TSTP Solution File: SYO381^5 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO381^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 00:51:18 EDT 2022

% Result   : Unknown 0.76s 0.96s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYO381^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Computer   : n012.cluster.edu
% 0.11/0.33  % Model      : x86_64 x86_64
% 0.11/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % RAMPerCPU  : 8042.1875MB
% 0.11/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % DateTime   : Sat Mar 12 09:42:19 EST 2022
% 0.11/0.33  % CPUTime    : 
% 0.11/0.33  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.34  Python 2.7.5
% 0.76/0.95  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.76/0.95  FOF formula (<kernel.Constant object at 0x1dbbe60>, <kernel.DependentProduct object at 0x2b8fdf4aeb00>) of role type named cR
% 0.76/0.95  Using role type
% 0.76/0.95  Declaring cR:(fofType->(fofType->Prop))
% 0.76/0.95  FOF formula ((ex fofType) (fun (Xx:fofType)=> ((iff ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))) (forall (Xw:fofType), ((cR Xx) Xw))))) of role conjecture named cX_2002_12_17
% 0.76/0.95  Conjecture to prove = ((ex fofType) (fun (Xx:fofType)=> ((iff ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))) (forall (Xw:fofType), ((cR Xx) Xw))))):Prop
% 0.76/0.95  Parameter fofType_DUMMY:fofType.
% 0.76/0.95  We need to prove ['((ex fofType) (fun (Xx:fofType)=> ((iff ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))) (forall (Xw:fofType), ((cR Xx) Xw)))))']
% 0.76/0.95  Parameter fofType:Type.
% 0.76/0.95  Parameter cR:(fofType->(fofType->Prop)).
% 0.76/0.95  Trying to prove ((ex fofType) (fun (Xx:fofType)=> ((iff ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))) (forall (Xw:fofType), ((cR Xx) Xw)))))
% 0.76/0.95  Found x10:=(x1 Xw):((cR x00) Xw)
% 0.76/0.95  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.95  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.95  Found (fun (x1:(forall (Xy:fofType), ((cR x00) Xy)))=> (x1 Xw)) as proof of ((cR x) Xw)
% 0.76/0.95  Found ex_intro0100:=(ex_intro010 x0):((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (ex_intro010 x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found ((ex_intro01 x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((forall (Xw:fofType), ((cR x) Xw))->((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))))
% 0.76/0.95  Found ex_intro0100:=(ex_intro010 x0):((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (ex_intro010 x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found ((ex_intro01 x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((forall (Xw:fofType), ((cR x) Xw))->((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))))
% 0.76/0.95  Found x10:=(x1 Xw):((cR x00) Xw)
% 0.76/0.95  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.95  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.95  Found (fun (x1:(forall (Xy:fofType), ((cR x00) Xy)))=> (x1 Xw)) as proof of ((cR x) Xw)
% 0.76/0.95  Found ex_intro0100:=(ex_intro010 x0):((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (ex_intro010 x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found ((ex_intro01 x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.95  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy))))
% 0.76/0.96  Found (fun (x0:(forall (Xw:fofType), ((cR x) Xw)))=> (((ex_intro0 (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))) x) x0)) as proof of ((forall (Xw:fofType), ((cR x) Xw))->((ex fofType) (fun (Xz:fofType)=> (forall (Xy:fofType), ((cR Xz) Xy)))))
% 0.76/0.96  Found x10:=(x1 Xw):((cR x00) Xw)
% 0.76/0.96  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.96  Found (x1 Xw) as proof of ((cR x) Xw)
% 0.76/0.96  Found (fun (x1:(forall (Xy:fofType), ((cR x00) Xy)))=> (x1 Xw)) as proof of ((cR x) Xw)
% 0.76/0.96  % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
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