TSTP Solution File: SYO147^5 by cocATP---0.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO147^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 00:50:45 EDT 2022

% Result   : Unknown 0.62s 0.78s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : SYO147^5 : TPTP v7.5.0. Released v4.0.0.
% 0.10/0.11  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Computer   : n005.cluster.edu
% 0.11/0.32  % Model      : x86_64 x86_64
% 0.11/0.32  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % RAMPerCPU  : 8042.1875MB
% 0.11/0.32  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % DateTime   : Fri Mar 11 16:36:12 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
% 0.62/0.77  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.62/0.77  FOF formula (<kernel.Constant object at 0x1916d40>, <kernel.DependentProduct object at 0x1916638>) of role type named cP3
% 0.62/0.77  Using role type
% 0.62/0.77  Declaring cP3:(fofType->Prop)
% 0.62/0.77  FOF formula (<kernel.Constant object at 0x191ad40>, <kernel.DependentProduct object at 0x19162d8>) of role type named cP2
% 0.62/0.77  Using role type
% 0.62/0.77  Declaring cP2:(fofType->Prop)
% 0.62/0.77  FOF formula (<kernel.Constant object at 0x1916d40>, <kernel.DependentProduct object at 0x1916ea8>) of role type named cP1
% 0.62/0.77  Using role type
% 0.62/0.77  Declaring cP1:(fofType->Prop)
% 0.62/0.77  FOF formula ((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), (((and ((and (cP1 Xx)) ((cP1 Xy)->(cP2 Xx)))) ((cP2 Xy)->(cP3 Xx)))->(cP3 Xy))))) of role conjecture named cBAFFLER3
% 0.62/0.77  Conjecture to prove = ((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), (((and ((and (cP1 Xx)) ((cP1 Xy)->(cP2 Xx)))) ((cP2 Xy)->(cP3 Xx)))->(cP3 Xy))))):Prop
% 0.62/0.77  Parameter fofType_DUMMY:fofType.
% 0.62/0.77  We need to prove ['((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), (((and ((and (cP1 Xx)) ((cP1 Xy)->(cP2 Xx)))) ((cP2 Xy)->(cP3 Xx)))->(cP3 Xy)))))']
% 0.62/0.77  Parameter fofType:Type.
% 0.62/0.77  Parameter cP3:(fofType->Prop).
% 0.62/0.77  Parameter cP2:(fofType->Prop).
% 0.62/0.77  Parameter cP1:(fofType->Prop).
% 0.62/0.77  Trying to prove ((ex fofType) (fun (Xy:fofType)=> (forall (Xx:fofType), (((and ((and (cP1 Xx)) ((cP1 Xy)->(cP2 Xx)))) ((cP2 Xy)->(cP3 Xx)))->(cP3 Xy)))))
% 0.62/0.77  Found x030:=(x03 x02):(cP2 Xx)
% 0.62/0.77  Found (x03 x02) as proof of (cP2 x)
% 0.62/0.77  Found (x03 x02) as proof of (cP2 x)
% 0.62/0.77  Found (x01 (x03 x02)) as proof of (cP3 x)
% 0.62/0.77  Found (x01 (x03 x02)) as proof of (cP3 x)
% 0.62/0.77  Found (fun (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))) as proof of (cP3 x)
% 0.62/0.77  Found (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))) as proof of (((cP1 x)->(cP2 Xx))->(cP3 x))
% 0.62/0.77  Found (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))) as proof of ((cP1 Xx)->(((cP1 x)->(cP2 Xx))->(cP3 x)))
% 0.62/0.77  Found (and_rect10 (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))) as proof of (cP3 x)
% 0.62/0.77  Found ((and_rect1 (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))) as proof of (cP3 x)
% 0.62/0.77  Found (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))) as proof of (cP3 x)
% 0.62/0.77  Found (fun (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))))) as proof of (cP3 x)
% 0.62/0.77  Found (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))))) as proof of (((cP2 x)->(cP3 Xx))->(cP3 x))
% 0.62/0.77  Found (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))))) as proof of (((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))->(((cP2 x)->(cP3 Xx))->(cP3 x)))
% 0.62/0.77  Found (and_rect00 (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))))) as proof of (cP3 x)
% 0.62/0.77  Found ((and_rect0 (cP3 x)) (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))))) as proof of (cP3 x)
% 0.62/0.77  Found (((fun (P:Type) (x1:(((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))->(((cP2 x)->(cP3 Xx))->P)))=> (((((and_rect ((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) ((cP2 x)->(cP3 Xx))) P) x1) x0)) (cP3 x)) (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02)))))) as proof of (cP3 x)
% 0.62/0.78  Found (fun (x0:((and ((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) ((cP2 x)->(cP3 Xx))))=> (((fun (P:Type) (x1:(((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))->(((cP2 x)->(cP3 Xx))->P)))=> (((((and_rect ((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) ((cP2 x)->(cP3 Xx))) P) x1) x0)) (cP3 x)) (fun (x00:((and (cP1 Xx)) ((cP1 x)->(cP2 Xx)))) (x01:((cP2 x)->(cP3 Xx)))=> (((fun (P:Type) (x1:((cP1 Xx)->(((cP1 x)->(cP2 Xx))->P)))=> (((((and_rect (cP1 Xx)) ((cP1 x)->(cP2 Xx))) P) x1) x00)) (cP3 x)) (fun (x02:(cP1 Xx)) (x03:((cP1 x)->(cP2 Xx)))=> (x01 (x03 x02))))))) as proof of (cP3 x)
% 0.62/0.78  % SZS status GaveUp for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------