TSTP Solution File: SYO270^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO270^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 00:51:02 EDT 2022
% Result : Unknown 0.55s 0.75s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYO270^5 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n027.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 : Sat Mar 12 00:03:42 EST 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 0x277dd40>, <kernel.DependentProduct object at 0x277d200>) of role type named h
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring h:(fofType->fofType)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x2ae997db2320>, <kernel.DependentProduct object at 0x277de60>) of role type named g
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring g:(fofType->fofType)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0x277dd40>, <kernel.DependentProduct object at 0x277d5a8>) of role type named cP
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring cP:(fofType->(fofType->Prop))
% 0.55/0.75 FOF formula ((ex fofType) (fun (Xx:fofType)=> ((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> (forall (Xy:fofType), (((and (forall (Xz:fofType), ((cP Xz) (Xf Xx)))) ((cP Xx) Xy))->((cP Xy) (g (h Xy))))))))) of role conjecture named cTHM85
% 0.55/0.75 Conjecture to prove = ((ex fofType) (fun (Xx:fofType)=> ((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> (forall (Xy:fofType), (((and (forall (Xz:fofType), ((cP Xz) (Xf Xx)))) ((cP Xx) Xy))->((cP Xy) (g (h Xy))))))))):Prop
% 0.55/0.75 Parameter fofType_DUMMY:fofType.
% 0.55/0.75 We need to prove ['((ex fofType) (fun (Xx:fofType)=> ((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> (forall (Xy:fofType), (((and (forall (Xz:fofType), ((cP Xz) (Xf Xx)))) ((cP Xx) Xy))->((cP Xy) (g (h Xy)))))))))']
% 0.55/0.75 Parameter fofType:Type.
% 0.55/0.75 Parameter h:(fofType->fofType).
% 0.55/0.75 Parameter g:(fofType->fofType).
% 0.55/0.75 Parameter cP:(fofType->(fofType->Prop)).
% 0.55/0.75 Trying to prove ((ex fofType) (fun (Xx:fofType)=> ((ex (fofType->fofType)) (fun (Xf:(fofType->fofType))=> (forall (Xy:fofType), (((and (forall (Xz:fofType), ((cP Xz) (Xf Xx)))) ((cP Xx) Xy))->((cP Xy) (g (h Xy)))))))))
% 0.55/0.75 Found x0000:=(x000 Xy):((cP Xy) (x0 x))
% 0.55/0.75 Found (x000 Xy) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found (x000 Xy) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found (fun (x001:((cP x) Xy))=> (x000 Xy)) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy)) as proof of (((cP x) Xy)->((cP Xy) (g (h Xy))))
% 0.55/0.75 Found (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy)) as proof of ((forall (Xz:fofType), ((cP Xz) (x0 x)))->(((cP x) Xy)->((cP Xy) (g (h Xy)))))
% 0.55/0.75 Found (and_rect00 (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy))) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found ((and_rect0 ((cP Xy) (g (h Xy)))) (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy))) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found (((fun (P:Type) (x1:((forall (Xz:fofType), ((cP Xz) (x0 x)))->(((cP x) Xy)->P)))=> (((((and_rect (forall (Xz:fofType), ((cP Xz) (x0 x)))) ((cP x) Xy)) P) x1) x00)) ((cP Xy) (g (h Xy)))) (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy))) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 Found (fun (x00:((and (forall (Xz:fofType), ((cP Xz) (x0 x)))) ((cP x) Xy)))=> (((fun (P:Type) (x1:((forall (Xz:fofType), ((cP Xz) (x0 x)))->(((cP x) Xy)->P)))=> (((((and_rect (forall (Xz:fofType), ((cP Xz) (x0 x)))) ((cP x) Xy)) P) x1) x00)) ((cP Xy) (g (h Xy)))) (fun (x000:(forall (Xz:fofType), ((cP Xz) (x0 x)))) (x001:((cP x) Xy))=> (x000 Xy)))) as proof of ((cP Xy) (g (h Xy)))
% 0.55/0.75 % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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