TSTP Solution File: SYO140^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO140^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 00:50:44 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
% 0.06/0.11 % Problem : SYO140^5 : TPTP v7.5.0. Released v4.0.0.
% 0.06/0.11 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.32 % Computer : n013.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 : Fri Mar 11 16:17:52 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 0xd8dc68>, <kernel.DependentProduct object at 0xd8d248>) of role type named cQ
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring cQ:(fofType->Prop)
% 0.55/0.75 FOF formula (<kernel.Constant object at 0xd91c20>, <kernel.DependentProduct object at 0xd8dab8>) of role type named cP
% 0.55/0.75 Using role type
% 0.55/0.75 Declaring cP:(fofType->Prop)
% 0.55/0.75 FOF formula (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))) of role conjecture named cADDHYP6
% 0.55/0.75 Conjecture to prove = (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))):Prop
% 0.55/0.75 Parameter fofType_DUMMY:fofType.
% 0.55/0.75 We need to prove ['(((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))))']
% 0.55/0.75 Parameter fofType:Type.
% 0.55/0.75 Parameter cQ:(fofType->Prop).
% 0.55/0.75 Parameter cP:(fofType->Prop).
% 0.55/0.75 Trying to prove (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))))
% 0.55/0.75 Found x00:=(x0 x2):((cP x2)->(cQ x2))
% 0.55/0.75 Found (x0 x2) as proof of ((cP x2)->(cQ x1))
% 0.55/0.75 Found (x0 x2) as proof of ((cP x2)->(cQ x1))
% 0.55/0.75 Found x2:(cP x1)
% 0.55/0.75 Instantiate: x3:=x1:fofType
% 0.55/0.75 Found x2 as proof of (cP x3)
% 0.55/0.75 Found (x00 x2) as proof of (cQ x3)
% 0.55/0.75 Found ((x0 x3) x2) as proof of (cQ x3)
% 0.55/0.75 Found ((x0 x3) x2) as proof of (cQ x3)
% 0.55/0.75 Found (ex_intro000 ((x0 x3) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found ((ex_intro00 x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (((ex_intro0 (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (fun (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of ((cP x1)->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))
% 0.55/0.75 Found (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))) as proof of (forall (x:fofType), ((cP x)->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))))
% 0.55/0.75 Found (ex_ind00 (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found ((ex_ind0 ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (fun (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))
% 0.55/0.75 Found (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of ((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx))))
% 0.55/0.75 Found (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2))))) as proof of (((ex fofType) (fun (Xx:fofType)=> (cP Xx)))->((forall (Xx:fofType), ((cP Xx)->(cQ Xx)))->((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))))
% 0.55/0.75 Got proof (fun (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))))
% 0.55/0.75 Time elapsed = 0.161591s
% 0.55/0.75 node=32 cost=387.000000 depth=16
% 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 (x:((ex fofType) (fun (Xx:fofType)=> (cP Xx)))) (x0:(forall (Xx:fofType), ((cP Xx)->(cQ Xx))))=> (((fun (P:Prop) (x1:(forall (x:fofType), ((cP x)->P)))=> (((((ex_ind fofType) (fun (Xx:fofType)=> (cP Xx))) P) x1) x)) ((ex fofType) (fun (Xx:fofType)=> (cQ Xx)))) (fun (x1:fofType) (x2:(cP x1))=> ((((ex_intro fofType) (fun (Xx:fofType)=> (cQ Xx))) x1) ((x0 x1) x2)))))
% 0.55/0.75 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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