TSTP Solution File: SYO281^5 by cocATP---0.2.0
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%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO281^5 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 00:51:04 EDT 2022
% Result : Theorem 0.46s 0.71s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYO281^5 : TPTP v7.5.0. Released v4.0.0.
% 0.07/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n004.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 : Sat Mar 12 00:31:55 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
% 0.46/0.71 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.46/0.71 FOF formula (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))) of role conjecture named cTRIV3
% 0.46/0.71 Conjecture to prove = (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))):Prop
% 0.46/0.71 Parameter fofType_DUMMY:fofType.
% 0.46/0.71 We need to prove ['(forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))))']
% 0.46/0.71 Parameter fofType:Type.
% 0.46/0.71 Trying to prove (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))))
% 0.46/0.71 Found x0:(Xp Xx)
% 0.46/0.71 Instantiate: x:=Xp:(fofType->Prop)
% 0.46/0.71 Found (fun (x0:(Xp Xx))=> x0) as proof of (x Xx)
% 0.46/0.71 Found (fun (Xx:fofType) (x0:(Xp Xx))=> x0) as proof of ((Xp Xx)->(x Xx))
% 0.46/0.71 Found (fun (Xx:fofType) (x0:(Xp Xx))=> x0) as proof of (forall (Xx:fofType), ((Xp Xx)->(x Xx)))
% 0.46/0.71 Found (ex_intro000 (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))
% 0.46/0.71 Found ((ex_intro00 Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))
% 0.46/0.71 Found (((ex_intro0 (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))
% 0.46/0.71 Found ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))
% 0.46/0.71 Found (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) as proof of ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx)))))
% 0.46/0.71 Found (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0))) as proof of (forall (Xp:(fofType->Prop)), ((ex (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))))
% 0.46/0.71 Got proof (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)))
% 0.46/0.71 Time elapsed = 0.084686s
% 0.46/0.71 node=8 cost=230.000000 depth=8
% 0.46/0.71 ::::::::::::::::::::::
% 0.46/0.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.71 (fun (Xp:(fofType->Prop))=> ((((ex_intro (fofType->Prop)) (fun (Xq:(fofType->Prop))=> (forall (Xx:fofType), ((Xp Xx)->(Xq Xx))))) Xp) (fun (Xx:fofType) (x0:(Xp Xx))=> x0)))
% 0.46/0.71 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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