TSTP Solution File: SYO302^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO302^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 00:51:07 EDT 2022
% Result : Unknown 1.76s 1.90s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYO302^5 : TPTP v7.5.0. Released v4.0.0.
% 0.03/0.12 % Command : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % RAMPerCPU : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Mar 12 02:28:15 EST 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.13/0.34 Python 2.7.5
% 1.22/1.43 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 1.22/1.43 FOF formula (<kernel.Constant object at 0x129c638>, <kernel.Constant object at 0x129cf80>) of role type named c
% 1.22/1.43 Using role type
% 1.22/1.43 Declaring c:fofType
% 1.22/1.43 FOF formula (<kernel.Constant object at 0x1298320>, <kernel.Single object at 0x129ce60>) of role type named b
% 1.22/1.43 Using role type
% 1.22/1.43 Declaring b:fofType
% 1.22/1.43 FOF formula (<kernel.Constant object at 0x129cea8>, <kernel.Single object at 0x129cdd0>) of role type named a
% 1.22/1.43 Using role type
% 1.22/1.43 Declaring a:fofType
% 1.22/1.43 FOF formula (<kernel.Constant object at 0x129c488>, <kernel.DependentProduct object at 0x129cf80>) of role type named c_less_
% 1.22/1.43 Using role type
% 1.22/1.43 Declaring c_less_:(fofType->(fofType->Prop))
% 1.22/1.43 FOF formula (((and ((c_less_ a) b)) ((c_less_ b) c))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and ((and ((A a)->False)) (A b))) ((A c)->False))))) of role conjecture named cBLEDSOE4
% 1.22/1.43 Conjecture to prove = (((and ((c_less_ a) b)) ((c_less_ b) c))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and ((and ((A a)->False)) (A b))) ((A c)->False))))):Prop
% 1.22/1.43 We need to prove ['(((and ((c_less_ a) b)) ((c_less_ b) c))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and ((and ((A a)->False)) (A b))) ((A c)->False)))))']
% 1.22/1.43 Parameter fofType:Type.
% 1.22/1.43 Parameter c:fofType.
% 1.22/1.43 Parameter b:fofType.
% 1.22/1.43 Parameter a:fofType.
% 1.22/1.43 Parameter c_less_:(fofType->(fofType->Prop)).
% 1.22/1.43 Trying to prove (((and ((c_less_ a) b)) ((c_less_ b) c))->((ex (fofType->Prop)) (fun (A:(fofType->Prop))=> ((and ((and ((A a)->False)) (A b))) ((A c)->False)))))
% 1.22/1.43 Found x00:(x0 c)
% 1.22/1.43 Found x00 as proof of False
% 1.22/1.43 Found (fun (x00:(x0 c))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x0 c))=> x00) as proof of ((x0 c)->False)
% 1.22/1.43 Found x1:(x0 c)
% 1.22/1.43 Found x1 as proof of False
% 1.22/1.43 Found (fun (x1:(x0 c))=> x1) as proof of False
% 1.22/1.43 Found (fun (x1:(x0 c))=> x1) as proof of (not (x0 c))
% 1.22/1.43 Found x00:(x2 c)
% 1.22/1.43 Found x00 as proof of False
% 1.22/1.43 Found (fun (x00:(x2 c))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x2 c))=> x00) as proof of ((x2 c)->False)
% 1.22/1.43 Found x00:(x0 a)
% 1.22/1.43 Found (fun (x00:(x0 a))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x0 a))=> x00) as proof of ((x0 a)->False)
% 1.22/1.43 Found x00:(x0 a)
% 1.22/1.43 Found x00 as proof of False
% 1.22/1.43 Found (fun (x00:(x0 a))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x0 a))=> x00) as proof of ((x0 a)->False)
% 1.22/1.43 Found x1:(x0 a)
% 1.22/1.43 Found (fun (x1:(x0 a))=> x1) as proof of False
% 1.22/1.43 Found (fun (x1:(x0 a))=> x1) as proof of (not (x0 a))
% 1.22/1.43 Found x3:(x2 c)
% 1.22/1.43 Found x3 as proof of False
% 1.22/1.43 Found (fun (x3:(x2 c))=> x3) as proof of False
% 1.22/1.43 Found (fun (x3:(x2 c))=> x3) as proof of (not (x2 c))
% 1.22/1.43 Found x1:(x0 a)
% 1.22/1.43 Found x1 as proof of False
% 1.22/1.43 Found (fun (x1:(x0 a))=> x1) as proof of False
% 1.22/1.43 Found (fun (x1:(x0 a))=> x1) as proof of (not (x0 a))
% 1.22/1.43 Found x00:(x2 a)
% 1.22/1.43 Found (fun (x00:(x2 a))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x2 a))=> x00) as proof of ((x2 a)->False)
% 1.22/1.43 Found x2:((c_less_ b) c)
% 1.22/1.43 Instantiate: x0:=(fun (x3:fofType)=> ((c_less_ x3) c)):(fofType->Prop)
% 1.22/1.43 Found (fun (x2:((c_less_ b) c))=> x2) as proof of (x0 b)
% 1.22/1.43 Found (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2) as proof of (((c_less_ b) c)->(x0 b))
% 1.22/1.43 Found (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2) as proof of (((c_less_ a) b)->(((c_less_ b) c)->(x0 b)))
