%------------------------------------------------------------------------------ % File : cocATP---0.2.0 % Problem : SYO547^1 : TPTP v7.5.0. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n015.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 00:52:04 EDT 2022 % Result : Theorem 0.55s 0.75s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.10 % Problem : SYO547^1 : TPTP v7.5.0. Released v5.2.0. % 0.03/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.32 % Computer : n015.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % RAMPerCPU : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % DateTime : Sun Mar 13 19:40:35 EDT 2022 % 0.12/0.32 % CPUTime : % 0.12/0.33 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27' % 0.12/0.33 Python 2.7.5 % 0.55/0.75 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/'] % 0.55/0.75 FOF formula (<kernel.Constant object at 0x18b6998>, <kernel.DependentProduct object at 0x1615710>) of role type named eps % 0.55/0.75 Using role type % 0.55/0.75 Declaring eps:((fofType->Prop)->fofType) % 0.55/0.75 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named choiceax % 0.55/0.75 A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) % 0.55/0.75 FOF formula (<kernel.Constant object at 0x16192d8>, <kernel.DependentProduct object at 0x16155a8>) of role type named epscomp % 0.55/0.75 Using role type % 0.55/0.75 Declaring epscomp:((fofType->Prop)->fofType) % 0.55/0.75 FOF formula (((eq ((fofType->Prop)->fofType)) epscomp) (fun (P:(fofType->Prop))=> (eps (fun (X:fofType)=> ((P X)->False))))) of role definition named epscompd % 0.55/0.75 A new definition: (((eq ((fofType->Prop)->fofType)) epscomp) (fun (P:(fofType->Prop))=> (eps (fun (X:fofType)=> ((P X)->False))))) % 0.55/0.75 Defined: epscomp:=(fun (P:(fofType->Prop))=> (eps (fun (X:fofType)=> ((P X)->False)))) % 0.55/0.75 FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (epscomp P))->False))) of role conjecture named choicecomp % 0.55/0.75 Conjecture to prove = (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (epscomp P))->False))):Prop % 0.55/0.75 Parameter fofType_DUMMY:fofType. % 0.55/0.75 We need to prove ['(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (epscomp P))->False)))'] % 0.55/0.75 Parameter fofType:Type. % 0.55/0.75 Parameter eps:((fofType->Prop)->fofType). % 0.55/0.75 Axiom choiceax:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))). % 0.55/0.75 Definition epscomp:=(fun (P:(fofType->Prop))=> (eps (fun (X:fofType)=> ((P X)->False)))):((fofType->Prop)->fofType). % 0.55/0.75 Trying to prove (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (epscomp P))->False))) % 0.55/0.75 Found choiceax0:=(choiceax (fun (x1:fofType)=> (not (P x1)))):(((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (eps (fun (x1:fofType)=> (not (P x1))))))) % 0.55/0.75 Found (choiceax (fun (x1:fofType)=> (not (P x1)))) as proof of (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (epscomp P)))) % 0.55/0.75 Found (fun (P:(fofType->Prop))=> (choiceax (fun (x1:fofType)=> (not (P x1))))) as proof of (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (epscomp P)))) % 0.55/0.75 Found (fun (P:(fofType->Prop))=> (choiceax (fun (x1:fofType)=> (not (P x1))))) as proof of (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (not (P X))))->(not (P (epscomp P))))) % 0.55/0.75 Found (fun (P:(fofType->Prop))=> (choiceax (fun (x1:fofType)=> (not (P x1))))) as proof of (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> ((P X)->False)))->((P (epscomp P))->False))) % 0.55/0.75 Got proof (fun (P:(fofType->Prop))=> (choiceax (fun (x1:fofType)=> (not (P x1))))) % 0.55/0.75 Time elapsed = 0.141536s % 0.55/0.75 node=28 cost=-45.000000 depth=3 % 0.55/0.75 :::::::::::::::::::::: % 0.55/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.55/0.75 (fun (P:(fofType->Prop))=> (choiceax (fun (x1:fofType)=> (not (P x1))))) % 0.55/0.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p %------------------------------------------------------------------------------