TSTP Solution File: SYO083^5 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------