TSTP Solution File: SYO547^1 by cocATP---0.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------