TSTP Solution File: SYO520^1 by cocATP---0.2.0

View Problem - Process Solution

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% File     : cocATP---0.2.0
% Problem  : SYO520^1 : TPTP v7.5.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python CASC.py /export/starexec/sandbox/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 00:52:01 EDT 2022

% Result   : Unknown 0.52s 0.68s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SYO520^1 : TPTP v7.5.0. Released v4.1.0.
% 0.06/0.12  % Command    : python CASC.py /export/starexec/sandbox/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 14:15:48 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'
% 0.12/0.35  Python 2.7.5
% 0.48/0.68  Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox/benchmark/', '/export/starexec/sandbox/benchmark/']
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x2b21c46446c8>, <kernel.DependentProduct object at 0x2b21c46443b0>) of role type named eps
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring eps:((fofType->Prop)->fofType)
% 0.48/0.68  FOF formula (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))) of role axiom named epschoice
% 0.48/0.68  A new axiom: (forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P))))
% 0.48/0.68  FOF formula (<kernel.Constant object at 0x2b21c4644ea8>, <kernel.DependentProduct object at 0x13162d8>) of role type named p
% 0.48/0.68  Using role type
% 0.48/0.68  Declaring p:(fofType->Prop)
% 0.48/0.68  FOF formula (p (eps (fun (X:fofType)=> ((p X)->False)))) of role axiom named ax1
% 0.48/0.68  A new axiom: (p (eps (fun (X:fofType)=> ((p X)->False))))
% 0.48/0.68  FOF formula ((p (eps p))->False) of role axiom named ax2
% 0.48/0.68  A new axiom: ((p (eps p))->False)
% 0.48/0.68  Parameter fofType_DUMMY:fofType.
% 0.48/0.68  We need to prove []
% 0.48/0.68  Parameter fofType:Type.
% 0.48/0.68  Parameter eps:((fofType->Prop)->fofType).
% 0.48/0.68  Axiom epschoice:(forall (P:(fofType->Prop)), (((ex fofType) (fun (X:fofType)=> (P X)))->(P (eps P)))).
% 0.48/0.68  Parameter p:(fofType->Prop).
% 0.48/0.68  Axiom ax1:(p (eps (fun (X:fofType)=> ((p X)->False)))).
% 0.48/0.68  Axiom ax2:((p (eps p))->False).
% 0.48/0.68  There are no conjectures!
% 0.48/0.68  Adding conjecture False, to look for Unsatisfiability
% 0.48/0.68  Trying to prove False
% 0.48/0.68  Found ax1:(p (eps (fun (X:fofType)=> ((p X)->False))))
% 0.48/0.68  Found ax1 as proof of (p (eps (fun (X:fofType)=> ((p X)->False))))
% 0.48/0.68  Found (ex_intro000 ax1) as proof of ((ex fofType) (fun (X:fofType)=> (p X)))
% 0.48/0.68  Found ((ex_intro00 (eps (fun (X:fofType)=> ((p X)->False)))) ax1) as proof of ((ex fofType) (fun (X:fofType)=> (p X)))
% 0.48/0.68  Found (((ex_intro0 (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1) as proof of ((ex fofType) (fun (X:fofType)=> (p X)))
% 0.48/0.68  Found ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1) as proof of ((ex fofType) (fun (X:fofType)=> (p X)))
% 0.48/0.68  Found ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1) as proof of ((ex fofType) (fun (X:fofType)=> (p X)))
% 0.48/0.68  Found (epschoice0 ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1)) as proof of (p (eps p))
% 0.48/0.68  Found ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1)) as proof of (p (eps p))
% 0.48/0.68  Found ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1)) as proof of (p (eps p))
% 0.48/0.68  Found (ax2 ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1))) as proof of False
% 0.48/0.68  Found (ax2 ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1))) as proof of False
% 0.48/0.68  Got proof (ax2 ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1)))
% 0.48/0.68  Time elapsed = 0.052862s
% 0.48/0.68  node=22 cost=375.000000 depth=10
% 0.48/0.68  ::::::::::::::::::::::
% 0.48/0.68  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.68  (ax2 ((epschoice p) ((((ex_intro fofType) (fun (X:fofType)=> (p X))) (eps (fun (X:fofType)=> ((p X)->False)))) ax1)))
% 0.48/0.68  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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