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cocATP---0.2.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO083^5 : 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 00:50:37 EDT 2022

% Result   : Theorem 0.62s 0.79s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : SYO083^5 : TPTP v7.5.0. Released v4.0.0.
% 0.11/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n013.cluster.edu
% 0.12/0.33  % Model      : x86_64 x86_64
% 0.12/0.33  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % RAMPerCPU  : 8042.1875MB
% 0.12/0.33  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % DateTime   : Fri Mar 11 14:29:52 EST 2022
% 0.12/0.33  % CPUTime    : 
% 0.12/0.34  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.12/0.34  Python 2.7.5
% 0.62/0.78  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.62/0.78  FOF formula (<kernel.Constant object at 0x2222ea8>, <kernel.DependentProduct object at 0x2b0724c69950>) of role type named cP
% 0.62/0.78  Using role type
% 0.62/0.78  Declaring cP:(fofType->(fofType->Prop))
% 0.62/0.78  FOF formula (<kernel.Constant object at 0x222cea8>, <kernel.Single object at 0x2222f80>) of role type named cB
% 0.62/0.78  Using role type
% 0.62/0.78  Declaring cB:fofType
% 0.62/0.78  FOF formula (<kernel.Constant object at 0x2222ea8>, <kernel.Single object at 0x2222c20>) of role type named cA
% 0.62/0.78  Using role type
% 0.62/0.78  Declaring cA:fofType
% 0.62/0.78  FOF formula (((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB)))->((ex fofType) (fun (X:fofType)=> ((cP X) X)))) of role conjecture named cTHM62
% 0.62/0.78  Conjecture to prove = (((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB)))->((ex fofType) (fun (X:fofType)=> ((cP X) X)))):Prop
% 0.62/0.78  We need to prove ['(((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB)))->((ex fofType) (fun (X:fofType)=> ((cP X) X))))']
% 0.62/0.78  Parameter fofType:Type.
% 0.62/0.78  Parameter cP:(fofType->(fofType->Prop)).
% 0.62/0.78  Parameter cB:fofType.
% 0.62/0.78  Parameter cA:fofType.
% 0.62/0.78  Trying to prove (((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB)))->((ex fofType) (fun (X:fofType)=> ((cP X) X))))
% 0.62/0.78  Found x10:=(x1 x0):((cP cA) x0)
% 0.62/0.78  Found (x1 x0) as proof of ((cP x0) x0)
% 0.62/0.78  Found (x1 x0) as proof of ((cP x0) x0)
% 0.62/0.78  Found (fun (x1:(forall (U:fofType), ((cP cA) U)))=> (x1 x0)) as proof of ((cP x0) x0)
% 0.62/0.78  Found (fun (x1:(forall (U:fofType), ((cP cA) U)))=> (x1 x0)) as proof of ((forall (U:fofType), ((cP cA) U))->((cP x0) x0))
% 0.62/0.78  Found x10:=(x1 x0):((cP x0) cB)
% 0.62/0.78  Found (x1 x0) as proof of ((cP x0) x0)
% 0.62/0.78  Found (x1 x0) as proof of ((cP x0) x0)
% 0.62/0.78  Found (fun (x1:(forall (V:fofType), ((cP V) cB)))=> (x1 x0)) as proof of ((cP x0) x0)
% 0.62/0.78  Found (fun (x1:(forall (V:fofType), ((cP V) cB)))=> (x1 x0)) as proof of ((forall (V:fofType), ((cP V) cB))->((cP x0) x0))
% 0.62/0.78  Found x00:=(x0 x1):((cP cA) x1)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found ((ex_intro00 cA) (x0 cA)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (((ex_intro0 (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA))) as proof of ((forall (U:fofType), ((cP cA) U))->((ex fofType) (fun (X:fofType)=> ((cP X) X))))
% 0.62/0.78  Found x00:=(x0 x1):((cP x1) cB)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (x0 x1) as proof of ((cP x1) x1)
% 0.62/0.78  Found (ex_intro000 (x0 x1)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found ((ex_intro00 cB) (x0 cB)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (((ex_intro0 (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.78  Found (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB))) as proof of ((forall (V:fofType), ((cP V) cB))->((ex fofType) (fun (X:fofType)=> ((cP X) X))))
% 0.62/0.78  Found ((or_ind00 (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.79  Found (((or_ind0 ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.79  Found ((((fun (P:Prop) (x0:((forall (U:fofType), ((cP cA) U))->P)) (x1:((forall (V:fofType), ((cP V) cB))->P))=> ((((((or_ind (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))) P) x0) x1) x)) ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.79  Found (fun (x:((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))))=> ((((fun (P:Prop) (x0:((forall (U:fofType), ((cP cA) U))->P)) (x1:((forall (V:fofType), ((cP V) cB))->P))=> ((((((or_ind (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))) P) x0) x1) x)) ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB))))) as proof of ((ex fofType) (fun (X:fofType)=> ((cP X) X)))
% 0.62/0.79  Found (fun (x:((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))))=> ((((fun (P:Prop) (x0:((forall (U:fofType), ((cP cA) U))->P)) (x1:((forall (V:fofType), ((cP V) cB))->P))=> ((((((or_ind (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))) P) x0) x1) x)) ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB))))) as proof of (((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB)))->((ex fofType) (fun (X:fofType)=> ((cP X) X))))
% 0.62/0.79  Got proof (fun (x:((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))))=> ((((fun (P:Prop) (x0:((forall (U:fofType), ((cP cA) U))->P)) (x1:((forall (V:fofType), ((cP V) cB))->P))=> ((((((or_ind (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))) P) x0) x1) x)) ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)))))
% 0.62/0.79  Time elapsed = 0.166064s
% 0.62/0.79  node=40 cost=214.000000 depth=13
% 0.62/0.79  ::::::::::::::::::::::
% 0.62/0.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.79  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.79  (fun (x:((or (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))))=> ((((fun (P:Prop) (x0:((forall (U:fofType), ((cP cA) U))->P)) (x1:((forall (V:fofType), ((cP V) cB))->P))=> ((((((or_ind (forall (U:fofType), ((cP cA) U))) (forall (V:fofType), ((cP V) cB))) P) x0) x1) x)) ((ex fofType) (fun (X:fofType)=> ((cP X) X)))) (fun (x0:(forall (U:fofType), ((cP cA) U)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cA) (x0 cA)))) (fun (x0:(forall (V:fofType), ((cP V) cB)))=> ((((ex_intro fofType) (fun (X:fofType)=> ((cP X) X))) cB) (x0 cB)))))
% 0.62/0.79  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------