% 1.22/1.43 Found (and_rect00 (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.22/1.43 Found ((and_rect0 (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.22/1.43 Found (((fun (P:Type) (x1:(((c_less_ a) b)->(((c_less_ b) c)->P)))=> (((((and_rect ((c_less_ a) b)) ((c_less_ b) c)) P) x1) x)) (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.22/1.43 Found (((fun (P:Type) (x1:(((c_less_ a) b)->(((c_less_ b) c)->P)))=> (((((and_rect ((c_less_ a) b)) ((c_less_ b) c)) P) x1) x)) (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.22/1.43 Found x00:(x2 a)
% 1.22/1.43 Found x00 as proof of False
% 1.22/1.43 Found (fun (x00:(x2 a))=> x00) as proof of False
% 1.22/1.43 Found (fun (x00:(x2 a))=> x00) as proof of ((x2 a)->False)
% 1.22/1.43 Found x0000:=(x000 x1):False
% 1.22/1.43 Found (x000 x1) as proof of False
% 1.22/1.43 Found ((x00 x2) x1) as proof of False
% 1.22/1.43 Found ((x00 x2) x1) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 c))=> ((x00 x2) x1)) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 c))=> ((x00 x2) x1)) as proof of ((x0 c)->False)
% 1.76/1.90 Found x2:((c_less_ b) c)
% 1.76/1.90 Instantiate: x0:=(fun (x3:fofType)=> ((c_less_ x3) c)):(fofType->Prop)
% 1.76/1.90 Found (fun (x2:((c_less_ b) c))=> x2) as proof of (x0 b)
% 1.76/1.90 Found (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2) as proof of (((c_less_ b) c)->(x0 b))
% 1.76/1.90 Found (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2) as proof of (((c_less_ a) b)->(((c_less_ b) c)->(x0 b)))
% 1.76/1.90 Found (and_rect00 (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.76/1.90 Found ((and_rect0 (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.76/1.90 Found (((fun (P:Type) (x1:(((c_less_ a) b)->(((c_less_ b) c)->P)))=> (((((and_rect ((c_less_ a) b)) ((c_less_ b) c)) P) x1) x)) (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.76/1.90 Found (((fun (P:Type) (x1:(((c_less_ a) b)->(((c_less_ b) c)->P)))=> (((((and_rect ((c_less_ a) b)) ((c_less_ b) c)) P) x1) x)) (x0 b)) (fun (x1:((c_less_ a) b)) (x2:((c_less_ b) c))=> x2)) as proof of (x0 b)
% 1.76/1.90 Found x3:(x2 a)
% 1.76/1.90 Found (fun (x3:(x2 a))=> x3) as proof of False
% 1.76/1.90 Found (fun (x3:(x2 a))=> x3) as proof of (not (x2 a))
% 1.76/1.90 Found x00:(x0 a)
% 1.76/1.90 Found (fun (x00:(x0 a))=> x00) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 a))=> x00) as proof of ((x0 a)->False)
% 1.76/1.90 Found x3:(x2 a)
% 1.76/1.90 Found x3 as proof of False
% 1.76/1.90 Found (fun (x3:(x2 a))=> x3) as proof of False
% 1.76/1.90 Found (fun (x3:(x2 a))=> x3) as proof of (not (x2 a))
% 1.76/1.90 Found x300:=(x30 x1):False
% 1.76/1.90 Found (x30 x1) as proof of False
% 1.76/1.90 Found ((x3 x2) x1) as proof of False
% 1.76/1.90 Found ((x3 x2) x1) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 c))=> ((x3 x2) x1)) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 c))=> ((x3 x2) x1)) as proof of (not (x0 c))
% 1.76/1.90 Found x3:(x0 a)
% 1.76/1.90 Found (fun (x3:(x0 a))=> x3) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 a))=> x3) as proof of (not (x0 a))
% 1.76/1.90 Found x0000:=(x000 x2):False
% 1.76/1.90 Found (x000 x2) as proof of False
% 1.76/1.90 Found ((x00 x1) x2) as proof of False
% 1.76/1.90 Found ((x00 x1) x2) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 a))=> ((x00 x1) x2)) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 a))=> ((x00 x1) x2)) as proof of ((x0 a)->False)
% 1.76/1.90 Found x1:((c_less_ a) b)
% 1.76/1.90 Found x1 as proof of ((c_less_ a) b)
% 1.76/1.90 Found x0000:=(x000 x2):False
% 1.76/1.90 Found (x000 x2) as proof of False
% 1.76/1.90 Found ((x00 x1) x2) as proof of False
% 1.76/1.90 Found ((x00 x1) x2) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 a))=> ((x00 x1) x2)) as proof of False
% 1.76/1.90 Found (fun (x00:(x0 a))=> ((x00 x1) x2)) as proof of ((x0 a)->False)
% 1.76/1.90 Found x1:((c_less_ a) b)
% 1.76/1.90 Found x1 as proof of ((c_less_ a) b)
% 1.76/1.90 Found x300:=(x30 x2):False
% 1.76/1.90 Found (x30 x2) as proof of False
% 1.76/1.90 Found ((x3 x1) x2) as proof of False
% 1.76/1.90 Found ((x3 x1) x2) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 a))=> ((x3 x1) x2)) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 a))=> ((x3 x1) x2)) as proof of (not (x0 a))
% 1.76/1.90 Found x300:=(x30 x2):False
% 1.76/1.90 Found (x30 x2) as proof of False
% 1.76/1.90 Found ((x3 x1) x2) as proof of False
% 1.76/1.90 Found ((x3 x1) x2) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 a))=> ((x3 x1) x2)) as proof of False
% 1.76/1.90 Found (fun (x3:(x0 a))=> ((x3 x1) x2)) as proof of (not (x0 a))
% 1.76/1.90 Found x1:((c_less_ a) b)
% 1.76/1.90 Found x1 as proof of ((c_less_ a) b)
% 1.76/1.90 % SZS status GaveUp for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------