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cocATP---0.2.0.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cocATP---0.2.0
% Problem  : SYO551^1 : TPTP v7.5.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n024.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 00:52:05 EDT 2022

% Result   : Theorem 0.75s 0.92s
% Output   : Proof 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SYO551^1 : TPTP v7.5.0. Released v5.2.0.
% 0.07/0.12  % Command    : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer   : n024.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   : Sun Mar 13 19:58:18 EDT 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
% 0.75/0.92  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.75/0.92  FOF formula ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) of role conjecture named claim
% 0.75/0.92  Conjecture to prove = ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))):Prop
% 0.75/0.92  Parameter fofType_DUMMY:fofType.
% 0.75/0.92  We need to prove ['((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))']
% 0.75/0.92  Parameter fofType:Type.
% 0.75/0.92  Trying to prove ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Found eq_ref00:=(eq_ref0 (x X)):(((eq (fofType->fofType)) (x X)) (x X))
% 0.75/0.92  Found (eq_ref0 (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92  Found ((eq_ref (fofType->fofType)) (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92  Found ((eq_ref (fofType->fofType)) (x X)) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92  Found (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X))) as proof of (((eq (fofType->fofType)) (x X)) X)
% 0.75/0.92  Found (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X))) as proof of (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (x X)) X))
% 0.75/0.92  Found (ex_intro000 (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) (x X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Found ((ex_intro00 (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Found (((ex_intro0 (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Found ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Found ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X)))) as proof of ((ex ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X))))
% 0.75/0.92  Got proof ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X))))
% 0.75/0.92  Time elapsed = 0.305655s
% 0.75/0.92  node=71 cost=55.000000 depth=9
% 0.75/0.92  ::::::::::::::::::::::
% 0.75/0.92  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.93  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.75/0.93  ((((ex_intro ((fofType->fofType)->(fofType->fofType))) (fun (F:((fofType->fofType)->(fofType->fofType)))=> (forall (X:(fofType->fofType)), (((eq (fofType->fofType)) (F X)) X)))) (fun (x2:(fofType->fofType))=> x2)) (fun (X:(fofType->fofType))=> ((eq_ref (fofType->fofType)) ((fun (x2:(fofType->fofType))=> x2) X))))
% 0.75/0.93  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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