%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO027^1 : TPTP v7.5.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n017.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 00:50:25 EDT 2022

% Result   : Theorem 0.41s 0.60s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SYO027^1 : TPTP v7.5.0. Released v3.7.0.
% 0.03/0.11  % Command    : python CASC.py /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Computer   : n017.cluster.edu
% 0.11/0.32  % Model      : x86_64 x86_64
% 0.11/0.32  % CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % RAMPerCPU  : 8042.1875MB
% 0.11/0.32  % OS         : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % DateTime   : Fri Mar 11 02:27:07 EST 2022
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.11/0.33  Python 2.7.5
% 0.41/0.60  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.41/0.60  FOF formula ((ex Prop) (fun (P:Prop)=> P)) of role conjecture named conj
% 0.41/0.60  Conjecture to prove = ((ex Prop) (fun (P:Prop)=> P)):Prop
% 0.41/0.60  We need to prove ['((ex Prop) (fun (P:Prop)=> P))']
% 0.41/0.60  Trying to prove ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Found ex_ind:(forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))
% 0.41/0.60  Found ex_ind as proof of (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))
% 0.41/0.60  Found (ex_intro000 ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Found ((ex_intro00 (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Found (((ex_intro0 (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Found ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Found ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind) as proof of ((ex Prop) (fun (P:Prop)=> P))
% 0.41/0.60  Got proof ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind)
% 0.41/0.60  Time elapsed = 0.039137s
% 0.41/0.60  node=24 cost=313.000000 depth=5
% 0.41/0.60  ::::::::::::::::::::::
% 0.41/0.60  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60  ((((ex_intro Prop) (fun (P:Prop)=> P)) (forall (A:Type) (F:(A->Prop)) (P:Prop), ((forall (x:A), ((F x)->P))->(((ex A) F)->P)))) ex_ind)
% 0.41/0.60  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------