68 Found (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) as proof of (forall (X:fofType), ((r X) (eps (r X)))) % 0.47/0.68 Got proof (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) % 0.47/0.68 Time elapsed = 0.048334s % 0.47/0.68 node=16 cost=-56.000000 depth=5 % 0.47/0.68 :::::::::::::::::::::: % 0.47/0.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.68 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.47/0.68 (fun (X:fofType)=> ((epschoice (r X)) (rtotal X))) % 0.47/0.68 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------